Download The Continued Utility of Probabilistic Seismic

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Casualties of the 2010 Haiti earthquake wikipedia , lookup

Kashiwazaki-Kariwa Nuclear Power Plant wikipedia , lookup

Seismic retrofit wikipedia , lookup

1992 Cape Mendocino earthquakes wikipedia , lookup

2008 Sichuan earthquake wikipedia , lookup

2009–18 Oklahoma earthquake swarms wikipedia , lookup

1880 Luzon earthquakes wikipedia , lookup

April 2015 Nepal earthquake wikipedia , lookup

Earthquake engineering wikipedia , lookup

1570 Ferrara earthquake wikipedia , lookup

2010 Pichilemu earthquake wikipedia , lookup

1960 Valdivia earthquake wikipedia , lookup

1906 San Francisco earthquake wikipedia , lookup

Earthquake casualty estimation wikipedia , lookup

Transcript
Chapter 13
The Continued Utility of
Probabilistic Seismic-Hazard
Assessment
Mark W. Stirling
GNS Science, Lower Hutt, New Zealand
ABSTRACT
Probabilistic seismic-hazard assessment (PSHA) has been a standard input to the engineering, planning, and insurance industries for over four decades. The purpose of this
chapter is to provide an overview of how PSHA is performing in the modern world.
PSHA has been, after all, the focus of considerable criticism in the literature in recent
years, particularly after the occurrence of major devastating earthquakes in many parts
of the world. In this chapter, I discuss the advantages and limitations of PSHA in light
of the recent criticisms, and then discuss the new developments that are contributing to
PSHA, or are expected to do so in the future.
13.1 INTRODUCTION
The method of probabilistic seismic-hazard assessment (PSHA) has now been
a standard input to engineering, planning, and insurance applications for
several decades. The PSHA method defined by Allin Cornell in the late 1960s
(Cornell, 1968) uses the location, recurrence behavior, and predicted ground
motions of earthquake sources to estimate the frequency or probability of
exceedance for a suite of ground-motion levels (Figure 13.1). Between 2002
and 2014, a great deal of debate has occurred in the literature regarding the
validity of the PSHA (e.g., Castanos and Lomnitz, 2002; Stein et al., 2011;
Stirling, 2012; Wyss et al., 2012; Kossobokov and Nekrasova, 2012;
Panza et al., 2014). Many of the more recent criticisms claim that PSH models
have been inadequate in anticipating the accelerations due to recent devastating earthquakes (e.g., Mw 9, March 11, 2011, Tohoku, Japan, and Mw,
February 22, Christchurch, New Zealand earthquakes). The purpose of this
chapter is to review the present utility of PSHA from the perspective of
Earthquake Hazard, Risk, and Disasters. http://dx.doi.org/10.1016/B978-0-12-394848-9.00013-4
Copyright © 2014 Elsevier Inc. All rights reserved.
359
360
Earthquake Hazard, Risk, and Disasters
FIGURE 13.1 The four steps of probabilistic seismic hazard analysis (PSHA).
someone who has led the development of PSH models at national, regional,
and site-specific scales over much of the last 20 years, and who regularly
provides timely PSH solutions to end users.
13.2 THE LOGIC OF PSHA
PSHA is based on Cornell’s fundamental logic that hazard at a site is based on
the location, recurrence behavior, and predicted ground motions of earthquakes surrounding the site (Figure 13.1). PSH models use estimates of
earthquake recurrence derived from seismicity catalogs, active fault data, and
from geodetic strain rates derived from global positioning system (GPS) data
to develop source models (Steps 1 and 2 in Figure 13.1). Ground-motion
prediction equations (GMPEs; Step 3) are developed from strong motion
data sets. The fundamental output of PSHA is the hazard curve (Step 4), which
gives the expected frequency or probability of exceedance for a suite of
earthquake shaking levels (e.g., peak ground acceleration (PGA), spectral
acceleration, and peak ground velocity). Many details are associated with the
Chapter j 13
The Continued Utility of Probabilistic
361
specific application of PSHA at a site, such as the types of earthquake sources,
particulars of the recurrence behavior, effect of distance on ground motions,
and the ground conditions. However, the same logical method (Figure 13.1) is
the foundation of all PSHAs.
PSHA has for a long time served to provide input ground motions for the
design of engineered structures, which requires estimates of hazard that are
relevant to the lifespan of the structure. For example, building design typically considers return periods of 500 or 2,500 years, which are, respectively,
equivalent to a 10 percent and 2 percent probability of exceedance in
50 years. In contrast, nuclear facilities and major hydrodam developments
typically use hazard estimates with 10,000-year return periods or longer.
Hazard estimates for these three return periods typically show large quantifiable differences across regions such as the western USA, Europe, Japan,
and New Zealand, reflecting the long-term, tectonically driven differences in
the expected future activity of earthquake sources across the regions. The
differences are intuitively obvious, given that one would expect sites close to
major plate boundary faults to experience more earthquakes in the long-term
than sites further away. This is well illustrated by national PSH maps
(e.g., New Zealand and USA; Figure 13.2(a) and (b)), and indeed, global
maps (e.g., Global Seismic-Hazard Analysis Program (GSHAP), the predecessor of the Global Earthquake Model (GEM; globalquakemodel.org;
Figure 13.2(c))), which show high hazard along the main plate boundary
areas (areas of highest concentration of active faults and seismicity), and
lower hazard away from the plate boundaries. This is useful information for
engineering in particular, being the basis for development of design standards such as the New Zealand Loadings Standard NZS1170.5 (Standards
New Zealand, 2004).
Response spectra (e.g., Figure 13.3) can be rapidly developed from a
PSH model to provide seismic design loadings for a range of return periods
and spectral periods. Spectral shapes differ according to the different mixes
of earthquake magnitudes and distances surrounding the site of interest,
which provides meaningful input to design loadings, including the selection
of design earthquake scenarios and associated time histories. Spectra for
given return periods (referred to as a uniform hazard spectra) can be disaggregated to identify the most likely (or most unlikely) earthquake scenarios for the site or region in question (Figure 13.4), and these scenarios are
often used to select realistic time histories for input to seismic loading
analysis, and for territorial authorities and others to plan for future earthquake hazards.
Many modern PSH models incorporate comprehensive epistemic (model
or knowledge) uncertainties into every component of the model to account
for all possible surprise events. The most recent version (version 3) of the
Unified California Earthquake Rupture Forecast (UCERF) models, for
instance (scec.usc.edu/scecpedia/UCERF3.0), allows virtually every possible
362
Earthquake Hazard, Risk, and Disasters
FIGURE 13.2 PSH maps produced from the (a) New Zealand national seismic hazard model; (b)
US national seismic hazard model; and (c) Global Seismic Hazard Analysis Program (GSHAP)
model. Each map shows the peak ground accelerations (PGAs) expected for a 500-year return
period on soft rock sites. Map sources are Stirling et al. (2012), Petersen et al. (2008), and
Giardini et al. (1999), respectively.
Chapter j 13
363
The Continued Utility of Probabilistic
FIGURE 13.2 cont’d
10
Wellington spectra: shallow soil sites
Absolute acceleration (g)
150 years
475 years
1,000 years
1
2,500 years
150 years
475 years
0.1
1,000 years
2,500 years
0.01
0.01
Solid = present NSHM
Dashed = 2002 NSHM
0. 1
Period T (sec)
1
10
FIGURE 13.3 Examples of response spectra for return periods of 150, 475, 1,000, and
2,500 years, for shallow soil site conditions. The spectra are plotted as accelerations for a given
spectral period, in which the PGA is plotted at 0.03 s due to the inability to plot 0.0 s in the log
scale. These spectra are for Wellington city, New Zealand, and are derived from the 2002 and
2010 versions of the national seismic hazard model for New Zealand (Stirling et al., 2002,
2012).
combination of rupture geometry on the California fault sources, and uses
seismological and geodetic data to define a range of distributed (background)
seismicity rates.
Prior to PSHA, seismic-hazard assessment was based on deterministic
methods, in which the location and predicted ground motions of the most
important earthquake sources were the basis for hazard estimation (i.e., no
recurrence information considered). Although conceptually simple and useful,
deterministic methods can also lead to the overestimation of the hazard in the
case of a source of extremely long recurrence interval being used to define the
364
Earthquake Hazard, Risk, and Disasters
Christchurch PGA 475 years
20
10
5
5
0
6
Mw
Contribution %
15
7
8
910
70
130
190
250
D (km)
FIGURE 13.4 Example of a disaggregation for the city of Christchurch derived from the New
Zealand national seismic-hazard model (Stirling et al., 2012). Despite the model being produced
prior to the 2010e2012 Christchurch earthquake sequence, the disaggregation plot identifies two
relevant classes of earthquakes that dominate the hazard of the city: earthquakes of Mw 5e6.0 at
distances of <10 km to the city and Mw 6.0e7.5 at distances of 10e50 km. These classes of
earthquakes encompass all the major earthquakes of the Canterbury earthquake sequence. PGA,
peak ground acceleration.
hazard at the site, or underestimation of hazard by ignoring local sources with
relatively short recurrence intervals for moderate earthquakes that may still
produce damaging ground motions at a site. By disaggregating the hazard
curve, a realistic deterministic scenario can be selected for use in scenariobased studies and analysis.
13.3 NATURE OF RECENT CRITICISMS OF PSHA
Many of the recent criticisms of PSHA imply that specific PSH models failed
to anticipate the level of acceleration in recent, devastating earthquakes such
as the Tohoku and Christchurch earthquakes (e.g., Stein et al., 2011). Although
it is indeed the case that the PSH models did not provide any indication that
the events were going to occur in the year 2011, criticisms of this nature have
been made without full appreciation of the construction and intended use of
PSH models. In short, people always want to see high levels of hazard on maps
where the subsequent major earthquakes and associated strong ground motions
occur, and when they do not they conclude that the models must be wrong. The
reason for these apparent discrepancies is that the recurrence intervals or rates
of occurrence of the causative earthquakes are fundamentally important
drivers of the hazard estimates.
Chapter j 13
The Continued Utility of Probabilistic
365
As an example, the Christchurch earthquake produced rock PGAs of about
1g in an area of formerly low seismicity where the New Zealand PSH model
(Stirling et al., 2012) showed 500-year PGA motions of about 0.3g. As I have
mentioned, the 500-year return period is one of the most frequently used
portrayals of PSH, but in low seismicity areas, the 500-year motions will
almost invariably underestimate the motions produced by rare, damaging
earthquakes if they occur there.
The ways of extracting strong motion information from a PSH model to
adequately represent such rare events are threefold: First, the hazard can be
calculated for return periods that are appropriately long (e.g., 2,500 years)
so as to produce higher levels of hazard. Important facilities such as hospitals
usually consider a 2,500-year, return period hazard; Second, scenario
(deterministic) hazard estimates can be provided by considering the motions
that would be produced by specific local sources near a site, irrespective of
the recurrence interval of the sources; Third, time-dependent or “time-varying” hazard models can be developed to produce high PSH if adequate
knowledge of enhanced earthquake probabilities exists. In the absence of such
time-varying information (the typical case), the PSH model will typically be
based on a Poissonian probability model (time-independent earthquake rate or
probability). The obvious limitations in the above are the choice of return
period (people will often consider long return periods too conservative),
choice of scenario earthquakes (people will be dubious of hazard estimates
that are based on poorly defined sources of long/unknown recurrence interval), and data quantity/quality/uncertainty issues in time-varying hazard
modeling. These limitations necessitate very careful recommendations being
made in the PSHA process, and full documentation of the associated model
caveats.
If a PSH model can be augmented with time-varying (forecasting)
components, then the model can provide hazard estimates relevant to time
periods of days to decades (e.g., Gerstenberger et al., in press). These
models require two types of data: (1) a detailed knowledge of the earthquake history and prehistory of well-studied faults, so the earthquake
recurrence interval and elapsed time since the last earthquake faults can be
determined and (2) high-quality earthquake catalogs that allow temporal
and spatial characteristics of earthquake occurrence to be deciphered and
modeled with time-varying rate or probability models (e.g., Rhoades et al.,
2010; Kossobokov, 2014; Schorlemmer and Gerstenberger, 2014; Wu, 2014;
Zechar et al., 2014). In all efforts to establish such time-varying models, the
resulting models are generally associated with large epistemic uncertainty
and aleatory (random) variability. Furthermore, no one model is presently
capable of providing a prospective short-term forecast of a large earthquake
sequence that suddenly occurs (as was the case for the Canterbury earthquake sequence). Not surprisingly, the ability to provide actual earthquake
forecasts for end-user application and policy is in the early stages of
366
Earthquake Hazard, Risk, and Disasters
development. To attain reliable earthquake forecasts, there needs to be some
significant advances in relevant scientific research and monitoring/
detection.
Legitimate criticisms can be leveled at elements of the PSHA inputs for
regions relevant to the recent major earthquakes mentioned above. In the case
of the Tohoku earthquake, the magnitude of the earthquake was considerably
greater than the maximum magnitude of the Japanese PSH model, which was
retrospectively seen as a clear deficiency in the model. However, in the
Christchurch, New Zealand earthquake, the causative fault was unknown
prior to the earthquake, due to the long recurrence interval and resulting lack
of topographic expression and seismicity along the fault. Without a prior
knowledge of a fault source, it was impossible to estimate where the strongest
near-field ground motions would occur. PGAs >2g were produced at some
strong motion stations at soft soil sites around Christchurch during the
earthquake, due to the city being close to the fault source, and a likely
combination of near-fault effects such as high stress drop and hanging wall
effects.
In the national seismic-hazard model for New Zealand (Stirling et al.,
2012), the Christchurch earthquake was to an extent accounted for by the
distributed seismicity model. Distributed seismicity models are typically
made up of a set of sources at grid points that have activity rates defined on
the basis of the spatial distribution of seismicity. They are designed to
model the seismicity expected to occur away from the known fault sources
in the area, and if correctly parameterized, will account for earthquakes on
unknown sources. In the case of the New Zealand seismic-hazard model,
the earthquake magnitudes, recurrence intervals, and ground motions were
to an extent accounted for in the national seismic-hazard model in three
ways.
l
l
l
In the Christchurch area, the maximum magnitude of Mw 7.2 was defined
in the distributed seismicity model several years prior to the occurrence of
the Mw 7.1, September 4, 2010, Darfield earthquake, the main shock of the
Canterbury sequence.
The recurrence interval for Darfield-sized earthquakes estimated from this
distributed seismicity model is of the order of 11,000 years (Stirling et al.,
2012), which is of an order similar to the emerging recurrence estimates for
the Greendale Fault derived from paleoseismology (uncertain recurrence
estimate of 16,000 years; Quigley et al., 2010; Figure 13.5).
The ground motions were to an extent accounted for in prior national
seismic-hazard models, as illustrated by the response spectra in
Figure 13.6. The New Zealand Loadings Standard (NZS1170) spectrum for
the 2,500-year return period is not dissimilar to (i.e., depending on spectral
period) the recorded motions for the Christchurch earthquake from strong
motion stations around Christchurch (Figure 13.6). While the NZS1170
Chapter j 13
367
The Continued Utility of Probabilistic
–43°30'
–44°00'
172°30'
Number per year (>= M)
172°00'
Darfield grid cells
0.01
0.001
'[
0.0001
0.00001
5
6
Mw
7
8
FIGURE 13.5 Simplified trace of the Greendale fault and the distributed seismicity grid
cells of the New Zealand national seismic-hazard model in the immediate vicinity. The
accompanying magnitudeefrequency distribution shows the combined earthquake rates for
these cells (cumulative number of events M; magnitude range in the figure is limited to
the magnitudes normally associated with damaging ground motions), and the 1/16,000-year
rate estimate for the Greendale fault from paleoseismic data. Figure reproduced from
Stirling et al. (2012).
spectra are based on a previous version of the national seismic-hazard
model (Stirling et al., 2002), the estimated hazard for Christchurch did
not change greatly in the later model (Stirling et al., 2012). Comparison of
national seismic-hazard models at 2,500-year (and longer) return periods to
the Christchurch earthquake is reasonable, given the likely long recurrence
interval of the causative fault source, which had no evidence of prior
ruptures in the epicentral area.
368
Earthquake Hazard, Risk, and Disasters
1.8
1.6
NZS1170 2500-year Class D
1.4
NZS1170 500-year Class D
deep or soft soil
SA(T) (g)
1.2
CHHC_MaxH_FEB
1
0.8
CCCC_MaxH_FEB
0.6
CBGS_MaxH_FEB
0.4
REHS_MaxH_FEB
0.2
GM_Larger_FEB
0
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Period T (s)
FIGURE 13.6 Examples of response spectra for Christchurch New Zealand, for deep soil
site conditions. The thin solid lines are spectra recorded at selected strong motion stations in the
city during the Mw 6.2 February 22, 2011, Christchurch earthquake, and the thicker dashed and
solid lines are NZS1170 response spectra for 500- and 2,500-year return periods (Standards New
Zealand, 2004). Figure reproduced from McVerry et al. (2012).
13.4 ADVANCES IN PSH INPUTS
The PSH models are only as good as the input data and methods of source
parameterization, ground-motion estimation, and probability estimation.
However, as long as the associated uncertainties and limitations are fully
expressed in the model commentary, and appropriate advice provided, the
models can still be useful. The use of deterministic models and appropriate
parameterization of distributed seismicity models are two examples of solutions used to compensate for known or suspected deficiencies in PSH models.
Improvements to the performance of PSH models require improvements to
PSHA inputs and components. It is therefore worthwhile to review some of the
major advances in PSHA inputs and components being made at present, and
identify issues and priorities for future research focus.
13.4.1 Ground-Motion Prediction
The aleatory variability in ground-motion prediction remains a large issue,
despite major efforts to develop new GMPEs. The next generation attenuation
(NGA) project (peer.berkeley.edu/nga) has involved some of the world’s key
GMPE developers producing a suite of GMPEs from the same quality-assured,
strong motion data set. The models have incorporated more input parameters
in an effort to improve ground-motion prediction, particularly with respect
to source geometry. However, the aleatory variability, generally measured
as the standard deviation of a log-normal distribution of ground motions,
does not appear to have been reduced from those of earlier models
Chapter j 13
The Continued Utility of Probabilistic
369
(e.g., Watson-Lamprey, 2013). This may mean that the new parameters are not
important as predictor variables, or they are important, but their impact on the
GMPEs is being counteracted by the capturing of a more complete range of
aleatory variability in the recently acquired strong motion data.
13.4.2 Monitoring
Efforts to improve the recording of input data by seismic and GPS networks
are of fundamental importance to PSHA. Seismic networks (e.g., Geonet.org.nz)
are making large improvements to the detection threshold of earthquakes
(the minimum magnitude for a complete record of earthquakes), and the
ability to observe temporal and spatial changes in seismicity. GPS is being
increasingly used to provide input to source models (e.g., distributed seismicity models and subduction interface models). The generally short temporal coverage of GPS data is compensated for by a large spatial coverage,
and as such, it can be a complement to other source models. This is illustrated in Figure 13.7 where I use GPS-based strain rates to develop a
magnitudeefrequency distribution for the plains surrounding Christchurch
New Zealand (the Canterbury Plains). GPS results show that the order of
2-millimeters per year deformation rate is unaccounted for by the known
active faults across the plains, and is presumably accommodated by earthquakes on unknown fault sources beneath the plains. The use of the
GPS-derived 2-millimeters per year deformation rate to develop distributed
seismicity rates for these sources produce seismicity rates that are a factor of
two higher than the rates estimated from the observed seismicity prior to the
Canterbury earthquake sequence.
Lastly, remote sensing techniques such as synthetic aperture interferometry
are seeing improvements in applicability and resolution over time, and these
will allow greater ability to detect the coseismic deformation field from
earthquakes (e.g., Taubenböeck et al., 2014).
13.4.3 Active Faults: Detection and Characterization
Active fault data are the only PSHA input data set that is able to extend
the earthquake record back in time to prehistory (Meghraoui and Atakan, 2014).
Great improvements in the ability to detect and characterize active faults for input
to PSHA have been seen in the last 10 years. Fault mapping has improved
significantly through accumulated experience and the availability of new tools
(e.g., LIDAR). Greater ability to map the surface geometry of faults and distributions of displacement has led to the improved characterization of fault sources
in PSH models. The use of different disciplines and data sets together for fault
characterization, particularly with respect to mapping fault ruptures in three dimensions, has yielded a great deal of understanding of rupture complexity and
detail. Furthermore, increased age constraints on paleoearthquakes have made it
370
Earthquake Hazard, Risk, and Disasters
(a)
(b)
Cumulative rate of earthquakes for GPS-derived
2 millimeters per year across canterbury plains
Cumulative rate ≥ M
0.10000
0.01000
All plains
Area 1 + 2
0.00100
Area 2
0.00010
Area 2 (distributed, NSHM
2010)
0.00001
5
6
7
8
Mw
FIGURE 13.7 Magnitudeefrequency distributions developed from GPS-measured 2 millimeters
per year across the Canterbury Plains, New Zealand, for the entire plains (extent of yellow arrow);
the 50-km-wide corridor across the full width of plains (Area 1 þ Area 2), and for the 50 50-km
Area 2. Also shown is the equivalent distribution derived for Area 2 from the distributed seismicity
model of the New Zealand national seismic hazard model (Stirling et al., 2012). The city of
Christchurch lies at the northeastern end of the boundary between Area 1 and Area 2.
possible to establish conditional probabilities and associated uncertainties for
future earthquakes on specific faults.
13.4.4 Supercomputing to Consider all Possibilities
PSH models are increasingly drawing on diverse data sets and methods, and
using high-end computing resources. The Californian UCERF3 model
Chapter j 13
The Continued Utility of Probabilistic
371
incorporates hundreds of thousands of logic tree branches in its comprehensive
source model, and the use of supercomputers allows the model to be run
through the four steps of PSHA (Figure 13.1). Furthermore, physics-based,
seismic-hazard modeling efforts such as CyberShake (SCEC.org), use supercomputers to run multiple realizations of earthquake scenarios from multiple
sources, with shaking at the site computed directly from source, path, and site
effects for each earthquake. The millions of calculations required would not be
possible without access to major computing resources, and this was not
possible as recently as a decade ago. Today, plausible scenarios such as the
linking of fault sources to produce extended ruptures, and the range of uncertainties in magnitudeefrequency statistics for the myriad of sources are
able to be considered without the limitation of CPU demand. Already, exciting
scientific results have emerged from the UCERF3 modeling efforts, such as the
finding that the seismicity on faults cannot be modeled by the Gutenberge
Richter relationship, as this produces a poor fit to the paleoseismic data in
California (Edward Field personal communication, 2013).
13.4.5 Forums for Scientific Debate
Some recent efforts have focused on providing scientific forums to openly
debate some of the criticisms leveled at PSHA and the associated input. The
American Geophysical Union and Seismological Society of America have
held “Earthquake Debates” sessions on several occasions over the last 5 years.
Furthermore, the Powell Center for Analysis and Synthesis (www.powell.usgs.
gov) has recently supported a series of workshops that have brought together
PSHA experts and critics from around the world to address issues associated
with maximum magnitude estimation, testability of PSHA, and development
of global, seismic-source models face to face (nexus.globalquakemodel.org/
Powell). These meetings have been very positive, as people have been
working together on common ground rather than talking past each other in the
literature.
13.5 FUTURE NEEDS
13.5.1 Correct Use of PSH Models
I have indicated that many of the criticisms of PSHA in the recent literature
have been without full appreciation of the drivers of PSH models, and how the
models should best be used. Comparing PSH estimates at short return periods
to the motions produced by rare, damaging earthquakes (e.g., our earlier
Christchurch earthquake example) is inappropriate in the context of PSH
model evaluation. Appreciation of the recurrence behavior of the relevant
earthquake sources in a region is an essential part of the PSH process, resulting
in the selection of appropriate return periods and/or scenario earthquakes to
quantify the hazard.
372
Earthquake Hazard, Risk, and Disasters
13.5.2 Earthquake Forecasting during Seismic Quiescence
The frequently expressed desire to enhance PSH models to enable them to be
used for short-term forecasting presents a major scientific challenge. As is,
PSHA is inappropriate for short-term forecasting for the simple fact that it
uses the past as a proxy for the future. In other words, spatial differences in
the level of seismic hazard are a direct consequence of the past distribution of
historical seismicity, GPS strain, and active faults. Although this reflects the
long-term distribution of hazard, it does not identify where and when major
earthquakes will next occur, especially in low seismicity areas. What is
missing is the ability to achieve forecasting without the forecasts being
entirely based on the presence of existing earthquake sequences, and the
spatial density and longer term activity of sources. For instance, none of the
various forecasting models (e.g., Short Term Earthquake Probability (STEP),
Epidemic Type Aftershock Sequence (ETAS) and Every Earthquake a Precursor According to Scale (EEPAS)) could have provided advanced warning
of the Canterbury earthquake sequence of 2010e2012, as the area had
essentially no seismicity in the preceding decades. In order to achieve shortterm forecasting, future research efforts need to be focused on improving the
ability to monitor and detect microseismicity and crustal deformation, and
identification of reliable earthquake precursors not currently known or
observed.
In the New Zealand context, efforts are now in place to advance the national seismic-hazard model through the incorporation of short-term forecasting models. The Canterbury earthquake sequence initiated this work
through an immediate need to provide hazard estimates for rebuilding
Christchurch. The resulting hazard estimates are an ensemble of time-varying
and time-independent earthquake probability models (e.g., Gerstenberger
et al., in press). The ensemble PSH model shows that the resulting hazard will
be well above that calculated prior to the Canterbury earthquake sequence
(Stirling et al., 2012) for some decades to come.
13.5.3 Reduction in Aleatory Uncertainty in Ground-Motion
Prediction
The aleatory uncertainty in ground-motion estimation is very large (the
standard deviations in GMPEs are typically about 0.5 in natural log units of
ground motion), and does not seem to have been reduced in the complex
GMPEs available today. In other words, a very large range in the potential
ground motions still exists that could be produced at a single site due to
earthquakes of the same magnitude and distance. In contrast, the differences
between GMPEs (epistemic uncertainties) do appear to have been reduced in
recent years, at least within the NGA project.
Chapter j 13
The Continued Utility of Probabilistic
373
13.5.4 Testability of PSHA
Finally, efforts need to be supported in the objective testing of PSH models, as
to date PSH models have largely been developed in the absence of any form of
verification (e.g., Panza et al., 2014). The Collaboratory for the Study of
Earthquake Predictability (http://www.cseptesting.org/ and Schorlemmer and
Gerstenberger, 2014) has been developing testing strategies and methods for a
wide variety of applications, and collaborative work has also been focused on
developing ground motion-based tests of the New Zealand and US national
seismic-hazard models.
The Global Earthquake Model (GEM), a worldwide seismic hazard and
loss modeling initiative, is including testing and evaluation as an integral
part of the overall model development. This work is mainly focused on the
evaluation of components of the PSH model, such as GMPEs. The Yucca
Mountain seismic-hazard modeling project developed innovative approaches
to consider all viable constraints on ground motions for long return periods
for nuclear waste repository storage, prior to the cancellation of the project
in 2008 (Hanks et al., 2013). The need to verify the hazard estimates for
return periods of 104e106 years advanced the use of geomorphic criteria to
test the hazard estimates. The rationale is that “fragile geologic features”
(Figure 13.8) provide evidence for nonexceedance of ground motions for
long return periods, and prior to the cancellation of the Yucca Mountain
project appeared to be showing new constraints on PSH models at long
FIGURE 13.8 Example of an ancient fragile geologic feature at Yucca Mountain, Nevada, that
has been studied to obtain constraints on past ground motions for return periods equivalent to the
age of the feature (104e105 years). The cowboy hat at the base of the feature gives an indication of
scale.
374
Earthquake Hazard, Risk, and Disasters
return periods (e.g., Anderson et al., 2011). Specifically, ancient fragile
geologic features observed at Yucca Mountain were inconsistent with
extremely strong ground-motion estimates produced for the very long return
periods considered for repository design. The Yucca Mountain project
therefore revealed the extent to which PSH estimates become driven by the
“tails” of statistical distributions, namely, the log-normal distribution of
predicted ground motions from GMPEs. Had the Yucca Mountain project
continued, fragile geologic features would have played a major part in
reducing the design ground-motion estimates for repository design. Similar
observations have been made elsewhere in the USA and in New Zealand
(e.g., Stirling and Anooshehpoor, 2006; Anderson et al., 2011), and fragile
geologic features are now recognized as the only viable criteria for constraining ground-motion estimates for long return periods (Anderson and
Biasi, 2014; Stirling et al., 2014).
13.5.5 Complex PSHA on Normal Computers
If the future of PSHA is in the development of complex PSH models such as
UCERF3, and in the development of physics-based PSH models, the reliance
of these models on supercomputer resources will be a significant barrier to
their widespread utility. Significant efforts will therefore need to be focused on
making these models usable on standard computers, or uptake will be
extremely limited in everyday PSHA for end-user applications.
13.6 CONCLUSIONS
PSHA is a simple, logical method that bases future earthquake hazard on the
location, rate, and predicted shaking intensities of past earthquakes. The
PSHA method provides useful solutions for end users, mainly as input to
engineering design. As such it is here to stay until another alternative method
is available that is shown to do better than PSHA. Work focused on the
pursuit of such models should be supported by the funding institutions,
whether they be governmental or private industry. Furthermore, input to
PSHA must continue to be improved, which requires that all the current
developments described above continue to be supported. Finally, recent
experience has taught me that the critics of PSHA can make considerable
contributions to doing things better when they are brought together with the
PSHA scientists to participate in forums such as the Powell Center for
Analysis and Synthesis. In recent forums, we found that scientists who had
been very critical of PSHA in the literature were able to be understood and
appreciated by the PSHA scientists in the face-to-face Powell setting. In turn,
the responsibilities and practical needs of PSH scientists to provide timely
solutions to end users were better appreciated by the critics. Forums like
these must continue to be supported.
Chapter j 13
The Continued Utility of Probabilistic
375
ACKNOWLEDGMENTS
I wish to thank Danielle Hutchings Mieler for her peer review of this chapter, and James
Dolan for relevant discussions. Funding from the New Zealand National Hazards Research
Platform is gratefully acknowledged. Lastly, I attribute many of the opinions expressed in
this chapter to insights gained during the four workshops run by Ross Stein and myself at the
Powell Center for Analysis and Synthesis over the period August 2012eSeptember 2013. I
therefore thank the Powell Center (especially Jill Baron) for supporting our workshop
proposal, and the scientists who participated in the workshops: Ross Stein, Seth Stein, John
Adams, Ned Field, Mark Petersen, Morgan Page, Nicola Litchfield, Oliver Boyd, Danijel
Schorlemmer, Dave Jackson, Peter Bird, Yan Kagan, Mark Leonard, Oona Scotti, Laura
Peruzza, Alex Allmann, Martin Kaesar, Harold Magistrale, Yufang Rong, Marco Pagani,
Graeme Weatherill, Damiano Monelli, Anke Friedrich, Gavin Hayes and Margaret
Boettcher.
REFERENCES
Anderson, J.G., Biasi, G.P., 2014. Precarious rocks and constraints on seismic hazard. In:
Shroder, J., Wyss, M. (Eds.), Earthquake Hazard, Risk, and Disasters. Elsevier, London,
pp. 377e403.
Anderson, J.G., Brune, J., Biasi, G., Anooshehpoor, A., Purvance, M., 2011. Workshop report:
applications of precarious rocks and related fragile geological features to U.S. national hazard
maps. Seismol. Res. Lett. 82 (3), 431e441.
Castanos, H., Lomnitz, C., 2002. PSHA: is it science? Eng. Geol. 66, 315e317.
Cornell, C.A., 1968. Engineering seismic risk analysis. Bull. Seismol. Soc. Am. 58, 1583e1606.
Gerstenberger, M., McVerry, G., Rhoades, D., Stirling, M. Seismic hazard modeling for the recovery of Christchurch, New Zealand. Earthquake Spectra, in press.
Giardini, D., Grunthal, G., Shedlock, K., Zeng, P., 1999. The GSHAP global earthquake hazard
map. Ann. Geofis. 42, 1225e1230.
Hanks, T.C., Abrahamson, N.A., Baker, J.W., Boore, D.M., Board, M., Brune, J.N., Cornell, C.A.,
Whitney, J.W., 2013. Extreme Ground Motions and Yucca Mountain. U.S. Geological Survey.
Open-File Report 2013e1245, 105 pp. http://dx.doi.org/10.3133/ofr20131245.
Kossobokov, V.G., Nekrasova, A., 2012. Global seismic hazard assessment program maps are
erroneous. Seism. Instrum. 48 (2), 162e170.
Kossobokov, V.G., 2014. Times of increased probabilities for the occurrence of catastrophic
earthquakes: 25 years of the hypothesis testing in real time. In: Shroder, J., Wyss, M. (Eds.),
Earthquake Hazard, Risk, and Disasters. Elsevier, London, pp. 477e504.
McVerry, G.H., Gerstenberger, M., Rhoades, D., Stirling, M., 2012. Spectra and Pgas for the
assessment and reconstruction of Christchurch. In: Proceedings of the 2012 Annual Conference of the New Zealand Society of Earthquake Engineering.
Meghraoui, M., Atakan, K., 2014. The contribution of paleoseismology to earthquake hazard
evaluations. In: Shroder, J., Wyss, M. (Eds.), Earthquake Hazard, Risk, and Disasters. Elsevier,
London, pp. 237e271.
Panza, G., Kossobokov, V., Peresan, A., Nekrasova, A., 2014. Why are the standard probabilistic
methods of estimating seismic hazard and risks too often wrong? In: Shroder, J., Wyss, M.
(Eds.), Earthquake Hazard, Risk, and Disasters. Elsevier, London, pp. 359e376.
Petersen, M., Frankel, A., Harmsen, S., Mueller, C., Haller, K., Wheeler, R., Wesson, R., Zeng, Y.,
Boyd, O., Perkins, D., Luco, N., Field, E., Wills, C., Rukstales, K., 2008. Documentation for
376
Earthquake Hazard, Risk, and Disasters
the 2008 Update of the United States National Seismic Hazard Maps. U.S. Geol. Surv. OpenFile Rept. 2008-1128, 61 pp.
Quigley, M., Van Dissen, R., Villamor, P., Litchfield, N., Barrell, D., Furlong, K., Stahl, T.,
Duffy, B., Bilderback, E., Noble, D., Townsend, D., Begg, J., Jongens, R., Ries, W.,
Claridge, J., Klahn, A., Mackenzie, H., Smith, A., Hornblow, S., Nicol, R., Cox, S.,
Langridge, R., Pedley, K., 2010. Surface rupture of the Greendale fault during the Mw 7 1
Darfield (Canterbury) earthquake, New Zealand: initial findings. Bull. N. Z. Natl. Soc.
Earthquake Eng. 43 (4), 236e242.
Rhoades, D.A., Van Dissen, R.J., Langridge, R.M., Little, T.A., Ninis, D., Smith, E.G.C.,
Robinson, R., 2010. Re-evaluation of the conditional probability of rupture of the WellingtoneHutt Valley segment of the Wellington fault. Bull. N. Z. Natl. Soc. Earthquake Eng.
44, 77e86.
Schorlemmer, D., Gerstenberger, M., 2014. Quantifying improvements in earthquake rupture
forecasts through testable models. In: Shroder, J., Wyss, M. (Eds.), Earthquake Hazard, Risk,
and Disasters. Elsevier, London, pp. 405e429.
Standards New Zealand, 2004. Structural Design ActionsdPart 5: Earthquake ActionsdNew
Zealand. New Zealand Standard NZS 1170.5. Dept. Building and Housing, Wellington, New
Zealand.
Stein, S., Geller, R., Liu, M., 2011. Bad assumptions or bad luck: why earthquake hazard maps
need objective testing. Seismol. Res. Lett. 82 (5), 623e626.
Stirling, M.W., 2012. Earthquake hazard maps and objective testing: The hazard mapper’s point of
view. Opinion. Seismological Research Letters 83, 231e232.
Stirling, M.W., McVerry, G.H., Berryman, K.R., 2002. A new seismic hazard model for New
Zealand. Bull. Seismol. Soc. Am. 92, 1878e1903.
Stirling, M.W., Anooshehpoor, R., 2006. Constraints on probabilistic seismic hazard models from
unstable landform features in New Zealand. Bull. Seismol. Soc. Am. 96, 404e414.
Stirling, M.W., McVerry, G.H., Gerstenberger, M., Litchfield, N.J., Van Dissen, R.,
Berryman, K.R., Langridge, R.M., Nicol, A., Smith, W.D., Villamor, P., Wallace, L., Clark, K.,
Reyners, M., Barnes, P., Lamarche, G., Nodder, S., Pettinga, J., Bradley, B., Rhoades, D.,
Jacobs, K., 2012. National seismic hazard model for New Zealand: 2010 update. Bull. Seismol. Soc. Am. 102 (4), 1514e1542.
Stirling, M.W., Rood, D., Barrell, D., 2014. Using fragile geologic features to place constraints on
long-term seismic hazard. Seismol. Res. Lett. http://www2.seismosoc.org/FMPro?.
Taubenböck, H., et al., 2014. The capabilities of earth observation to contribute along the risk
cycle. In: Shroder, J., Wyss, M. (Eds.), Earthquake Hazard, Risk, and Disasters. Elsevier,
London, pp. 25e53.
Watson-Lamprey, J., 2013. Incorporating the effect of directivity in the intra-event standard deviation of the NGA West 2 ground motion prediction equations. Abstracts for Annual Meeting
of the Seismological Society of America. Seismol. Res. Lett. http://www2.seismosoc.org/
FMPro.
Wu, Z., 2014. Duties of earthquake forecast. In: Shroder, J., Wyss, M. (Eds.), Earthquake Hazard,
Risk, and Disasters. Elsevier, London, pp. 431e448.
Wyss, M., et al., 2012. Errors in expected human losses due to incorrect seismic hazards estimates.
Nat. Hazards 62 (3), 927e935. http://dx.doi.org/10.1007/s11069-012-0125-5.
Zechar, D., Herrmann, M., Van Stiphout, T., Wiemer, S., 2014. Forecasting seismic risk as an
earthquake sequence happens. In: Shroder, J., Wyss, M. (Eds.), Earthquake Hazard, Risk, and
Disasters. Elsevier, London, pp. 167e182.