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WaterDemandandSupply
AnalysisunderChangingClimatic
Conditions
by
MdMahmudulHaque
B.Sc(CivilEngg.),M.Sc(CivilandEnvironmentalEngg.)
Athesissubmittedinfulfilmentforthedegreeof
DoctorofPhilosophy
SchoolofComputing,EngineeringandMathematics
UniversityofWesternSydney
Australia
November2014
Dedicated
To
MyWonderfulParents,BelovedWifeandSweetSister
WhoareMyInspirations
ClimatechangeimpactonwaterdemandandsupplyABSTRACT
ABSTRACT
Water is an essential natural resource, which plays a vital role in supporting human
life, environmental and ecological systems. Water is increasingly being viewed as a
severely stressed resource. This important resource is likely to be affected by climate
change conditions in a negative way at many locations which will have direct impact
on the ability of a water supply system to ensure adequate water supply to meet
customer demands in the future. Both water demand and catchment water yield (i.e.
runoff) are the two vital components in estimating adequacy of a water supply
system. Since these two components of a water supply system are likely to be
affected by changing climate conditions in future, it is essential to estimate climate
change impact on them to get a reliable estimate of the yield of a water supply
system. Moreover, the acknowledgement and proper quantification of uncertainties
in catchment water yield as well as in water demand forecasting are crucial to
facilitate decision making by the policy makers to manage water resources
effectively and to ensure adequate water supply to the cities.
However, despite the emerging concern of climate change issue, application of
Global Climate Models’ (GCMs’) data (which is an important tool in climate change
impact studies and which provides future climate scenarios under different
greenhouse gas emission conditions) in forecasting water demand is limited in the
scientific literature. Moreover, there is a lack of knowledge on the estimation of
uncertainty in the water demand forecasting by accounting for the stochastic nature
of the predictor variables and their inter correlations. In addition, exploration of the
performance of a water supply system under combined effect of uncertain climate,
water demand and catchment water yield scenarios are limited. Therefore, this thesis
has investigated the impacts of climate change on water demand, catchment yield
and water supply system reliability using a suite of statistical techniques,
hydrological modelling, uncertainty analysis and outputs from GCMs.
In this thesis, the Blue Mountains region and the Blue Mountains Water Supply
System in western Sydney, New South Wales, Australia were selected as the study
area and water supply system, respectively.
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ClimatechangeimpactonwaterdemandandsupplyABSTRACT
In this research, impact of climate change on future water demand has been
investigated by using the climate projections from a GCM and uncertainties in
demand projections being estimated by developing a long term probabilistic water
demand forecasting model considering stochastic nature of the predictor variables
and correlation structures. The probabilistic water demand forecasting model has
been developed by adopting a Monte Carlo simulation technique with multivariate
normal distribution. Climate change impact on future catchment water yield (i.e.
runoff) and their associated uncertainties are estimated by coupling the GCMs’
projections with the rainfall-runoff models. Four different GCMs (MIROC, ECHAM
5, CSIRO Mk. 3 and CCCMA) and two rainfall-runoff models (AWBM and
SIMHYD) have been used to estimate future catchment water yield scenarios. This
research has also developed an integrated methodology to examine the performance
of a water supply system under future climate, water demand and runoff scenarios in
the future periods.
It has been found that the impacts of potential future climate change on water
demand are negligible. On the other hand, it has been found that future catchment
runoff/water yield scenarios will be notably affected by the climate change
conditions. Moreover, it has been found that consideration of future climate change
scenarios on water demand and catchment yield in an integrated modelling
framework can provide important insights on the reliability and resilience of a water
supply system i.e. when a water supply system may not be able to provide the desired
water supply. Furthermore, it has been found that the choice of GCM is the largest
source of uncertainty in the forecasted runoff among other possible sources. The
uncertainty due to the internal variability of a GCM (i.e. realisation uncertainty) has
also been found to be notably high. The ranking of various sources of uncertainties
are found to be as: GCM uncertainty > realisation uncertainty > rainfall – runoff
model uncertainty > rainfall-runoff model parameter uncertainty.
From this study, the main recommendation for water authorities/policy makers is to
consider a number of possible estimates of future water demand and water yield
scenarios in investigating the performance of a water supply system under changing
climate regime. Consequently, a number of potential assessment scenarios, GCMs
and rainfall-runoff models and associated uncertainties should be considered in
estimating the future water demand and water yield scenarios.
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ClimatechangeimpactonwaterdemandandsupplyABSTRACT
The developed methods along with the outcomes of the research would provide vital
knowledge about the possible climate change impact on future water demand and
runoff, and future performance of a water supply system for better planning and
management of a water supply system. This will also help to develop appropriate
adaptive strategies to supply adequate water to the communities. The methodologies
developed in this thesis can be adopted to other regions and to other water supply
systems in Australia and elsewhere in the world.
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ClimatechangeimpactonwaterdemandandSupplySTATEMENTOFAUTHENTICATION
STATEMENT OF AUTHENTICATION
I, Md Mahmudul Haque, declare that all the materials presented in the PhD thesis
entitled ‘Water demand and supply analysis under changing climatic conditions’ are
of my own work, and that any work adopted from other sources is duly cited and
referenced as such.
This thesis contains no material that has been submitted previously, in whole or in
part, for any award or degree in other university or institution. ………………………………………
Md Mahmudul Haque
November, 2014
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ClimatechangeimpactonwaterdemandandsupplyACKNOWLEDGEMENTS
ACKNOWLEDGEMENTS
I would like to express heartiest gratitude and thankfulness to my Principal
Supervisor, Associate Professor Ataur Rahman for his scholastic guidance, continued
encouragement, invaluable support and suggestions throughout my study at
University of Western Sydney (UWS). He has been a great source of confidence and
inspiration for me, continuously providing insightful comments with detailed
attention to my arguments and timely advice on my work. He offered comprehensive
comments and suggestions in reviewing my writings at the same time respecting my
voice. He has often taken time to introduce me to the scholarly people within the
discipline, kept me focused and carefully listened to my concerns. I am greatly
indebted to Dr Rahman for his valuable time and efforts throughout this thesis, and I
am truly blessed and honoured to work with such a great supervisor. I also like to
thank Dr Rahman for providing me the research assistanceship and opportunity to
work in the Australian Rainfall-Runoff revision project.
I would also like to give special thanks to Dr Dharma Hagare who has been a strong
and supportive Associate Supervisor throughout my study. He has been always
helpful and taken his time to thoroughly review my writings and give his valuable
suggestions to improve my work. I am also grateful to him for providing financial
assistance by giving the teaching assistance throughout my study. I would like to
thank Dr Khaled Haddad and late Dr Mohammad Ashrafuz Zaman for their
assistance in some of the statistical techniques adopted in this thesis. I would also
like to express my gratitude and convey thanks to the Research Director at UWS,
Professor Wei Xing Zheng for his wonderful support and guidance during my study.
I would like to express my appreciation to Sydney Catchment Authority, and
especially Mr Golam Kibria and Mr Mahes Maheswaran, who have been an excellent
industry guide for their wonderful support and cooperation to provide the necessary
data to carry out the research. I would also like to give thanks to Ms Lucinda
Maunsell and Ms Pei Tillman from Sydney Water for their nice support to get the
valuable data in relation to water demand in the Blue Mountains region.
Finally, I would especially like to thank to my wonderful parents, loving wife and
sweet sister for their endless love, care and patience. Moreover, I would like to give
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ClimatechangeimpactonwaterdemandandsupplyACKNOWLEDGEMENTS
thanks to my fellow PhD colleagues and friends for the fun times, and being
supportive and providing courage and motivation during the study period.
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ClimatechangeimpactonwaterdemandandsupplyLISTOFPUBLICATIONS
PUBLICATIONS MADE FROM THE RESEARCH
PRESENTED IN THIS THESIS
Journal papers
1. Haque, M.M., Rahman, A., Hagare, D., Kibria, G. and Karim, F. 2015.
Estimation of catchment yield and associated uncertainties due to climate
change in a mountainous catchment in Australia. Hydrological Processes,
published online, DOI: 10.1002/hyp.10492. (ERA 2010 ranking: A, Impact
factor: 2.69).
2. Haque, M.M., Hagare, D., Rahman, A., and Kibria, G. 2014. Quantification
of water savings due to drought restrictions in water demand forecasting
models. Journal of Water Resources Planning and Management, 140(11),
04014035. (ERA 2010 ranking: A*, Impact factor: 1.76).
3. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2014. Parameter
uncertainty of the AWBM model when applied to an ungauged catchment.
Hydrological Processes, published online, DOI: 10.1002/hyp.10283. (ERA
2010 ranking: A, Impact factor: 2.69).
4. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2014. Probabilistic
water demand forecasting using projected climatic data for Blue Mountains
Water Supply System in Australia. Water Resources Management, 28(7),
1959-1971. (ERA 2010 ranking: B, Impact factor: 2.46).
5. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2014. Impact of
climate change on future water demand: A case study for the Blue Mountains
Water Supply System, NSW, Australia. Water Journal of the Australian
Water Association, 41(1), 57-62. (ERA 2010 ranking: C).
6. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2013. Principal
component regression analysis in water demand forecasting: An application
to the Blue Mountains, NSW, Australia. Journal of Hydrology and
Environment Research, 1(1), 49-59. (not ERA ranked).
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ClimatechangeimpactonwaterdemandandsupplyLISTOFPUBLICATIONS
7. Haque, M.M., Egodawatta, P., Rahman, A. and Goonetilleke, A. 2015.
Assessing the significance of climate and community factors on urban water
demand. International Journal of Sustainable Built Environment, under
review. (not ERA ranked).
Full length conference papers
1. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2013. A comparison
of linear and nonlinear regression modelling for forecasting long term urban
water demand: A Case Study for Blue Mountains Water Supply System in
Australia. In proceedings of the presented in 6th International Conference on
Water Resource and Environmental Research (ICWRER 2013), June 3-7,
2013, Koblenz, Germany.
2. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2013. Climate change
impact assessment on water resources in the Blue Mountains, Australia, In
proceedings of the 6th International Conference on Water Resource and
Environmental Research (ICWRER 2013), June 3-7, 2013, Koblenz,
Germany.
3. Haque, M.M., Rahman, A., Hagare, D. and Kibria, G. 2013. Identification of
suitable predictor variables for water demand forecasting model by principal
component analysis: An application to the Blue Mountains, NSW, Australia.
In proceedings of the 35th IAHR World Congress, September 8-13, 2013,
Chengdu, China.
4. Haque, M.M., Haddad, K., Rahman, A., Hossain, M., Hagare, D. and Kibria,
G. 2013. Long term water demand forecasting: Use of Monte Carlo crossvalidation for the best model selection. In proceedings of the 20th
International Congress on Modelling and Simulation (MODSIM2013,
December 1-6, 2013, Adelaide, Australia.
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ClimatechangeimpactonwaterdemandandsupplyLISTOFPUBLICATIONS
Book Chapter
1. Haque, M.M., Ahmed, A. and Rahman, A. (2013). Impacts of water price
and restriction on water demand: A case study for Australia. In Water
Conservation: Practices, Challenges and Future Implications, edited by
Monzur A. Imteaz, published by Nova, ISBN: 978-1-62948-025-1.
2. Haque, M.M., Rahman, A., Goonetilleke, A., Hagare, D. and Kibria, G.
(2015). Impact of climate change on urban demand in future decades: An
Australian case study, in “Advances in Environmental Research”, Nova
Publishers, USA, under review.
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ClimatechangeimpactonwaterdemandandsupplyTABLEOFCONTENTS
TABLE OF CONTENTS
ABSTRACT -----------------------------------------------------------------------------
i
STATEMENT OF AUTHENTICATION ----------------------------------------- iv
ACKNOWLEDGEMENTS ----------------------------------------------------------
v
PUBLICATIONS MADE FROM THE RESEARCH PRESENTED IN
THIS THESIS --------------------------------------------------------------------------
vii
TABLE OF CONTENTS ------------------------------------------------------------- x
LIST OF TABLES ---------------------------------------------------------------------
xvii
LIST OF FIGURES -------------------------------------------------------------------
xxi
LIST OF ABBREVIATIONS -------------------------------------------------------
xxxiv
CHAPTER 1 :
INTRODUCTION
1.1
Overview -----------------------------------------------------------------------
1
1.2
Background --------------------------------------------------------------------
1
1.3
Need for this research --------------------------------------------------------- 5
1.4
Research questions ------------------------------------------------------------
1.5
Summary of research undertaken in this thesis --------------------------- 6
1.6
Contributions to knowledge -------------------------------------------------
1.7
Outline of the thesis ----------------------------------------------------------- 9
CHAPTER 2 :
6
8
REVIEW OF CLIMATE CHANGE IMPACT
ANALYSIS ON WATER DEMAND AND YIELD
ESTIMATION IN URBAN WATER SUPPLY
SYSTEMS
2.1
Overview -----------------------------------------------------------------------
12
2.2
Climate change issues relevant to water security -------------------------
12
2.3
Linkage of climate change/variables with urban water demand --------
13
2.4
Climate change analysis/studies on future water demand ---------------
14
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ClimatechangeimpactonwaterdemandandsupplyTABLEOFCONTENTS
2.5
Impact of water restrictions on urban water demand ---------------------
15
2.6
Urban water demand forecasting -------------------------------------------- 19
2.6.1 Temporal scales/types of urban water demand
Forecasting ------------------------------------------------------------
20
2.6.2 Deterministic vs. probabilistic water demand
2.7
Forecasting ------------------------------------------------------------
21
Climate change impact on water resources --------------------------------
22
2.7.1 Uncertainties in climate change impact analysis
on catchment yield ---------------------------------------------------
23
2.7.1.1
Uncertainty due to GCM -------------------------------- 24
2.7.1.2
Downscaling uncertainty -------------------------------- 27
2.7.1.3
Emission scenario uncertainty -------------------------
28
2.7.1.4
Realisation uncertainty ----------------------------------
29
2.7.1.5
Hydrological model uncertainty -----------------------
30
2.7.2 Climate change impact analysis on ungauged
catchments ------------------------------------------------------------
31
2.7.2.1
Uncertainty owing to input data -----------------------
32
2.7.2.2
Uncertainty owing to observed gauged/output data -
33
2.7.2.3
Uncertainty owing to choice of optimization
technique --------------------------------------------------
2.7.2.4
33
Uncertainty owing to choice of calibration and
validation data length ------------------------------------ 34
2.8
2.9
Climate and demand uncertainty on yield of urban water
supply systems ----------------------------------------------------------------
35
Summary -----------------------------------------------------------------------
37
CHAPTER 3 :
STUDY AREA AND DATA
3.1
Overview -----------------------------------------------------------------------
40
3.2
Case study area and its importance -----------------------------------------
40
3.3
Catchments and dams in the BMWSS -------------------------------------- 41
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ClimatechangeimpactonwaterdemandandsupplyTABLEOFCONTENTS
3.4
Climate conditions of the study area ---------------------------------------- 42
3.5
Water conservation programs and water restrictions ---------------------
46
3.6
Data collection and future projections of the variables ------------------
46
3.6.1 Historical water demand in the BMWSS -------------------------
46
3.6.2 Water price ------------------------------------------------------------
48
3.6.3 Number of dwellings ------------------------------------------------- 49
3.6.4 Water conservation programs --------------------------------------- 50
3.6.5 Climate projections --------------------------------------------------- 52
3.6.6 Runoff ------------------------------------------------------------------ 53
3.7
Summary -----------------------------------------------------------------------
CHAPTER 4 :
53
IMPACT OF WATER RESTRICTIONS ON URBAN
WATER DEMAND
4.1
Overview -----------------------------------------------------------------------
56
4.2
Methodology -------------------------------------------------------------------
56
4.2.1 Multiple regression analysis ----------------------------------------
58
4.2.2 Estimation of total water savings ----------------------------------- 58
4.2.2.1
Yearly base difference method (YBDM) -------------
58
4.2.2.2
Before and after method (BAM) ----------------------- 59
4.2.2.3
Expected use method (EUM) --------------------------- 60
4.2.2.4
Weighted average method (WAM) -------------------- 62
4.2.3 Model evaluation criteria -------------------------------------------- 62
4.2.4 Leave-One-Out (LOO) cross validation --------------------------- 64
4.3
Water demand variables ------------------------------------------------------
64
4.4
Results --------------------------------------------------------------------------
67
4.5
Summary -----------------------------------------------------------------------
79
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ClimatechangeimpactonwaterdemandandsupplyTABLEOFCONTENTS
CHAPTER 5 :
PROBABILISTIC FORECASTING OF LONG
TERM URBAN WATER DEMAND
5.1
Overview -----------------------------------------------------------------------
83
5.2
Methodology -------------------------------------------------------------------
83
5.2.1 Multivariate normal distribution -----------------------------------
86
Results --------------------------------------------------------------------------
88
5.3
5.3.1 Water demand forecasting results in the single
dwelling sector -------------------------------------------------------- 88
5.3.2 Water demand forecasting results in the multiple
dwelling sector -------------------------------------------------------- 93
5.4
Summary -----------------------------------------------------------------------
CHAPTER 6 :
99
IMPACT OF CLIMATE CHANGE ON URBAN
WATER DEMAND
6.1
Overview -----------------------------------------------------------------------
103
6.2
Methodology -------------------------------------------------------------------
103
6.2.1 Principal component analysis --------------------------------------- 103
6.2.2 Impact of climate change on urban water demand --------------- 104
6.3
Results --------------------------------------------------------------------------
106
6.3.1 Relative influence of variables on urban water demand --------
106
6.3.2 Impact of climate change on urban water demand --------------- 110
6.4
Summary -----------------------------------------------------------------------
CHAPTER 7 :
116
ESTIMATION OF PARAMETER SETS AND
EVALUATION OF UNCERTATINTIES IN
CALIBRATION OF A RAINFALL-RUNOFF MODEL
7.1
Overview -----------------------------------------------------------------------
120
7.2
Rainfall - runoff models ------------------------------------------------------
120
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7.2.1 AWBM model structure ---------------------------------------------
120
7.2.2 SIMHYD model structure ------------------------------------------- 122
7.3
Methodology -------------------------------------------------------------------
124
7.3.1 Model results evaluation criteria -----------------------------------
126
7.3.2 Uncertainty due to variability in rainfall time series ------------
127
7.3.3 Uncertainty due to variability in optimization methods --------- 128
7.3.4 Uncertainty due to variability in calibration data lengths -------
129
7.3.5 Estimation of runoff -------------------------------------------------- 130
7.4
Results --------------------------------------------------------------------------
131
7.4.1 Uncertainty due to input rainfall data ------------------------------ 131
7.4.2 Uncertainty due to optimization methods -------------------------
133
7.4.3 Uncertainty due to calibration data length ------------------------
134
7.4.4 Runoff estimation at the Katoomba and Blackheath
(ungauged) catchments ----------------------------------------------
136
7.4.5 Calibration and runoff estimation results using the
7.5
SIMHYD model ------------------------------------------------------
139
Summary -----------------------------------------------------------------------
142
CHAPTER 8 :
ESTIMATION OF FUTURE RUNOFF,
UNCERTAINTIES AND FUTURE PERFORMANCE
OF A WATER SUPPLY SYSTEM UNDER
CHANGING CLIMATE CONDITIONS
8.1
Overview -----------------------------------------------------------------------
146
8.2
Methodology -------------------------------------------------------------------
146
8.2.1 Forecasting runoffs --------------------------------------------------- 146
8.2.2 Estimating uncertainties ---------------------------------------------
148
8.2.3 Assessing the reliability of a water supply system --------------- 149
8.3
Results --------------------------------------------------------------------------
154
8.3.1 Rainfall projections --------------------------------------------------
154
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ClimatechangeimpactonwaterdemandandsupplyTABLEOFCONTENTS
8.3.2 Uncertainty due to internal variability of a GCM
(Realisation uncertainty) --------------------------------------------
155
8.3.3 Uncertainty due to choice of GCMs (GCM uncertainty) -------
156
8.3.4 Uncertainty due to choice of rainfall-runoff models ------------- 157
8.3.5 Uncertainty due to choice of rainfall-runoff model parameter -
157
8.3.6 Comparison of uncertainties ----------------------------------------
158
8.3.7 Forecasting of runoffs (Median projections) ---------------------
160
8.3.8 Forecasting of runoffs (5th and 95th percentile) -----------------
163
8.3.9 Performance assessment of the Blue Mountains
8.4
Water Supply System ------------------------------------------------
164
Summary -----------------------------------------------------------------------
176
CHAPTER 9 :
SUMMARY, CONCLUSIONS AND
RECOMMENDATIONS
9.1
Summary -----------------------------------------------------------------------
179
9.1.1 Selection of the study area and data collection -------------------
179
9.1.2 Assessing the impacts of water restriction on
urban water demand -------------------------------------------------- 180
9.1.3 Forecasting the long term urban water demand
in a probabilistic way ------------------------------------------------
181
9.1.4 Assessing the impact of climate change on
urban water demand -------------------------------------------------- 182
9.1.5 Estimating the calibrated parameter sets and uncertainties
in the calibration of a rainfall-runoff model ----------------------
183
9.1.6 Estimating future runoff, uncertainties and future
performance of a water supply system under
changing climate conditions ----------------------------------------
183
9.2
Conclusions --------------------------------------------------------------------
185
9.3
Recommendation for further study -----------------------------------------
186
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ClimatechangeimpactonwaterdemandandsupplyTABLEOFCONTENTS
REFERENCES -------------------------------------------------------------------------
188
APPENDIX A : ADDITIONAL TABLES AND FIGURES FROM
CHAPTER 4 --------------------------------------------------------
210
APPENDIX B : ADDITIONAL TABLES AND FIGURES FROM
CHAPTER 5 -------------------------------------------------------
217
APPENDIX C : ADDITIONAL TABLES AND FIGURES FROM
CHAPTER 7 -------------------------------------------------------
226
APPENDIX D : ADDITIONAL TABLES AND FIGURES FROM
CHAPTER 8 -------------------------------------------------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFTABLES
LIST OF TABLES
Table 2.1
Levels, scope and timing of water restrictions imposed in Sydney during the
drought periods (2003-2009) ---------------------------------------------------------
19
Table 2.2
List of Global Climate Models (GCMs), (Randall et al. 2007) -----------------
25
Table 2.3
Future growth patterns of population, economy and technology owing to
four sets of scenario storylines (A1, A2, B1 and B2) (Nakićenović et al.
2000) ------------------------------------------------------------------------------------
Table 3.1
30
Monthly mean maximum temperature of the Blue Mountains region for the
period of 1997-2011 -------------------------------------------------------------------
42
Table 3.2
Water price data for the Blue Mountains region of the period 1997 to 2012 --
49
Table 3.3
Average water savings from the water conservation programs -----------------
51
Table 3.4
List of the GCMs used in this study and their spatial resolution ----------------
52
Table 4.1
List of dependent and independent variables used in developing water
demand models ------------------------------------------------------------------------
65
Table 4.2
Performance statistics of the developed models for the single dwelling sector
68
Table 4.3
Performance statistics of the developed models for the multiple dwelling
sector ------------------------------------------------------------------------------------
Table 4.4
72
Percentage of water savings due to water restrictions during the drought
periods (2003-2009) in the single dwelling sector in the Blue Mountains
region ------------------------------------------------------------------------------------
Table 4.5
72
Percentage of water savings due to water restrictions during the drought
periods (2003-2009) in the multiple dwelling sector in the Blue Mountains
region ------------------------------------------------------------------------------------
Table 4.6
73
Performance statistics of the developed Semi-Log model for the forecasting
period (July 2009 to September 2011) in the single and multiple dwelling
sectors -----------------------------------------------------------------------------------
Table 5.1
77
50th percentile (most expected value) of the forecasted water demand values
for the single dwelling sector in the Blue Mountains region in the period of
2015 – 2040 under twelve water demand scenarios ------------------------------
Table 5.2
90
50th percentile (most expected value) of the forecasted water demand values
for the multiple dwelling sector in the Blue Mountains region in the period
of 2015 – 2040 under twelve water demand scenarios ---------------------------
Table 6.1
Description of the dependent and independent variables used in the Principal
Component Analysis (PCA) ---------------------------------------------------------
Table 6.2
95
106
Water demand forecasting results of the decades of 2021 – 2030 and 2031 –
2040 in the single dwelling sector (Bracketed results indicate percentage
changes in the forecasting results in comparison to the predicted water
demand under current climate condition (1960 – 2012)) ------------------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFTABLES
Table 6.3
Projection of future climate by the CSIRO Mk. 3 global climate model
(GCM) under three emission scenarios (A1B, A2 and B1) of the two
decades 2021 – 2030 and 2031 – 2040 (Bracketed results indicate
percentage changes in the forecasting temperature and rainfall values in
comparison to the observed climate data of 1960 – 2012) -----------------------
Table 6.4
Projection of future water demand under three hypothetical climate change
scenarios in the year, 2040 in the single dwelling sector -------------------------
Table 6.5
112
114
Water demand forecasting results of the decades of 2021 – 2030 and 2031 –
2040 in the multiple dwelling sector (Bracketed results indicate percentage
changes in the forecasting results in comparison to the predicted water
demand under current climate condition (1960 – 2012)) ------------------------
Table 6.6
115
Projection of future water demand under three hypothetical climate change
scenarios in the year, 2040 in the multiple dwelling sector ----------------------
115
Table 7.1
Descriptions of the AWBM and SIMHYD model parameters ------------------
123
Table 7.2
Comparison of calibration results of the AWBM model with five different
rainfall inputs ---------------------------------------------------------------------------
Table 7.3
Effect of rainfall scaling factor on the calibration results of the AWBM
model ------------------------------------------------------------------------------------
Table 7.4
133
Performance statistics of the AWBM model based on different optimization
methods ---------------------------------------------------------------------------------
Table 7.5
133
134
Values of NSE (total), average ratio, MBIAS (%) and V (%) for the 23 tests
due to different calibration and validation data lengths adopting the AWBM
model ------------------------------------------------------------------------------------
Table 7.6
137
Estimated runoff of the Blue Mountains catchments (Katoomba and
Blackheath) by the AWBM model for the period 1988-2012 by transposing
the calibrated parameter from the nearby catchment -----------------------------
Table 7.7
138
Estimated annual average runoff for the Katoomba and Blackheath
catchments on the basis of the regional methods by Boughton (2009) and
Boughton and Chiew (2007) for the period of 1988-2012 -----------------------
Table 7.8
Performance statistics of the SIMHYD model based on different
optimization methods -----------------------------------------------------------------
Table 7.9
139
140
Values of NSE (total), average ratio, MBIAS (%) and V (%) for the 23 tests
due to different calibration and validation data lengths adopting the
SIMHYD model -----------------------------------------------------------------------
Table 7.10
141
Estimated runoff of the Blue Mountains catchments (Katoomba and
Blackheath) by the SIMHYD model for the period 1988-2012 by
transposing the calibrated parameter from the nearby catchment ---------------
Table 8.1
Twelve combinations of future water demand and runoff scenarios to assess
the performance of the Blue Mountains Water Supply System -----------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFTABLES
Table 8.2
Percentage of rainfall changes in the future decades projected by the four
GCMs compared to annual average rainfall during the period 1987 – 2012 --
Table 8.3
155
Percentage changes of median projections of mean annual runoff in
comparison to the reference period (1987-2012) in the Blue Mountains
catchments ------------------------------------------------------------------------------
Table 8.4
th
161
th
Percentage changes in the 5 and 95 percentiles projections of the mean
annual runoff adopting the AWBM model in comparison to the reference
period (1987-2012) --------------------------------------------------------------------
Table 8.5
164
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under A1B-No water demand and four runoff
scenarios in the 2021-2040 periods -------------------------------------------------
Table 8.6
166
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System (BMWSS) under A1B-L1 water demand and four
runoff scenarios in the 2021-2040 periods -----------------------------------------
Table 8.7
167
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System (BMWSS) under A1B-L2 water demand and four
runoff scenarios in the 2021-2040 periods -----------------------------------------
Table 8.8
168
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System (BMWSS) under A1B-L3 water demand and four
runoff scenarios in the 2021-2040 periods -----------------------------------------
Table A.4.1
170
Calculation of total water savings by “yearly base difference method
(YBDM)” in 2004 for the single dwelling sector ---------------------------------
210
Table A.4.2
Monthly average base water use (1997-2002) in the single dwelling sector --
211
Table A.4.3
Calculation of total water savings by “before and after method (BAM)” in
2004 for the single dwelling sector --------------------------------------------------
Table A.4.4
Calculation of total water savings by “expected use method (EUM)” in 2004
for the single dwelling sector --------------------------------------------------------
Table A.4.5
212
Calculation of total water savings by “weighted average method (WAM)” in
2004 for the single dwelling sector --------------------------------------------------
Table A.4.6
214
Results of leave-one-out cross validation of the developed model for the
single dwelling sector -----------------------------------------------------------------
Table A.4.8
213
Calculation of water savings from conservation programs implemented in
the Blue Mountains region in January, 2007 --------------------------------------
Table A.4.7
211
215
Results of leave-one-out cross validation of the developed model for the
multiple dwelling sector --------------------------------------------------------------
216
Table C.7.1
AWBM model parameter values for the selected three parameter sets --------
226
Table C.7.2
SIMHYD model parameter values for the selected three parameter sets ------
227
Table D.8.1
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under A2-No water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFTABLES
Table D.8.2
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under A2-L1 water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
Table D.8.3
253
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under A2-L2 water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
Table D.8.4
254
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under A2-L3 water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
Table D.8.5
254
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under B1-No water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
Table D.8.6
256
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under B1-L1 water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
Table D.8.7
257
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under B1-L2 water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
Table D.8.8
258
Forecasted values of reliability and security criteria for the Blue Mountains
Water Supply System under B1-L3 water demand and four runoff scenarios
in the 2021-2040 periods -------------------------------------------------------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
LIST OF FIGURES
Figure 1.1
Illustration of the major steps conducted in this research study ----------
9
Figure 2.1
Different pathways of downscaling of GCM outputs (Fowler et al.
2007) ------------------------------------------------------------------------------
Figure 3.1
28
Location of the Blue Mountains region in the New South Wales,
Australia --------------------------------------------------------------------------
Figure 3.2
Water supply zone (Mt Victoria to Faulconbridge) of the Blue
Mountains water supply system (City of Blue Mountains 2007) ---------
Figure 3.3
44
Location maps of the study catchments (Katoomba, Blackheath and
Narrow Neck catchments) (NSW Office of Water 2014) -----------------
Figure 3.6
45
Annual rainfall of the Blue Mountains region for the period of 19972011 (red line represents annual average rainfall) -
Figure 3.7
45
Composition of total water consumption in the Blue Mountains region,
NSW, Australia for the period of 1997-2011 --------------------------------
Figure 3.8
48
Number of total dwellings in the Blue Mountains region during the
period of 1997 to 2011 ---------------------------------------------------------
Figure 3.11
47
Per dwelling monthly water consumption of the residential sector
(1997-2010) in the Blue Mountains region, Australia ---------------------
Figure 3.10
47
Yearly total water consumption (1997-2010) in the Blue Mountains
region, Australia -----------------------------------------------------------------
Figure 3.9
44
Location maps of the Blue Mountains dams in the New South Wales,
Australia (Sydney Catchment Authority 2014) -----------------------------
Figure 3.5
43
Blue Mountains water supply system (Sydney Catchment Authority
2009a) -----------------------------------------------------------------------------
Figure 3.4
41
50
Number of participated dwellings in the water conservation programs
(1: WaterFix, 2: Rainwater tank, 3: DIY, 4: Washing machine and 5:
Toilet replacement) in the Blue Mountains region for the period of
2000 to 2011 ---------------------------------------------------------------------
Figure 4.1
51
Framework for quantifying water savings and developing water
demand forecasting models ----------------------------------------------------
Figure 4.2
Framework of calculating total water savings by expected use method
(EUM) ----------------------------------------------------------------------------
Figure 4.3
57
60
Comparison of the observed and modelled water use for the period of
January 1999 to December 2002 in the Blue Mountains region using
“climate water demand” model -----------------------------------------------
Figure 4.4
61
Validation results of the observed and modelled water use for the
period of January 1997 to December 1998 in the Blue Mountains
region using “climate water demand” model --------------------------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure 4.5a
Comparison of modelled versus observed water consumption by the
best model (Semi-Log) for the single dwelling sector during water
restriction periods under “yearly base difference method (YBDM)” of
water savings calculation -------------------------------------------------------
Figure 4.5b
70
Comparison of modelled versus observed water consumption by the
best model (Raw-Data) for the single dwelling sector during water
restriction periods under “expected use method (EUM)” of water
savings calculation --------------------------------------------------------------
Figure 4.5c
70
Comparison of modelled versus observed water consumption by the
best model (Log-Log) for the single dwelling sector during water
restriction periods under “weighted average method (WAM)” of water
savings calculation --------------------------------------------------------------
Figure 4.5d
71
Comparison of modelled versus observed water consumption by the
best model (Raw-Data) for the single dwelling sector during water
restrictions periods under “before and after method (BAM)” of water
savings calculation --------------------------------------------------------------
Figure 4.6a
71
Comparison of modelled versus observed water consumption by the
best model (Semi-Log) under “yearly base difference method
(YBDM)” of water savings calculation for the multiple dwelling sector
during water restriction periods -----------------------------------------------
Figure 4.6b
74
Comparison of modelled versus observed water consumption by the
best model (Log-Log) under “expected use method (EUM)” of water
savings calculation for the multiple dwelling sector during water
restriction periods ---------------------------------------------------------------
Figure 4.6c
74
Comparison of modelled versus observed water consumption by the
best model (Raw data) under “weighted average method (WAM)” of
water savings calculation for the multiple dwelling sector during water
restriction periods ---------------------------------------------------------------
Figure 4.6d
75
Comparison of modelled versus observed water consumption by the
best model (Log-Log) under “before and after method (BAM)” of
water savings calculation for the multiple dwelling sector during water
restriction periods ---------------------------------------------------------------
Figure 4.7
75
Comparison of monthly forecasted versus observed water demand by
the Semi-Log model coupled with YBDM for the forecasting period
(2009 to 2011) in the single dwelling sector --------------------------------
Figure 4.8
77
Comparison of yearly forecasted versus observed water demand by the
Semi-Log model coupled with YBDM for the forecasting period (2009
to 2011) in the single dwelling sector ----------------------------------------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure 4.9
Comparison of monthly forecasted versus observed water demand
values using the Semi-Log model coupled with YBDM for the
forecasting period (2009 to 2011) in the multiple dwelling sector -------
Figure 4.10
78
Comparison of yearly forecasted versus observed water demand values
using the Semi-Log model coupled with YBDM for the forecasting
period (2009 to 2011) in the multiple dwelling sector ---------------------
Figure 5.1
Framework of estimating future water demand scenarios adopting a
probabilistic method ------------------------------------------------------------
Figure 5.2a
79
86
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
no water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence
band) ------------------------------------------------------------------------------
Figure 5.2b
91
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 1 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure 5.2c
92
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 2 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure 5.2d
92
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 3 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure 5.3a
93
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
no water restriction condition for the multiple dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure 5.3b
96
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 1 water restriction condition for the multiple dwelling sector in
the Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure 5.3c
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 2 water restriction condition for the multiple dwelling sector in
the Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure 5.3d
97
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 3 water restriction condition for the multiple dwelling sector in
the Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure 6.1
97
Framework of the climate change impact assessment on urban water
demand (‘T’ refers to monthly maximum temperature and ‘R’ refers to
monthly total rainfall) ----------------------------------------------------------
Figure 6.2
105
Resulting PCA biplot (PC 1 vs. PC 2) of variables (8 independent
variables) influencing water demand, (Data labels (e.g.08_12;
Year_Month) indicate the corresponding year and month in the data
matrix) ----------------------------------------------------------------------------
Figure 6.3
107
Resulting PCA biplot (PC 1 vs. PC 2) on modified data matrix of 9
variables
including
dependent
variable,
PDWC
(Data
labels
(e.g.08_12; Year_Month) indicate the corresponding year and month in
the data matrix) -----------------------------------------------------------------Figure 6.4
108
Resulting PCA biplot (PC 1 vs. PC 2) on modified data matrix of 6
variables (one dependent and five independent variables) after
removing highly correlated variables from similar kinds (Data labels
(e.g.08_12; Year_Month) indicate the corresponding year and month in
the data matrix) ------------------------------------------------------------------
Figure 6.5
Projection of water demand under A1B, A2, B1 and current climate
conditions for the period 2021–2040 in the single dwelling sector ------
Figure 6.6
109
111
Projection of water demand under A1B, A2, B1 and current climate
conditions for the period 2021–2040 in the multiple dwelling sector ----
114
Figure 7.1
Structure of the AWBM model (Boughton 2004) --------------------------
122
Figure 7.2
Structure of the SIMHYD model (Podger 2004) ---------------------------
124
Figure 7.3
Total, calibration and validation NSE values for the 23 tests due to
different calibration and validation data lengths adopting the AWBM
model -----------------------------------------------------------------------------
Figure 8.1
Framework of forecasting runoff adopting the AWBM and SIMHYD
model using the projected climate data --------------------------------------
Figure 8.2
136
147
Framework of estimating uncertainty due to choice of Global Climate
Models (i.e. GCM uncertainty) ------------------------------------------------
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure 8.3
Framework of estimating uncertainty due to internal variability of a
Global climate model (i.e. realisation uncertainty) -------------------------
Figure 8.4
Framework of estimating uncertainty due to choice of rainfall-runoff
models (i.e. rainfall-runoff model uncertainty) -----------------------------
Figure 8.5
151
Framework of estimating uncertainty due to choice of rainfall-runoff
model parameter sets (i.e. rainfall-runoff model parameter uncertainty)
Figure 8.6
150
152
Forecasted 36 total water demand scenarios for the period of 20212040 -------------------------------------------------------------------------------
153
Figure 8.7
Forecasted 12 runoff scenarios for the period of 2021-2040 --------------
153
Figure 8.8
Coefficient of variation (CV) values of the simulated median runoffs
using data from the four GCMs (i.e. CSIRO, CCCMA, ECHAM 5,
MIROC). The red horizontal line represents the average CV value ------
Figure 8.9
156
Coefficient of variation (CV) values of the simulated runoffs using
ECHAM 5 model data (i.e. realisation uncertainty). The red horizontal
line represents the average CV value ------------------------------------------
Figure 8.10
157
Coefficient of variation (CV) values of the simulated median runoffs
using the CSIRO global climate model data adopting the AWBM and
SIMHYD models (i.e. rainfall-runoff model uncertainty). The red
horizontal line represents the average CV value -----------------------------
Figure 8.11
158
Coefficient of variation (CV) values of the simulated median runoffs by
the AWBM model using the CCCMA GCM data adopting three
different calibrated parameter sets (i.e. rainfall-runoff model parameter
uncertainty). The red horizontal line represents the average CV value ---
Figure 8.12
Comparison of four types of uncertainties by presenting the average CV
(%) values of the forecasted runoff -------------------------------------------
Figure 8.13
159
160
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure 8.14
171
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-No) and runoff (MIROC)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure 8.15
171
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-No) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure 8.16
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure 8.17
172
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L1) and runoff (MIROC)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure 8.18
173
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L1) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure 8.19
173
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure 8.20
174
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L2) and runoff (MIROC)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure 8.21
174
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L2) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure 8.22
175
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure 8.23
175
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L3) and runoff (MIROC)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure 8.24
176
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L3) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure B.5.1(a)
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
no water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence
band) ------------------------------------------------------------------------------
Figure B.5.1(b)
217
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
no water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence
band) ------------------------------------------------------------------------------
Figure B.5.1(c)
218
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
Level 2 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.1(d)
218
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
Level 3 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.2(a)
219
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
No water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence
band) ------------------------------------------------------------------------------
Figure B.5.2(b)
219
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
Level 1 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.2(c)
220
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
Level 2 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.2(d)
220
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
Level 3 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure B.5.3(a)
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
No water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence
band) ------------------------------------------------------------------------------
Figure B.5.3(b)
221
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
Level 1 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.3(c)
222
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
Level 2 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.3(d)
222
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for A2 climate scenario and
Level 3 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.4(a)
223
90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
No water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence
band) ------------------------------------------------------------------------------
Figure B.5.4(b)
223
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
Level 1 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.4(c)
224
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
Level 2 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
Figure B.5.4(d)
224
th
90% confidence intervals and 50 percentile of the forecasted total
yearly water demands from 2015 to 2040 for B1 climate scenario and
Level 3 water restriction condition for the single dwelling sector in the
Blue Mountains region (grey area in the plot refers to the 90%
confidence band) ----------------------------------------------------------------
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure D.8.1
Coefficient of variation (CV) values of the simulated runoffs using
MIROC model data (i.e. realisation uncertainty). The red horizontal
line represents the average CV value ------------------------------------------
Figure D.8.2
228
Coefficient of variation (CV) values of the simulated runoffs using
CCCMA model data (i.e. realisation uncertainty). The red horizontal
line represents the average CV value ------------------------------------------
Figure D.8.3
228
Coefficient of variation (CV) values of the simulated runoffs using
CSIRO model data (i.e. realisation uncertainty). The red horizontal line
represents the average CV value -----------------------------------------------
Figure D.8.4
229
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.5
229
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.6
230
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.7
230
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-No) and runoff (ECHAM 5)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.8
231
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-No) and runoff (CSIRO)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.9
231
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-No) and runoff (CCCMA)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.10
232
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-No) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure D.8.11
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-No) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.12
233
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-No) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.13
233
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.14
234
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.15
234
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.16
235
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L1) and runoff (ECHAM 5)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.17
235
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L1) and runoff (CSIRO)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.18
236
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L1) and runoff (CCCMA)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.19
236
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L1) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure D.8.20
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L1) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.21
237
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L1) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.22
238
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.23
238
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.24
239
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.25
239
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L2) and runoff (ECHAM 5)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.26
240
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L2) and runoff (CSIRO)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.27
240
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L2) and runoff (CCCMA)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.28
241
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L2) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure D.8.29
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L2) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.30
242
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L2) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.31
242
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.32
243
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.33
243
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.34
244
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L3) and runoff (ECHAM 5)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.35
244
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L3) and runoff (CSIRO)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.36
245
Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile)
using the forecasted water demand (A1B-L3) and runoff (CCCMA)
scenarios: (a) without the FRWS water supply, (b) with the FRWS
water supply ----------------------------------------------------------------------
Figure D.8.37
245
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L3) and runoff (ECHAM 5) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
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ClimatechangeimpactonwaterdemandandsupplyLISTOFFIGURES
Figure D.8.38
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L3) and runoff (CSIRO) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.39
246
Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the
forecasted water demand (A1B-L3) and runoff (CCCMA) scenarios:
(a) without the FRWS water supply, (b) with the FRWS water supply --
Figure D.8.40
247
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-No) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.41
247
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-L1) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.42
248
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-L2) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.43
248
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-L3) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.44
249
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-No) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.45
249
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-L1) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.46
250
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-L2) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
Figure D.8.47
250
Projected status of the Blue Mountains storage under the most probable
scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-L3) and runoff (MIROC) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply ------
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ClimatechangeimpactonwaterdemandandsupplyLISTOFABBREVIATIONS
LIST OF ABBREVIATIONS
AARE
Absolute average relative error
AWBM
Australia water balance model
BAM
Before and after method
BH
Blackheath
BMWSS
Blue Mountains water supply system
CWDM
Climate water demand model
DIY
Do-it-yourself
EUM
Expected use method
EVP
Evaporation
FRWS
Fish river water scheme
GA
Genetic algorithm
GCM
Global climate model
IPCC
Intergovernmental panel for climate change
KT
Katoomba
LOO
Leave-one-out
MBIAS
Median of bias
MLR
Multiple linear regression
MMT
Monthly mean maximum temperature
MVN
Multivariate normal distribution
NARCliM
NSW/ACT regional climate modelling
NRD
Number of rain days
NSE
Nash-Sutcliffe efficiency
NSW
New South Wales
PBIAS
Percentage of bias
PC
Principal component
PCA
Principal component analysis
PDF
Probability density function
PS
Pattern search
PSMS
Pattern search multi start
PWDC
Per dwelling water consumption
RCM
Regional climate model
RF
Rainfall
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ClimatechangeimpactonwaterdemandandsupplyLISTOFABBREVIATIONS
RMSS
Rosenbrock multi start search
RRL
Rainfall-runoff library
RS
Rosenbrock search
SCE-EU
Shuffle complex evolution
SE
Solar exposure
SRES
Special report on emission scenarios
URS
Uniform random search
UWS
University of Western Sydney
WAM
Weighted average method
WCS
Water conservation savings
WP
Water price
WRS
Water restriction savings
YBDM
Yearly base difference method
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
CHAPTER 1
INTRODUCTION
1.1 Overview
This thesis focuses on the estimation of climate change impact on urban water
demand and water supply with associated uncertainties. Climate change impact on
water demand is estimated by developing a probabilistic long term water demand
forecasting model that allows consideration of the stochastic nature and the inter
correlation structure of the independent variables. Probabilistic water demand
forecasting model is developed by adopting a Monte Carlo simulation technique with
multivariate normal distribution. Then projections of future climate from a Global
Climate Model (GCM) under different emission scenarios are fed into the developed
water demand model to simulate future water demand scenarios. Climate change
impact on future catchment water yield (i.e. runoff) and their associated uncertainties
are estimated by coupling the GCM projections with the rainfall-runoff models. Four
different GCMs and two rainfall-runoff models are used to estimate future catchment
water yield scenarios. Then forecasted water demand and catchment water yield
scenarios are integrated to assess the performance of a water supply system under
climate change regime. This chapter of the thesis begins by presenting a background
to this study, need for this research, research questions, summary of the research
tasks, research contributions and an outline of the thesis.
1.2 Background
Climate change issue has been emerged as an increasing concern among the water
planners and managers around the globe as it is likely to change water management
tasks by altering the availability of fresh water resources and by changing the water
demand pattern. Rises in temperature and changes in rainfall patterns are expected to
occur in many parts of the world due to the potential changes in future climatic
conditions (IPCC 2007). These changes are likely to affect the water balance at local,
regional and global scales in a negative way at many regions, which would make
water supply a challenging task for many cities. Moreover, some other factors such
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
as increasing population, rise in water demand, rapid urbanization and water
pollution are likely to affect water availability at a given location in future.
Climate change is expected to have some impacts on urban water demand as water
demand varies with climate variables to some extent especially with temperature and
rainfall. Rainfall and temperature have influence on outdoor activities particularly
gardening. During the hot days and low rainfall periods, more water is required in the
gardens. Moreover, use of water in the swimming pool and for personal hygiene (e.g.
bathing) increases during the hotter periods. Influence of the climate variables,
especially influence of rainfall and temperature on water demand has been reported
by several studies (e.g. Babel et al. 2007, Gato et al. 2007, Corbella and Sauri Pujol
2009, Xiao-jun et al. 2013).
In Australian cities, water supply is more vulnerable to the changes in climatic
conditions as it is highly dependent on rainfall and storage capacity of surface water
reservoirs (ABS 2010, ABS 2012). However, rainfall in Australia is highly variable
(Sahin et al. 2013) and about 50 to 70% of the country are in the semi-arid and arid
regions where rainfall is very low (Zaman et al. 2012). During the recent droughts in
Australia (2003-2009), most of the major reservoirs were reached at a critical low
water level thereby making water supply at risk. Consequently, different levels of
water restrictions based on the severity of the drought conditions were imposed by
the water authorities in many Australian cities to limit residential water consumption
to deal with inadequate water supply (Queensland Water Commission 2010, Sydney
Water 2010).
Annual average temperature in Australia has increased by 0.90C from 1910 to 2011
(CSIRO 2012) which is higher than the global average increase of 0.70C for the same
period (Cleugh et al. 2011). Majority of this increment in temperature has occurred
since 1950’s with the highest increment in the eastern part of Australia by 20C and
lowest change in the northwest part by -0.40C (Head et al. 2014). Moreover, from
1957 numbers of hot days and nights have increased, and just opposite has been
observed for the number of cold days and nights (Nicholls and Collins 2006). In
addition, projection of temperature in Australia indicates that the annual average
temperature may go higher by approximately 10C by 2030 relative to 1990 with an
increment of about 0.7-0.90C in coastal and 1 - 1.20C in inland areas (CSIRO 2012).
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
By 2050 and 2070, the increment may go up to 2.20C and 50C, respectively, under
high emission scenarios (CSIRO 2012).
Rainfall in Australia generally shows significant variability from year to year
(Hennessy et al. 2008). Notable changes in rainfall have also been observed in
Australia since 1950’s, mainly in northwest Australia, southwest Western Australia,
southeast Australia and northeast Australia (Keenan and Cleugh 2011). Increase in
annual rainfall has been observed only in northwest region whereas southwest
Western Australia has experienced a steady decline in rainfall over the past 30 years,
and southeast and eastern parts of Australia have become drier since the mid 1990s
including a reduction in March-May rainfall by 61% (Murphy and Timbal 2008,
Cleugh et al. 2011). Moreover, annual average rainfall is expected to be altered by
around -10% to + 5% in northern areas and -10% to little change in southern areas by
2030, though a high level of uncertainty is present in the prediction results due to the
variation in the results of different GCMs (CSIRO 2012). Projected changes in the
rainfall are larger in the later part of the century.
These past changes and probable projections of the climatic conditions have raised a
concern about meeting the necessary requirements of water supply to the current and
future population of Australia. Therefore, impacts of the climate change on water
demand and water supply need to be identified in order to plan for appropriate
measures (e.g. expansion of existing water supply systems, sourcing new water
supply catchments, building desalination plants and managing water demand) to
supply water to the community with a desired level of security and satisfaction.
Impact of climate change on water demand can be estimated by forecasting long term
water demand adopting future plausible climatic scenarios. Long term water demand
can be forecasted by the deterministic and probabilistic models (Froukh 2001,
Almutaz et al. 2012). Deterministic models generally forecast single value of water
demand without considering the stochastic nature of the independent variables. As
water demand depends on different independent variables which are stochastic in
nature and are correlated among themselves such as population, household size,
income, water usage price, rainfall, temperature and conservation measures (Babel et
al. 2011, Qi and Chang 2011), the usefulness of deterministic models in forecasting
urban water demand may be limited. If the associated uncertainties in the
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
independent variables are ignored, the forecasted water demands may not be realistic
and adequate for efficient planning and management of water supply systems.
Therefore, uncertainties associated with the independent variables should be
explicitly incorporated into demand forecasting models to allow decision makers to
understand how uncertainties in the independent variables may affect the future
water demand.
Impact of climate change on catchment water yield is generally estimated through
the combination of climate and rainfall-runoff models. GCMs are extensively used to
generate future climate scenarios to be used in the climate change impact studies on
catchment water yield (Boé et al. 2007, Chen et al. 2007, Fowler et al. 2007). GCM
outputs are downscaled first to obtain the catchment scale/appropriate scale climate
projection data and then these downscaled climate projections are taken as input into
the rainfall-runoff models to estimate climate change impact on catchment runoff
(Chen et al. 2011). However, different types of uncertainties are associated with the
climate change impact studies due to choice of GCMs, greenhouse gas emission
scenarios, downscaling methods, rainfall-runoff model structures and rainfall-runoff
model parameters (Kay et al. 2009, Teutschbein et al. 2011). It has been recognised
by many studies (Graham et al. 2007, Jiang et al. 2007, Teutschbein and Seibert
2010) that uncertainties should be taken into account during the investigation of
climate change impact on water resources in order to produce reliable
estimates/forecasts.
Both water demand and catchment water yield are the two vital components in
estimating adequacy of a water supply system. Since these two components of a
water supply system are likely to be affected by changing climatic conditions in
future, it is essential to estimate climate change impact on them to get a reliable
estimate of the yield of a water supply system under changing climatic conditions.
Moreover, the acknowledgement and proper quantification of uncertainties in
catchment water yield as well as in water demand forecasting are crucial to facilitate
decision making by the policy makers to manage water resources effectively and to
ensure adequate water supply to the cities. Hence, this thesis is devoted to develop a
modelling framework to assess the impacts of climate change on both future water
demand and catchment water yield with associated uncertainties to evaluate the
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
performance of a water supply system under plausible future climate, water demand
and catchment water yield scenarios. It should be noted that rainwater harvesting has
been indirectly taken into account in the thesis by considering water saving associated
it. However, alternative water supplies such as groundwater and greywater recycling
have not been considered in this thesis in the catchment yield analysis, only the runoff
is considered as the source of reservoir water.
1.3 Need for this research
Water is an essential natural resource, which plays an important role in supporting
human life and ecological systems. Water is increasingly being viewed as a severely
stressed resource. This important resource is likely to be affected by climate change
conditions in a negative way at many locations (IPCC 2007, McFarlane et al. 2012)
which will have direct impact on the ability of a water supply system to ensure
adequate water supply to meet customer demands. Forecasting of long term water
demand and catchment water yield are the critical factors of a water supply system to
undertake adaptive management strategies to maintain a reliable supply of water to
the communities/cities. A number of research studies have been conducted to
forecast long term water demand (e.g. Babel et al 2007, Mohamed and Mualla 2010,
Polebitski et al. 2010). However, despite the emerging concern of climate change
issue, application of GCMs’ data (which is an important tool in climate change
impact studies and which provides future climatic scenarios under different
greenhouse gas emission conditions) in forecasting water demand is limited. As a
result, a knowledge gap exists in linking GCM projection with water demand
modelling in forecasting future water demand. Moreover, there is a lack of
knowledge on the estimation of uncertainty in the water demand forecasting by
accounting for the stochastic nature of the independent variables and their inter
correlation.
Quantification of uncertainties is an integral part in the climate change impact studies
on catchment water yield as different types of uncertainties are generally associated
with runoff projections. Several studies have investigated the different sources of
uncertainties (e.g. choice of GCMs, hydrological models and emission scenarios)
associated with the projected runoff in changing climatic regime (Kay et al. 2009,
Chen et al. 2011, Teutschbein et al. 2011). However, uncertainty due to many
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
realisations (arising from repetitive simulations for a given time step during
downscaling of the GCM data to a catchment scale) of a GCM has not been given
much attention in the literature. In addition, exploration of the performance of a
water supply system under combined effect of uncertain climate, water demand and
catchment water yield scenarios are limited.
1.4 Research questions
Based on the research need identified in Section 1.3, this thesis seeks to answer the
following research hypotheses/questions in relation to the assessment of climate
change impact on water demand and supply:

How can water restrictions on residential water consumption affect water
demand?

What are the most important independent variables affecting future
residential water demand and how the uncertainties associated with these
variables can be estimated?

How do the long term future water demand predictions vary due to inherent
uncertainties in the independent variables?

How can climate change affect the water demand in future?

How can the uncertainty in water balance model be ascertained for ungauged
catchments?

How is catchment water yield expected to be affected by changing climatic
conditions in future?

How can the uncertainty in water demand and yield under changing climatic
conditions affect the performance of a water supply system?
1.5 Summary of research undertaken in this thesis
This thesis investigates the impacts of climate change on future water demand by
using the climate projections from a GCM and uncertainties in demand projections
being estimated by developing a long term probabilistic water demand forecasting
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
model considering stochastic nature of the independent variables and correlation
structures. Moreover, realisation uncertainty is investigated along with other types of
uncertainties during the forecasting of catchment water yield using climate
projections from several GCMs. In addition future performance of a water supply
system is examined by adopting the projected water demand and catchment yield
scenarios along with their uncertainties.
The research tasks undertaken in this thesis to answer the research questions
presented in Section 1.4 are outlined below:

Select a urban water supply system (with adequate data in terms of quantity
and quality) from the state of New South Wales, Australia and collate
metered water consumption, water price, water savings, water restrictions,
rainfall,
temperature,
evaporation,
runoff
and
relevant
catchment
characteristics data for the proposed research.

Identify water savings due to the implementation of different levels of water
restrictions in a water supply system. Develop a long term water demand
forecasting model by (a) including climate variables and (b) adopting water
savings as a continuous independent variable.

Develop a probabilistic water demand forecasting model adopting Monte
Carlo Simulation technique assuming a multivariate normal distribution for
the independent variables to ascertain the degree of uncertainty associated
with the water demand projections due to the stochastic nature of the
independent variables.

Identify the relative influence of climate variables and other independent
variables on water demand in qualitative term. Estimate climate change
impact on future water demand by (a) forecasting water demand
incorporating future climatic scenarios from a GCM, and then (b) comparing
the projected water demand under different future climate conditions with
that of the selected reference period.
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Climate change impact on water demand and supply

CHAPTER 1: Introduction
Estimate calibrated parameters for water balance models for ungauged
catchments using a regionalisation technique and assess the uncertainties
associated with the calibration of a water balance model.

Forecast runoff under future climate conditions using data from several
GCMs and estimate uncertainties from different sources (i.e. GCM
uncertainty, realisation uncertainty, rainfall-runoff model uncertainty and
rainfall-runoff model parameter uncertainty) associated with the projected
runoff. Assess the performance of a water supply system under changing
climatic conditions using the projected water demand and water yield values
in the future periods.
The major outcomes of this research include a new modelling framework and a body
of scientific knowledge that can be applied by water supply authorities to enhance
the reliability and resilience of their water supply systems in future under changing
climate.
1.6 Contributions to knowledge
This research study has developed a modelling framework to investigate the climate
change impacts on future water demand and water supply with their associated
uncertainties. The major contributions made in this thesis to the knowledge are
summarised below:
1. A method has been proposed to quantify the water savings in an
effective way from the implementation of water restriction in a water
supply system.
2. The numerical representation of the water savings variables in the
water demand forecasting model has been formulated.
3. A probabilistic long term water demand forecasting model has been
developed to account for the stochastic nature of the independent
variables and the inter correlation structure of the variables.
4. The linking of GCMs projections with the water demand forecasting
model has been established.
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
5. A modelling framework has been developed to estimate the
uncertainties due to different types of uncertainties in the calibration of
the rainfall-runoff models and in forecasting runoff.
6. An integrated methodology has been developed and applied to
examine the performance of a water supply system under various
climate, water demand and runoff scenarios.
These methods along with the outcomes of the research would provide vital
knowledge about the possible climate change impact on future water demand and
runoff changes, and future performance of a water supply system for better planning
and management of a water supply system. This will also help to develop appropriate
adaptive strategies to supply necessary water to the communities. The methodologies
developed in this thesis can be adopted to other region and to other water supply
system in Australia and elsewhere in the world.
Figure 1.1 Illustration of the major research tasks undertaken in this thesis
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
1.7 Outline of the thesis
The research undertaken in this study is presented in this thesis consisting of nine
chapters and four appendices, as outlined below:
Chapter 1 presents a brief introduction to the proposed research, including the
background and need for this research. The research questions that are to be
investigated and the research tasks to be undertaken to answer the identified research
questions and the research contributions are also presented in this chapter.
Chapter 2 presents a literature review on water demand modelling and forecasting,
variables of water demand, water restrictions, climate change issue in water demand,
future climate scenarios, use of GCMs, downscaling methods, water balance models
and impact of climate change on catchment water yield and water supply systems.
Research studies on uncertainty estimation of water demand forecasting and
catchment yield are also reviewed. Furthermore, review of various regionalisation
methods to calibrate a water balance model for use in an ungauged catchment is
presented to select an appropriate method to be adopted in this study. At the end, this
chapter summarises the findings from the literature and identify gaps in the current
state of the knowledge on assessing the climate change impact on water demand and
supply, and formulate the research problems that are to be investigated in this thesis.
Chapter 3 presents the selection of study area and data. The chapter starts with
discussion of the selection of the study region, which is followed by a quantitative
summary of the data used in this thesis.
Chapter 4 presents the assessment of water savings for the implementation of water
restrictions in the residential sector. This chapter commences with presenting the
methodologies to quantify the water savings for different levels of imposed water
restriction. This is followed by the development of water demand forecasting models
adopting water savings as a continuous independent variable in the model along with
other water demand variables. The chapter then presents the comparison of the
developed models to select the reliable estimates of water savings.
Chapter 5 presents the quantification of uncertainties in water demand projection
due to stochastic nature of the independent variables. This chapter commences with
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Climate change impact on water demand and supply
CHAPTER 1: Introduction
presenting the methodology to forecast long term water demand adopting a Monte
Carlo simulation technique based on multivariate normal distribution. This is
followed by presenting the forecasted water demand results and the estimation of
uncertainty band in the projection of water demand.
Chapter 6 presents the principal component biplot technique to evaluate the relative
influence of independent variables qualitatively on water demand. Then it presents
the quantitative assessment of climate change impact on future water demand using
three future emission scenarios from a GCM. This chapter also presents the impact of
climate change on future water demand using three different hypothetical future
climate scenarios.
Chapter 7 presents the calibration and validation of two selected rainfall-runoff
models (i.e. AWBM and SIMHYD) which are needed to estimate catchment yield.
This covers the selection of proper rainfall time series data and rainfall factor, proper
calibration and validation data length, and effective optimisation technique to obtain
reliable calibrated parameter sets of the models to be used in ungauged catchment
situations. This chapter also presents the estimation of uncertainty in the calibration
of a rainfall-runoff model.
Chapter 8 presents the forecasting of catchment yield under future climate
conditions. This chapter commences with the estimation of future catchment yield
incorporating the data from several GCMs using the two selected rainfall-runoff
models. This is followed by quantifying the uncertainties in the projection of water
yield. Afterwards, the chapter presents the assessment of a water supply system using
the forecasted water demand and water yield scenarios in the future changing climate
regime.
Chapter 9 presents the summary and conclusions of the research undertaken in this
thesis, and provides recommendations for further research.
Appendix A presents some additional tables and figures from Chapter 4.
Appendix B presents some additional tables and figures from Chapter 5.
Appendix C presents some additional tables and figures from Chapter 7.
Appendix D presents some additional tables and figures from Chapter 8.
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CHAPTER 2
REVIEW OF CLIMATE CHANGE IMPACT
ANALYSIS ON WATER DEMAND AND YIELD
ESTIMATION IN URBAN WATER SUPPLY
SYSTEMS
2.1 Overview
Chapter 1 has presented the background, motivation of the research, the research
questions to be investigated, the research contributions and outline of the thesis. This
chapter provides a review of the issues relevant to climate change impact analysis on
urban water demand, catchment water yield and water supply systems. It also
summarise the knowledge gaps in the existing literature. In the first part, this chapter
provides a review of the studies related to the linkage of climate variables and
climate change with urban water demand, impact of water restrictions on urban water
demand and forecasting of long term urban water demand. In the second part, this
provides a review of the uncertainties associated with the climate change impact
analysis on future runoff estimates and the uncertainties associated with the
calibration of a rainfall-runoff model. In the third part, this discusses the issues
relevant to the reliability assessment of a water supply system considering
uncertainties associated with both the water demand and yield in the context of
changing climate. Finally, this chapter concludes by summarising the knowledge
gaps in the existing literature and how this thesis can contribute to fill these gaps.
2.2 Climate change issues relevant to water security
In a research on water security in global perspective, it has been reported that 80% of
world’s population is in vulnerable conditions in regards to receiving necessary water
for their use and survival (Vörösmarty et al. 2010). Over extraction of groundwater,
inadequate flow in the major river systems, increase in water demand due to growing
population and rapid urbanisation, water pollution and economic development are
placing unsustainable demands on fresh water resources at many locations (Postel
2000, Vörösmarty et al. 2000, Güneralp and Seto 2008, Beck and Bernauer 2011).
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Moreover, changing climate conditions are likely to exacerbate the existing pressures
on water supplies and would exert increased impacts on water resources around the
globe in negative ways (Bates et al. 2008, House-Peters and Chang 2011, Xiao-jun et
al. 2013).
The limited availability of fresh water resources for many urban cities around the
world has become a crucial concern in recent years. Fourth assessment report of the
Intergovernmental Panel for Climate Change (IPCC) states that alteration of water
resources are happening around the world due to changing climate (Rosenzweig et al.
2007). Though a range of sectors are likely to be affected by water shortages
including industry and agriculture, predictions by the IPCC has suggested that water
demand and supply in residential sector would need more attention in the changing
climate conditions (Bates et al. 2008). It has been predicted by several studies that
frequency and severity of drought events are likely to be increased in future as a
result of climate change (Gergis and Fowler 2009). Consequently, availability of
water resources are expected to be declined more and demand for water is expected
to be higher in future. Hence, a sound understanding and quantification of the
impacts of climate change on urban water demand and supply are critical in order to
maximize the efficiency of urban water demand management and to ensure adequate
water supplies to the cities in future.
2.3. Linkage of climate change/variables with urban water demand
Climate change is expected to have impacts on water demand as it is generally
influenced by the climate variables such as temperature and rainfall. Rainfalls are
likely to have an effect on water demand in outdoor activities, particularly watering
garden. In an urban environment, rainfall regime determines how much and when
water is required to the plants and lawns that have to be met by the supply water
(Corbella and Sauri Pujol 2009). Temperature has also some effects on water
demand; the rational is that during hot days more water is required in gardens, in
swimming pools and for personal hygiene.
Influence of the climate variables on water demand has been reported by a number of
studies in different parts of the world. For example, Babel et al. (2007) found that
rainfall was one of the significant demand variables to predict domestic water
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demand in Kathmandu, Nepal. They demonstrated that 10% increase in rainfall
would lead to reduction of water use by about 2.1%. However, they reported that
temperature had no effect on water demand in Kathmandu, Nepal. Gato et al. (2007)
found that temperature and rainfall had a statistically significant correlation with
residential water usage in Melbourne, Australia. In a review of the significant
variables influencing domestic water demand, Corbella and Sauri Pujol (2009) found
that climate variables (i.e. temperature and rainfall) were among the major drivers of
domestic water demand.
Praskievicz and Chang (2009) analysed the water consumption data with some
climate variables, temperature, daylight length, precipitation, wind speed, relative
humidity, and identified the variables that play a significant role in determining water
consumption in Seoul, South Korea. In a study in identifying the determinants of
residential water demand in Germany, Schleich and Hillenbrand (2009) found that
rainfall had an effect on water consumption while temperature had no impact. In
Bangkok, Thailand, Babel et al. (2011) demonstrated that climate variables
(temperature, rainfall and relative humidity) had influence on medium term water
demand (6 months lead time).
The results of these studies indicate that climate change may have impacts on future
water demand as climate change will affect climate variables such as temperature
and rainfall which influence water demand. Hence, climate change has important
implications for management of urban water resources under potential future climate
change conditions. These results also highlight the necessity of identifying the
impacts of climate change on future water demand to ensure water security in the
future.
2.4 Climate change analysis/studies on future water demand
Impact of climate change on future water demand can be identified in a number of
steps: (i) develop water demand forecasting model based on the climate variables
along with other influential water demand variables, (ii) input the future climate
scenarios/probable future values of the climate variables to the developed forecasting
model and (iii) compare the predicted future water demand with that of the selected
reference period. Hence, incorporation of probable future climate scenarios is an
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integral part to identify the impacts of climate change on future water demand.
Projections of future climate conditions can be made by using hypothetical scenarios
(e.g. assume a reasonable change in the future climate conditions, for example
assume an increase of 10C in temperature and 10% decrease in rainfall amount in
future time from the reference period). Another way of getting the future projections
of climate scenarios is to use the climate prediction from global climate models
(GCMs). GCMs are generally considered to be the most effective and reasonable tool
to get the estimate of future climate scenarios and they are extensively used in
estimating the impacts of climate change on future runoff/streamflow conditions
(IPCC 2007, van Roosmalen et al. 2010, Andersson et al. 2011, Bastola et al. 2011).
Very few studies (e.g. Babel et al. 2007, Khatri and Vairavamoorthy 2009) are
available in the scientific literature that include future climate scenarios in the water
demand forecasting model and identify the impacts of climate change on future water
demand. In addition, incorporation of future climate scenarios using GCMs is quite
limited in forecasting urban water demand. Hence, there is a gap in knowledge in
regards to the use of future climate variables in forecasting future water demand
based on GCM output and to identify the impacts of potential climate change
conditions on the future water demand. Babel et al. (2007) included rainfall
(mm/year) variable in their water demand forecasting model along with other three
different water demand variables and forecasted water demand up to the year, 2015.
However, future value of annual rainfall amount was taken to be a single value based
on the historical data (i.e. 1475 mm/year) and assumed to be constant during the
forecasting period in their study. Khatri and Vairavamoorthy (2009) used
precipitation and temperature data from the HadRM3 global climate model with four
different emission scenarios (Low, Medium-Low, Medium-High, and High) to assess
the sensitivity of the climate variables on future water demand. However, they could
not identify and assess the impact of climate change on future water demand due to
inadequate data.
2.5 Impact of water restrictions on urban water demand
Water supply to large metropolitan cities has emerged as a challenge due to global
climate change, and ever increasing water demand and size of the cities. Water
shortage has become a common problem in many urban water supply schemes.
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Moreover, rapid population growth, economic expansion and changing climatic
conditions have increased water demands in some urban areas beyond the capacity of
local water supplies. Historically, urban water management strategies have relied on
supply-side management, which increases the availability of water through the
implementation of various expensive and engineering measures such as construction
of new dams and desalination plants, expansion of existing water supply systems and
sourcing new water supply catchments (Marvin et al. 1999, Galán et al. 2009).
However, these options have some notable limitations such as high cost and wider
environmental impacts. Moreover, sourcing of new water supply catchments may not
be possible in many cases. In an effort to ensure water security in the urban areas,
demand side management has emerged as an important strategy in recent years to
bring a stressed water supply system into balance condition and as a complement of
more traditional water supply side management (Arbués et al. 2003, Brooks 2006,
Jeffrey and Gearey 2006).
In urban water supply, residential water consumption is the major component of the
total water demand (Wong et al. 2010). Hence, reduction in residential consumption
is viewed as an important means to reduce the total water demand (Suero et al. 2012,
Cahill and Lund 2013) and thereby to manage the shortages in water supply. The
water demand management strategies that assist to reduce residential demand
generally include implementation of water restrictions, incentive schemes, setting of
water pricing policies and promoting water-efficient appliances. Since these
programs have the potential to play an important role in reducing the vulnerability of
fresh water supplies, their effectiveness in saving water are required to be evaluated
to make an effective and efficient water demand management plan.
Some water authorities rely on water restrictions to manage shortages in water
supply during the periods of droughts (Kanta and Zechman 2014). For examples, due
to recent prolonged droughts in Brisbane, Melbourne and Sydney, the three major
cities in Australia, water authorities imposed water restrictions of varying severity to
their customers to reduce water demand as the dam water storage levels dropped
quite low (Queensland Water Commission 2010, Sydney Water 2010). Cooper et al.
(2011) also mentioned that water restrictions remain the dominant demand
management strategy to reduce urban water demand during drought periods in most
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urban cities across Australia. Some studies such as Brennan et al. (2007) and
MacDonald et al. (2010) stated that due to the changing climate condition, which
may result in increased frequency of droughts and associated water scarcity, water
restrictions may become more frequent in the different parts of the world in future.
Given the importance of water restrictions as a policy mechanism to restrict urban
water consumption, quantification of water savings from water restrictions is
necessary to evaluate the effectiveness of these programs. These water restrictions
normally target outdoor residential water use and can be imposed in several forms.
They are typically implemented by specifying the time of day for garden watering,
the maximum length of the watering period and allowances for hand watering
(MacDonald et al. 2010). Moreover, prohibition for using hoses to wash paved areas,
limits on car washing and filling or refilling swimming pools are some of the
common forms of these restrictions. For example, hosing of lawns and gardens were
not permitted in any time during the Level 2 water restrictions in Sydney. Only handheld hosing was permitted before 10 am and after 4 pm on Wednesdays, Fridays and
Sundays. The severity and timing of water restrictions are largely determined based
on the dam storage levels. For example, in Sydney, Level 1, Level 2 and Level 3
water restrictions (Table 2.1) were imposed when the dam levels dropped below
55%, 50% and 40%, respectively (Spaninks 2010, Sydney Water 2014). Level 1 and
Level 3 were the most liberal and most stringent water restrictions, respectively, in
terms of imposing the restriction rules.
Despite the fact that water authorities adopt water restrictions to manage urban water
demand during drought periods, limited number of studies exist in the literature that
systematically quantify the water savings derived from the imposed water
restrictions. Such studies include Anderson et al. (1980), Moncur (1987), Shaw and
Maidment (1988), Shaw et al. (1992), Renwick and Archibald (1998), Michelsen et
al. (1999), Renwick and Green (2000), Kenney et al. (2004), Jacobs et al. (2007) and
Kenney et al. (2008). Most of these studies, such as Anderson et al. (1980), Moncur
(1987), Renwick and Archibald (1998), Michelsen et al. (1999), Renwick and Green
(2000) and Kenney et al. (2008) used a binary variable to represent the water
restrictions in their water demand models. The value of binary variable was
considered as 1 (one) when the water restrictions were taken in place, otherwise its
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value was considered zero in the models. The estimated coefficients of the binary
variables were used to anticipate the water savings due to water restrictions. For
example, Anderson et al. (1980) estimated that the drop in water use in the City of
Fort Collins, Colorado could be 26. 38 million litres per day (6.97 million gallons/
day) due to water restrictions as they found -6.97 as a coefficient value of the binary
variable in their multiple linear regression model. Kenney et al. (2008) found that
water restrictions could reduce water demand by 31% in Aurora, Colorado, as they
found -0.31 as the coefficient of the binary variable for water restrictions in their
Log-Log multiple regression model.
Kenney et al. (2004) estimated water savings in the several cities in Colorado due to
the water restrictions in the summer of 2002 by two approaches. In the first
approach, water savings were calculated by ‘Before and After Method’ (BAM)
which compared daily water usage during the drought periods (May to August 2002)
to the average daily usage over the same months (years 2000 to 2001). In the second
approach, which can be termed as ‘Expected Use Method’ (EUM), daily water use
during the drought periods was compared to an estimate of the water use that would
have occurred in the absence of any restrictions. However, their study period was
relatively short (only four months). Jacobs et al. (2007) investigated the water
savings in Cape Town from the water restrictions by the similar approach as of
Kenney et al. (2004). Water savings were calculated by comparing meter readings of
the summer periods of 1 October 2004 to 1 April 2005 with the period of 1 October
2003 to 1 April 2004. However, in this study the data period was also relatively short
(i.e. six months).
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Table 2.1 Levels, scope and timing of water restrictions imposed in Sydney
during the drought periods (2003-2009)
Restriction rules
Restriction rules
belonging to
restrictions levels
Introduction
date
I. No hosing of hard surfaces and
vehicles.
Level 1 (I +II)
1-Oct-03
II. No use of sprinklers or other watering
systems.
Level 2 (I + II + III +
IV)
1-Jun-04
III. No hosing of lawns and gardens,
only hand-held hosing was allowed for
three days in a week (before 10 am and
after 4 pm on Wednesdays, Fridays and
Sundays).
Level 3
(I + II + III + IV + V
+VI)
1-Jun-05
IV. No filling of new or renovated pools
over 10,000 L except with a permit from
Sydney Water.
V. No hosing of lawns and gardens, only
hand-held hosing was allowed for two
days in a week (before 10 am and after 4
pm on Wednesdays and Sundays).
VI. Fire hoses are allowed only for
firefighting purpose and not for cleaning.
2.6 Urban water demand forecasting
Water is generally considered to be the most vital resource in any urban development
program (Nasseri et al. 2011). Most of the decisions in urban planning and
development programs are highly dependent on the availability of water resources
and the forecasting of future water demand. Moreover, estimation of future water
demand is vital to the planning of water supply systems as it allows the water
authorities to know the demand for long term periods in the future to develop new
water sources and to extend the capacity of the existing systems. One of the main
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purposes of urban water demand forecasting is to supply necessary water to the
communities corresponding to the demand and to keep the balance between supply
and demand (Zhou et al. 2002). Accurate projection of future water demand plays an
important role in optimum utilization of available water resources and in efficient
allocation of water between competing users. In addition, as 25-30% of total
operating costs is generally incurred from energy use, forecasting of water demand
can help to optimise energy use, which is beneficial to both the environmental and
economic sectors (Ghiassi et al. 2008, Herrera et al. 2010). Thus forecasting of water
demand plays a crucial role in socially, economically and environmentally
sustainable water resources planning and management.
2.6.1 Temporal scales/types of urban water demand forecasting
Three types of temporal resolution of urban water demand forecasting are generally
found in the literature based on their uses and differing modelling techniques.
(a) Short term forecasting: Prediction resolution of this forecasting type
generally varies from 1 day to several weeks (Billings and Agthe 1998,
Gato et al. 2007, Ghiassi et al. 2008). Short term prediction of water
demand is generally required for operation and management of existing
water supply systems within a specified time period (Qi and Chang
2011).
(b) Medium term forecasting: Monthly forecast of water demand with up to
one year lead time are generally considered as medium term forecasting
(Maidment and Parzen 1984, Nasseri et al. 2011), which is required for
planning improvements to distribution and water supply systems and
implementing technological changes.
(c) Long term forecasting: The prediciton resolution of this type of
forecasting is usually greater than one year, mostly annual and decadal
(Tiwari and Adamowski 2013). Long term projection of water demand is
mainly required for the development, planning and design of water
supply systems and infrastructures (Jain and Ormsbee 2002, Ghiassi et
al. 2008, Firat et al. 2009, Herrera et al. 2010).
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2.6.2 Deterministic vs. probabilistic water demand forecasting
Long term adequacy of water supply is needed in order to ensure water requirements
for the current and future population with the desired level of satisfaction, which is a
major national concern in many countries. Hence, it is necessary to determine the
current water demand and future water demand in order to assess the future adequacy
of water supplies. In order to do this, suitable tools are needed to estimate the future
water demands and to assess the effects of future climate and other factors on both
water demand and water availability. Long term water demand can be forecasted by
the deterministic and probabilistic models (Froukh 2001, Almutaz et al. 2012).
Deterministic models generally forecast single value of water demand without
considering the stochastic nature of the independent variables. As water demand
depends on different independent variables which are stochastic in nature and are
correlated among themselves such as population, household size, income, water
usage price, climate conditions and conservation measures (Babel et al. 2011, Qi and
Chang 2011), the usefulness of deterministic models in forecasting urban water
demand may be limited. If the associated uncertainties in the independent variables
are ignored, the forecasted water demands may not be realistic and adequate for
efficient planning and management of water supply systems, as decisions based on
deterministic (single-point) forecasts do not accommodate possible variations in
demand. Therefore, uncertainties associated with the independent variables should be
explicitly incorporated into demand forecasting models to allow decision makers to
understand how uncertainties in the independent variables may affect the future
water demand. Incorporation of such uncertainties can be achieved by developing a
probabilistic water demand forecast model using a Monte Carlo simulation.
Another important aspect of water demand forecasting is to account for the
correlations among the independent variables as the independent variables are often
correlated. In the literature, most of the long term water demand forecasting studies
estimated future water demand by a deterministic approach (e.g. Babel et al. 2007,
Mohamed and Mualla 2010). On the contrary, there has been a limited research on
the probabilistic forecast of long term urban water demand. Examples include studies
by Khatri and Vairavamoorthy (2009), and Almutaz et al. (2012) who adopted a
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probabilistic forecasting method; however, the correlations among the independent
variables were not accounted for.
2.7 Climate change impact on water resources
Water supply has emerged as a major issue in many counties in the world due to
factors such as increasing population, rapid urbanisation and water pollution. This
problem is intensified in many regions that are experiencing rapid changes in climate
conditions (e.g. increase in temperature, decrease in rainfall, and frequent droughts
and floods) (Parajuli 2010). For example, south-western Australia has experienced an
increase in temperature of about 10C through the 20th Century and there has seen a
reduction in rainfall by 16% since the mid 1970s, resulting in a reduction of about
50% in streamflow into major reservoirs (McFarlane et al. 2012, Silberstein et al.
2012). Moreover, the IPCC stated that changes in climate conditions would have
noticeable impacts, mostly negative, on water resources due to plausible changes in
precipitation, temperatures and evaporation in the future (IPCC 2007).
Projections of changes in the water resources conditions (mainly runoff which is a
measure of catchment yield) due to plausible climate change conditions have been
reported for many countries around the world. For example, in the western USA,
Thomson et al. (2005) demonstrated that water yield would reduce by around 50%
under changing climate conditions where there are already shortages in the water
supply. In southeast Australia, Chiew et al. (2009) projected that mean annual runoff
would be changed by -17% to +7% resulting from a global warming of 0.90C. In
southern Italy, D’Agostino et al. (2010) projected a 16-23% reduction in streamflow
by 2050 resulting from a reduction in rainfall of about 5–10%. In North-Algeria
Jean-Pierre et al. (2010) demonstrated that 40% reduction in surface water resources
would be possible if rainfall would reduce by 15%. In the Mono Lake basin, western
United States, Ficklin et al. (2013) found that annual streamflow would be reduced
by 15% by the end of 21st century (2070 – 2099), compared to average historical
value (1950 – 1992).
In recent years, extreme events such as droughts and floods are occurring frequently
worldwide. A small change in precipitation and temperature may lead to higher
percentage change in runoff in arid and semiarid regions (Gan 2000). Changes in the
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available water resources conditions challenge water authorities to look for new
water sources (e.g. sourcing new catchments and building desalination plants) and
alternatives (e.g. water restrictions and water re-use) to meet increasing water
demand. That is why, understanding of potential impacts of climate change on
runoff/catchment water yield is crucial to deal with the effects of climate change. It
will also help water managers to make more coherent decisions on water allocation
and management. It is, therefore, important to formulate a new vision for the future
water resources in a given catchment based on the investigation of climate change
impacts on water resources availability.
2.7.1 Uncertainties in climate change impact analysis on catchment yield
Impact analysis of climate change on future catchment yield generally involves use
of different tools such as hydrological and global climate models in a number of
steps as outlined below:

Step 1: Calibration and validation of hydrological models using the
historical
climate and observed runoff data to obtain the calibrated
model parameter set.

Step 2: Generation of future climate scenarios using the global climate
models (GCMs) and downscaling the climate scenarios to the
regional/catchment scale using different downscaling techniques.

Step 3: Estimation of future runoff quantity adopting the future climate
scenarios and using the calibrated model parameter set.

Step 4: Comparison of the future runoff estimates with the observed
runoff in the adopted reference period to estimate the changes in the
future runoff conditions.
During the process of estimating the climate change impact on future runoff,
different types of uncertainties are associated with the climate change impact studies
due to choice of GCMs, greenhouse gas emission scenarios, downscaling methods
and hydrological models (Kay et al. 2009, Chen et al. 2011, Teutschbein et al. 2011).
It has been recognised by many studies (Graham et al. 2007, Jiang et al. 2007,
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Teutschbein and Seibert 2010) that uncertainties should be taken into account in the
investigation of climate change impact on water resources in order to produce
reliable estimates. Therefore, acknowledgement and proper quantification of
uncertainties are crucial to facilitate decision making by policy makers. Brief
descriptions of different types of uncertainties are provided in the following section.
2.7.1.1 Uncertainty due to GCM
Global climate models (GCMs) have come to the light as the vital tool for estimating
future responses to changes in atmospheric composition and land-surface properties
(Gober et al. 2010). Usually GCMs are used to estimate
global warming by
predicting the impact of amplified CO2 concentration on climate variables (Yu et al.
2002). GCMs, a type of numerical model, are used in long-term climate change
experiments, which represent various earth systems including the atmosphere,
oceans, land surface and sea-ice. To assess the impacts of future climate change,
outputs from GCMs are the primary source of information (IPCC 2007, Chiew et al.
2009). Randall et al. (2007) described the confidence in GCM estimates from
different points of view, such as fundamental of the models which are based on
established physical principles, ability of climate models to simulate important
aspects of the current climate and ability of models to reproduce features of past
climates and climate change. Many modelling advances have been accomplished
over the past several years to the GCMs and the development programs are
continuing to improve the predictions of the GCMs.
Twenty three GCMs are available globally to predict the climate change scenarios
using a three dimensional grid over the globe (Randall et al. 2007). Model ID along
with the calendar year (‘vintage’) of the first publication of results from each model,
the respective sponsoring institutions and the horizontal resolution of the models are
presented in Table 2.2. As the models continue to develop and their resolution
continues to improve, they are representing more physical and biophysical processes
and interactions which are important for climate change, and thus they are becoming
increasingly useful for investigating important climate features. However, despite
their popularity and prevalent use in the climate change impact studies, choice of
GCMs is considered to be one of the major source of uncertainty as the results
predicted by different GCMs are quite different and they vary widely in their
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projections especially for precipitation (Wilby et al. 2006, Graham et al. 2007,
Exbrayat et al. 2014). The uncertainty in GCMs’ projections normally comes from
their course spatial resolution, model structure and parameterization, and the way
GCMs respond to changes in atmospheric forcing.
Table 2.2 List of Global Climate Models (GCMs), (Randall et al. 2007)
SN Model
Vintage Sponsor(s), Country
Horizontal
Resolution
(~km)
210×210
1
BCC-CM1, 2005
2005
Beijing Climate Center, China
2
BCCR-BCM2.0
2005
Bjerknes Centre for Climate
Research, Norway
210×210
3
CCSM3
2005
National Center for Atmospheric
Research, USA
155×155
4
CCCMA-CGCM3.1 (T47)
2005
Canadian Centre for Climate
Modelling and Analysis, Canada
310×310
5
CCCMA-CGCM3.1 (T63)
2005
6
CNRM-CM3
2004
7
CSIRO-MK3.0
2001
8
ECHAM5/MPI-OM
2005
9
ECHO-G
1999
10
FGOALS-g1.0
2004
11
GFDL-CM2.0
2005
University of Western Sydney
Canadian Centre for Climate
Modelling and Analysis, Canada
Météo-France/Centre National de
Recherches Météorologiques,
France
Commonwealth Scientific and
Industrial Research Organisation
(CSIRO) Atmospheric Research,
Australia
Max Planck Institute for
Meteorology, Germany
Meteorological Institute of the
University of Bonn,
Meteorological Research,
Institute of the Korea,
Meteorological Administration
(KMA), and Model and Data
Group, Germany/Korea
National Key Laboratory of
Numerical Modeling for
Atmospheric Sciences and
Geophysical Fluid Dynamics
(LASG)/Institute of Atmospheric
Physics, China
U.S. Department of
Commerce/National Oceanic and
Atmospheric Administration
(NOAA)/Geophysical Fluid
Dynamics Laboratory (GFDL),
USA
210×210
210×210
210×210
210×210
430×430
310×310
220×275
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Table 2.2 Global Climate Models (GCMs) (continued)
SN Model
Vintage Sponsor(s), Country
Horizontal
Resolution
(~km)
12
GFDL-CM2.1
2005
U.S. Department of Commerce/National
Oceanic and Atmospheric
Administration (NOAA)/Geophysical
Fluid Dynamics Laboratory (GFDL),
USA
13
GISS-AOM
2004
National Aeronautics and Space
Administration (NASA)/Goddard
Institute for Space Studies (GISS), USA
330×440
National Aeronautics and Space
Administration (NASA)/Goddard
Institute for Space Studies (GISS), USA
440×550
14
GISS-EH
2004
15
GISS-ER
2004
16
INM-CM3.0
2004
17
IPSL-CM4
2005
18
MIROC3.2(hires)
NASA/GISS, USA
Institute for Numerical Mathematics,
Russia
Institut Pierre Simon Laplace, France
220×275
440×550
440×550
275×410
2004
Center for Climate System Research
(University of Tokyo), National Institute
for Environmental Studies, and Frontier
Research Center for Global Change
(JAMSTEC), Japan
110×110
310×310
19
MIROC3.2(medres)
2004
Center for Climate System Research
(University of Tokyo), National Institute
for Environmental Studies, and Frontier
Research Center for Global Change
(JAMSTEC), Japan
20
MRI-CGCM2.3.2
2003
Meteorological Research Institute, Japan
310×310
21
PCM
1998
National Center for Atmospheric
Research, USA
310×310
22
UKMO-HadCM3
1997
Hadley Centre for Climate Prediction
and Research/Met. Office, UK
275×410
23
UKMO-HadGEM1
2004
Hadley Centre for Climate Prediction
and Research/Met. Office, UK
140×210
Several studies have investigated the uncertainty due to the choice of GCMs in the
climate change impact studies on water resources. Wilby et al. (2006) investigated
the climate change impact in the River Kennet, UK using three different GCMs
(HadCM3, CGCM2, and CSIRO Mk2) and found large variations in the projected
future river flows driven by these GCMs. Prudhomme and Davies (2009) used the
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same GCMs as Wilby et al. (2006) to investigate the uncertainties in the river flows
in four British catchments’ and concluded that GCMs were the main contributors to
monthly mean flow uncertainty among others. GCMs uncertainty was found to be the
most dominant uncertainty among the other sources of uncertainty in climate change
impact analysis by several recent studies (e.g. Kay et al. 2009, Chen et al. 2011,
Gosling et al. 2011). In an investigation on climate change impact on runoff across
southeast Australia by 15 different GCMs, Teng et al. (2012) found that 28 to 35%
variation in the future runoff estimates occurred due to the use of these different
GCMs.
2.7.1.2 Downscaling uncertainty
Many climate change impact studies require future climate information at scales of
50 km or less. To achieve this, appropriate techniques for downscaling GCM data to
smaller-scale are needed, which then can be used to predict the climate conditions of
the locality of interest. Due to the spatial resolution limitation of the GCMs, many
downscaling methods have been developed to study regional and local-scale climate
change. Two principal approaches for the downscaling of large-scale GCM output to
a finer spatial resolution are:
(a) Dynamical downscaling
(b) Statistical downscaling
The dynamical downscaling approach uses RCMs (Regional Climate Models) where
a higher resolution climate model embedded within a GCM. Statistical downscaling
approaches use statistical methods to establish empirical relationships between
GCM-resolution and local climate variables (Fowler et al. 2007). Several techniques
have been developed for statistical downscaling (i.e. linear regression, weather types,
and stochastic weather generators). These downscaling approaches can be applied in
different ways as illustrated in Figure 2.1.
A source of uncertainty is associated with the choice of the downscaling methods by
which global scale climate output are transferred to regional scale climate outputs.
Uncertainty associated with the different downscaling methods has been reported by
several studies. In an assessment of climate change impacts on alpine discharge
regimes, Horton et al. (2006) used climate projections from 19 RCMs driven by three
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different GCMs and concluded that downscaling uncertainty could be comparable to
the GCM uncertainty. In a comparative study on modelled future runoff in eight
Australian catchments using five different downscaling methods, Chiew et al. (2010)
demonstrated that differences in the modelled runoff could be significant owing to
different downscaling methods. In a hydrological impact study in response to climate
change in Denmark, van Roosmalen et al. (2010) investigated the variability in the
modelled results using different dynamical downscaling models and found notable
uncertainty in the modelling results due to the climate outputs from different
downscaling models. Several recent studies also reported the same that downscaling
uncertainty could be as high as that of the GCMs in climate change analysis on
runoff estimates (Chen et al. 2011, Teutschbein et al. 2011).
Global Climate Models
(GCMs)
Statistical Downscaling
Change Factors
Regression Methods
Weather Classification
Stochastic Weather
Generators
Dynamical Downscaling
Regional Climate Models
(RCMs)
Climate Outputs
Figure 2.1 Different pathways of downscaling of GCM outputs (Fowler et al.
2007)
2.7.1.3 Emission scenario uncertainty
The IPCC has developed a set of long term greenhouse gas emission scenarios, and
the Special Report on Emission Scenarios (SRES), to predict changes in future
climate conditions. Based on the possible future development and growth in
demographic, economic and technological sectors (Table 2.3), four sets of scenario
storylines, namely A1, A2, B1 and B2 were generated (Parry et al. 2004, Chowdhury
and Al-Zahrani 2013 ). The scenarios are ordered as A1 > A2 > B2 > B1 based on
the levels of CO2 emissions in the atmosphere where A1 represent the maximum
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(2189 GtC in 2100) and B1 represent the minimum (983 GtC in 2100) levels of CO2
emissions, respectively. The B2 and A2 scenarios are generally considered to be the
most likely scenarios in the future by the IPCC models as these can indicate the
reasonable lower and upper limits of CO2 emission in the atmosphere (1164 - 1938
GtC in 2100) (Nakićenović et al. 2000). Based on the technological use, the A1
scenario has been divided into three more subdivision, A1F1 (fossil intensive), A1T
(non-fossil intensive) and A1B (balance across all sectors). Under these different
emission scenarios future global temperatures are expected to increase in between
10C and 50C in 2100 in comparison to the temperature of the year 1990 (Arnell
2004).
Due to the differences in the projection of future emission scenarios, greenhouse gas
emission scenarios are considered to be another source of uncertainty in climate
change impact studies. However, the effects of this kind of uncertainty in the
estimated results were found to be much smaller than that of GCM and downscaling
methods by several studies. Wilby and Harris (2006) found that uncertainty owing to
emission scenarios contributed least amount in the total uncertainty and they
suggested that uncertainty might be ranked in the decreasing order as follows: GCMs
> downscaling methods > hydrological model structure > hydrological model
parameters > emission scenario. Prudhomme and Davies (2009) used two emission
scenarios (A2 and B2) in their studies and demonstrated that uncertainty owing to
emission scenarios was smaller than that of GCMs. Chen et al. (2011) also found that
uncertainty owing to emission scenarios was less than that of GCM and downscaling
methods.
2.7.1.4 Realisation uncertainty
Besides the uncertainty owing to the choice of different GCMs in climate change
impact studies, another source of uncertainty can affect the estimated results, which
is due to the variability within a GCM output. The variability in the outputs from a
single GCM (within-GCM) can be occurred due to multiple runs of that GCM under
a emission scenario that produce slightly different but equally plausible outcome
from each run. This kind of uncertainty can be called as realisation uncertainty since
the climate projects (e.g. NARCliM 2014 (Evans et al. 2014)) generally name the
different outputs of a GCM as ‘realisation’. Despite the importance of this type of
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uncertainty as highlighted by several studies (Tebaldi and Knutti 2007, Hawkins and
Sutton 2011, Deser et al. 2012) in climate change impact assessment, very little
attention has been given to quantify this uncertainty in future runoff estimates. One
recent study (Peel et al. 2014) has investigated the impact of this type of uncertainty
on future runoff estimates under changing climate conditions and found that withinGCM uncertainty can affect the estimated results by about 10% around the mean
value.
Table 2.3 Future growth patterns of population, economy and technology owing
to four sets of scenario storylines (A1, A2, B1 and B2) (Nakićenović et al. 2000)
Criteria
A1
A2
B1
B2
Population growth
low
high
low
medium
Economic growth
very high
medium
high
medium
Energy use
very high
high
high
medium
rapid
slow
medium
medium
low
varied by
region
high
high
global
local/regional
global
local/regional
Rate of changes in
technology
Environmental
awareness
Scale
2.7.1.5 Hydrological model uncertainty
Hydrological/rainfall-runoff models are an important tool to assess the impacts of
future climate change scenarios on water resources by which future runoff and
climate change impact can be estimated through inputting the future climate
scenarios into the hydrological models. A number of hydrological models are
available and have been used in climate change impact studies. However, uncertainty
owing to the choice of hydrological models can put some uncertainty in the climate
change impact assessment on runoff estimates as different models have different
inherent assumptions and they vary in their parameters.
Uncertainty owing to the choice of hydrological models has been reported by several
studies and they found that potential uncertainty would present in the future runoff
estimates. For example, Jiang et al. (2007) compared the hydrological impacts of
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climate change simulated by six hydrological models in the Dongjiang Basin, South
China and found large differences in the model results. Two recent studies, Gosling
et al. (2011) and Haddeland et al. (2011) demonstrated that differences in results
obtained by different hydrological models could be substantial for the same GCM
data and that the choice of hydrological models could be a major contributor to
uncertainly. Hagemann et al. (2013) compared eight hydrological models to assess
the hydrological response due to climate change and demonstrated that uncertainties
linked to hydrological models could be comparable to the GCMs uncertainty in many
regions.
2.7.2 Climate change impact analysis on ungauged catchment
Rainfall-runoff modelling plays an important role in many areas of hydrology
including estimation of design floods, analysis of catchment yield and evaluation of
the impacts of land use changes on water resources. Rainfall-runoff models are also
used in assessing climate change impacts on water resources (Yilmaz et al. 2011,
Islam et al. 2014). A rainfall-runoff model needs to be calibrated and validated using
the observed climate and runoff data; however, in ungauged catchments, the
calibration and validation cannot be undertaken directly due to unavailability of some
or all of these data. Researchers in many countries attempted to develop rainfallrunoff models for ungauged catchments but with limited success (Boughton 2009). A
number of initiatives including Prediction in Ungauged Basins (Sivapalan et al.
2003) and the Model Parameter Estimation Experiment (Duan et al. 2006)
coordinated multi-national efforts to enhance the accuracy of runoff prediction in
ungauged catchments.
Generally, regional relationships are used to estimate the parameters of a rainfall
runoff model for application in an ungauged catchment. Mainly two regionalisation
principles are reported in the scientific literature for this purpose (Merz et al. 2006):
(i)
calibrate the hydrological model in the nearby gauged catchments and
transpose the model parameters to the ungauged catchment; and
(ii)
derive relationship between the model parameters and catchment
attributes based on gauged catchments and use these relationship to
predict model parameters at the ungauged catchment.
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Estimation of runoff with a reasonable accuracy in an ungauged catchment is
regarded as a challenging task as notable uncertainties are involved in the
regionalisation technique (Sivapalan 2003, Goswami et al. 2007). In order to
transpose the optimized parameter sets from the geographically nearest gauged
catchments to the ungauged ones, the rainfall-runoff models need to be calibrated
using the data from the gauged catchments. Different sources of uncertainties are
associated with the model parameter estimation during the calibration of a rainfallrunoff model such as selection of appropriate input data for the gauged catchments,
quality of observed data against which the model is calibrated, choice of calibration
data length, selection of calibration technique and objective function. These
uncertainties need to be quantified to assess the relative accuracy of the prediction
made by a rainfall-runoff model (Beven 2006).
2.7.2.1 Uncertainty owing to input data
Uncertainty in the input data to a rainfall-runoff model is mainly associated with the
measurement error, and spatial and temporal sampling error. Rainfall and
evaporation data are the two most important inputs to the rainfall-runoff models. As
rainfall is the most important driving variable in the rainfall-runoff modelling, the
uncertainty in the input rainfall data is considered to be one of the most prevalent
sources of uncertainties in the rainfall-runoff modelling. Evaporation has a much
smaller spatial and temporal variability than rainfall and hence rainfall-runoff
modelling results are likely to be less influenced by the errors in evaporation data
compared with rainfall data (Paturel et al. 1995, Andréassian et al. 2004, Boughton
2006). Chapman (2003) found that monthly average evaporation can be used as a
replacement for daily evaporation in the case of missing data without any significant
loss of accuracy in the outcomes of a rainfall-runoff model.
Measurement error in rainfall generally occurs due to faulty instruments. Another
uncertainty in rainfall data is associated with the limited spatial and temporal
representation of rainfall due to insufficient density of rain gauges. In most of the
cases rainfalls are measured at discrete intervals in time and at a limited number of
points but rainfall are highly variable in both space and time. Therefore, selection of
rainfall data can have a large impact on the calibration of a rainfall-runoff model.
Oudin et al. (2006) investigated the effects of rainfall data error on streamflow
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estimation in twelve watersheds in the United States using GR4J and TOPMODEL
and found that the rainfall data error could introduce 35% to 50% uncertainty in the
predicted runoff. Yoo et al. (2012) simulated seven rainfall events considering the
error in the actual rainfall events and found that these rainfall events could lead to
uncertainty in the Clark instantaneous unit hydrograph model parameters by about
30% in the Chugnju Dam Basin, Korea. The results of these studies indicate that
error in the input rainfall data can introduce a notable degree of uncertainty in the
outputs of a rainfall-runoff model.
2.7.2.2 Uncertainty owing to observed gauged/output data
Another problem with the calibration of a rainfall-runoff model is the presence of
error in the runoff data. In many cases, runoff data in Australia is not measured
directly rather it is estimated from a rating curve during the event of large storms due
to practical difficulties including risk of life, high cost and access to gauging stations.
A rating curve is constructed in most cases by correlating measured discharges with
the corresponding observed stages at a particular gauged station (Petersen-Øverleir
and Reitan 2009, Haddad et al 2010). However, due to many ranges of extrapolation
involved during the construction of rating curve, the discharges that are estimated by
rating curve are subject to high degree of uncertainty specially during large flows
(Kuczera 1996, Pappenberger et al 2006, Di Baldassarre and Montanari, 2009).
Nevertheless, runoff data from the gauged catchments are assumed to be of good
quality in most of the rainfall-runoff studies.
2.7.2.3 Uncertainty owing to choice of optimization technique
A rainfall-runoff model estimates runoff by simulating the physical processes in a
catchment that represent the movement of water over the surface and through the soil
during or after a rainfall event.
A large number of parameters are generally
associated with a rainfall-runoff model which are conceptual in nature and cannot be
measured directly (Kim and Lee 2014). They are estimated through a calibration
procedure which involves matching simulated runoff values with the corresponding
observed values as closely as possible. Consequently, the calibration identifies an
optimum parameter set of a rainfall-runoff model by minimizing the deviations
between the observed and simulated runoff values.
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Over the last couple of decades, notable research has been carried out to develop
reasonable and effective calibration methods based on optimization techniques (Yu
and Yang 2000, Vrugt et al 2003). Several studies have been conducted to compare
the relative performance of different optimization techniques for the calibration of
rainfall-runoff models. For example, Gan and Biftu (1996) assessed the performance
of three optimization techniques: (i) the shuffle complex evolution method; (ii) the
multiple start simplex and (iii) the local simplex during the calibration of four
rainfall-runoff models in the eight catchments selected from different parts of the
world. They found that even though the performances of three different optimization
techniques were comparable with each other; they produced different parameter sets
for the same catchment. Franchini and Galeati (1997) compared two optimization
techniques in the calibration of a rainfall-runoff model and found that the pattern
search optimizer performed slightly better than the genetic algorithm optimizer.
Madsen et al. (2002) compared three different optimization techniques during the
calibration of the NAM rainfall-runoff model in a Danish catchment and found that
all the methods produced comparable results. Due to the variable performance of the
optimization techniques, an uncertainty analysis is very much needed during the
calibration of a rainfall-runoff model by adopting a number of different optimization
techniques.
2.7.2.4 Uncertainty owing to choice of calibration and validation data length
Length of calibration and validation data set is another source of uncertainty in the
calibration of a rainfall-runoff model. Generally, model users tend to use longer
periods of data for model calibration to achieve a good calibration result. However,
many researchers have demonstrated that longer periods of calibration data may not
necessarily produce better calibration result and suggested different lengths of
calibration data set to produce an optimum parameter set for different rainfall-runoff
models and study regions.
For example, Yapo et al. (1996) demonstrated that approximately eight years’ of
calibration data was adequate to obtain an optimum parameter set for NWSRFSSMA conceptual rainfall-runoff flood forecasting model. They noted that the effect
of using more than eight years of calibration data could not improve the modelling
results. Lidén et al. (2001) applied the HBV-SED model for a Zimbabwean basin and
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found that the model could give satisfactory results even using a single year’s of data
in the calibration. Xia et al. (2004) tested the Chameleon Surface model to a Russian
basin and found that at least three years of calibration data was necessary to obtain a
parameter set that was independent of the selected period.
However, some studies reported that a shorter period of calibration data length may
produce erroneous model results. For example, Boughton (2007) demonstrated by
using the Australian Water Balance Model (AWBM) in the Snowy Creek catchment
in Victoria, Australia that use of short periods of data (2 to 5 years) in the calibration
could produce -21% to 30% error in the runoff estimation. From these studies, it is
difficult to generalize the minimum data length required for model calibration or to
identify the maximum length beyond which no improvement can be achieved in the
modelling output. Therefore, it is important to identify the uncertainty in the model
parameters due to the variability in calibration data length before using the parameter
set to the ungauged catchments or climate impact studies.
2.8 Climate and demand uncertainty on yield of urban water supply systems
Yield of an urban water supply system is generally defined as the maximum volume
of water that can be adequately supplied to the communities/cities from the system
over a given period. Yield is generally subject to several factors, such as, climate
change, operating rules, demand pattern and adopted level of service. It is a key
indicator of the performance of a water supply system which plays important roles in
water supply system management, policy development and enforcement, expansion
studies and decision making strategies. Water supply systems and its yields (potable
water) are increasingly being viewed as vital resources throughout Australia and the
rest of the world. Enormous pressures in supplying adequate water to the
communities have been experienced by many water supply systems throughout the
world due to changing climate and increasing population conditions (i.e. increase in
water demand), sometimes being required to supply water close to or exceeding its
sustainable yield level (Queensland Water Commission 2010, Sydney Water 2010).
Most Australian urban water systems have been gone through such pressures during
the recent droughts in the decade of 2000-2010, which resulted in the enforcement of
record water restriction periods and permanent water savings measures to some of
the urban cities (Queensland Water Commission 2010, Sydney Water 2010). Hence
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it is crucial to estimate the effects of changing climate and demand scenarios on the
future yield of a water supply system to facilitate in the processes, practices,
management and operation of urban water supply systems in an efficient and reliable
way.
Analysing the impacts of climate change on runoff is increasingly well recognised
(Gosling et al. 2011, Teng et al. 2012). However, climate change impact analysis on
urban water supply system has not been given much attention in the literature. In
addition, translating the impacts of climate change on runoff cannot be used as a
substitute of the quantification of potential impacts of climate change on water
supply system, as a water supply system is a complex system whose
performance/reliability in supplying adequate water to the community depends on
many factors, specially on the balance between inflow (i.e. catchment yield) and
outflow (i.e. water demand). Climate change is expected to affect not only the
catchment yield but also the water demand pattern. Hence, incorporation of demand
uncertainty due to changing climate and population growth along with catchment
yield uncertainty are vital factors in identifying the reliability/performance of a water
supply system to supply adequate water in the future.
Few investigations have been done on the impact analysis of climate change on water
supply system, for example, in Japan (Islam et al. 2005), in USA (Wiley and Palmer
2008), and in Australia (Paton et al. 2013). However, most of them concentrated on
the identification of the probable impacts of climate change on the water supply
systems due to several GCMs and greenhouse gas emission scenarios while ignoring
the water demand uncertainty. For example, Wiley and Palmer (2008) investigated
the climate change impact on a municipal water supply system in Puget Sound
Region in the U.S using projections from several GCMs and a fixed water demand
condition. But, water demand is one of the key factors that determine the reliability
of the performance of a water supply system. By ignoring the effects of demand
uncertainty due to potential changes in future climate and population conditions on
water supply system, the reliability estimation of a water supply system under
changing climatic conditions may not give accurate results.
These results would negatively affect the water planning and management decisions
and may pose threat in providing adequate water supply to the community in the
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future. In a recent study (i.e. Paton et al. 2013) of uncertainty assessment of a water
supply system under changing future climatic conditions in Adelaide, Australia, the
authors demonstrated that the demand uncertainty could play a major role in
determining the reliability of a water supply system. However, this study considered
a scenario based approach where six demand projections were considered (very low,
low, medium low, medium high, high and very high) during the assessment of the
magnitudes of the uncertainties of a water supply system. Hence there is a lack of
knowledge in the field of estimating future performance of a water supply system by
incorporating both the future catchment yield and demand uncertainties.
2.9 Summary
This chapter has discussed the issues of climate change impact analysis on urban
water demand, catchment water yield and their associated uncertainties in estimating
yield of a water supply system. It has been found that despite the growing concern
about future climate change and the affects of climate variables on water demand,
very little attention has been given in finding the impacts of climate change on future
urban water demand. In addition, incorporation of future climate scenarios through
the adoption of global climate models has largely been unexplored. Hence a
knowledge gap exists in finding the climate change impact on future urban water
demand and in linking GCM projection with the water demand forecasting model.
Due to the high importance of estimating long term urban water demand to plan for
future water supply systems, more focus is needed to estimate the long term urban
water demand in probabilistic way to consider the possible scenarios in designing,
planning and management of future water resources. It has been found that most of
the earlier studies have estimated long term water demand in a deterministic way (i.e.
single forecast of future water demand). Few studies have estimated the urban
demand in a probabilistic way, and correlation structures of the input variables were
not considered by those studies, which is an important limitation as variables in
urban water demand are often correlated with each other. Therefore, a methodology
needs to be developed to estimate future water demand by considering the stochastic
nature of the independent variables as well as their correlation structures.
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To overcome these knowledge gaps, this thesis estimates the climate change impact
on future water demand by linking GCM projections with the water demand
forecasting model. In addition, this thesis presents a methodology to estimate future
water demand scenarios in a probabilistic way by considering the stochastic nature
and inter correlation of the independent variables.
It has been found that use of water restrictions has emerged as an important tool to
manage shortages in water supply during drought periods. Some studies have also
mentioned that use of water restrictions would be more frequent in future as
frequency and severity of drought periods are expected to increase in future. Hence,
there is a need for evaluating the effectiveness of the water restriction programs to
manage water demand. There are limited studies in this regard in the literature.
Another issue present in regards to inclusion of water restrictions and other water
conservation programs in the water demand forecast modelling as continuous
independent variables. Most of the studies incorporate the water saving programs as
binary variables. From the reviewed literature, it has been found that till date no
study has investigated the inclusion of water savings as continuous independent
variables in the water demand forecasting model. The inclusion of the water saving
variables offers distinct advantage over binary variables as in the future conditions
quantity of water savings from each program/number of household participants of
each program can be put in the forecasting model instead of considering only the
presence or absence of a given water saving programs. Therefore, the inclusion of
water savings variables as continuous independent variable in the water demand
forecasting model needs to be investigated. Hence, this thesis investigates the
effectiveness of incorporating water savings programs in the water demand
forecasting model by taking them as continuous independent variables.
In climate change studies on runoff/catchment yield estimates, it has been found that
a number of uncertainties (e.g. GCM uncertainty, downscaling uncertainty, emission
scenario uncertainty, realisation uncertainty and hydrological model uncertainty) are
associated with the future runoff projections under changing climate conditions.
Several studies have been conducted on estimating uncertainty in the climate change
impact studies on runoff estimates with the major focus on GCM, downscaling,
hydrological model and scenarios uncertainty. In spite of being a potential source of
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uncertainty, the realisation uncertainty (within-GCM uncertainty) has received a very
little attention in the literature and has largely been unexplored. Hence this thesis
investigates and quantifies the impacts of this uncertainty during estimating the
future runoff under changing climatic conditions. It has been also found that a
number of uncertainties (selection of proper input data, quality of observed output
data, choice of optimization algorithms and selection of appropriate calibration and
validation data lengths) are associated with the calibration of a rainfall-runoff model
in order to be used in ungauged catchments to estimate future runoff. Several studies
have been investigated these issues separately and the studies on systematic
evaluation of these uncertainties are limited. Hence this thesis contributes to the
existing literature by evaluating these sources of uncertainty in an integrated way
during the calibration of a rainfall-runoff model.
In regards to assessing the impacts of climate change on water supply systems, it has
been found that most studies have considered only the climate change impact on
water yield while ignoring the impact of climate change on urban water demand and
uncertainty in the demand estimates. Despite the importance of considering future
water demand scenarios under plausible changing climate conditions, scant attention
has been given to the combined contribution of future water demand and yield
scenarios in evaluating the reliability of a water supply system in supplying adequate
water to the community in the context of changing climate. Hence, this thesis
incorporates both water demand and yield scenarios under changing climate
conditions in assessing the reliability of a water supply system.
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Climate change impact on water demand and supply
CHAPTER 3: Study area and Data
CHAPTER 3
STUDY AREA AND DATA
3.1 Overview
Chapter 2 has discussed the issues of climate change impact studies on urban water
demand, catchment water yield and water supply systems, and summarised the
knowledge gaps in the existing literature. This chapter describes the study area and
data used for climate change impact analysis on water demand and supply. In
particular, this chapter discusses the selection of the study region and an urban water
supply system, the importance of the study area and the data collation undertaken in
this study.
3.2 Case study area and its importance
The Blue Mountains region has been selected as the case study area (Figure 3.1). It is
a mountainous region in the state of New South Wales (NSW), Australia located in
west of Sydney. It has latitude of 33.7°S and a longitude of 150.3° E. In the Blue
Mountains region, residents get water from the Blue Mountains Water Supply
System (BMWSS). The BMWSS provides water to about 48,000 people residing
between Faulconbridge and Mount Victoria (Figure 3.2) through its two demand
zones, upper (Mount Victoria to Leura) and middle (Wentworth Falls to
Faulconbridge) Blue Mountains. The BMWSS consists of three major water sources:
(i)
Blue Mountains dams at Katoomba and Blackheath,
(ii)
The Fish river water scheme, originates in Oberon (Miller 2012),
and
(iii)
Warragamba dam.
In the case of emergency the BMWSS is supplemented with additional water from
the Warragamba dam up to the area of Wentworth Falls (Figure 3.3). However,
beyond the Wentworth Falls, the residents in the upper Blue Mountains region
(Mount Victoria to Leura) solely depend on the BMWSS to get supply water.
During the recent drought (2003-2009) in Sydney, the risks of relying on the storages
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of the Blue Mountains dams in the BMWSS were demonstrated, as storage levels
became critical to supply water (Sydney Catchment Authority 2009a). During that
period, the NSW government had to implement water restriction rules in the greater
Sydney to reduce the demand for water in order to manage the shortages in the water
supply. The same restriction rules were also applied to the Blue Mountains region.
Hence, the need for forecasting long term water demand, estimating future catchment
water yield and assessing the performance of the BMWSS with associated
uncertainties under plausible changing climate conditions is deemed to be very high.
This necessary forecasting and assessment will enable the decision makers and the
authorities to take appropriate management decisions and adaption strategies to
supply adequate water to the communities.
Figure 3.1 Location of the Blue Mountains region in the New South Wales,
Australia
3.3 Catchments and dams in the BMWSS
There are total six dams (Figure 3.4) in the Blue Mountains regions. These dams
receive water from the three small catchments (Figure 3.5) namely, Katoomba,
Woodford and Blackheath. Among the six dams, three dams are located in the
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Katoomba catchment, namely, Lower, Middle and Upper Cascade dams on Cascade
Creek. Greaves Creek dam on Greaves Creek and Lake Medlow dam on Adams
Creek are located in the Blackheath catchment. Woodford dam at the junction of
Bulls Creek and Woodford Creek is located in Woodford catchment (Sydney
Catchment Authority 2014a). Woodford dam is currently decommissioned which is
not used to supply water. Katoomba and Blackheath catchments are ungauged
catchments with an area of about 2.81 km2 and 7.32 km2, respectively. The nearest
gauged catchment, Narrow Neck catchment (26 km2), is located in the Megalong
area, which is around 6.2 km away from Katoomba and 10 km away from the
Blackheath catchment.
3.4 Climate conditions of the study area
The climate of the Blue Mountains region is normally moderate compared with the
lower Sydney region. As Mount Victoria is over 1,000 meters above sea level, the
temperature is generally 70C lower on average than the coastal Sydney. Monthly
mean maximum temperature and monthly total rainfall of the study area (Katoomba
weather station) for the period of 1997 to 2011 are presented in Table 3.1 and Figure
3.6, respectively. The monthly mean maximum temperature in the Blue Mountains
area is found to be around 110C and 230C in winter (June to August) and summer
months (December to February), respectively. The annual average rainfall in the
Blue Mountains area is found to be around 1320 mm per year.
Table 3.1 Monthly mean maximum temperature of the Blue Mountains region
for the period of 1997-2011
Month
Mean
maximum
temperature
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
24.07
23.03
20.93
17.61
13.97
10.91
10.21
12.19
15.74
18.10
20.15
22.74
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Figure 3.2 Water supply zone (Mt Victoria to Faulconbridge) of the Blue
Mountains water supply system (City of Blue Mountains 2007)
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Oberon Dam
CHAPTER 3: Study area and Data
Upper Blue Mountains
(Mt Victoria to Leura)
supply zone
Lower Cascade Dam
Middle Cascade Dam
Upper Cascade Dam
Medlow Dam
Woodford Dam
Water can be supplied up to
Wentworth Falls from Warragamba dam
Boundary limit of Warragamba dam supply
Middle Blue Mountains
(Wentworth Falls to
Faulconbridge) supply
zone
Greaves Creek Dam
Penrith supply zone
Orchard Hills water
filtration pump
Legend
Dam
Pumping station
Warragamba Dam
River channel
Raw water pipeline
Treated water pipeline
Figure 3.3 Blue Mountains water supply system (Sydney Catchment Authority
2009a)
Figure 3.4 Location maps of the Blue Mountains dams in the New South Wales,
Australia (Sydney Catchment Authority 2014b)
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Figure 3.5 Location maps of the study catchments (Katoomba, Blackheath and
Narrow Neck catchments) (NSW Office of Water 2014)
Annual rainfall (mm)
2500
2000
1500
1000
500
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
0
Year
Figure 3.6 Annual rainfall of the Blue Mountains region for the period of 19972011 (red line represents annual average rainfall)
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3.5 Water conservation programs and water restrictions
Sydney Water has initiated some water conservation programs in greater Sydney
including the Blue Mountains region to encourage the residents to use the water
efficient appliances in their houses to save water, in other words, to reduce the
demand for water. These programs have been introduced at the beginning of the year,
2000. These programs mainly consist of the following five programs:
(i)
WaterFix (installation of new showerheads, flow restrictors and
minor leak repairs undertaken by a licensed plumber);
(ii)
DIY (Do-It-Yourself) kits (self-installed flow restrictors);
(iii)
Replacement of washing machines with more water efficient one;
(iv)
Installation of water efficient toilet flushes; and
(v)
Installation of a rainwater tank.
Voluntary water restrictions were introduced by NSW Government in October 2002
when Sydney’s reservoirs were at a combined capacity of 67.4% (Sydney Water
2014). After voluntary water restrictions, NSW Government imposed mandatory
Level 1 water restrictions on 1 October 2003 when dam levels dropped below 55%.
A penalty of $220 was set for any breach of restriction rules. More rigid Level 2
restrictions were introduced on 1 June 2004 when the dam levels dropped below
50%. At Level 2, the restrictions on watering garden became more restricted and the
days on which watering can be allowed were reduced. On 1 June 2005, more
stringent Level 3 restrictions were applied when the dam levels dropped further
below 40% (Sydney Water 2014). In June 2009, Level 3 restrictions were lifted as
dam storage levels had improved to around 60%. Restriction rules of these different
levels of water restriction that was imposed in the Blue Mountains region can be
found in Table 2.1 (Chapter 2).
3.6 Data collection and future projections of the variables
3.6.1 Historical water demand in the BMWSS
Monthly metered water consumption data of the Blue Mountains region (Mount
Vitoria to Faulconbridge) were obtained from Sydney Water for the period of
January 1997 to September 2011 for the BMWSS. It has been found that around 80%
of total water is used by residential sector and the remaining 20% is consumed by
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non-residential (commercial and industrial) sector (Figure 3.7). It has also been
found that the single dwelling sector (i.e. free standing houses/semi-detached houses)
is responsible for about 94% of the total residential water consumption, while the
multiple dwelling sector (i.e. apartment blocks/units) for the remaining 6%.
Multiple
dwelling
sector
consumption
5%
Non
residential
sector
consumption
20%
Single
dwelling
sector
consumption
75%
Figure 3.7 Composition of total water consumption in the Blue Mountains
region, NSW, Australia for the period of 1997-2011
Total yearly consumption (kL)
5000000
4500000
4000000
3500000
3000000
2500000
2000000
1500000
1000000
500000
0
1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
Year
Figure 3.8 Yearly total water consumption (1997-2010) in the Blue Mountains
region, Australia
Total yearly metered water consumption of all sectors and per dwelling monthly
water consumption data of the residential sector comprising of single and multiple
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dwellings sectors are presented in Figures 3.8 and 3.9. Both the figures show the
gradually decreasing trend in the water consumption during the period of 2003 to
2010 which is more likely to be attributed to the combined effect of imposed water
restrictions and conservation programs adopted during that period in the Blue
Mountains region. It should be noted here that no mandatory water restrictions were
applied in the Blue Mountains region before 2003.
20
15
10
5
0
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Jan
Jul
Water Consumption (kL/dwelling/month)
25
1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
Month & Year
Figure 3.9 Per dwelling monthly water consumption of the residential sector
(1997-2010) in the Blue Mountains region, Australia
3.6.2 Water price
Water usage price data were obtained from Sydney Water for the period of 19972012, which is presented in Table 3.2. Two water consumption bands (tiers) are
applied in the BMWSS to determine the water use price, tier 1 (0 to 400 kL/year) and
tier 2 (400 + kL/year). In the Blue Mountains region, water consumption band falls
under the tier 1; therefore, price of tier 1 has been used throughout the study. From
the water price data, it has been found that price of water has been increasing in
every year by 0.085 AUD/kL. Based on this growth rate, water price for the
forecasting period is estimated to be used in the water demand forecasting. At 2040,
the water price is forecasted to be 4.48 AUD/kL.
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Table 3.2 Water price data for the Blue Mountains region of the period 1997 to
2012
Year
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
Water price
($/kL)
0.75
0.79
0.80
0.89
0.91
0.93
0.94
0.98
1.01
1.15
1.26
1.34
1.61
1.87
2.01
Consumption band
tier - 1 (kL/year)
0+
0+
0+
0+
0+
0+
0+
0+
0+
0 - 400
0 - 400
0 - 400
0 - 400
0 - 400
0 - 400
3.6.3 Number of dwellings
Dwellings data of the single and multiple dwelling residential sectors in the Blue
Mountains region (Mount Vitoria to Faulconbridge) were obtained from Sydney
Water for the period of 1997 to 2011. Total number of dwellings of the Blue
Mountains region is presented in Figure 3.10. From the data, it has been found that
majority of the dwellings are in the single dwelling category. Composition of the
dwellings in the single and multiple dwelling sectors demonstrate that 91% of the
dwellings belong to single dwelling sector and the rest 9% belongs to multiple
dwelling sector.
Figure 3.10 shows that the number of dwellings is gradually increasing. The monthly
growth rates of single and multiple dwelling sectors have been found to be around
0.07% and 0.17%, respectively. Based on this growth rate, numbers of single and
multiple dwellings have been forecasted for the periods of 2012-2040 to be used in
the water demand forecasting models to predict future water demand.
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Single Residential Dwellings
CHAPTER 3: Study area and Data
Multi Residential Dwellings
Number of dwellings
20000
18000
16000
14000
12000
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
Jan
June
10000
1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 20102011
Month, Year
Figure 3.10 Number of total dwellings in the Blue Mountains region during the
period of 1997 to 2011
3.6.4 Water conservation programs
Several water conservation programs (mentioned in section 3.5) have been
introduced to the greater Sydney including the Blue Mountains region in 2000 by
Sydney Water to reduce water demand. Number of participated dwellings in those
programs in monthly time steps was obtained from Sydney Water for the period of
2000 to 2011. In addition, approximate yearly average water savings from those
programs were obtained from Sydney Water (Table 3.3).
It should be noted here that not all the programs started in 2000; WaterFix started in
2000, and installation of rainwater tank and washing machine programs started in
2003 (Figure 3.11). DIY and replacement programs started in 2005 and 2009,
respectively. From the recent two years’ (September 2009 to September 2011)
available data on the number of participated dwellings in the water conservation
programs, it has been found that in each month 7, 13, 2, 8 and 11 dwellings were
added in the WaterFix, toilet replacement, DIY, washing machine and rainwater tank
programs, respectively. Future values of the participating dwellings in the water
conservation programs have been estimated based on this monthly growth rate till
2040.
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Table 3.3 Average water savings from the water conservation programs
Water conservation programs
Average water savings per
program (kL/year)
Average water
savings per
program
(kL/month)
WaterFixa
20.9
1.74
Residential toilet replacement
23
1.92
DIY (Do-it-Yourself) kitsb
6.73
0.56
Washing machine
18.43
1.54
Residential rainwater tank
36.54
3.05
a
Installation of new showerheads, flow restrictors and minor leak repairs undertaken by a licensed
plumber
b
Self-installed flow restrictors
WaterFix
Rainwater tank
DIY
Waching machine
Toilet replacement
Number of participated dwelling
7000
6000
5000
4000
3000
2000
4
1
1000
2
3
5
0
1 6 11 4 9 2 7 12 5 10 3 8 1 6 11 4 9 2 7 12 5 10 3 8 1 6 11 4 9
2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011
Month, Year
Figure 3.11 Number of participated dwellings in the water conservation
programs (1: WaterFix, 2: Rainwater tank, 3: DIY, 4: Washing machine and 5:
Toilet replacement) in the Blue Mountains region for the period of 2000 to 2011
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3.6.5 Climate projections
The future projections of rainfall, temperature and evaporation data for the period of
2021 to 2040 were obtained from Sydney Catchment Authority. Katoomba weather
station, which is located in the Blue Mountains region, has been used to obtain future
projections of rainfall and temperature data. Richmond – (UWS Hawkesbury weather
station) has been used to obtain evaporation data as it is the closest weather station to
the study area for which downscaled evaporation data for the future period was
available. These future projections of climatic data were generated using CSIRO Mk.
3 GCM under three emission scenarios, A1B, A2 and B1, and downscaled by a
statistical downscaling method (Mehrotra and Sharma 2010). These data were
generated for an inter-governmental project called “Climate change and its impacts
on supply and demand in Sydney (2009)”, more details of the project can be found in
the technical report produced by Sydney Catchment Authority (2009b).
Table 3.4 List of the GCMs used in this study and their spatial resolution
Modelling group and Country
Horizontal
resolution
(km)
(approx.)
Reference
CCCMA
Canadian Centre for Climate
Modeling
and Analysis, Canada
175
Flato and Boer (2001)
CSIRO Mk 3
CSIRO Atmospheric Research,
Australia
175
Gordon et al. (2002)
3
MIROC
Center for Climate System
Research (The
University of Tokyo), National
Institute for
Environmental Studies, and
Frontier Research
Center for Global Change, Japan
250
K-1 model developers
(2004)
4
ECHAM5
Max Planck Institute of
Meteorology, Germany
175
Jungclaus et al. (2006)
No
Global climate
model
1
2
More recent and up to date future projections of rainfall data for the Katoomba
weather station were also obtained from Sydney Catchment Authority for four GCMs
(CSIRO, MIROC, CCCMA and ECHAM 5) for the period of 2021 to 2040 under A2
emission scenario. The horizontal resolutions and originating countries of the four
GCMs that are used in this study are given in Table 3.4. These rainfalls projections
were downscaled by MMM-KDE stochastic downscaling model (Mehrotra and
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Sharma 2007) and 100 realisations of downscaled rainfall were made available for
each of the GCM. These data are the outputs of the NARCliM (NSW/ACT Regional
Climate Modelling) project that is producing an ensemble of regional climate
projections for New South Wales and the Australian Capital Territory, Australia.
More details on the NARCliM project can be found on the website,
http://www.environment.nsw.gov.au/research/Regionalclimate.htm.
3.6.6 Runoff
As the Blue Mountains catchments (Katoomba and Blackheath) are ungauged
catchments, historical runoff data that is required to calibrate and validate the
rainfall-runoff models in order to be used in the climate impact analysis was not
available for those catchments. Therefore, runoff data were obtained from the nearest
gauged catchment (Narrow Neck) of the Blue Mountains catchments to be used in
the calibration of the rainfall-runoff models for the period of 1990 to 2012 in
monthly time steps. The streamflow data of the Narrow Neck catchment was
obtained from NSW Department of Water, which indicated a good quality data set
based on the reported data quality.
3.7 Summary
In this thesis, the Blue Mountains region and the Blue Mountains water supply
system have been selected as the study region and as an urban water supply system,
respectively, to carry out the research. Forecasting of the future changes in the water
demand and supply scenarios due to the changing climatic conditions is of great
importance in this study area and the water supply system to ensure efficient water
supplies to the communities. The necessary data to develop long term water demand
forecasting models and to identify the climatic impacts on water demand and supply
were obtained from Sydney Water and Sydney Catchment Authority. These data
have been used in the analyses and modelling in the subsequent chapters.
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CHAPTER 4
IMPACT OF WATER RESTRICTIONS ON
URBAN WATER DEMAND
This chapter is partial reproduction of the following refereed paper:
Haque, M.M.1, Hagare, D.1, Rahman, A.1, and Kibria, G.2 2014.
Quantification of water savings due to drought restrictions in water demand
forecasting models. Journal of Water Resources Planning and Management,
140(11), 04014035. (ERA 2010 ranking: A*, Impact factor: 1.76).
1
School of Computing, Engineering and Mathematics, University of Western
Sydney, Australia
2
Sydney Catchment Authority, Penrith, Australia
Abstract
This chapter presents a technique to quantify water savings due to implementation of
water restrictions by adopting water restriction indices as a continuous numerical
independent variable in a regression analysis. The adopted modelling technique
compares four methods: Yearly Base Difference Method (YBDM), Weighted
Average Method (WAM), Before and After Method (BAM) and Expected Use
Method (EUM). These methods are applied to the residential sectors in the Blue
Mountains region, Australia, which consists of single and multiple dwelling sector.
Three forms of multiple regression techniques are adopted: Raw-Data/Linear, SemiLog and Log-Log. The model performances are evaluated by a number of statistics
such as absolute average relative error, Nash-Sutcliffe efficiency and percentage
bias. Moreover, the potential of using the water restriction savings and water
conservation savings as continuous independent variables in the water demand
forecasting model is investigated. The performances of different modelling
techniques are evaluated using split-sample and leave-one-out cross validation
methods. The YBDM method is found to quantify the water savings more accurately
than the other adopted methods. The water savings due to Levels 1, 2 and 3 water
restrictions are found to be approximately 9%, 18% and 20%, respectively, for the
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single dwelling sector and approximately 4%, 8% and 9%, respectively, for the
multiple dwelling sector. The Semi-Log model coupled with the YBDM method is
found to perform the best in predicting water demand for both the single and multiple
dwelling sectors with an absolute average relative error of about 3%.
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4.1 Overview
Chapter 3 has discussed the selection of the study area and its importance, and data
collation for the study area. This chapter estimates water savings due to the
implementation of water restrictions in the Blue Mountains water supply system
during the drought periods (2003-2009). This chapter also develops the long term
water demand forecasting models by adopting water savings as continuous
independent variables (i.e. numeric representation) in the models. This chapter
commences with presenting the methodologies developed to quantity water savings
and the methodologies adopted to develop water demand forecasting models. It then
discusses the variables used in the water demand forecasting models. This is
followed by the results and discussion, and the chapter concludes by summarising the
findings.
4.2 Methodology
The methodology developed to quantify water savings from water restrictions is
illustrated in Figure 4.1. First, total water savings due to water restrictions and water
conservation programs were calculated for the period of 2003-2009 by four different
methods: Yearly Base Difference Method (YBDM), Weighted Average Method
(WAM), Before and After Method (BAM) and Expected Use Method (EUM)
(detailed descriptions of these methods are given in Section 4.3.2). Then, water
savings due to water restrictions were identified by separating the water conservation
savings from the total savings.
The evaluation of the water savings calculation methods was done in two steps:
(i) by including the water restriction and water conservation savings
variables in the water demand models as independent variables
along with other climatic, demographic and water price variables;
and
(ii) by comparing the performance of the developed models to simulate
historical water demand for the water restrictions periods (20032009) in the Blue Mountains region.
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From these results, the best water demand model and the best water savings
calculation method were identified. Thereafter, the identified water demand model
was used to forecast water demand for the period of July 2009 to September 2011 to
test its suitability as a forecasting model. In addition, leave-one-out cross validation
was undertaken with the identified water demand forecasting model to test the
reliability of the model. These water savings and demand forecasting calculations
were done for both the single and multiple dwelling sectors separately.
Step 1: Calculation of total water savings
By YBDM, BAM, EUM & WAM
Step 2: Estimation of water savings due to water
conservation programs
Step 3: Estimation of water savings due to restrictions from
step 1(value)-step 2(value) for YBDM, BAM, EUM & WAM
Step 4: Modelling of water demand for the period 1997-2009
Demand model
(YBDM)
Demand model
(BAM)
Demand model
(EUM)
Demand model
(WAM)
Step 5: Evaluating the performances of the models
Step 6: Identifying the best model and best water savings
calculation method
Step 7: Forecasting of water demand by the best model for
the period of July 2009 to September 2011
Step 8: Leave-one-out cross validation of the considered
forecasting model
Figure 4.1 Framework for quantifying water savings and developing water
demand forecasting models
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4.2.1 Multiple regression analysis
In this chapter, multiple linear regression (MLR) techniques were adopted to model
and forecast water demand for both the single and multiple dwelling sectors in the
Blue Mountains region. A MLR technique attempts to model the relationship
between two or more independent variables with a dependent variable by fitting a
linear equation to the observed data. In water demand literature, three forms of
multiple regression techniques: Raw-Data, Semi-Log, and Log-Log are widely used
to model long term water demand (e.g. Hoffmann et al. (2006), Babel et al. (2007),
Dziegielewski and Chowdhury (2011)). In this chapter, these three forms of multiple
regression techniques were adopted to develop the water demand models.
In the Raw-Data model, the relationship between the dependent variable and the
independent variables are assumed to be linear. The following represents a multiple
linear regression equation (Montgomery et al. 2001):
Y    1 X1   2 X 2  ....  k X k
(4.1)
where  is the model intercept, 1, 2,3...k are the slope coefficients, and k is the
number of independent variables.
In the Semi-Log model, only the dependent variable is normally taken in 10-base
logarithmic form whereas in the Log-Log models both the independent and
dependent variables are entered as 10-base logarithmic form in the regression
equation. The functional forms of the Semi-Log and Log-Log model are given in
equations 2 and 3, respectively (Babel et al. 2007).
log Y    1 X 1   2 X 2  ....   k X k
(4.2)
log Y    1 log( X 1 )   2 log( X 2 )  ....   k log( X k )
(4.3)
4.2.2 Estimation of total water savings
4.2.2.1 Yearly base difference method (YBDM)
This approach defines a base consumption period for which no restriction is
implemented and estimates the average water consumption for that period. Then total
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water savings for a period due to water restrictions and water conservation programs
are calculated by comparing the average base water use to the water use of the
drought periods. For illustration, let’s say WU b is the average monthly water use for
the base period (1997-2002) and WU ij is the water use in the month j of the
drought year
(2003-2009), where j = Jan, ..., Dec. Then total monthly water
savings ( WSij ) can be calculated by the following equation:
WSij  WU b  WU ij
(4.4)
In this study, the period 1997-2002 was chosen as the base consumption period as
during these periods no water restriction was imposed in the study area. Moreover,
no water conservation programs were implemented during 1997-2000. However, a
very little amount of water savings (2% of total water use) was achieved during the
period 2001-2002 due to the introduction of the water conservation programs, which
was quite negligible. Average water use per dwelling per month was found to be
16.73 kL/dwelling/month for the base consumption period for the single dwelling
sector. Total monthly water savings was calculated by comparing this value with the
monthly value of the water consumption per dwelling for the period of January 2003
to June 2009. As an example, calculation of total water savings by the YBDM
method of the year 2004 for the single dwelling sector is presented in Table A.4.1 in
Appendix A.
4.2.2.2 Before and after method (BAM)
In this method, the total monthly water savings are calculated by comparing the
monthly base (1997-2002) water use value with the corresponding monthly water use
of the drought periods. For illustration, if (WU b ) j is the average water use of the
base consumption period of month j where j =Jan, ... , Dec and WU ij is the
water use in the month of j of the drought year i , then total monthly water savings (
WSij ) can be calculated by the following equation:
WSij  (WUb ) j  WUij
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(4.5)
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As an example, monthly base water use and calculation of total water savings by the
BAM method of the year 2004 for the single dwelling sector are presented in Tables
A.4.2 and A.4.3, respectively in Appendix A.
4.2.2.3 Expected use method (EUM)
Water savings calculation by the EUM method normally consists of estimating the
level of water demand (expected use) that would have occurred due to climate
conditions of a particular year under no restrictions and comparing that estimated
water demand value with the observed water demand for that period (Kenney et al.
2004, Spaninks 2010). For illustration, if (WU e )ij is the expected water use in the
month of j under climate conditions of drought year i assuming no water
restrictions and (WU o )ij is the observed water use of the same period. Then total
water savings ( WSij ) can be calculated by the following equation:
WSij  (WUe )ij  (WUo )ij
(4.6)
Define water demand as a function of
climatic variables (i.e. Climate water
demand model)
Estimate the expected water use assuming
no water restriction for the periods of
2003-2009
Calculate the difference between the
expected and observed water consumption
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Figure 4.2 Framework of calculating total water savings by expected use
method (EUM)
The EUM method for calculating total water savings is illustrated in Figure 4.2. First
step of the EUM is to define the water demand function with respect to climatic
variables. In this study, monthly total rainfall and monthly total evaporation data
were used as independent variables in a multiple linear regression equation to predict
monthly per dwelling water use that would have been demanded in the absence of
water restrictions. To easily refer this equation in the next few paragraphs, this model
has been named as “Climate Water Demand Model (CWDM). The coefficients of
this CWDM model were estimated using the data from the year 1999 to 2002 and it
was validated against the year of 1997-1998. The results of these cross-validations
demonstrated that this multiple linear regression equation (R2 = 0.71) had substantial
accuracy in predicting water use as presented in Figures 4.3 and 4.4. For example,
Kenney et al. (2004) also got the R2 values for their models ranged from 0.62 to 0.77.
They argued that this level of accuracy was adequate for the purpose of describing
25.00
20.00
15.00
10.00
Observed
5.00
Modelled
1999
2000
2001
Month & Year
Oct
Jul
Apr
Jan
Oct
Jul
Apr
Jan
Oct
Jul
Apr
Jan
Oct
Jul
Apr
0.00
Jan
Water Use (kL/dwelling/month)
drought response of water use.
2002
Figure 4.3 Comparison of the observed and modelled water use for the period of
January 1999 to December 2002 in the Blue Mountains region using “climate
water demand” model
After doing the multiple regression analysis, the Log-Log model was found better to
model the water demand to be used in the EUM. The developed CWDM model was
applied to the data set (January 2003 to June 2009) to estimate the expected water
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use during the periods of water restrictions. The difference between the expected
water use and observed water use provides an estimate of the total water savings. As
an example, calculation of total water savings by the EUM method of the year 2004
25.00
20.00
15.00
10.00
Observed
5.00
Modelled
1997
Nov
Sep
Jul
May
Mar
Jan
Nov
Sep
Jul
May
Mar
0.00
Jan
Water Use (kL/dwelling/month)
for the single dwelling sector is presented in Table A.4.4 in Appendix A.
1998
Month & Year
Figure 4.4 Validation results of the observed and modelled water use for the
period of January 1997 to December 1998 in the Blue Mountains region using
“climate water demand” model
4.2.2.4 Weighted average method (WAM)
Water savings by the WAM method was estimated by assigning weights to YBDM
and EUM methods. In this study, three pairs of weightages were considered for the
YBDM and EUM methods to be able to make a better comparison of the results of
the WAM with other methods. In this regard, the three pairs of adopted weightages
were: (0.75, 0.25), (0.5, 0.5) and (0.25, 0.75). Total water savings ( WSWAM ) by WAM
was calculated by the following equation:
WSWAM  KYBDM  WSYBDM  K EUM  WSEUM
(4.7)
where, KYBDM = 0.75, 0.5, 0.25 and corresponding K EUM = 0.25, 0.5, 0.75.
As an example, calculation of total water savings by the EUM method of the year
2004 for the single dwelling sector is presented in Table A.4.5 in Appendix A.
4.2.3 Model evaluation criteria
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The performance of each of the developed models was estimated using three
evaluation statistics: the absolute average relative error (AARE), the percentage of
bias (PBIAS) and the Nash-Sutcliffe efficiency (NSE). AARE, expressed as a
percentage, measures the relative magnitude of the error of the predicted values in
relation to the observed data. AARE value can be calculated with the following
equation:
n
AARE (%) 
 (O
 Pi )
i
1
n
O
 100
(4.8)
i
1
where Oi is the observed value at time i and Pi is the predicted value by the model
at time i . A smaller AARE value indicates better performance of the model with an
ideal value of 0%.
PBIAS measures the average tendency of the modeled value to be larger or smaller
than their observed value (Gupta et al. 1999). PBIAS is expressed in percentage and
can be calculated with the following equation:
 (O  P ) *100

O
n
PBIAS
1
i
n
1
i
(4.9)
i
where, n is the number of observations. The most favorable value of PBIAS is zero.
Negative value of PBIAS indicates overestimation bias whereas positive value
indicates underestimation.
The Nash-Sutcliffe efficiency is a normalized measure (-  to 1), that estimates the
relative magnitude of the residual variance compared to the observed data variance
(Nash and Sutcliffe 1970). It can be calculated by the following equation:
 n (Oi  Pi ) 2
1
NSE  1  
n
2

 1 (Oi  Omean )




(4.10)
An ideal value of NSE is one, which indicates a perfect model performance. A
NSE value of zero indicates that the model results are as accurate as the mean of the
observation.
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4.2.4 Leave-One-Out (LOO) cross validation
In this study, the developed water demand forecasting model was tested by using the
leave-one-out cross validation technique. This method consists of developing a
model using all the data except one and then the model is tested on the omitted data
point. Next, the first data record is replaced and a second one is removed and a new
model is then developed with these data and it is now tested on that second data
record that has been omitted. This procedure is normally repeated for all the data
records.
4.3 Water demand variables
Water demand can be influenced by many variables such as socio-economic,
demographic, climatic and demand management programs (Babel and Shinde 2011,
Odan and Reis 2012). In this study, water demand models were developed using per
dwelling monthly metered water consumption as a dependent variable and using
water usage price, rainfall, temperature, water savings from conservation programs,
and water savings from water restrictions as independent variables (Table 4.1).
Many earlier water demand studies (e.g. Hoffmann et al. (2006), Mazzanti and
Montini (2006), Abrams et al. (2012)) have included water price as an independent
variable because of its potential to be a short and long term water demand
management tool. Climate variables, especially rainfall and temperature have some
influence on residential water demand (Gato et al. 2007, Polebitski et al. 2010). A
number of researchers, such as Adamowski (2008), Polebitski and Palmer (2009),
Franczyk and Chang (2009) have included rainfall and temperature as independent
variables in their models. Residential water use is expected to be positively and
negatively correlated with temperature and rainfall, respectively as with higher
temperature and/or lower rainfall, residents tend to use more water for garden
watering and personal use.
As discussed in Chapter 2 (Section 2.5), earlier studies included water conservation
programs and water restrictions as binary variables in the water demand models.
Incorporation of water savings variables as continuous independent variables has not
been investigated in the literature till now. Hence, in this study, estimates of water
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savings were included as continuous independent variables in the water demand
models instead of using binary variables. From the number of participant dwelling
data in water conservation programs in the Blue Mountains regions, it has been
found that the number increases in each month. It implies that the residents in that
area are gradually adopting the water conservation programs in their houses.
Therefore, inclusion of binary variable to represent the effect of water conservation
programs may not capture the increasing effect of those programs properly, as binary
variable only represent the existence or non-existence of the event.
Table 4.1 List of dependent and independent variables used in developing water
demand models
Symbol
Description
Dependent variable
Y
Monthly metered water consumption of a dwelling in
kL
Independent variables
X1
Monthly total rainfall in mm
X2
Monthly mean maximum temperature in 0C
X3
Water usage price ($/kL)
X4
Water savings from conservation programs in
kL/dwelling/month
X5
Water savings from water restrictions in
kL/dwelling/month
As mentioned in Chapter 3 (Section 3.6.4), data on approximate average yearly water
savings for each of the water conservation programs implemented in the study area
during the study period were obtained from Sydney Water (Table 3.3). Some of the
water conservation savings are weather dependent (e.g. rainwater tank), and some are
mostly weather independent (e.g. washing machine use and toilet flushing). The
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monthly savings arising from a given water conservation program are ideally
different from month to month; however, in this study, the annual water savings from
a given water conservation program were equally distributed over all the months.
This is mainly due to the fact that monthly water conservation data from a given
conservation program was not available and it is unlikely to affect the outcome of
this study.
Data on the numbers of household that was participated in the programs were also
obtained in the monthly steps from Sydney Water. Then total monthly water savings
from the conservations programs were estimated by multiplying the average monthly
savings with monthly participated household number. These monthly total savings
were divided by the total number of household in that month to get the average per
dwelling saving from all of the conservation programs. For an illustration,
calculations of per dwelling water savings in the months of January 2007 from the
conservation programs are presented in Table A.4.6 in Appendix A. These monthly
per dwelling water savings which was termed as water conservation savings (WCS)
was taken as one of the independent variables in the regression models.
Per dwelling monthly water savings from water restrictions which was termed as
water restriction savings (WRS) were calculated by deducting monthly per dwelling
water conservation savings from monthly per dwelling total water savings (as
detailed in Section 4.3.2), which can be expressed by the following equation.
(WRS )ij  (WST )ij  (WCS )ij
(4.11)
where,
WRS = Per dwelling monthly water restrictions savings (kL/month/dwelling);
WST = Total water savings (kL/month/dwelling);
WCS = Per dwelling monthly water conservation savings
(kL/month/dwelling);
i = drought year (2003-2009); and
j = month (Jan, ..., Dec).
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As mentioned in Chapter 3 (Section 3.6.1 and 3.6.2), data on ‘per dwelling monthly
metered water consumption’ and water usage price were obtained from Sydney
Water for the study area for the period of January 1997 to September 2011. Rainfall
and temperature data were obtained from Sydney Catchment Authority.
4.4 Results
Water demand modelling was done by the three forms (Raw Data, Semi-Log, LogLog) of multiple regression techniques using the data from 1997 to 2009. Each
model was developed by taking WRS as an independent variable under four different
methods of savings calculation along with rainfall, temperature, water usage price
and WCS as other independent variables. A total of 12 models (3 multiple regression
forms times 4 water savings calculation methods) were developed for both the single
and multiple dwelling sectors separately. Comparative performances of the
developed models for the single dwelling sector are presented in Table 4.2. In the
table, only the results of developed WAM (0.5, 0.5) model have been reported among
the three WAM models (WAM (0.75, 0.25), WAM (0.5, 0.5), WAM (0.25, 0.75)), as WAM (0.5,
0.5)
model found to model the water demand in a better way than the other two WAM
models.
It can be seen in Table 4.2 that the Semi-Log - YBDM model performed better than
all the other models, the AARE and PBIAS values of this model were 2.49% and
0.61%, respectively, the lowest among all the models. Also, NSE and R2 values of
the Semi-Log model were found to be 0.95 and 74.80%, respectively, which were the
highest values among all the developed models, which again signified the superiority
of this model. Regression coefficients associated with few candidate models were
found not to be as per physical intuition, and hence these were not further examined.
For example, in the case of ‘Raw-Data model coupled with WAM method’, the
regression coefficient associated with the independent variable ‘water conservation
savings’ came out as positive, which does not make sense since a water savings
program should reduce the overall water demand. The performance statistics
associated with these candidate models are not reported in Table 4.2.
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Table 4.2 Performance statistics of the developed models for the single dwelling
sector
Water
savings
calculation
method
YBDM
Performance statistics
Raw Data model
Semi-Log model
Log-Log model
AARE (%)
2.60
2.49
2.63
PBIAS (%)
-0.17
0.61
0.78
NSE
0.95
0.95
0.95
R (%)
66.70
74.80
74.00
AARE (%)
3.21
3.55
4.09
PBIAS (%)
0.27
1.45
0.54
NSE
0.93
0.92
0.92
R (%)
66.50
70.80
69.60
AARE (%)
*
*
3.21
PBIAS (%)
*
*
0.50
NSE
*
*
0.94
R (%)
*
*
74.40
AARE (%)
3.11
3.23
5.01
PBIAS (%)
0.21
0.63
0.46
NSE
0.93
0.92
0.88
64.30
69.50
64.60
2
EUM
2
WAM
2
BAM
2
R (%)
Note: Model values for which the signs of the coefficients of the independent variables were found to
be inconsistent with the expected behaviour of the dependent variable are not presented in the table
and marked by “*”
The relatively better multiple regression models under YBDM, EUM, WAM and
BAM method of calculating water savings were found to be Semi-Log, Raw-Data,
Log-Log and Raw-Data, respectively for the single dwelling sector. Their relative
performances in modelling water use during the restriction periods (2003-2008) are
presented in Figures 4.5 (a to d). As can be seen in Figures 4.5 (a to d), water use
during the restrictions periods was simulated better by the Semi-Log model coupled
with YBDM of water savings calculation among the other developed water demand
models.
Performance statistics of the developed models for the multiple dwelling sector are
presented in Table 4.3. Likewise single dwelling sector, results of the models are not
given here for which sign of the coefficients of the independent variables were found
to be inappropriate. As can be seen in Table 4.3, three developed models: the SemiLog model with YBDM, Raw-Data and Semi-Log model coupled with the WAM
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method of savings calculation were found to perform better among all the developed
water demand models. However, AARE of the Semi-Log model coupled with the
YBDM method was found to be 2.38% which was the lowest among the models
indicating its better performance.
The relatively better multiple regression models under the YBDM, EUM, WAM and
BAM method of calculating water savings were found to be in the order of SemiLog, Log-Log, Raw-Data and Log-Log models, respectively for the multiple
dwelling sector. Their relative performances in modelling water use during the
restriction periods (2003-2008) are presented in Figures 4.6 (a to d). As can be seen
in Figures 4.6 (a to d), water use during the restrictions periods were simulated more
accurately by the Semi-Log model coupled with the YBDM method of water savings
calculation among the other developed water demand models.
Water savings estimated by the YBDM method for the single dwelling sector during
the water restriction periods (2003-2009) is presented in Table 4.4. Around 9.13%,
18.10% and 20.09% water savings were achieved during the Levels 1, 2 and 3
restrictions periods, respectively. In Table 4.4, as expected, it can be seen that
Levels 2 and 3 restrictions achieved greater water savings than Level 1 as they were
more stringent in restriction rules. Moreover, water savings achieved during Level 3
restriction period were approximately 2% higher than the one achieved under Level
2. Similar results in relation to incremental effect of Level 3 restriction on Level 2
restriction were reported by Abrams et al. (2012) for the greater Sydney area in
Australia.
Water savings estimated by the YBDM method for the multiple dwelling residential
sector during the drought restrictions periods are presented in Table 4.5. Around
3.90%, 7.62% and 8.79% water savings were achieved during the Levels 1, 2 and 3
restrictions, respectively. The effects of water restriction are higher in the single
dwelling sector than that of multiple dwelling sector. These results of water savings
from water restrictions in both the single and multiple dwelling sector in the Blue
Mountains region indicated that the water restriction programs were quite successful
in reducing water usage to cope up with the limited water supply during the drought
periods.
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Total yearly water consumption (kL)
Observed consumption
CHAPTER 4: Impact of water restriction
Modelled consumption
3500000
NSE = 0.95
2
R = 74.8%
3000000
2500000
2000000
1500000
1000000
500000
2003
2004
2005
2006
Year
2007
2008
a)YBDM-Semi Log
Figure 4.5.a Comparison of modelled versus observed water consumption by the
best model (Semi-Log) for the single dwelling sector during water restriction
periods under “yearly base difference method (YBDM)” of water savings
calculation
Total yearly water consumption (kL)
Observed consumption
Modelled consumption
3500000
NSE = 0.93
2
R = 66.5%
3000000
2500000
2000000
1500000
1000000
500000
2003
2004
2005
2006
2007
2008
Year
b)EUM-Raw data
Figure 4.5.b Comparison of modelled versus observed water consumption by
the best model (Raw-Data) for the single dwelling sector during water
restriction periods under “expected use method (EUM)” of water savings
calculation
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Total yearly water consumtion (kL)
Observed consumption
Modelled consumption
3500000
NSE = 0.94
2
R = 74.4%
3000000
2500000
2000000
1500000
1000000
500000
2003
2004
2005
2006
Year
2007
2008
c)WAM-Log Log
Figure 4.5.c Comparison of modelled versus observed water consumption by the
best model (Log-Log) for the single dwelling sector during water restriction
periods under “weighted average method (WAM)” of water savings calculation
Total yearly water consumption (kL)
Observed consumption
Modelled consumption
3500000
NSE = 0.93
2
R = 64.3%
3000000
2500000
2000000
1500000
1000000
500000
2003
2004
2005
2006
2007
2008
Year
d)BAM-Raw data
Figure 4.5.d Comparison of modelled versus observed water consumption by
the best model (Raw-Data) for the single dwelling sector during water
restrictions periods under “before and after method (BAM)” of water savings
calculation
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Table 4.3 Performance statistics of the developed models for the multiple
dwelling sector
Water
savings
calculation
method
YBDM
EUM
WAM
BAM
Performance
criteria
Raw-Data
model
Semi-Log
model
Log-Log
model
AARE (%)
PBIAS (%)
NSE
R2 (%)
AARE (%)
PBIAS (%)
NSE
R2 (%)
AARE (%)
PBIAS (%)
NSE
R2 (%)
AARE (%)
PBIAS (%)
NSE
R2 (%)
*
*
*
*
*
*
*
*
2.45
0.05
0.920
68.00
*
*
*
*
2.38
0.16
0.920
71.20
*
*
*
*
2.52
0.08
0.917
71.30
*
*
*
*
4.43
0.16
0.84
50.20
4.41
0.10
0.84
50.90
4.49
0.22
0.84
51.00
4.31
0.22
0.85
50.10
Note: Model values for which the signs of the coefficients of the independent variables were found to
be inconsistent with the normal behaviour of the dependent variable are not presented in the table and
marked by “*”
Table 4.4 Percentage of water savings due to water restrictions during the
drought periods (2003-2009) in the single dwelling sector in the Blue Mountains
region
Total water
use (a) (kL)
Conservation
savings (b)
(kL)
Restrictions
savings by
YBDM (c)
(kL)
Restrictions
savings in %
by YBDM
𝒄
(𝒂+𝒃+𝒄)
Level 1 (Oct 03
– May 04)
1895383
68748
197418
9.13
Level 2 (June
04 – May 05)
2557274
112882
590254
18.10
Level 3 (June
05 – June 09)
10024838
741671
2707214
20.09
Level of
restrictions
and periods
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Table 4.5 Percentage of water savings due to water restrictions during the
drought periods (2003-2009) in the multiple dwelling sector in the Blue
Mountains region
Conservation
savings (kL)
Restrictions
savings in kL
by
YBDM
Restrictions
savings in %
by YBDM
𝒄
)
𝒂+𝒃+𝒄
115546
6604
4691
3.90
Level 2 (June
04 – May 05)
165904
10790
13684
7.62
Level 3 (June
05 – June 09)
684593
74636
65962
8.79
Level of
restrictions
and periods
Total water
use (kL)
Level 1 (Oct
03 – May 04)
During the last one year of Level 3 water restrictions (July 08 to June 09), average
water use was found to be 12.37 kL/dwelling/month for the single dwelling sector.
However, during the post restrictions periods, average water usage was found to be
12.44 kL/dwelling/month and 11.60 kL/dwelling/month for the period July 09 to
June 10 and July 10 to June 11, respectively. Comparing with water consumption
during drought periods, it seems that residents have largely chosen to retain the water
use practice established during the drought restriction periods. Similar finding was
reported by Sydney Water in their water consumption and recycling implementation
report (2009-10) that water use was only increased by less than 3% in 2009-10 as
compared to 2008-09 despite the non-existence of mandatory water restrictions.
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Total yearly water consumption (kL)
Observed consumption
CHAPTER 4: Impact of water restriction
Modelled consumption
NSE = 0.92
2
R = 71.2%
190000
170000
150000
130000
110000
90000
70000
50000
2003
2004
2005
2006
Year
2007
2008
a)YBDM-Semi Log
Figure 4.6.a Comparison of modelled versus observed water consumption by the
best model (Semi-Log) under “yearly base difference method (YBDM)” of water
savings calculation for the multiple dwelling sector during water restriction
periods
Total Yearly Water Demand (kL)
Observed consumption
Modelled consumption
NSE = 0.84
2
R = 50.9%
190000
170000
150000
130000
110000
90000
70000
50000
2003
2004
2005
2006
Year
2007
2008
b)EUM-Log Log
Figure 4.6.b Comparison of modelled versus observed water consumption by
the best model (Log-Log) under “expected use method (EUM)” of water savings
calculation for the multiple dwelling sector during water restriction periods
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Observed consumption
CHAPTER 4: Impact of water restriction
Modelled consumption
NSE = 0.92
2
Total Yearly Water Demand (kL)
R = 68.0%
170000
150000
130000
110000
90000
70000
50000
2003
2004
2005
2006
Year
2007
2008
c)WAM-Raw data
Figure 4.6.c Comparison of modelled versus observed water consumption by the
best model (Raw data) under “weighted average method (WAM)” of water
savings calculation for the multiple dwelling sector during water restriction
periods
Total Yearly Water Demand (kL)
Observed consumption
Modelled consumption
NSE = 0.85
2
R = 50.1%
190000
170000
150000
130000
110000
90000
70000
50000
2003
2004
2005
2006
Year
2007
2008
d)BAM-Log Log
Figure 4.6.d Comparison of modelled versus observed water consumption by
the best model (Log-Log) under “before and after method (BAM)” of water
savings calculation for the multiple dwelling sector during water restriction
periods
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As the Semi-Log model with YBDM was found to be the best model for both the
single and multiple dwelling sectors, this was finally adopted to forecast the water
demand for the period of July 2009 to September 2011. Then the forecasted values
were compared with the corresponding observed values to check the model reliability
as a long term water demand forecasting tool. The developed equations of the SemiLog model for the single and multiple dwelling sectors are given in equations 4.12
and 4.13, respectively:
log( Ys )  1.19  0.000103  X 1  0.00393  X 2  0.032  X 3  0.0058  X 4  0.0312  X 5
(4.12)
log( Ym )  0.985  0.000048  X 1  0.00179  X 2  0.0013  X 3  0.0308  X 4  0.0599  X 5
(4.13)
where Ys and Ym
represent per dwelling monthly single and multiple dwelling
demand, respectively, and X1, X 2 , X 3 , X 4 , X 5 represent monthly total rainfall (mm),
monthly mean maximum temperature (0C), water usage price ($/kL), water
conservation
savings
(kL/dwelling/month)
and
water
restriction
savings
(kL/dwelling/month), respectively.
Performance statistics of the Semi-Log model for the forecasted period (2009 to
2011) for both the single and multiple dwelling sectors are given in Table 4.6. The
values of AARE, PBIAS and NSE were found to be in the accepted margin
indicating a very good agreement between the model forecast and observed values.
The comparison of monthly and yearly observed and modelled demand by the SemiLog model is presented in Figures 4.7 and 4.8 for the single dwelling sector,
respectively, and in Figures 4.9 and 4.10 for the multiple dwelling sector,
respectively. The simulated monthly and yearly water demand values for both the
sectors were found to be quite close to the observed values. However, some
variations were observed for few months. These might be attributed to high variation
in temperature and rainfall values and/or changes in water consumption pattern. A
daily demand model might capture these variations more efficiently. However,
average AARE values for all of the predicting months were only 4% and 2.62% for
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the single and multiple dwelling sectors, respectively. This indicates the developed
models are quite accurate and hence can be used for predicting both monthly and
yearly water demand.
Table 4.6 Performance statistics of the developed Semi-Log model for the
forecasting period (July 2009 to September 2011) in the single and multiple
dwelling sectors
Criteria
Single dwelling sector Multiple dwelling sector
AARE (%)
2.05
2.68
PBIAS (%)
2.04
-2.59
NSE
0.989
0.989
Monthly water demand (kL)
250000
200000
150000
100000
Observed water demand
Modelled water demand
50000
Jul
Sep
Nov
Jan
Mar
May
Jul
Sep
Nov
Jan
Mar
May
Jul
Sep
0
2009
2010
Month & Year
2011
Figure 4.7 Comparison of monthly forecasted versus observed water demand by
the Semi-Log model coupled with YBDM for the forecasting period (2009 to
2011) in the single dwelling sector
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Yearly water demand (kL)
Climate change impact on water demand and supply
CHAPTER 4: Impact of water restriction
2500000
2000000
1500000
Observed water demand
1000000
Modelled water demand
500000
0
2009 (July-Dec) 2010 (Jan-Dec) 2011 (Jan-Sept)
Year
Figure 4.8 Comparison of yearly forecasted versus observed water demand by
the Semi-Log model coupled with YBDM for the forecasting period (2009 to
2011) in the single dwelling sector
Monthly water demand (kL)
18000
16000
14000
12000
10000
8000
6000
Observed water demand
4000
Modelled water demand
2000
2009
2010
Year & Month
Sep
Jul
May
Mar
Jan
Sep
Nov
Jul
May
Mar
Jan
Nov
Sep
Jul
0
2011
Figure 4.9 Comparison of monthly forecasted versus observed water demand
values using the Semi-Log model coupled with YBDM for the forecasting period
(2009 to 2011) in the multiple dwelling sector
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Yearly water demand (kL)
200000
150000
100000
Observed water demand
Modelled water demand
50000
0
2009 (July-Dec) 2010 (Jan-Dec) 2011 (Jan-Sept)
Year
Figure 4.10 Comparison of yearly forecasted versus observed water demand
values using the Semi-Log model coupled with YBDM for the forecasting period
(2009 to 2011) in the multiple dwelling sector
The finally accepted model (Semi-Log model) was also tested by the leave-one-out
cross validation procedure. The average AARE values from this validation were
found to be 1.5% and 1.33% for the single and multiple dwelling residential sectors,
respectively, for the period of 2003 to 2010. These AARE values are quite small
indicating the developed models are acceptable. The R2 values were found to be in
the range of 77-79% and 68-73% for the single and multiple dwelling sectors,
respectively. These are also considered to be within an acceptable range. Also, the
regressions coefficients do no vary notably from run to run, which indicate the
models are quite stable. Results of the leave-one-out cross validation of the
developed models are presented in Tables A.4.7 and A.4.8 in Appendix A for the
single and multiple dwelling sectors, respectively.
4.5 Summary
In this chapter, two new methods to simulate water savings (Yearly Base Difference
Method (YBDM) and Weighted Average Method (WAM)) and two existing methods
(Before and After Method (BAM) and Expected Use Method (EUM)) were
investigated in the Blue Mountains region, New South Wales, Australia. Evaluation
of the proposed methods was done by simulating the water use during the water
restriction periods using the water savings calculated by these four methods.
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Modelling was done by the three forms of multiple regression techniques: Raw-Data,
Semi-Log and Log-Log models. It was found that Semi-Log model coupled with the
YBDM method of water savings calculation provided more accurate results than the
other methods and models that were tested for both the single and multiple dwelling
sectors. Moreover, this method provided better simulation results of water use during
the water restrictions periods (2003-2009) in comparison to the other methods. This
YBDM of water savings calculation offers a greater advantage as the relevant
information is readily available to the authorities. Thus, this method can be used by
water authorities to quantify water restriction savings.
Water savings from water restrictions during the Levels 1, 2 and 3 restrictions
periods were found to be 9.13%, 18.10% and 20.09% by the YBDM method,
respectively, for the single dwelling sector. For multiple dwelling residential sectors,
these values were found to be 3.9%, 7.62% and 8.79% by the YBDM method for
Levels 1, 2 and 3 water restrictions, respectively. These results indicate that the water
restrictions were effective in reducing water demand during the drought periods in
the Blue Mountains region, Australia. It was also found that Levels 2 and 3
restrictions were more stringent than Level 1, as expected. However, effect of water
restrictions was found to be lesser in the multiple dwelling sector than that of the
single dwelling sector. This may be attributed to the fact that the higher proportion of
the supplied water is normally used for outdoor purposes in the case of single
dwelling sector and the water use restrictions mainly target outdoor water use.
The potential of water restriction savings (WRS) and water conservation savings
(WCS) variables to be included as continuous independent variables with numerical
representation in the water demand forecasting model was also investigated in this
study. Quantitative measurement of monthly WRS and WCS were taken as two
separate independent variables along with rainfall, temperature and water price
variables in the water demand forecasting models. The model was used to forecast
water demand for the period of July 2009 to September 2011. It was found that the
developed models were capable of forecasting monthly and yearly water demand
with a high degree of accuracy for both the single and multiple dwelling sectors in
the Blue Mountains region in Australia, which can be used to forecast long term
water demand.
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CHAPTER 5: Water demand forecasting
CHAPTER 5
PROBABILISTIC FORECASTING OF LONG
TERM URBAN WATER DEMAND
This chapter is partial reproduction of the following refereed journal paper:
Haque, M.M.1, Rahman, A.1, Hagare, D.1 and Kibria, G.2 2014. Probabilistic
water demand forecasting using projected climatic data for Blue Mountains
Water Supply System in Australia. Water Resources Management, 28(7),
1959-1971. ERA 2010 ranking: B, Impact factor: 2.46.
1
School of Computing, Engineering and Mathematics, University of Western
Sydney, Australia
2
Sydney Catchment Authority, Penrith, Australia
Abstract
Long term water demand forecasting is needed for the efficient planning and
management of water supply systems. A Monte Carlo simulation approach is
adopted in this chapter to quantify the uncertainties in long term water demand
prediction due to the stochastic nature of independent variables and their correlation
structures. Three future climatic scenarios (A1B, A2 and B1) and four different
levels of water restrictions are considered in the demand forecasting for single and
multiple dwelling sectors in the Blue Mountains region, Australia. It is found that
future water demand in 2040 would rise by 2% to 33% (median rise by 11%) and
72% to 94% (median rise by 84%) for the single and multiple dwelling sectors,
respectively under different climatic and water restriction scenarios in comparison to
water demand in 2010 (base year). From the 90% confidence intervals of the
forecasted values, it is found that the uncertainty band varies about 11 to 13% and
6% around the median forecasted demand for the single and multiple dwelling
sectors, respectively. It is found that the increase in future water demand is not
notably affected by the projected climatic conditions but by an increase in the
dwelling numbers in future i.e. an increase in the total population. The modelling
approach presented in this paper can provide realistic scenarios of forecasted water
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demands which would assist water authorities in devising appropriate management
strategies to enhance the resilience of the water supply systems. The developed
method can be adapted to other water supply systems in Australia and other
countries.
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5.1 Overview
Chapter 4 has discussed the impact of water restriction on urban water demand and
developed a methodology to estimate water savings from water restriction. This
chapter estimates a range of long term water demands in the Blue Mountains region
for the period of 2015 to 2040 in a probabilistic fashion. It commences with
presenting the probabilistic method adopted to forecast long term water demand
considering the stochastic nature of the independent variables and their correlation
structures. It is followed by the results and discussion, and then summary of the
findings.
5.2 Methodology
In this chapter, future water demand for the Blue Mountains water supply system
(BMWSS) was estimated for 2015–2040 time period for both the single and multiple
dwelling sectors by adopting a Monte Carlo simulation technique. Monte Carlo
simulation is a well-established method which plays an important role in many
scientific applications and has been widely used to evaluate overall uncertainty in
modelling and forecasting tasks (Rahman et al. 2002, Nash and Hannah 2011). It is a
method for iteratively evaluating a deterministic model using sets of random
numbers as inputs and producing a range of possible outcomes allowing for better
decision making under uncertainty.
Using three different future climatic scenarios (A1B, A2 and B1) (discussed in
Chapter 2 in Section 2.7.1.3) and four possible water restriction conditions (No water
restriction, Level 1, Level 2 and Level 3) (discussed in Chapter 2 in Section 2.5), 12
possible water demand scenarios were simulated. In the generated 12 scenarios,
water usage price and water conservation savings variables were kept the same. The
uncertainty in the forecasted demand was expressed by developing 90% confidence
intervals from the generated 10,000 forecasts. From the 90% confidence intervals, it
can be interpreted that 90% of all the possible forecasts would fall within this
interval for a given forecast year. Finally, the forecasted demands were compared
with the observed water demand in 2010 (considered as base water demand in this
chapter) to get the estimates of relative changes. In this chapter, estimation of future
water demand scenarios in a probabilistic way was done in four steps:
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1) First, a deterministic long term water demand forecasting model was
developed for both the single and multiple dwelling sectors,
separately.
2) Then, the plausible future values of the independent variables were
estimated.
3) Afterwards, a multivariate normal distribution (MVN) (described in
Section 5.2.1) was adopted to generate stochastic independent
variables data maintaining the correlation structure among the
independent variables. In applying the MVN, it was assumed that
each of the independent variables data can be described by a
univariate normal distribution. The pair-wise correlations of the
independent variables to be used in the MVN were obtained from the
observed independent variables data set.
4) Thereafter, a Monte Carlo simulation was carried out to obtain the
distribution of total water demand for the forecasted period (2015–
2040). A total of 10,000 simulations per scenario were undertaken.
The simulation was carried out in two steps: (i) first, per dwelling
monthly water demands (10,000 values) were estimated from the
generated independent variables; and (ii) then, estimated per dwelling
monthly demands were multiplied by the projected values of the
monthly dwellings (10,000 values) to get the monthly demands.
The methodology developed to estimate future water demand scenarios using a
probabilistic method is illustrated in Figure 5.1. The deterministic models for both
the single and multiple dwelling sectors were developed and discussed in Chapter 4,
which were the Semi-Log multiple regression models. The independent variables
were monthly total rainfall (mm), monthly mean maximum temperature (0C), water
usage price ($/kL), water conservation savings (kL/dwelling/month) and water
restriction savings (kL/dwelling/month) and the dependent variable was per dwelling
monthly water consumption (kL/dwelling/month) in the developed deterministic
water demand forecasting model (discussed in Chapter 4 in Section 4.5).
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In order to forecast future water demand, the plausible future values of the
independent variables are needed. In this chapter, population growth is considered in
the modelling through the growth in the number of dwellings in future. It is assumed
that lifestyle of residents would remain unchanged in the forecast period. Number of
single and multiple dwellings were estimated for the period of 2015–2040 in the
BMWSS based on the monthly growth rate found in the dwellings data during the
period 1997-2011 (discussed in Chapter 3 in Section 3.6.3). As mentioned in Chapter
3 in Sections 3.6.2 and 3.6.4, the future values of water usage price and number of
participating dwelling in water conservation programs were estimated based on the
growth rate found in the observed data. Thereafter, per dwelling monthly water
savings from water conservation programs were estimated by the method described
in Chapter 4 (Section 4.4). In this study, four different water restriction conditions
were considered being Level 1, Level 2, Level 3 and no restrictions in the water
demand forecasting. Per dwelling water savings due to imposed water restrictions
were estimated by the method mentioned in Chapter 4 (Section 4.4). The average per
dwelling water restriction savings for the single and multiple dwelling sectors for
different levels of water restrictions were used in the forecasting period.
Projections of future climate are needed to estimate future water demand under
various plausible climatic conditions. Due to highly uncertain future emission
growth, a series of potential greenhouse gas emission scenarios were developed by
the Intergovernmental Panel on Climate Change (IPCC) (described in Chapter 2 in
Section 2.7.1.3). In this study, future water demand values were estimated under
three future climate scenarios being B1, A1B and A2, which represent low, medium
and high future emission scenarios, respectively. Climate projections by CSIRO
Mark 3.0 global climate model (GCM) were used in this study. The statistically
downscaled temperature and rainfall data under three emission scenarios were taken
as input to the water demand forecasting model to estimate the future water demand
scenarios. These downscaled future climatic data of Katoomba weather station were
obtained from Sydney Catchment Authority for the period of 2021 to 2040. In this
chapter, water demand was forecasted by the Monte Carlo simulation technique for
the period 2021 to 2040. Projection of water demand for 2015 was estimated by
interpolation method using the observed demand from 2000 to 2010 and predicted
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CHAPTER 5: Water demand forecasting
demand from 2021 to 2040, because the future meteorological data during 2014 to
2020 were not available during the study.
Develop a long term deterministic water demand forecasting
model
Estimate plausible future values of the predictor variables
Generate 12 scenarios using 3 future climate conditions (B1, A1B and A2) and 4 (No,
L1, L2 and L3) water restriction conditions
(B1-No; B1-L1; B1-L2; B1-L3; A1B-No; A1B-L1; A1B-L2; A1B-L3; A2-No; A2-L1;
A2-L2 and A2-L3 )
Apply multivariate normal distribution to generate stochastic
predictor variables data for each scenario
Initiate Monte Carlo simulation to generate 10,000 per
dwelling demand forecasts for each scenario
Estimate monthly demands by multiplying generated 10,000
per dwelling demand values with the projected values of
monthly dwelling (10,000 values)
Develop 90% confidence intervals from the generated 10,000
demand forecasts
Figure 5.1 Framework of estimating future water demand scenarios adopting a
probabilistic method
5.2.1 Multivariate normal distribution
The multivariate normal distribution is a generalization of the one dimensional
(univariate) normal distribution to higher dimensions (i.e. two or more variables).
One of the key characteristics of the multivariate normal distribution is that it can
capture correlations between different random variables which is a crucial factor for
many simulations. It is a distribution for random vectors of correlated variables when
every linear combination of its components has a univariate normal distribution. The
multivariate normal distribution is often used to model the correlations among the
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CHAPTER 5: Water demand forecasting
stochastic time series and can be adopted to explore the effects of these correlations
in Monte Carlo simulations (Thomas and Luk 2008).
The multivariate normal distribution has 𝑁 normal distributions (or 𝑁 dimensions)
within itself. It is parameterized with two elements: a mean vector, 𝜇, and a variancecovariance matrix,  . The diagonal elements of the matrix,  contains the variances
for each variable, while the off-diagonal elements of  contain the covariances
between the variables.
If 𝑥 𝜖 𝑅 be a random variable, the univariate normal distribution 𝑥 ~ 𝑁(𝜇, 𝜎 2 ) can
be described by its Probability Density Function (PDF):
1
𝑝(𝑥) = √2𝜋𝜎2 𝑒
−
(𝑥−𝜇)2
2𝜎2
(5.1)
where 𝑝(𝑥) is the probability density function of 𝑥 , 𝜇 and 𝜎 2 are the mean and
variance of 𝑥, respectively.
In the case of a multivariate normal distribution, let 𝑥 𝜖 𝑅 𝑁 , then the distribution
x ~ N ( , ) can be described by the PDF of a vector of length N:
p ( x) 
1
(2 ) N / 2 
1/ 2
e

( x   )T  1 ( x   )
2
(5.2)
where 𝑝(𝑥) is the probability density function of 𝑥, 𝑥 is the vector of 𝑥𝑁 values, 𝜇 is
the vector of the means of the 𝑁 distributions, 𝑇 represents the transpose of the
matrix, the -1 represents the inverse of the matrix,  denotes the variance-covariance
matrix and  denotes the determinants of the variance-covariance matrix.
Covariance for two variables 𝑥𝑖 and 𝑥𝑗 can be defined as:
𝐶𝑜𝑣(𝑥𝑖 , 𝑥𝑗 ) = 𝜎𝑖𝑗 = 𝜌𝑖𝑗 𝜎𝑖 𝜎𝑗
(5.3)
where 𝜎 = √𝑣𝑎𝑟(𝑥) and 𝜌𝑖𝑗 is the correlation coefficients between 𝑥𝑖 and 𝑥𝑗 .
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Subsequently, the variance-covariance matrix is defined as follows:
 12

  21  2 1

...

  N 1 N  1
12 1 2
...
1N  1 N 
 22
...
 2 N  2 N 
 N 2 N  2
...
N2





(5.4)
The required multivariate normal random samples 𝑥𝑁 are generated by multiplying a
vector containing univariate normal random numbers, 𝑟~𝑁(0,1) with the lower
triangular matrix 𝐴 where   AAT , to achieve the desired correlation structure. The
mean of the components are then adjusted by adding the vector. Hence, the
generation of the 𝑁 -th vector 𝑥𝑁 can be calculated as follows (Barr and Slezak
1972):
𝑥𝑁 = 𝐴𝑟𝑁 + 𝜇
(5.5)
After expanding equation 5.5, the structure of the computation becomes as follows:
 x1  a1,1
 x  a
 2   2,1
.  .
 
.  .
.  .
  
 xN  a N ,1
 r1   1 

a2, 2 ... 0  r2    2 
   

.  . 
.
.
  
.
.  .  . 
.
.  .  . 
   
a N , 2 a N , N  rN    N 
0 ... 0
(5.6)
5.3 Results
5.3.1 Water demand forecasting results in the single dwelling sector
The 50th percentile of the forecasted water demand from the Monte Carlo simulation
is presented in Table 5.1 for the single dwelling sector. As can be seen in Table 5.1,
for A1B climatic scenario and under different restriction levels, forecasted water
demands vary from 2.66 to 3.39 GL/year in 2040. In comparison to water demand in
2010 (base year) (2.55 GL/year), the water demand is expected to rise by 4 to 33% in
2040 under A1B climatic scenario and different restriction levels (i.e. under no water
restriction and Levels 1, 2 & 3 water restrictions conditions water demand is
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CHAPTER 5: Water demand forecasting
expected to rise by 33, 18, 7 and 4%). For A2 climatic scenario under different
restriction levels, forecasted water demands would be in the range of 2.63 and 3.34
GL/year in 2040, which is 3 to 31% rise as compared to the base year. The water
demand is expected to rise by 2 to 30% in 2040 under B1 climatic scenario and
different restriction levels as compared to the water demand in 2010 as forecasted
water demand ranges 2.60 to 3.31 GL/year. Across the twelve scenarios, the rise in
water demand in 2040 was found to be in the range of 2 to 33% with a median rise of
11% in comparison to water demand in 2010.
Though water demand characteristics generally vary from city to city across different
countries, the results obtained in this study are found to be quite comparable with
other similar studies. For example, Babel et al. (2007) predicted a 20% increase in
water demand in Kathmandu, Nepal by 2015 as compared with 2001. Mohamed and
Al-Mualla (2010) predicted that water demand would rise by 50% in 2020 in Umm
Al-Quwain, UAE. Dziegielewski and Chowdhury (2011) found that water demand
would rise by 36–54% in 2050 in North-eastern Illinois, USA.
As can be seen in Table 5.1, the effect of water restriction on future demand is rather
more important than various climatic scenarios. For example, the projected water
demands in 2040 were found to be 3.39, 3.34 and 3.31 GL/year for A1B, A2 and B1
climatic scenarios, respectively under no water restriction (representing 29 to 33%
increase in forecasted demands as compared with the base year, 2010). On the other
hand, the forecasted water demands in 2040 were found to be 3.39, 3.00, 2.72 and
2.66 GL/year for no restriction and Levels 1, 2 & 3 restrictions, respectively under
A1B climatic scenarios (representing 4 to 33% increase in the forecasted demands as
compared with the base year 2010). Hence, it can be stated that the variations in the
forecasted water demands are much higher due to the different levels of water
restrictions than those for different climatic scenarios. A similar result was noted by
Khatri and Vairavamoorthy (2009) who showed that future climatic scenarios would
have a minimal impact on future water demand in Birmingham, UK. Also, Slavíková
et al. (2013) found that the future climatic scenarios would not have any significant
effect in explaining water demand variability in two municipalities located in Central
Bohemia, Czech Republic.
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Table 5.1 50th percentile (most expected value) of the forecasted water demand
values for the single dwelling sector in the Blue Mountains region in the period
of 2015 – 2040 under twelve water demand scenarios
Climate scenario: A1B (50th percentile water demand in GL/year)
No Restriction
Level 1 Level 2
Level 3
2015
2.75
2.59
2.47
2.44
2021
3.19
2.83
2.57
2.51
2025
3.23
2.86
2.6
2.54
2030
3.31
2.93
2.66
2.6
2035
3.23
2.87
2.6
2.54
2040
3.39
No Restriction
2015
2.77
2.61
2.49
2.46
2021
3.25
2.88
2.61
2.55
2025
3.27
2.9
2.63
2.57
2030
3.24
2.88
2.61
2.55
2035
3.34
2.96
2.69
2.63
2040
3.34
No Restriction
2015
2.77
2.6
2.48
2.45
2021
3.24
2.87
2.61
2.55
2025
3.26
2.89
2.62
2.56
2030
3.3
2.93
2.65
2.59
2035
3.32
2.95
2.67
2.61
2040
3.31
2.94
2.66
2.6
Climate scenario: A2
Climate scenario: B1
3
2.72
Level 1 Level 2
2.97
2.69
Level 1 Level 2
2.66
Level 3
2.63
Level 3
The 90% confidence intervals of forecasted total yearly water demands for A1B
climatic scenario for the single dwelling sector under different restriction levels are
presented in Figures 5.2 (a-d). Similar results were obtained for the A2 and B1
climatic scenario that are presented in Figures B.5.1 (a-d) and B.5.2 (a-d) in
Appendix B. As can be seen in Figures 5.2 (a-d), there is 90% possibility that water
demands would be in the range of 2.8 GL to 3.2 GL, 2.6 GL to 2.9 GL, 2.5 GL to 2.8
GL and 3.2 GL to 3.6 GL in 2040 under Levels 1, 2 & 3 and no restriction
conditions, respectively for A1B climatic scenario. From the forecasted results of all
of the 12 scenarios, uncertainty bands were found to be in the range of 0.3 to 0.4
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GL/year in 2040, which represent 11 to 13% variation around the median forecasted
demand. On the contrary, the deterministic model predicted a single water demand
value. For example, the forecasted water demands in 2040 from the deterministic
models were found to be 3.05, 2.98 and 2.95 GL/year under Level 1 restriction and
A1B, A2 & B1 climatic conditions (representing median 17% increase from the base
year, 2010). Under the same conditions, the Monte Carlo simulation predicted an
increase in water demand in 2040 by 9 to 25% as opposed to a fixed increase by 17%
by the deterministic model. Since the Monte Carlo simulation accounts for the
stochastic nature of the independent variables and their correlation structures, it
provides a more realistic demand prediction under different plausible conditions that
might arise in future.
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
50th Percentile
2400
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-No Restriction
Figure 5.2(a) 90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and no water
restriction condition for the single dwelling sector in the Blue Mountains region
(grey area in the plot refers to the 90% confidence band)
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Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
50th Percentile
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-Level 1
Figure 5.2(b) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 1 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
50th Percentile
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-Level 2
Figure 5.2(c) 90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and Level 2
water restriction condition for the single dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
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Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
2100
50th Percentile
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-Level 3
Figure 5.2(d) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 3 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
It is also found that the highest forecasted value of water demand for single dwelling
sector is 3.6 GL in 2040 under no water restriction condition and A1B climatic
scenario. The lowest forecasted value is 2.4 GL in 2040 under Level 3 restrictions
and B1 climatic scenario. As with more strict water restriction, the residents will tend
to conserve more water, and hence smaller value of forecasted water demand was
obtained under Level 3 water restriction. Moreover, B1 climatic scenario is generally
considered to be low impact emission scenario by the IPCC that has been reflected in
the lowest value of forecasted demand.
5.3.2 Water demand forecasting results in the multiple dwelling sector
The 50th percentile of the forecasted water demands in the multiple dwelling sector
from the Monte Carlo simulation under twelve water demand scenarios are presented
in Table 5.2. As can be seen in Table 5.2, forecasted water demands vary 0.31 to
0.35 GL/year in 2040 for A1B climatic scenario under different restriction levels. For
both the A2 and B1 climatic scenarios, forecasted water demand in 2040 also falls in
the range of 0.31 and 0.35 GL/year. In comparison to water demand in 2010 (the
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base year) (0.18 GL/year), the water demand is expected to rise by 72 to 94% in
2040 for the twelve scenarios with a median rise of 84%. As can be seen in Table
5.2, there is no remarkable variation in the forecasted values for all of the scenarios
in any year for multiple dwelling sector since water demand of this sector is very low
in comparison to water demand of single dwelling sector. Moreover, multiple
dwellings normally consume less water in outdoor purpose due to smaller outdoor
area therefore effect of climate variables are likely to be less in this sector than single
dwelling sector. In addition, effect of water restriction is less in the multiple dwelling
sector than single dwelling sector as discussed in Chapter 4 (Section 4.4).
The 90% confidence intervals of forecasted total yearly water demand for A1B
climatic scenario under different restriction levels for multiple dwelling sector are
presented in Figures 5.3 (a-d). Similar results were obtained for other scenarios; the
graphs of confidence intervals for A2 and B1 climatic scenarios under different
restriction levels are presented in Figures B.5.3 (a-d) and B.5.4 (a-d) in Appendix B.
As can be seen in Figures 5.3 (a-d), there is 90% possibility that water demands
would be in between 323 and 344 ML/year, 308 and 328 ML/year, 304 and 323
ML/year, and 340 and 362ML/year in 2040 under Level 1, Level 2, Level 3 and no
restriction conditions, respectively for A1B climatic scenario. From the forecasted
results of the 12 water demand scenarios, uncertainty bands were found to be about
20 ML/year in 2040, which represent 6% variation around the median forecasted
demand. From the confidence intervals of all the scenarios, the highest forecasted
value of water demand for multiple dwelling sector was found to be 362 ML/year in
2040 under no water restriction condition and A1B climatic scenario, and the lowest
forecasted value were found to be 300 ML/year in 2040 under Level 3 restriction and
B1 climatic scenario.
The estimated increases in the forecasted total monthly water demand for both the
single and multiple dwelling sectors were found to be mainly associated with an
increase in the dwelling numbers in future i.e. the increase in population. For
example, 50th percentile of the forecasted per dwelling monthly water demands in
2040 (average across the twelve months) under Level 1 water restriction and A1B,
A2 and B1 climatic scenarios were found to be 11.73, 11.59 and 11.48
kL/dwelling/month for single dwelling sector, representing an average across the
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three scenarios of 11.60 kL/dwelling/month. In comparison to the observed average
water demand (11.65 kL/dwelling/month) in 2010, these results indicate no increase
in per dwelling monthly demand in 2040.
Table 5.2 50th percentile (most expected value) of the forecasted water demand
values for the multiple dwelling sector in the Blue Mountains region in the
period of 2015 – 2040 under twelve water demand scenarios
Climate scenario: A1B (50th percentile water demand in GL/year)
No Restriction
Level 3
2015
0.20
0.20
0.19
0.19
2021
0.24
0.23
0.22
0.21
2025
0.26
0.24
0.23
0.23
2030
0.29
0.27
0.26
0.26
2035
0.31
0.30
0.28
0.28
2040
0.35
No Restriction
2015
0.21
0.20
0.19
0.19
2021
0.24
0.23
0.22
0.21
2025
0.26
0.25
0.23
0.23
2030
0.28
0.27
0.26
0.25
2035
0.32
0.30
0.29
0.28
2040
0.35
No Restriction
2015
0.20
0.20
0.19
0.19
2021
0.24
0.23
0.22
0.21
2025
0.26
0.25
0.23
0.23
2030
0.29
0.27
0.26
0.26
2035
0.32
0.30
0.29
0.28
2040
0.35
0.33
0.31
0.31
Climate scenario: A2
Climate scenario: B1
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Level 1 Level 2
0.33
0.32
Level 1 Level 2
0.33
0.32
Level 1 Level 2
0.31
Level 3
0.31
Level 3
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Yearly Water Demand in ML/year
400
350
300
50th Percentile
250
200
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-No Restriction
Figure 5.3(a) 90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and no water
restriction condition for the multiple dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML/year
400
350
300
50th Percentile
250
200
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-Level 1
Figure 5.3(b) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 1 water restriction condition for the multiple dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
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Yearly Water Demand in ML
400
350
300
50th Percentile
250
200
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-Level 2
Figure 5.3(c) 90% confidence intervals and 50th percentile of the forecasted total
yearly water demands from 2015 to 2040 for A1B climate scenario and Level 2
water restriction condition for the multiple dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML
400
350
300
50th Percentile
250
200
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A1B-Level 3
Figure 5.3(d) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A1B climate scenario and
Level 3 water restriction condition for the multiple dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
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However, total water demand in single dwelling sector in 2040 was found to be about
3 GL/year and total observed water demand in 2010 was found to be 2.55 GL/year.
These results indicate about 17.6% increase in water demand in 2040 in comparison
to 2010 water demand value. This increments is likely to be associated with the
increment in dwelling number as in 2010 total number of single dwelling was
199816 and the forecasted total single dwelling number in 2040 was found to be
255984 (based on the growth rate found in the observed dwelling data as discussed in
Chapter 3 in Section 3.6.3), representing an increase of about 28%. In addition, from
the demand equations (4.12 and 4.13) in Chapter 4, it was found that rainfall had a
decreasing effect on the demand, temperature had an increasing effect, and water
usage price, water conservation and water restrictions had decreasing effects on
water demand. This result indicate that future water demand in the BMWSS would
not be significantly affected by the projected climatic conditions as the increasing
effects of the climatic variables on water demand are likely to be minimized by the
decreasing effects of increasing water usage price and savings variables (Impact of
climate variables on water demand is presented in Chapter 6 in more details).
As discussed in the earlier, median rise in water demand is expected to be around
11% and 84% for the single and multiple dwelling sectors, respectively in
comparison to water demand in 2010. These results indicate that growth rate in water
demand in the multiple dwelling sector is much higher than that of single dwelling.
This higher demand growth rate in the multiple dwelling sector is happened due to
the higher dwelling number growth rate found in the multiple dwelling sector than
the single dwelling sector. In 2040, the forecasted total number of multiple dwelling
was found to be 38,547 (based on the growth rate found in the observed dwelling
data as discussed in Chapter 3 in Section 3.6.3), and the total observed multiple
dwelling numbers was 20,406. These values represent an increase of dwelling
number by 89% in 2040 in comparison to 2010. On the other hand, growth in single
dwelling sector was found to be 28% in 2040 in comparison to 2010 as mentioned
earlier, which is quite small in comparison to the growth rate of multiple dwelling
sector. However, the composition of water consumption in single and multiple
dwelling sectors was found to remain same as found in the water consumption data
1997-2011 (i.e. 94% and 6% water consumption in single and multiple dwelling
sectors, respectively as mentioned in Chapter 3 in Section 3.6.1). For example, water
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demand in single and multiple dwelling sector was found to be 3.39 GL/year and
0.35 GL/year in 2040 under no restriction and A1B climate conditions (Tables 5.1
and 5.2). These values indicate that single and multiple dwelling sector would
consume around 91% and 9% of total residential water in 2040, respectively, which
is quite comparable to the composition in 2010.
5.4 Summary
This chapter develops a methodology to incorporate uncertainty in the independent
variables and various climatic scenarios explicitly into the water demand forecasting
model using a Monte Carlo simulation technique. The method is applied to the Blue
Mountains water supply system in New South Wales, Australia. Using five
independent variables, three different future climatic scenarios (i.e. A1B, A2 and B1)
and four different water restriction conditions (Levels 1, 2 & 3 and no restriction),
twelve different plausible scenarios are generated. It is found that the median water
demand for the Blue Mountains water supply system in 2040 is expected to rise by 2
to 33%, and 72 to 94% for the single and multiple dwelling sectors, respectively in
comparison to water demand in 2010 (base year). It is also found that growth rate of
water demand in multiple dwelling sector is much higher than the single dwelling
sector as growth of multiple dwelling sector is higher than the single dwelling sector
in the study area. Forecasted water demand values are found to be the highest during
no water restriction condition and the lowest during Level 3 water restriction as
expected.
It is found that the effects of different levels of water restriction conditions in water
demand forecasting are more significant than the effects of various climatic
scenarios. It is also found that the increase in future water demand is not notably
affected by the projected climatic conditions but by the increase in the dwelling
numbers in future i.e. the increase in the total population. From the 90% confidence
intervals of the forecasted values, it is found that the uncertainty band varies about 11
to 13% and 6% around the median forecasted demand for single and multiple
dwelling sectors, respectively. The highest and lowest forecasted water demands for
both the single and multiple dwelling sector are found to be for A1B - no restriction
and B1 - Level 3 restriction scenario, respectively.
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The probabilistic modelling approach considering the correlation structures of the
independent variables presented in this chapter can provide a range of realistic
scenarios of forecasted water demands as opposed to a single forecast value by the
deterministic model. These ranges of realistic water demand forecasts would assist
water authorities in devising appropriate management strategies to enhance the
resilience of the water supply systems. The developed method can be adapted to
other water supply systems in Australia and other countries.
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CHAPTER 6
IMPACT OF CLIMATE CHANGE ON URBAN
WATER DEMAND
This chapter is partial reproduction of the following two refereed journal
papers:
Paper 1
Haque, M.M.1, Egodawatta, P.2, Rahman, A.1 and Goonetilleke, A.2 2014.
Assessing the significance of climate and community factors on urban water
demand, Urban Water Journal, under review (ERA 2010 ranking: C, Impact
factor: 0.91).
1
School of Computing, Engineering and Mathematics, University of Western
Sydney, Australia
2
Science and Engineering Faculty, Queensland University of Technology, Australia
Paper 2
Haque, M.M.1, Rahman, A.1, Hagare, D.1 and Kibria, G.2 2014. Impact of
climate change on future water demand: A case study for the Blue Mountains
Water Supply System, Water, 41(1), 57 - 62. (ERA 2010 ranking: C).
1
School of Computing, Engineering and Mathematics, University of Western
Sydney, Australia
2
Sydney Catchment Authority, Penrith, Australia
Abstract
Ensuring adequate water supply to urban areas is a challenging task due to factors
such as rapid urban growth, increasing water demand and climate change related
impacts. In developing a sustainable water supply system, it is important to identify
the dominant water demand factors for any given water supply scheme. This chapter
applies principal component analysis to identify the factors that dominate residential
water demand using the Blue Mountains Water Supply System in New South Wales
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(NSW), Australia. The results show that the influence of community factors (e.g. use
of water efficient appliances and rainwater tanks) on water demand are among the
most significant. The result also confirmed that the community programs and water
pricing policy together can play a noticeable role in reducing the overall water
demand. On the other hand, influence of rainfall on water demand is found to be very
limited, while temperature shows some degree of correlation with water demand. The
results also demonstrate that the water demand is mostly influenced by community
factors rather than the climate factors.
This chapter also evaluates the impact of climate change on residential water demand
in the Blue Mountains Water Supply System in NSW, Australia. Forecasting is done
by a long term water demand forecasting model developed using a multiple linear
regression technique for the period of 2021–2040. Here, three climatic scenarios are
considered during the water demand forecasting including B1 (low), A1B (medium)
and A2 (high) scenarios. The results suggest that the future climate will have a minor
impact on future water demand in the study area. However, water demand
projections show an increasing trend, which is mainly attributed to the rise in the
number of households (dwellings) due to the increasing population in the area.
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6.1 Overview
Chapter 5 has developed a probabilistic long term water demand forecasting model
to incorporate stochastic nature of the independent variables and their correlation
structures in the water demand forecasting. This chapter evaluates the relative
influence of climate variables on urban water demand and assesses the impacts of
plausible climate change on future water demand. It commences with presenting the
principal component analysis adopted to evaluate the relative influence of the
governing variables on urban water demand. It then presents the methods adopted to
quantify the impact of climate change on future water demand. This is followed by
the results and discussion, and then summary of the findings. This chapter is based
on two journal papers, paper 1 is linked to evaluate the relative influences of the
climate variables on water demand and paper 2 is linked to assess the impacts of
climate change on future water demand.
6.2 Methodology
In this chapter, both qualitative and quantitative analyses were conducted to estimate
the climate change impact on urban water demand. Qualitative analysis was
conducted to evaluate the relative importance of the climate variables on urban water
demand adopting principal component analysis (PCA). Quantitative assessment was
conducted to estimate the impact of climate change on future water demand by
forecasting water demand using projected climate variables by CSIRO Mk. 3 global
climate model (GCM) and three different hypothetical climate change scenarios.
6.2.1 Principal component analysis
PCA is a popular pattern recognition technique which is capable of illustrating
correlations among variables and clusters of objects in a graphical format. The PCA
transforms the original data set of n factors to a new data set containing n number of
orthogonal principal components (PCs). The PCs are linear functions of the original
factors. Though the number of PCs is same as original variables, PCA transforms
PCs such that most of the useful data variances are explained by the first few PCs.
Hence, the first few PCs can be selected for interpretations reducing the number of
variables without losing much information contained in the original data set (Mahbub
et al. 2010).
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When a PCA is applied to a data matrix, it generates a loading value for each of the
variables and a score for each object on the PCs. Therefore, data can be presented
graphically by plotting the loading value in the form of a vector and the score in the
form of a data point. This kind of plot is generally termed as a “biplot” (Gabriel
1971, Gabriel and Odoroff 1990). In this chapter, PCA was conducted on the data
matrix containing the water demand variables: monthly total rainfall, numbers of rain
days in a month, monthly mean maximum temperature, monthly total evaporation,
monthly mean global solar exposure, water conservation savings, water restriction
savings and water price (Table 6.1). The variables are represented by the vectors,
and the consumption months are represented by the points in the resulting biplot.
Degree of correlation between the variables can be explained by the angle between
the vectors and the objects with similar characteristics can be indicated by the
clustered data points in a biplot. A small angle between two vectors indicates that the
variables are highly correlated with each other, and they represent similar behaviour.
Two vectors with opposite direction indicate that they are highly correlated in an
inverse way. If the two vectors are perpendicular, they are considered as independent
to each other (i.e. no correlation between them) (Gardner et al. 2005, Blasius et al.
2009). In this study, statistiXL (Robert and Wither 2007) software was used to
perform the PCA.
6.2.2 Impact of climate change on urban water demand
In this chapter, assessment of the impacts of climate change on urban water demand
was conducted in four steps as outlined below and illustrated in Figure 6.1.
1. First, a set of future climate scenarios were developed to be taken as input
into the water demand forecasting models. The generated future climate
scenarios were as below:
a. Three future climate scenarios projected by the CSIRO Mk. 3
GCM (discussed in Chapter 3 in Section 3.6.5) under three
emission scenarios (A1B, A2 and B1).
b. A current climate scenario which was obtained from the average
of monthly rainfall and monthly maximum temperature during
the period of 1960 – 2012.
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c. Three hypothetical future climate scenarios: (i) 10C rise in
temperature and 10% decrease in rainfall, (ii) 20C rise in
temperature and 20% decrease in rainfall, (iii) 30C rise in
temperature and 30% decrease in rainfall from current climate
conditions.
2. Afterwards, future water demands were estimated in the single and
multiple dwelling sector separately for the period of 2021 – 2040 using
the water demand forecasting models developed in Chapter 4 (i.e. SemiLog multiple regression model). In the water demand forecasting models,
generated future climate scenarios were taken as input along with water
price and water conservation savings variables. Water demand was
forecasted under no restriction conditions.
3. Thereafter, projections of water demand under generated future climate
scenarios were compared with the projection of water demand under
current climate conditions to estimate the relative impacts of climate
change on urban water demand.
Water demand model
(Developed in Ch.4)
Future values of predictor variables
(Estimated in Ch.3)
Forecast water demand using
projected climate variables by
CSIRO Mk. 3 Global Climate
Model under three emission
scenarios (A1B, A2 and B1)
Forecast water demand using
current climate (average of
1960-2010)
(Conducted in this chapter)
(Conducted in this chapter)
Forecast water demand using
three hypothetical climate
change scenarios: (i) 10C T rise;
10 % R decrease, (ii) 20C T rise;
20% R decrease, (iii) 30C T rise;
30% R decrease
(Conducted in this chapter)
Estimate relative changes in forecasted
water demand due to climate change by
comparing forecasted water demand under
different scenarios with the forecasted
demand under current climate condition
(Conducted in this chapter)
Figure 6.1 Framework of the climate change impact assessment on urban water
demand (‘T’ refers to monthly maximum temperature and ‘R’ refers to
monthly total rainfall)
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Table 6.1 Description of the dependent and independent variables used in the
Principal Component Analysis (PCA)
Variables
Description
Unit
Dependent variable
PDWC
Per dwelling water consumption in a month
kL/dwelling/month
Independent variables
RF
Monthly total rainfall
mm
NRD
Number of rain days in a month
Day
MMT
Monthly mean maximum temperature
EVP
Monthly total evaporation
mm
SE
Monthly mean global solar exposure
MJ/m2
WCS
Water conservation savings
kL/dwelling/month
WRS
Water restriction savings
kL/dwelling/month
WP
Water price
AUD/kL
0
C
6.3 Results
6.3.1 Relative influence of variables on urban water demand
In this study, principal component analysis (PCA) was undertaken to assess
qualitatively the influence of the independent variables (Table 6.1) on the residential
water demand comprising of the single and multiple dwelling sector. Analysis was
first performed to assess the correlations of the likely influential variables on water
demand. For this, PCA was initially performed using a data matrix of 8 independent
variables covering a 14 year period (1997 to 2011). The resulting biplot is shown in
Figure 6.2 (PC 1 vs. PC 2) that explains 71.2% of the data variance suggesting its
sufficiency to interpret the water demand variables. Moreover, objects in Figure 6.2
did not show any obvious clustering and were spread uniformly across the biplot.
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Thereafter, the dependent variable (PDWC) was introduced into the data matrix to
observe the relationship between the PDWC and the water demand variables. The
resulting PCA biplot on the updated data matrix is presented in Figure 6.3. It was
found that the inclusion of the dependent variable had minimal influence on the
clustering of the data set. Moreover, it did not adversely affect the percentage of
variance explained by the two PCs that indicated Figure 6.3 could be used for direct
interpretation of the influence of water demand variables on PDWC.
4
MMTSE
10_1
09_1
3
EVP
10_2
09_11
08_1
05_1
11_2 10_11
11_3
07_11
07_1
08_12
NRD
04_1
10_3
10_10
08_11
09_10
07_12
07_2
06_1
08_2
09_3
05_11
05_2
03_1106_11
07_3
08_3
06_12
08_10
05_12 04_11
04_10
11_4
06_3
09_4
11_9
02_2
05_10
07_10
03_2
01_2 06_10
10_4
97_1 00_1
08_9
00_3
09_9
97_2
01_3
00_2
10_9
00_11
02_10 99_1299_2
04_3
07_4 08_4
05_3
98_3
10_8
02_3
09_5
06_9
03_3
01_11
99_11
01_10
97_10
10_5 11_5
07_9
98_1199_10 03_10
99_3
11_8 10_7 11_6
98_10
05_9
09_8
04_9 05_4
07_6 10_6
07_8
06_4
97_3
09_6
00_10
11_7
04_4
01_9
07_5
01_4
02_9
03_9
09_7
98_4
00_9
08_5 08_8
03_4
99_4
02_4
06_8
08_708_6
97_9
04_8
98_8
98_9
05_8 06_5
99_9 00_4
03_5
97_4
06_7
05_6
07_7
05_5
98_5
06_6
99_8
97_5
03_8 04_5
05_7
02_5
02_8
01_8 00_5
04_604_7
01_5
97_8 99_5
00_8 01_7
98_7
99_7 03_6
03_7
01_6
00_7
97_6
98_6
99_600_6
02_7
97_7
02_6
02_1
03_1
99_1
01_1
01_12
02_11
00_12
02_12
98_1
98_2
97_12
98_12
97_11
2
1
PC 2 (34.1%)
11_1
10_12
09_2
09_12
0
-1
-2
03_12
04_2
WPWCS
WRS
RF
04_12 06_2
-3
-4
-4
-2
0
2
4
PC 1 (37.1%)
Figure 6.2 Resulting PCA biplot (PC 1 vs. PC 2) of variables (8 independent
variables) influencing water demand, (Data labels (e.g.08_12; Year_Month)
indicate the corresponding year and month in the data matrix)
As evident in Figure 6.3, MMT, EVP and SE were found to be highly correlated with
each other as the angles between the vectors of these variables were small. In
addition, vectors of RF and NRD variables were found to be closer to each other
which indicated a high correlation between them. Presence of such highly correlated
factors among the similar kinds of variables may create multicollinearity problem in
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the regression-based model, leading to unrealistic and biased results. To avoid the
multicollinearity problem, one variable from each set was selected for further
analysis. In this regard, MMT was retained, as the temperature variable can be easily
measured and monitored, and the other two variables (SE and EVP) were removed
from the data matrix. NRD was removed from the data matrix, and RF was retained.
4
09_12
09_1
10_12
09_2
07_11
NRD
08_11 07_2
04_1
PC 2 (30.1%)
0
10_11
11_2
08_1
05_1
07_1
08_12
EVP
1
10_2
09_11
3
2
11_1
10_1
MMT SE
11_3
10_3
10_10
09_10
07_12
06_1
08_2
09_3
08_10
05_11
02_11
03_1106_11
05_2
00_12
07_3
08_3
98_102_12
05_12 04_11 06_12
04_10
97_1297_11 98_12
98_2
11_4
02_2 03_2
06_3
05_10
07_10
09_4
11_9
01_2
97_1
00_1
06_10
10_4
00_3
08_9
97_2
01_3
00_2
09_9
99_12
99_2
03_3
00_11
04_3
02_10
10_9
98_3
05_3
07_408_4
02_3
10_8
99_11
06_9
01_11
09_5
01_10
97_10
98_1199_3 99_10 03_10
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RF
WRS
PDWC
-1
-2
-3
-4
-4
-3
-2
-1
0
1
2
3
4
PC 1 (41.7%)
Figure 6.3 Resulting PCA biplot (PC 1 vs. PC 2) on modified data matrix of 9
variables including dependent variable, PDWC (Data labels (e.g.08_12;
Year_Month) indicate the corresponding year and month in the data matrix)
Though WP, WCS and WRS variables showed a high correlation with each other, no
variable was removed from this set as these three variables were coming from three
different sources (i.e. WP is related to economic perspective, WCS is related to
community participation in saving water and WRS is related to policy issues and
drought response plan) that may have important implication in water demand in the
future. Due to the removal of highly correlated variables of the similar kinds, the
revised data matrix contained only five independent variables (RF, MMT, WP, WCS
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and WRS) and was subjected to PCA. The outcomes of this PCA on the revised data
matrix demonstrated that the elimination of the correlated variables did not put any
adverse impact on the PCA results rather it improved the percentage of variance
(77.3%) explained by the first two principal components (Figure 6.4). This results
indicated that the refined set of variables (i.e. five variables) were sufficient for
further analysis.
4
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10_2
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3
RF
06_1
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2
1
PC 2 (20.8%)
09_2
07_2
07_11
PDWC
0
-1
WP
WCS
WRS
-2
-3
-4
-4
-2
0
2
4
PC 1 (56.5%)
Figure 6.4 Resulting PCA biplot (PC 1 vs. PC 2) on modified data matrix of 6
variables (one dependent and five independent variables) after removing highly
correlated variables from similar kinds (Data labels (e.g.08_12; Year_Month)
indicate the corresponding year and month in the data matrix)
As evident in Figure 6.4, the dependent variable, PDWC shows strong negative
correlation with WP, WCS and WRS variables as they are in the opposite direction
and the angles between them are large (approximately close to 1800). This suggests a
decrease in water consumption with an increase in WP, WCS and WRS values.
These strong negative correlations of these variables with water demand indicate that
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water price and water saving variables are the most dominant in describing water
consumption in the Blue Mountains Water Supply System, and these variables in
combination would be able to help in reducing water demand. This conclusion is in
accordance with the findings of a recent study in Las Vegas Valley in southern
Nevada by Dawadi and Ahmad (2013). They concluded that conservation and water
pricing policies in combination would help to reduce water demand and to delay an
imminent water shortage in Las Vegas Valley.
It can also be seen in Figure 6.4 that climate variables, MMT and RF show weak
positive and negative correlations with PDWC, respectively. The angles between the
vectors of MMT, RF and PDWC, are comparatively smaller than that of WP, WCS,
WRS, and PDWC. This result indicates that the climate variables are less influential
on water demand than the water savings and water price variables. RF variable was
found to be perpendicular to the PDWC, which indicated that rainfall had no impact
on residential water demand. Another climate variable, MMT showed some degree
of correlation with the PDWC. Out of these two climate variables, influence of
temperature on water demand was found to be greater than that of the rainfall
variable, indicating an increase in water demand with an increase in temperature.
The results of this study in relation to the influence of climate on water demand are
somewhat comparable with other studies. For example, the effect of temperature was
found to be important than that of rainfall on water demand in Bangkok and Seoul
(Praskievicz and Chang 2009, Babel et al. 2014), while the effect of rainfall was
found to be significant than that of temperature in Germany (Schleich and
Hillenbrand 2009). Moreover, both the rainfall and temperature were found to be
significant in the residential water use in Phoenix, Arizona (Balling Jr and Gober
2007). These results indicate that the drivers of water consumption vary between
different geographic areas, highlighting the necessity of finding the influence of
water demand variables specific to a given area.
6.3.2 Impact of climate change on urban water demand
Projections of water demand under three climatic scenarios (i.e. A1B, A2 and B1) for
the single dwelling sector are presented in Figure 6.5, where it can be seen that water
demand projections under the current climate are quite close to the projections under
three other future climatic scenarios, which indicate that future water demand
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CHAPTER 6: Climate change & demand
conditions in the Blue Mountains regions would not be affected appreciably by the
future climate.
Average values of the forecasted results of two decades, 2021 – 2030 and 2031 –
2040 and corresponding relative changes in the projections with current climate
conditions are presented in Table 6.2. Percentage changes in average decadal
projections of 2031–2040 for A1B, A2 and B1 scenarios in comparison to the
demand projections with the current climate were found to be 0.10%, 0.45% and
0.03%, which implies that the future water demand would be higher due to the
changed climatic conditions but the impact would be quite negligible. These small
impacts might be associated with the minor changes in the future climate projected
by the CSIRO Mk. 3 GCM. The relative changes in the climate conditions (projected
by the CSIRO model) of the two future decades (2021 – 2030 and 2031 – 2040) in
comparison to the average of the current climate are presented in Table 6.3. It can be
seen that the projected future climate conditions are expected to be changed by a
little margin.
3400
Water demand (ML/year)
3200
3000
A1B
2800
A2
2600
B1
Current cliamte
2400
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2200
Year
Figure 6.5 Projection of water demand under A1B, A2, B1 and current climate
conditions for the period 2021–2040 in the single dwelling sector
In order to verify the climate change impact on future water demand in the Blue
Mountains region, three hypothetical climatic scenarios were also considered to input
to the water demand forecasting models.
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Table 6.2 Water demand forecasting results of the decades of 2021 – 2030 and
2031 – 2040 in the single dwelling sector (Bracketed results indicate percentage
changes in the forecasting results in comparison to the predicted water demand
under current climate condition (1960 – 2012))
Description
Water demand under
"Current climate" condition
ML/year
Water demand under
"A1B" climate scenario
ML/year
Water demand under
"A2" climate scenario
ML/year
Water demand under
"B1" climate scenario
ML/year
Forecasting decade
2021 - 2030
Forecasting decade
2031 - 2040
3050
3105
3040 (-0.33%)
3108 (0.10%)
3067 (0.56%)
3119 (0.45%)
3069 (0.62%)
3106 (0.03%)
Table 6.3 Projection of future climate by the CSIRO Mk. 3 global climate model
(GCM) under three emission scenarios (A1B, A2 and B1) of the two decades
2021 – 2030 and 2031 – 2040 (Bracketed results indicate percentage changes in
the forecasting temperature and rainfall values in comparison to the observed
climate data of 1960 – 2012)
Average maximum temperature
(0C)
Average rainfall (mm/year)
16.71
1416
Current
climate
(1960 - 2012)
CSIRO Mk. 3
A1B
A2
B1
A1B
A2
B1
2021 - 2030
16.70
(-0.05)
17.15
(2.67)
17.08
(2.24)
1591
(12.42)
1355
(-4.24)
1288
(-9)
2031 - 2040
16.99
(1.68)
17.27
(3.37)
16.93
(1.32)
1499
(5.88)
1447
(2.24)
1504
(6.22)
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Forecasted water demand results under these three hypothetical climatic scenarios
were compared with the forecasted water demand under current climate condition for
the year 2040 and the results are presented in Table 6.4. It was found that the
changes in the water demand projections were 1.21%, 2.42% and 3.64% for the
hypothetical climactic scenario 1, 2 and 3, respectively compared to the water
demand projections under the current climate condition. These results also indicate
that there would be a minor impact in the water demand conditions due to possible
future climatic scenarios in the Blue Mountains region.
Similar results were obtained for the multiple dwelling sector in relation to climate
change impact on water demand. Projections of water demand for the period of
2021–2040 under three different climatic scenarios (i.e. A1B, A2 and B1) and
current climate conditions for the multiple dwelling sector are presented in Figure
6.6. Water demand projections with the three climatic scenarios were found to be
quite close to the projection under the current climate condition. Moreover, only a
little variation was found among the projections with these three climatic scenarios.
These results indicate a minor influence of future climate change on water demand in
the multiple dwelling sector. Percentage changes in average decadal projections for
2030 – 2040 for A1B, A2 and B1 scenarios (Table 6.5) in comparison to the demand
projections with current climate were found to be 0.36%, 0.36% and 0.03%, which
also indicate that impact of future climatic conditions on water demand would be
negligible. In addition, forecasted results under three hypothetical climate change
scenarios (Table 6.6) also support the above findings that impact of climate change
would be minimal on water demand.
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Table 6.4 Projection of future water demand under three hypothetical climate
change scenarios in the year, 2040 in the single dwelling sector
Year : 2040
Description
Water demand (ML/year)
% changes in comparison to
water demand under current
climate
Projection under
scenario 1
(+10C T & -10% R)
3168
1.21
Projection under
scenario 2
(+20C T & -20% R)
3206
2.42
Projection under
scenario 3
(+30C T & -30% R)
3244
3.64
Projection under
current climate
conditions (avg. of 1960
- 2012)
3130
*‘T’ refers to monthly maximum temperature and ‘R’ refers to monthly total rainfall
Water demand (ML/year)
350
300
250
200
A1B
150
A2
100
B1
Current cliamte
50
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
Year
Figure 6.6 Projection of water demand under A1B, A2, B1 and current climate
conditions for the period 2021–2040 in the multiple dwelling sector
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Table 6.5 Water demand forecasting results of the decades of 2021 – 2030 and
2031 – 2040 in the multiple dwelling sector (Bracketed results indicate
percentage changes in the forecasting results in comparison to the predicted
water demand under current climate condition (1960 – 2012))
Description
Water demand under
"Current climate" condition
ML/year
Water demand under
"A1B" climate scenario
ML/year
Water demand under
"A2" climate scenario
ML/year
Water demand under
"B1" climate scenario
ML/year
Forecasting decade
2021 - 2030
Forecasting decade
2031 - 2040
233
278
233 (0%)
279 (0.36%)
234 (0.43%)
279 (0.36%)
234 (0.43%)
278 (0.03%)
Table 6.6 Projection of future water demand under three hypothetical climate
change scenarios in the year, 2040 in the multiple dwelling sector
Year : 2040
Description
Water demand (ML/year)
% changes in compare to
water demand under
current climate
Projection under
scenario 1
0
(+1 C T & -10% R)
303
0.57
Projection under
scenario 2
0
(+2 C T & -20% R)
304
1.14
Projection under
scenario 3
(+30C T & -30% R)
306
1.72
Projection under
current climate
conditions (avg. of
1960 - 2012)
301
*‘T’ refers to monthly maximum temperature and ‘R’ refers to monthly total rainfall
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6.4 Summary
In this chapter, principal component analysis (PCA) was conducted to evaluate the
relative influence of independent variables including climate variables (i.e.
temperature and rainfall) on urban water demand. Moreover, impact of future climate
change conditions on urban demand was also assessed by forecasting water demand
under different future climate conditions and current climate condition (average
rainfall and maximum temperature values for the period of 1960 to 2010). These
forecasted results under different climate scenarios were compared with those
obtained assuming current climate condition to estimate the probable impacts. The
future climate scenarios considered in this chapter were (a) three scenarios of CSIRO
Mk. 3 global climate model (GCM): A1B, A2 and B1, and (b) three hypothetical
climate change scenarios: (i) 10C rise in temperature and 10% decrease in rainfall,
(ii) 20C rise in temperature and 20% decrease in rainfall, (iii) 30C rise in temperature
and 30% decrease in rainfall from current climate conditions. Water demand
forecasting was done for the period 2021 to 2040 for the single and multiple dwelling
sectors, separately.
The results of PCA biplot show that the water savings and water price variables are
the dominant drivers in urban water demand modelling. Moreover, it is found that
water savings measures in conjunction with water pricing policy can play an
important role in managing water demand in order to maintain the balance between
water demand and supply. As for the impact of climate variables, the results show
that rainfall has no impact on water demand while temperature has some degree of
positive influence on water demand. These results indicate that water demand are
likely to be less affected by climate change conditions in the future and can be
expected to rise by a little margin when there is a rise in temperature.
The forecasting results indicate that the future water demand under climate change
scenarios would increase by just 0.62% and 0.43% (maximum increase in the decade
of 2031 – 2040) above the current climatic condition for the single and multiple
dwelling sectors, respectively. Furthermore, water demand projections with the
hypothetical climate conditions by 2040 show that the water demand may increase
by 1.21%, 2.42% and 3.64%, respectively, under the hypothetical climactic scenario
1, 2 and 3, above the forecasted water demand under current climate condition.
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Under the same criteria, the increases in water demand in the multiple dwelling
sector are found to be 0.57%, 1.14% and 1.72% for the hypothetical climate
scenarios 1, 2 and 3, respectively. The above results indicate that the impact of
potential future climate change on water demand would be negligible for the Blue
Mountains region. The results of these quantitative assessments of climate change
impact on urban water demand also support the results found in the PCA analysis.
The overall findings in this chapter highlight the fact that urban water demand is
likely to be less influenced by the climate variables and there will be a minor impact
on urban water demand due to change in the climate conditions in the future.
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CHAPTER 7: Calibration & Uncertainty
CHAPTER 7
ESTIMATION OF PARAMETER SETS AND
EVALUATION OF UNCERTAINTIES IN
CALIBRATION OF A RAINFALL-RUNOFF
MODEL
This chapter is partial reproduction of the following refereed journal paper:
Haque, M.M.1, Rahman, A.1, Hagare, D.1 and Kibria, G2. 2014. Parameter
uncertainty of the AWBM model when applied to an ungauged catchment.
Hydrological Processes, published online, DOI: 10.1002/hyp.10283. (ERA
2010 ranking: A, Impact factor: 2.69).
1
School of Computing, Engineering and Mathematics, University of Western
Sydney, Australia
2
Sydney Catchment Authority, Penrith, Australia
Abstract
This chapter focuses on catchment yield estimation using rainfall runoff models. In
this regard, a quantitative assessment of uncertainty was made in connection with the
calibration of two rainfall-runoff models: Australian Water Balance Model (AWBM)
and SIMHYD model for both gauged and ungauged catchment cases. For the gauged
catchment, five different rainfall data sets, twenty three different calibration data
lengths and eight different optimization techniques were adopted. For the ungauged
catchment case, the optimum parameter sets obtained from the nearest gauged
catchment were transposed to the ungauged catchments, and two regional prediction
equations were used to estimate runoff. Uncertainties were ascertained by comparing
the observed and predicted runoffs by the models on the basis of different
combinations of methods, model parameters and input data. The main finding from
this investigation was that the uncertainties in the modelling outputs could vary from
-1.3% to 70% owing to different input rainfall data, -5.7% to 11% owing to different
calibration data lengths and -6% to 0.2% owing to different optimization techniques
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adopted in the calibration of the AWBM and SIMHYD model. The performance of
the models was found to be dominated mainly by the selection of appropriate rainfall
data followed by the selection of an appropriate calibration data length and
optimization algorithm. Use of relatively short data length (e.g. 3 to 6 years) in the
calibration was found to generate relatively poor results. Effects of different
optimization techniques on the calibration were found to be minimal. The
uncertainties reported here in relation to the calibration and runoff estimation by the
models are relevant to the selected study catchments, which are likely to differ for
other catchments. The methodology presented in this chapter can be applied to other
catchments in Australia and other countries using the similar rainfall–runoff models.
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7.1 Overview
Chapter 6 has evaluated the influence of climate variables on urban water demand
adopting Principal Component Biplot technique and assessed the impacts of
plausible climate change scenarios on future water demand by forecasting future
water demand under different plausible future climate conditions. This chapter
focuses on catchment yield estimation using rainfall runoff models. In this regard this
evaluates the uncertainties due to variability in input rainfall time series, variability
in calibration data lengths and variability in optimization methods during calibration
of two rainfall-runoff models: the Australian Water Balance Model (AWBM) and the
SIMHYD model. In addition, it identifies three sets of optimized parameters sets for
each of the models to estimate runoff in the two ungauged catchments (Katoomba
and Blackheath) in the Blue Mountains region. These optimized parameters sets will
be used in Chapter 8 to forecast future runoff in the Blue Mountains catchments. This
chapter commences with presenting the structure of the AWBM and SIMHYD
model. It then presents the methods developed in this chapter to quantify the
uncertainties and to estimate the runoffs. This is followed by the results and
discussion, and summary of the findings.
7.2 Rainfall-runoff models
In this chapter, two widely used daily conceptual rainfall-runoff models; Australian
Water Balance Model (AWBM) (Boughton 2004) and SIMHYD (Chiew et al. 2010)
were used to evaluate the uncertainties during calibration and to estimate the
calibrated parameter sets to be used in the two ungauged catchments in the Blue
Mountains region to estimate runoff. These models are included in the RainfallRunoff Library (RRL), a software product in the Catchment Modelling Toolkit in
Australia (more details of the RRL can be found in www.toolkit.net.au/rrl).
7.2.1 AWBM model structure
The AWBM model is a conceptual rainfall–runoff model, which generates runoff in
daily time scale from the input data of rainfall and evapotranspiration (Boughton
2004). It consists of three surface moisture stores, C1, C2 and C3 that occupy partial
areas of the catchments A1, A2 and A3, respectively. The average surface storage
capacity is the single parameter that determines the amount of runoff, which is the
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sum of three products of individual surface store capacity and respective partial area,
i.e. C1 ×A1 + C2 ×A2 + C3 × A3. In water balance calculation, rainfall (P) and
evapotranspiration (E) are added and subtracted, respectively, to each of the stores at
each time step, whereas water remains in the store. When the amount of water in any
store reaches higher than the capacity of that store, the excess becomes runoff, and
the amount in the store is reset to the capacity (Boughton 2004).
This runoff is then divided between surface runoff and baseflow recharge. The model
structure is presented in Figure 7.1, and the descriptions of the AWBM model
parameters are given in Table 7.1. The net surface runoff and baseflow are estimated
by the baseflow index (BFI), which varies between 0 and 1. This BFI can be
estimated from a streamflow record by using any of the established techniques for
segregation of total streamflow into net surface runoff and baseflow (Chapman
1999). The recharge of the baseflow (𝑄𝑏𝑟 ) and surface runoff store (𝑄𝑠𝑟 ) is estimated
by the following equations:
𝑄𝑏𝑟 = 𝐵𝐹𝐼 × 𝐸𝑥𝑐𝑒𝑠𝑠
(7.1)
𝑄𝑠𝑟 = (1 − 𝐵𝐹𝐼) × 𝐸𝑥𝑐𝑒𝑠𝑠
(7.2)
The daily discharge from the baseflow ( 𝑄𝑏𝑑 ) and surface store ( 𝑄𝑠𝑑 ) into
streamflows are estimated by equations 7.3 and 7.4, respectively.
𝑄𝑏𝑑 = (1 − 𝐾𝑏 ) × 𝐵𝑆
(7.3)
𝑄𝑠𝑑 = (1 − 𝐾𝑠 ) × 𝑆𝑆
(7.4)
where 𝐵𝑆 and 𝑆𝑆 are the amount of moisture in the baseflow and surface store,
respectively and, 𝐾𝑏 and 𝐾𝑠 are the daily baseflow and surface runoff recession
constant, respectively. These recessions constant can be estimated from the
streamflow record.
The AWBM model has nine parameters (Table 7.1); three of them represent areas of
three different surface stores, and another three represent storage capacity of each
surface store. The magnitude of runoff primarily depends on the storage capacity of
the surface stores. Three partial areas of the surface stores must sum to 1.0; therefore,
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only two areas are evaluated during the calibration, and the third one is automatically
determined. The other three parameters (BFI, Kb and Ks) control the timing of runoff.
The AWBM model is one of the few rainfall–runoff models that have the auto
calibration capability. In the auto-calibration option, the model self-calibrates to a
data set of daily rainfall, evapotranspiration and runoff. In this auto-calibration, fixed
pattern of the surface storage capacities and their partial areas are used to
disaggregate the average surface storage capacity in the individual values needed to
run the model. Average surface storage capacity is determined by matching the total
calculated runoff with the total actual runoff. Trial and error adjustments are used to
calibrate baseflow parameters to match the calculated daily runoff with the observed
daily runoff over the calibration period (Boughton and Chiew 2007). More details
description of the auto calibration method in the AWBM model can be found in
Boughton (2006).
Figure 7.1 Structure of the AWBM model (Boughton 2004)
7.2.2 SIMHYD model structure
SIMHYD model has nine parameters and it is capable of estimating runoff values for
both the daily and monthly time steps (Chiew et al. 2010). The structure of the
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SIMHYD model is presented in Figure 7.2 and the description of the model
parameters are given in Table 7.1.
There is an interception store in the SIMHYD model which is filled in with rainfall at
the first step and then is emptied each day by evaporation. The excess rainfall is then
subjected to an infiltration function that determines the infiltration capacity. If the
amount of excess rainfall is higher than the infiltration capacity, it becomes
infiltration excess runoff. The amount of water that infiltrates is then subjected to a
soil moisture function that diverts the water to the stream (interflow), groundwater
store (recharge) and soil moisture store. Interflow and groundwater recharge are
estimated in the order of first and second, respectively, as a linear function of soil
wetness (soil moisture level divided by soil moisture capacity). The remaining water
then flows into the soil moisture store which has a finite capacity. If the water
exceeds the soil moisture store after evapotranspiration from that store, the water
overflows into the groundwater store. From the groundwater store, base flow is
simulated as a linear recession. In summary, the model generates runoff from three
sources: (i) infiltration excess runoff, (ii) interflow and (iii) base flow.
Table 7.1 Descriptions of the AWBM and SIMHYD model parameters
AWBM
parameter
Description
SIMHYD
parameter
Description
A1
Partial area of the smallest store
BC
Baseflow coefficient
A2
Partial area of middle store
IT
Impervious threshold
A3
Partial area of the largest store
IC
Infiltration coefficient
C1
Surface storage capacity of the smallest store
IS
Infiltration shape
C2
Surface storage capacity of middle store
IC
Interflow coefficient
C3
Surface storage capacity of the largest store
PF
Pervious fraction
BFI
Baseflow index
RISC
Rainfall interception store capacity
Kb
Baseflow recession constant
RC
Recharge coefficient
Ks
Surface runoff recession constant
SMSC
Soil moisture store capacity
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7.3 Methodology
As discussed in Chapter 2 (Section 2.7.2), a rainfall-runoff model needs to be
calibrated and validated using the observed data (e.g. runoff, rainfall and
evaporation) before using it to climate change impact analysis on water yield or to
forecast runoff. However, in ungauged catchments, the calibration and validation of a
rainfall-runoff model cannot be undertaken directly due to unavailability of some or
all of these observed data. As mentioned in Chapter 3 (Section 3.3), both the Blue
Mountains catchments (Katoomba and Blackheath) are ungauged catchments. Hence,
a nearest neighbour regionalisation technique (i.e. calibrate a rainfall-runoff model in
the nearby gauged catchments and transpose the model parameters to the ungauged
catchment) was adopted in this chapter to calibrate and validate the rainfall-runoff
models and to estimate the calibrated parameter sets to be used in the Katoomba and
Blackheath catchments.
Rainfall
Evapotranspiration
Interception store
Rainfall interception store capacity
Infiltration coefficient
Infiltration shape
Interflow coefficient
Recharge coefficient
Infiltration excess
runoff
Saturation excess
runoff
Interflow
Runoff
Soil Moisture Store
Soil moisture store capacity
Groundwater Store
Baseflow coefficient
Baseflow
Figure 7.2 Structure of the SIMHYD model (Podger 2004)
As discussed in Chapter 2 (Section 2.7.2), different sources of uncertainties are
associated with the calibration of a rainfall–runoff model that need to be quantified to
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assess the relative accuracy of the prediction made by a rainfall–runoff model. In this
chapter, three sources of uncertainties were quantified during the estimation of the
calibrated parameter sets of the rainfall-runoff models, which were as follows:
1. Uncertainty due to the variability in input data, mainly uncertainty in
rainfall time series. Rainfall and evaporation are the two primary
variables taken into a rainfall-runoff model to estimate runoff.
Between these two variables, evaporation has a much smaller spatial
and temporal variability than rainfall and hence, rainfall-runoff
modelling results are likely to be less influenced by the errors in
evaporation data compared with rainfall data. In addition, in case of
missing data, monthly average evaporation can be used as the
replacement without any significant loss of accuracy in the outcomes
of a rainfall-runoff model (Chapman 2003). Therefore, only
uncertainty in calibration due to the variability in rainfall time series
data was examined in this chapter.
2. Uncertainty due to variability in calibration data length.
3. Uncertainty due to different optimization methods to calibrate the
rainfall-runoff models.
As mentioned in Chapter 3 (Section 3.3), Narrow Neck catchment is the only nearest
gauged catchment of both the Blue Mountains catchment selected in this chapter.
Hence, the rainfall-runoff models were calibrated using the observed runoff data
from the Narrow Neck catchment. These observed runoff data were assumed to be of
good quality. As mentioned before, in this chapter, analysis was done with two
rainfall-runoff models (i) Australian Water Balance Model (AWBM) and (ii)
SIMHYD model. The following tasks were conducted in this chapter to obtain the
calibrated parameter sets and to estimate the uncertainties in the calibration of the
models. Descriptions of the methods to perform these tasks are given in the
following sub-sections.
1. Estimation of uncertainty due to the variability in rainfall data
during calibration of the AWBM model by using five different
rainfall time series.
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2. Selection of appropriate rainfall time series and rainfall factor.
3. Evaluation of the impacts of different calibration and validation
data length on the AWBM model performance.
4. Estimation of the impacts of using different optimisation
methods on the calibration of the AWBM model.
5. Selection of the optimum parameter sets of the AWBM based on
the results of the above Tasks 1, 2, 3 and 4.
6. Estimation of the monthly runoff in the Blue Mountains
catchments using the selected optimum parameter sets.
7. Estimation of the monthly runoffs in the Blue Mountains
catchments using two regional methods developed by Boughton
(2009) and Boughton and Chiew (2007), details of these two
methods are given in Section 7.3.5 in this chapter.
8. Examination of the uncertainty in the calibrated parameter sets
and the AWBM modelling outputs on the basis of the results
found in the above Task 6 and 7.
9. Execution of the Task 3, 4, 5 and 6 using the SIMHYD model
and compare the results obtained using the AWBM model.
7.3.1 Model results evaluation criteria
In this chapter, the evaluation of modelling results was carried out using a number of
performance statistics, the Nash–Sutcliffe efficiency (NSE) (described in Section
4.3.4 in Chapter 4), the median of bias in percentage (MBIAS) (described in Section
4.3.4 in Chapter 4), the percentage difference between the total modelled and
observed runoff (V%) and the average ratio of the yearly modelled runoff to the
yearly observed runoff using the simulated and observed monthly and annual runoff
values of the gauged catchment (Narrow Neck). Normally, NSE values greater than
0.6 indicate reasonable agreement, and NSE values greater than 0.8 indicate good
agreement between observed and modelled values in the catchment yield studies
(Chiew and McMahon 1993). The ideal value of BIAS is zero with low values of
BIAS indicating better modelling results, where positive and negative values
represent overestimation and underestimation bias, respectively in the modelled
results.
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Uncertainty in the model outputs is reported in this chapter by estimating the
percentage difference between the total observed and modelled runoff that indicates
the model performance in simulating the total observed runoff during the calibration
and validation process, which can be represented by V%. The perfect value of V% is
100, which indicates that the total modelled runoff is equal to the total observed
runoff. It can be calculated by the following equation:
V (%) 
PT  OT
 100
OT
(7.5)
where 𝑂𝑇 is the total observed runoff and 𝑃𝑇 is the total modelled runoff.
The ratio of the yearly modelled runoff to the yearly observed runoff represents the
variation in simulating yearly runoff which can be calculated by the following
equation:
Ratio 
PY
OY
(7.6)
where 𝑃𝑌 is the yearly modelled runoff and 𝑂𝑌 is the yearly observed runoff. An
optimum value of the ratio is one that indicates that yearly modelled runoff is equal
to the observed runoff value.
7.3.2 Uncertainty due to variability in rainfall time series
In order to identify the impact of input rainfall data on model calibration, the AWBM
model was calibrated with the observed monthly runoff values for the whole period
of available data set (1988–2012) adopting auto calibration feature available in the
AWBM model for the Narrow Neck catchment using five different rainfall inputs: (i)
rainfall of Katoomba weather station; (ii) rainfall of Blackheath weather station; (iii)
simple average of rainfall values from Katoomba (KT) and Blackheath (BH) weather
station; and (iv) two pairs of factors were assigned to the Katoomba and Blackheath
rainfall values on the basis of the distance from the catchment. Distances between the
Narrow Neck catchment and Katoomba and Blackheath weather stations are 6.57 km
and 11.91 km, respectively. Two factors (a and b) were calculated as follows:
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a
CHAPTER 7: Calibration & Uncertainty
6.57
11.91
 0.36; b 
 0.64
6.57  11.91
6.57  11.91
(7.7)
This pair of factor (a, b) was assigned alternatively to the rainfall values of
Katoomba and Blackheath stations. In one case, ‘a’ was assigned to the Katoomba
station and ‘b’ was assigned to the Blackheath station; and in another case, ‘a’ was
assigned to the Blackheath station and ‘b’ was assigned to the Katoomba station. The
best rainfall station was selected on the basis of the performance measures discussed
above.
After identifying the best rainfall station/rainfall time series to calibrate the AWBM
model, some scaling was carried out to the rainfall values of the identified station to
check whether it improves the calibration results. Scaling of the input data is
common in water balance studies to improve the model results (Boughton 2009).
Annual average rainfall in Blackheath weather station is smaller than that of
Katoomba weather station. Hence, if the Katoomba weather station would come as
appropriate station, then few rainfall factors greater than 1 (one) (e.g. 1.05, 1.1, 1.5
and 1.2) would be multiplied with the Katoomba rainfall time series, otherwise if
Blackheath weather station would come as appropriate station, then few rainfall
factors smaller than 1 (one) (e.g. 0.95, 0.90. 0.85 and 0.8) would be multiplied with
the Blackheath rainfall time series.
7.3.3 Uncertainty due to variability in optimization methods
In order to quantify the uncertainty due to the different optimization techniques, the
rainfall-runoff models were calibrated using eight different optimization methods
including Uniform random search (URS), Pattern search (PS), Pattern search multi
start (PSMS), Rosenbrock search (RS), Rosenbrock multi start search (RMSS),
Genetic Algorithm (GA), Shuffle complex evolution (SCE-UA) and auto calibration
option using the total data lengths in the calibration period. The models were
calibrated adopting the above mentioned optimization methods to maximise the
objective function, Nash-Sutcliffe efficiency. In the URS method, each parameter is
divided into a specified number of intervals considering the minimum and maximum
limits. Then parameter value is randomly selected from the parameter space to run
the model and assess the objective function. The procedure is repeated for a specified
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number of times, and the parameter set with the best value of the objective function
is retained as the optimum solution.
The PS method starts with an initial value and evaluates the objective function for an
incremental decrease and increase in the initial value to find the optimum value. The
PSMS method divides the parameter values into a specified number of increments
between the specified limits, and then PS is carried out for each of these starting
points. The RS method is similar to the PS method to some extent where it returns at
each step a point at least as good as the previous one in the parameter space. The
RBMS works similar to PSMS by dividing the parameter values into a specified
number of increments to avoid bias due to the pre-specified starting points in the RS
method. The GA method searches among a population of randomly generated points,
and then each point is evaluated to find out the maximum value of the objective
function. The SCE-UA method is a probabilistic search method, which was
developed at the University of Arizona. More details description of these
optimization methods can be found in Podger (2004).
7.3.4 Uncertainty due to variability in calibration data lengths
After selecting the appropriate rainfall time series and optimization method (as
discussed earlier), the rainfall-runoff models were calibrated by varying the
calibration data length to find the optimum data length to calibrate the model and to
estimate the uncertainty due to the different calibration data periods. The 25 years of
data period was split into two segments: one data set was used for calibration, and
the remaining data set was used for validation purpose. In the first test, the first 3
years of data period was considered for calibration, and the remaining 22 years was
considered for validation. Then in the next test, 1 year was added to calibration data
length, and validation was carried out for the remaining data. In this way, a total of
23 (T1 to T23) tests were carried out, and model performance statistics were
estimated for each of the tests. NSE was calculated for monthly runoff values for
both the calibration and validation data sets for all the tests. A total NSE value was
calculated for the whole of the data set by assigning equal importance factor (0.5) to
the calibration and validation NSE values.
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7.3.5 Estimation of runoff
Runoff values in the Blue Mountains catchments were estimated by transposing the
optimum parameters of the Narrow Neck catchment to the Katoomba and Blackheath
catchments adopting the two rainfall-runoff models, AWBM and SIMHYD. Average
yearly runoff values in the Katoomba and Blackheath catchments were also
estimated by the method described in Boughton (2009) and Boughton and Chiew
(2007). Boughton (2009) produced a single set of parameter values for each of the
five states (e.g. one parameter set for the catchments in New South Wales (NSW)
and another parameter sets for the catchments in Western Australia) for the AWBM
model to estimate runoff on ungauged catchments. He regionalized the parameter set
from the calibration results of 121 catchments comprising five states of Australia
[NSW, Queensland, South Australia, Tasmania and Western Australia]. As the Blue
Mountains catchments are located in NSW region, the parameter values from the
NSW region was used to estimate runoff in the Katoomba and Blackheath
catchments. The parameter values were taken as follows: surface storage capacity
(SS) = 145 mm, BFI = 0.33, baseflow recession constant (Kb) = 0.98 and surface
runoff recession constant (Ks) = 0.35.
Boughton and Chiew (2007) developed regression equations to relate average annual
runoff to average annual rainfall and potential evapotranspiration adopting data from
213 catchments across Australia. They developed regional prediction equations for
each of the six major drainage divisions of Australia. Then they used these regional
equations to estimate annual average runoff at the ungauged catchments. Thereafter,
the AWBM model was adopted to estimate daily and monthly runoff using the
rainfall and evapotranspiration data by calibrating its surface storage parameters to
match with the estimated average annual runoff. In this chapter, the developed
regression equation for Australian Drainage Division II was used to estimate annual
average runoff for the Katoomba and Blackheath catchment as these catchments are
located in Drainage Division II. The developed equations by Boughton and Chiew
(2007) are given as follows:
If P > 1000 mm/year; Q  0.641 P  0.072  E  361
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If P ranges 700 – 1000 mm/year; Q  0.619  P  0.157  E  206
(7.9)
where Q is runoff in mm/year, P is rainfall in mm/year and E is evapotranspiration in
mm/year.
7.4 Results
7.4.1 Uncertainty due to input rainfall data
The AWBM model calibration results using the five different input rainfall data sets
(represented by T1 to T5) are presented in Table 7.2. The results showed that the
NSE value was the highest when rainfall values from the Blackheath station were
used, and the NSE value was the lowest when rainfall values from Katoomba station
were used. The second highest NSE value was obtained when more weighting was
assigned to the rainfall data of the Blackheath station. In respect to MBIAS, the value
was found to be the highest (30.67%) for the Katoomba station, which indicated that
the monthly estimated runoff was about 30% higher than the recorded runoff. For
two cases, the MBIAS values were found to be the lowest and close to each other (6.98% and 5.96%) when using the rainfall data from the Blackheath station and
simple average value on the basis of the Katoomba and Blackheath stations.
Total estimated runoff was found to be 69% higher than the total recorded runoff in
T1 (Table 7.2). The lowest value of V was found to be -1.29% for T2, which
indicated that the total estimated runoff is only 1.29% smaller than the total modelled
runoff. The second best result was found to be 12.35% for T5. For T3 and T4, the
total estimated runoffs were within 25% and 37% of the recorded runoff. From these
results, it might be noted that the AWBM model was calibrated well when the
rainfall data were taken from the Blackheath station and the worst when the rainfall
data were taken from the Katoomba station. It was also found that when more
weighting was given to the rainfall values of the Blackheath station, the calibration
results were found to be better than the other test results (i.e. T1, T3 and T4). The
results favour the selection of the Blackheath rainfall station for calibration of the
AWBM model for the Narrow Neck catchment. These results also demonstrated that
the uncertainty (in terms of variation between the total modelled runoff and recorded
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runoff) in the model outputs could be between -1.29% and 70% owing to the
different input rainfalls to the model.
After identifying the appropriate rainfall station to calibrate the AWBM model, some
scaling was done to the rainfall values of the Blackheath station to check whether it
improves the calibration results. Since the calibration results with rainfall stations
tended to be better with the lower rainfall values (Blackheath rainfall < Katoomba
rainfall), four decreasing scaling factor 0.95, 0.90, 0.85 and 0.80 was assigned to the
rainfall values of the Blackheath station and run the model with these rainfall values.
Results of incorporating different rainfall scaling factors are presented in Table 7.3; it
can be seen that NSE value increases with the decreasing rainfall factor. Moreover,
all the NSE results of these runs were found to be better than the results of using the
original rainfall values of the Blackheath station indicating the necessity of adopting
rainfall factor.
MBIAS value was found to be within the close range of the previous results with the
Blackheath station for the first three tests. However, it went higher for T4 when 0.80
was used as the rainfall scaling factor. The agreements between total modelled runoff
and total recorded runoff were found to be satisfactory for all the tests. However, the
value of V(%) increased with the decreasing rainfall factor, which indicated that a
higher decreasing factor would make the total modelled runoff being more
underestimated. Moreover, R2 value (Table 7.3) of the trend line between the
monthly observed and modelled runoff was found to increase for the first three tests,
and it started to decrease with the T4. Therefore, considering all of these results,
rainfall scaling factor of 0.85 was found to be the best option and hence was selected
for further analysis.
The aforementioned results due to different rainfall inputs demonstrate the
importance of selecting proper rainfall station(s)/appropriate rainfall data in order to
obtain good calibration results for a rainfall-runoff model. It also indicates that the
rainfall–runoff model calibrated with inappropriate or poor quality rainfall data
would produce less effective parameter set, which would eventually affect the runoff
estimation in the ungauged catchments even with the high-quality rainfall data in the
ungauged catchments. Similar conclusions were made by Post et al. (2008) and Vaze
et al. (2008) when investigating the impact of rainfall data quality on the calibration
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results of the SIMHYD and Sacramento rainfall–runoff models for ten catchments in
the Murray Darling Basin of Australia. They found a large variation in the estimated
parameter sets due to different rainfall inputs and showed that the models’
performance increased with improved rainfall data.
Table 7.2 Comparison of calibration results of the AWBM model with five
different rainfall inputs
SN
Rainfall series
NSE
MBIAS (%) V (%)
T1
Katoomba
-0.045
30.67
69.91
T2
Blackheath
0.519
-6.98
-1.29
T3
Katoomba×(0.5)+Blackheath× (0.5)
0.462
5.96
24.74
T4
Katoomba× (0.64)+Blackheath× (0.36)
0.391
11.9
37.39
T5
Katoomba× (0.36)+Blackheath× (0.64)
0.505
-7.74
12.35
Table 7.3 Effect of rainfall scaling factor on the calibration results of the
AWBM model
SN
Rainfall station Rainfall factor
NSE
MBIAS (%) V (%)
R2
T1
Blackheath
0.95
0.60
2.02
-0.04
0.629
T2
Blackheath
0.90
0.65
10.01
0.59
0.669
T3
Blackheath
0.85
0.68
9.33
0.80
0.689
T4
Blackheath
0.80
0.69
17.62
1.02
0.687
7.4.2 Uncertainty due to optimization methods
The performance statistics of eight different optimization methods adopting the
AWBM model are presented in Table 7.4. The results showed that the GA performed
the best in terms of average ratio, but it performed the worst when considering the
agreement between the total modelled runoff and total observed runoff. In terms of V
value, the RS performed the best, but it performed poorer in terms of MBIAS. In
terms of MBIAS, the SCE-UA performed the best, but value of V in this case was
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higher than the other results. In terms of NSE value, the URS performed the worst,
and rest of the methods were found to perform similarly. This result is likely since
GA is based on random number generation, which may need a greater number of
simulations than 500 (as adopted in this study) to achieve comparable results. The
relatively poor performance of the SCE-UA and RBMS methods cannot be readily
explained; further study might have unfolded the reason for this; which however was
not undertaken in this thesis. On the basis of these results, it might be noted that not a
single method could produce the best result with respect to all the four performance
statistics adopted here. Nevertheless, all of the methods were found to be performing
in a comparable manner. The uncertainty due to the calibration methods was found to
be in the range of -6.01% to 0.80%, which is much smaller than the uncertainty due
to the variability in rainfall time series data.
Table 7.4 Performance statistics of the AWBM model based on different
optimization methods
Optimization methods
Average ratio
V (%)
MBIAS
(%)
NSE
1) GA
1.18
-6.01
-7.81
0.68
2) PS
1.31
0.20
11.90
0.69
3) PSMS
1.28
-1.21
6.95
0.69
4) URS
1.42
-2.40
-12.55
0.63
5) RBMS
1.26
-2.96
-26.31
0.65
6) RS
1.34
0.06
19.35
0.68
7) SCE-UA
1.25
-2.65
3.30
0.69
8) Auto
1.32
0.80
9.33
0.68
*Bold marked value represents the best value in the table
7.4.3 Uncertainty due to calibration data length
The overall calibration and validation NSE values for monthly runoffs adopting
different calibration data lengths using auto calibration methods of the AWBM
model are presented in Figure 7.3. The calibration NSE values were found to be
above 0.8 for the first ten tests (T1–T10), and then it gradually declined. Calibration
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NSE values were found to be in the range of 0.87 (T2) and 0.63 (T16). It was found
that when the calibration data length was equal or close to half of the data set, the
calibration results were satisfactory. When considering the full data set for
calibration, the NSE value was found to be 0.68 (lower than that of using half of the
data set), which indicated that using the full dataset to calibrate the model might not
necessarily give the better calibration results. The validation NSE values varied
between 0.82 (T19 and T20) and 0.51 (T9 and T10), and the results were found to be
better for T13 to T22. Hence, it may be noted that the validation NSE values were
found to be better when less than or equal to half of the data set was used in the
validation. In terms of total NSE, not so much difference was found for the tests
using the different calibration and validation data lengths as it varied between 0.65
(T10) and 0.74 (T13). The best value was found to be 0.74 for T13, where calibration
data period was 1988–2002 (15 years) and validation data period was 2003–2012 (10
years). It should be noted that better results were obtained for T19, T20, T21 and
T22.
Values of yearly average ratio (estimated using Equation (7.6)), monthly MBIAS and
V (estimated using Equation (7.5)) for all of the adopted tests due to different
calibration data lengths are presented in Table 7.5. It showed that better average ratio
values were obtained for T7 and T8. In terms of MBIAS, better results were obtained
for T7, T8, T17, T19, T20, T21, T22 and T23. In terms of an agreement (V%)
between the total modelled runoff and recorded runoff, the results for T17, T19 and
T23 were found to be better. From these results, it may be noted that no single test
was found to be the best with respect to all the three statistics adopted here.
Moreover, it was found that the uncertainty due to the different calibration data
lengths was in the range of -5.69% to 11%.
Since no single test was found to be the best, it was decided to select few different
sets of plausible parameters on the basis of the test results to apply on the ungauged
catchments. Finally, three sets of parameters were selected for transposing to the
ungauged catchments, which corresponded to T13 (on the basis of the highest NSE
value), T8 (on the basis of the lowest average ratio) and T23 (on the basis of the
value of MBIAS and V, and consideration of using full data length). The values of
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the AWBM parameters for the selected three sets are presented in Table C.7.1 in
Appendix C.
7.4.4 Runoff estimation at the Katoomba and Blackheath (ungauged)
catchments
Average yearly runoff values in the Katoomba and Blackheath catchments for the
period of 1988 to 2012 were estimated by transposing three different sets of
calibrated parameters (i.e. T8, T13 and T23). The calculated runoffs are presented in
Table 7.6; it can be seen that average yearly runoff varied between 592 to 607
mm/year for the Katoomba catchment and 381 to 401 mm/year for the Blackheath
catchment. Total runoff and average yearly runoff estimated by the three different
sets of parameters were found to be relatively close to each other, which indicated
that any one of the selected three calibrated parameter sets could be used to estimate
runoff in the two ungauged catchments. However, a single set of parameter values
should not be considered in the rainfall-runoff modelling as a diverse set of possible
parameter values can lead to similar model performance, which would give higher
confidence on the model output. In this regard, Bárdossy (2007) mentioned that
model parameters are generally correlated with each other; changes in one parameter
can be compensated for by changes in one or others, which eventually could result in
similar model outputs.
NSE (Total)
NSE (Validation)
2.00
0.00
1.80
0.20
1.60
0.40
1.40
0.60
1.20
0.80
1.00
1.00
0.80
1.20
0.60
1.40
0.40
1.60
0.20
1.80
0.00
2.00
T1
T2
T3
T4
T5
T6
T7
T8
T9
T10
T11
T12
T13
T14
T15
T16
T17
T18
T19
T20
T21
T22
T23
NSE Value
NSE (Calibration)
Test No
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Figure 7.3 Total, calibration and validation NSE values for the 23 tests due to
different calibration and validation data lengths adopting the AWBM model
Table 7.5 Values of NSE (total), average ratio, MBIAS (%) and V (%) for the 23
tests due to different calibration and validation data lengths adopting the
AWBM model
Test
NSE
(total)
Average
ratio
MBIAS
(%)
V (%)
T1
T2
T3
T4
T5
T6
T7
T8
T9
T10
T11
T12
T13
T14
T15
T16
T17
T18
T19
T20
T21
T22
T23
0.71
0.71
0.70
0.72
0.71
0.69
0.68
0.67
0.66
0.65
0.72
0.69
0.74
0.69
0.68
0.70
0.69
0.71
0.73
0.73
0.73
0.73
0.68
1.52
1.34
1.51
1.46
1.41
1.28
1.21
1.22
1.27
1.28
1.30
1.36
1.34
1.48
1.46
1.36
1.32
1.30
1.33
1.34
1.28
1.28
1.32
40.70
40.70
39.18
40.50
32.85
22.47
11.03
11.05
16.76
23.21
26.89
25.58
27.37
29.07
24.49
25.11
10.21
20.46
9.36
10.06
7.61
6.65
9.33
11.00
1.33
10.03
7.59
4.96
-2.49
-5.99
-5.69
-2.93
-2.54
-1.29
2.23
1.28
9.06
7.98
2.21
0.79
-1.36
0.91
1.90
-1.46
-1.60
0.80
NSE (total) = 0.5 × NSE of calibration data set + 0.5 × NSE of validation data set
The estimated average yearly runoff values by the regional prediction equations
developed by Boughton (2009) and Boughton and Chiew (2007) are presented in
Table 7.7. Annual average rainfall values in the Katoomba and Blackheath weather
stations are 1406 and 1149 mm/year, respectively. Therefore, Equation (7.8) was
used to estimate the annual average runoff for the catchments. Comparing Tables 7.6
and 7.7, it is apparent that there is considerable disagreement between the estimated
runoffs of the Katoomba and Blackheath catchments (which are ungauged) using
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three different methods [i.e. transposing of the model parameters from the nearby
gauged catchment as carried out in this chapter, and regional methods by Boughton
(2009) and Boughton and Chiew (2007)]. As these two catchments are ungauged, it
is difficult to find out which of the adopted methods provide the best results.
However, these results present a range of most probable estimates of the runoff at
these ungauged catchments.
It should be noted that some studies have reported that nearby catchments are likely
to have similar catchment characteristics and hence the transpose method (i.e. use of
the calibrated parameters from the nearest gauged catchment to the ungauged
catchment) should produce better results (Merz and Blöschl 2004, Young 2006,
Oudin et al. 2008). Boughton (2009) also found good results in an experiment with
18 Australian catchments when using the calibrated AWBM parameters with data
from one catchment to estimate the runoff in the other 17 catchments. In the
Boughton and Chiew (2007) method, linear relationship was assumed between the
variables; however, the underlying relationship between these variables and other
hydrological variables is more likely to be nonlinear. Another drawback of the
method is that the form of the relationship needs to be assumed to estimate the
average yearly runoff before calibration of the AWBM model.
Table 7.6 Estimated runoff of the Blue Mountains catchments (Katoomba and
Blackheath) by the AWBM model for the period 1988-2012 by transposing the
calibrated parameter from the nearby catchment
Katoomba
Blackheath
Parameter
set
Total
runoff
(ML)
Relative
difference
Average
runoff
(mm/year)
Total
runoff
(ML)
Relative
difference
Average
runoff
(mm/year)
T8
41600
T8 & T13:
2.89%
592
69762
T8 & T13:
5.25%
381
T13
42803
T13 &
T23: 0.3%
609
73345
T13 &
T23:
0.25%
401
T23
42676
T23 & T8:
2.52%
607
73081
T23 & T8:
4.75%
400
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In Boughton (2009), a single set of parameter values was used to estimate annual
average runoff from a group of catchments, which is more likely to give less
confidence in the runoff estimation in the ungauged catchments as catchment
characteristics vary from place to place. Although Boughton (2009) demonstrated
good results with the single set of parameter values and some rainfall adjustments to
estimate runoff, this method may not produce good results for the smaller catchments
(e.g. less than 10 km2), as for smaller catchments the average surface capacity would
be much less than the value (145 mm) used in Boughton (2009) to generate runoff.
These issues need to be investigated further with data from additional catchments to
make any firm conclusion. These issues may be investigated as a future work arising
from this PhD study.
Table 7.7 Estimated annual average runoff for the Katoomba and Blackheath
catchments on the basis of the regional methods by Boughton (2009) and
Boughton and Chiew (2007) for the period of 1988-2012
Katoomba
Average runoff
(mm/year)
Blackheath
Average runoff
(mm/year)
Boughton (2009)
554
341
Boughton and Chiew
(2007)
457
290
Methods
7.4.5 Calibration and runoff estimation results using the SIMHYD model
The SIMHYD model was run adopting seven different optimization methods to find
the best methods and to estimate uncertainties. The best rainfall time series found
during the AWBM model calibration was used during the calibration of the
SIMHYD model. Similar to the results of the AWBM model, the results using
different optimization methods (Table 7.8) showed that not a single method could
produce the best result with respect to all the performance statistics. The uncertainty
due to the choice of calibration methods was found to be in the range of -9.04% to
6.35%. Based on the results found in Table 7.8, the PS method was selected for
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further analysis as the value of V (%) for this method was the lowest among all
others, which indicated that it simulated total runoff better than others. In addition,
the NSE value was the highest for this method and the MBIAS (%) value was
comparable to others.
Adopting the PS optimization method, the SIMHYD model was run with varying
calibration data lengths to estimate the uncertainty due to the choice of calibration
data lengths and to find the optimized parameters sets for the SIMHYD model. Total
NSE values, values of yearly average ratio (estimated using Equation (7.6)), monthly
MBIAS and V (estimated using Equation (7.5)) for all the tests due to different
calibration data lengths are presented in Table 7.9. It can be seen that the highest
NSE value was obtained for T19, the lowest average ratio value was obtained for
T10, the lowest MBIAS value was obtained for T9 and the lowest V (%) value was
obtained for T14. Though T9 and T10 were found to be the best in terms of MBIAS
and average ratio values, respectively, there was considerable disagreement found
between the total observed runoff and the total modelled runoff as the value of V(%)
was much higher than other tests. The uncertainty due to the different calibration
data lengths was found to be in the range of -13.74% to 6.78%.
Table 7.8 Performance statistics of the SIMHYD model based on different
optimization methods
Optimization methods
Average Ratio
V (%)
MBIAS
(%)
NSE
1) GA
1.26
-4.50
-9.79
0.66
2) PS
1.39
0.66
17.38
0.69
3) PSMS
1.39
-0.40
17.67
0.69
4) URS
1.63
2.71
46.15
0.61
5) RBMS
1.22
-9.04
-26.43
0.68
6) RBSS
1.38
-0.64
13.31
0.69
7) SCE-UA
1.54
6.35
32.49
0.66
*Bold marked value represents the best value in the table
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These results demonstrated that no single test was the best with respect to all the
statistics adopted here. Nevertheless, it can be seen in Table 7.9 that the results
became stable during the T14 to T17 indicating the consideration of half or close to
half of the calibration data length for achieving better results. Since no single test
was found to be the best similar to the AWBM model three sets of parameters were
selected from the SIMHYD calibration for transposing to the ungauged catchments.
The selected parameter sets were T14 (based on the lowest V(%) value), T19 (based
on the highest NSE value) and T23 (based on using the total data length). The values
of the three sets of parameter are presented in Table C.7.2 in Appendix C.
Table 7.9 Values of NSE (total), average ratio, MBIAS (%) and V (%) for the 23
tests due to different calibration and validation data lengths adopting the
SIMHYD model
Test
NSE
(total)
Average
ratio
MBIAS
(%)
V (%)
T1
T2
T3
T4
T5
T6
T7
T8
T9
T10
T11
T12
T13
T14
T15
T16
T17
T18
T19
T20
T21
T22
T23
0.70
0.70
0.70
0.70
0.70
0.68
0.65
0.65
0.66
0.64
0.65
0.67
0.68
0.67
0.65
0.66
0.68
0.64
0.72
0.71
0.71
0.67
0.66
1.16
1.34
1.55
1.47
1.37
1.11
1.28
1.27
1.17
1.15
1.32
1.40
1.47
1.37
1.33
1.38
1.37
1.34
1.46
1.36
1.37
1.37
1.35
2.39
22.08
38.26
34.02
25.28
-3.68
23.59
20.99
-1.28
-2.28
17.77
10.62
11.92
5.86
8.40
1.48
4.41
13.25
12.22
11.54
9.35
13.28
7.18
-11.99
-3.50
6.78
3.41
-1.35
-13.74
-7.66
-8.25
-10.76
-12.50
-4.30
1.16
4.45
-0.84
-2.30
1.36
-1.77
-1.55
4.41
1.45
-4.26
-1.68
-1.72
*NSE (total) = 0.5 × NSE of calibration data set + 0.5 × NSE of validation data set.
*Bold marked value represents the best value in the table
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Total runoff and average yearly runoff values in the Katoomba and Blackheath
catchments for the period of 1988 to 2012 were estimated by transposing three
different sets of calibrated parameters of the SIMHYD model (i.e. T14, T19 and
T23). The calculated runoffs are presented in Table 7.10; it can be seen that average
yearly runoffs varied between 585 and 601 mm/year for the Katoomba catchment,
and 388 to 407 mm/year for the Blackheath catchment. Total runoff and average
yearly runoff estimated by the three different sets of parameters were found to be
relatively close to each other (relative differences between the results were small),
which indicated that any one of the selected three calibrated parameter sets could be
used to estimate runoff in the two ungauged catchments. In addition, the estimated
runoffs by the SIMHYD model were found to be quite comparable with the results
found adopting the AWBM model (Table 7.6) indicating the uncertainty due to the
choice of models are negligible.
Table 7.10 Estimated runoff of the Blue Mountains catchments (Katoomba and
Blackheath) by the SIMHYD model for the period 1988-2012 by transposing the
calibrated parameter from the nearby catchment
Katoomba
Blackheath
Parameter
set
Total
runoff
(ML)
Relative
difference
(Abs. value)
Average
runoff
(mm/year)
Total
runoff
(ML)
Relative
difference
(Abs. value)
Average
runoff
(mm/year)
T14
41513
T14 & T19:
1.64%
591
71325
T14 & T19:
4.26%
390
T19
42193
T19 & T23:
2.65%
601
74361
T19 & T23:
4.51%
407
T23
41074
T23 & T14:
1.07%
585
71010
T23 & T14:
0.44%
388
7.5 Summary
This chapter has focused on catchment yield estimation using rainfall runoff models.
In this regard, this chapter has examined the degree of uncertainties associated with
the calibration and runoff estimation by the AWBM and SIMHYD model for both
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gauged and ungauged catchment cases. For the gauged catchment, five different
rainfall data sets, twenty three different calibration data lengths and eight different
optimization techniques were adopted. For the ungauged catchment case, the
optimum parameter sets obtained from the nearest gauged catchment (located in the
Blue Mountains region, Australia) were transposed to two ungauged catchments
(Katoomba and Blackheath) in the Blue Mountains region, Australia, and two
regional prediction equations were used to estimate runoff. Uncertainties are
ascertained by comparing the observed and modelled runoffs by the models on the
basis of different combinations of methods, model parameters and input data.
The main finding from this chapter is that the uncertainties in the modelling outputs
may vary from -1.3% to 70% owing to different input rainfall data, -13.74% to 11%
(AWBM: -5.69% to 11%; SIMHYD: -13.74% to 6.78%) owing to different
calibration data lengths and -9.04% to 6.35% (AWBM: -6.01% to 0.8%; SIMHYD: 9.04% to 6.35%) owing to different optimization methods adopted in the calibration
of the rainfall-runoff models. The performance of the rainfall-runoff models is found
to be dominated mainly by the selection of appropriate rainfall data, followed by the
selection of an appropriate calibration data length and optimization algorithm.
It is also found that using full data period in the calibration may not produce better
results than using half of the data length. It is also found that when using smaller
length of data (3 to 6 years) in the calibration, it is likely to generate poorer model
outputs. Results of runoff estimation show that any of the optimized parameter sets
may be used as they produce similar results. However, due to the existence of
uncertainties, single set of parameter should not be used to forecast runoff and to
study climate change impact. It is also found that the runoffs estimated by the
AWBM and the SIMHYD model are comparable to each other indicating negligible
uncertainty due to the choice between these two models.
The uncertainties reported here in relation to the calibration and runoff estimation by
the AWBM and SIMHYD model are relevant to the selected study catchments,
which are likely to differ for other catchments. However, the methodology presented
in this chapter can be applied to other catchments in Australia and other countries to
estimate optimized parameter sets and uncertainties using similar rainfall–runoff
models.
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CHAPTER 8
ESTIMATION OF FUTURE RUNOFF,
UNCERTAINTIES AND FUTURE
PERFORMANCE OF A WATER SUPPLY
SYSTEM UNDER CHANGING CLIMATE
CONDITIONS
This chapter is partial reproduction of the following paper:
Haque, M.M.1, Rahman, A.1, Hagare, D.1, Kibria, G.2 and Karim, F.3 2014.
Estimation of catchment yield and associated uncertainties due to climate
change in a mountainous catchment in Australia. Journal of Hydrology, under
review (ERA 2010 ranking: A*, Impact factor: 3.68).
1
School of Computing, Engineering and Mathematics, University of Western Sydney,
Australia
2
Sydney Catchment Authority, Penrith, Australia
3
CSIRO Land and Water, Commonwealth Scientific and Industrial Research Organisation,
Canberra, ACT 2601, Australia
Abstract
This chapter examines the impacts of climate change on future runoff and estimates
uncertainties in the forecasted runoff in a mountainous catchment (Blue Mountains)
in the state of New South Wales in Australia. It also assesses the future performance
of the Blue Mountains Water Supply System with the forecasted water demand and
runoff scenarios in the 2021-2040 periods. The uncertainties associated with the
prediction of runoff were estimated using a multi-model approach based on four
global climate models (GCMs), 200 realisations (50 realisations from each GCM) of
downscaled rainfalls, two rainfall-runoff models and six sets of model parameters.
The four GCMs used were, CSIRO, ECHAM 5, CCCMA and MIROC, and two
rainfall-runoff models were the Australian Water Balance Model and the SIMHYD
model. The ensemble results of runoff projections show that the mean annual runoff
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CHAPTER 8: Performance of BMWSS
is expected to be reduced in future periods (2021-2040) by 34% in comparison to
that of 1987-2012. However, considerable uncertainty in the runoff estimates were
found as the ensemble results projected changes of the 5th (dry scenario) and the 95th
(wet scenario) percentile by -73% to +27% and -73% to +12% in the decades of
2021-2030 and 2031-2040, respectively. Median projection of runoff changes using
the four GCMs were found to be in the same direction (i.e. decrease in runoff).
However, significant differences were noticed in the magnitudes of the runoff
calculated using the four GCMs. On the other hand, the runoffs calculated using the
two rainfall-runoff models were found to be quite similar. Results of uncertainty
estimation demonstrate the uncertainty rank as: GCM uncertainty > realisation
uncertainty > rainfall – runoff model uncertainty > rainfall-runoff model parameter
uncertainty. The future performance assessment results of the Blue Mountains Water
Supply System show that the Blue Mountains’ storages with the future runoff would
not be sufficient to provide water to the community. Water from other sources and
implementation of water restriction will be needed to ensure necessary water supply.
The results of this chapter provide important insights about the possible runoff
changes and future performance of the Blue Mountains Water Supply System in the
future decades due to changing climate, which would assist the water authorities for
better planning and management of the water supply system.
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8.1 Overview
Chapter 7 has evaluated the uncertainties associated with the calibration of a rainfallrunoff model and estimated model parameter sets for the Australian Water Balance
Model and the SIMHYD model to use in forecasting runoff. This chapter forecasts
runoff in the Blue Mountains catchments, evaluates uncertainties in the forecasted
results and assesses the performance of the Blue Mountains Water Supply System
under future climate conditions. It commences with presenting the methodologies to
conduct the above mentioned tasks. It then presents the results of estimated
uncertainties, forecasted runoff and projected performance of the Blue Mountains
Water Supply System in the future periods. This is followed by a summary of the
findings.
8.2 Methods
In this chapter, three tasks were carried out, which are as follows:
1. Forecasting the runoffs in the two ungauged catchments in the
Blue Mountains region.
2. Estimating the uncertainties in forecasting of runoffs due to four
different sources of uncertainties (e.g. choice of Global Climate
Models (GCMs), internal variability of the GCMs, choice of
rainfall-runoff models and choice of model parameters).
3. Assessing the future performance of the Blue Mountains Water
Supply System (BMWSS).
8.2.1 Forecasting runoffs
To estimate possible scenarios of future runoff under changing climate conditions,
two rainfall-runoff models: Australian Water Balance Model (AWBM) and
SIMHYD model (discussed in Chapter 7 in Section 7.2) were run using the selected
three sets of parameters (estimated in Chapter 7) for each model with the future
climate projection data. As discussed in Chapter 3 (Section 3.6.5), the future rainfall
scenarios were obtained from the NARCliM (NSW/ACT Regional Climate
Modelling) 2014 project for four Global Climate Models (GCMs) (i.e. CSIRO,
CCCMA, ECHAM 5 and MIRPC). In addition, the evaporation data were obtained
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from an intergovernmental project for CSIRO global climate model. The fifty
realisations (number of repetitive simulation results for a given time step within a
single GCM) of the downscaled rainfall data from each of the four GCMs and fifty
realisations of evaporation data from the CSIRO GCM were taken as input to the
rainfall-runoff models. Forecasting of runoff was made for the period of 2021 to
2040, and then the mean annual runoff was calculated for the two decades: 20212030 and 2031- 2040. The range of forecasting results from the combinations of four
GCMs, two hundred realisations of downscaled rainfall (i.e. 50 realisations from
each GCMs), two rainfall-runoff models and six set of parameters (3 sets for each
rainfall-runoff model) were compared with the mean annual runoff of the reference
period (1987-2012) to estimate the changes relative to the reference period. The
adopted framework of forecasting runoff is presented in Figure 8.1.
Rainfall-runoff models
SIMHYD
AWBM
Parameter set 1
Parameter set 2
Parameter set 3
Projection with
CSIRO rainfall
data
Projection with
CSIRO rainfall
data
Projection with
CSIRO rainfall
data
Projection with
CCCMA rainfall
data
Projection with
CCCMA rainfall
data
Projection with
CCCMA rainfall
data
Projection with
ECHAM 5 rainfall
data
Projection with
ECHAM 5 rainfall
data
Projection with
ECHAM 5 rainfall
data
Projection with
MIROC rainfall
data
Projection with
MIROC rainfall
data
Projection with
MIROC rainfall
data
Figure 8.1 Adopted framework of forecasting runoff based on the AWBM and
SIMHYD model using the projected climate data
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8.2.2 Estimating uncertainties
In this chapter, four different types of uncertainties were estimated in the forecasting
of runoffs, which are as follows:
1. Uncertainty due to choice of GCMs (i.e. GCM uncertainty).
2. Uncertainty due to internal variability of a GCM (i.e. realisation
uncertainty).
3. Uncertainty due to choice of rainfall-runoff models (i.e.
rainfall-runoff model uncertainty).
4. Uncertainty due to choice of rainfall-runoff model parameter
sets (i.e. parameter uncertainty).
Uncertainties were reported by calculating the ensemble means of the forecasted
runoffs and the spread around these mean values due to different sources of
uncertainties. Coefficient of variation (CV) (the ratio of mean and standard deviation)
was calculated to represent the spread with respect to the mean. Quantification of the
uncertainties was done in the following way and the flow charts of the uncertainty
estimation methods are presented in Figures 8.2, 8.3, 8.4 and 8.5.
(i)
The spread due to the choice of GCMs was estimated by taking the
median value from the fifty forecasting simulations of annual
runoffs using each GCM, and thereafter calculating the CV among
the four GCMs (Figure 8.2).
(ii)
The spread due to the fifty realisations of the downscaled rainfall
data (i.e. realisation uncertainty) was estimated by taking the
ensemble mean and standard deviation of the fifty simulations
using one GCM and one rainfall-runoff model (Figure 8.3).
(iii)
Uncertainty due to the choice of rainfall-runoff models was
estimated by calculating median value from the fifty forecasting
simulations using a GCM and then calculating the CV for the two
median values estimated from the two rainfall-runoff models
(Figure 8.4).
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(iv)
CHAPTER 8: Performance of BMWSS
Parameter uncertainty was calculated for the AWBM and SIMHYD
models, separately. Median values of the simulated runoffs were
calculated from the fifty simulations using a GCM and rainfallrunoff model, and adopting three sets of parameters. Thereafter, the
CV value was calculated from the three median values (Figure 8.5).
Rainfall-runoff models
(AWBM/SIMHYD)
Model parameter sets
(Set1/Set2/Set3)
50 simulations using
50 simulations using
50 simulations using
50 simulations using
CSIRO data
CCCMA data
ECHAM 5 data
MIROC data
Estimation of median
Estimation of median
Estimation of median
Estimation of median
Calculation of Cv
Figure 8.2 Framework of estimating uncertainty due to choice of GCM (i.e.
GCM uncertainty)
8.2.3 Assessing the reliability of a water supply system
In this chapter, assessment of the performance of the Blue Mountains Water Supply
System (BMWSS) under future climate conditions was conducted adopting three
scenarios: (i) the most probable scenario [50th percentile of forecasted water demand
(i.e. median demand) + 50th percentile of forecasted runoff (i.e. median catchment
yield)] and (ii) the most favourable scenario [5th percentile of forecasted water
demand (i.e. low demand) + 95th percentile of forecasted runoff (i.e. high catchment
yield)] and (iii) the worst scenario [95th percentile of forecasted water demand (i.e.
high demand) + 5th percentile of forecasted runoff (i.e. low catchment yield)].
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Two criteria were used to evaluate the performance of the water supply system: (i)
reliability, and (ii) security. Reliability is defined as the percentage of months when
water restrictions will not need to be applied more than 3% of total time (restriction
will be introduced when total storage becomes 50%). Security is defined as the
percentage of months when the total storage will not be lower than 5% for more than
0.001% of time (one month in 100,000 months). These two criteria are used by
Sydney Catchment Authority along with another criterion (i.e. robustness) to ensure
the effective performance of the water supply systems they maintained (Sydney
Catchment Authority 2009b).
Rainfall-runoff models
(AWBM/SIMHYD)
Model parameter sets
(Set1/Set2/Set3)
50 simulations using
CSIRO/CCCMA/ECHAM 5/MIROC data
Estimation of median
Calculation of Cv
Figure 8.3 Framework of estimating uncertainty due to internal variability of a
GCM (i.e. realisation uncertainty)
Assessment of the water supply system was conducted for the period of 2021-2040
which corresponds to 240 months. For each of the month, water balance was
calculated using equation 8.1 and thereafter total number of months was counted for
each of the performance criteria. During the water balance calculation, total storage
volume of the dams was assumed to be full in the first month (i.e. 2890 ML). As
discussed in Chapter 3 (Section 3.2), other than the Blue Mountains dams, the
BMWSS gets water from two other sources: the Fish River Water Scheme (FRWS)
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and the Warragamba dam during dry conditions and when required. During the
performance assessment of the water supply system in the future, two cases were
considered: (i) no water supply from the FRWS and (ii) a fixed supply of 285
ML/month, which is close to the upper limit of water allocation from the FRWS
supply to the BMWSS (Sydney Catchment Authority that maintains the Blue
Mountains dams is licensed to get 300 ML water per month from the FRWS when
needed to supplement the BMWSS). In the assessment calculation, no water supply
from the Warragamba dam to the BMWSS was assumed during the forecasting
periods.
𝑊𝐵 = 𝐼 + 𝑇𝑆 + 𝐹𝑅𝑊𝑆 + 𝑅 − 𝑊𝐷 − 𝐸
(8.1)
where 𝑊𝐵 = water balance ML/month; 𝐼 = runoff in ML/month; 𝑇𝑆 = total storage
in ML; 𝐹𝑅𝑊𝑆 = fish river water scheme; 𝑅 = monthly total rainfall in the dams in
ML/month; 𝑊𝐷 = total water demand in ML/month and 𝐸 = total monthly
evaporation from the dams.
Rainfall-runoff models
AWBM
SIMHYD
Model parameter sets
(Set1/Set2/Set3)
Model parameter sets
(Set1/Set2/Set3)
50 simulations using
50 simulations using
CSIRO/CCCMA/ECHAM 5/MIROC
CSIRO/CCCMA/ECHAM 5/MIROC
data
data
Estimation of median
Estimation of median
Calculation of Cv
Figure 8.4 Framework of estimating uncertainty due to choice of rainfall-runoff
models (i.e. rainfall-runoff model uncertainty)
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Rainfall-runoff models
(AWBM/SIMHYD)
Model parameter set
(Set1)
Model parameter set
(Set2)
Model parameter set
(Set3)
50 simulations using
50 simulations using
50 simulations using
CSIRO/CCCMA/ECHAM
CSIRO/CCCMA/ECHAM
CSIRO/CCCMA/ECHAM
5/MIROC data
5/MIROC data
5/MIROC data
Estimation of median
Estimation of median
Estimation of median
Calculation of Cv
Figure 8.5 Framework of estimating uncertainty due to choice of rainfall-runoff
model parameter sets (i.e. rainfall-runoff model parameter uncertainty)
After calculating the water balance for each simulation month, the reliability and the
security criteria were estimated using equations 8.2 and 8.3, which are given below:
𝑅𝑒𝑙𝑖𝑎𝑏𝑖𝑙𝑖𝑡𝑦 =
𝑆𝑒𝑐𝑢𝑟𝑖𝑡𝑦 =
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑚𝑜𝑛𝑡ℎ𝑠 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟 𝑟𝑒𝑠𝑡𝑟𝑖𝑐𝑡𝑖𝑜𝑛
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑡𝑎𝑙 𝑠𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛 𝑚𝑜𝑛𝑡ℎ𝑠
× 100
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑚𝑜𝑛𝑡ℎ𝑠 𝑡𝑜𝑡𝑎𝑙 𝑠𝑡𝑜𝑟𝑎𝑔𝑒 𝑓𝑎𝑙𝑙𝑠 𝑏𝑒𝑙𝑜𝑤 5%
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑜𝑡𝑎𝑙 𝑠𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛 𝑚𝑜𝑛𝑡ℎ𝑠
× 100
(8.2)
(8.3)
As discussed in Chapter 5, residential water demand (single and multiple dwelling
sector) was estimated with the projected climate data adopting a Monte Carlo
simulation technique. Water demand was forecasted under 12 plausible future
scenarios considering four water restriction levels (No restriction, Level 1, Level 2
and Level 3 water restrictions) and three climate scenarios (A1B, A2 and B1). From
the probabilistic water demand forecasting, three values of future water demand (5th,
50th and 95th percentiles) were picked under each twelve water demand scenarios.
Thereafter, water demand for the commercial sector was calculated by multiplying
the total residential demand by 20/80 as the commercial water demand is
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approximately 20% (as mentioned in Chapter 3, Section 3.6.1) of the total water
demand in the Blue Mountains region. Thereafter, residential and commercial water
demands were added to get the total water demand. In this way total 36 water
demand scenarios were generated as illustrated in Figure 8.6.
(i)
(ii)
(iii)
(iv)
A1B - L1 : (5th ,50th, 95th )
A1B – L2 : (5th ,50th, 95th )
A1B – L3 : (5th ,50th, 95th )
A1B – No : (5th ,50th, 95th )
(i)
(ii)
(iii)
(iv)
12 Scenarios
A2 - L1 : (5th ,50th, 95th )
A2 – L2 : (5th ,50th, 95th )
A2 – L3 : (5th ,50th, 95th )
A2 – No : (5th ,50th, 95th )
12 Scenarios
(i)
(ii)
(iii)
(iv)
B1 - L1 : (5th ,50th, 95th )
B1 – L2 : (5th ,50th, 95th )
B1 – L3 : (5th ,50th, 95th )
B1 – No : (5th ,50th, 95th )
12 Scenarios
Figure 8.6 Forecasted 36 total water demand scenarios for the period of 20212040
In this chapter, future runoffs were estimated using the projected climate data from
the four GCMs. From the range of forecasting results, three forecasting values: 5th,
50th and 95th percentiles were picked as the likely water demand scenarios under each
GCMs projection. In this way, total twelve runoff scenarios were generated as
illustrated in Figure 8.7.
(i) CSIRO: (5th ,50th, 95th )
(ii) CCCMA: (5th ,50th, 95th )
(iii) ECHAM 5: (5th ,50th, 95th )
(iv) MIROC: (5th ,50th, 95th )
Figure 8.7 Forecasted 12 runoff scenarios for the period of 2021-2040
Assessment of the performance of the BMWSS under changing climate conditions
was conducted by combining the forecasted water demand and runoff scenarios using
equation 8.1. Total 144 simulations were considered using the 36 water demand and
12 runoff scenarios (e.g. each demand scenario with four runoff scenarios). As an
example, twelve simulation scenarios with A1B-L1 water demand and four runoff
scenarios to assess the performance of the BMWSS are presented in Table 8.1.
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Table 8.1 Twelve combinations of future water demand and runoff scenarios to
assess the performance of the Blue Mountains Water Supply System
Runoff scenario
Rainfall
Evaporation
Scenario
description
1
CSIRO (95th
percentile)
CSIRO
CSIRO
Most favourable
2
CCCMA (95th
percentile)
CCCMA
CSIRO
Most favourable
3
ECHAM 5 (95th
percentile)
ECHAM 5
CSIRO
Most favourable
4
MIROC (95th
percentile)
MIROC
CSIRO
Most favourable
5
CSIRO (50th
percentile)
CSIRO
CSIRO
Most probable
6
CCCMA (50th
percentile)
CCCMA
CSIRO
Most probable
7
ECHAM 5 (50th
percentile)
ECHAM 5
CSIRO
Most probable
8
MIROC (50th
percentile)
MIROC
CSIRO
Most probable
9
CSIRO (5th
percentile)
CSIRO
CSIRO
Worst
10
CCCMA (5th
percentile)
CCCMA
CSIRO
Worst
11
ECHAM 5 (5th
percentile)
ECHAM 5
CSIRO
Worst
12
MIROC (5th
percentile)
MIROC
CSIRO
Worst
SN
Water demand
scenario
A1B-L1 (5th
percentile)
A1B-L1 (50th
percentile)
A1B-L1 (95th
percentile)
8.3 Results
8.3.1 Rainfall projections
A comparison between the annual average rainfall for the period 1987-2012 and the
projected rainfall changes for the Katoomba weather station using the four GCMs are
presented in Table 8.2. Three statistics for the projected rainfall changes, the 5th
percentile (dry scenario), the median and the 95th percentile (wet scenario), are
presented for the two decades: 2021-2030 and 2031-2040. The final row of the table
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(marked in bold) contains the ensemble results from all of the four GCMs. These
results indicate that rainfall would be reduced by 5% and 6% for the decades of
2021-30 and 2031-40, respectively. However, considerable uncertainty were found in
the rainfall projections with the ranges of 5th and 95th percentiles being -27% to 33%
and -29% to 25% for the decades of 2021-30 and 2031-40, respectively.
Table 8.2 Percentage of rainfall changes in the future decades projected by the
four GCMs compared to annual average rainfall during the period 1987 – 2012
Decade 2021-30
Decade 2031-40
GCMs
5th
percentile
Media
n
95th
percentile
5th
percentile
Media
n
95th
percentile
CSIRO
-36
-10
23
-37
-8
22
CCCMA
-15
-1
43
-28
-11
18
ECHAM
5
-30
-7
21
-30
-2
34
MIROC
-23
-3
42
-24
-2
28
Ensemble
median
-27
-5
33
-29
-6
25
8.3.2 Uncertainty due to internal variability of a GCM (Realisation uncertainty)
Fifty realisations of the downscaled rainfall data from the ECHAM 5 GCM were
taken into the AWBM model to generate 50 runoff simulations for the 2021-2040
periods to estimate the uncertainty due to the internal variability of a GCM. The
results show that the variability is high among the simulated results. The C V values
were calculated from the estimated 50 runoff values and are presented in Figure 8.8,
it can be seen that the simulated results vary considerably around the mean, with the
mean CV value of around 36-38% for the forecasted periods. The forecasted results
show that the 50 simulated runoffs are not in good agreement indicating a large
uncertainty within simulated runoffs due to the realisation uncertainty. Similar results
were obtained for the other GCM predictions (i.e. MIROC, CSIRO and CCCMA);
these results are presented in Figures D.8.1, D.8.2 and D.8.3 in Appendix D.
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8.3.3 Uncertainty due to choice of GCMs (GCM uncertainty)
In order to estimate the uncertainty due to the choice of GCMs, the AWBM model
was run with one set of calibrated parameters using 50 realisations of downscaled
rainfall data from the four GCMs (i.e. CSIRO, CCCMA, ECHAM 5 and MIROC).
Finally, 200 runoff simulation values (50 runoff values using each GCM) were
obtained by running the AWBM with the above configuration. Thereafter median
projections of the runoffs using the four GCMs were compared with each other to
estimate the uncertainty and the CV values were calculated using 4 median runoff
values. The CV values are presented in Figure 8.9, it can be seen that the variations in
the simulated runoffs are noticeably high among the results based on the data from
the four GCMs. CV values of the simulated runoffs were sometimes found to be as
high as 80% with a mean value of 50%, indicating a considerable difference between
the simulated results. These results demonstrated that a significant uncertainty is
associated with the runoff estimates due to the differences in the GCMs predictions.
0.8
Coefficient of Variation
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
Year
Figure 8.8 Coefficient of variation (CV) values of the simulated runoffs using
ECHAM 5 model data (i.e. realisation uncertainty). The red horizontal line
represents the average CV value
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0.9
0.8
Coefficient of Variation
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
Year
Figure 8.9 Coefficient of variation (CV) values of the simulated median runoffs
using data from the four GCMs (i.e. CSIRO, CCCMA, ECHAM 5, MIROC).
The red horizontal line represents the average CV value
8.3.4 Uncertainty due to choice of rainfall-runoff models
To estimate the uncertainty due to choice of rainfall-runoff models, 50 realisations of
the downscaled rainfall data from the CSIRO GCM were taken as inputs to the
AWBM and SIMHYD models to simulate runoffs by these two models. Finally, 100
runoff simulation values (50 runoff values using each rainfall-runoff model) were
obtained using CSIRO GCM. Then the median projections by these two models were
compared and CV values were calculated based on the two median runoff values
obtained from the estimated 50 runoff values by each rainfall-runoff model to assess
the uncertainty. Figure 8.10 presents the uncertainty due to the rainfall-runoff model
by showing CV values for the 2021-2040 periods. It can be seen that the average CV
values are in the range of 3 to 4%, indicating less variation among the simulated
results by the models. The results demonstrate that uncertainty associated with the
simulated runoffs due to the choice of rainfall-runoff models is relatively small.
8.3.5 Uncertainty due to choice of rainfall-runoff model parameter
In order to estimate the uncertainty due to the choice of calibrated rainfall-runoff
model parameter sets, the AWBM model was run with the fifty realisations of the
downscaled rainfall data from the CCCMA GCM using three sets of calibrated
parameters. Finally, 150 runoff simulation values (50 runoff values using each
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parameter set) were obtained by running AWBM and using CCCMA GCM.
Thereafter, median projections of the simulated runoff by the three sets of parameters
were compared and CV values were calculated based on the three median runoff
values obtained from the estimated 50 runoff values using each parameter set to
estimate the uncertainty. The CV values of the simulated runoffs for the 2021-2040
periods are presented in Figure 8.11; the CV values were found to be quite low with
an average value of around 1%. The results indicate that the simulated runoffs by the
three different parameter sets are close to each other. Similar results were found
adopting the SIMHYD model with the calibrated SIMHYD parameter sets. These
results demonstrate that the uncertainty associated with the simulated runoffs due to
the different parameter sets is relatively small.
0.9
0.8
Coefficient of Variation
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
Year
Figure 8.10 Coefficient of variation (CV) values of the simulated median runoffs
using the CSIRO global climate model data adopting the AWBM and SIMHYD
models (i.e. rainfall-runoff model uncertainty). The red horizontal line
represents the average CV value
8.3.6 Comparison of uncertainties
Relative magnitudes (in terms of CV values in %) of the four different types of
estimated uncertainties in the forecasting of runoffs are presented in Figure 8.12,
which shows that uncertainty due to different GCMs is remarkably higher than the
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other three types. In this chapter, the realisation uncertainty was also found to be
considerably high being in the second position in terms of CV value. The rainfallrunoff models demonstrated some differences in the simulated results but those were
quite minor. The uncertainty due to rainfall-runoff model parameters was found to be
less than that of the rainfall-runoff models and the lowest among all the four sources
of uncertainties. These results are comparable to the findings of other recent global
studies on climate change impact analysis such as Prudhomme and Davies (2009),
Kay et al. (2009), Chen et al. (2011) and Gosling et al. (2011). These studies
concluded that uncertainties linked to GCMs were the most dominant uncertainty in
the climate change impact studies on water resources. A similar conclusion in
regards to the rainfall-runoff model and parameter uncertainty was also made by
Chen et al. (2011) and Poulin et al. (2011) that these two sources of uncertainties
were not significant.
0.9
Coefficient of Variation
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
Year
Figure 8.11 Coefficient of variation (CV) values of the simulated median runoffs
by the AWBM model using the CCCMA GCM data adopting three different
calibrated parameter sets (i.e. rainfall-runoff model parameter uncertainty).
The red horizontal line represents the average CV value
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60
Average CV (%)
50
40
30
20
10
0
GCMs uncertainty
Realisation
uncertainty
Rainfall-runoff
models
uncertainty
Type of uncertainties
Rainfall-runoff
models parameter
uncertainty
Figure 8.12 Comparison of four types of uncertainties by presenting the average
CV (%) values of the forecasted runoff
Similar results were also found by some recent Australian studies. For example,
Chiew et al. (2009), Chiew et al. (2010) and Teng et al. (2012) found that the
uncertainties in runoff projections were mostly dominated by the choice of the
GCMs. They also found that the choice of hydrological model was the least
significant source of uncertainty. Crosbie et al. (2011) demonstrated that the greatest
source of uncertainty was linked with the GCMs projections during investigating the
impact of climate change on groundwater recharge at three locations across southern
Australia. They found the differences between the highest and lowest projections to
be 53%, 44% and 24% for the GCM, downscaling and hydrological model
uncertainty, respectively. Teng et al. (2012) also found that the uncertainty linked to
GCM was much larger than the uncertainty in the rainfall-runoff models during the
investigation of climate change impact on runoff across southeast Australia. They
found 28 to 35% variations in the results based on 15 different GCMs and one
rainfall-runoff model. On the other hand, they found less than 7% variation in runoff
results based on five different rainfall-runoff models and one GCM.
8.3.7 Forecasting of runoffs (Median projections)
Table 8.3 presents the % changes of median projections in mean annual runoff of the
Blue Mountains catchments in the forecasting decades (i.e. 2021-2030, 2031-2040)
with that of the reference period (i.e. 1987-2012). The results show that runoff would
be reduced by 9% (CCCMA) to 49% (CSIRO) and 25% (ECHAM 5) to 48%
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(CSIRO) in the 2021-2030 and 2031-2040 periods, respectively in comparison to the
mean annual runoff in the reference period (i.e. 1987-2012). These results indicated
that the predicted changes in runoff estimates greatly varied in magnitude among the
four GCMs simulations.
Table 8.3 Percentage changes of median projections of mean annual runoff in
comparison to the reference period (1987-2012) in the Blue Mountains
catchments
Hydrological model
GCMs
2021-2030
2031-2040
CSIRO
-49
-48
CCCMA
-9
-35
ECHAM 5
-46
-25
MIROC
-25
-32
CSIRO
-49
-47
CCCMA
-11
-38
ECHAM 5
-43
-27
MIROC
-25
-31
Ensemble median
-34
-34
AWBM
SIMHYD
The highest reduction in the mean annual runoff was predicted by using the CSIRO
GCM model data for both the forecasting decades. The results showed that the mean
annual runoff would be decreased by 49% and 48% in the decades 2021-2030 and
2031-2040, respectively in comparison to the mean annual runoff in the reference
period using climatic data from the CSIRO GCM and the AWBM rainfall-runoff
model. As can be seen in Table 8.3, similar results were found with the SIMHYD
rainfall-runoff model. These results indicate that the projections of climate conditions
by the CSIRO model would be the most critical scenarios for producing future runoff
in the Blue Mountains region. The ensemble results of the median runoff projection
show that the runoff would be reduced by around 34% in the forecasting decades
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(Table 8.3). This reduction in runoff might be explained by the combined effect of
higher evaporation and lesser rainfall in the forecasting decades. These results
indicate that there would be a noticeable impact on runoff in the Blue Mountains
catchments due to changing climatic conditions in the future.
These estimated results in reducing runoff in this chapter are also quite similar to
other recent Australian studies that predicted reduction in runoff in different parts in
Australia. For example, Preston and Jones (2008) investigated the climate change
impact on runoff across Australia (238 river basins) including basins from Northern
Territory, Western Australia, Queensland, Tasmania, New South Wales, Victoria and
South Australia. Their study demonstrated that significant reductions in runoff would
happen in future over both short and long time scales. They found a decrease in
runoff for 96% of the catchments by 2030 and the average probability of runoff
reductions in 2030 would be 0.76. Silberstein et al. (2012) predicted that runoff
would decrease by 10% to 42% in 2030 under changing climatic conditions (i.e.
median decline of rainfall by 8%) in south-western Australia with a median reduction
of 25% in comparison to the average runoff of 1975-2007. Vaze et al. (2011) showed
that mean annual runoff in the Macquarie-Castlereagh river basin in Australia would
be reduced by 7% (median reduction) in 2030.
Another important finding is that, despite differences in the projections (i.e.
magnitudes of changes) of mean annual runoff using the climatic data from the four
GCMs, all the models are in agreement that there would be less runoff (i.e. direction
of changes) in future decades in the Blue Mountains catchments. However, it could
be worst (i.e. variations can be greater both in direction and magnitude) if the GCM
uncertainty is too high. For example, Preston and Jones (2008) found highly
divergent results not only in the magnitudes but also in the directions of changes
when they used seven GCMs in their climate change impact studies. Table 8.3
indicates significant differences among runoff changes simulated using the data from
the four GCMs, but the results produced by the AWBM and SIMHYD model were
quite similar when using a particular GCM data. This result indicates that there
would be less uncertainty associated with the runoff projections due to the choice of
rainfall-runoff models than the GCMs uncertainty. Vaze et al. (2011) also showed
that the predicted runoffs by the two rainfall-runoff models, SIMHYD (median
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reduction 5%) and Sacramento (median reduction 7%) were quite similar but
considerable differences were found in the simulated runoffs using climate
projections from the different GCMs.
8.3.8 Forecasting of runoffs (5th and 95th percentile)
From the fifty simulations under each GCM, the 5th , the 50th and the 95th percentile
runoff values were selected that characterized ‘dry’, ‘median’ and ‘wet’ future
scenarios, respectively to represent the forecasting range of predicted flows. Table
8.4 presents the 5thand 95th percentiles and ensemble median of the % changes of the
mean annual runoff in future decades in comparison to the reference period using the
downscaled climatic data from all the four GCMs and the AWBM rainfall-runoff
model. Similar results were also obtained adopting the SIMHYD rainfall-runoff
model.
It can be seen from Table 8.4 that runoff would be changed by -87% to 54% and 82% to 49% in the 2021-2030 and 2031-2040 periods, respectively in comparison to
the mean annual runoff in the reference period when using the data from the four
GCMs. The ensemble median values demonstrated that runoff would be changed by 73% to 27% and -73% to 12% in the 2021-2030 and 2031-2040 periods,
respectively. These results demonstrate a significantly higher level of spread in the
estimated runoff, thus indicating a high degree of uncertainty in the forecasted
results. A range of forecasting therefore needs to be considered in planning and
management of water supply systems. A large range in forecasting results has also
been reported by some of the recent Australian studies. For example, Preston and
Jones (2008) demonstrated a large range of uncertainty in the potential results of
climate change impact on runoff across Australia; they found that runoff changes
would vary between -70% to +40% (90% confidence intervals) by 2030 in 238
basins across Australia. Chiew et al. (2009) investigated climate change impact on
runoff across southeast Australia and found that mean annual runoff would change in
the range of -17% to +7%. Vaze et al. (2011) showed that mean annual runoff in the
Macquarie-Castlereagh river basin in Australia would change by -27% to +24% in
2030. Silberstein et al. (2012) predicted that runoff would decrease by 10% to 42%
in 2030 under changing climatic conditions in south-western Australia.
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Table 8.4 Percentage changes in the 5th and 95th percentiles projections of the
mean annual runoff adopting the AWBM model in comparison to the reference
period (1987-2012)
GCMs
2021-2030
2031-2040
Low (5th
percentile)
High (95th
percentile)
Low (5th
percentile)
High (95th
percentile)
CSIRO
-87
6
-82
9
CCMA
-59
47
-73
4
ECHAM 5
-82
5
-72
49
MIROC
-63
54
-72
14
Ensemble
median
-73
27
-73
12
8.3.9 Performance assessment of the Blue Mountains Water Supply System
Performance of the Blue Mountains water supply system (BMWSS) was assessed for
the period of 2021-2040 with the forecasted water demand and runoff scenarios
under different combinations of climate conditions, future water demand and runoff
scenarios as discussed in Section 8.2. The estimated results of the reliability and
security criteria under 48 combinations [i.e. four demand scenarios (A1B-No, A1BL1, A1B-L2 and A1B-L3) × three percentile scenarios (5th, 50th and 95th) × runoff
projections by four GCMs (MIROC, ECHAM 5, CSIRO and CCCMA)] are
presented in Tables 8.5, 8.6, 8.7 and 8.8. Results are presented for both the
conditions: (i) BMWSS without the FWRS water supply and (ii) BMWSS with the
FRWS water supply. As discussed in Section 8.2, the desirable values of reliability
and security criteria should be less than or equal to 3% and 0.001%, respectively.
As can be seen in Table 8.5, the results adopting future water demand scenarios with
no water restriction condition (NO) show that the BMWSS would not meet the
performance criteria (as the reliability and security results are above the specified
limit) in the future periods (2021-2040) for any of the percentile combinations: the
most favourable
(Demand: 5th percentile + Runoff: 95th percentile), the most
probable (Demand: 50th percentile + Runoff: 950th percentile) and the worst
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(Demand: 50th percentile + Runoff: 950th percentile). On the other hand, if sufficient
water from the FRWS is ensured in the future periods, the BMWSS can meet the
performance criteria under the most favourable and the most probable conditions.
However, the BMWSS would not meet the criteria under the worst condition even
with the water supply from the FRWS.
The performance assessment results with the water demand scenarios under Level 1
water restriction conditions show that for most of the cases the BMWSS would not
meet the criteria (Table 8.6) in the future when there is no water supply from the
FRWS to the BMWSS. Only two most favourable cases with the MIROC and
CCCMA projections, the BMWSS would be able to meet the criteria. On the other
hand, if water supply from the FRWS is ensured in the future periods, the BMWSS
would meet the criteria for most of the cases except two (CSIRO and ECHAM 5).
Under the worst case scenario with the CSRIO and ECHAM model projections, the
BMWSS would not be able to meet the criteria even with the water supply from the
FRWS.
The performance assessment results with the water demand scenarios under Level 2
and Level 3 water restriction conditions are presented in Tables 8.7 and 8.8. It can be
seen that the results are quite similar for these two cases. The results show that the
BMWSS meets the performance criteria for all the cases when water supply from the
FRWS is ensured in the future. On that other hand, the BMWSS would fail to meet
the criteria under the most probable and the worst condition when there would be no
water supply from the FRWS. The BMWSS can only meet the criteria under the
most favourable conditions without the supply from the FRWS. The results of
reliability and security criteria under water demand scenarios with A2 and B1
climate conditions are found to be quite similar to that of A1B climate condition for
which the results are presented in Tables D.8.1 to D.8.8 in Appendix D.
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Table 8.5 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under A1B-No water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
SN
Water
demand
scenario
1
2
3
A1B-L1 (50th
percentile)
4
5
6
7
A1B-L1 (5th
percentile)
8
9
10
11
12
A1B-L1 (95th
percentile)
Runoff scenario
MIROC (50th
percentile)
ECHAM 5 (50th
percentile)
CSIRO (50th
percentile)
CCCMA (50th
percentile)
MIROC (95th
percentile)
ECHAM 5 (95th
percentile)
CSIRO (95th
percentile)
CCCMA (95th
percentile)
MIROC (5th
percentile)
ECHAM 5 (5th
percentile)
CSIRO (5th
percentile)
CCCMA (5th
percentile)
With FRWS supply
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
Most probable
60.42
36.67
0.00
0.00
Most probable
83.33
57.92
0.83
0.00
Most probable
90.83
65.42
0.00
0.00
Most probable
62.92
35.83
0.00
0.00
Most favourable
5.42
0.00
0.00
0.00
Most favourable
12.08
0.83
0.00
0.00
Most favourable
12.92
0.83
0.00
0.00
Most favourable
5.00
0.83
0.00
0.00
Worst
93.75
78.75
30.83
5.42
Worst
98.33
92.08
57.92
35.42
Worst
98.75
91.67
74.58
35.42
Worst
93.75
80.00
21.25
3.75
*Orange and green marked values represent failure and pass of the system, respectively
The projected status of future storage conditions of the Blue Mountains dams for the
forecasted water demand scenarios with no water restriction and A1B climate
condition, and for the forecasted runoff scenarios using the climate projection of
MIROC GCM are presented in Figures 8.13 to 8.15. The projected status of the
dams for runoff scenarios using the data of other three GCMs are presented in
Figures D.8.4 to D.8.12 in Appendix D. It can be seen that under the most probable
condition the storage levels would become zero in many time steps without the water
supply from the FRWS. The storage conditions are likely to become more critical
when the climate condition of the ECHAM 5 and CSIRO model would govern in the
future as with these climate conditions frequency of zero storages is relatively high.
On the other hand, it can be seen that under the most probable conditions with the
water supply from the FRWS, storage would not reach to zero level for any of the
assessing time steps. Under the most favourable condition without the FRWS supply,
the storage conditions would be in better position than that of the most probable
conditions. Nevertheless, the storage would become zero in the future for few cases
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CHAPTER 8: Performance of BMWSS
which is also not acceptable. Under the most favourable conditions and with the
FRWS supply, the storage would not be emptied for any of the assessing time steps.
Under the worst condition and without the FRWS water supply the storage volume
would be depleted within a year. Even with the FRWS supply, the storage would
reach zero level in many occasions indicating the conditions are crucial for supplying
adequate water in the future if the worst scenario would occur.
Table 8.6 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System (BMWSS) under A1B-L1 water demand and
four runoff scenarios in the 2021-2040 periods
Without FRWS supply
SN
Water
demand
scenario
1
2
3
A1B-L1 (50th
percentile)
4
5
6
7
A1B-L1 (5th
percentile)
8
9
10
11
12
A1B-L1 (95th
percentile)
Runoff scenario
MIROC (50th
percentile)
ECHAM 5 (50th
percentile)
CSIRO (50th
percentile)
CCCMA (50th
percentile)
MIROC (95th
percentile)
ECHAM 5 (95th
percentile)
CSIRO (95th
percentile)
CCCMA (95th
percentile)
MIROC (5th
percentile)
ECHAM 5 (5th
percentile)
CSIRO (5th
percentile)
CCCMA (5th
percentile)
With FRWS supply
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
Most probable
55.00
30.00
0
0
Most probable
76.67
47.08
0
0
Most probable
87.08
59.58
0
0
Most probable
55.42
28.75
0
0
Most favourable
1.67
0.00
0
0
Most favourable
3.75
0.00
0
0
Most favourable
5.42
0.00
0
0
Most favourable
2.50
0.00
0
0
Worst
92.08
74.58
1.25
0
Worst
97.92
90.42
25.83
0.00
Worst
98.33
89.17
10.00
0.00
Worst
90.83
76.67
0
0
*Orange and green marked values represent failure and pass of the system, respectively
The projected status of future storage conditions of the Blue Mountains dams for
forecasted water demand scenarios with Level 1 water restriction and A1B climate
condition, and for the forecasted runoff scenarios using the climate projection of
MIROC GCM are presented in Figures 8.16 to 8.18. The projected status of the dams
for runoff scenarios using the data of other three GCMs are presented in Figures
D.8.13 to D.8.21 in Appendix D. It can be seen that under the most probable scenario
with no FRWS water supply, the storage level would reach zero level in many cases.
However, with the FRWS supply the storage would be in a good position for the
whole period to supply adequate water. Under the most favourable conditions
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CHAPTER 8: Performance of BMWSS
without the FRWS supply, the storage would not touch the bottom, but in few
instances it would become critical especially with the forecasted runoff using the
ECHAM 5 and CSIRO model projection.
On the other hand, under the most favourable conditions with the FRWS supply, the
storage conditions would be quite sufficient to supply necessary water to the
community. Under the worst scenario and without the FRWS supply, the storage
volume would be depleted within a year similar to the water demand scenarios with
no water restriction as discussed above. Under the worst scenario and with the
FRWS supply, the storage would not be emptied for any of the time steps but it
would reach critical state to supply water with the forecasted runoff using the
ECHAM 5 and CSIRO model projection. However, with the forecasted runoff using
the MIROC and CCCMA climate data, the storage condition would be in a better
position. These results indicate that climate projections by the ECHAM 5 and CSIRO
model would be critical in the future for the management of water supply system.
Table 8.7 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System (BMWSS) under A1B-L2 water demand and
four runoff scenarios in the 2021-2040 periods
Without FRWS supply
SN
Water
demand
scenario
1
2
3
A1B-L1 (50th
percentile)
4
5
6
7
A1B-L1 (5th
percentile)
8
9
10
11
12
A1B-L1 (95th
percentile)
Runoff scenario
MIROC (50th
percentile)
ECHAM 5 (50th
percentile)
CSIRO (50th
percentile)
CCCMA (50th
percentile)
MIROC (95th
percentile)
ECHAM 5 (95th
percentile)
CSIRO (95th
percentile)
CCCMA (95th
percentile)
MIROC (5th
percentile)
ECHAM 5 (5th
percentile)
CSIRO (5th
percentile)
CCCMA (5th
percentile)
With FRWS supply
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
Most probable
50.00
26.25
0
0
Most probable
65.42
39.17
0
0
Most probable
82.50
50.00
0
0
Most probable
46.67
24.58
0
0
Most favourable
0.42
0.00
0
0
Most favourable
1.25
0.00
0
0
Most favourable
0.83
0.00
0
0
Most favourable
1.67
0.00
0
0
Worst
90.83
70.00
0
0
Worst
97.50
88.75
0
0
Worst
98.33
87.92
0
0
Worst
88.33
71.67
0
0
*Orange and green marked values represent failure and pass of the system, respectively
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The projected status of future storage conditions of the Blue Mountains dams for the
forecasted water demand scenarios with Level 2 water restriction and A1B climate
condition, and for the forecasted runoff scenarios using the climate projection of
MIROC GCM are presented in Figures 8.19 to 8.21. The projected status of the dams
for runoff scenarios using the data of other three GCMs are presented in Figures
D.8.22 to D.8.30 in Appendix D. It can be seen that under all the three scenarios: the
most favourable, the most probable and the worst, and with the FRWS supply, the
storage volume would be satisfactory to supply necessary water to the community.
Under the most probable scenario and without the FRWS supply, the storage would
be emptied for many cases. But under the most favourable scenario and without the
FRWS supply, the storage would not be emptied for any of the time steps and would
be in a good position to supply water. However, in the worst scenario and without the
FRWS supply, the storage volume would be depleted within a year similar to the
water demand scenarios with no water restriction and Level 1 restriction. The
projected status of future storage conditions of the Blue Mountains dams for the
forecasted water demand scenarios with Level 3 water restriction and A1B climate
condition, and four forecasted runoff scenarios are found to be quite similar to the
status found with the forecasted water demand scenarios with Level 2 water
restriction, for which the results using MIROC projections are presented in Figures
8.22 to 8.24. The results using the other three GCM projections are presented in
Figures D.8.31 to 8.39 in Appendix D. In addition, the projected status of the Blue
Mountains storages under the water demand scenarios with A2 and B1 climate
conditions are found to be quite similar with the results of A1B-water demand
scenarios, for which some sample results are presented in Figures D.8.40 to D.8.47 in
appendix D.
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CHAPTER 8: Performance of BMWSS
Table 8.8 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System (BMWSS) under A1B-L3 water demand and
four runoff scenarios in the 2021-2040 periods
Without FRWS supply
SN
Water
demand
scenario
1
2
3
A1B-L1 (50th
percentile)
4
5
6
7
A1B-L1 (5th
percentile)
8
9
10
11
12
A1B-L1 (95th
percentile)
Runoff scenario
MIROC (50th
percentile)
ECHAM 5 (50th
percentile)
CSIRO (50th
percentile)
CCCMA (50th
percentile)
MIROC (95th
percentile)
ECHAM 5 (95th
percentile)
CSIRO (95th
percentile)
CCCMA (95th
percentile)
MIROC (5th
percentile)
ECHAM 5 (5th
percentile)
CSIRO (5th
percentile)
CCCMA (5th
percentile)
With FRWS supply
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
Most probable
49.17
24.58
0
0
Most probable
63.33
37.50
0
0
Most probable
81.25
49.58
0
0
Most probable
45.83
24.17
0
0
Most favourable
0.00
0.00
0
0
Most favourable
0.83
0.00
0
0
Most favourable
0.00
0.00
0
0
Most favourable
0.83
0.00
0
0
Worst
90.42
68.75
0
0
Worst
97.50
88.33
0
0
Worst
98.33
87.08
0
0
Worst
87.50
70.83
0
0
*Orange and green marked values represent failure and pass of the system, respectively
The above forecasted results on performance criteria and the status of the Blue
Mountains dams in the future conditions show that under the most probable scenario,
the BMWSS system needs water from the FRWS to supply necessary water to the
community. Without the FRWS, the BMWSS would not be able to provide sufficient
water with the dam storage and inflows, even with the implementation of water
restriction. The results also show that under the most favourable condition, the
BMWSS needs water from the FRWS to supply necessary water if no water
restriction would apply in the future to reduce the demand. On the other hand, if
Level 2 or Level 3 water restrictions are imposed in the future periods, the BMWSS
can supply adequate water to the community without the supply from the FRWS.
The results also show that under the worst scenario, the BMWSS would not be able
to meet the water demand even with the supply from the FRWS if no water
restriction is applied. If Level 2 or Level 3 water restrictions are applied to reduce
demand, the BMWSS would be able to provide adequate water with the FRWS
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supply, otherwise the water from the Warragamba dam need to be pumped to provide
3500
3000
3000
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1500
1000
500
0
Assessment year
a)
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500
0
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2000
Storage volume (ML)
3500
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2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
water to the Blue Mountains region.
Assessment year
b)
Figure 8.13 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (MIROC) scenarios: (a) without
a)
3500
3000
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1500
1000
500
0
Assessment year
b)
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2000
Storage volume (ML)
3500
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2027
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2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
Assessment year
Figure 8.14 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-No) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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CHAPTER 8: Performance of BMWSS
3500
2500
3000
1500
1000
500
0
Assessment year
a)
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500
0
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2000
Storage volume (ML)
3000
2021
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2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Climate change impact on water demand and supply
Assessment year
b)
Figure 8.15 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-No) and runoff (MIROC) scenarios: (a) without the FRWS
a)
3500
3000
3000
2500
2500
1500
1000
500
0
Assessment year
b)
2000
1500
1000
500
0
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2000
Storage volume (ML)
3500
2021
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2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
water supply, (b) with the FRWS water supply
Assessment year
Figure 8.16 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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CHAPTER 8: Performance of BMWSS
3500
3000
3000
2500
2500
1500
1000
500
0
Assessment year
a)
2000
1500
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500
0
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2000
Storage volume (ML)
3500
2021
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2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Climate change impact on water demand and supply
Assessment year
b)
Figure 8.17 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L1) and runoff (MIROC) scenarios: (a) without
a)
3500
2500
3000
1500
1000
500
0
Assessment year
b)
2500
2000
1500
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500
0
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2000
Storage volume (ML)
3000
2021
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2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
Assessment year
Figure 8.18 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L1) and runoff (MIROC) scenarios: (a) without the FRWS
water supply, (b) with the FRWS water supply
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CHAPTER 8: Performance of BMWSS
3500
3000
3000
2500
2500
1500
1000
500
0
Assessment year
a)
2000
1500
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500
0
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2000
Storage volume (ML)
3500
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2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Climate change impact on water demand and supply
Assessment year
b)
Figure 8.19 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (MIROC) scenarios: (a) without
a)
3500
3000
3000
2500
2500
1500
1000
500
0
Assessment year
b)
2000
1500
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500
0
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2000
Storage volume (ML)
3500
2021
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2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
Assessment year
Figure 8.20 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L2) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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CHAPTER 8: Performance of BMWSS
3500
2500
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1500
1000
500
0
Assessment year
a)
2500
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0
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2000
Storage volume (ML)
3000
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2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Climate change impact on water demand and supply
Assessment year
b)
Figure 8.21 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L2) and runoff (MIROC) scenarios: (a) without the FRWS
a)
3500
3000
3000
2500
2500
1500
1000
500
0
Assessment year
b)
2000
1500
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500
0
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2000
Storage volume (ML)
3500
2021
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2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
water supply, (b) with the FRWS water supply
Assessment year
Figure 8.22 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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CHAPTER 8: Performance of BMWSS
3500
3000
3000
2500
2500
1500
1000
500
0
Assessment year
a)
2000
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500
0
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Figure 8.23 Projected status of the Blue Mountains storage under the most
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Figure 8.24 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L3) and runoff (MIROC) scenarios: (a) without the FRWS
water supply, (b) with the FRWS water supply
8.4 Summary
This chapter has forecasted runoff for the period of 2021-2040 in the Blue Mountains
catchments in Australia and estimated the associated uncertainties in the forecasted
results considering four different sources of uncertainties. The uncertainties in the
forecasted runoff results have been reported from an ensemble of four global climate
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models (GCM) (i.e. CSIRO, MIROC, CCCMA and ECHAM 5), two hundred
realisations of downscaled rainfall (i.e. 50 realisations from each of the GCM), two
rainfall-runoff models (AWBM and SIMHYD) and six sets of hydrological model
parameters. This chapter has also evaluated the performances of the Blue Mountains
Water Supply System (BMWSS) with the forecasted water demand and runoff
scenarios in the future periods.
The GCM ensemble has predicted a decrease in the annual average rainfall with a
median value of about -5% and -6% in 2021-2030 and 2031-2040 decades,
respectively, compared to the annual average rainfall in the reference period (19872012). However, some degrees of disagreement have been found in the magnitudes
of the rainfall projections by the four GCMs with noticeable widths of 90%
confidence interval. Results of runoff projections have demonstrated that there would
be less runoff in the Blue Mountains catchments in the future decades. The median
changes (ensemble results) of the annual average runoff were found to be around 34% in the 2021-2040 periods in respect to the reference period. However,
considerable uncertainties in the climate change impact estimates were observed.
Projection of runoff changes using the four GCMs data were found to be in the same
direction (i.e. decrease in runoff). However, considerable differences were found in
the magnitudes of the runoff changes among the four GCMs. On the other hand,
results produced by the two rainfall-runoff models were found to be quite similar to
each other. The results of this chapter are found to be quite comparable to the
findings of similar studies done in Australia on climate change impact on water
resources (e.g. Preston and Jones 2008, Chiew et al. 2009, Vaze et al. 2011,
Silberstein et al. 2012).
Results of uncertainty analysis have demonstrated that choice of the GCMs
dominates overall uncertainty. However, the uncertainty due to the realisation of the
downscaled rainfall data is also found to be noticeably high. Therefore, this type of
uncertainty should be included in the climate change impact studies on water
resources during the assessment of overall uncertainty. In this chapter, the
uncertainty associated with the choice of rainfall-runoff model is found to be quite
smaller in comparison to the GCM and realisation uncertainty. The rainfall-runoff
model parameter uncertainty is found to be the lowest among the four types of
uncertainties considered in this chapter. The uncertainty estimation results have
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demonstrated that one should not rely on only one GCM or single projection of a
GCM in climate change impact studies. Though this study found a small degree of
uncertainty linked to rainfall-runoff models and parameters, it is desirable to include
more than one rainfall-runoff model in the climate change impact assessment.
Performance assessment results of the BMWSS have demonstrated that under the
most probable condition (median forecasted demand + median forecasted runoff), the
BMWSS needs water supply from the Fish River Water Scheme (FRWS) to provide
necessary water to the community. Without the FWRS water supply, the system will
fail even with the implementation of Level 3 water restriction. The results also show
that under the most favourable condition (low forecasted demand + high forecasted
runoff); the implementation of water restriction can play an important role to supply
water to the community without getting water from the FRWS. Moreover, under the
worst scenario, if no water restriction is implemented in future, the BMWSS would
fail even with the supply from the FRWS. Alternative to water restriction, water can
be pumped from the Warragamba dam to the BMWSS to ensure adequate water
supply. The performance assessment results also show that the management of the
BMWSS would be critical if climate scenario projected by the CSRIO and ECHAM5
model would govern in the future.
This chapter could not identify the uncertainty associated with different emission
scenarios and downscaling methods in runoff estimation due to unavailability of the
relevant data. However, this can be conducted when such data becomes available as a
part of the future tasks arising from this PhD study. It should be noted that some
other factors that would have negative effects on runoff (i.e. decrease in runoff) in
the future such as land use change, are not accounted for in this study. Nevertheless,
the results of this chapter provide important insights about the possible runoff
changes and future performance of the BMWSS in the future decades due to
changing climate which would assist the water authorities for better planning and
management of the water supply systems. The methodology presented in this study
can be adapted to other water supply catchments in Australia and elsewhere.
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CHAPTER 9
SUMMARY, CONCLUSIONS AND
RECOMMENDATIONS
9.1 Summary
This thesis has focused on the investigation of climate change impact on future water
demand and water supply. It has developed an integrated methodology to examine
the performance of a water supply system under future climate, water demand and
runoff scenarios. The study used data from the Blue Mountains Water Supply System
in the state of New South Wales, Australia. The objectives of this thesis were
achieved through the completion of the following tasks:
1. Selection of the study area and data collation.
2. Assessing the impacts of water restriction on urban water demand.
3. Forecasting the long term urban water demand in a probabilistic way.
4. Assessing the impacts of climate change on urban water demand.
5. Estimating the calibrated parameter sets and uncertainties in the
calibration of a rainfall-runoff model.
6. Estimating future runoff, uncertainties and future performance of a
water supply system under changing climate conditions.
The brief summary and the conclusions drawn from each of these tasks are presented
in the following sections.
9.1.1 Selection of the study area and data collation
The Blue Mountains region and the Blue Mountains Water Supply System
(BMWSS) were selected as a case study area and case water supply system,
respectively in this research. It is a mountainous region in New South Wales,
Australia, located in west of Sydney. These were chosen because the need for
assessing the climate change impact on future water demand and supply, and the
need for evaluating the future performance of the BMWSS is of great importance, as
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during the recent drought (2003-2009) in Sydney the storage levels of the Blue
Mountains dams were reached at critical position to supply water to the community.
Data related to the historical water demand, water restriction and water conservation
measures were obtained from Sydney Water. Meteorological (e.g. temperature and
rainfall) and Blue Mountains catchments related data (e.g. catchment area and
runoff) were obtained from Sydney Catchment Authority. Moreover, the future
climate data were obtained from the NARCliM project (NSW/ACT Regional
Climate Modelling) in the study area for four Global Climate Models (GCMs):
CSIRO, ECHAM 5, MIROC and CCCMA.
9.1.2 Assessing the impacts of water restriction on urban water demand
Quantitative assessment of the usefulness of water restriction in the residential sector
has been examined (Chapter 4). Two developed methods: Yearly Base Difference
Method (YBDM) and Weighted Average Method (WAM) to simulate water savings
and two existing methods (Before and After Method (BAM) and Expected Use
Method (EUM)) were investigated. It was found that the water savings estimated by
the YBDM method produced better simulation of the historical water demand than
the other methods. The water restriction assessment results showed that the imposed
water restrictions were effective in reducing water demand during the drought
periods in the Blue Mountains region, Australia. The results showed that around 9%,
18% and 20% of water was saved by implementing the Level 1, Level 2 and Level 3
water restrictions, respectively in the single dwelling sector. However, the results
showed that around 4%, 8% and 9% of water was saved for the implementation of
Level 1, Level 2 and Level 3 water restrictions in the multiple dwelling sector
indicating less effect of water restriction on multiple dwelling sector than the single
dwelling sector.
The potential of water savings variables to be included as continuous independent
variables with numerical representation in the water demand forecasting model was
also investigated as these can provide distinct advantages to represent the water
savings programs in a more effective way. The water demand modelling results with
the quantitative values of the water savings showed that the developed models were
capable of forecasting monthly and yearly water demand with a high degree of
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CHAPTER 9: Conclusions
accuracy for both the single and multiple dwelling sectors in the Blue Mountains
region in Australia.
9.1.3 Forecasting the long term urban water demand in a probabilistic way
The study has developed a methodology to forecast long term water demand by
adopting a Monte Carlo simulation technique and by considering the stochastic
nature of the independent variables and their correlation structures (Chapter 5). A
range of water demands were forecasted for the period of 2015 to 2040 under twelve
future water demand scenarios using three future climate scenarios (A1B, A2 and
B1) and four different levels of water restriction conditions. The forecasted water
demand results showed that the future water demand in 2040 would rise by 2% to
33% (median rise by 11%) and 72% to 94% (median rise by 84%) for the single and
multiple dwelling sectors, respectively under the mentioned twelve scenarios in
comparison to water demand in 2010 (base year). The results showed that the water
demand growth rate in multiple dwelling sector is higher than that of single dwelling
sector. The probabilistic forecasting results also showed that the future water demand
might vary by about 11 to 13% and 6% around the median water demand in the
future for the single and multiple dwelling sectors, respectively due to the stochastic
nature of the independent variables.
The forecasted water demand results demonstrated that the future water demand
would not be notably affected by the projected climatic conditions but by an increase
in the dwelling numbers in future i.e. an increase in the total population. The highest
and lowest forecasted water demands for both the single and multiple dwelling sector
were found to be for A1B - no restriction and B1 - Level 3 restriction scenario,
respectively. The probabilistic modelling approach presented in this thesis can
provide more realistic scenarios of forecasted water demands than the deterministic
forecasting, as the probabilistic model provides a range of forecasting results that
may arise in future as opposed to a fixed forecast value from the deterministic model.
Therefore, this probabilistic water demand forecasting model and the range of
forecasting results would assist water authorities in devising appropriate management
strategies to enhance the resilience of the water supply systems.
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9.1.4 Assessing the impact of climate change on urban water demand
This thesis has evaluated the relative influence of independent variables including
climate variables (i.e. temperature and rainfall) on urban water demand (Chapter 6).
Relative influence of the variables on urban water demand was evaluated by
principal component biplot technique. The results showed that the water savings
variables were the dominant drivers in urban water demand. The results also showed
that rainfall had no influence while temperature had some degree of positive
influence on water demand demonstrating a minor influence by the climate variables
on water demand. These results indicate that future water demand would not be
significantly affected by the climate change conditions.
In this study, the plausible impacts of climate change on future water demand have
also been investigated. It was conducted by forecasting the water demand for the
period of 2021-2040 under different future climate conditions and under the current
climate condition (average rainfall and average maximum temperature values for the
period of 1960 to 2010). The forecasted results were compared with that of using the
current climate conditions to estimate the probable climate change impact. The future
climate scenarios considered in this thesis to evaluate the climate change impact
were: (a) three scenarios of CSIRO Mk. 3 GCM: A1B, A2 and B1, and (b) three
hypothetical climate change scenarios: (i) 10C rise in temperature and 10% decrease
in rainfall, (ii) 20C rise in temperature and 20% decrease in rainfall, and (iii) 30C rise
in temperature and 30% decrease in rainfall from current climate conditions.
The climate change impact assessment results showed that the future water demand
would increase by only 0.62% and 0.43% up to the year 2040 due to the climate
projection by the CSIRO GCM for the single and multiple dwelling sectors,
respectively. The assessment results with the hypothetical climate change scenario
also showed that the future water demand would increase by only 1.21% to 3.64%
and 0.57% to 1.72% for the single and multiple dwelling sectors, respectively. These
results demonstrate that the impact of potential future climate change on water
demand would be negligible for the Blue Mountains region in the future.
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9.1.5 Estimating the calibrated parameter sets and uncertainties in the
calibration of a rainfall-runoff model.
This thesis has examined the degree of uncertainties associated with the calibration
and runoff estimation by the Australian Water Balance Model (AWBM) and the
SIMHYD model. Uncertainties were estimated based on different rainfall data sets,
different calibration data lengths and different optimization techniques in the
calibration of the rainfall-runoff models. The uncertainty assessment results showed
that the estimated runoff could vary from -1.3% to 70% owing to different input
rainfall data, -13.74% to 11% owing to different calibration data lengths and -9.04%
to 6.34% owing to different optimization methods adopted in the calibration of the
rainfall-runoff models. These results demonstrate that the performance of the
rainfall-runoff models is significantly affected by the selection of appropriate rainfall
data, followed by the selection of appropriate calibration data length and
optimization algorithm.
This study has also identified three best calibrated parameter sets for the AWBM and
the SIMHYD model, and estimated the runoff for the Blue Mountains catchments
(Katoomba and Blackheath catchment). Runoff estimation results showed that any of
the calibrated parameter sets might be used as they produced similar results.
However, due to the existence of uncertainties, a single set of parameter should not
be used to forecast runoff and to study climate change impact on future runoff. The
results also showed that the runoffs estimated by the AWBM and the SIMHYD
model were comparable indicating negligible uncertainty due to the choice between
these two models.
9.1.6 Estimating future runoff, uncertainties and future performance of a water
supply system under changing climate conditions
Impact of climate change on future runoff in a mountainous catchment (Blue
Mountains) and the associated uncertainties in the forecasted runoff have been
examined in this thesis (Chapter 8). The runoffs were estimated for the period of
2021-2040 and the uncertainties were estimated using a multi-model approach based
on four GCMs (CSIRO, ECHAM 5, CCCMA and MIROC), 200 realisations (50
realisations from each GCM) of downscaled rainfalls, two rainfall-runoff models
(AWBM and SIMHYD) and six sets of model parameters (three sets for each of the
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CHAPTER 9: Conclusions
rainfall-runoff model). The forecasted runoff results demonstrated that there would
be less runoff in the Blue Mountains catchments in the future decades. The mean
annual runoff would reduce in future periods (2021-2040) by 34% in comparison to
that of 1987-2012. However, notable uncertainties were found in the forecasted
runoffs as the ensemble results projected changes of the 5th (dry scenario) and the
95th (wet scenario) percentile by -73% to +27% and -73% to +12% in the decades of
2021-2030 and 2031-2040, respectively. The results also showed a significant
difference in the magnitudes of the runoff forecasted using the climate data from the
four GCMs but showed a similar results obtained by the two rainfall-runoff models.
The uncertainty estimation results showed that the choice of GCMs were the largest
source of uncertainty in the forecasted runoff among others. The uncertainty due to
the internal variability of a GCM (i.e. realisation uncertainty) was also found to be
notably high. Therefore, realisation uncertainty should be examined in the climate
change impact and runoff estimation to provide more accurate forecasting results.
The results also showed that the uncertainty due to the choice of rainfall-runoff
models and the choice of model parameters were quite minimal. However, it is
desirable to include more than one rainfall-runoff model in the climate change
impact assessment and runoff estimation studies to provide more satisfactory results
of runoff estimates. The uncertainty estimation results in the forecasted runoff
showed the overall rank as GCM uncertainty > realisation uncertainty > rainfall –
runoff model uncertainty > rainfall-runoff model parameter uncertainty.
This research has developed a methodology to assess the future performance of a
water supply system based on the forecasted water demand and runoff scenarios
(Chapter 8). The assessment was done under three future conditions: (i) the most
probable (median water demand + median runoff), (ii) the most favourable (low
water demand + high runoff) and (iii) the worst (high water demand + low runoff) in
the 2021-2040. Two cases were considered during the assessment that was (i) the
Blue Mountains Water Supply System (BMWSS) without water supply from the Fish
River Water Scheme (FRWS) and (ii) the BMWSS with water supply from the
FRWS. The results showed that under the most probable condition, the BMWSS
needs water supply from the FRWS to provide the necessary water to the
community. Without the FWRS water supply, the system will fail even with the
implementation of water restriction. The results also showed that under the most
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favourable condition, the implementation of water restriction can play an important
role to supply water to the community without getting water from the FRWS.
Moreover, under the worst scenario, if no water restriction would be implemented in
the future the BMWSS would fail even with the supply from the FRWS. Alternative
to water restriction is the pumping of water from the Warragamba dam to the
BMWSS to ensure adequate water supply. In addition, the results showed that the
supply of necessary water to the Blue Mountains region would be critical if climate
scenario projected by the CSRIO and ECHAM 5 GCM would govern in the future.
The results of this thesis provide important insights about the possible climate
change impact on future water demand and runoff changes, and future performance
of the BMWSS due to changing climate which would assist the water authorities for
better planning and management of the water supply system. The methodology
developed in this thesis to forecast long term future water demand and to estimate the
uncertainties in forecasted runoff, and to assess the future performance of a water
supply system can be adopted to other region and to other water supply system in
Australia and elsewhere in the world.
9.2 Conclusions
This thesis has assessed the impacts of climate change on water demand, catchment
yield and water supply system reliability using a suite of statistical techniques,
hydrological modelling, uncertainty analysis and outputs from GCMs. The following
major conclusions can be drawn from this study:

It has been found that a greater water savings can be achieved by
implementing water restrictions for the single dwelling sector than the
multiple dwelling sector.

It has been found that the impacts of potential future climate change on water
demand could be negligible.

It has been found that future runoff scenarios would be significantly affected
by the climate change conditions.

It has been found that the performance of the rainfall-runoff models is
significantly affected by the selection of appropriate rainfall data, followed by
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CHAPTER 9: Conclusions
the selection of appropriate calibration data length and optimization
algorithm.

It has been shown that a Monte Carlo simulation technique can be used to
forecast long term water demand that can incorporate the stochastic nature of
the independent variables and their correlation structures. This can also
generate probabilistic forecast with a desired confidence band such as 90%.

It has been found that the choice of Global Climate Models (GCMs) is the
largest source of uncertainty in the forecasted runoff among other possible
sources. The uncertainty due to the internal variability of a GCM (i.e.
realisation uncertainty) has also been found to be notably high. The ranking
of various sources of uncertainties are found to be as: GCM uncertainty >
realisation uncertainty > rainfall – runoff model uncertainty > rainfall-runoff
model parameter uncertainty.

It has been found that consideration of future climate change scenarios on
water demand and catchment yield in an integrated fashion can provide
important insights on the reliability and resilience of a water supply system
i.e. when a water supply system may not be able to supply the required
quantity of water. This will help to plan for the future management options
that may be necessary to meet the challenges posed by shortages in the water
supply.
9.3 Recommendations for further study
Quantifying the water savings due to the implementation of water restriction was
conducted in this thesis by developing a method using the data from the Blue
Mountains region. The developed method should be evaluated using the data from
other regions in Australia and elsewhere to enhance its capability.
In the uncertainty analysis of water demand forecast, a Monte Carlo Cross validation
technique should be adopted in future studies to compare the results with the adopted
leave-one-out validation technique.
In this thesis, assessment of climate change impact on water demand and
development of a long term water demand forecasting model was conducted for the
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CHAPTER 9: Conclusions
residential sector. Due to the unavailability of the data from the commercial sector,
the above mentioned task could not be conducted for the commercial sector which
should be undertaken in future.
A future research can be conducted by taking more catchments as samples to
investigate the uncertainties in the calibration of a rainfall-runoff model.
The impacts of uncertainty due to emission scenario and downscaling method in
estimating future runoff should be investigated and compared with the uncertainties
estimated in this thesis to expand the uncertainty rank.
There is an opportunity for future research to forecast runoff and examine the
uncertainties in the forecasted results using the bias corrected climate projection data
from the NARCliM project when it will be available. Thereafter, the results of the
thesis and the bias corrected results should be compared to estimate the bias
correction effect.
Development of a decision support system which can integrate both the demand and
supply projections, and identify the management options that should be implemented
to avoid severe future water shortages.
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UniversityofWesternSydney
Page209
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
APPENDIX A: ADDITIONAL RESULTS
RELATED TO CHAPTER 4
Table A.4.1 Calculation of total water savings by “yearly base difference
method (YBDM)” in 2004 for the single dwelling sector
Number of
dwellings
Per dwelling
consumption
(kL/dwelling/
month) (a)
Average base
water
consumption
(1997-2002)
(kL/dwelling/
month) (b)
Total water
savings
(kL/dwelling
/month) (ba)
Year
Month
Total
consumption
(kL)
2004
1
248877
16156
15.40
1.33
2004
2
230599
16159
14.27
2.46
2004
3
232405
16157
14.38
2.35
2004
4
224836
16161
13.91
2.82
2004
5
227949
16165
14.10
2.63
2004
6
212969
16166
13.17
3.56
16.73
2004
7
219926
16180
13.59
3.14
2004
8
219835
16199
13.57
3.16
2004
9
214197
16215
13.21
3.52
2004
10
221542
16237
13.64
3.09
2004
11
214650
16245
13.21
3.52
2004
12
216043
16260
13.29
3.44
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
Table A.4.2 Monthly average base water use (1997-2002) in the single dwelling
sector
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
19.36
16.26
16.01
15.38
14.87
14.09
14.72
17.33
17.57
18.30
18.42
19.50
Unit in kL/month/dwelling
Table A.4.3 Calculation of total water savings by “before and after method
(BAM)” in 2004 for the single dwelling sector
Year
Month
Per dwelling
consumption
(kL/dwelling/month)
(a)
2004
1
15.40
19.36
3.96
2004
2
14.27
16.26
1.98
2004
3
14.38
16.01
1.63
2004
4
13.91
15.38
1.47
2004
5
14.10
14.87
0.77
2004
6
13.17
14.09
0.91
2004
7
13.59
14.72
1.13
2004
8
13.57
17.33
3.76
2004
9
13.21
17.57
4.36
2004
10
13.64
18.30
4.66
2004
11
13.21
18.42
5.21
2004
12
13.29
19.50
6.22
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Monthly base water
use
(kL/dwelling/month)
(b)
Total water savings
(kL/dwelling/month)
(b-a)
Page211
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
Table A.4.4 Calculation of total water savings by “expected use method (EUM)”
in 2004 for the single dwelling sector
Year
Month
Observed per
dwelling
consumption
(kL/dwelling/mont
h) (a)
2004
Jan
15.40
19.92
4.51
2004
Feb
14.27
18.46
4.19
2004
Mar
14.38
18.81
4.42
2004
Apr
13.91
16.64
2.73
2004
May
14.10
16.38
2.28
2004
Jun
13.17
18.12
4.95
2004
Jul
13.59
15.09
1.49
2004
Aug
13.57
16.12
2.55
2004
Sep
13.21
17.82
4.61
2004
Oct
13.64
16.53
2.88
2004
Nov
13.21
17.66
4.45
2004
Dec
13.29
17.16
3.88
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Expected per
dwelling
consumption
(kL/dwelling/mont
h) (b)
Total water
savings
(kL/dwelling/mont
h) (b-a)
Page212
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
Table A.4.5 Calculation of total water savings by “weighted average method
(WAM)” in 2004 for the single dwelling sector
Water savings by
Water savings by
Water savings by
YBDM
EUM
WAM
(kL/dwelling/month) (kL/dwelling/month) (kL/dwelling/month)
(a)
(b)
(0.5*a+0.5*b)
Year
Month
2004
Jan
1.33
4.51
2.92
2004
Feb
2.46
4.19
3.33
2004
Mar
2.35
4.42
3.39
2004
Apr
2.82
2.73
2.78
2004
May
2.63
2.28
2.46
2004
Jun
3.56
4.95
4.26
2004
Jul
3.14
1.49
2.32
2004
Aug
3.16
2.55
2.86
2004
Sep
3.52
4.61
4.07
2004
Oct
3.09
2.88
2.99
2004
Nov
3.52
4.45
3.99
2004
Dec
3.44
3.88
3.66
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
Table A.4.6 Calculation of water savings from conservation programs implemented in the Blue Mountains region in January, 2007
Water conservation
programs
Average water
savings
per rebate
(kL/month)
Number of
participating
dwelling in
January, 2007
Water
savings in
January,
2007
(kL/month)
WaterFixa
1.74
5073
8827.02
Residential toilet
replacement
1.92
0
0
DIY (Do-it-Yourself) kitsb
0.56
798
446.88
Washing machine
1.54
444.00
683.76
Residential rainwater
tank
3.05
1913.00
5834.65
a
Total
savings
(kL/month)
15792.31
Total number
Per dwelling savings
of dwelling in
(kL/dwelling/month)
January, 2007
18469
0.86
Note: installation of new showerheads, flow restrictors and minor leak repairs undertaken by a licensed plumber.
Note: self-installed flow restrictors.
b
UniversityofWesternSydney
Page214
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
Table A.4.7 Results of leave-one-out cross validation of the developed model for the single dwelling sector
Co-efficient Except,03 Except,04 Except,05 Except,06 Except,07 Except,08 Except,09 Except,10
Constant
b0
1.1790
1.1792
1.1792
1.1817
1.1771
1.1827
1.1784
1.1819
Monthly total rainfall
(X1)
b1
-0.0001
-0.0001
-0.0001
-0.0001
-0.0001
-0.0001
-0.0001
-0.0001
Monthly mean
maximum temperature
(X2)
b2
0.0035
0.0037
0.0037
0.0037
0.0038
0.0036
0.0038
0.0036
Water price (X3)
b3
-0.0090
-0.0119
-0.0119
-0.0145
-0.0087
-0.0148
-0.0114
-0.0128
Water conservation
savings (X4)
b4
-0.0205
-0.0195
-0.0219
-0.0158
-0.0226
-0.0146
-0.0154
-0.0188
Water restrictions
savings (X5)
b5
-0.0305
-0.0303
-0.0295
-0.0306
-0.0300
-0.0308
-0.0313
-0.0305
R2
0.79
0.79
0.79
0.79
0.78
0.77
0.78
0.77
AARE (%)
2.78
1.00
1.15
1.96
1.16
1.52
1.95
0.45
UniversityofWesternSydney
Page215
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXA
Table A.4.8 Results of leave-one-out cross validation of the developed model for the multiple dwelling sector
Co-efficient Except,03 Except,04 Except,05 Except,06 Except,07 Except,08 Except,09 Except,10
Constant
b0
0.9970
0.9991
0.9966
0.9990
0.9955
1.0035
0.9955
0.9951
Monthly total rainfall
(X1)
b1
-0.00004
-0.00004
-0.00004
-0.00005
-0.00005
-0.00004
-0.00005
-0.00004
Monthly mean
maximum temperature
(X2)
b2
0.0016
0.0018
0.0018
0.0018
0.0018
0.0017
0.0019
0.0017
Water price (X3)
b3
-0.0147
-0.0193
-0.0158
-0.0193
-0.0145
-0.0257
-0.0165
-0.0130
Water conservation
savings (X4)
b4
-0.0273
-0.0241
-0.0266
-0.0236
-0.0276
-0.0166
-0.0224
-0.0280
Water restrictions
savings (X5)
b5
-0.0574
-0.0580
-0.0579
-0.0577
-0.0577
-0.0607
-0.0606
-0.0578
R2
0.73
0.73
0.71
0.71
0.68
0.71
0.72
0.71
AARE (%)
1.50
1.35
0.05
1.39
1.93
1.69
2.23
0.57
UniversityofWesternSydney
Page216
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
APPENDIX B: ADDITIONAL RESULTS
RELATED TO CHAPTER 5
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
50th Percentile
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-No Restriction
Figure B.5.1(a) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and no
water restriction condition for the single dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page217
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
50th Percentile
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-Level 1
Figure B.5.1(b) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and no
water restriction condition for the single dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
2100
50th Percentile
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-Level 2
Figure B.5.1(c) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and Level
2 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page218
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
2100
50th Percentile
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-Level 3
Figure B.5.1(d) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and Level
3 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML
3900
3600
3300
3000
2700
2400
50th Percentile
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-No Restriction
Figure B.5.2(a) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and No
water restriction condition for the single dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page219
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
50th Percentile
2100
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-Level 1
Figure B.5.2(b) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and Level
1 water restriction condition for the single dwelling sector in the Blue
Yearly Water Demand in ML/year
Mountains region (grey area in the plot refers to the 90% confidence band)
3900
3600
3300
3000
2700
2400
2100
50th Percentile
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-Level 2
Figure B.5.2(c) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and Level
2 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page220
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
3900
3600
3300
3000
2700
2400
2100
50th Percentile
1800
1500
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-Level 3
Figure B.5.2(d) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and Level
3 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML/year
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-No Restriction
Figure B.5.3(a) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and No
water restriction condition for the single dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page221
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-Level 1
Figure B.5.3(b) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and Level
1 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML/year
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-Level 2
Figure B.5.3(c) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and Level
2 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page222
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
A2-Level 3
Figure B.5.3(d) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for A2 climate scenario and Level
3 water restriction condition for the single dwelling sector in the Blue
Yearly Water Demand in ML/year
Mountains region (grey area in the plot refers to the 90% confidence band)
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-No Restriction
Figure B.5.4(a) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and No
water restriction condition for the single dwelling sector in the Blue Mountains
region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-Level 1
Figure B.5.4(b) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and Level
1 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
Yearly Water Demand in ML
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-Level 2
Figure B.5.4(c) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and Level
2 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXB
Yearly Water Demand in ML/year
400
350
300
250
200
50th Percentile
150
100
2000
2002
2005
2010
2015 2021
Year
2025
2030
2035
2040
B1-Level 3
Figure B.5.4(d) 90% confidence intervals and 50th percentile of the forecasted
total yearly water demands from 2015 to 2040 for B1 climate scenario and Level
3 water restriction condition for the single dwelling sector in the Blue
Mountains region (grey area in the plot refers to the 90% confidence band)
UniversityofWesternSydney
Page225
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXC
APPENDIX C: ADDITIONAL RESULTS
RELATED TO CHAPTER 7
Table C.7.1 AWBM model parameter values for the selected three parameter sets
AWBM
T14
T19
T23
A1
0.134
0.134
0.134
A2
0.433
0.433
0.433
A3
0.433
0.433
0.433
C1
0.31
0.29
0.39
C2
6.3
6.4
7.4
C3
64.2
64.9
75.8
BFI
128.4
129.9
151.6
Kb
0.989
0.983
0.983
Ks
0.4
0.34
0.38
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXC
Table C.7.2 SIMHYD model parameter values for the selected three parameter sets
SIMHYD
T14
T19
T23
BC
0.1640
0.1333
0.1560
IT
0.0089
4.9940
0.0116
IC
73.6826
288.0700
73.1860
IS
0.0018
3.4610
0.0304
IC
0.0060
0.0014
0.0424
PF
0.9790
0.9990
0.9730
RISC
0.0258
4.9930
4.9900
RC
0.3980
0.9866
0.5310
SMSC
127.2450
178.5240
122.0140
UniversityofWesternSydney
Page227
Climatechaangeimpacto
onwaterdem
mandandsup
pply APP
PENDIXD
APPENDIX D: ADDIITIONA
AL RES
SULTS
RELAT
TED TO
O CHAP
PTER 8
0.80
Coefficient of Variation
0.70
0.60
0.50
0.40
0.30
0.20
0.10
0.00
Year
Figure D.8.1 Coeffficient of vvariation (CV) values off the simulat
ated runoffs using
MIROC model data (i.e. realisaation uncerttainty). The red horizonntal line rep
presents
tthe averagee CV value
0.80
Coefficient of Variation
0.70
0.60
0.50
0.40
0.30
0.20
0.10
0.00
Year
Figure D.8.2 Coeffficient of vvariation (CV) values off the simulat
ated runoffs using
presents
CCCMA model dataa (i.e. realisaation uncerttainty). Thee red horizonntal line rep
tthe averagee CV value
Universityo
ofWesternSy
ydney
Page228
Climatechaangeimpacto
onwaterdem
mandandsup
pply APP
PENDIXD
0.80
Coefficient of Variation
0.70
0.60
0.50
0.40
0.30
0.20
0.10
0.00
Year
Figure D.8.3 Coeffficient of vvariation (CV) values off the simulat
ated runoffs using
CSIRO model
m
data (i.e. realisaation uncertaainty). The red horizonntal line reprresents
a)
3500
30000
3000
25000
2500
20000
15000
10000
5000
0
Asssessment yearr
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
35000
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
tthe averagee CV value
b)
Assesssment year
Figure D.8.4 Projected statu
us of the Blu
ue Mountains storagee under thee most
probablee scenario (Demand:
(
550th percen
ntile + Runo
off: 50th perrcentile) ussing the
forecaasted water demand (A
A1B-No) an
nd runoff (ECHAM
(
55) scenarioss: (a)
wiithout the FRWS
F
wateer supply, (b)
( with thee FRWS w
water supply
y
Universityo
ofWesternSy
ydney
Page229
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
2500
3000
2000
1500
1000
500
0
2500
2000
1500
1000
500
0
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3000
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Assessment year
b)
Figure D.8.5 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (CSIRO) scenarios: (a) without
a)
3500
3000
3000
2500
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.6 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-No) and runoff (CCCMA) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
Page230
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
3000
3000
2500
2500
2000
1500
1000
500
0
2000
1500
1000
500
0
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Assessment year
b)
Figure D.8.7 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-No) and runoff (ECHAM 5) scenarios: (a)
a)
3500
3000
3000
2500
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
without the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.8 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-No) and runoff (CSIRO) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
Page231
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
3000
3000
2500
2500
2000
1500
1000
500
0
2000
1500
1000
500
0
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Assessment year
b)
Figure D.8.9 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-No) and runoff (CCCMA) scenarios: (a) without
a)
3500
2500
3000
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3000
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.10 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-No) and runoff (ECHAM 5) scenarios: (a) without the
FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3000
3500
2500
3000
2000
1500
1000
500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
2500
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Storage volume (ML)
Assessment year
b)
Figure D.8.11 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-No) and runoff (CSIRO) scenarios: (a) without the FRWS
3000
3500
2500
3000
2000
1500
1000
500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
a)
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Storage volume (ML)
water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.12 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-No) and runoff (CCCMA) scenarios: (a) without the
FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
3500
3000
3000
2500
2500
2000
1500
1000
500
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
2000
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Storage volume (ML)
Assessment year
b)
Figure D.8.13 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (ECHAM 5) scenarios: (a)
a)
3500
3000
3000
2500
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
without the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.14 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (CSIRO) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
Page234
ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
3500
3000
3000
2500
2500
2000
1500
1000
500
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
2000
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Storage volume (ML)
Assessment year
b)
Figure D.8.15 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L1) and runoff (CCCMA) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
3500
3000
3000
Storage volume (ML)
2500
2000
1500
1000
500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
a)
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
b)
Assessment year
Figure D.8.16 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L1) and runoff (ECHAM 5) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
3000
3000
2500
2500
2000
1500
1000
500
0
2000
1500
1000
500
0
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Assessment year
b)
Figure D.8.17 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L1) and runoff (CSIRO) scenarios: (a) without
a)
3500
3000
3000
2500
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.18 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L1) and runoff (CCCMA) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3500
2500
3000
2000
1500
1000
500
0
2500
2000
1500
1000
500
0
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3000
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Assessment year
b)
Figure D.8.19 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L1) and runoff (ECHAM 5) scenarios: (a) without the
a)
3500
2500
3000
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3000
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.20 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L1) and runoff (CSIRO) scenarios: (a) without the FRWS
water supply, (b) with the FRWS water supply
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
3000
3500
2500
3000
2000
1500
1000
500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
0
2500
Assessment year
a)
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
Storage volume (ML)
Assessment year
b)
Figure D.8.21 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L1) and runoff (CCCMA) scenarios: (a) without the FRWS
water supply, (b) with the FRWS water supply
3500
3000
3000
Storage volume (ML)
2500
2000
1500
1000
500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
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Storage volume (ML)
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b)
Assessment year
Figure D.8.22 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (ECHAM 5) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply
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Storage volume (ML)
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b)
Figure D.8.23 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (CSIRO) scenarios: (a) without
a)
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Storage volume (ML)
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Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.24 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L2) and runoff (CCCMA) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Storage volume (ML)
b)
Assessment year
Figure D.8.25 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L2) and runoff (ECHAM 5) scenarios: (a)
a)
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Storage volume (ML)
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Storage volume (ML)
without the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.26 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L2) and runoff (CSIRO) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Storage volume (ML)
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Storage volume (ML)
Assessment year
b)
Figure D.8.27 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L2) and runoff (CCCMA) scenarios: (a) without
a)
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Storage volume (ML)
3500
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Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.28 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L2) and runoff (ECHAM 5) scenarios: (a) without the
FRWS water supply, (b) with the FRWS water supply
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Storage volume (ML)
Assessment year
b)
Figure D.8.29 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L2) and runoff (CSIRO) scenarios: (a) without the FRWS
a)
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Storage volume (ML)
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Storage volume (ML)
water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.30 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L2) and runoff (CCCMA) scenarios: (a) without the FRWS
water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Storage volume (ML)
Assessment year
b)
Figure D.8.31 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (ECHAM 5) scenarios: (a)
a)
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Storage volume (ML)
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Storage volume (ML)
without the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.32 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (CSIRO) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Storage volume (ML)
Assessment year
b)
Figure D.8.33 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A1B-L3) and runoff (CCCMA) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
3500
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Storage volume (ML)
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Assessment year
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2040
Storage volume (ML)
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b)
Assessment year
Figure D.8.34 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L3) and runoff (ECHAM 5) scenarios: (a)
without the FRWS water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
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Storage volume (ML)
Assessment year
b)
Figure D.8.35 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L3) and runoff (CSIRO) scenarios: (a) without
a)
3500
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Assessment year
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Storage volume (ML)
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Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.36 Projected status of the Blue Mountains storage under the most
favourable scenario (Demand: 5th percentile + Runoff: 95th percentile) using the
forecasted water demand (A1B-L3) and runoff (CCCMA) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Assessment year
b)
Figure D.8.37 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L3) and runoff (ECHAM 5) scenarios: (a) without the
a)
3500
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Assessment year
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Storage volume (ML)
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Storage volume (ML)
FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.38 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L3) and runoff (CSIRO) scenarios: (a) without the FRWS
water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Assessment year
b)
Figure D.8.39 Projected status of the Blue Mountains storage under the worst
scenario (Demand: 95th percentile + Runoff: 5th percentile) using the forecasted
water demand (A1B-L3) and runoff (CCCMA) scenarios: (a) without the FRWS
a)
3500
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Assessment year
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Storage volume (ML)
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Storage volume (ML)
water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.40 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-No) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Assessment year
b)
Figure D.8.41 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-L1) and runoff (MIROC) scenarios: (a) without
a)
3500
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Assessment year
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Storage volume (ML)
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Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.42 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-L2) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Assessment year
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Storage volume (ML)
Assessment year
b)
Figure D.8.43 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (A2-L3) and runoff (MIROC) scenarios: (a) without
a)
3500
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Storage volume (ML)
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Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.44 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-No) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
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Storage volume (ML)
Assessment year
b)
Figure D.8.45 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-L1) and runoff (MIROC) scenarios: (a) without
a)
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Assessment year
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500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
the FRWS water supply, (b) with the FRWS water supply
b)
Assessment year
Figure D.8.46 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-L2) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
a)
3500
3000
3000
2500
2000
1500
1000
500
0
Assessment year
2500
2000
1500
1000
500
0
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
3500
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
Storage volume (ML)
b)
Assessment year
Figure D.8.47 Projected status of the Blue Mountains storage under the most
probable scenario (Demand: 50th percentile + Runoff: 50th percentile) using the
forecasted water demand (B1-L3) and runoff (MIROC) scenarios: (a) without
the FRWS water supply, (b) with the FRWS water supply
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.1 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under A2-No water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
59.58
36.67
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
84.58
57.92
0.83
0.00
3
CSIRO (50th
percentile)
Most
probable
90.42
65.83
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
64.58
36.25
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
4.58
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
12.92
0.83
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
15.42
0.83
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
5.42
0.83
0.00
0.00
9
MIROC (5th
percentile)
Worst
93.33
79.17
31.25
5.83
10
ECHAM 5 (5th
percentile)
Worst
98.33
92.08
57.92
37.08
11
CSIRO (5th
percentile)
Worst
98.75
91.25
76.67
36.67
12
CCCMA (5th
percentile)
Worst
94.17
80.42
25.83
6.25
SN
Water demand
scenario
1
2
th
A2-No (50
percentile)
th
A2-No (5
percentile)
A2-No (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.2 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under A2-L1 water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
56.25
30.42
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
76.25
47.08
0.00
0.00
3
CSIRO (50th
percentile)
Most
probable
86.67
59.17
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
55.42
29.17
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
1.67
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
3.75
0.00
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
6.25
0.00
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
2.92
0.42
0.00
0.00
9
MIROC (5th
percentile)
Worst
92.08
75.00
0.00
0.00
10
ECHAM 5 (5th
percentile)
Worst
97.92
90.42
27.50
0.00
11
CSIRO (5th
percentile)
Worst
98.33
89.17
11.25
0.00
12
CCCMA (5th
percentile)
Worst
91.25
76.25
0.00
0.00
SN
Water demand
scenario
1
2
th
A2-L1 (50
percentile)
th
A2-L1 (5
percentile)
A2-L1 (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.3 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under A2-L2 water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
52.08
25.83
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
64.58
39.58
0.00
0.00
3
CSIRO (50th
percentile)
Most
probable
82.50
50.83
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
46.67
24.58
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
0.42
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
1.67
0.00
0.00
0.00
9
MIROC (5th
percentile)
Worst
90.00
70.00
0.00
0.00
10
ECHAM 5 (5th
percentile)
Worst
97.50
88.75
0.00
0.00
11
CSIRO (5th
percentile)
Worst
98.33
87.50
0.00
0.00
12
CCCMA (5th
percentile)
Worst
88.33
72.08
0.00
0.00
SN
Water demand
scenario
1
2
th
A2-L2 (50
percentile)
th
A2-L2 (5
percentile)
A2-L2 (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.4 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under A2-L3 water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
50.42
25.00
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
63.33
37.92
0.00
0.00
3
CSIRO (50th
percentile)
Most
probable
80.42
49.58
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
45.83
24.58
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
0.42
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
0.83
0.00
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
9
MIROC (5th
percentile)
Worst
89.58
68.75
0.00
0.00
10
ECHAM 5 (5th
percentile)
Worst
97.50
88.33
0.00
0.00
11
CSIRO (5th
percentile)
Worst
98.33
87.08
0.00
0.00
12
CCCMA (5th
percentile)
Worst
87.08
71.25
0.00
0.00
SN
Water demand
scenario
1
2
th
A2-L3 (50
percentile)
th
A2-L3 (5
percentile)
A2-L3 (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.5 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under B1-No water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
59.58
35.83
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
84.58
57.50
1.67
0.00
3
CSIRO (50th
percentile)
Most
probable
90.83
66.25
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
64.58
36.25
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
4.58
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
12.92
1.25
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
15.00
0.83
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
5.83
0.83
0.00
0.00
9
MIROC (5th
percentile)
Worst
93.75
79.17
30.83
5.42
10
ECHAM 5 (5th
percentile)
Worst
98.33
92.08
57.92
36.67
11
CSIRO (5th
percentile)
Worst
98.75
91.67
76.67
36.67
12
CCCMA (5th
percentile)
Worst
94.58
80.42
24.17
6.25
SN
Water demand
scenario
1
2
th
B1-No (50
percentile)
th
B1-No (5
percentile)
B1-No (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.6 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under B1-L1 water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
55.42
29.17
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
76.25
47.08
0.00
0.00
3
CSIRO (50th
percentile)
Most
probable
87.50
60.00
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
55.83
29.17
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
1.67
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
3.75
0.00
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
6.25
0.00
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
2.92
0.00
0.00
0.00
9
MIROC (5th
percentile)
Worst
92.08
75.42
0.00
0.00
10
ECHAM 5 (5th
percentile)
Worst
97.92
90.42
27.50
0.00
11
CSIRO (5th
percentile)
Worst
98.33
89.17
11.67
0.00
12
CCCMA (5th
percentile)
Worst
91.25
76.67
0.00
0.00
SN
Water demand
scenario
1
2
th
B1-L1 (50
percentile)
th
B1-L1 (5
percentile)
B1-L1 (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.7 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under B1-L2 water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
51.25
25.83
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
64.58
39.17
0.00
0.00
3
CSIRO (50th
percentile)
Most
probable
82.50
51.67
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
46.67
25.00
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
0.42
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
0.83
0.00
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
1.67
0.00
0.00
0.00
9
MIROC (5th
percentile)
Worst
90.83
70.00
0.00
0.00
10
ECHAM 5 (5th
percentile)
Worst
97.50
88.75
0.00
0.00
11
CSIRO (5th
percentile)
Worst
98.33
88.33
0.00
0.00
12
CCCMA (5th
percentile)
Worst
88.33
72.50
0.00
0.00
SN
Water demand
scenario
1
2
th
B1-L2 (50
percentile)
th
B1-L2 (5
percentile)
B1-L2 (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
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ClimatechangeimpactonwaterdemandandsupplyAPPENDIXD
Table D.8.8 Forecasted values of reliability and security criteria for the Blue
Mountains Water Supply System under B1-L3 water demand and four runoff
scenarios in the 2021-2040 periods
Without FRWS supply
With FRWS supply
Runoff scenario
Assessment
scenario
description
Reliability
(%)
Security
(%)
Reliability
(%)
Security
(%)
MIROC (50th
percentile)
Most
probable
50.00
25.00
0.00
0.00
ECHAM 5 (50th
percentile)
Most
probable
63.33
37.50
0.00
0.00
3
CSIRO (50th
percentile)
Most
probable
81.25
49.58
0.00
0.00
4
CCCMA (50th
percentile)
Most
probable
45.83
24.17
0.00
0.00
5
MIROC (95th
percentile)
Most
favourable
0.00
0.00
0.00
0.00
6
ECHAM 5 (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
7
CSIRO (95th
percentile)
Most
favourable
0.83
0.00
0.00
0.00
8
CCCMA (95th
percentile)
Most
favourable
1.25
0.00
0.00
0.00
9
MIROC (5th
percentile)
Worst
90.42
68.33
0.00
0.00
10
ECHAM 5 (5th
percentile)
Worst
97.50
88.75
0.00
0.00
11
CSIRO (5th
percentile)
Worst
98.33
87.08
0.00
0.00
12
CCCMA (5th
percentile)
Worst
87.08
71.25
0.00
0.00
SN
Water demand
scenario
1
2
th
B1-L3 (50
percentile)
th
B1-L3 (5
percentile)
B1-L2 (95th
percentile)
*Orange and green marked values represent failure and pass of the system, respectively
UniversityofWesternSydney
Page259