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Statistical Seismology Seminars 統計地震学セミナー ： Updated on 6 March 2023 第88回 NEW! -1 講演者： Dr. Hainzl, Sebastian （GFZ German Research Centre for
Geosciences, Germany ・Senior
Researcher） 日 時： 2023年 3月
17日(金) 15:00 -16:00 場 所： 統計数理研究所 D313/314セミナー室5 及び オンライン Title： Stress-based seismicity modeling Abstract： While
the ETAS model successfully describes the first-order characteristics of
short-term earthquake clustering due to earthquake interactions, it can only
model earthquake activation, not unloading effects. To be more realistic,
seismicity models based on estimated stress can be applied. Two widely-used
physics-based seismicity models are the Coulomb Failure and Dieterich‘s
Rate-State models, which assume pre-existing populations of faults that respond
to changes in Coulomb stress. I will discuss a modified Coulomb-Failure model
in which instantaneous triggering is replaced by a mean time-to-failure that
depends exponentially on the absolute stress value. For critical initial
stresses, we show that the model leads to identical forecasts as the
Rate-State model and reproduces the Omori-Utsu
relation for aftershock decays and stress-shadowing effects. Thus, both
previous stress-based seismicity models can be seen as special cases of the
new model. However, the new stress response model can also account for
subcritical initial stress conditions, which is particularly relevant for
induced seismicity in intraplate regions. Furthermore, I will present the
results of a recent systematic analysis of the dependence of seismicity
parameters (b-value and Omori-parameters) on the calculated stress changes
and discuss the possible use of these relationships in seismicity modeling. -2
講演者： Stockman, Sam （Computational
Statistics and Data Science, University of Bristol, UK ・大学院生） 日 時： 2023年 3月
17日(金) 16:00 -17:00 場 所： 統計数理研究所 D313/314セミナー室5 及び オンライン Title： Forecasting the 2016-2017 Central
Apennines Earthquake Sequence with a Neural Point Process Abstract： Point
processes have been dominant in modeling the evolution of seismicity for
decades, with the Epidemic Type Aftershock Sequence (ETAS) model being most
popular. Recent advances in machine learning have constructed highly flexible
point process models using neural networks to improve upon existing
parametric models. We investigate whether these flexible point process models
can be applied to short-term seismicity forecasting by extending an existing
temporal neural model to the magnitude domain and we show how this model can
forecast earthquakes above a target magnitude threshold. We first demonstrate
that the neural model can fit synthetic ETAS data, however, requiring less
computational time because it is not dependent on the full history of the
sequence. By artificially emulating short-term aftershock incompleteness in
the synthetic dataset, we find that the neural model outperforms ETAS. Using
a new enhanced catalog from the 2016-2017 Central Apennines earthquake
sequence, we investigate the predictive skill of ETAS and the neural model
with respect to the lowest input magnitude. Constructing multiple forecasting
experiments using the Visso, Norcia and Campotosto earthquakes to partition training and testing
data, we target M3+ events. We find both models perform similarly at
previously explored thresholds (e.g., above M3), but lowering the threshold
to M1.2 reduces the performance of ETAS unlike the neural model. We argue
that some of these gains are due to the neural model's ability to handle
incomplete data. The robustness to missing data and speed to train the neural
model present it as an encouraging competitor in earthquake forecasting. 第87回 講演者：佐藤大祐 （京都大学防災研究所・JSPS特別研究員） 日 時： 2022年12月26日(月)
16:00 -17:00 オンライン Title： Inventing appropriate solving methods
of hierarchical Bayesian inversions when using regularization priors Abstract： Regularization
(e.g. damping, smoothing, and sparsity) is a robust technique to resolve ill
conditions in inverting model parameters more than data. However, it leaves
questions in tuning the hyperparameters that weight data misfits and
regularization losses, namely, the likelihood and prior. Therefore,
hierarchical Bayes naturally follow to evaluate the model parameters and
hyperparameters probabilistically. In this talk, I introduce our study on an
appropriate solving method for hierarchical Bayesian problems. In linear
inverse problems, surprisingly, we find a significant part of standard
approaches fail to invert many model parameters, including orthodox Monte
Carlos and the posterior maximum, despite the use of regularization (Sato Fukahata and Nozue, 2022). Their problematic behaviors
are all analytically explained by the entropic effect of the model-parameter
space, which is cared in the empirical Bayes, as suggested in an early work
of Robbins (1956). The same issue remains in nonlinear problems, and I will
also talk about numerical methods under development to fix this
"bug" of ordinary Monte Carlos. 第86回 -1 講演者： Dr. Zhuang, Jiancang
(庄 建倉) （統計数理研究所
モデリング研究系・准教授） 日 時： 2022年 11月
14日(月) 16:00 -16:45 オンライン Title： Evaluating earthquake forecasts with likelihood
based marginal and conditional scores Abstract： Earthquake
forecasting consists of the forecasts of the numbers,occurrence
times, locations, and magnitudes of seismic events, and even the correlations
among them. In order to evaluate each component in the forecasting, CSEP
provides varieties of testing criterions but still far from enough. In this
study, starting from the essential meanings of the full likelihood of a point
process, I will explain how to evaluate the marginal likelihoods for each
component in the forecasts and the conditional likelihoods for some
components under the condition that some other components are given. These
marginal and conditional likelihoods are the bases for
the marginal and conditional scores in performance evaluation when multiple
models are used in forecasting. -2
講演者： Sofiane Rahmani （Center
of Research in Astronomy, Astrophysics and Geophysics(CRAAG), Algeria ・大学院生） 日 時： 2022年 11月
14日(月) 16:45 -17:30 オンライン Title： Time-dependent and spatiotemporal
statistical analysis of Algerian seismicity Abstract： Northeastern
Algeria is known by its high seismic activity as reflected by several
hundreds of events occurring every year. Recently, this area has been the
seat of several seismic sequences such as the 2010 Beni-Ilmane
earthquake sequence and the 2012–2013 Bejaia
earthquake sequences. On the other hand, it is also observed that the seismic
activity of this part of Algeria is dominated by swarms, with high
concentrations in time and space, from a few days to several months, ranging
from a few kilometers to ten kilometers, and sometimes showing a migration of
several kilometers in several weeks. Our
main objective is to understand the global behavior of this seismic zone, it
is of crucial importance to understand what are the soliciting forces and how
they interact. These rupture processes are still under debate, but can be
deduced from the analysis of seismic swarms or aftershock sequences, as both
share similarities. Using a model corresponding to accurate detection and
relocation, we will study seismic clusters in detail by analyzing it from the
inside by identifying the different families that compose it. In doing so, we
will isolate the aftershocks, induced by the coseismic
stress transfer, from the swarm-like events, and we will analyze separately
their spatio-temporal behavior by a fine
statistical analysis. Because the stochastic models, which include an
increasing part of physical reasoning, have been slowly accepted during the
last three decades. The subject of statistical seismology aims at bridging
the gap between physics-based models without statistics, and statistics-based
models without physics. Our objectives are also to understand what mechanisms
are at work in the case of sequences and in the case of swarms, to see to
what extent it is possible to link the observations and analyses that will be
carried out to the regional seismotectonic context, and to understand what
influence this may have for the calculation of seismic hazard. 第85回 講演者：西川友章 （京都大学防災研究所・助教 / 統計数理研究所リスク解析戦略研究センター 地震予測解析プロジェクト ・外来研究員） 日 時： 2022年10月3日(月)
16:15 -18：15 オンライン Title： Application of the ETAS model to slow
earthquake research Abstract： The
epidemic-type aftershock-sequence (ETAS) model is a standard statistical
model of fast earthquake activity. We are attempting to apply the ETAS model
to slow earthquake research. The attempts are focused on the following three
topics: (1) detection of slow earthquakes, (2) improvement of the ETAS model
by considering slow earthquake activity, and (3) construction of a
statistical model to describe slow earthquake activity. In this presentation,
we will present the results of (1) regarding the elucidation of the slow earthquake
distribution in the Japan Trench and preliminary results regarding (2) and
(3). 第84回 講演者：彭 鴻(Peng,
Hong) （京都大学防災研究所附属地震予知研究センター・大学院生） 日 時： 2022年7月7日(木)
16:00 -18：00 オンライン Title： Characteristics of foreshocks preceding
the mainshocks in Japan Abstract： Studying
the foreshocks is an important way to understand the physical mechanism of
earthquakes. In this research, I will use the Japan Meteorological Agency
(JMA) earthquake catalogue from 2001 to 2021 to investigate the
spatiotemporal characteristics of foreshocks for mainshocks. I have three
important conclusions about the earthquakes in Japan: 1) No dependence of the
mainshock magnitude on the foreshock magnitude; 2) No obvious trend between
the foreshock-mainshock distance and the mainshock magnitude; 3) A decrease
in the foreshock-mainshock time difference with the increased foreshock
magnitude. These results of the foreshock-mainshock sequence seem to be more
consistent with the triggering mechanism rather than the
nucleation-controlled process. Thus, I suggest that the ‘cascade model’ or
rupture-controlled model is more reasonable for explaining the physical
mechanism of earthquakes in Japan. 第83回 講演者：Petrillo,
Giuseppe （統計数理研究所 ・外来研究員/ 日 時： 2022年4月26日(火)
16:00 -18：00 オンライン Title： Statistical mechanics models for
seismic occurrence Abstract： Earthquake
occurrence is characterized by quite universal scaling relationships, in
particular regarding the events after a big shock: the aftershocks. Here I
discuss a fault model of two elastic interfaces with different rheology. This
model contains a mechanism for the aftershock occurrence and I will show that
our data recover the experimental scaling relationships at an excellent
qualitative level. We also find that large earthquakes are often anticipated
by a preparatory phase characterized by the occurrence of foreshocks.
Finally, I will mention that thanks to these models, it is possible to carry
out extensive simulations to verify the predictability of seismic phenomena. 第82回 講演者：矢野恵佑 （統計数理研究所 数理・推論研究系 ・准教授）
日 時： 2022年2月1日(火)
16:30 -18：00 オンライン Title： l1 trend filtering based detection of
slow slip events Abstract： Slow
slip events characterized by a slower fault rapture compared to regular
earthquakes have been discovered in tectonic zones worldwide and have helped
us understand the surrounding stress environment including megathrust zone.
In this talk, I will present a new detection method of slow slip events using
l1 trend filtering, a sparse estimation technique together with combined
p-value techniques. The proposed method provides not only candidates of the
events but also confidence values for detections. The synthetic tests showed
that our method successfully detect almost all events with few misdetections.
The application to real data in the Nankai subduction zone in western
Shikoku, southwest Japan, revealed our method detected new potential events
in addition to all known events. 第81回 講演者：竹尾明子 （東京大学地震研究所・助教） 日 時： 2021年11月16日(火)
16:00 -18：00 オンライン Title： Observation, detection, evaluation and
interpretation of slow earthquakes: is it episodic or chaotic? Abstract： I
introduce observation of slow earthquakes by broadband seismometers in the
Nankai subduction zone. This includes (i) how to detect
deep very low frequency earthquakes (VLFEs) with moment magnitudes of ~3 at
the period range of 20-50 s related to tectonic tremors at a frequency range
of 2-8 Hz, (ii) how to evaluate the reliabilities of individual and total
VLFE detections, and (iii) how to interpret the VLFE activities. I currently
focus on the temporal change in the activity mode from episodic to potential
chaotic during a high-stress loading period, which might be mathematically
and physically interesting. 第80回
講演者：沈 迅(Shen, Xun) （総合研究大学院大学・大学院生） 日 時： 2021年10月19日(火)
16：00 – 18:00
オンライン Title： Residual Analysis for State Space
Models Abstract： This
presentation introduces a novel residual analysis-based algorithm for model
learning and hidden state inference in State-Space Models (SSMs) with a
nonlinear response. An SSM with nonlinear response has linear state equation
while the observation equation includes a linear part and a nonlinear part,
where the information of the nonlinear part is not available. In this study,
a neural network model is used to approximate the unknown nonlinear part in
the observation equation, and an Expectation-Maximization (EM) algorithm is
proposed to infer the hidden state and learn the parameters in both the
linear part and the neural network model, from the given sequences of input
data and observation data. In the E-Step, the posterior mean and covariance
for the system hidden state given the sequences of the system input and
observations is inferred via a Kalman filter-based forward recursion and
Rauch-Tung-Streibel smoother backward recursion. In
the M-Step, the model parameters are optimized according to the inferred
hidden state, input data, and observation data. The M-Step consists of two
components: a reconstruction procedure, in which uses the residuals of the
linear model to fit the neural network model, and a parametrization
procedure, which identifies the parameters in the linear part of the state
space model. We apply this newly proposed method to a numerical example and
in a case study of battery capacity estimation. The results show that the
proposed method can achieve better performance on the model learning and
hidden state inference than previously developed tools. 第79回 講演者： Dr. 王 婷(Wang, Ting) （Otago Univeristy
(Department of Mathematics and Statistics), New Zealand・准教授） 日 時： 2021年9月21日(火)
13：00 –14;00 オンライン Title： A time series model for forecasting
earthquake energy release Abstract： Large
earthquakes often occur repeatedly. Modelling the history of earthquakes can
help forecast future hazardous events. In this talk, I will present a time
series model that we have developed to study recurrence patterns of
earthquakes. This model captures both the intensity of earthquake occurrence
and patterns of earthquake energy release in time. I will discuss the
forecasts of earthquake energy release using this model. 第78回 講演者： Dr. 熊 子瑶(Xiong, Ziyao) （統計数理研究所・特任助教） 日 時： 2021年7月27日(火)
16：00 – 18:00
オンライン Title： The Research of Long-Term Earthquake
Hazard Estimated from a Modern Catalog Abstract： In
this study, to obtain optimal estimates of the earthquake hazard in North
China based on the modern earthquake catalog, we used two variable kernel
function estimation methods, proposed by Stock and Smith, and Zhuang, the
Bayesian Delaunay tessellation smoothing method by Ogata (ODTB), and a newly
proposed incomplete centroidal Voronoi tessellation (ICVT) method, to
calculate the total and background seismic spatial occurrence rates for the
study area. The sophisticated ODTB method is more stable than the others, but
is relatively expensive, in terms of computation demands, whereas Zhuang et
al.’s kernel estimate and the new ICVT method are able to provide reasonable
estimates and easier to implement. We also calculated the spatial variations
of the b-value, using the Bayesian method with smoothness prior proposed by
Ogata. Using comparative analyses and simulation experiments, we show that
all the methods give similar spatial patterns of seismic occurrences. 第77回 講演者： 山田真澄 （京都大学防災研究所・助教） 日 時： 2021年6月24日(木)
16:00 -18：00 オンライン Title： IPFx: a new source
determination algorithm for earthquake early warning Abstract： An
earthquake early warning (EEW) system rapidly analyzes seismic data to report
the occurrence of an earthquake before strong shaking is felt at a site. In
Japan, the integrated particle filter (IPF) method, a new source estimation
algorithm, was recently incorporated into the EEW system to improve the
source estimation accuracy during active seismicity. The problem of the
current IPF method is that it uses the trigger information computed at each
station in a specific format as the input and is therefore applicable to only
limited seismic networks. This study proposes the extended IPF (IPFx) method to deal with continuous waveforms and merge
all Japanese real-time seismic networks into a single framework. The new
source determination algorithm processes seismic waveforms in two stages. The
first stage (single-station processing) extracts trigger and amplitude
information from continuous waveforms. The second stage (network processing) accumulates
information from multiple stations and estimates the location and magnitude
of ongoing earthquakes based on Bayesian inference. In 10 months of
continuous online experiments, the IPFx method
showed good performance in detecting earthquakes with maximum seismic
intensity >=3 in the Japan Meteorological Agency (JMA) catalog. By merging
multiple seismic networks into a single EEW system, the warning time of the
current EEW system can be improved further. The IPFx
method provides accurate shaking estimation even at the beginning of event
detection and achieves seismic intensity error <0.2 5 s after detecting an
event. This method correctly avoided two major false alarms on January 5,
2018, and July 30, 2020. The IPFx method offers the
potential of expanding the JMA IPF method to global seismic networks. 第76回 講演者： Dr. 常 莹(Chang, Ying) （南方科学技術大学 地球空間科学学院・特別研究員）
日 時： 2020年1月14日(火)
13:30 -14:30 場 所： 統計数理研究所 D313/314セミナー室5 Title： Differences between mantle wedge
earthquakes and intraslab intermediate-depth
earthquakes from spatial b-value image Abstract： Intermediate-depth
earthquakes follow the power law distribution, the Gutenberg-Richter law logN=a-bM. The b-value shows
the proportion of small magnitude earthquakes relative to the large ones. A
large proportion of small earthquakes usually appears in high thermal anomaly
region and low ambient stress status field. High b-value anomalies in
subduction zones have been associated with dehydration of subducting oceanic
crust, which is a plausible mechanism of intermediate-depth earthquakes, or
low velocities indicating magmatic activities. The analysis of b-value may be
a useful tool to investigate the mechanisms of earthquakes and an indicator
of structural difference in subduction zones, and especially beneficial to
subduction zones which have intensive small magnitude earthquakes. In
southwestern Colombian subduction zone, a high rate of intermediate-depth
earthquakes appears in the Cauca cluster from the earthquake catalog of Servicio Geológico Colombiano. Previous study of the intermediate-depth
earthquakes in the cluster show a continuous 20-km thick seismic zone dipping
to southeast with 33°–43° dip angle increasing to the south, and two mantle
wedge earthquake columns extending 30–40 km normal to and above the top
surface of the subducting slab. The focal mechanisms of earthquakes in the
cluster have various types and variable orientations of nodal planes. The
intermediate-depth earthquakes in southwestern Colombian subduction zone
occur in a spatial variant tectonic stress field and have complex mechanisms.
Intraslab earthquakes generally have smaller
b-value than mantle wedge earthquakes. In the slab, high b-value anomalies
appear in the top layer of the subducting slab and the mantle wedge. The
facts of focal mechanisms, the stress fields, and b-value anomalies indicate
dehydrated fluid involved structures and magmatic activities. 第75回 -1 講演者： Dr. 李 紅蕾(Li, Honglei) （中国地震局 地球物理研究所
・助教） 日 時： 2019年 8月
28日(水) 13:00 -13:45 場 所： 統計数理研究所 D313/314セミナー室5 Title： Bayesian assimilation inversion of
gravity anomalies and parameters optimization Abstract： It is
well known that the gravity inversion is a classical ill-posed problem. The
parameters of regularization must be introduced for inversion. In this study,
we design a Bayesian assimilation inversion strategy, according to the
subjective blindness problems in the gravity anomaly inversion, which can
optimize balance multi-source gravimetric data, various model constraints and
multiple hyperparameters which related to the accuracies of the observation
data. We employed the Akaike’s Bayesian Information Criterion (ABIC) for the
estimated these trade-off parameters. Based on this novel strategy, we
designed some cases to test gravity inversion using gravity datasets from the
difference measurements with varying accuracy levels. This inversion strategy
can achieve different type gravimetric observations integration primely,
evaluate the observations and prior model constraints weight objectively and
it will have a very bright application prospect in the future. -2
講演者： Prof. 陳 石(Chen, Shi) （中国地震局 地球物理研究所
・教授） 日 時： 2019年 8月
28日(水) 13:45 -15:00 場 所： 統計数理研究所 D313/314セミナー室5 Title： A Bayesian approach of network
adjustment for campaigned gravity survey: methodology and model test Abstract： The
drift rate of the relative gravimeter differs from time to time and from meter
to meter, and it is inefficient to estimate the drift rate by returning to
the base station or stations with known gravity value frequently in a
campaigned gravity survey for the large-scale region. Unlike the conventional
gravity adjustment procedure which employed a linear drift model, we assumed
the variation of drift rate is a smooth function of the time-lapse, and
proposed a new gravity data adjustment method by means of objective Bayesian
statistical interference. Some hyper-parameters were used to as trade-off to
balance the fitted residuals of gravity differences between station pairs and
the smoothness of the temporal variation of the drift rate. We employed the
Akaike’s Bayesian Information Criterion (ABIC) to estimate these
hyper-parameters. A comparison between results from applying the classical
and the Bayesian adjustment methods to some simulated datasets shows that the
new method is more robust and adaptive for solving the problems that are
caused by the irregular non-linear meter drift. The new adjustment method is
capable to recover the time-varying drift rate function of each gravimeter,
and also to optimize the weight constraints for each gravimeter that is used
in the gravity survey. We also carried out an error analysis for the inverted
gravity value at each station on based the marginal distribution. Finally, we
used this approach to process the real campaigned gravity data from an
observation network in North China. In this study, we rewrite the network
adjustment equations by introducing new trade-off parameters that balance the
residual of campaigned gravity data and the drift rate of the relative
gravimeter. This new method is tested with some synthetic datasets that are
been simulated with different drift models based on a real gravity
observation network. A comprehensive analysis on the fitting residuals and
the accuracy of adjustment is carried out. -3
講演者： Dr. Bayona, Jose Antonio （GFZ German Research Center for
Geosciences ・特別研究員） 日 時： 2019年 8月
28日(水) 15:30 -16:15 場 所： 統計数理研究所 D313/314セミナー室5 Title： An updated global hybrid earthquake
model obtained from the optimal combination of interseismic
strain rates and smoothed-seismicity data Abstract： The
construction of global seismicity forecasts gives promise of definitive
prospective test results to be obtained in only a decade. Hence, there have
been several efforts to generate global earthquake-rate
models based on interseismic strain rates and
earthquake-catalog data, which currently provide high-resolution global
coverage. The Global Earthquake Activity Rate (GEAR1) seismicity model, for
instance, optimally combines crustal deformation rates with
smoothed-seismicity information to forecast long-term rates of earthquake
production worldwide. The
total earthquake number, spatial, and magnitude distributions forecasted by
GEAR1 are all consistent with observed seismicity, according to 2-yr
prospective test results. Nonetheless, inconsistencies in spatial seismicity
between the Seismic Hazard Inferred From Tectonics (SHIFT_GSRM2f) earthquake
forecast, the tectonic parent component of GEAR1, and the observations are
also found during the evaluation period. These discrepancies primarily stem
from SHIFT_GSRM2f underestimations of subduction-zone earthquake activity. The Subduction
Megathrust Earthquake Rate Forecast (SMERF) earthquake model was accordingly
designed to improve SHIFT_GSRM2f estimates of shallow interface seismicity.
SMERF is based on the use of regional seismicity parameters and the
conservation of moment principle. Therefore, the physics-based and
data-driven approach of SMERF is desired to upgrade the tectonic parent
component of GEAR1. In
this study, we integrate SMERF earthquake rates in subduction zones with
SHIFT_GSRM2f estimates everywhere else on Earth to generate a new global
geodetic-based earthquake model, referred to as the Tectonic Earthquake
Activity Model (TEAM) seismicity forecast. We detect significant spatial
variations of earthquake activity between SHIFT_GSRM2f and TEAM in all
subduction zones. Particularly, we identify the major differences
within subduction interfaces like Bougainville, Southern Kuril and Western
Alaska. We
moreover combine TEAM with the Kagan–Jackson smoothed seismicity (KJSS)
model, the earthquake parent component of GEAR1, to create an updated hybrid
seismicity model named GEAR2. We currently explore the optimal combination of
geodetic strain rates and earthquake- catalog data needed to better
characterize spatial earthquake patterns worldwide. Finally, we will submit the
earthquake-rate forecasts to the Collaboratory for the Study of Earthquake
Predictability (CSEP) testing center for independent retrospective,
pseudo-prospective and prospective evaluation. 第74回 講演者： Dr. Chen, Feng （School
of Mathematics and Statistics, University of New South Wales, Australia・Senior Lecturer(准教授相当)） 日 時： 2019年5月21日(火)
15:00 -16:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Direct Likelihood Evaluation for the
Renewal Hawkes Process Abstract： An interesting
extension of the widely applied Hawkes self-exiting point process, the
renewal Hawkes (RHawkes) process, was recently
proposed by Wheatley et al. (2016 CSDA), which has the potential to
significantly widen the application domains of the self-exciting point
processes. However, the authors claimed that computation of the likelihood of
the RHawkes process requires exponential time and
therefore is practically impossible. They proposed two
Expectation-Maximization (EM) type algorithms to compute the maximum
likelihood estimator (MLE) of the model parameters. Because of the
fundamental role of likelihood in statistical inference, a practically
feasible method for likelihood evaluation is highly desirable. In this talk
we present an algorithm that evaluates the likelihood of the RHawkes process in quadratic time, a drastic improvement
from the exponential time claimed by Wheatley et al. We demonstrate the
superior performance of the resulting MLEs of the model relative to the EM
estimators through simulations. We also present a computationally efficient
procedure to calculate the Rosenblatt residuals of the process for
goodness-of-fit assessment, and a simple yet efficient procedure for future
event prediction. The proposed methodologies were applied on real data from
seismology and finance. This talk is based on joint work with Tom Stindl. The R package implementing the proposed
methodology is available on the CRAN:
https://cran.r-project.org/web/packages/RHawkes/. 第73回
講演者： Prof. Wang, Baoshan （名古屋大学大学院環境学研究科附属 地震火山研究センター・外来研究員 (中国 科学技術大学・教授)） 日 時： 2019年4月23日(火)
15:00 -16:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Migration of micro-earthquakes during
cyclic operation of Underground Gas Storage and the Changdao
earthquake swarm Abstract： The
distribution of earthquakes is controlled by the stress state and material
properties. And the migration of earthquakes can be used to infer the changes
in subsurface stress or medium properties. In this presentation, we will
introduce two case studies of seismicity migrations related respectively to
the Hutubi Underground Gas Storage (UGS) in Junggar
Basin and the Changdao earthquake swarm occurred in
the Bohai Sea. We first use the matched and filter technique to detect more
events than the local catalog. And then we relocate the detected events using
double difference method with waveform cross-correlation-based differential
travel-times. Micro-earthquakes clearly migrate outward from the UGS during
the cyclic operation, the migration may result from the stress transfer
during multiple injection and extraction. The seismicity during Changdao earthquake swarm unilaterally migrated
south-west accompanied by some bursts along several conjugate faults. We
suggest that fluid diffusions are responsible for the earthquake migration in
Changdao. 第72回 -1 講演者： Prof. 陳 暁非(Chen, Xiaofei) （中国 南方科技大学
地球・宇宙科学系 ・教授）
日 時： 2019年 1月
22日(火) 13:30 -14:30 場 所： 統計数理研究所 A504セミナー室7 Title： Phase diagram of earthquakes and
implications -2
講演者： 楠城 一嘉 （静岡県立大学 グローバル地域センター ・特任准教授）
日 時： 2019年 1月
22日(火) 14:30 -15:30 場 所： 統計数理研究所 A504セミナー室7 Title： An investigation into the relation
between the occurrence of large earthquakes and time-dependent decrease in b
value Abstract： The
Gutenberg-Richter frequency-magnitude distribution of earthquakes is well
established in seismology. The b value, the slope of the relation between
frequency and magnitude is typically 1, but it often shows variations around
1. The b value has shown a pronounced decrease over several years prior to
large earthquakes around their hypocenters. Specific examples include the
M9-class 2011 Tohoku and 2004 Sumatra earthquakes (e.g., Nanjo et al., 2012).
However, it has remained uncertain whether there is the existence of tendency
that large earthquakes occur, following the appearance of b-value decrease.
To prove this existence, we are now trying to create a method to make and
evaluate trial retrospective forecasts of large earthquakes (e.g., M8+
earthquakes from 1980 to 2017 on the worldwide basis, using the ANSS
catalog), based on decreasing trend in b values. This is still ongoing
research, so that, in this talk, we present the preliminary result. Based on it, we then discuss the
possibility that a decrease in b values can be considered as a precursor to
large earthquakes and an important indicator that has potential in terms of
forecasting large earthquakes. -3
講演者： Dr. Wang, Yuchen （東京大学 地震研究所
・特別研究員） 日 時： 2019年 1月
22日(火) 15:30 -16:30 場 所： 統計数理研究所 A504セミナー室7 Title： Tsunami Data Assimilation in Disaster
Mitigation Abstract： Tsunami
data assimilation has been proposed for tsunami early warning. It estimates
the tsunami waveform by assimilating offshore observed data into a numerical
simulation, without calculating initial sea surface height at the source. The
optimum interpolation method is adopted in data assimilation. However,
previous data assimilation method has a relatively high computational load,
as it is necessary to run numerical simulations to obtain the tsunami
wavefield. In
our research, we proposed a new tsunami data assimilation approach based on
Green’s function to reduce the computation time for tsunami early warning.
Green’s Function-based Tsunami Data Assimilation (GFTDA) forecasts the
waveforms at Points of Interest (PoIs) by
superposition of Green’s functions between observation stations and PoIs. Unlike the previous assimilation approach, GFTDA
does not require the calculation of the tsunami wavefield for the whole
region during the assimilation process, because the Green’s functions have
been calculated in advance. The forecasted waveforms can be calculated by a
simple matrix manipulation. This
approach greatly reduces the time cost for tsunami warning because it no
longer needs to run the tsunami propagation model, as long as the Green’s
functions are calculated in advance. By combining with Huygens-Fresnel
Principle, this method could be applied to regions without a dense
observation network. The applications to the 2012 Haida Gwaii earthquake, the
2004 off the Kii Peninsula earthquake and the 2009
Dusky Sound earthquake revealed that GFTDA helped achieve a more accurate and
quicker tsunami early warning while saving the cost. 第71回
講演者： Dr. Harte, David （GNS
Science, New Zealand ・Statistical
Seismologist and Hazard Modeller(上席研究員)） 日 時： 2018年 11月
6日(火)
16:00 -17:00 場 所： 統計数理研究所 D313セミナー室5 Title： Evaluation of Earthquake Stochastic
Models Based on Their Real-Time Forecasts: A Case Study of Kaikoura 2016 Abstract： The M7.8
Kaikoura NZ earthquake started at 2016-11-13 11:02:56 (UTC) with epicentre (173.02 deg E, 42.69 deg S), 15km NE of Culverden, and lasted for about two minutes. It caused
multiple fault ruptures to the north as far as Seddon (150km from epicentre), the location of a large sequence in 2013.
Since the mainshock, the bulk of the aftershock activity has also migrated to
the north. We analyse real-time probability forecasts produced during
the Kaikoura 2016 aftershock sequence, based on a spatial ETAS model.
Forecasts were derived by simulating the model forward over the required time
interval multiple times. Each forecast was evaluated at the end of the
forecast time interval by comparing with the number of events that eventually
occurred. Further, the spatial and temporal forecast characteristics were
evaluated by comparing the actual log-likelihood with those of the
simulations. We
show that the model was forecasting too fewer aftershocks immediately after
the mainshock, and too many aftershocks in the later stages of the sequence.
The too fewer aftershocks is probably caused by many missing smaller events
early in the sequence and an initial large under-estimate of the mainshock
magnitude, being 6.6 with a final solution of 7.8 three days later. Various catalogue,
model and methodological problems become evident during such a real-time
experiment and these are also discussed. 第70回 講演者： Dr. 陳 石(Chen, Shi) （中国地震局 地球物理研究所
・准教授） 日 時： 2018年 8月28日(火)
16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： A new approach for terrestrial
relative gravity adjustment using smoothness priors of drift rate Abstract： The
relative gravimeter, which generally uses zero-length springs as the gravity
senor, is still as the first choice in the field of terrestrial gravity measurement
because of its efficiency and low-cost. Because the drift rate of instrument
can be changed with the time and meter, it is necessary for estimating the
drift rate to back to the base or known gravity value stations for repeated
measurement at regular hour’s interval during the practical survey. However,
the campaigned gravity survey for the large-scale region, which the distance
of stations is far away from serval or tens kilometers, the frequent back to
close measurement will highly reduce the gravity survey efficiency and
extremely time-consuming. In this study, we proposed a new gravity data
adjustment method for estimating the meter drift by means of Bayesian
statistical interference. In our approach, we assumed the change of drift
rate is a smooth function depend on the time-lapse. The trade-off parameters
were be used to control the fitting residuals. We employed the Akaike’s
Bayesian Information Criterion (ABIC) for the estimated these trade-off
parameters. The comparison and analysis of simulated data between the
classical and Bayesian adjustment show that our method is robust and has
self-adaptive ability for facing to the unregularly non-linear meter drift.
At last, we used this novel approach to process the realistic campaigned
gravity data at the North China. Our adjustment method is suitable to recover
the time-varied drift rate function of each meter, and also to detect the
meter abnormal drift during the gravity survey. We also defined an
alternative error estimation for the inversed gravity value at each station
on the basis of the marginal distribution theory. 第69回 講演者： Dr. Varini, Elisa （Institute
of Applied Mathematics and Information Technology, National Research
Council(CNR-IMATI), Italy ・ 日 時： 2018年3月
20日(火) 13:30 -14:30 場 所： 統計数理研究所 4階ラウンジ Title： Identification of earthquake clusters
in Northeastern Italy by different approaches Abstract： Earthquakes
do not occur randomly in space and time; rather, they tend to group into
clusters that can be classified according to their different properties,
presumably related to the specific geophysical properties of a seismic
region. Thus, we aim at exploring the spatio-temporal
features of earthquake clusters in North- eastern Italy, based on a
systematic analysis of robustly and uniformly detected seismic clusters
reported in the local bulletins, compiled at the National Institute of
Oceanography and Experimental Geophysics since 1977. First, data are analysed by a method for detection of earthquake
clusters, based on “nearest-neighbor dis- tances”
between events in space-time-energy domain (Baiesi
and Paczuski, 2004). Then they are analysed by applying a stochastic declustering
algorithm based on ETAS model (Zhuang, Ogata, and Vere-Jones, 2002), in which
events are associ- ated
to clusters in accordance with their estimated probability distributions.
Both methods allow for a robust data-driven identification of seismic
clusters, and permit to disclose possible complex features in the internal
structure of the identified clus- ters. By comparing these approaches, we take advantage of
a different description of the clustering process in order to assess
consistency and reliability of the findings. We found some evidence that
swarm-like sequences are mostly associated with the north-western part of the
study region, while burst-like sequences tend to occur in the south-eastern
part of it. Key
words: earthquake clustering, nearest-neighbor distance, stochastic decluster- ing, ETAS model. 第68回
講演者： Prof. 馬 國鳳 (Ma, Kuo-Fong) （台湾国立中央大学 地球科学系
・教授） 日 時： 2018年 1月31日(火)
13:30 -14:30 場 所： 統計数理研究所 A508セミナー室6 Title： Probability on Seismic Hazard
Assessment of Taiwan: Progress and Challenge Abstract： Taiwan
Earthquake Model published the first public PSHA map of Taiwan in late 2015,
and had been widely discussed and adopted in a way toward seismic hazard
mitigation and risk assessment. The model adopts the source parameters of 38 seismogenic structures under a single fault segment
basis, and shallow areal source for crustal events, and, intraplate, and interplate subduction events. To evaluate the potential
ground-shaking resulting from each seismic source, the corresponding
ground-motion prediction equations for crustal and subduction earthquakes are
adopted. The highest hazard probability is evaluated to be in Southwestern
Taiwan and the Longitudinal Valley of Eastern Taiwan. Right after the
publication of PSHA2015, a damaging earthquake of 2016 Meinong
M6.6 earthquake occurred in southwestern Taiwan from non-identified seismogenic structure. Historically, significant crustal
damaging earthquakes in Taiwan mostly were from complicated fault system
rather than from a single fault segment (e.g. 1935 M7.5 Hsinchu-Taichung, and
1906 M7.1 Meishan earthquakes). Technically, the 2016 M6.6 Meinong earthquake could be categorized into areal source
event. The 1906 M7.1 Meishan earthquake, recently, had been resolved to be
from a fault system of blind NE strike thrust with EW surface breaching fault
(one of the identified seismogenic structures).
These events suggest that a single fault segment evaluation for seismic
hazard might be inadequate. Despite the difficulty in giving slip rate of a
single segment into the probability calculation, how to deal with the slip
rate in probability from complex fault system is a challenge. In the same
time, PSHA evaluation of ground motion from areal source and active fault
might double count the hazard for an event involved from the both category.
How to determine the maximum magnitude events from areal source, and the
delineation of the involvement of the areal source event to complex fault
system brought another attention on the source categorization and its
partition in probability for seismic hazard assessment. 第67回 講演者： Dr. Wu, Stephen （統計数理研究所
モデリング研究系 ・助教）
日 時： 2017年 10月
3日(火)
16:30 -17:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Review of earthquake early warning
from an engineering perspective Abstract： After
the concept of earthquake early warning (EEW) first appeared in the 1980s, we
now have officially working EEW systems around the world, such as, Japan,
Taiwan, Mexico, USA, Italy, and so on. The algorithms of EEW have evolved to
a large variety, including both on-site, regional and some hybrid methods.
The underlying seismic model ranges from simple point-source ground motion
prediction equations to sophisticated finite fault prediction models.
Recently, researchers have also proposed to develop real-time GPS based EEW
and purely data-driven seismic intensity prediction models. Besides the
scientific advances, engineering applications of EEW have became
another important research topic. In this talk, I will briefly go through all
the topics above in a practical implementation point of view, and highlight
some important challenge of EEW. 第66回
-1 講演者： Dr. 吴(呉) 晶（Wu,
Jing） （中国科学院地質・地球物理研究所 ・准教授） 日 時： 2017年 8月
29日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Seismicity and Seismic Anisotropy
beneath eastern Tibet Abstract： Eastern
Tibet is one of the most tectonically active areas in Chinese Mainland. Songpan-Ganzi Block, Longmenshan
Orogenic Belt, and Sichuan Basin are located in this area from west to east.
The uplifting mechanisms of eastern Tibet are hot debated in recent years. In
addition, a series of great
earthquakes in eastern Tibet (2008 Wenchuan Mw7.9, 2013 Lushan Mw6.6, and the
most recent 2017 Jiuzhaigou Mw6.5) show the urgent
need for accurate seismicity detection, as we are still not clear how
aftershocks evolve because of the poor station coverage and overlapping of
aftershocks. Here,
I would like to present our studies in eastern Tibet, including seismic
anisotropy and seismicity detection. Crustal anisotropy are inversed
according to shear-wave splitting of Pms phase from
permanent station, and we observed that tectonic escaping, crustal flow, and
crustal shortening may contribute to the tectonic evolution in various
sub-areas in eastern Tibet. We also concentrated on the seismicity detection
of 2013 Lushan earthquakes, and obtained details of the spatial and temporal
aftershock evolution with the help of matched filter technique, suggesting
that afterslip is the potential mechanism triggering
Lushan aftershocks. In
order to understand more about eastern Tibet, we would keep on working in
this area by focusing on the SKS, SKKS, PKS (hereafter, XKS phase) splitting
and repeating earthquakes, which may reveal geodynamic processes in mantle and
fault slip rate respectively. -2
講演者： Dr. Mak, Sum
（German
Research Centre for Geosciences (GFZ-Potsdam), Germany ・リサーチ・アシスタント(RA)） 日 時： 2017年 8月
29日(火) 17:00 -18:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Empirical Validation of Seismic Hazard
Models Abstract： Seismic
hazard, for applications such as engineering structural design and insurance
loss estimation, is represented as a probabilistic forecast. The most common
form of seismic hazard representation is in the probability for a certain
level of ground motion exceedance. The hazard also varies spatially, forming
a hazard map. As
the amount of observation accumulates, recently there are more and more
attempts to statistically evaluate the performance of probabilistic seismic
hazard prediction using ground motion observations. This talk presents the
general theory of this type of studies, using the United States Geological
Survey National Seismic Hazard Maps as an example. 第65回
講演者： Prof. 劉 正彦 (Liu,Jann-Yenq) （台湾国立中央大学 太空科学研究所
・教授） 日 時： 2017年 6月
13日(火) 16:00 -17:00 場 所： 統計数理研究所 A508セミナー室6 Title： Statistical Analyses on seismo-ionospheric disturbances and precursors of the 11
March 2011 M9.0 Tohoku Earthquake Abstract： Ground-based
observations of the GPS TEC (total electron content) and satellite probing of
radio occultation (RO) of FORMOSAT-3/COSMIC (F3/C) are employed to study the
co-seismic disturbances and precursors of the 11 March 2011 M9.0 Tohoku
earthquake. It is for the first
time the tsunami origin observed.
The horizontal propagation of seismo-traveling
ionospheric disturbances (STIDs) induced by tsunami and seismic waves of the
Tohoku earthquake are observed by the GPS TEC, while the associated vertical
propagation is probed by multi ground-based observations and F3/C RO
sounding. The raytracing and
beamforming techniques are used to find the propagation and origin of the
STIDs triggered by the seismic and tsunami waves. Meanwhile, z test and the
Receiver Operating Characteristic (ROC) curve are employed to find the
characteristic of the temporal SIPs (seismo-ionospheric
precursor) of the GIM (global ionosphere map) TEC associated with earthquakes
in Japan during 1998-2014. It is
found that anomalies appearing 3 days before the Tohoku earthquake well agree
with the characteristic, which suggests that the SIPs of the earthquake have
been observed. A global study on
the distribution of anomalies shows that the SIPs specifically and
continuously occur over the epicenter on 8 March 2011, 3 days prior to the
Tohoku earthquake. Finally, a
physical model of the ionosphere is used to reproduce the observed anomalies
and find possible causal of the Tohoku SIPs. 第64回
-1 講演者： Prof. 蒋 長勝（Jiang, Changsheng） （中国地震局地球物理研究所 ・研究員(教授相当)） 日 時： 2017年 3月
29日(水) 13:30 -14:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Assessment of earthquake monitoring capability
and score of seismic station detection capability in China Seismic Network
(2008~2015) Abstract： In
order to scientifically assess the earthquake monitoring capability of China
Seismic Network (CSN), we investigated the seismic observation date of CSN
with total 1001 stations considered during the period from 2008/10/01 to
2015/09/17. The distribution of seismic detection probability (PE) and the
minimum magnitude of completeness (MP) were analyzed by using the method of
"Probability-based magnitude of completeness" (PMC). In addition to
mapping the seismic monitoring capability for entire CSN, we developed a new
method named “seismic monitoring capability scale”, and defined the seismic
detection capability scale Dscore to analyze the
statistical characters and spatial distribution of the seismic detection
capabilities for each national and regional stations, which based on the
amplitude contour curves. Additionally, the method of setting the "best
objective function" of seismic detection capability was used to simulate
the seismic monitoring capability improvement of CSN obtained by improving
the conditions of observation. -2
講演者： Prof. 陳 石（Chen, Shi） （中国地震局地球物理研究所・研究員(教授相当)） 日 時： 2017年 3月
29日(水) 14:30 -15:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Gravity changes before and after the
2015 Mw 7.8 Gorkha, Nepal and the 2008 Mw 7.9 Wenchuan, China earthquakes Abstract： Absolute
gravity measurements at four stations in southern Tibet show significant
gravity increase from 2011 to 2013, up to ~22 μGals
at the Shigatse station. Here we report new
measurements at the Shigatse station conducted in
2016, which show that the gravity increase ended after the 2015 Nepal Mw 7.8
earthquake. Similar gravity changes are measured at the Pixian
absolute gravimetry station near the epicenter of the 2008 Wenchuan Mw 7.9
earthquake, where 17 absolute gravity measurements have been conducted since
2002, including four pre-earthquake measurements that show ~30 μGals increase from 2002 to 2008. The trend of gravity
increase ended after the Wenchuan earthquake. We analyzed the gravity effects
from ground vertical motions using data from continuous GPS stations
collocated with these absolute gravimetry stations, and surficial and
hydrological processes using local hydrological data. We found that these
effects are much smaller than the observed gravity increase before the
earthquakes, and suggest that the pre-earthquake gravity increase may be
caused by strain and mass (fluid) transfer in broad seismic source regions. Further
studies are needed to validate such pre-earthquake gravity changes, which
however are difficult to be resolved from space-based gravity models. 第63回
講演者： Prof. 周 仕勇
(Zhou, Shiyong) （北京大学
地球空間科学学院 ・教授） 日 時： 2017年 1月
18日(水) 16:00 -17:00 場 所： 統計数理研究所 A504セミナー室7 Title： Could the abnormal seismicity increase
triggered remotely by great earthquakes be used to judge the regional
earthquake risk? Abstract： We
study the possible dynamic triggering effect in Northern China, including
Tangshan area, when the Japan Tohoku M_w 9.0
earthquake happened at March 11th, 2011(In short, Japan Tohoku earthquake).
We use Time-Space Epidemic Type Aftershock Sequence Model (Time-Space ETAS
model) as the seismicity statistic model in this research, using Stochastic Declustering method and Gauss Kernel function to get
Time-Space background seismicity variation image on the target area. Thus
this research may find out whether the area with large co-seismic
displacement would have sudden abnormal seismicity increase. As a result, the
Japan Tohoku earthquake has little effect on the total and background
seismicity of Tangshan area, which means that the seismic structure of
Tangshan area is fundamentally stable. However, when we did research on the
possible dynamic triggering effect in Southwestern China, we found that seismicity on some place
in Sichuan and Yunnan has sudden abnormally increased almost at the same time
when 2004 Sumatra M_w 9.2 earthquake (In short,
2004 Sumatra earthquake) happened. That is the statistic phenomenon which
shows the existence of co-seismic dynamic triggering. This research helps to
find out the exact position of the high abnormal seismicity area in its time
image. Besides, this time image can also help to detect whether this high
“abnormal” seismicity in the picture is really abnormal or is triggered by
certain large earthquake or not. 第62回
-1 講演者： Dr. Helmstetter, Agnès （Institut des Sciences de la
Terre, France ・Research
fellow(上席研究員)）
日 時： 2016年 10月
26日(水) 15:00 -16:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Repeating icequakes Abstract： We
have detected repeating icequakes on three different sites : an alpine
glacier (Argentière, massif du Mont-Blanc, France),
near the base of the western margin of the Greenland Ice Sheet, and on a
rock-glacier (Gugla, Valais, Switzerland).
Repeating icequakes are events with very similar waveforms, located at the
base of a glacier, with quasi-periodic recurrence times of the order of
minutes or hours, and progressive changes in magnitude. The activity of each
cluster is intermittent. Burst-like episodes can last for a few hours or
months, and then disappear. In greenland, temporal
changes of inter-event times and magnitudes are correlated with temperature,
because surface meltwater yields an increase in basal water pressure and in
glacier flow velocity. But each cluster reacts differently to temperature
changes, probably because the connectivity to the subglacial drainage system
is different for each asperity. In contrast, we observed no correlation
between temperature and repeating icequakes at Glacier d'Argentière
and at Gugla rock Glacier. However, we observed
bursts of repeating icequakes at Gugla triggered by
snow falls. We suggest that the snow weight may have induced a transition
between aseismic slip and unstable stick-slip. In addition to repeating basal
icequakes, we also detected swarms of icequakes induced by crevasse opening,
probably promoted by melt-water flow. These swarms of icequakes have very
different statistical distributions in time, space and magnitude compared
with repeating icequakes. Their recurrence times are power law distributed,
their magnitudes obey the Gutenberg-Richter law, and the size of each cluster
is several tens of meters. These different patterns may help to identify the
triggering mechanisms of earthquake swarms, and to discriminate between fluid
flow and aseismic slip. -2
講演者： Dr. Harte, David （GNS
Science, New Zealand ・Statistical
Seismologist and Hazard Modeller(上席研究員)） 日 時： 2016年 10月
26日(水) 16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Determining the Uncertainty in
Earthquake Forecasts Abstract： Forecasts
based on a self-exciting model, like ETAS, are often produced by simulation.
From these simulations, an empirical probability distribution can be derived
for a forecast in a specified space-time-magnitude volume. We
will show that the forecast distribution can be characterised
by probability generating functions. This shows how deeply complex the
dependency structure is in such a model. While of theoretical interest, they
remain intractable to me in a practical sense. We
then consider whether the forecast distribution can be approximated, using
less computation than that required for simulation, by a "standard
" multi-parameter probability distribution. The multiple parameters
gives us the ability to at least fit a distribution with comparable mean and
variance to that of the forecast distribution. One of the main questions is
how to determine the forecast mean, and then given the mean, the variance. 第61回
講演者： Dr. Helmstetter, Agnès （Institut des Sciences de la
Terre, France ・Research
fellow(上席研究員)） 日 時： 2016年 10月
11日(火) 16:00 -17:00 場 所： 統計数理研究所 A504セミナー室7 Title： Adaptive smoothing of seismicity in
time, space and magnitude for long-term and short-term earthquake forecasts Abstract： We present
new methods for long-term and short-term earthquake forecasting that employ
space, time, and magnitude kernels to smooth seismicity. These forecasts are
applied to Californian and Japan seismicity and compared with other models.
Our models are purely statistical and rely on very few assumptions about
seismicity. In particular, we do not use Omori-Utsu
law. The magnitude distribution is either assumed to follow the Gutenberg-Richter law or is
estimated non-parametrically with kernels. We employ adaptive kernels of
variable bandwidths to estimate seismicity in space, time, and magnitude
bins. For long-term forecasts, the long-term rate in each spatial cell is
defined as the median value of the temporal history of the smoothed
seismicity rate in this cell, circumventing the relatively subjective choice
of a declustering algorithm. For short-term
forecasts, we simply assume persistence, that is, a constant rate over short
time windows. Our long-term forecast performs slightly better than our
previous forecast based on spatially smoothing a declustered
catalog. Our short-term forecasts are compared with those of the
epidemic-type aftershock sequence (ETAS) model. Although our new methods are
simpler and require fewer parameters than ETAS, the obtained probability
gains are surprisingly close. Nonetheless, ETAS performs significantly better
in most comparisons, and the
kernel model with a Gutenberg-Richter law attains larger gains than the
kernel model that non-parametrically estimates the magnitude distribution.
Finally, we show that combining ETAS and kernel model forecasts, by simply
averaging the expected rate in each bin, can provide greater predictive skill
than ETAS or the kernel models can achieve individually. 第60回
講演者： Dr. Hasih Pratiwi
（Sebelas Maret
University, Surakarta, Indonesia ・
Lecturer） 日 時： 2016年 8月
30日(火) 16:00 -17:00 場 所： 統計数理研究所 A504セミナー室7 Title： ESTIMATING EARTHQUAKE RISK BY USING
EPIDEMIC TYPE AFTERSHOCK SEQUENCE MODEL APPROACH (Case Study in Java Island,
Indonesia) (Hasih
Pratiwi and Respatiwulan)
Abstract： Physical
losses caused by earthquakes are death or casualties and damage to buildings
and areas. Therefore, efforts to reduce the risk of earthquake are very
necessary. Relating to risk or loss generated by earthquake it is of course
does not get out of insurance world. Insurance as nonbank financial
institution can give guarantee or protection as done by banking sector. This
research discusses a method to estimate earthquake risk by using epidemic
type aftershock sequence model. Calculation of earthquake risk can be
determined through a damage probability matrix. The information contained in
the damage probability matrix and in the damage ratios can be combined for
defining the mean damage ratio. Then, based on the estimation of intensity
function in epidemic type aftershock sequence model we can formulate the
expected annual damage ratio, and the existing method for calculating
earthquake risk is modified to obtain earthquake insurance premium rates. We
use earthquakes data in Java Island obtained from U.S. Geological Survey
which consists of time of occurrence, longitude, latitude, magnitude, depth,
and catalogue source. The time span of this research is from January 1, 1973,
to December 31, 2010. Zonation map of earthquake generated in this research
is different from the zonation map SNI 2010 issued by Indonesian Ministry of
Public Works. The difference lies on the distribution of earthquake zone,
especially in regencies and cities with high risk. The earthquake insurance
premium rates for high and medium intensities obtained from this research are
significantly greater than the premium rates issued by PT Reasuransi
Maipark Indonesia. The current premium rates are
relatively small when compared with the rates in Turkey and from this
research. Keywords:
earthquake insurance, intensity function, epidemic type aftershock sequence
model, damage probability matrix. 第59回
講演者： Prof. 陳 玉英（Chen,
Yuh-Ing） （台湾国立中央大学, 統計研究所・特聘教授） 日 時： 2016年 7月
19日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Statistical evaluation of short-term
hazard of earthquakes after 1999 M 7.3 Chi-Chi shock in Taiwan Abstract： The temporal-spatial
hazard of the earthquakes in a continental region of Taiwan after the 1999
September 21 MW =7.7 Chi-Chi shock is investigated. The Reasenberg-Jones
(RJ) model (Reasenberg and Jones, 1989) that
combines the frequency-magnitude distribution (Gutenberg and Richter, 1944)
and time-decaying occurrence rate (Utsu et al.,
1995) is conventionally employed for assessing the earthquake hazard after a
large shock (Wiemer, 2000). However, it is found that the b values in the
frequency-magnitude distribution of the earthquakes in the studyregion dramatically decreased from background values
after the Chi-Chi shock, and then gradually increased up. The observation of
a time-dependent distribution of magnitude motivated us to propose a modified
RJ model (MRJ) to assess the earthquake hazard (Chen et al. 2015). To
incorporate the possible impact of previous large earthquakes on thefollowing ones, a simplified epidemic-type aftershock
sequence (ETAS) model (Ogata, 1988, Ogata and Zhunag,
2006) is further considered. A modified ETAS (METAS) model that combines the
simplified ETAS model and the time-dependent distribution of magnitude is
then suggested for the hazard evaluation. The MRJ and METAS models are
further separately used to make one-day forecast of large earthquakes in the
study region. To depict the potential rupture area for future large
earthquakes, we also develop the space-time MRJ and METAS models and
construct the corresponding relative hazard (RH) maps. The Receiver Operating
Characteristics (ROC) curves (Swets, 1988) demonstrate that the RH map based
on the MRJ model is as good as the one based on the METAS model for exploring
the spatial hazard of earthquakes in a short time after the Chi-Chi shock. 第58回 講演者： Dr. Zhuang, Jiancang
(庄 建倉) （統計数理研究所
モデリング研究系・准教授） 日 時： 2016年 6月
29日(水) 16:00 -16:40 場 所： 統計数理研究所 D313・D314セミナー室5
統計数理研究所・統計数理セミナー平成２８年度 (2016年度) Title： 欠測のあるマーク付き点過程時系列データの補充法(Replenishing
missing data in the observation record of mark point processes) Abstract： This
presentation illustrates a fast approach for replenishing missing data in the
record of a temporal point process with time independent marks. The basis of
this method is that, if such a point process is completely observed, it can
be transformed into a homogeneous Poisson process by using a biscale empirical transformation. This approach includes
three key steps: (1) Obtain the transformed process by using the empirical
transformation and find a time-mark range that likely contains missing
events; (2) Estimate a new empirical distribution function based on the data
in the time-mark range inside which the events are supposed to be completely
observed; (3) Generate events in the missing region. This method is tested on
a synthetic dataset and applied to the data missing problem in the JMA record
of the Kumamoto aftershock sequence, occurring from 2016-4-15 in Japan. The
influence of missing data on the MLE of the ETAS parameters is studied by
comparing the analysis results on the original and replenished datasets. The
results show that the MLEs of the ETAS parameters vary when the ETAS model is
fitted to the recorded catalog with different cut-off magnitudes, while when
the replenished dataset is used the MLE of the ETAS parameters keep stable. 第57回 講演者： Dr. Shcherbakov, Robert （Department
of Earth Sciences, Western University(Ontario), Canada ・ Associate Professor 日 時： 2016年 6月
22日(水) 16:40 -17:20 場 所： 統計数理研究所 D313・D314セミナー室5
統計数理研究所・統計数理セミナー平成２８年度 (2016年度) Title： Statistics and Physics of Aftershocks Abstract： Aftershocks
are ubiquitous in nature. They are the manifestation of relaxation phenomena
observed in various physical systems. In the studies of seismicity,
aftershock sequences are observed after moderate to large main shocks.
Empirical observations reveal that aftershocks obey power-law scaling with
respect to their energies (seismic moments) which in magnitude domain can be
modelled by the Gutenberg-Richter law. The decay rate of aftershocks above a
certain magnitude is typically inversely proportional to the time since the
main shock and is approximated by the modified Omori law. The largest
aftershocks in a sequence constitute significant hazard and can inflict
additional damage to infrastructure that is already affected by the main
shock. Therefore, the estimation of the magnitude of a possible largest
aftershock in a sequence is of high importance. In this presentation, a
Bayesian predictive distribution and the corresponding confidence intervals
for the magnitude of the largest expected aftershock in a sequence are
derived using the framework of Bayesian analysis and extreme value
statistics. The analysis is applied to several well-known aftershock
sequences world-wide to construct retrospectively the confidence intervals
for the magnitude of the subsequent largest aftershock by using the
statistics of early aftershocks in the sequences. In order to infer the
physical mechanisms of triggering and time delays responsible for the
occurrence of aftershocks, a nonlinear viscoelastic slider-block model is
considered. It is shown that nonlinear viscoelasticity plays a critical role
in the triggering of aftershocks. The model reproduces several empirical laws
describing the statistics of aftershocks, which are observed in the studies
of systems with relaxation dynamics, specifically, for earthquakes. 第56回 講演者： Dr. Strader, Anne （GFZ
German Research Centre for Geosciences, Germany ・ 特別研究員） 日 時： 2016年 6月
7日(火)
16:00 -17:00 場 所： 統計数理研究所 A508セミナー室6 Title： Evaluation of Current CSEP Testing
Methods: Case Studies for Japan and California Abstract： The Collaboratory
for the Study of Earthquake Predictability (CSEP) was developed to rigorously
test earthquake forecasts retrospectively and prospectively through
reproducible, completely transparent experiments within a controlled
environment (Zechar et al., 2010).
Forecasts are individually evaluated using a set of likelihood-based
consistency tests, which measure the consistency between the number, spatial
and magnitude distribution of the observed and forecasted seismicity during
the testing period (Schorlemmer et al., 2007; Zechar et al., 2010).
Additionally, the classical paired t-test and non-parametric w-test are used
to directly compare two forecasts' performances at target earthquake
locations. These tests rely on a hypothesis testing framework, resulting in a
final decision (to reject or not reject a forecast), rather than quantifying
the model's lack-of-fit or localized performance. Residual methods are
employed by the CSEP to discern spatial variation in model performance
compared to the observed seismicity distribution and other models, but are
not currently incorporated into decision-making processes. To illustrate what
can be learned from commonly utilized current CSEP tests, we present two case
studies. The first is a retrospective evaluation of a rate-and-state forecast
for the Japan CSEP testing classes, where spatiotemporal seismicity rate
fluctuations are inverted for Coulomb stress changes. Although the model
underestimates the number of earthquakes following the M9.0 Tohoku mainshock,
it displays positive information gain over baseline ETAS seismicity rates
(Ogata, 2011) within the rupture region. The second forecasting experiment is
a continued prospective evaluation of the time-independent California
earthquake forecasts tested in the Regional Earthquake Likelihood Model
(RELM) experiment, from 2011-2016. Additionally, we test two models developed
by the United States Geological Survey (USGS): the time-dependent Uniform
California Earthquake Rupture Forecast (UCERF2) and time-independent National
Seismic Hazard Mapping Project (NSHMP) models. To reduce bias from expert-based
decision making utilized in current testing methods, we introduce the
framework of a Dynamic Risk Quantification (DRQ) platform, that will be
developed to combine and optimize ensemble forecasts and hazard models using
a data-driven approach, and updated as new data become available. 第55回
-1 講演者： Dr. 郭 一村（Guo, Yicun） （北京大学 地球宇宙科学研究科
・ 博士後期課程）
日 時： 2016年 3月
22日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Iterative finiteETAS
model and some results of the histETAS model of the
North China Craton Abstract： We
introduce a iterative algorithm to refine the finite sources of main shocks
in the finite ETAS model, in which the weight of triggering ability for each subfault is its productivity divided by the whole
productivity of the main shock. Also we apply histETAS
model to North China Craton. It turns out that the b value and background
seismicity patterns coincide with the static coulomb stress change induced by
historical big earthquakes, and p value variation in space is in agreement
with velocity structure of the lithosphere under major fault zones. Therefore
we infer the statistical characteristics of seismicity reflect the properties
of medium to some extent, and make some discussion of future earthquake
hazard. -2
講演者： 尾形 良彦 （統計数理研究所 ・
名誉教授／東京大学地震研究所
地震火山情報センター ・特任研究員） 日 時： 2016年 3月
22日(火) 17:00 -18:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： 3D spatial models for seismicity beneath
Kanto region Abstract： Development
of point-process models for the seismicity in 3D space (longitude, latitude
and depth) beneath Kanto area down to 100km depth is more required than for
seismicity in the rest of the world. This is because the three tectonic
plates meet beneath Kanto plain; and interactions among the interplate and intraplate earthquakes are too complex to
make detailed analysis and forecasts in 2D space that ignores the depths. We
consider the 3D hierarchical space-time ETAS (epidemic-type aftershock
sequence) model. Among the characterizing parameters, the background
seismicity rate \mu and aftershock productivity K are highly sensitive to the
locations, so that these parameters should be location-dependent.
Furthermore, the impact of the 2011 Tohoku-Oki earthquake of M9.0 to the
seismicity beneath the Kanto region has been so large that we need a
space-time function for representing the amount of the induced seismicity
beneath Kanto by this giant earthquake. Specifically, we adopt the Omori-Utsu function as the effect of induced earthquakes,
started after the occurrence time of the Tohoku-Oki earthquake, where we
assume that the aftershock productivity parameter KM9 of the Omori-Utsu function is also location-dependent. For forecasting
future large earthquakes, we further need to estimate the location-dependent
b-value of the Gutenberg-Richter law. The
spatial variations of the characteristic parameters \mu(x,y,z),
K(x,y,z) , KM9(x,y,z) and
b(x,y,z) of our model are inverted to visualize the
regional changes of the seismic activity. For this objective, we make 3D
Delaunay tessellation of the Kanto volume, where every earthquake belongs to
vertices of a tetrahedron. Each of the above mentioned parameter function is
a 3-dimensional piecewise linear function defined by the values at the four
Delaunay tetrahedral vertices. The
estimates of the focal parameter functions are obtained by an optimal
trade-off between the goodness of fit to the earthquake data and the
smoothness constraints (or roughness penalties) of the variations of
parameter values. Strengths of the constraints of or the penalties to
respective parameter functions can be simultaneously adjusted from the data
by means of an empirical Bayesian method using the Akaike’s Bayesian
information criterion (ABIC). Key
words: ABIC, aftershock productivity, background seismicity rate, b-values,
Delaunay function, Delaunay tessellation, empirical Bayesian method, Omori-Utsu function for induced seismicity, penalized
log-likelihood. 第54回
講演者： Dr. 王 婷（Wang, Ting） （Department
of Mathematics and Statistics, University of Otago, New Zealand ・Lecturer）
日 時： 2016年 2月
9日(火)
16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Identification of seismic phases using
Markov-modulated marked Hawkes processes Abstract： Based
on a temporal Markov-modulated Hawkes process that we developed earlier to
investigate long-term patterns of seismic activity with multiple mainshocks,
we made extensions to this temporal model to include spatial variation of the
seismic activity and the earthquake magnitudes. Our aim is to categorize
spatiotemporal seismic hazards holistically, using the entire earthquake
record in a selected region to identify patterns correlated with subsequent
large earthquakes, rather than the traditional way of selecting individual
foreshock-mainshock or mainshock-aftershock sequences. I will use several
case studies to illustrate how this model works and discuss about the
problems that we had with the model fitting. 第53回
-1 講演者： Dr. 尹 凤玲（Yin, Fengling） （中国地震局 地球物理研究所・助理研究員(助教相当)） 日 時： 2016年 1月
27日(水) 13:30 -14:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Coulomb stress evolution along the
middle segment of Redriver fault zone over the past
180 Years due to coseismic, postseismic
and interseismic deformation （Yin,Fengling, Jiang,
Changsheng and Han, Libo） Abstract： The Redriver fault zone, for it being as the boundary of
Sichuan-Yunnan rhombic block and southeastern margin of the Tibetan plateau,
and near the Central Yunnan city group, its seismic activity deserves
attention. The Redriver fault zone within Yunnan
has experienced at least 9 earthquakes of M≥6 in recent 180 years. Using
stratified viscoelastic lithospheric model, we calculate the coulomb failure
stress evolution along the redriver fault zone over
the past 180 years due to coseismic, postseismic and interseismic
deformation. By analyzing 25 earthquakes occurred along the Redriver fault zone and ajacent
faults, we find that the middle segment of Redriver
fault zone remains low seismic activity in recent two hundred years. This is
consistent with the observed ‘seismic gap’ as earthquake catalog shows.
Assuming there is no earthquake within about 30 years around the Redriver fault zone, this ’seismic gap’ may remain due to
postseismic and interseismic
deformation. -2
講演者： Dr. Taroni, Matteo （Istituto Nazionale
di Geofisica e Vulcanologia,
Rome, Italy ・
Post-doctoral fellow） 日 時： 2016年 1月
27日(水) 14:30 -15:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Some recent techniques to improve
earthquake forecasting (Taroni, Matteo, Marzocchi,
Warner, Zechar, Jeremy and Werner, Maximilian) Abstract： In
this presentation I will show some recent results regarding the earthquake
forecasting techniques. In particular I will show: i) How
to consider aftershocks and foreshocks in the seismic hazard computation,
with an application to the Italian case. ii)
How to merge different catalogues to obtain a better estimation of the
Tapered Gutenberg-Richter distribution parameters, with an application to the
global and Italian case. iii)
How to create an ensemble model to improve the performance of the short-term
earthquake forecasting models, with an application to the New Zealand case. 第52回 講演者： Dr. Guillas, Serge （Department of Statistical Science,
University College London, U.K. ・
Reader／東京大学地震研究所・特任准教授） 日 時： 2015年 11月
17日(火) 16:00 -17:00 場 所： 統計数理研究所 A508セミナー室6 Title： Dimension reduction for the
quantification of uncertainties in tsunami and climate models Abstract： VOLNA,
a nonlinear shallow water equations solver, produces high resolution
simulations of earthquake-generated tsunamis. However, the uncertainties in
the bathymetry (from irregularly-spaced observations) have an impact on
tsunami waves. We first employ a stochastic partial differential equation
(SPDE) approach to quantify uncertainties in these boundary fields. These
uncertainties are then parametrized to be used as inputs of an emulator of
VOLNA. However, the dimension of these boundary fields is large and must be
reduced. We apply the gradient-based kernel dimension reduction approach (gKDR) by Fukumizu and Leng
(2014) and construct an Gaussian Process emulator on this reduced input
space. We propagate uncertainties in the bathymetry to obtain an improved
probabilistic assessment of tsunami hazard. In a
separate climate application, we employ the Bayesian calibration of complex
computer models using Gaussian Processes, introduced by Kennedy and O'Hagan
(2001), that has proven to be effective in a wide range of applications.
However, the size of the outputs, such as climate models' spherical outputs,
leads to computational challenges in implementing this framework. Covariance
models for data distributed on the sphere also present additional challenges
compared to covariance models for data distributed over an Euclidean space.
To overcome these various challenges, we make use of the spherical harmonics
(SHs) decomposition of the computer model output, and then apply a Gaussian
process assumption to the coefficients in the decomposition. Furthermore,
using the SPDE approach, we can capture non-stationarity in the spatial
process. Hence, we generalize further the spherical correlation framework by
expanding the SPDE parameters used to quantify the nonstationary behavior in
the functional space spanned by the SHs. We illustrate our findings on
several synthetic examples. In particular, our method can outperform the
calibration based on principal components. Finally we show that our technique
has the potential to calibrate the Whole Atmosphere Community Climate Model
(WACCM). 第51回
-1 講演者： Dr. Gerstenberger, Matthew （GNS Science, New Zealand ・Risk and Engineering Team Leader,
Senior Seismologist） 日 時： 2015年 9月
1日(火)
16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： The New Zealand National Seismic
Hazard Model: Rethinking PSHA Abstract： We
are currently revising the New Zealand National Seismic Hazard Model. In this
revision we are exploring some of the fundamental assumptions of the model
and investigating how uncertainties in earthquake source and ground motion
estimation propagate through to the end uses of the model. Uncertainties
related to the source modelling that come from a paucity of data and from
different methods that can be used to model the seismic sources are currently
not fully quantified in the way we model seismic hazard. Additionally,
seismic sources are generally assumed to be a stationary Poisson process and
earthquake clustering is ignored. Including these uncertainties in the way
risk is modelled based on the outputs of the National Seismic Hazard Model
will likely lead to more robust estimates of risk for use by industry and in
the development of design standards. Notice:
This email and any attachments are confidential. If received in error please
destroy and immediately notify us. Do not copy or disclose the contents. -2
講演者： Dr. 陳 石（Chen, Shi） （中国地震局地球物理研究所・准教授） 日 時： 2015年 9月
1日(火)
17:00 -18:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： A study on the regional gravity
changes before large earthquakes from the statistical perspectives Abstract： The
repeated gravity surveys, also called mobile gravity measurements, have been
carried out for decades in the Chinese mainland. Significant gravity changes
have been detected before some cases of great earthquakes, such as the 1976
Tangshan Ms7.8 Earthquake, 2008 Wenchuan Ms8.0 earthquake, etc. The main aim
of the repeated gravity surveys is to monitor the geophysical field
variations in some major seismic hazard zones. By this sort of in-situ
gravimetric network, the yearly changes of regional gravity can be obtained.
Through the Molchan Error Diagram tests, we found that observed gravity
changes are statistically correlated to the occurrence of future large
earthquakes, i.e., the gravity changes are more powerful than a seismicity
rate model in forecasting large earthquakes. These results imply that gravity
changes before earthquake include precursory information of future large
earthquakes. Key
words: Gravity changes, Earthquake prediction, Molchan error diagram,
Repeated gravity measurement, Chinese mainland. 第50回
講演者： Dr. Kagan, Yan Y. （Department
of Earth and Space Sciences, University of California, Los Angeles (UCLA),
U.S.A. ・
Researcher） 日 時： 2015年 8月
4日(火)
16:00 -18:00 場 所： 統計数理研究所 D208会議室2 Title： Statistics of earthquake focal
mechanisms Abstract： I. Double-couple
earthquake source: symmetry and rotation We
analyze earthquake focal mechanisms and their forecast both analytically and
statistically. This problem is complex because source mechanisms are
tensor-valued variables, thus their analysis requires applying sophisticated
mathematical and statistical tools, many of which are not yet fully
developed. We describe general and statistical properties of the seismic
moment tensor, in particular, its most important form -- the double-couple
(DC) mechanism. We establish a method for the analysis of a DC source, based
on the quaternion technique, and then apply quaternions for the statistical
analysis of earthquake catalogs. The important property of the focal
mechanism is its symmetry. We describe the classification of the mechanism
symmetry and the dependence of the DC orientation on its symmetry. Four
rotations exist in a general case of a DC with the nodal-plane ambiguity,
there are two transformations if the fault plane is known, and there is one
rotation if the sides of the fault plane are known. A statistical analysis of
symmetrical objects has long been the subject of crystallographic texture
investigations. We describe the application of crystallographic methods to
focal mechanism analysis and consider theoretical statistical distributions
appropriate for the DC orientation approximation. Uniform random rotation
distributions for various DC sources are discussed, as well as two
non-uniform distributions: the rotational Cauchy and von Mises-Fisher. We discuss
how the parameters of these rotations can be estimated by a statistical
analysis of earthquake source properties in global seismicity using the GCMT
catalog. We also show how earthquake focal mechanism orientations can be
displayed on the Rodrigues vector space. II.
Statistical earthquake focal mechanism forecasts In
the focal mechanism forecast, the sum of normalized seismic moment tensors
within a 1000 km radius is calculated and the P- and T-axes for the predicted
focal mechanism are evaluated on the basis of the sum (Kagan and Jackson
1994, JGR). Simultaneously we calculate an average rotation angle between the
forecasted mechanism and all the surrounding mechanisms. This average angle
shows tectonic complexity of a region and indicates the accuracy of the
prediction. Recent interest by CSEP and GEM has motivated some improvements,
particularly a desire to extend the previous forecast to polar and near-polar
regions. The major problem in extending the forecast is the focal mechanism
calculation on a spherical surface. In a modified program focal mechanisms
have been projected on a plane tangent to a sphere at a forecast point. A
comparison with the old 75S-75N forecast shows that in equatorial regions the
forecasted focal mechanisms are almost the same, and the difference in the
forecasted focal mechanisms rotation angle is close to zero. However, closer
to the 75 latitude degree the difference in the rotation angle is large
(around a factor 1.5 in some places). The Gamma-index was calculated for the
average focal mechanism moment. A non-zero Index indicates that earthquake
focal mechanisms around the forecast point have different orientations. Thus
deformation complexity displays itself both in the average rotation angle and
in the Index. However, sometimes the rotation angle is close to zero, whereas
the Index is large, testifying to a large CLVD presence. Both new 0.5x0.5 and
0.1x0.1 degree forecasts are posted at
http://eq.ess.ucla.edu/~kagan/glob_gcmt_index.html III.
Evaluating focal mechanisms forecast skill We
discuss the ways to test the focal mechanism forecast efficiency. We start
with several verification methods, first based on ad-hoc, empirical
assumptions. However their performance is questionable. In the new work we
apply a conventional likelihood method to measure the skill of a forecast.
The advantage of such an approach is that an earthquake rate prediction can
be adequately combined with a focal mechanism forecast, if both are based on
the likelihood scores. This results in a general forecast optimization. To
calculate the likelihood score we need to compare actual forecasts or
occurrences of predicted events with the null hypothesis that the mechanism's
3-D orientation is random. To better understand the resulting complexities we
calculate the information (likelihood) score for two rotational distributions
(Cauchy and von Mises-Fisher), which are used to approximate earthquake
source orientation patterns. We then calculate the likelihood score for
earthquake source forecasts and for their validation by future seismicity
data. Several issues need to be explored when analyzing observational
results: their dependence on the forecast and data resolution, internal
dependence of scores on the forecasted angle, and random variability of likelihood
scores. We propose a preliminary solution to these complex problems, as these
issues need to be explored by a more extensive theoretical and statistical
analysis. IV.
Future focal mechanisms studies 1.
Statistical earthquake focal mechanism forecasts, rigorous likelihood methods for
evaluating forecast skill. 2.
Likelihood analysis of GCMT catalog, including focal mechanisms. 3.
Focal mechanism clustering. 4.
Collapsing focal mechanism patterns. 5.
Influence of Earth surface on focal
mechanisms interaction (Morawiec,Ch8). 6.
Integrating Cauchy distribution on Rodrigues space, Morawiec, pp.116-119. 7.
Calculating Cauchy and von Mises-Fisher distributions for 120 degrees
rotation limit. 8.
Investigating the sign-change symmetry of a DC earthquake source. 9.
Studies of statistics of earthquake focal mechanisms in the Rodrigues space. 10.
Rotation-translation distribution of double-couples as different from
arbitrary symmetric deviatoric second-rank tensor. 第49回
講演者： Prof. Künsch, Hans R. （Department of Mathematics, ETH Zurich,
Switzerland ・
Emeritus Professor） 日 時： 2015年 4月
7日(火)
16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Data assimilation in seismology ? Abstract： The accuracy
of weather forecasts has increased substantially over the past decades. This
is due to at least three factors: The increase in computing power which
allows a higher accuracy in solving the equations of the underlying physical
model, a denser set of observations of the state of the atmosphere and better
methods for data assimilation, that is the use of these observations to
adjust the initial conditions of the model sequentially. In order to
represent the uncertainty in assimilation and forecasting, ensembles are used
whose members represent different states of the atmosphere that are
compatible with the observations and the physical dynamics. Such ensemble
methods should be viewed as Monte Carlo methods which provide the link to
statistics. Recently
there has been interest in using these data assimilation tools also in
seismology in order to improve forecasts and quantify their uncertainty. In
this talk I will discuss some of the attempts in this direction. Time
permitting, I will also present some new ideas for ensemble data
assimilation. 第48回 講演者： 石辺 岳男 （東京大学地震研究所 地震火山情報センター ・特任研究員）
日 時： 2015年 2月
24日(火) 16:00 -17:00 場 所： 統計数理研究所 A508セミナー室6 Title： Overview of Seismicity Changes in
Inland Japan after the 2011 Tohoku-Oki Earthquake and Its Interpretation Abstract： In
this presentation, I overview the widespread changes in seismicity rate and distribution
of focal mechanism after the Tohoku-Oki earthquake (Mw9.0) and summarize the
possible contributing factors. In Tohoku, westward from the Tohoku-Oki
source, significant increases in seismicity rate were observed in N. and S.
Akita, SW off Oga peninsula, and Yamagata/Fukushima and Ibaraki/Fukushima
boundary regions as well as other surrounding areas. On the other hand,
aftershock activities in the source regions of recent large earthquakes such
as the 2008 Iwate-Miyagi earthquake have been suppressed. In Kanto, southwest
of the Tohoku-Oki source, interplate earthquakes
were typically activated, while belt-like seismicity along the western edge
of slab-slab contact zone and shallow earthquakes in some areas were also
activated. The
most plausible factor is the static changes in the Coulomb stress, which
seems to be valid for retrospectively forecasting the changes in seismicity
on some level, while some activated seismicity showed clear counter-evidence.
Remotely triggered local events, whose origin times are well coincided with
the arrivals of mainshock seismic waves, suggest that dynamic stress changes
also contribute. Some swarm-like activities, showing temporal expansion of
the focal area which is attributed to fluid diffusion, suggest that changes
in pore fluid pressure should be another possible factor. The contribution of
indirectly triggered earthquakes might be important in some regions because
stress changes imparted by neighboring indirect aftershocks could be
comparable with those from a distant mainshock. Postseisimc
slip and viscoelastic effect would play an important role for long-term
hazard assessments. 第47回
講演者： Dr. Segou, Margaret （National
observatory of Athens, Greece ・ Researcher）
日 時： 2015年 2月
10日(火) 16:00 -17:00 場 所： 統計数理研究所 4階ラウンジ Title： The Future of Earthquake
Predictability Abstract： The
last decade dense seismological networks around the world provide the
opportunity to study more aftershock sequences in seismically active areas
across the world such as California (San Andreas Fault), Japan, New Zealand
(Canterbury Fault, Christchurch) and continental rift systems (Corinth Gulf,
Greece). The importance behind that is evident; the 2008 M7.9 Sichuan event
continues having catastrophic aftershocks (2013 Lushan M6.6) after five
years. The above provide the necessary motivation for geophysicists to
develop short and long-term earthquake forecasts for providing to scientists
and the public authoritative information on seismic hazard and answer ultimately
the question When the next big earthquake will occur. Static and dynamic
triggering are often described as the two primary mechanisms for earthquake
clustering in time and space. Recent studies have provided evidence that
physics-based earthquake forecast models, combining fault aging laws and the
static stress triggering hypothesis, can accurately predict (80%) transient
seismicity rates. Static triggering plays an important role in spatial
clustering at distances 2-3 rupture lengths away from the seismic source
whereas dynamic triggering studies usually focus on larger distances
(>1000 km). But how dependent are our calculations on our incomplete
knowledge of the ambient stress of a region? What are the implications behind
the time dependent fault behavior? The last two questions are the key for
reducing the uncertainties of physical forecast models. Quite often the
development of such quantitative and testable models is followed by extensive
statistical performance evaluation, which is critical for understanding their
merits and pitfalls. In
this seminar I focus on recent development on physics-based earthquake models
using worldwide examples and how they compare with statistical models.
Furthermore, I discuss how we can reduce their uncertainties and sketch the
future of our scientific predictability. Is it possible to hope on higher
information gains in the near future? and, How these forecast models could be
most effective in Japan? 第46回
-1 講演者： 熊澤 貴雄 （統計数理研究所 リスク解析戦略研究センター 地震予測解析プロジェクト
・特任研究員） 日 時： 2015年 1月
27日(火) 15:00 -16:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Predicting Offshore Swarm Rate by
Volumetric Strain Changes in Izu Peninsula, Japan Abstract： The eastern
offshore of Izu peninsula is one of the well known
volcanic active regions in Japan, where magma intrusions have been observed
several times since 1980s monitored by strain-meters located nearby. Major
swarm activities have been synchronously associated with coseismic
and preseismic significant sizes of volumetric
strain changes (Earthquake Research Committee, 2010). We investigated the background
seismicity changes during these earthquake swarms using the nonstationary
ETAS model (Kumazawa and Ogata, 2013, 2014), and
have found the followings. The volumetric strain change data, modified by
removing the effect of earth tides and precipitation as well as removing coseismic jumps, have much higher cross-correlations to
the background rates of the ETAS model than to the whole seismicity rate
change of the ETAS. Furthermore the strain changes precede the background
seismicity by lag of about half a day. This relation suggests an enhanced
prediction of earthquakes in this region using volumetric strain measurements.
Thus we propose an extended ETAS model where the background seismicity rate
is predicted by the time series of preceding volumetric strain changes. Our
numerical results for Izu region show consistent outcomes throughout the
major swarms. -2
講演者： Dr. 王 婷（Wang, Ting） （Department
of Mathematics and Statistics, University of Otago, New Zealand ・ Lecturer） 日 時： 2015年 1月
27日(火) 16:30 -17:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Marked point process modeling with missing
data in volcanic eruption records Abstract： Despite
ongoing efforts to compile new data, eruption records, particularly those of
earlier time periods, are pervasively incomplete. The probability of missing
an ancient eruption is much higher than a recent eruption. We consider
modeling both the times and sizes of the eruptions using a marked point
process. We propose to model the marks (the sizes of the events) as having a
time-varying distribution which takes the higher proportion of missing smaller
events in earlier records into consideration. We then estimate the proportion
of detected events over time based on the assumption that the most recent
record is complete and that the record of eruptions with the largest size in
the considered catalog is complete. With this information, we can then
estimate the true intensity of volcanic eruptions. 第45回
講演者： Dr. Schehr, Grégory （Laboratoire de Physique Théorique et Modèles Statistiques, Orsay-University Paris-Sud, France ・ 日 時： 2014年 10月
14日(火) 11:00 -12:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Exact Statistics of the Gap and Time
Interval Between the First Two Maxima of Random Walks and Lévy Flights Abstract： (PDF) 第44回
-1 講演者： Prof. 周 仕勇
(Zhou, Shiyong) （北京大学
地球空間科学学院 ・教授）
日 時： 2014年 8月
5日(火)
16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Seismicity simulation in Western Sichuan
of China based on the fault interactions and its implication on the
estimation of the regional earthquake risk Abstract： Seismicity
over 10000 years in Western Sichuan of China has been simulated based on the
mechanical synthetic seismicity model we developed. According to the analysis
of the simulated synthetic seismic catalogue , the occurrence of strong
earthquakes with Ms ≥710 in the whole region of
Western Sichuan is rather random , very close to the Poisson process with
seismic rate 010454Pyear , which means it is reasonable to estimate the
regional earthquake risk with Poisson model in Western Sichuan. However, the
occurrence of strong earthquakes with Ms ≥710 on
the individual faults of Western Sichuan is far from Poisson process
and could be predicted with a time2dependent prediction model. The fault
interaction matrices and earthquake transfer possibility matrices among the
faults in Western Sichuan have been calculated based on the analysis of the
simulated synthetic catalogues. We have also calculated the static change in
Coulomb failure stress (CFS) on one fault induced by a strong earthquake on
another fault in Western Sichuan to discuss the physical implications of the
earthquake transfer possibility matrices inferred from the synthetic
catalogue. Keywords:
Simulation of earthquake generation , Poisson model , Coulomb stress ,
Seismic hazard -2
講演者： Dr. 王 墩 (Wang, Dun) （東京大学地震研究所／日本学術振興会 ・ 特別研究員）
日 時： 2014年 8月
5日(火)
17:00 -18:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Rupture speeds for recent large
earthquakes Abstract： Studying
the rupture speeds of earthquakes is of broad interesting for earthquake
research because it has a large effect on the strong near-field shaking that
causes damage during earthquakes. Also rupture speed is a key observation for
understanding the controlling stresses and friction during an earthquake, yet
the speed and its variations are usually difficult to determine. Using only
far-field seismic waveforms, which is the only data available for many large
earthquakes, there are problems for estimating the rupture speed with
standard waveform inversions, due to trade-off between the rupture speed and
the slip location. Here
we applied a back projection method to estimate the rupture speeds of Mw ≥
7.5 strike-slip earthquakes since 2001 which could be analyzed using Hi-net
in Japan. We found that all events had very fast average rupture speeds of
3.0-6.0 km/s, which are near or greater than the local shear wave velocity (supershear). These values are faster than for thrust and
normal faulting earthquakes that generally rupture with speeds of 1.0-3.0
km/s. Considering the depth-dependent shear-wave velocity, the average
propagation speeds for all of the strike-slip events are closer to or greater
than the shear wave velocity. For large strike-slip events, transition from subshear to supershear usually
occurs within distances of 15 to 30 km from the initiation, which is probably
the reason for the scarcity of observed supershear
earthquakes for smaller magnitudes. Earthquakes
with supershear ruptures can cause more damage than
events with subshear ruptures because of the
concentration of energy in the forward direction of the rupture. Numerical
modeling shows strong focusing and other effects of energy at the rupture
front which can intensify the ground motions. A recent example is the April
13, 2010 Qinghai, China earthquake (Mw 6.9), where a moderate-size event
caused extensive damage in the Yushu region at the southeastern end of the
fault. Careful evaluation of long and straight strike-slip faults should be
emphasized for predicting strong ground motions due to supershear
rupture. 第43回
講演者： Dr. Aiken, Chastity （Georgia
Institute of Technology, U.S.A. ・ National Science
Foundation Graduate Fellow, ARCS Scholar）
日 時： 2014年 7月
8日(火)
16:00 -18:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Triggered Seismic Activity in
Geothermal Regions and on Strike-Slip Faults Abstract： Dynamic
stresses caused by large earthquakes are capable of triggering a wide range
of seismic/aseismic responses at remote distances. These responses include
instantaneously triggered microearthquakes, deep tectonic tremor, earthquake
swarms, slow-slip events, and near-surface icequakes. Systematic studies of these triggered
phenomena not only help us to understand how large earthquakes affect
seismic/aseismic processes at remote distances but also help improve our understanding
of the necessary physical conditions responsible for the generation of
seismic activity. In this talk I
present two recent studies: (1) a
comparison of triggered microearthquakes in three geothermal regions of
California and (2) a comparison of triggered tremor on four strike-slip faults
in the Western Hemisphere.
Triggered seismic activity is characterized as being triggered by the
surface waves of large, distant earthquakes. Triggered earthquakes in geothermal
regions are generally small magnitude (M<4) and have distinct P and S waves,
whereas triggered tremor is a low-amplitude, emergent signal with no distinct
P wave. After identifying the
large earthquakes that trigger seismic activity, we analyze and compare the
peak ground velocities, seismic wave incidence angles, amplitude spectra of
all distant earthquakes we examined, as well as the background activity in
each region to determine the factors that promote triggering in geothermal
regions and on strike-slip faults. 第42回
講演者： Dr. Aranha, Claus （筑波大学大学院システム情報工学研究科 ・ 助教）
日 時： 2014年 5月
27日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Using Evolutionary Algorithms to
optimize earthquake risk models: Early Ideas Abstract： Evolutionary
Algorithms are a class of meta-heuristics that use genetic principles to
sample good solutions from a search space. They have shown great promise in a
wide variety of optimization problems, specially in
problem domains where the search space is multi modal and/or non-continuous.
However, evolutionary algorithms have not yet seen a lot of use in the
optimization of statistical models for earthquake forecasting. Our goal is to
explore this combination. In
this talk, we will (briefly) explain what evolutionary algorithms are, and
then proceed to outline our early proposals and results regarding their use
for the generation of an RELM based earthquake forecast model. 第41回 -1 講演者： Dr. 王 敏真（Wang, Min-Zhen） （統計数理研究所 リスク解析戦略研究センター
・ 特任研究員） 日 時： 2014年 3月
4日(火)
15:00 -16:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Distributions on Torus, Cylinder and
Disc （Wang, Min-Zhen and Shimizu, Kunio） Abstract： Statistics
for data which include angular observations is known as directional
statistics. Bivariate circular data such as wind directions measured at two
points in time are modeled by using bivariate circular distributions or
distributions on the torus. Likewise circular-linear data are modeled by
using distributions on the cylinder and disc. We propose some extensions of
distributions on the torus, cylinder and disc in the framework of directional
statistics. A new
circular distribution (Wang and Shimizu, 2012) is also introduced, which is
obtained by applying the Mӧbius
transformation to a univariate cardioid random variable. The distribution
function, trigonometric moments, and conditions for unimodality and symmetry
are studied. Kato and Jones (2010) study a family of distributions which is
obtained by applying the Mӧbius
transformation to a von Mises random variable, and we discuss the
relationship between our model and the Kato--Jones model. The bivariate
circular case (Wang and Shimizu, 2012) which is generated from a
circular-circular structural model linked with Mӧbius
transformation or a method of trivariate reduction.
The joint probability density function, trigonometric moments and
circular-circular correlation coefficient are explicitly expressed. An
illustration is given for wind direction data at 6 a.m. and noon as an
application of the bivariate cardioid distribution. The distributions on the
cylinder we proposed is generated from a combination of von Mises and
transformed Kumaraswamy distributions. It is an extension of the Johnson and
Wehrly (1978) model. The marginal and conditional
distributions of the proposed distribution are given. A distribution using
the method of generating a cylindrical distribution with specified marginals
is also proposed. We generate skew or asymmetric distributions on the disc by
using the Mӧbius
transformation and modified Mӧbius
transformations as extensions of the Mӧbius
distribution proposed by Jones (2004). The new distributions called the
modified Mӧbius
distributions have six parameters. They can be reduced to the Mӧbius and
uniform distributions as special cases, but many members of the family are
skew distributions for both the linear and the angular random variables. Some
properties such as the joint probability and marginal density functions of
the proposed distributions are obtained. References:
[1] Johnson, R.
A. and Wehrly, T. E. (1978). Some angular-linear distributions and related
regression models. Journal of the
American Statistical Association, 73, 602–606. [2]
Jones, M. C. (2004). The Mӧbius
distribution on the disc. Annals of the
Institute of Statistical Mathematics, 56, 733–742. [3] Kato, S. and
Jones, M. C. (2010). A family of distributions on the circle with links to,
and applications arising from, Mӧbius
transformation. Journal of the American
Statistical Association, 105, 249–262. [4]
Wang, M.-Z. and Shimizu, K. (2012). On applying Mӧbius
transformation to cardioid random variables. Statistical Methodology, 9, 604–614. -2 講演者： Dr. Llenos, Andrea L. （US Geological Survey, Earthquake
Science Center ・ Postdoctoral） 日 時： 2014年 3月
4日(火)
16:30 -17:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Statistical modeling and
identification of potentially induced seismicity rate changes Abstract： （TBA） 第40回
-1 講演者： Dr. Varini, Elisa （Institute
of Applied Mathematics and Information Technology, National Research Council
(IMATI-CNR), Italy ・ 日 時： 2014年 2月
18日(火) 15:00 -16:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Bayesian estimation of doubly stochastic
Poisson processes: a particle filtering approach Abstract： （TBA） -2 講演者： Dr. Harte, David （GNS
Science, New Zealand ・ Statistical Seismologist and Hazard Modeller） 日 時： 2014年 2月
18日(火) 16:30 -17:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Stochastic Earthquake Models: Ways to
Improve and Insights into the Physical Process Abstract： 1.
Bayesian estimation of doubly stochastic Poisson processes: a particle
filtering approach We
aim to explore the hypothesis that the earthquakes of a seismic region occur
under different physical conditions, corresponding to as many seismicity
phases characterized by different occurrence rates. This
hypothesis can be modeled by doubly stochastic Poisson processes in which the
observed process of the occurrence times of the earthquakes is a point
process whose conditional intensity function is assumed to be dependent on
both the past history and the current hidden state. By
assuming some of the possible choices for the observed point process and the
hidden state process, a Bayesian analysis is carried out in which the
likelihood function is approximated by the particle filtering method. 2.
Stochastic Earthquake Models: Ways to Improve and Insights into the
Physical Process We
present a version of the ETAS model where the offspring rates vary both
spatially and temporally. This is in response to deficiencies discussed in
[1]. This is achieved by distinguishing between those space-time volumes
where the interpoint space-time distances are small, and those where they are
considerably larger. In the process of modifying a stochastic earthquake
model, one needs to justify assumptions made, and these in turn raise
questions about the nature of the underlying physical process. We will use
this version of the ETAS model as the basis for our discussion, and by focussing on aspects where the model does not perform so
well, attempt to find physical explanations for such lack of fit. Some
possible discussion points are as follows. What
is the nature of the so called background process in the ETAS model? Is it
simply a temporal boundary (t=0) correction or does it represent an
additional tectonic process not described by the aftershock component? Or are
these two alternatives on completely different time scales? An
epidemic (the basic analogy underpinning the ETAS model), or a living
organism, can evolve by reproducing offspring that are slightly different to
that of their parents - randomness or gene mutation. Certain
"modified" individuals will be able to adapt to the environment
better and tend to survive over others. In the ETAS context, a lower value of
$\alpha$ will cause more "generations" in the aftershock sequence.
This allows for a richer and more complex evolution of the process, both
spatially and temporally. Alternatively, if alpha is large, then more of the
aftershocks are direct offspring of the mainshock. In the epidemic context,
this implies that the mainshock contains much more of the "DNA"
which governs the evolution of the overall sequence. What
is the relationship between fractal dimension and clustering? Does the
fractal dimension provide a better discrimination between those space-time
volumes with higher offspring rates and the others? If so, does the fractal
dimension provide a more obvious physical description of the difference
between these high rate volumes and the lower rate volumes, and hence a
suggestive physical explanation? [1]
Harte, D.S. (2013). Bias in Fitting the ETAS Model: A Case Study Based on New
Zealand Seismicity. Geophys. J. Int. 192(1), 390-412. 第39回
-1 講演者： 松浦 充宏 （統計数理研究所 リスク解析戦略研究センター
地震予測解析プロジェクト ・
外来研究員） 日 時： 2014年 1月
14日(火) 13:00 -14:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Inversion of GPS Data using ABIC Abstract： To monitor
crustal movements of the Japanese Islands, a nation-wide dense GPS network
(GEONET) has been operated by Geographical Survey Institute of Japan (now
Geospatial Information Authority of Japan) since 1996. We developed an
inversion method to estimate unbiased interseismic
slip-deficit rates at plate interfaces from GPS displacement rate (velocity)
data with an elastic dislocation model. In this method, first, we subtract
theoretical surface velocities due to known steady relative plate motion from
the observed GPS data, and presume the residuals to be caused by slip deficit
at plate interfaces. However, the observed GPS data always include rigid
block translation and rotation, which cannot be explained by the elastic
dislocation model. We treated the rigid block translation and rotation as
systematic errors in the analysis, and removed them by transforming the
velocity data into the average strain rates of triangle elements composed of
adjacent GPS stations. By this transformation, original information about
intrinsic deformation is preserved. Applying a general inversion formula
using ABIC to the GPS strain data, we can obtain unbiased slip-deficit rate
distribution. We demonstrate the applicability of the GPS strain data
inversion method through the analyses of coseismic
and interseismic GPS data in the Japan region,
where the North American, Pacific, Philippine Sea, and Eurasian plates are
interacting with each other in a complicated way. -2 講演者： Prof. 周 仕勇
(Zhou, Shiyong) （北京大学
地球空間科学学院 ・教授）
日 時： 2014年 1月
14日(火) 14:10 -15:10 場 所： 統計数理研究所 D312Bセミナー室4 Title： Detecting the regional tectonic stress
variations in background seismicity data through statistical earthquake
modeling
（Yajun Peng, Shiyong Zhou, Jiancang Zhuang and
Jia Shi） Abstract： Large
earthquakes could perturb the stress field in regions even thousands of
kilometers away, leading to abrupt changes in background seismicity. We have
developed a probability based approach, based on the epidemic-type aftershock
sequence model and the stochastic declustering
method, to invert the smoothed temporal variation of background seismicity
rate and to extract useful physical signals from complex seismicity patterns.
An iterative algorithm is constructed to estimate the background seismicity
simultaneously by using a combination of maximum likelihood estimate and
weighted variable kernel estimate. We verify this approach through
simulations and confirm that it can sensitively recover the onset of dynamic
triggering. The algorithm is
applied to an earthquake catalog in Yunnan Province, China, and successfully
identifies a rapid increment of background seismicity rate following the
occurrence of the 2004 Sumatra Mw 9.2 earthquake, whereas no remote
triggering effect is detected following the occurrence of the 2005 Sumatra Mw
8.7 earthquake. This phenomenon agrees with GPS observations. It is found
that the elevated seismic activity within 15 d after the Sumatra earthquake
is mostly composed by shallow events, and direct triggering relationship is
well established. We also studied
the possible dynamic triggering effect in Northern China, including Tangshan
area, when the Japan Tohoku Mw 9.0 earthquake happened at March 11th, 2011
and found out whether the area with large co-seismic displacement would have
sudden abnormal seismicity increase. As a result, the Japan Tohoku earthquake
has little effect on the total and background seismicity of Tangshan area,
which means that the seismic structure of Tangshan area is fundamentally stable.
-3 講演者： Dr. 王 婷（Wang, Ting） （University
of Otago, New Zealand ・助教） 日 時： 2014年 1月
14日(火) 15:30 -16:30 場 所： 統計数理研究所 D312Bセミナー室4 Title： Estimating the likelihood of volcanic eruptions
with incomplete eruption record Abstract： （TBA） -4 講演者： 尾形 良彦 （統計数理研究所 ・
名誉教授／東京大学・客員教授） 日 時： 2014年 1月
14日(火) 16:40 -17:40 場 所： 統計数理研究所 D312Bセミナー室4 Title： Foreshocks and short-term forecasting:
comparisons between in real seismicity and synthetic catalogs
（Yosihiko Ogata and
Koichi Katsura） Abstract： Some
statistical characteristics of foreshocks in the JMA earthquake catalog are
quantitatively different from those in the catalogs simulated by the
space-time epidemic-type aftershock sequence (ETAS) model associated with the
Gutenberg-Richter (GR) law. Also, the information gain of a foreshock
probability forecasting in the real seismicity is significantly large in
comparison with in synthetic catalogs. 第38回
講演者： Prof. 黄 清華（Huang, Qinghua） （北京大学 理論応用地球物理研究所・教授） 日 時： 2013年 11月
12日(火) 16:00 -17:00 場 所： 統計数理研究所 A508セミナー室6 Title： Seismicity changes revealed by the
Region-Time-Length (RTL) algorithm Abstract： The
Region-Time-Length (RTL) algorithm, which takes into account the epicenter,
time, and magnitude of earthquakes, is an effective technique in detecting
seismicity changes, especially the seismic quiescence. Based on the RTL
algorithm and the Q-parameter (an average RTL parameter over a certain time
window), we can quantify the spatio-temporal
characteristics of seismicity changes. In order to reduce the possible
ambiguity due to the selection of model parameters in the RTL algorithm, we
proposed an improved technique of searching for the optimal model parameters.
The applications of the RTL algorithm in various tectonic regions indicated that
seismic quiescence anomalies generally started a few years prior to the
occurrence of the mainshock. The linear dimension of the seismic quiescence
zone could be a few to several times of the rupture dimension of the
mainshock. The significance of the seismic quiescence anomalies revealed by
the RTL algorithm was supported by the close investigations of model
parameter effects and the stochastic test based on randomized earthquake
catalogs. 第37回
講演者： Herrmann, Marcus （ETH
Zurich (チューリッヒ工科大学・スイス), Swiss
Seismological Servise ・博士後期課程（大学院生））
日 時： 2013年 8月
27日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Forecasting Losses Caused by a M6.6
Scenario Earthquake Sequence in Basel, Switzerland Abstract： When
people and their environment are not properly prepared, earthquakes pose a
serious threat. Recently, the SEISMO-12 earthquake scenario exercise
simulated the repeat of the 1356 Basel earthquake. This gave officials,
organizations, and the general public an idea of what may be expected in case
of a M6.6 earthquake. The present work relates to the scenario and
contributes to loss reduction by expressing the potential impact through
seismic risk. Reducing the short-term seismic risk requires the evacuation of
vulnerable buildings. However, one cannot always evacuate in times of an
ongoing seismic sequence. Based on information of the continuous seismicity,
probabilistic forecasts show increasing benefit for short-term defense
against earthquakes. Forecast probabilities subsequently allow time-varying
seismic hazard calculation. Only another combination with time-invariant loss
estimation permits the assessment of short-term seismic risk. Seismic risk
delivers a more direct expression of the socio-economic impact than seismic
hazard, but one must characterize vulnerability and exposure to estimate
risk. Risk assessment brings together a variety of data, models and
assumptions. Based on the specific earthquake scenario, I perform a
probabilistic forecast of human losses. Seismologists may not be responsible
for communicating short-term risk information to the public, but they have to
support decision-makers to take worthwhile actions that may save lives.
However, the low-probability environment and the complexity of involved
processes challenge decision-makers. A final cost--benefit analysis
constitutes greater benefit than pure statistical approaches by providing
objective statements that may justify evacuations. To deliver supportive
information in the simplest reasonable form, I propose a warning approach ---
in terms of alarm levels --- which allows one to explore worthwhile
mitigation actions for each district of the Basel region. 第36回
講演者： Dr. Enescu, Bogdan （筑波大学
生命環境系地球進化科学専攻 ・准教授）
日 時： 2013年 7月
23日(火) 16:00 -17:00 場 所： 統計数理研究所 D313セミナー室5 Title： Dynamic triggering of earthquakes in
Japan due to the 2011 Tohoku-oki earthquake: some
observations, stress modeling and interpretation Abstract： （TBA） 第35回
講演者： Dr. Marzocchi, Warner （Istituto Nazionale di Geofisica e Vulcanologia, Rome,
Italy ・ Chief
scientist） 日 時： 2013年 7月
3日(水)
16:00 -16:40 場 所： 統計数理研究所 D313セミナー室5 Title： Operational Earthquake Forecasting and
Decision Making Abstract： Traditionally,
seismic risk reduction is achieved only through a sound earthquake building
code. Nonetheless, some recent seismic disasters have highlighted the need
for enlarging the range of risk mitigation actions beyond that. In
particular, the occurrence of a seismic sequence may increase the weekly
probability of a large shock by orders of magnitude, although the absolute
probability usually remains below 1/100. Here, we summarize the state of the
art in short-term earthquake forecasting and discuss how these forecasts may
be used to mitigate seismic risk in this time horizon. Because of the low
probabilities and high false alarm rates of possible advisories, mandatory
mitigation actions would not be an effective practical strategy to reduce
risk. Alternatively, we propose some low cost strategies, such as increasing
vigilance and preparedness, for using probabilistic forecasting to mitigate
seismic risk. These are based on the ‘nudging’ principle of devolving
decision-making down from civic authorities to the individual level. 第34回
講演者： Dr. Chen, Xiaowei （Scripps
Institution of Oceanography, University of California, San Diego ・ Post-Doctoral Fellow） 日 時： 2013年 4月
16日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Aspects of earthquake triggering and
seismicity clustering Abstract： Earthquakes
strongly cluster in space and time, driven both by earthquake-to-earthquake
triggering and underlying physical processes, such as tectonic stress
loading, increased pore pressure, etc. To
understand the general characteristics of earthquake clustering from a large
dataset of earthquakes, I analyze seismicity in southern California. I use a
high-resolution earthquake catalog based on waveform cross-correlation to
study the spatial-temporal distribution of earthquakes. Parameters based on
event location, magnitude and occurrence time are computed for isolated
seismicity clusters. Spatial migration behavior is modeled using a
weighted-L1-norm method. Aftershock-like event clusters do not exhibit
significant spatial migration compared with earthquake swarms. Two triggering
processes are considered for swarms: slow slip and fluid diffusion, which are
distinguished based on a statistical analysis of event migration. The results
suggest fluid-induced seismicity is found across southern California,
particularly within geothermal areas. In the Salton Sea geothermal field
(SSGF), a correlation between seismicity and fluid injection activities is
seen. Spatial-temporal variations of earthquake stress drops are investigated
in different regions, and a distance-dependence of stress drop from the
injection source is found in the SSGF, suggesting the influence of increased
pore pressure. Temporal variation of stress drops within mainshock source
regions shows that foreshocks and earthquake swarms have lower stress drops
than background seismicity and aftershocks. These results, combined with the
spatial migration observed for some large foreshock sequences, suggests an
aseismic transient process is likely involved in foreshock triggering. 第33回
講演者： Dr. 韓 鵬（Han, Peng） （千葉大学・大学院生） 日 時： 2013年 2月
14日(木) 16:00 -18:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Investigation of ULF seismo-magnetic phenomena in Kanto, Japan during 2000 –
2010 Abstract： Earthquakes
are one the most destructive natural hazards, causing huge damages and high casualties.
Especially during the past decade, huge/mega earthquakes have hit many
countries. Thus, effective earthquake forecasting is important and urgent.
Since the end of last century, ULF seismo-magnetic
phenomena have been intensively studied. Recently, it has been considered a
promising candidate for short-term earthquake prediction as a number of case
studies have been reported. However, scientists also found that
sometimes a sizeable earthquake happened without magnetic anomalies and
sometimes magnetic anomalies followed by no earthquakes. Thus, the relation
between magnetic anomalies and seismicity has been queried. Moreover, there
are two essential problems puzzling the researchers: (1) what is the exact
waveform of electro-magnetic signals associated with earthquakes or
underground activities; (2) how are the signals generated. These two
questions have not yet been answered clearly and fully. There are still
active debates in the geophysical community on the seismo-electromagnetic
phenomena. In order to verify, clarify, and evaluate the ULF seismo-magnetic phenomena, long-term continuous
monitoring of ULF magnetic field in a seismically active area is required.
Therefore, a sensitive observation network has been established in
Kanto-Tokai area since the year 2000. Based on eleven years’ observation,
plenty of geomagnetic data have been accumulated, which provides an excellent
opportunity to find answers to the questions above. Thus, in this study I
have conducted an investigation of ULF seismo-magnetic
phenomena in Izu and Boso Peninsulas, Japan, based on the data observed from
2000-2010. First, case studies of major events
have been applied. Energy of ULF geomagnetic signals at the frequency around
0.01 Hz has been investigated by wavelet transform analysis. In order to
minimize the influences of artificial noises, only the midnight time data (LT
1:00 ~ 4:00) have been utilized. To indentify
anomalous changes from ionospheric disturbances, the standard station Memabutsu has been chosen as a reference station. (1)
Case studies of the 2000 Izu Islands earthquake swarm have indicated that
there are unusual geomagnetic energy enhancements in vertical component
before and during the earthquake swarm. (2) Case studies of the 2005 Boso M
6.1 earthquake have also shown clear geomagnetic energy enhancements in
vertical component before the earthquake. (3) Case studies of the 2002 and
2007 slow slip events have demonstrated that there are geomagnetic energy
enhancements in both vertical and horizontal components during the slip
events. Then,
to verify and clarify the relation between ULF geomagnetic anomalies and
seismicity, statistical studies by superposed epoch analysis (SEA) have been
carried out. The results have indicated that before a sizeable earthquake
there are clearly higher probabilities of ULF anomalies than after the
earthquake: for Seikoshi (SKS) station in Izu,
about 20~30 days before, one week and few days before, and one day after the
event statistical results of daily counts are significant; for Kiyosumi (KYS) station in Boso around two weeks before,
few days before, and one day after the event. Finally, to find out the detailed
waveform of anomalous magnetic signals, waveform analysis has been performed.
The results show that there are mainly two kinds of seismo-magnetic
signature. (1) Noise-like signals: Compared with the background, the signals
exhibit small increases of amplitudes at a wide frequency range. (2)
Transient/quasi-rectangular signals: the signals have transient/quasi-rectangular
waveforms with amplitudes of several nT (~ 10-9
T). The noise-like signals usually persist for several days or even a few
weeks, and are mainly associated with large earthquakes; the
transient/quasi-rectangular signals have durations of few seconds to few ten
seconds, and are registered mainly during slow slip events. Based on the results obtained above,
we conclude that: (1) there is a correlation between ULF geomagnetic
anomalies and local sizeable earthquakes in Izu and Boso Peninsulas, Japan,
and the common period of significant results is few days before and one day
after a sizeable earthquake; (2) there are mainly two kinds of seismo-magnetic signature registered in Izu and Boso
Peninsulas: noise-like signals and transient/quasi-rectangular signals. The
mechanisms of the anomalous geomagnetic signals are still unclear and need
further studies. 第32回
講演者： Prof. Savage, Martha （School
of Geography, Environment and Earth Sciences, Victoria University of
Wellington, New Zealand ・ Professor） 日 時： 2012年 11月
13日(火) 16:00 -18:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Towards Predicting Earthquakes and
Volcanic Eruptions using Statistical Techniques Abstract： Predicting
natural hazards is fraught and statistical techniques are necessary to put
such studies on a firm standing.
Here we discuss two methods that we have applied to volcanic areas. Analysis of the rates of earthquake
activity (CURATE) is used to determine the characteristics of earthquake
swarms to try to determine how they develop over time. The technique compares favourably to other declustering
techniques and allows us to consider whether some swarms are triggered by
underlying processes that create diffuse seismicity that is not well modelled
by Omori’s law. We also analyse waveforms of
earthquakes to determine seismic anisotropy, which depends upon stress
orientation and magnitude, which in turn can be influenced by earthquake and
volcanic activity. Seismic waves
travel faster when their particle motion is along the cracks, which orient
with the principal stress direction.
At volcanoes around the world, we discovered significant changes in
seismic anisotropy strength and orientation that correlate with magma
movement. Detecting and
evaluating such changes is complicated by scattered measurements, which
sometimes have 90 degree ambiguities and we have been considering ways to
make the techniques more robust.
These observations will provide the data that may eventually lead to
prediction tools. 第31回
講演者： 近江 崇宏 （東京大学 JST ・ 博士研究員）
日 時： 2012年 10月
25日(木) 16:00 -17:00 場 所： 統計数理研究所 4階ラウンジ Title： A state-space model for estimating the
time-varying detection rate of earthquakes and its application to immediate
probabilistic prediction of aftershocks Abstract： After
a large earthquake, the detection rate of earthquakes temporarily decreases,
and a lot of earthquakes are missed from a catalog. Such incompleteness of
the catalog prevents us from estimating statistical models of aftershock
activity accurately. To overcome this difficulty, Ogata and Katsura (2005)
modeled the incomplete catalog by using a parametric model of a time-varying
detection rate of earthquakes. In
this talk, we propose a state space model for estimating the time-varying
detection rate. In our model, the estimation problem is recursively solved,
by using Kalman filter and a Gaussian approximation of the posterior
probability distribution. Thus our model has an advantage in real-time
computation. Finally our model is combined with the Omori-Utsu
law to predict the occurrence rate of underlying aftershocks. We present some
results on the immediate probabilistic prediction of aftershocks. 第30回
講演者： Dr. 王 婷（Wang, Ting） （University of Otago, New Zealand ・ Lecturer） 日 時： 2012年 7月
24日(火) 16:00 -17:00 場 所： 統計数理研究所 D312Bセミナー室4 Title： Hidden Markov models in modelling
earthquake data Abstract： Earthquakes
are processes in which the internal workings (such as the accumulation of
tectonic stress) are only observed indirectly, although the final effects are
all too observable! Hidden Markov models (HMMs, a general statistical framework
for modelling partially observed systems) are an intuitively attractive idea
for analysing seismicity. I will briefly introduce
the idea of using HMMs to investigate earthquake cycles, and then focus on
one case study incorporating GPS data into earthquake forecasting. A new
model we developed, the Markov-modulated Hawkes process with stepwise decay
(MMHPSD), can capture the cyclic parent-generating-offspring feature of the
temporal behaviour of earthquakes. The
decomposition of the earthquake cycle motivated the construction of a
non-linear filter measuring short-term deformation rate-changes to extract
signals from GPS data. This filter was applied to a) deep earthquakes in
central North Island, New Zealand, and b) shallow earthquakes in Southern California.
The study examines the use of HMMs to extract possible precursory information
that indicates an elevated probability of large earthquakes occurrence. This
study is controversial and still requires further tests. Japan is an ideal
place to carry out this test. 第29回
-1 講演者： Prof. Daley, Daryl （Department
of Mathematics and Statistics, The University of Melbourne ・ 名誉教授）
日 時： 2012年 7月
6日(金)
14:30 -15:30 場 所： 統計数理研究所 D312Aセミナー室3 Title： Dimension walks and Schoenberg
spectral measures for isotropic random fields Abstract： Schoenberg
(1938) showed how Bochner's basic representation theorem for positive
definite functions (e.g. correlation function of a stationary stochastic
process) `simplifies' for spatial processes (d-dimensional random fields)
which are isotropic: the standard Fourier kernel function is replaced by the
characteristic function of a random direction in d-space and the spectral
measure, instead of being on d-space, is on the positive half-line. The
talk describes how Wendland's `dimension walks', which were defined earlier
by Matheron as Descente and Montee
in studying relations between d-D and either (d+2)-D or (d-2)-D correlation
functions, are equivalent to simple modifications of their d-Schoenberg
measures. Another
family of dimension walks arises from projections from unit d-spheres to
lower dimensional spheres, first via the kernel functions in the Schoenberg
representation and then more generally, for d-Schoenberg measures. -2 講演者： Dr. Adrian Baddeley （CSIRO
Mathematics, Informatics & Statistics・Research
Scientist） 日 時： 2012年 7月
6日(金)
15:30 -16:30 場 所： 統計数理研究所 D312Aセミナー室3 Title： Leverage, influence and residual diagnostics
for point process models Abstract： For a
spatial point process model fitted to spatial point pattern data, we develop
diagnostics for model validation, analogous to the classical measures of
leverage and influence and residual plots in a generalized linear model. The
diagnostics can be characterised as derivatives of
basic functional of the model. They can also be derived heuristically (and
computed in practice) as the limits of classical diagnostics under
increasingly fine discretizations of the spatial
domain. We apply the diagnostics to example datasets where there are concerns
about model validity. -3 講演者： 島谷 健一郎 （統計数理研究所 データ科学研究系・准教授） 日 時： 2012年 7月
6日(金)
16:30 -17:30 場 所： 統計数理研究所 D312Aセミナー室3 Title： Inferring parameters in inhomogeneous
Neyman-Scott processes using the Palm likelihood Abstract： Plant
populations often exhibit spatially clustering distributions, in which the
two processes, limited seed dispersal and limited safe sites, are primary mechanisms.
The inhomogeneous Neyman-Scott process can combine and model these two
ecological processes. Estimating the model parameters allows evaluation of
the relative effects of dispersal and safe sites retrospectively from spatial
individual distribution data along environmental gradients. Here we propose a
likelihood-based method for this spatial point process by extending the
recently developed method, the Palm likelihood. Our approach was applied to
even-aged black spruce forests in Canada. We obtained a set of model
parameters that well reproduced the observed spatial patterns, and the fitted
point processes predicted the reassembly pathway of the boreal forests. 第27回
講演者： Dr. 蒋 長勝（Jiang, Changsheng） （中国地震局地球物理研究所 ・副研究員(准教授)） 日 時： 2012年 6月
19日(火) 場 所： 統計数理研究所 4階ラウンジ Title： Background sesismicty
and its application in the study of Accelerating Moment release (AMR) and
Pattern Informatics (PI) method
（Changsheng
Jiang, Zhongliang Wu and Jiancang
Zhuang） Abstract： 第26回
講演者： Dr. Chan, Chung-Han （Department
of Geosciences, National Taiwan University ・
Postdoctoral Fellow） 日 時： 2012年 5月
29日(火) 16:00 -18:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Short-term earthquake forecasting
through a smoothing Kernel and the rate-and-state friction law: Application
to Taiwan and the Kanto region, Japan Abstract： An
earthquake forecasting approach was employed for estimating the spatio-temporal distribution of seismicity density in
Taiwan and the Kanto region, Japan. To evaluate long-term seismicity rate, a
smoothing Kernel function based on the distribution of past earthquakes was
proposed. With the use of the rate-and-state friction model, short-term rate
evolution according to the fault-interaction stress disturbance was
forecasted. To test feasibility of this model, it was applied using a catalog
for the area surrounding Taiwan. It leads to good agreement between the model
forecast and actual observations to prove its forecasting accuracy. To check
its stability, we estimated the deviation of the models according to
different parameters used in the approach. We conclude that deviations within
each parameter had an insignificant impact on forecasting stability. For the
application to the Kanto region, we proposed a 3D forecasting model due to
its complex tectonic setting. The seismicity patterns at various depths are
illustrated and the seismicity rate in the crust and along the subduction
zones can be distinguished. The high seismicity rate offshore in the east at
the depth of 20-50 km can be associated with stress increase imparted by the
2011 Tohoku sequence. This phenomenon can be forecasted according to the
rate-and-state friction model. The proposed approach, with verified
applicability for seismicity forecasts, could be useful for seismic hazard
mitigation. The application could provide a warning before the occurrence of
consequent earthquakes and would be valuable for consequent studies, e.g.,
probabilistic seismic hazard assessment. 第25回
講演者： Dr. Guillas, Serge （Department of Statistical Science,
University College London ・ Reader） 日 時： 2012年 5月
18日(金) 16:00 -18:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Earthquake occurrence: emulation and
climate forcing Abstract： In
earthquake occurrence studies, the so-called q value can be considered both
as one of the parameters describing the distribution of interevent times and
as an index of non-extensivity. Using simulated datasets, we compare four
estimators, based on principle of maximum entropy, method of moments, maximum
likelihood, and probability weighted moments (PMW) of the parameters of the
distribution of inter-events times, assumed to be a generalized Pareto
distribution. We then use the unbiased version of PWM estimators to compute
the q value for the distribution of inter-event times in a realistic
earthquake catalogue simulated according to the epidemic type aftershock
sequence (ETAS) model. Finally, we use these findings to build a statistical
emulator of the q values of ETAS model. We employ treed Gaussian processes to
obtain partitions of the parameter space so that the resulting model respects
sharp changes in physical behaviour. The emulator
is used to understand the joint effects of input parameters on the q value,
exploring the relationship between ETAS model formulation and distribution of
inter-event times. We
then present statistical evidence for a temporal link between variations in
the El Ni〓o〓Southern
Oscillation (ENSO) and the occurrence of earthquakes on the East Pacific Rise
(EPR). We adopt a zero-inflated Poisson regression model to represent the
relationship between the number of earthquakes in the Easter microplate on
the EPR and ENSO (expressed using the southern oscillation index (SOI) for
east Pacific sea-level pressure anomalies) from February 1973 to February
2009. We also examine the relationship between the numbers of earthquakes and
sea levels, as retrieved by Topex/Poseidon from October 1992 to July 2002. We
observe a significant positive influence of SOI on seismicity: positive SOI
values trigger more earthquakes over the following 2 to 6 months than
negative SOI values. There is a significant negative influence of absolute
sea levels on seismicity (at 6 months lag). We propose that increased
seismicity is associated with ENSO-driven sea-surface gradients (rising from east
to west) in the equatorial Pacific, leading to a reduction in ocean-bottom
pressure over the EPR by a few kilopascal. This relationship is opposite to
reservoir-triggered seismicity and suggests that EPR fault activity may be
triggered by plate flexure associated with the reduced pressure. 第24回
講演者： 寺川 寿子 （名古屋大学 環境学研究科 附属地震火山研究センター・助教） 日 時： 2012年 5月
11日(金) 14:00-17:00 場 所： 統計数理研究所 D312Aセミナー室3 Title： Temporal Changes in Fault Strength and
Pore Fluid Pressures Following the 2011 off the Pacific Coast of Tohoku
Earthquake Abstract： Extensive
aftershocks and triggered seismic events are ubiquitous following large
earthquakes, but the controlling mechanisms are not yet understood. Focal
mechanisms of these events can provide insight into physical triggering
mechanisms because they reflect friction coefficient and pore fluid pressure
on the fault as well as the tectonic stress pattern. In the present study we
investigate physical processes triggering seismic events in inland region of
the northeast Japan following the 2011 off the Pacific Coast of Tohoku
earthquake (Mw = 9.0) by examining focal mechanisms to the tectonic stress
pattern and changes in the Coulomb failure function (DCFF). The local
excitation of seismicity rate in the regions with negative DCFF indicates
that these aftershocks would have been triggered by decrease of fault
strength due to the increase of pore fluid pressures. We show a plausible
explanation that seismic events on unfavourably
oriented pre-existing faults relative to the tectonic stress pattern, or
focal mechanisms inconsistent with the tectonic stress pattern, would be
evidence for drastic decrease of fault strength due to increase of pore fluid
pressures. 第23回
講演者： Prof. Khmaladze, Estate V. （School of Mathematics, Statistics and
Operations Research, Victoria University of Wellington, New Zealand.・Professor） 日 時： 2011年12月12日(月)
16:00 -17:00 場 所： 統計数理研究所 D312-Aセミナー室3 (立川) Title： Infinitesimal analysis of set-valued
functions and applications to spacial statistics
and image analysis Abstract： →PDF The
problem under consideration started with a study of spacial
change-point problem, or change-set problem as we called it: suppose there is
a set $K$, such that our observations inside this set behave differently then anywhere outside it. Given $n$ observations, how can
we test that a given $K$ is the correct one against its small perturbation
$K(\varepsilon)$ as an alternative? In huge amount of publications on the
change-set problem, almost all devoted to the estimation of the change-set,
we could not find such an object as an "alternative set" $K(\varepsilon)$. One reason for this porbably
is that it is not easy to realize how to describe small changes in sets. We
developed an appropriate notion of the derivative of set-valued function in (Khmaladze, 2007) and used it to
build a version of contiguity theory in (Einmahl,
Khmaladze, 2011) for statistical problems where the parameter of interest is
a set. One
single result here is that if $\Phi_n$ is a point
process with increasing intenstiy $n$, and the
symmetric difference $K(\varepsilon)\Delta K$
shrinks and "vanishes" as $\varepsilon
\to 0$, then the sequence $\Phi_n(K(\varepsilon)\Delta K)$ lives in the limit on the derivative
set $dK(\varepsilon)/d\varepsilon$: $$\Phi_n( K(\varepsilon)\Delta K)
\to \Psi (dK(\varepsilon)/d\varepsilon, {\rm as} n\to\infty,
\varepsilon\to 0.$$ In
the talk we present the main framework of this approach. We hope that some
discussions would lead to further applications. 第22回
講演者： 岩田 貴樹 （統計数理研究所
予測発見戦略研究センター 地震予測解析グループ・特任准教授） 日 時： 2011年 11月
25日(金) 13:30-14:30 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： The slip distribution of the 2011
Tohoku-oki earthquake inferred from the spatial
distribution of its aftershocks Abstract： We have
developed a method to estimate the spatial slip distribution of a large
earthquake based on its on-fault aftershock activity and the rate- and
state-dependent friction model (Dieterich, 1994, JGR). This talk will
represents the application of this method to the 2011 Tohoku-oki earthquake. The outline of the method is as follows.
First, we divided the source area of the destructive earthquake into 450 subfaults of which size is 20 x 20 km. Next the slips of
each subfault were optimized to make the expected
spatial distribution of aftershocks fit to the observed distribution during
one day after the mainshock. The expected distribution was derived from the
Dieterich’s formulation and the goodness-of-fit between the expected and
observed distributions was evaluated by means of the likelihood for
point-process model. Then we constructed a Bayesian model incorporating
smoothness constraint on the spatial slip distribution, because optimizing
such a huge number of parameters is unstable; the incorporation of the
constraint enhances the stability of the optimization. To compute the
posterior distribution of the parameters in this Bayesian framework, the
Markov Chain Monte Carlo method was used. The result of this approach found
an asperity close to the hypocenter and some small asperities located to the
southwest of the hypocenter. This feature is consistent with the results of
some slip inversions based on seismograph, geodetic, and/or tsunami data,
suggesting that seismic activity data would play an important role in the
estimation of rupture process of an earthquake. 第21回 -1 講演者： Prof. Schorlemmer, Danijel （GFZ German Research Centre for
Geosciences, Potsdam, Germany ・
Professor） 日 時： 2011年10月18日(火)
15:00 -16:00 場 所： 統計数理研究所 D312-Aセミナー室3 (立川)
Title： Advancements in Probabilistic Seismic
Network Completeness Studies Abstract： An
important characteristic of any seismic network is its detection
completeness, which should be considered a function of space and time. Many
researchers rely on robust estimates of detection completeness, especially
when investigating statistical parameters of earthquake occurrence. We
present the Probability-based Magnitude of Completeness (PMC) method for
computing the spatial variation and temporal evolution of detection capability
of seismic networks based on empirical data only: phase data, station
information, and the network specific attenuation relation. New developments
are extending this method to complex 3D structures like mining environments. We
present studies of regional networks from California, Switzerland, Italy,
Japan, New Zealand, and compare the result with estimated completeness levels
of other methods. We report on the time evolution of monitoring completeness
in these regions. Scenario computations show the impact of different possible
network failures and offer estimates of possible network optimization
strategies. Optimizations are reducing the necessary processor time for
computing. All presented results are published on the CompletenessWeb
(www.completenessweb.org) from
which the user can download completeness data from all investigated regions,
software codes for reproducing the results, and publication-ready and
customizable figures. -2 講演者： Prof. Rundle, John B. （Department
of Physics and Geology, University of California, Davis, U.S.A.・Distinguished Professor） 日 時： 2011年10月18日(火)
16:00 -18:00 場 所： 統計数理研究所 D312-Aセミナー室3 (立川)
Title： Forecasting Large Earthquakes:
Problems, Pitfalls and Promise Abstract： Forecasting
the future behavior of a stochastic complex system is a necessary and
critical activity with wide applications. As the mathematician Edward Thorp
showed many years ago [1,2], forecasting has applications in games of chance
as well as in financial markets.
Both fields represent applications of statistics, stochastic random
walks, and probability theory.
Objective evaluation of forecasts by established tests and measures is
also a necessary and important component of a forecasting system. Many of the modern tests have been
tabulated at [3]. Earthquake
forecasts are a special case of the forecasting problem, particularly as
applied to large earthquakes such as the March 11, M9 Off the Pacific Coast
of Tohoku earthquake. Forecasts
of future events in complex systems are in general plagued by incomplete
information, a problem that must be considered in constructing forecasts. In addition to these problems,
delivery of real-time forecast information to the scientific community and to
the public is an issue as well.
Here, web 2.0 technology is helpful in allowing rapid dissemination of
information. In this lecture, I
shall discuss these general aspects of the forecasting problem as applied to
earthquake forecasting. I will
discuss ideas based on the Natural Time Weibull method of earthquake
forecasting, recently developed by our group. I will also discuss our experiences
with numerical earthquake simulations, as well as with public outreach using
the World Wide Web (see www.openhazards.com). [1]
E. Thorp and S. Kassouf, Beat the Market: A Scientific Stock Market
System, Random House (1967) [2]
E. Thorp, Beat the Dealer: A Winning Strategy for the Game of Twenty-One, Random
House (1962) [3]
http://www.cawcr.gov.au/projects/verification/ 第20回
講演者： Dr. Kagan, Yan Y. （Department
Earth and Space Sciences (ESS), UCLA, U.S.A.・Researcher） 日 時： 2011年9月2日(金)
16:00 -17:00 場 所： 統計数理研究所 D312-Bセミナー室4 (立川) Title： Statistical properties of earthquake
occurrence and their application for earthquake forecasting Abstract： Earthquake
occurrence exhibits scale-invariant statistical properties: (a) Earthquake
size distribution is a power-law (the Gutenberg-Richter relation for
magnitudes or the Pareto distribution for seismic moment). Preservation of
energy principle requires that the distribution should be limited on the high
side; thus we use the generalized gamma or tapered Pareto distribution. The
observational value of the distribution index is about 0.65. However, it can
be shown that empirical evaluation is upward biased, and the index of 1/2,
predicted by theoretical arguments, is likely to be its proper value. The
corner (maximum) moment has an universal value for shallow earthquakes
occurring in subduction zones. We also determined the corner moment values
for 8 other tectonic zones. (b) Earthquake
occurrence has a power-law temporal decay of the rate of the aftershock and
foreshock occurrence (Omori's law), with the index 0.5 for shallow
earthquakes. The short-term clustering of large earthquakes is followed by a
transition to the Poisson occurrence rate. In the subduction zones this
transition occurs (depending on the deformation rate) after 7-15 years,
whereas in active continents or plate-interiors the transition occurs after
decades or even centuries. (c)
The spatial distribution of earthquakes is fractal: the correlation dimension
of earthquake hypocenters is equal to 2.2 for shallow earthquakes. (d)
The stochastic 3-D disorientation of earthquake focal mechanisms is
approximated by the rotational Cauchy distribution. On
the basis of our statistical studies, since 1977 we have developed
statistical short- and long-term earthquake forecasts to predict earthquake
rate per unit area, time, and magnitude. The forecasts are based on smoothed
maps of past seismicity and assume spatial and temporal clustering. Our
recent program forecasts earthquakes on a 0.1 degree grid for a global region
90N--90S latitude. For this purpose we use the PDE catalog that reports many
smaller quakes (M>=5.0). For the long-term forecast we test two types of
smoothing kernels based on the power-law and on the spherical Fisher
distribution. We employ adaptive kernel smoothing which improves our forecast
in seismically quiet areas. Our forecasts can be tested within a relatively
short time period since smaller events occur with greater frequency. The
forecast efficiency can be measured by likelihood scores expressed as the
average probability gains per earthquake compared to the spatially or
temporally uniform Poisson distribution. The other method uses the error
diagram to display the forecasted point density and the point events. As an
illustration of our methods, we are trying to answer a question: was the
Tohoku mega-earthquake of 2011/3/11 a surprise? We consider three issues
related to the 2011 Tohoku earthquake: (1)
Why was the magnitude limit for the Tohoku region so badly underestimated,
and how can we estimate realistic limits for subduction zones in general? (2)
How frequently can such large events occur off Tohoku? (3)
Could short-term forecasts have offered effective guidance for emergency
preparation? Two
methods can be applied to estimate the maximum earthquake size in any region:
statistical analysis of available earthquake records, and the moment
conservation principle -- how earthquakes release tectonic deformation. We
have developed both methods since 1991. For subduction zones, the seismic
record is usually insufficient (in fact it failed badly for Tohoku), because
the largest earthquakes are so rare. However, the moment conservation
principle yields consistent estimates for all subduction zones. Various
measurements imply maximum moment magnitudes of the order 9.0--9.7. A
comparison of the inter-earthquake secular strain accumulation and its
release by the coseismic slip implies a similar
maximum earthquake size estimate. Beginning in 1999 we
used our statistical short- and long-term earthquake forecasts, based on the
GCMT catalog, for the western Pacific, including Japan. We have posted them
on the web and included expected focal mechanisms as well. Long-term
forecasts indicate that the average frequency for magnitude 9 earthquakes in
the Tohoku area is about 1/400 years. We have archived several forecasts made
before and after the Tohoku earthquake. As expected, the Tohoku
mega-earthquake changed the forecasted long-term rate by just a few percent.
However, the magnitude 7.5 foreshock increased the short term rate to about
100 times the long-term rate, and the magnitude 9 event increased it briefly
to more than 1000 times the long-term rate. These results could well justify
the development of an operational earthquake forecasting plan. 第19回 日 時： 2011年3月4日(金)
15:00 -16:00 場 所： 統計数理研究所 D312Aセミナー室3 (立川) -1 講演者： Dr. Talbi, Abdelhak （東京大学地震研究所
・外国人研究員） Title： Analysis of Earthquake Inter-event
Times Abstract： Understanding
temporal behavior of earthquakes is a fundamental step towards building
reliable statistical model fitting observed seismicity. A successful class of
models assume two seismicity components corresponding to stable background・and
varying triggered・rates or inter-event times. In this
study, the distribution of inter-event times is modeled assuming triggered
events governed by a non-homogenous Poisson process, and background events
governed by different hypothetical distribution (Exponential, Gamma and
Weibull). The model is analytically introduced using Palm-Khinchine
equations and fitted in practice to seismicity data from southern California,
Japan and Turkey. The analytic form of the distribution is discussed when
different priory hypotheses are adopted.In a second
step, the temporal clustering of events is studied using the distance between
the whole distribution of inter-event times, and the residual distributions
obtained using different declustering approaches.
Short and long range correlations are studied in space and time. The residual
background process is found dominant around the mean inter-event time and the
mean inter-event distance. The former analysis describes seismicity as the
accumulation of local perturbations related to a unique mean field background・processes
characterized by the mean inter-event time and the mean inter-distance. -2 講演者： Prof. Console, Rodolfo （National
Institute of Geophysics and Volcanology, Rome, Italy ・ Senior Scientific Advisor） Title： Short-term earthquake forecasting
before and during the L'Aquila (Central
Italy) seismic sequence of April 2009 Abstract： The
M5.9 earthquake occurred on April 6th 2009, which caused more than 300
casualties in the city of L'Aquila and neighboring villages in Central Italy,
immediately generated a lot of discussions about the potential practical use
of foreshocks and other kind of information for mitigating seismic risk among
the population. These discussions triggered studies related to the validity
of statistical clustering models such as the ETAS model, not only for
forecasting aftershocks, but also mainshocks following potential foreshocks.
In the frame of the above mentioned studies, this presentation reports
preliminary results of the statistical analysis of the L'Aquila
seismic sequence by means of a version of the group of ETAS models. The free
parameters used in the algorithm are obtained through the maximum likelihood
method from a learning data set of instrumental seismicity collected from
2005 up to March 2009 in the region of L'Aquila.
Our method includes statistical declustering of the
background seismicity by an iterative process until the maximum likelihood of
the learning data set under the ETAS model is obtained. For testing purposes,
an algorithm for producing simulations of seismic series has been developed
and applied to produce synthetic catalogues, the statistical properties of
which are compared with those of the real one. Finally, the daily forecasts
of earthquakes at different threshold magnitudes were produced for a testing
period including the L'Aquila 2009 mainshocks and its largest aftershocks.
The results show that the probability of occurrence of an M5.9 computed from
the ETAS algorithm at the midnight preceding the L'Aquila
2009 mainshock, even if it was much higher than the background Poisson
probability, was quite low if compared with reasonable expectations for a
practical operational forecast. Moreover, the comparison between the daily
rate expected by the ETAS forecast method, and the real daily number of
aftershocks shows a systematic underestimation of such rate. 第18回 講演者： Dr. Falcone, Giuseppe （National
Institute of Geophysics and Volcanology Rome, Italy ・ Researcher） 日 時： 2011年2月17日(木)
15:00 -16:00 場 所： 統計数理研究所 D313セミナー室5 (立川) Title： Earthquake occurrence models and their
validation Abstract： This
presentation describes the tests and the forecast verification procedures of
three earthquake occurrence models applied to the various regions of the
globe (Italy, California, Japan) to assess the occurrence probabilities of
future earthquakes: two as short-term (24 hour) models, and one as long-term
(5 and 10 years). The first model for short-term forecasts is a purely
stochastic epidemic type earthquake sequence (ETES) model. The second short-term
model is an epidemic rate-state (ERS) forecast based on a model that is
physically constrained by the application to the earthquake clustering of the
Dieterich rate-state constitutive law. The third forecast is based on a
long-term stress transfer (LTST) model that considers the perturbations of
earthquake probability for interacting faults by static Coulomb
stress changes. The forecast verification procedures have been carried out in
forward-retrospective and in real time way making use of statistical tools as
the Relative Operating Characteristics (ROC) diagrams, Log-likelihood,
N-Test, L-Test and Observed and forecasted number of events. The seismic
hazard modeling approach so developed, after a suitable period of testing and
refinement, is expected to provide a useful contribution to earthquake hazard
assessment, even with a possible practical application for decision making
and public information. These
models have been submitted to the Collaboratory for the Study of Earthquake
Predictability (CSEP) for forecast testing for Italy (ETH Zurich) and Japan
(ERI Tokyo). 第17回 講演者： Dr. 陳 卉瑄（Chen, Kate Huihsuan） （国立台湾師範大学 ・助教） 日 時： 2011年1月28日(金)
15:00 -16:00 場 所： 統計数理研究所 D313セミナー室5 (立川) Title： Triggering effect of small to large
earthquakes on earthquake cycle of small repeating events Abstract： Knowledge
of what governs the timing of repeating earthquakes is essential to
understanding the nature of the earthquake cycle and to determining earthquake
hazard, yet the variability and controls of earthquake recurrences are not
well established. Several unsolved problems regarding the recurrence
properties of natural earthquake sequences remain: How do the repeating
sequences respond to static and dynamic stress perturbations associated with
nearby earthquakes? To what degree does fault interaction influence the
timing of repeating earthquakes? Do spatially adjacent repeating sequences
communicate with each other in a way that is clearly evident in similar
occurrence times or recurrence patterns? Here
we use a large population of small, characteristically repeating earthquakes
at Parkfield provides to study how the interaction of nearby earthquakes
affects their recurrence properties. We analyze 114 M -0.4 ~ 3.0 repeating
earthquake sequences (RES) to examine the triggering effect from nearby microseismicity. We find that close-by-events influence
RES’s timing in a matter of minutes or hours by short-term triggering. Events
that occurred within less than 1 day of an RES often imposed or experienced
high stress changes. A stress increment of 10 kPa appears to be needed to
produce such effectively immediate triggering. 第16回 講演者： Prof. Console, Rodolfo （National
Institute of Geophysics and Volcanology Rome, Italy ・ Senior Scientific Advisor） 日 時： 2011年1月17日(月)
15:00 -16:00 場 所： 統計数理研究所 4F ラウンジ (立川) Title： Renewal modeling and co-seismic stress
transfer for seismic hazard assessment in the Corinth Gulf, Greece, fault
system Abstract： Earthquake
forecasts have always been a difficult task because they can be affected by
uncertainty in terms of the most appropriate model and the involved parameter
values. The models adopted in this study belongs to the category of the
renewal models, based on the characteristic earthquake hypothesis, the
necessary ingredients of which are a fixed geometry and the knowledge of the
slip rate on the faults. Both the BPT and the Weibull distribution have been
tested. The hazard rate so obtained is then modified by the inclusion of a
permanent effect due to the Coulomb static stress change caused by failure of
neighboring faults that occurred since the latest characteristic earthquake
on the concerned fault. I apply this method along the Corinth gulf extension
zone, a place that is rich with observations of strong-earthquake recurrence
behavior, to assess their relative forecast applicability. The validity of
the renewal models is assessed in retrospective way on the data of the last
300 years by comparison with a plain time independent Poisson model. This is
done by means of statistical tools as the ROC diagram, the R-score and the
log-likelihood ratio. I find that the renewal models perform better than the
Poisson hypothesis. It seems also that the BPT distribution works slightly
better than the Weibull distribution, while little advantage is achieved by
the introduction of the Coulomb static stress change in the forecasting
algorithm. 第15回 講演者： Dr. Parsons, Tom （United
States Geological Survey, U.S.A. ・
Research Geophysicist） 日 時： 2011年1月4日(火)
14:00 -15:00 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： What causes aftershocks? Abstract： Despite
decades of research devoted to this question, we still do not know how
mainshocks cause aftershocks. In this presentation I show recent research
that attempts to isolate static and dynamic stressing signals so that we can
learn more about their abilities to trigger other earthquakes. We hope
someday to combine physical models with statistical models for forecasting,
but I show that the physical models still have problems when used
prospectively. 第14回 講演者： 遠田 晋次 （京都大学防災研究所 地震予知研究センター・准教授 日 時： 2010年11月17日(水)
13:30-14:30 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： Rate/state Coulomb stress transfer
model for the CSEP Japan seismicity forecast Abstract： Numerous
studies retrospectively found that seismicity rate jumps (drops) due to coseismic Coulomb stress increase (decrease). The
Collaboratory for the Study of Earthquake Predictability (CSEP) instead
provides us an opportunity for prospective testing of the Coulomb hypothesis.
Here we adapt our stress transfer model incorporating rate and state
dependent friction law to the CSEP Japan seismicity forecast. We demonstrate
how to compute the forecast rates of large shocks in 2009 using the large
earthquakes during the past 120 years. The time dependent impact of the coseismic stress perturbations explains qualitatively
well the occurrence of the recent moderate size shocks. Such ability is
partly similar to that of statistical earthquake clustering models. However,
our model differs from
them as follows: the off-fault aftershock zones can be simulated using finite
fault sources; the regional areal patterns of triggered seismicity are
modified by the dominant mechanisms of the potential sources; the imparted
stresses due to large earthquakes produce stress shadows that lead to a reduction
of the forecasted number of earthquakes. Although the model relies on several
unknown parameters, it is the first physics based model submitted to the CSEP
Japan test center and has the potential to be tuned for short-term earthquake
forecasts. 第13回 講演者： Dr. Bansal, Abhey Ram （National
Geophysical Research Institute, Council of Scientific and Industrial Research
(NGRI, CSIR) (India)・ 日 時： 2010年
7月16日(金)
15:00-16:00 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： Statistical seismology of Sumatra:
before and after the mega-earthquake of 26 December 2004 Abstract： We
examine the effect of the 特別セミナー 講演者： Prof. Vere-Jones, David
（Statistics
Research Associates Limited (SRA), New Zealand ・Director） 日 時： 2010年
6月 30日(金)
15:00-16:00 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： The Evolution of Statistical
Seismology Abstract： Some
account is given of the early days of statistical seismology, and some issues
raised for future consideration in this field. 第12回 講演者： 菅谷 勝則 （統計数理研究所
予測発見戦略研究センター 地震予測解析グループ・特任研究員） 日 時： 2010年
4月 23日(金)
15:00-16:00 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： Coseismic change
and recovery of scattering environment in the crust after a large earthquake (Sugaya,
K., Hiramatsu, Y., Furumoto, M. and Katao, H.) Abstract： The
coda waves mainly consist of scattered S waves in the crust. The attenuation
property of coda waves, coda Q^-1 or Qc^-1, reflects the scattering and
absorption environments in the crust and is supposed to be a good tool to
investigate medium properties in the crust. Furthermore, Qc^-1 is a good
indicator of the stress condition in the crust. We
observe a unique temporal variation in crustal heterogeneity from the
analysis of Qc^-1 for 14 years in the Tamba region, northeast to the rupture
zone of the 1995 Hyogo-ken Nanbu earthquake (Mjma
7.3) in southwest Japan. The values of Qc^-1 at lower frequencies (1.5-4.0
Hz) that increased coseismically due to the static
stress change decreased back to the pre-event values in about two years. No
such variations are found at higher frequencies (5.0-24.0 Hz). We confirm
that no tectonic events that cause a significant stress change occurred
during the recovery period. The time required for the recovery of the
scattering environment, such as the number density of cracks and cracks
opened by the stress change, observed here is consistent with those of
previous studies focused on the brittle shallower crust. This suggests a
possibility that a similar mechanism of the recovery operates both in the
brittle and the ductile parts of the crust. 第11回 講演者： Prof. Kuensch,
Hans R.（ETH
Zurich, Switzerland ・ Professor） 日 時： 2010年
4月 9日(金) 15:00-16:00 場 所： 統計数理研究所 D312Bセミナー室4 (立川) Title： Particle and Ensemble Kalman filtering
(Kuensch, Hans R. and Frei, Marco) Abstract： Ensemble
and particle filtering are two sequential Monte Carlo methods for
approximating the filter distributions in nonlinear and/or non-Gaussian state
space models. They differ in the way a new observation is taken into account
in the update step. The particle filter is non-parametric and works by
weighting and resampling. The Ensemble Kalman filter (EnsKF)
requires a linear Gaussian observation model and proceeds by a Monte Carlo
implementation of the linear Kalman
filter update. In a different version of the ENSKF called the square root
filter, updates are done by a linear transformation of the prediction sample
(without any additional randomness). Even though the EnsKF
is based on unwarranted assumptions, it is extremely robust in many high
dimensional applications where the number of particles is small because of
computational limitations. In contrast, the particle filter degenerates
quickly as the dimension of the observations increases. I
will discuss some of the following issues: EnsKF
for nonlinear observation equations, the use of the EnsKF
for parameter estimation, regularization of the estimated prediction
covariance, bias due to estimation of the prediction covariance, localization
of the EnsKF update, behavior of the EnsKF for Gaussian mixture predictions and ideas for
combining the EnsKF and the particle filter. 第10回 講演者： 王 祺（Wang,
Qi） （Department of Earth and Space
Sciences, University of California, Los Angeles, U.S.A.） 日 時： 2010年
2月 19日(金)
15:00-16:00 場 所： 統計数理研究所 D312Aセミナー室3 (立川) Title： An optimized five-year large
earthquake forecast in California based on smoothed seismicity (Qi Wang, D.D.Jackson and Y.Y. Kagan) Abstract： Earthquake
forecasting models based on seismic, geologic, tectonic and geodetic
information have been discussed a lot. We tried to state a five year forecast
of California earthquakes with magnitude above 5.0 based on smoothed
seismicity. We used extended sources to represent large earthquakes. Kagan
and Jackson (2007) have presented a five-year forecast of southern California
earthquakes with magnitude 5 or larger. Here we extend the forecast region
from southern California to all of California using the new California
earthquake catalog with estimated moment magnitude, and in one case we
include historic earthquakes as well as instrumentally recorded ones after
considering catalog incompleteness. This forecast model differs from others
like it because larger events are represented by multiple point sources and
because the parameters in the spatial smoothing kernel have been optimized in
learning period by using maximum likelihood estimation. We tried to answer two
basic questions: (1) whether the anisotropic and magnitude-dependent
smoothing kernels outperform the isotropic and magnitude-independent ones;
(2) whether including large historical earthquakes could improve the
forecast. Moreover, earthquake
data have errors in location, magnitude and focal mechanism that can
influence the results of earthquake studies. Neglecting these errors, or
estimating them poorly, could cause valid hypotheses to be rejected or
invalid ones to be accepted. We tried to estimate how the uncertainty of
catalog data especially uncertainty of magnitude influences our testable
forecast results. 第9回 講演者： Dr. Terakawa, Toshiko (寺川 寿子)（Geodynamics, Steinmann-Institute,
University of Bonn, Germany） 日 時： 2010年
1月 29日(金)
15:00-16:00 場 所： 統計数理研究所 D312Aセミナー室3 (立川) Title： Identification of the high fluid
pressure source driving the 2009 L’aquila
earthquake sequence (Toshiko Terakawa, Anna Zoporowski,
Boris Galvan, and Stephen A. Miller) Abstract： The
April 6, 2009 L’aquila intraplate earthquake
(Mw=6.3) in the Central Apennines occurred at the boundary separating regions
of diffuse CO_2 degassing and regions where degassing is not observed. The
same tectonic and geologic environment hosted the 1997 Colfiorito
sequence to the north, which was shown to be driven by degassing of a
high-pressure fluid source at depth with a fluid diffusion model [Miller et
al. 2004]. Here we show the 3D fluid pressure field in the L’aquila
region, applying a new analysis technique termed Focal Mechanism Tomography [Terakawa et al. 2009 (submitted)] to actual seismic
data. We identify three
large-scale pockets of high fluid pressure at depths of 7-10 km, and show a
very strong correlation between these high fluid pressure regions and both
foreshock and aftershock hypocenters. The shape of over-pressured regions and
the evolution of aftershock locations indicate that aftershocks are being
driven in part by fluid flow associated with volumetric compression from the
main-shock acting upon the over-pressured poro-elastic
reservoir [e.g., Nur & Booker 1982; Bosl &
Nur 2002], and by fracturing and subsequent flow from trapped high pressure
pockets [Miller et al. 2004]. The
mapped 3D fluid pressure field inferred from our analysis provides an
important boundary condition for forward modelling of fluid flow and stress
evolution for a mechanistic assessment of the continuing seismic hazard in
the region. These results also form a baseline hypothesis against which other
geophysical and geochemical measurements can be tested. 第8回 講演者： 姫野 哲人 （極地研究所 新領域融合研究センター・特任研究員） 日 時： 2010年
1月 15日(金)
15:00-16:00 場 所： 統計数理研究所 A508セミナー室 (立川) Title： Time variation of background
seismicity on ETAS model Abstract： The Epidemic
Type Aftershock Sequence (ETAS) model introduced by Ogata (1988) is one of
statistical method for seismicity. This model classifies earthquake sequence
into aftershocks and background seismicity. For the frequency of aftershocks,
some empirical relations is assumed. On the other hand, background seismicity
rate is constant. Therefore, the main shock sequence is distributed according
to stationary Poisson process. In this study, we focus the time variation of
background seismicity and expand the background seismicity. 第7回 講演者： Dr. Chu, Annie （統計数理研究所 予測発見戦略研究センター
地震予測解析グループ ・
特任研究員） 日 時： 2009年 12月 4日(金) 15:00-16:00 場 所： 統計数理研究所 D312Aセミナー室3 (立川) Title： Comparison of ETAS parameter estimates
across different global tectonic zones Abstract： Branching
point process models such as the ETAS (Epidemic-Type Aftershock Sequence)
models introduced by (Ogata 1988, 1998) are often used in the description,
characterization, simulation, and declustering of
modern earthquake catalogs. The present work investigates how the parameters
in these models vary across different tectonic zones. After considering
divisions of the surface of the Earth into several zones based on the plate
boundary model of Bird (2003), ETAS models are fit to the occurrence times
and locations of shallow earthquakes within each zone. Computationally, the
EM-type algorithm of Veen and Schoenberg (2008) is employed for the purpose
of model fitting. The fits and
variations in parameter estimates for distinct zones are compared. Seismological explanations for the
differences between the parameter estimates for the various zones are
considered, and implications for seismic hazard estimation and earthquake
forecasting are discussed. 第6回 講演者： Prof. 周 仕勇
(Zhou, Shiyong) （北京大学
地球空間科学学院 ・教授） 日 時： 2009年 10月
30日(金) 15:00-16:00 場 所： 統計数理研究所 D304セミナー室(立川) Title： Was the Ms
8.0 Long Men Shan (Wenchuan) Earthquake in 2008 induced
by the Zipingpu Reservoir? Abstract： According
to the Coulomb failure criterion the variation of either shear stress, normal
stress, or pore pressure can result in earthquake occurrences. Abnormal
seismicity increases around reservoirs are often thought to be induced by the
water piled behind the dam, which leads to increases in crustal pore pressure
and Coulomb stress nearby, and so promote the nearby faults to fail. To
investigate how much the Zi-Ping-Pu reservoir, whose dam is just a few
hundreds of meters from the Long Men Shan fault, influenced the May 12, 2008
Wenchuan earthquake Ms8.0, we calculated the Coulomb stress variation induced
by the filling of the Zipingpu reservoir, beginning
in December 2004, and analyzed the correlation between the seismicity
variations and the induced Coulomb stress variations. Both the calculated
Coulomb stress variations and the observed seismicity analysis suggest that
the probability that the huge Long Men Shan earthquake Ms8.0 was induced by
the Zipingpu reservoir is very low. The filling of
the Zipingpu reservoir could only result in a small
increase in the rate of shallow earthquakes with hypocenter depth smaller
than 5km near the reservoir region. 第5回 講演者： 野村 俊一 （総合研究大学院大学 ・
大学院生） 日 時： 2009年 10月 2日(金) 15:00-16:00 場 所： 統計数理研究所 D312セミナー室(立川) Title： Composing prior distributions of BPT
distribution with slip rates in renewal process of recurrent earthquakes | |||
