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Weather Files for Current and Future Climate 1. Weather Files for Building Simulation ..................................................................................................2 i) Introduction .............................................................................................................................................2 ii) The Example Weather Year (EWY): ...................................................................................................2 iii) The Typical Metrological Year (TMY): .............................................................................................2 iv) International Weather Years for Energy Calculations (IWECs): ......................................................3 v) Test Reference Years (TRY) and Design Summer Years (DSY): .....................................................3 vi) Considerations when using Reference Years......................................................................................6 Climate change and impacts..........................................................................................................................10 i) Introduction ...........................................................................................................................................10 ii) Projections............................................................................................................................................10 iii) Impacts ................................................................................................................................................14 iv) Other Considerations ..........................................................................................................................21 2. Creation and Availability of Future Weather Years.........................................................................22 3. Comparison between UKCP09 and UKCIP02 ...................................................................................23 4. The morphing algorithms ......................................................................................................................25 5. Creation of Future Years using a Weather Generator .....................................................................26 i) Creation of Future Weather Years .......................................................................................................26 ii) Creation of probabilistic weather data................................................................................................27 iii) Implications for Low Carbon Building Design ................................................................................28 6. Appendices ...............................................................................................................................................29 i) Typical Metrological Year Creation ....................................................................................................29 ii) International Weather Years for Energy Calculations (IWECs) Creation .......................................30 iii) Test Reference Years (TRY) and Design Summer Years (DSY) Creation ....................................31 iv) The Morphing Algorithms .................................................................................................................31 v) Creation of Future Weather Files Using the UKCP09 Weather Generator .....................................34 Weather Files for Current and Future Climate Page 1 of 37 1. Weather Files for Building Simulation i) Introduction Building thermal modelling packages such as IES, TAS, Energy Plus etc. need representaion of weather for the location in question. This is used to generater representaive values for energy usage and to show compliance with various building regulations. A reference weather year (variously known as a Test Reference Year (TRY), a Typical Meteorological Year (TMY), a Standard Weather Year or an Example Weather Year (EWY)) is a single year of hourly data (8760 hours), selected to represent the range of weather patterns that would typically be found in a multi-year dataset, i.e. it is an average or typical year for a given location and time frame. It is intended to allow more economical simulation than multi-year datasets, and to form an equitable basis for comparing the predicted typical energy consumptions of different building designs and, in some cases, the typical performance of solar collectors. Definition of a Reference Year depends on its satisfying a set of statistical tests relating it to the multi-year parent dataset from which it is drawn. Some groups have preferred to identify a continuous, 12-month period as typical, whereas others have applied the criteria to individual months, subsequently assembled into a composite 12-month set. Some common types of reference year and their characteristics are listed below. ii) The Example Weather Year (EWY): The first basis for a UK reference Year was developed by CIBSE (Holmes and Hitchen, 1978). This example weather year (EWY) sought to match the characteristics of an entire year in terms of the means and standard deviations of its monthly data to the average monthly values for many years of data (ie. the most average year out of a set of many years of data). An entire contiguous year was chosen to avoid discontinuities in the weather sequence. However, by selecting an entire year as the average there is only a small chance of finding a truly typical year in ~20 years worth of data, which will accurately represent future weather patterns. However, the files are still available for a large number of locations around the world and are still used where there is insufficient data to create a different format of weather file. • Total irradiation on horizontal surface • Diffuse radiation on the horizontal • Daily mean wind speed • Daily maximum dry-bulb temperature • Daily minimum dry-bulb temperature • Daily mean dry-bulb temperature • ‘Infiltration number’ (a function of wind speed and dry-bulb temperature) The selection criteria are relatively simple: to reject any contiguous year with one or more monthly mean values departing more than 2 standard deviations from the long- term monthly mean (e.g. the mean of ~20 or so Januarys under consideration), and then to reject from any remaining years those with the highest deviations from long-term monthly means until only one year remained. iii) The Typical Metrological Year (TMY): The TMY data sets are primarily for the United States. The original TMY data sets were created in 1978 for 248 locations using long-term weather and solar data from the 1952–1975. Later updated in 1994 using data from the 30-year period 1961–1990. The current TMY3 data sets are produced using input data for period 1976-2005 for 239 sites and using data from the period 1991-2005 for another 950 sites. The files are created using a statistical method to chosen the Weather Files for Current and Future Climate Page 2 of 37 most representative months from the 15 or 30 years of data. These months are then combined to form a composite year of weather data. The details of how this is done is given in the appendix. iv) International Weather Years for Energy Calculations (IWECs): The ASHRAE International Weather Years for Energy Calculations (IWECs) are available for 227 locations outside North America and are compiled from up to 18 years worth of data depending on location. The selection criteria for the IWEC files is similar to the TMY selection process but instead uses nine weighted weather parameters, which are shown in the appendix. v) Test Reference Years (TRY) and Design Summer Years (DSY): In the UK we have the Chartered Institution of Building Services Engineers (CIBSE) Test Reference Year (TRY) and Design Summer Year (DSY). The current versions of the TRY and DSY are available for 14 locations around the UK. The TRY is composed of 12 separate months of data each chosen to be the most average month from the 23 years of data, typically 1983 to 2005 but this varies depending upon data availability. The most average months were chosen based on the cumulative distribution functions of the daily mean values of the three parameters: dry bulb temperature (DryT), the global solar horizontal irradiation (GlRad) and wind speed (WS). The daily mean values were determined from the hourly values of each of the parameters for all the months in the years considered. The most average months are again chosen using the Finkelstein-Schafer (FS) statistic to compare the cumulative distribution functions. The FS statistic compares sums the absolute difference between the values for each day in an individual months cumulative distribution function and the overall cumulative distribution function for all the months considered. The months with the smallest FS statistic are chosen as the most average. Hence the average month chosen using the FS statistic can be considered representative of all the years. This process is followed for each month of the year for each parameter in turn. In contrast to the relatively complex method of assembling a TRY, the method of selecting a DSY is very simple. The DSY is a single contiguous year rather than a composite one made up from average months. The CIBSE procedure for selecting a DSY is to calculate the daily mean DryT in the period April to September for each of the 23 years. The DSY is the year with the third hottest April to September period. TRYs and DSYs were produced for 14 locations around the UK, Belfast, Birmingham, Cardiff, Edinburgh, Glasgow, London (Heathrow), Swindon, Leeds, Manchester, Newcastle, Norwich, Nottingham, Plymouth and Southampton. Weather Files for Current and Future Climate Page 3 of 37 Figure 1 Map of the UK on a 5km grid showing mean annual air temperature for the period 1961-1990. The legend shows the temperature scale and the number of grid squares that fall into each temperature range. Figure 1 shows the range of mean annual temperatures across the UK. This is based upon the Perry and Hollis data set, which is available at a 5km resolution for the whole of the UK for the period 1961-1990. The Perry and Hollis data set uses measurements from many locations around the UK and then spatially interpolates between them accounting for altitude, longitude and distance from the coast. As the figure shows there is significant temperature variation cross the UK, not only moving North to South but also variation with altitude and distance form the sea. Figure 2 Map of the South West Region on a 5km grid showing mean annual air temperature for the period 1961-1990. The legend shows the temperature scale and the number of grid squares that fall into each temperature range. Weather Files for Current and Future Climate Page 4 of 37 Focusing more closely on a specific region, in this case the South West (Figure 2) we can observe significant temperature variation just across the region. There is an obvious decrease in temperature on Dartmoor, Exmoor and Bodmin moor, which is not unexpected. The magnitude of the temperature difference is surprising though; the difference in mean temperature for instance between Plymouth and Dartmoor equivalent to the difference in temperature between Plymouth and the South of France. The weather data used for the CIBSE TRY/DSY files is not however based upon the interpolated Perry and Hollis data set, it is based upon real observations of data and hence is limited in the number of weather stations that record all the necessary weather variables. As mentioned previousl TRY/DSY tpe files are avaiable for 14 loactions arround the UK. Figure 3 shows the location of each of the weather stations used to create the CIBSE files. Since for compliance purposes thermal modelling needs to use the geographically closest CIBSE weather file we can draw an area of influence on the map as well. As Figure 3 shows the area represented by each weather file varies considerably. Due to the limited availability of data some areas of the UK are better covered than others, for a country with such a large variation in temperatures over such a small distance this presents a problem. Figure 3 Map of the UK on a 5km grid overlaid with each of the 14 CIBSE TRY/DSY locations and their range of influence. The legend shows how many 5km grid squares are within each range of influence. Comparison between Figure 1 and Figure 3 shows that there is likely to be significant discrepancy between the weather data in the CIBSE file and the weather where the building is actually located. The magnitude of this difference is shown in Figure 4, as we can see the majority of the UK is cooler than the mean temperatures of the 14 TRY/DSY locations. Weather Files for Current and Future Climate Page 5 of 37 Figure 4 Map of the UK on a 5km grid showing the difference in temperature between each 5km grid square and the associated CIBSE TRY/DSY location. The legend shows the difference in temperature and the number of grid squares in each temperature range (based on 1961-1990 data). vi) Considerations when using Reference Years As shown in Figure 4 the use of a limited number of locations for reference weather years can result in a significant discrepancy between the weather file temperature data and the temperatures at a given location. This is partly due to the relatively small number of files available for the UK and also the locations of the weather stations used to create the CIBSE TRYs and DSYs are generally located next to cities. This may seem to be a good idea since this is where the majority of people live and where the majority of buildings are located. However, the weather stations are typically located on hills on the edge of the city, in parks or on the tops of buildings. This means that while the temperatures represented in the weather file are warmer then the surrounding rural areas they are cooler than the temperatures in the centre of the city. This change in temperatures is due to the urban heat island effect, the reduction of green space and improved drainage coupled with an increase of surface area to absorb solar radiation results in urban areas being warmer than their surrounding rural areas. The urban heat island will be covered further later on. Another consideration when using reference weather years representative of the average weather and climate over many years is that the weather file gives no indication of the range of possible conditions. While this is not a massive problem for determining average energy use or typical carbon emissions there are several issues when considering, peak heating loads, human comfort or overheating levels. The following figures show results of a thermal simulation of a typical office design adapted from CIBSE TM36. Data shown for the Plymouth TRY and DSY as well as the base set of weather years from which they were chosen (1983-2004), 2005-2007 are also shown for reference. Figure 5 shows the annual heating energy requirement for the office (bars) and the peak boiler load (squares) for the different weather years. Weather Files for Current and Future Climate Page 6 of 37 The figure shows that the TRY gives a reasonable estimate of the average heating energy used but underestimates the peak load. The use of a single weather file in this case gives no information about the variation between different years. Figure 5 Plot of annual heating energy usage and peak boiler load for different weather years. Figure 6 and Figure 7 show how the mean external and internal temperature vary with different weather years. Remember that the DSY is chosen as the 3rd warmest summer period (April to September inclusive) from the base set of weather years, for Plymouth 1990 is used as the DSY. It is interesting to note that the DSY/1990 is the 3rd warmest outside for the period 1983-2004 but only 5th warmest internally falling to 6th if 2006 is included. Weather Files for Current and Future Climate Page 7 of 37 Figure 6 Plot of mean external temperature (dry-bulb) over the summer period for different weather years. Figure 7 Plot of mean internal temperature for different weather years. Figure 8 shows the variation in hours of overheating for the different weather years. There is a large variation in the hours of overheating between the different years. It is interesting to note that the greatest levels of overheating do not come from the warmest years. This could be due to a number of factors, the highest temperatures do not occur during occupied hours, cloud cover Weather Files for Current and Future Climate Page 8 of 37 limits solar gains during high temperature events in some years or alternately there is sufficient ventilation during high temperature events in some years to cool the building. While the cause of why 1983 has 300 hours more overheating than the DSY (an increase of ~60%) despite being a cooler year externally would require further investigation, the implications are clear. The use of a single reference year to estimate internal conditions and levels of thermal comfort and overheating has its flaws, there is no information about the range of response of the building to changes in weather and hence way to estimate the risk of building failure and the risk to occupants. Figure 8 Hours of overheating (>25°C) for different weather years. Table 1 Implications of using representative weather files for building simulation. Description Only one or two files used (e.g. TRY and DSY) Pros Simple, allows easy comparison with other buildings. Based on previous observations of weather at a location. Data is realistic, as it has already happened. Files are compiled from several years of weather. Files like the TRY are representative of the average weather and climate. Only a few locations available Easy to choose which file to use. Weather Files for Current and Future Climate Cons Can give unrealistic values for energy usage and overheating etc. Limited data available to create representative files. The files are out of date; files like the DSY no longer represent a near extreme warm year. Average files like the TRY ignore natural variation in the weather, no information about the range of variation. Weather at file location is unrepresentative of where building is located. Page 9 of 37 Climate change and impacts i) Introduction There is unequivocal evidence that the climate is changing. Predictions of the world’s climate point to an increasingly warmer world, with greater warming across land and away from the equator (IPCC, 4th Assessment Report, 2007). Climate is defined as the long-term averages and ranges of different weather variables. As such climate change is a difficult concept for people to deal with as generally they think in terms of weather, short-term variations and extremes. The heat wave of 2003 and the associated deaths raised awareness of climate change (the frequency and intensity of heat waves is predicted to increase) and showed that the built environment is an area where adaptation measures are needed. Urban areas have long been known to exhibit their own microclimate dependent on the climate of surrounding rural areas and the radiative heat balance within the urban area. With the current emphasis on low energy buildings and sustainability there is a need to understand how these buildings will fare in the future, will these design continue to be sustainable and use little energy? Increased levels of insulation can save heating energy now and into the future but at the cost of increased overheating risk, consideration needs to be given to how the weather and climate may change and the potential implications of this. The material covered in this lecture will touch upon these issues and provide insight into both the climate change material available and how it can be used to assess climate based risks to buildings and their occupants. ii) Projections IPCC: there is a 50:50 chance that global warming will not exceed 2 °C for stabilisation of CO2-eq at 450ppm. The statement of the Intergovernmental Panel on Climate Change (IPCC) that a stabilisation of atmosphereic greenhouse gases at concentration equivalent to 450ppm of CO2 is often misquoted and misunderstood. If we stabilise at these levels then there is a 50:50 chance that global warming will be less than 2 °C, this also means that there is a 50:50 chance that global warming will be greater than 2 °C. Currently we are at ~430ppm CO2-eq and rising. Figure 9 shows the observed trend in atmospheric CO2 concentration measured at Mauna Loa Observatory Hawaii. The yearly oscillation in CO2 concentration is due to trees, since the majority of the Earths land mass is located in the northern hemisphere the CO2 concentration increases over the winter months while there are less leaves on trees and reduces again in the spring. Weather Files for Current and Future Climate Page 10 of 37 Figure 9 Measured trends in atmospheric CO2, source: Earth Systems Research Laboratory http://www.esrl.noaa.gov/gmd/ccgg/trends/ Globally temperatures have increased 0.8°C since the late 19th century and have risen by 0.2°C per decade over the past 25 years with the 10 warmest years on record all being since 1995. It is very likely that most of the warming has been caused by anthropogenic greenhouse gas emissions and with the current climate change mitigation policies the warming trend is likely to continue with a global temperature rise of 4°C under the A1FI (high) emissions scenario. However recent research has suggested that the actual temperature could be much higher (Anderson, K. and Bows, A., 2008, Philosophical Transactions A, 366, 3863-3882). Some level of climate change is inevitable even if CO2 emissions were to cease tomorrow. This is due to CO2 and other green house gases remaining in the atmosphere for many years and the fact that the climate system is slow to adapt to changes in green house gas concentrations. Current CO2 emissions and typical climate change emissions scenarios are shown in Figure 10 the emissions scenarios were created to represent different socio-economic and political trends and hence different levels of carbon emission. We are currently emitting CO2 at a higher rate than the A1FI emissions scenario, commonly known as the ‘high emissions scenario’ or ‘business as usual’. Weather Files for Current and Future Climate Page 11 of 37 Figure 10 Plot of CO2 emissions predicted under different emissions scenarios overlaid with actual CO2 emissions. CO2 emissions are currently greater than the A1FI emissions scenario. Adapted from Climate Change Scenarios for the United Kingdom: The UKCIP02 Scientific Report. The levels of climate change projected by the IPCC have been adapted for the UK by the Met Office Hadley Centre and the UK Climate Impacts Programme. Their findings are presented in the UK Climate Impacts Programme 2002 Report (UKCIP02) and in the latest 2009 UK Climate Projections (UKCP09). The projected levels of climatic change presented in UKCIP02 and UKCP09 use the period 1961-1990 as a basis. The maps shown in Figure 11 indicate the change in mean annual air temperature as projected by UKCIP02 and UKCP09 under the high emissions scenario by the 2080’s. Not only does the UKCP09 data offer better resolution but it also encompasses a greater range of possible values. Weather Files for Current and Future Climate Page 12 of 37 Figure 11 Comparison of changes in seasonal mean temperature, summer and winter, by the 2080s under High emissions scenarios, from the UKCIP02 report (far left panels) and as projected in UKCP09 (10, 50 and 90% probability level). (© UK Climate Projections, 2009). Probabilistic projections of climate change such as those available from UKCP09 are created using many runs of climate models. A probability density function (PDF) can then be created, giving information about the range and relative likelihood of a certain amount of climate change. This differs from the results presented in UKCIP02, which represent a single outcome. A brief description of the idea of probabilistic climate projections follows, taken from the UKCP09 Briefing Report (available from http://ukclimateprojections.defra.gov.uk/). Weather Files for Current and Future Climate Page 13 of 37 Figure 12 Illustration of how many climate models can give information about the probability of different amounts of climate change. (© UK Climate Projections, 2009). By ordering the results of the different model runs for example by change in mean temperature it is possible to create a cumulative distribution function (CDF) which can be expressed as a percentage. The different UKCP09 percentiles shown in Figure 11 are a representation of the data contained within the CDF curve. The climatic change represented by the 10th percentile is no more or less likely than the 90th percentile, (UKCP09 does not attribute likelihoods to different model runs, each is equally likely) instead the different percentiles the position in the CDF curve. If there are 10000 runs of climate models represented by a CDF curve then the 90 th percentile is the data point for which there are 1000 results with greater climate change and 8999 with less climate change. The UK Climate Impacts Programme defines the different CDF percentiles as follows: unlikely to be less than (10%), unlikely to be greater than (90%), 50% is the central estimate or median, everything between 33% and 66% is generally considered to be equally likely. iii) Impacts There are many possible impacts of climatic change such as increased levels of UV radiation from reduced cloud cover, sea level rise, subsidence, increased intensity of storm events and changing rainfall patterns. However, the main climate change impacts relevant to this lecture series include; changes to mean, maximum and minimum temperatures, increased solar gains, changes in relative humidity and changes wind speed/direction. Changes to wind direction was not included in UKCIP02 and UKCP09 gives no information about wind speed or direction, however, wind data can be derived from other variables [M. Eames, T. Kershaw and D. Coley, 2011, Building Serv Eng Res Technol. In Press]. Changes to these variables can have an effect on building energy usage and levels of overheating which in turn influences human health, comfort and productivity. Figure 13 shows possible changes in temperature of the warmest day and the warmest night. It is entirely possible that these may both occur within a short amount of time during a heat wave. The effect of the reduced diurnal temperature swing on the internal environment of a building could be profound. There are also implications for human health with high temperatures sustained over prolonged periods. During 2003 ~35000 people across Europe died of heat related illness largely caused by the failure of buildings to cool adequately. Weather Files for Current and Future Climate Page 14 of 37 A typical adult human doing light work produces approximately 150W of heat, as temperatures and relative humidity increases it becomes more difficult for the human body to lose heat either by radiation or sweating. Hence core body temperatures can increase if heat loss is inadequate resulting in heat stress and potentially death if prolonged. The termperature increases shown in Figure 13 are a possible result of climate change. Since both of these events are likely to occur during a short period of time (a heat wave) the implications for humans occupying buildings are severe, especially for vulnerable groups such as the elderly or infirm. Figure 13 Plots of change in temperature of the warmest day (left) and warmest night (right). Data shown for the 2080’s, 90th percentile high emissions scenario. There are two main ways to produce future weather files for use in building simulation software: mathematical transformation of historical weather data (morphing) and using a weather generator. Both of these methods have advantages and disadvantages. Weather data from the period 1961-1990 can be mathematically transformed using the monthly estimates of climate change available from UKCIP02/UKCP09. This morphing method produces future weather years with the same weather patterns allowing the impacts of climate change to be assessed independently of weather. However, this method has the disadvantage that if the underlying weather is particularly hot or cold then the morphing method can exaggerate this to the point where the future weather seem unlikely to be realistic. The weather generator can produce future weather years for different future time periods and different emissions scenarios representative weather for the period 1961-1990 can also be produced. The resulting weather files will each have different weather patterns as well as different climate; this may well be more realistic but also more complex to interpret. Weather Files for Current and Future Climate Page 15 of 37 Figure 14 Radiance image of the thermal model used for these examples presented in this lecture. The house shown in Figure 14 is based upon a passivhaus design with air tightness, heating energy and U-values conforming to passivhaus standards. The design utilises large south facing windows to capture winter solar gains and brise soleil to limit summertime solar gains. Figure 15 and Figure 16 show plots of external and internal air temperatures respectively for different projections of climate change. Figure 15 Plots of external air temperature for two weeks in August for 2080’s future weather files created using both the morphing method and using the weather generator. Both the 50th and 90th percentiles are shown for each method. Weather Files for Current and Future Climate Page 16 of 37 Figure 16 Plots of internal air temperature for two weeks in August for 2080’s future weather files created using both the morphing method and using the weather generator. Both the 50th and 90th percentiles are shown for each method. What is shown in Figure 15 and Figure 16 is that the morphing method produces future weather patterns that are easy to compare with other emissions scenarios and current climate as the weather is always the same, if the 10th August is hot in the base data then it will also be hot in the future data as well. This makes the comparison of different climate change scenarios easier and the impacts easier to identify. However, as you can see the morphing procedure can have a tendency to exaggerate extreme events. If the 10th August is very hot then the 10th August in the future weather files will be extremely hot, this is a side effect of the morphing algorithms, which are included later on in these notes for completeness. The weather generator on the other hand produces future time series of weather data that are all individual, this makes comparison between scenarios and time periods difficult and the identification of climate impacts harder to identify. However, since each time series is generated independently they are not prone to the exaggeration exhibited by the morphed files. The inclusion of different weather patterns also results in a somewhat more ‘realistic’ time series of data for modelling purposes as the response of the building is tested by more than one set of data. Weather Files for Current and Future Climate Page 17 of 37 Figure 17 Histograms of internal temperature data for the house (living room) for the 1960-1990 base line data and the 2080’s under the high emissions scenario, showing both the median and upper percentiles for weather generator data and morphed weather data. The histograms shown in Figure 17 show the response of the building to the different future weather files. The histograms show the temperature in °C versus the number of hours in the year than that temperature occurs. As the climate scenarios become more extreme the width of the distribution of temperatures experienced becomes wider. The distribution is stretched not just shifted. In the future we will not only have to deal with hotter temperatures but also a wider range of temperatures. Weather Files for Current and Future Climate Page 18 of 37 Figure 18 Plot of Heating Degree Days for the Plymouth TRY and future weather years for high and medium emissions scenarios at 10th, 50th and 90th percentiles. Figure 19 Plot of Cooling Degree Days for the Plymouth TRY and future weather years for high and medium emissions scenarios at 10th, 50th and 90th percentiles. Weather Files for Current and Future Climate Page 19 of 37 Figure 20 Plot of heating energy usage for the Plymouth TRY and future weather years for high and medium emissions scenarios at 10th, 50th and 90th percentiles. Figure 21 Plot of summertime overheating for the Plymouth TRY and future weather years for high and medium emissions scenarios at 10th, 50th and 90th percentiles. Figure 18 show changes in heating degree days (HDD), cooling degree days (CDD) and some of the common metrics used for assessing building performance for a standard domestic house. Weather Files for Current and Future Climate Page 20 of 37 Three different percentiles of projected future climate are shown for different time periods for the medium and high emissions scenarios. The figures show the level of uncertainty in the climate change predictions, this is not to be confused with errors. Assuming climate models are correct the actual amount of climate change will lie some where between the different points indicated on these graphs. From the values of the 10th, 50th and 90th percentiles shown in the figures we can deduce the shape of the distribution, its width and hence the range of likely climate change impacts for which we must account for in building design. In order to access this information however, we need to run more than a single file representative of future climate. iv) Other Considerations It has long been recognised that urban areas have their own climate and are typically warmer than surrounding non-urban areas. Increased temperatures can lead to heat stroke and other heat related illnesses especially amongst vulnerable groups such as the elderly. The 2003 heatwave caused ~2000 extra deaths across England and Wales. The effect was greatest in urban areas. In London the number of deaths of people aged over 75 increased by 59%. Briefly, buildings store heat gained during the day, both from solar radiation and from human related activity such as traffic exhaust and heat loss from buildings. Also generally, there is a lack of trees and plants in cities (green space), which both provide shade and cool the surrounding environment through the endothermic transpiration of water. Paved areas within the urban area also increases run off reducing evaporation of water and improved drainage limits the amount of blue space (ponds and lakes) in the urban area. The amount of heat absorbed depends greatly upon the orientation of the buildings, their size and the materials used in their construction as well as the amount of anthropogenic heat released from buildings and even metabolic heat from people. Heavy weight materials such as concrete or stone with a high admittance are capable of absorbing heat readily for storage and re-emission later. The rate of absorption and re-emission depends upon the emissivity of the material not only in the visible region but also in the infra-red regions. The majority of the heat that contributes to the urban heat island comes from absorption of solar radiation which has approximately half of its power located in the visible regions and the other half in the near infra-red region. This is known since the magnitude of the urban heat island is similar in summer to that in winter, so we can deduce that anthropogenic heat release in the urban area is a relatively minor contributor to the heat island effect. The stored heat is radiated at night artificially warming the urban area above surrounding rural areas. Many buildings are designed to store heat in this way to regulate their internal temperatures limiting heating (and cooling) energy required. The geometry of most urban areas (tall buildings and narrow streets) means that buildings provide large areas for absorption of heat but limit the ease with which the heat can be lost via radiation and convection (the “canyon effect”). The temperature difference between an urban area and the non-urban (rural) surroundings is referred to as the urban heat island (UHI), and has a maximum value at night when air temperatures are at their minimum. Non-urban areas warm more quickly than urban areas, but also cool more rapidly at night. The urban heat island for London was measured to be ~2°C almost 200 years ago, 4-6°C in the 1960’s and was measured to be as high as 9°C during the heatwave of 2003. This increase is due not only to the increase in energy used by buildings within urban areas but also typically taller buildings that are more densely packed. This increase of the urban heat island and the associated deaths is an indication of the failure of buildings and urban planning to regulate internal temperatures within safe limits. It is important to note that climate change predictions do not include any information about the urban heat island and that the UKCP09 weather generator and historical observations of weather used in weather files typically do not contain the urban heat island due to the fact that the observing weather station is usually located outside the urban area. Weather Files for Current and Future Climate Page 21 of 37 There has been some research into the use of roof top gardens to cool buildings and negate the effects of the urban heat island. The research has showed that the greening of a roof reduced surface temperatures by up to 60°C and the heat flux through the roof due to solar radiation by up to 366 kJ/m2 over a day; this in turn reduced internal air temperatures. Other studies have considered the effects of increased urbanisation in Germany, the research considered the reduced evaporation of water as a result of increased urbanisation (replacing green fields) and equated this to an effective heat release of 50 TWh per annum per km2. Clearly this net increase in heat present in the urban area will have profound effects on the urban heat island and on the buildings within the urban area. There are however remedies, in Ho Chi Minh City (Vietnam) urban planning guidelines are in place for urban expansion to improve air quality and to remediate the urban heat island effect within such a large and rapidly growing urban area. Sectors of the city have been laid out on a grid with parks surrounded by low-rise buildings, with building size increasing radially. The aim being that all buildings have a direct line of sight to the green space. This layout is intended to allow buildings to shed heat effectively and to be exposed to the cooling effects of the green space. This is a similar idea to the courtyards and pools present in Moorish architecture. However, details of the effectiveness of these measures are scarce and the effects of such a small area on the urban heat island of a city the size of Ho Chi Minh are currently unknown. Since the magnitude of the urban heat island and projections of climate change are comparable then adaptation measures for one should be applicable to the other. Increased use of airconditioning will only further exacerbate the problem so it may be possible to consider the adaptation of the surrounding urban environment to cool buildings. Such adaptation measures that increase the amount of green and blue space around buildings and potentially within buildings could prove to be a cost effective measure against climate change by cooling the surrounding area and providing shade. However, current thermal simulation software packages do not allow for the explicit modelling of evaporation or green and blue space. 2. Creation and Availability of Future Weather Years The two sets of climate change data currently available for the UK are UKCIP02 and UKCP09 both created by the Met Office in conjunction the UK Climate Impacts Programme (UKCIP). The UKCIP02 scenarios consist of a set of climate change data for the 2020s, 2050s and 2080s for four different global carbon emission scenarios; low, medium-low, medium-high and high emissions which are related to the original IPCC scenarios B1, B2, A2 and A1F1 respectively. The baseline period to which the UKCIP02 climate change data relates is a simulated timeframe representing the years 1961 to 1990. CIBSE sell future weather files created using the UKCIP02 data and the 14 TRY/DSY files, since the base data carries copyright the future files do also since the weather patterns have not changed hence there is a cost attached to obtaining these files. However, Southampton University have a free tool that can be used to morph TRY and DSY files, this tool is available from the UKCIP02 website or from Southampton University. Note you still need to have copies of the base TRY and DSY data. Currently the only UKCP09 future climate files compatible with building simulation models available is from the University of Exeter created as the result of a funded research project (PROMETHEUS). The UKCP09 data as discussed earlier is probabilistic and can be used to provide far more information than the UKCIP02 data. The method used to create these files uses the UKCP09 weather generator rather than a morphing method so the resultant files are free of copyright and are available for download from the PROMETHEUS website (http://centres.exeter.ac.uk/cee/prometheus/downloads.html). The methodology used to create these files and generate the missing variables is included later for completeness. Since the UKCP09 weather generator has a resolution of 5km over the whole of the UK it is possible to Weather Files for Current and Future Climate Page 22 of 37 create many more weather files than possible if using observed data. Currently future weather files are available for 35 locations around the UK and more will be added as they are created, Figure 22 shows the distribution of available future weather files created by Exeter University. The methodology for the creation of these files has been peer-reviewed and has been published (M.Eames, T.Kershaw and D.Coley, 2011, Building Serv. Eng. Res. Technol. In Press). Figure 22 Map of the UK showing the locations of available UKCP09 future weather files. A single run of the UKCP09 weather generator outputs 3000 weather years of data. This comprises of 100 samples of future climate each augmented with 30 years of generated weather. Since the climate is the same for each sample it is possible to create TRY and DSY type files from each set of 30 years using the methodology described earlier. This results in the creation of 100 TRY and 100 DSY type files, one for each sample of climate but representing either typical weather patterns or a near extreme summer the same as the original CIBSE TRY/ DSY files. To create probabilistic future weather files (the probabilistic information is the main benefit of UKCP09 over UKCIP02) the 100 TRY and DSY files are disassembled into their constituent months and ordered according to increasing monthly mean air temperature (Dry Bulb). Probabilistic files are then assembled by selecting different percentiles, i.e. to create the 50th percentile file, from the ordered Januarys the 50th file is selected and combined with the 50th February, March etc, this process is termed pointwise intervals. This is done for 10th, 33rd, 50th, 66th and 90th percentiles to map out the whole distribution. The entire process can be summarised by the flowchart in the appendix. 3. Comparison between UKCP09 and UKCIP02 Here we show a comparison between the resultant files created using the different methods. Figure 23 shows the distribution of heating energy requirement for the house. As can be seen from the figure the UKCP09 weather generator TRY files show a distribution of monthly Weather Files for Current and Future Climate Page 23 of 37 heating energy requirement, which is similar to that produced by the CIBSE future TRY based on UKCIP02. It also demonstrates that the 90th percentile TRY uses the least heating energy in every month as expected due to warmer external air temperatures. Figure 23 Plot of the monthly heating energy requirement of the building for the different weather generator (WG) TRY files and the CIBSE future TRY (UKCIP02). Data shown is for London in 2050 under high emissions scenario. Weather Files for Current and Future Climate Page 24 of 37 Figure 24 Plot of the mean internal air temperature for the different future DSY and TRY percentiles (black circles) and the equivalent CIBSE future files (blue circles). Data shown is for Edinburgh under high emissions scenario. The distribution of mean internal temperatures for all the different weather generator files and the CIBSE future files for Edinburgh is shown by Figure 24. The shape of the distribution of the different percentiles can be seen, indicating that the shape of the CDF curve of the sorted weather generator data is translated into the internal environment in the thermal simulation. It is interesting to note that the CIBSE future TRY produces results towards the higher percentiles of the weather generator as shown by Figure 23 and Figure 24. This may be an indication of the over estimation mentioned earlier as a result of the files being morphed since the climate may have changed between the 1961-1990 period and the period from which the TRY is chosen, typically 1983-2004. 4. The morphing algorithms Based on the UKCIP02 data output, Belcher et al [Building Serv. Eng. Res. Technol. 26 49 (2005)] have developed a methodology for transforming CIBSE TRY and DSY weather files in to climate change years. Hourly CIBSE weather data for the current climate is adjusted with the monthly climate change prediction values of the UKCIP02 emission scenario datasets. This methodology is termed ‘morphing’. The basic underlying process for the morphing of the weather files consists of three different algorithms depending on the parameter to morphed. 1) a ‘shift’ of a current hourly weather data parameter by adding the UKCIP02 predicted absolute monthly mean change. x = x0 + Δxm where x is the future climate parameter, x0 the original present-day parameter and Δxm the absolute monthly change according to UKCIP02. This method is, for example used for adjusting atmospheric pressure. 2) a ‘stretch’ of a hourly weather data parameter by scaling it using the UKCIP02 predicted relative monthly mean change. x = αmx0 where αm is the fractional monthly change according to the UKCIP02 scenarios. This is used for example to morph present-day wind speed values. 3) a combination of a ‘shift’ and a ‘stretch’ for current hourly weather data. In this method a current hourly weather data parameter is shifted by adding the UKCIP02 predicted absolute monthly mean change and stretched by the monthly diurnal variation of this parameter. x = x0 + Δxm + αm(x0 – 〈x0〉m) = 〈x0〉m + Δxm + (1 + αm)( x0 – 〈x0〉m) where 〈x0〉m is the monthly mean related to the variable x0 and αm is the ratio of the monthly variances of Δxm and x0. This method is for example used to adjust the present-day dry bulb temperature. It uses the UKCIP02 predictions for the monthly change of the diurnal mean, minimum and maximum Dry T in order to integrate predicted variations of the diurnal cycle. Weather Files for Current and Future Climate Page 25 of 37 It needs to be noted however, that the approach of morphing present-day weather data with monthly climate change predictions misses details of potential future changes in diurnal weather patterns or the extent of future extreme weather events such as heat waves etc. The morphing algorithms used for each of the different weather variables can be found in the appendix. 5. Creation of Future Years using a Weather Generator Based on the UKCP09 probabilistic change factors over land, a stochastic climate change weather tool has been produced by the University of Newcastle to generate weather files with either a daily or hourly time series. The weather signal is created by using daily precipitation as the primary variable while other variables are created using mathematical and statistical relationships with daily precipitation and the previous day’s values. The general procedure uses the baseline climate (1961 – 1990) to calibrate the weather generator rainfall model, then; change factors are applied to generate the future precipitation. Finally the other variables are calculated conditioned by the precipitation and appropriate UKCP09 change factors. The hourly data is then disaggregated from the daily signal using relationships derived from observations. It must be noted that although the climate change information is given on a 25 km grid, the addition of a 5 km grid for the weather generator allows for changes in local topology and is based on observations which have been spatially interpolated onto the same 5 km grid but does not give any further climate information other than the 25 km grid. The weather generator outputs nine variables for the daily signal: daily precipitation, maximum temperature, minimum temperature, sunshine fraction, vapour pressure, relative humidity, direct radiation, diffuse radiation and potential evapotranspiration (PET). Where as the hourly signal contains the variables hourly precipitation, temperature, vapour pressure, relative humidity, sunshine fraction, diffuse radiation and direct radiation. However, to create a weather file of the same format as the CIBSE reference years, wind speed, wind direction, air pressure and cloud cover need to be generated in a consistent manner with the rest of the weather signal. These variables will be discussed in the appendix. i) Creation of Future Weather Years The key difference between the UKCIP02 and UKCP09 sets of projections is the use of probabilistic information within UKCP09, such probabilities represent a random sampling of a probability distribution function and hence, the likelihood of a certain amount of climate change. At each location (25 km grid square), decade and emissions scenario, 10,000 equiprobable realisations (samples of the probability density function) have been generated relating changes in climatic parameters. This makes the creation of future weather files more complicated than UKCIP02 as now many future weather years can be realised from the vast number of change factors available. The weather generator, for each run, randomly samples from the 10,000 change factors available and creates a stationary thirty year time series, thirty years of naturally varying weather with the addition of a single sample of climate change on top. The UKCP09 weather generator will output 100 randomly chosen samples of climate data chosen from the set of 10,000. One hundred samples results in an hourly time series of 3,000 equi-probable future weather years. However, it is difficult to visualise what the complete set of 3,000 years of data looks like and there is a large computational burden of using all 3,000 years within modelling software so an appropriate method for the selection of future reference weather years is required. To create future weather years from the weather generator output a similar method is employed to create test reference years and future design summer years. The UKCP09 weather generator produces 100 sets of 30 years on a daily time series. Then using a disaggregation procedure an hourly time series is then produced. Each set of thirty years, although stochastically produced to include natural variability, is stationary with regard to the climate change signal incorporated within it. This means that at the beginning of the weather generator run the future climate signal Weather Files for Current and Future Climate Page 26 of 37 is selected randomly from the probability density function of possible future climates including the inter variable relationships between different weather parameters. So each sample of 30 years includes a different realisation of a future climate. For each sample of 30 years, the design summer year is calculated in a similar manner to the one used to order the observations. For each year in the set, the mean temperature from April to September inclusive is calculated. The original design summer year was chosen as the third warmest from a set typically of 21 years (i.e the 19 th) and is the 90th percentile. Since the weather generator produces a larger set, to maintain the same relationship the 90th percentile is chosen, but in this case this is the fourth warmest April to September period in the thirty year set. The CIBSE test reference year method considers the most average months based on daily means of dry bulb temperature, global solar radiation and wind speed using the FS statistical method. Using the weather generator the mean daily dry bulb temperature is calculated by taking the average of the daily minimum temperature and the daily maximum temperature and the wind speed is calculated from PET using a rearrangement of eqn. 1. For most of the original test reference years, global radiation was not available and was calculated from solar radiation models and the cloud cover and thus, originally cloud cover is used within the FS statistics. This is similar in the weather generator where global solar radiation is not a direct output of the weather generator but calculated from solar models and sunshine hours and therefore the variable sunshine hours is used within the FS statistic for our method. By finding the most average 12 months within each set of thirty years (in the case of the TRY), the tails of the distribution (extremes) of natural variability are removed leaving an idea of the climate signal in an average year while making an estimate of a near extreme year (design summer year) gives an idea of the extremes of natural variability on top of the climate signal. The end result is a set of 100 test reference years and 100 design summer years, one from each of the thirty-year samples, each with a different climate signal. ii) Creation of probabilistic weather data When the weather generator samples from the complete probability density function, the climate change factors (differences between the base climate from 1961 to 1990 and the required future time period) include many inter-variable relationships. For the weather generator this includes monthly, seasonally and annual changes to precipitation, relative humidity, mean air temperature, maximum air temperature, minimum air temperature and total cloud cover. For a realisation of a future climate these inter-variable relationships must be maintained. Also a probabilistic weather file must give careful consideration to changes over the entire year. For instance, considering just air temperature; a yearly change in mean air temperature does not give an idea of the distribution of the change in mean monthly air temperature. An overall warming of 2°C over the year could be the result of all months being slightly warmer or a colder first six months combined with extreme positive change factors for the second six months could lead to the same overall yearly change. This could raise problems when the weather files are used, especially if only part of the year is under consideration, i.e. summer overheating. To create probabilistic weather years, which maintain the climate signal and keep a consistent weather signal over the year, appropriate percentiles can be chosen using pointwise intervals for each month using a single climatic variable. If each variable is ranked separately and combined, although the central estimate for each variable would be used, it would discount joint probabilistic information. i.e. combining the 50th percentile of mean monthly temperature change with the 50th percentile of relative humidity change could be incredibly unlikely and could give an unrealistic climate change. In this paper we will consider pointwise intervals on the mean monthly temperature only. It is just as valid to use any of the other variables as discussed above dependent on which variable is required for the analysis of risk but for simplicity we are considering mean temperature only. For both the sets of 100 design summer years and 100 test reference years each month is ordered according to the mean monthly Weather Files for Current and Future Climate Page 27 of 37 temperature (the average of the mean daily temperatures over that month), ranked from lowest to highest and then the required percentile (e.g. 50th, 90th etc) are selected. The process is repeated for each month with data selected at the required percentile to produce either a probabilistic test reference year or probabilistic near extreme weather year as required. For every month the mean monthly temperature is ordered and the required percentile is selected. The other variables, which correspond to this value of mean monthly temperature, are then also taken as the complete data file for the month. The months with the corresponding hourly time series are then joined together to form the future weather year using the method outlined by Levermore, i.e. from the set of 100 TRY files ordered by mean monthly temperature the 50th percentile January is joined to the 50th percentile February etc to create a composite year. Using this method the temperature series show a clear trend where the mean monthly temperature is always greatest for the 90th percentile and the 50th percentile is the central estimate and always above the 10th percentile. However, no trend will be found for the other weather variables. This method gives temperatures across the year, which are consistent (i.e median January followed by a median February etc) but maintains the climate signal of the variables. Using this method it is extremely unlikely that the concurrent months occur from the same generated test reference year or design summer year (with 100 different samples, there is a 1 in 10,000 chance of a median January followed by a concurrent median February) but does give a good indication of a median temperature change for the future. This method ensures that the whole year is ‘median’ (50th percentile) eliminating extremes for the given percentile. In this method using a high percentile test reference year such as the 90th gives an indication of the extent of likely future warming (UKCP09 defined the 90th percentile as unlikely to be greater than) and likewise the 10th percentile give an idea of the likely minimum change (unlikely to be less than) with current theories and models. Using this method a 90th percentile design summer year gives a near extreme weather year in terms of natural variability (90th percentile of natural variability) with a near extreme climate signal. iii) Implications for Low Carbon Building Design Table 2 Pros and Cons of using future weather files to model buildings and possible implications for low carbon building design. Description Weather files available for future climate. More locations available. Files are probabilistic. The files available in TRY and DSY format. Distributed freely. Pros Allows design decisions to be made to account for future conditions. Can design buildings to be low carbon in the future as well as now. Weather files more representative of where the building is located. Allows the full range of possible climate change to be explored. Risk based analysis. Allows easy comparison with files used to show compliance. Files contain average weather allowing probability levels to explore climate only. Easily available, no cost except that of time for extra simulations. Weather Files for Current and Future Climate Cons Extra files can be confusing. The concept of probabilistic climate change can be confusing. Representative weather files lose information about the range of possible weather. Heatwaves, cold spells etc. Page 28 of 37 6. Appendices i) Typical Metrological Year Creation Step 1 - For each month of the calendar year, five candidate months with cumulative distribution functions (CDFs) for the daily indices that are closest to the long-term (15 or 30 years depending on location) average CDFs are selected. Candidate monthly CDFs are compared to the long-term CDFs by using the following Finkelstein- Schafer (FS) statistics (Finkelstein and Schafer 1971) for each index. n ( )#" FS = 1 n i i=1 where, δi = absolute difference between the long-term CDF and the candidate month CDF on any given day. ! in a month. n = the number of daily readings The FS method is superior to just using means to chose the most average as it chooses months with less extreme values that have a cumulative distribution function closer to that of all the years considered. Since some weather parameters are judged more important than others, a weighted sum (WS) of the FS statistics is used to select the five candidate months that have the lowest weighted sums. WS = " w i FSi where, wi = weighting for index FSi = FS statistic for each weather parameter. ! Table 3 TMY3 FS statistic weighting factors for different weather parameters. Global radiation 5/20 Direct radiation 5/20 Wind velocity (maximum) 1/20 Wind velocity (mean) 1/20 Dew point (maximum) 1/20 Dew point (minimum) 1/20 Dew point (mean) 2/20 Dry bulb temperature (maximum) 1/20 Dry bulb temperature (minimum) 1/20 Dry bulb temperature (mean) 2/20 Weather Files for Current and Future Climate Page 29 of 37 Step 2 - The five candidate months are ranked with respect to closeness of the month to the long-term mean and median. Step 3 - The persistence of mean dry bulb temperature and daily global horizontal radiation are evaluated by determining the frequency and length of runs of consecutive days with values above and below fixed long-term CDF percentiles. For mean daily dry bulb temperature, runs above the 67th percentile (consecutive warm days) and below the 33rd percentile (consecutive cool days) were determined. For global horizontal radiation, the runs below the 33rd percentile (consecutive low radiation days) were determined. The persistence criteria excludes the month with the longest run, the month with the most runs, and the month with zero runs. The persistence data are used to select from the five candidate months the month to be used in the TMY. The highest-ranked candidate month from Step 2 that meets the persistence criteria is used in the TMY. Step 4 - The 12 selected months were concatenated to make a complete year and discontinuities at the month interfaces were smoothed for 6 hours each side using curve fitting techniques. ii) International Weather Years for Energy Calculations (IWECs) Creation The weighting actors for the IWEC files are slightly different from those used for the TMY files, the weightings for differtn weather variables are shown in Table 4 Table 4 Weather parameters and their relevant weightings used for the ASHRAE IWECs. Maximum dry bulb temperature 5/100 Minimum dry bulb temperature 5/100 Mean dry bulb temperature 30/100 Maximum dew point temperature 2.5/100 Minimum dew point temperature 2.5/100 Mean dew point temperature 5/100 Maximum wind speed 5/100 Mean wind speed 5/100 Total horizontal solar radiation 40/100 Weather Files for Current and Future Climate Page 30 of 37 iii) Test Reference Years (TRY) and Design Summer Years (DSY) Creation The candidate, most average months for the TRY were assessed from the sum, FSsum, from their minimum FS statistics, FSmin, to give a weighted index for selection combining all three parameters (DryT, GlRad and WS). FSsum = w1FSmin (DryT) + w 2 FSmin (GlRad) + w 3 FSmin (WS) where w1, w2 and w3 are weighting factors for each weather parameter. The weighting factors add up to unity and the exact values are chosen depending on each parameters relative ! importance. Since the candidate month with the lowest FSmin for WS might not have the lowest FSmin for DryT the sum is taken and each candidate most average month is input into eqn. 1. The most average month is the one with the lowest FSsum, and hence the most average for the three parameters considered. This is done for each month of the year in turn. For the TRY files created for the UK a value of 1/3 was chosen for each weighting factor. The deviation of these weighting factors from those used for TMY and IWEC files is due to the prevalence of natural ventilation in the UK. Natural ventilation is less common in North America and humidity is more important than in the UK, the equal weightings for the CIBSE data were believed adequate, as natural ventilation, solar gain and fabric heat transmission were all considered equally important factors. Also it is difficult to be too prescriptive with the weightings for the different parameters since buildings will have different sensitivities to each parameter and hence their relative importance varies. In order to make the TRY usable the 12 most average months need to be combined. Often there is a mismatch in the parameters at the join between different months. The method used to overcome this discontinuity simply takes out the middle four values for each parameter in the weather file between 21:00 and 02:00 and replaces with a linear interpolation for 22:00, 23:00, 00:00 and 01:00. Due to the nature of the data collection data points in the files will some times be missing from the desired most average month. Where missing values are found in a month that had less than 15% missing values (108 hourly values in a 30 day month) in total for that variable, interpolations were used to fill the gaps. Different interpolation techniques were used depending on the nature of the data and the size and place of the gap. Special care has to be taken is a parameter maxima or minima is likely to occur within the gap. If there were gaps of more than 15% of any single variable in a month, then all the values for this variable were assumed to be invalid. Further details of the interpolation methods and other error checking and correction, along with a more detailed description of the data selection procedures for the TRY data files can be found in the report by GL Levermore and JB Parkinson. “Analyses and algorithms for new Test Reference Years and Design Summer Years for the UK”, Building Serv. Eng. Res. Technol. 27 311 (2006). iv) The Morphing Algorithms This section contains the different morphing processes involved for each of the weather file parameters. The notation for variables is consistent with CIBSE Guide J for weather data variables and with UKCIP02 for climate variables. It should also be noted that this methodology can also be used with the probabilistic climate change values output from UKCP09 once all the necessary parameters have been calculated. Solar irradiance on horizontal, gsr (Wm–2h): The UKCIP02 scenarios give an absolute increment for the monthly average solar shortwave flux received at a surface. Note, that the CIBSE solar irradiance is the integrated irradiation over one hour, so that the units are Watts per metre^2 hours (Wm–2h). The UKCIP02 shortwave flux Weather Files for Current and Future Climate Page 31 of 37 is the total increase in monthly mean irradiation. This is the variable corresponding to solar irradiance on the horizontal plane in the weather files. However, for the morphing procedure we need to stretch the data not shift it (use method (2)) but not uniformly otherwise the sun would shine at night! The appropriate scaling factor can be obtained from the absolute change and the monthly mean from the observed base climate. "gsrm = 1+ (#DSWFm / gsr0 m ) This scaling factor is then applied to all the months m in the time series using method (2) above to give: ! gsr = "gsrm # gsr0 This transformation gives the correct absolute increase in monthly means for the morphed timeseries. Note that according to this method there is increased solar radiation of sunny days ! is not increased. but the number of sunny days Diffuse solar irradiation on horizontal, dsr (Wm–2h): The UKCIP02 scenarios do not give information regarding the change to diffuse irradiation, dsr, so an indirect method must be used. It is assumed that dsr varies according to gsr. dsr = "gsrm # dsr0 Sunshine duration: radiation site sfr (h): Sunshine duration is not a variable given directly by UKCIP02. The related variable that is given is total cloud cover ! in longwave, TCLW, which is related to the weather file variable cloud cover cc. sfr is obtained from the morphed time series of cc using an empirical relationship between cc and sfr (given in CIBSE Guide J). sfr = a(0) + a(1) " cc + a(2) " cc 2 Sunshine duration, synoptic site sfs (h): ! as sfr above. This variable is adjusted Cloud cover, cc (oktas): Cloud cover is generally observed visually using judgement and recorded on an integer scale of 0–8 in oktas (1/8 of the sky). In UKCIP02, the variable is recorded as a percentage of TCLW, and the increment is given as an absolute amount in percentage sky covered. The first step is to convert the UKCIP02 percentage change to oktas. ( "cc m = int "TCLW m # 8 ) 100 Where ‘int’ denotes an integer value. This increment is then added to the timeseries using method (1). ! cc = cc 0 + "cc m Dry bulb temperature dbt (°C): ! daily mean temperature, TEMP, daily maximum temperature, UKCIP02 gives changes for TMAX and daily minimum temperature, TMIN. These three parameters are used to change two statistical parameters of the timeseries of temperature, namely the mean and the variance. This Weather Files for Current and Future Climate Page 32 of 37 is achieved by shifting by the UKCIP02 value for mean temperature and stretching by the diurnal range TMAX – TMIN. The required scaling factor required for the stretch is: "dbt m = #TMAX m $ #TMIN m dbt 0 max m $ dbt 0 min m The required shift is the UKCIP02 increment ΔTEMPm. As such the required transformation is: ! dbt = dbt 0 + "TEMPm + #dbt m $ (dbt 0 % dbt 0 ) m It can be confirmed that this transformation preserves the UKCIP02 changes to TEMP and TMAX – TMIN (but not TMAX and TMIN independently). Since the changes in TMAX and TMIN are not ! large this does not unduly bias the morphed data. Wet bulb temperature, wbt (°C): To obtain wbt, dbt is combined with either the specific or relative humidity. Note that neither of these latter two quantities is included explicitly in the existing weather files, while increments for both quantities are given in UKCIP02. Here we shall use specific humidity, the first step is to calculate a historical time series for specific humidity s0. Use dbt0 and wbt0 from the existing timeseries to derive the historical timeseries for moisture content g0 and from this the historic timeseries for specific humidity s (in g of water per kg of moist air). Next use method (2) to stretch the humidity data s to derive a future timeseries for s. The UKCIP02 changes in specific humidity SPHU are given as a percentage, therefore: s = (1+ SPHU m, /100) " s0 Next, calculate the future timeseries for moisture content g from s. The future timeseries for wet bulb temperature wbt can then be calculated using g and dbt (same as for dbt above). The psychometric formulae are given in CIBSE Guide C. ! Atmospheric pressure, atpr (mb): This is calculated by simply shifting the present-day timeseries by the UKCIP02 projections for increment in atmospheric pressure, MSLP: atpr = atpr0 + MSLPm Wind speed, ws (m/s): ! Wind speed changes in UKCIP02, WIND, are given as a percentage. Hence the new wind speed time series is obtained using method (2): ws = (1+ WINDm /100) " ws0 Wind direction, wd (degrees): ! Since it is assumed that there is no change in the underlying weather, there is no change to the wind direction. Rainfall amount, ra (mm): Rainfall changes in UKCIP02 are given as a percentage, so using method (2): ra = (1+ PRECm /100) " ra0 Rainfall duration, rd (h): No change. ! Weather Files for Current and Future Climate Page 33 of 37 Present weather code, pwc: No change. Solar altitude, solalt (degrees): No change. v) Creation of Future Weather Files Using the UKCP09 Weather Generator The calculation of missing variables and the creation of future weather files from the UKCP09 weather generator is discussed below. Wind speed: Although there is no wind information as a direct output from the weather generator, the calculation of PET requires wind speed. A variant of the Penman-Monteith PET developed by the Food and Agricultural Organisation is given by, eqn. 1 PET = 900 U (e # e ) T + 273.16 2 a d , " + $ (1+ 0.34U 2 ) 0.408" ( Rn # G) + $ where Rn is the net radiation at the crop surface, G is the soil heat flux, T is the mean temperature, ! ea is the saturation vapour pressure at the air temperature, ed is the actual vapour pressure, Δ is the slope of the vapour pressure curve, γ is the psychrometric constant and U2 is the wind speed at a height of 2m. Since all other variables are either provided as an output or can be calculated, a simple rearrangement of eqn. 1 can give the daily mean wind speed consistent with the daily weather signal. For the purpose of thermal modelling of buildings an hourly wind speed is required. This can be achieved by comparing the calculated wind speed with daily mean wind speed calculated from hourly observations at the given location. The hourly-observed signal, which corresponds to the observed mean wind speed that best matches the calculated value from PET is inserted in to the weather file. Although instantaneous values will not necessarily be maintained, the daily, monthly and yearly averages are consistent. Wind direction: The outputs of the weather generator have no indication of wind direction and without information about the pressure systems dominating the generated weather it is impossible to calculate the pressure from first principles. To generate a wind direction signal, observational relationships between wind speed, season and wind direction are used to create a probabilistic distribution at the weather station located closest to the weather generator grid square. It is unknown how weather systems will change in the future or the position of storm-tracks will move in relation to the United Kingdom. Current consensus suggests that weather patterns will not change vastly in the future and natural variability is much greater than the effects of climate change. Therefore basing the future wind direction on a probabilistic distribution from the observations is justified. In this method the wind direction is randomly generated every six hours from the probabilistic distribution based on the season and the hourly wind speed. The missing data is then linearly interpolated to generate a full hourly time series. The choice of Weather Files for Current and Future Climate Page 34 of 37 every 6 hours is used as a compromise to maintain the probabilistic wind direction distribution and to allow realistic hourly changes and is based on a spectral analysis of observed UK wind data. Figure 25 shows the yearly-observed wind direction distribution for the weather generator base climate (1961 to 1990), Chartered Institute of Building Services Engineers (CIBSE) test reference year wind direction distribution and a generated wind direction. The generated wind direction is created by stripping out the wind field (wind direction and wind speed) in the test reference year and using the methods described above to recreate an hourly wind speed and wind direction. Although there are minor differences at each location, the generated wind direction matches the observed weather signal well. The differences are due to the simplistic method used where one hour is not dependent on the next and because the interpolation does not follow the same probabilistic distribution (although this makes very little difference to a thermal model in the UK since the probability of the wind coming from any one direction is small as shown in Figure 25). The differences however are small and are not found to be statistically significant. Both the test reference year and generated wind field are just snap shots of the wind field and in the case of the generated wind field are biased by the calculated hourly wind speed. It must also be noted that the TRYs used are based on observations but are based on a different period (typically 1983 to 2004) compared to the base period of the weather generator. The differences in this case are even smaller, showing that weather patterns did not change substantially in this period and the differences result from the natural variability of the chosen observations, which is a subset of the true distribution. Figure 25 Polar plots of wind direction against probability for observed weather (1961 – 1990), CIBSE test reference year and generated wind directions for four different locations from across the United Kingdom. Weather Files for Current and Future Climate Page 35 of 37 Air pressure: Similar to the wind direction, the weather generator does not report air pressure. The air pressure has little effect on thermal modelling of buildings in terms of overheating risk (since most equations work as a pressure difference across a building) although it does influence the absolute humidity and condensation risk. It is possible to generate a probabilistic value for air pressure from observations but this leaves the questions of over what time scale should the value be generated (the periodicity of the pressure systems) and on what variables should the pressure be based, as there is no set speed with which pressure systems move across the UK. As stated above, it is unknown how the pressure systems and the position of storm tracks will change with regard to climate change and therefore it is impossible to also know how pressure will relate to the future climate, therefore, for simplicity the pressure will be generated from a distribution relating pressure to the daily mean wind speed and time of year obtained from observations (1961 – 1990). The periodicity of the generation however is much harder to determine. Examining the pressure oscillations present in historical observations for Cardiff we noted that there are both high frequency and low frequency oscillations in atmospheric pressure. For our simple model we are not concerned with the higher frequency signal but the time between the peaks and troughs of the underlying signal. Smoothing the signal using an FFT (fast Fourier transform) filter removing any oscillation of the order of 2.5 days (60 hours) and below was found to give a good representation of the true pressure. The average time between the peaks and troughs (average half-wavelength) of the smoothed data is found to be 125 hours. Similar analysis performed on other locations gave an average time of 116 hours for Edinburgh, 104 hours for London and 117 hours for Manchester. This implies a value between 4.3 and 5.2 days can be used in the simple model. For simplicity we have considered that a pressure randomly generated every 5 days (120 hours) with the probability of a given air pressure occurring with the daily wind speed and season calculated from observations is adequate for use in building thermal simulation codes. Cloud Cover: Muneer has derived empirical relationships between the sunshine fraction and cloud cover in the UK. Using the sunshine fraction from the hourly signal, the cloud cover during daylight hours can be generated with 8 Oktas implying no sunshine in a given hour and 0 Oktas when there is a full sunshine hour. All other hours are linearly interpolated. Weather Files for Current and Future Climate Page 36 of 37 Figure 26 Flow diagram showing the method of creating future probabilistic weather years from the UKCP09 weather generator Weather Files for Current and Future Climate Page 37 of 37