Short-Term Earthquake Forecasting Using Early Aftershock Statistics

Abstract We present an alarm-based earthquake forecast model that uses the early aftershock statistics (EAST). This model is based on the hypothesis that the time delay before the onset of the power-law aftershock decay rate decreases as the level of stress and the seismogenic potential increase. Here, we estimate this time delay from 〈 t g 〉, the time constant of the Omori–Utsu law. To isolate space–time regions with a relative high level of stress, the single local variable of our forecast model is the E a value, the ratio between the long-term and short-term estimations of 〈 t g 〉. When and where the E a value exceeds a given threshold (i.e., the c value is abnormally small), an alarm is issued, and an earthquake is expected to occur during the next time step. Retrospective tests show that the EAST model has better predictive power than a stationary reference model based on smoothed extrapolation of past seismicity. The official prospective test for California started on 1 July 2009 in the testing center of the Collaboratory for the Study of Earthquake Predictability (CSEP). During the first nine months, 44 M ≥4 earthquakes occurred in the testing area. For this time period, the EAST model has better predictive power than the reference model at a 1% level of significance. Because the EAST model has also a better predictive power than several time-varying clustering models tested in CSEP at a 1% level of significance, we suggest that our successful prospective results are not due only to the space–time clustering of aftershocks.

[1]  Danijel Schorlemmer,et al.  Earth science: Microseismicity data forecast rupture area , 2005, Nature.

[2]  Ilya Zaliapin,et al.  Short-term earthquake prediction by reverse analysis of lithosphere dynamics , 2006 .

[3]  Danijel Schorlemmer,et al.  Common dependence on stress for the two fundamental laws of statistical seismology , 2009, Nature.

[4]  Walter H. F. Smith,et al.  New, improved version of generic mapping tools released , 1998 .

[5]  David A. Rhoades Application of the EEPAS Model to Forecasting Earthquakes of Moderate Magnitude in Southern California , 2007 .

[6]  Zhigang Peng,et al.  Migration of early aftershocks following the 2004 Parkfield earthquake , 2009 .

[7]  Danijel Schorlemmer,et al.  RELM Testing Center , 2007 .

[8]  Zhigang Peng,et al.  Anomalous early aftershock decay rate of the 2004 Mw6.0 Parkfield, California, earthquake , 2006 .

[9]  Y. Ogata,et al.  Decay of aftershock activity for Japanese earthquakes , 2007 .

[10]  L. Knopoff,et al.  Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian? , 1974, Bulletin of the Seismological Society of America.

[11]  G. Molchan,et al.  Structure of optimal strategies in earthquake prediction , 1991 .

[12]  M. Wyss,et al.  Variations in earthquake-size distribution across different stress regimes , 2005, Nature.

[13]  G. Molchan,et al.  Earthquake prediction: probabilistic aspect , 2008, 0802.1126.

[14]  Matthias Holschneider,et al.  Loading rates in California inferred from aftershocks , 2008 .

[15]  P. Gasperini,et al.  Comparing different models of aftershock rate decay: The role of catalog incompleteness in the first times after main shock , 2005, physics/0510081.

[16]  M. Holschneider,et al.  Temporal limits of the power law aftershock decay rate , 2002 .

[17]  Y. Kagan Short-Term Properties of Earthquake Catalogs and Models of Earthquake Source , 2004 .

[18]  B. Atkinson Fracture Mechanics of Rock , 1987 .

[19]  R. Sibson,et al.  Frictional constraints on thrust, wrench and normal faults , 1974, Nature.

[20]  D. Turcotte,et al.  A Damage Mechanics Model for Aftershocks , 2004 .

[21]  Yehuda Ben-Zion,et al.  Analysis of aftershocks in a lithospheric model with seismogenic zone governed by damage rheology , 2006 .

[22]  Philip J. Maechling,et al.  The Collaboratory for the Study of Earthquake Predictability perspective on computational earthquake science , 2010 .

[23]  Y. Kagan,et al.  Comparison of Short-Term and Time-Independent Earthquake Forecast Models for Southern California , 2006 .

[24]  Jim Mori,et al.  Short Note Omori-Utsu Law c-Values Associated with Recent Moderate Earthquakes in Japan , 2009 .

[25]  John B. Rundle,et al.  A generalized Omori's law for earthquake aftershock decay , 2004 .

[26]  Y. Ogata Space-Time Point-Process Models for Earthquake Occurrences , 1998 .

[27]  Matthew C. Gerstenberger,et al.  Real-time forecasts of tomorrow's earthquakes in California , 2005, Nature.

[28]  J. Douglas Zechar,et al.  The Area Skill Score Statistic for Evaluating Earthquake Predictability Experiments , 2010 .

[29]  Kinichiro Kusunose,et al.  Fracture Mechanics of Rocks , 1995 .

[30]  M. Ishii,et al.  Anomalous aftershock decay rates in the first hundred seconds revealed from the Hi-net borehole data , 2004 .

[31]  C. L. ScttoLz MICROFRACTURES , AFTERSHOCKS , AND SEISMICITY BY , 2005 .

[32]  Y. Kagan,et al.  Probabilistic forecasting of earthquakes , 2000 .

[33]  Comparison of early aftershock sequences for the 2004 Mid-Niigata and 2007 Noto Hanto earthquakes in central Japan , 2008 .

[34]  Onset of power law aftershock decay rates in southern California , 2005 .

[35]  J. Douglas Zechar,et al.  Testing alarm‐based earthquake predictions , 2008 .

[36]  A Damage Mechanics Model for Aftershocks , 2004 .

[37]  Danijel Schorlemmer,et al.  First Results of the Regional Earthquake Likelihood Models Experiment , 2010 .

[38]  G. M. Molchan,et al.  Strategies in strong earthquake prediction , 1990 .

[39]  J. Vidale,et al.  Seismicity rate immediately before and after main shock rupture from high-frequency waveforms in Japan , 2007 .

[40]  J. Dieterich A constitutive law for rate of earthquake production and its application to earthquake clustering , 1994 .

[41]  A. A. Soloviev,et al.  Nonlinear dynamics of the lithosphere and earthquake prediction , 2003 .

[42]  T. Utsu A statistical study on the occurrence of aftershocks. , 1961 .

[43]  T. Jordan Earthquake Predictability, Brick by Brick , 2006 .

[44]  V. Kossobokov Testing earthquake prediction methods: «The West Pacific short-term forecast of earthquakes with magnitude MwHRV ≥ 5.8» , 2006 .