Space-time ETAS models and an improved extension

Tectonophysics

Volumn 413, Issue 1-2, 2006, Pages 13-23

  Ogata, Yosihiko ^a   Zhuang, Jiancang ^a  

^a INSTITUTE OF STATISTICAL MATHEMATICS   (Japan)

Author keywords

Aftershock areas; Background seismicity; Earthquake clusters; ETAS model; Modified Omori law; Space time seismicity model; Triggering

Indexed keywords

AFTERSHOCK; EARTHQUAKE SWARM; STATISTICAL ANALYSIS; TRIGGER MECHANISM;

EID: 30944459507     PISSN: 00401951     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tecto.2005.10.016     Document Type: Article

References (54)

1. H. Akaike A new look at the statistical model identification IEEE Trans. Automat. Contr. AC-19 1974 716-723
2. R. Console M. Murru A simple and testable model for earthquake clustering J. Geophys. Res. 106 2001 8699-8711
3. R. Console M. Murru A.M. Lombardi Refining earthquake clustering models J. Geophys. Res. 108 2003 2468 10.1029/2002JB002130
4. D.J. Daley D. Vere-Jones second edition An Introduction to the Theory of Point Processes vol. 1 2002 Springer-Verlag New York
5. A.M. Dziewonski T.A. Chou J.H. Woodhouse Determination of earthquake source parameters from waveform data for studies of global and regional seismicity J. Geophys. Res. 86 1981 2825-2852
6. F.F. Evison The precursory earthquake swarm Phys. Earth Planet. Inter. 15 1977 19-23
7. K.R. Felzer T.W. Becker R.E. Abercrombie G. Ekstrom J.R. Rice Triggering of the 1999 Mw7.1 Hector mine earthquake by aftershocks of the 1992 Mw7.3 Landers earthquake J. Geophys. Res. 107 2002 2190 10.1029/ 2001JB000911
8. Z. Guo Y. Ogata Statistical relations between the parameters of aftershocks in time, space and magnitude J. Geophys. Res. 102 1997 2857-2873
9. A. Helmstetter D. Sornette Subcritical and supercritical regimes in epidemic models of earthquake aftershocks J. Geophys. Res. 107 2002 2237 10.1029/2001JB001580
10. W. Inouye On the seismicity in the epicentral region and its neighborhood before the Niigata earthquake (in Japanese) Kenshin-jiho (Quarterly J. Seismol.) 29 1965 139-144
11. Y.Y. Kagan Likelihood analysis of earthquake catalogues J. Geophys. Res. 106 1991 135-148
12. H. Kanamori The nature of seismicity patterns before large earthquakes D. Simpson P. Richards Earthquake Prediction, Maurice Ewing Series vol. 4 1981 American Geophysical Union Washington 1-19
13. V.I. Keilis-Borok L.N. Malinovskaya One regularity in the occurrence of strong earthquakes J. Geophys. Res. 70 1964 3019-3024
14. C. Kisslinger An experiment in earthquake prediction and the 7th May 1986 Andreanof Islands Earthquake Bull. Seismol. Soc. Am. 78 1988 218-229
15. C. Lomnitz F.A. Nava The predictive value of seismic gaps Bull. Seismol. Soc. Am. 73 1983 1815-1824
16. F. Musmeci D. Vere-Jones A space-time clustering model for historical earthquakes Ann. Inst. Stat. Math. 44 1992 1-11
17. F. Omori On the aftershocks of earthquakes J. Coll. Sci., Imp. Univ. Tokyo 7 1894 111-200
18. Y. Ogata On Lewis' simulation method for point processes IEEE Trans. Inf. Theory IT-27 1981 23-31
19. Y. Ogata Estimation of the parameters in the modified Omori formula for aftershock frequencies by the maximum likelihood procedure J. Phys. Earth 31 1983 115-124
20. Y. Ogata Statistical models for earthquake occurrences and residual analysis for point processes J. Am. Stat. Assoc. 83 1988 9-27
21. Y. Ogata Statistical model for standard seismicity and detection of anomalies by residual analysis Tectonophysics 169 1989 159-174
22. Y. Ogata Detection of precursory seismic quiescence before major earthquakes through a statistical model J. Geophys. Res. 97 1992 19845-19871
23. Y. Ogata Space-time modelling of earthquake occurrences Bull. Int. Statist. Inst. 55 Book 2 1993 249-250
24. Y. Ogata Space-time point-process models for earthquake occurrences Ann. Inst. Stat. Math. 50 1998 379-402
25. Y. Ogata Increased probability of large earthquakes near aftershock regions with relative quiescence J. Geophys. Res. 106 2001 8729-8744
26. Y. Ogata Space-time model for regional seismicity and detection of crustal stress changes J. Geophys. Res. 109 B3 2004 B03308 10.1029/ 2003JB002621
27. Y. Ogata K. Katsura Analysis of temporal and spatial heterogeneity of magnitude frequency distribution inferred from earthquake catalogues Geophys. J. Int. 113 1993 727-738
28. Y. Ogata K. Shimazaki Transition from aftershock to normal activity: The 1965 Rat Islands earthquake aftershock sequence Bull. Seismol. Soc. Am. 74 1984 1757-1765
29. Y. Ogata T. Utsu K. Katsura Statistical features of foreshocks in comparison with other earthquake clusters Geophys. J. Int. 121 1995 233-254
30. Y. Ogata L.M. Jones S. Toda When and where the aftershock activity was depressed: Contrasting decay patterns of the proximate large earthquakes in southern California J. Geophys. Res. 108 2003 2318 10.1029/ 2002JB002009
31. Y. Ogata K. Katsura M. Tanemura Modelling of heterogeneous space-time seismic activity and its residual analysis Appl. Stat. 52 2003 499-509
32. M. Ohtake Earthquake prediction based on the seismic gap with special reference to the 1978 Oaxaca, Mexico earthquake (in Japanese) Report of the National Research Center for Disaster Prevention vol. 23 1980 65-110
33. M. Ohtake T. Matumoto G.V. Latham Seismicity gap near Oaxaca, southern Mexico as a probable precursor to a large earthquake Pure Appl. Geophys. 115 1977 375-385
34. S.L. Rathbun Modeling marked spatio-temporal point patterns Bull. Int. Statist. Inst. 55 Book 2 1993 379-396
35. S.L. Rathbun Asymptotic properties of the maximum likelihood estimator for spatio-temporal point processes In Special Issue on Spatial Statistic of J. Statist. Plann. Inf. vol. 51 1994 55-74
36. P.A. Reasenberg L.M. Jones Earthquake aftershocks: Update Science 265 1994 1251-1252
37. Schoenberg, R.P., 1997. Assessment of Multi-dimensional Point Processes, Ph.D. Thesis, University of California, Berkeley.
38. C.H. Scholz The Mechanics of Earthquakes and Faulting 1990 Cambridge University Press Cambridge, UK 439 pp.
39. H. Sekiya The seismicity preceding earthquakes and its significance in earthquake prediction (in Japanese) Zisin II (J. Seismol. Soc. Japan) 29 1976 299-312
40. K. Shimazaki Small and large earthquakes: The effects of thickness of seismogenetic layer and the free surface S. Das J. Boatwright C. Scholz Earthquake Source Mechanics AGU Geophys. Mono. vol. 37 1986 American Geophysical Washington, D.C. 119-144
41. L.R. Sykes S.C. Jaume Seismic activity on neighboring faults as a long-term precursor to large earthquakes in the San Francisco bay area Nature 348 1990 595-599
42. T. Utsu Magnitude of earthquakes and occurrence of their aftershocks (in Japanese) Zisin II (J. Seismol. Soc. Japan) 10 1957 35-45
43. T. Utsu Statistical study on the occurrence of aftershocks Geophys. Mag. 30 1961 521-605
44. T. Utsu Seismic activity in Hokkaido and its vicinity (in Japanese) Geophys. Bull. Hokkaido Univ. 13 1968 99-103
45. T. Utsu Aftershocks and earthquake statistics (I): Some parameters which characterize an aftershock sequence and their interrelations J. Fac. Sci., Hokkaido Univ., Ser. VII (geophysics) 3 1969 129-195
46. T. Utsu Aftershocks and earthquake statistics (II): Further investigation of aftershocks and other earthquake sequences based on a new classification of earthquake sequences J. Fac. Sci., Hokkaido Univ., Ser. VII (geophysics) 3 1970 198-266
47. T. Utsu Y. Ogata Statistical Analysis of Seismicity (SASeis) for Seismicity, IASPEI Software Library International Association of Seismology and Physics of the Earth's Interior vol. 6 1997 13-94
48. T. Utsu A. Seki Relation between the area of aftershock region and the energy of the main shock (in Japanese) Zisin (J. Seismol. Soc. Japan), 2nd Ser., ii 7 1955 233-240
49. T. Utsu Y. Ogata R.S. Matsu'ura The centenary of the Omori formula for a decay law of aftershock activity J. Phys. Earth 43 1995 1-33
50. M. Wyss R.O. Burford Occurrence of a predicted earthquake on the San Andreas fault Nature 329 1987 323-325
51. D. Vere-Jones Statistical methods for the description and display of earthquake catalogues A. Walden P. Guttorp Statistics in the Environmental and Earth Sciences 1992 Edward Arnold London 220-236
52. Y. Yamanaka K. Shimazaki Scaling relationship between the number of after-shocks and the size of the main shock J. Phys. Earth 38 1990 305-324
53. J. Zhuang Y. Ogata D. Vere-Jones Stochastic declustering of space-time earthquake occurrences J. Am. Stat. Assoc. 97 2002 369-380
54. J. Zhuang Y. Ogata D. Vere-Jones Analyzing earthquake clustering features by using stochastic reconstruction J. Geophys. Res. 109 B5 2004 B05301 10.1029/2003JB002879