A non-stationary epidemic type aftershock sequence model for seismicity prior to the December 26, 2004 M 9.1 Sumatra-Andaman Islands mega-earthquake

Journal of Geophysical Research: Solid Earth

Volumn 118, Issue 2, 2013, Pages 616-629

  Bansal, A R ^a   Ogata, Y ^b,c  

^a NATIONAL GEOPHYSICAL RESEARCH INSTITUTE   (India)

^b INSTITUTE OF STATISTICAL MATHEMATICS   (Japan)

^c INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

AFTERSHOCK; EARTHQUAKE EPICENTER; MODELING; SEISMIC ZONE; SEISMICITY; SUMATRA EARTHQUAKE 2004;

ANDAMANS; ANDAMANS AND NICOBARS; GREATER SUNDA ISLANDS; INDIA; SUMATRA; SUNDA ISLES;

EID: 84881062968     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1002/jgrb.50068     Document Type: Article

References (58)

1. Akaike, H. (1974), A new look at the statistical model identification, IEEE Trans. Automat. Control., AC-19, 716-723.
2. Akaike, H. (1980). On the use of the predictive likelihood of a Gaussian model. Ann. Inst. Statist. Math., 32, 311-324. (http://www.ism.ac.jp/ editsec/aism/pdf/032-3-0311.pdf)
3. Ammon, C. J., H. Kanamori, and T. Lay (2008), A great earthquake doublet and seismic stress transfer cycle in the central Kuril islands, Nature, 451, doi: 10.1038/nature06521, 561-566.
4. Bansal, A. R., and Y. Ogata (2010), Seismicity activation before the megaearthquake of 26 December 2004 based on Epidemic type aftershock sequence (ETAS) model, AGU Fall Meeting Abstr., 1, 2084.
5. Bansal, A. R., V. P. Dimri, and K. K. Babu (2012), Epidemic type aftershock sequence (ETAS) modeling of northeastern Himalayan seismicity, J. Seismol., doi:10.1007/s10950-012-9314-7.
6. Billingsley, P. (1961), Convergence of Probability Measures, John Willey, New York.
7. Bufe, C. G., and D. J. Varnes (1993), Predictive modeling of the seismic cycle of the greater San Fransisco Bay region, J. Geophys. Res., 98, 9871-9883.
8. Cao, A. M., and S. S. Gao (2002), Temporal variation of seismic b-values beneath northeastern Japan island arc, Geophys. Res. Lett., 29, doi 10.1029/2001GL013775.
9. Dewey, J. W., G. Choy, B. Presgrave, S. Sipkin, A. C. Tarr, H. Benz, P. Earle, and D. Wald (2007), Seismicity associated with the Sumatra- Andaman Islands earthquake of 26 December 2004, Bull. Seism. Soc. Am., 97, S25-S42, doi: 10.1785/0120050626.
10. Gutenberg, R., and C. F. Richter (1944), Frequency of earthquakes in California, Bull. Seismol. Soc. Amer., 34, 185-188.
11. Habermann, R. E., and M. Wyss (1984), Earthquake triggering during the preparation for great earthquakes, Geophys. Res. Lett., 11, 291-294, doi:10.1029/GL011i004p00291.
12. Habermann, R. E. (1991), Seismicity rate variations and systematic changes in magnitudes in teleseismic catalogs, Tectonophysics, 193, 277-289
13. Helmstetter, A., Y. Y. Kagan and D. D. Jackson (2006) Comparison of short-term and time-independent earthquake forecast models for southern California. Bull. Seismol. Soc. Am., 96, 90-106.
14. JM (2004), Revision of JMA magnitude (in Japanese), Rep. Coor. Comm. Earthq. Predic. 71, 742-747.
15. Jordan, T. H., Y.-T. Chen, P. Gasparini, R. Madariaga, I. Main,W.Marzocchi, G. Papadopoulos, G. Sobolev, K. Yamaoka, and J. Zschau (2011), Operational earthquake forecasting. State of knowledge and guidelines for utilization, Ann. Geophys., 54(4), 315-391, doi: 10.4401/ag-5350 (http:// www.annalsofgeophysics.eu/index.php/annals/article/view/5350).
16. Kagan, Y. Y. (1991), Likelihood analysis of earthquake catalogues, Geophys. J. Int. 106(1), 135-148.
17. Kagan, Y. Y. and D. D. Jackson (1991), Long-term earthquake clustering, Geophys. J. Int. 104, 117-133.
18. Kagan, Y. Y., D. D. Jackson (2010), Short and long term earthquake forecasts for California and Nevada, Pure Appl. Geophys., 167, 685-692.
19. Kagan, Y. Y., P. Bird, and D. D. Jackson (2010), Earthquake patterns in diverse tectonic zones of the globe, Pure Appl. Geophys., 167, 721-741.
20. Keilis-Borok, V. I., and L. N. Malinovskaya (1964), One regularity in the occurrence of strong earthquakes, J. Geophys. Res., 70, 3019-3024.
21. Kisslinger, C. (1988), An experiment in earthquake prediction and the 7thMay 1986 Andrean of Islands earthquake. Bull. Seism. Soc. Am., 78, 218-229.
22. Kumazawa, T., Y. Ogata and S. Toda (2010), Precursory seismic anomalies and transient crustal deformation prior to the 2008 Mw =6.9 Iwate-Miyagi Nairiku, Japan, earthquake, J. Geophys. Res., 115,B10312, doi:10.1029/ 2010JB007567.
23. Llenos, A. L., J. J. McGuire, and Y. Ogata (2009), Modeling seismic swarms triggered by aseismic transients, Earth Planet. Sci. Lett., 281, 59-69, doi:10.1016/j.epsl.2009.02.011
24. Lombardi, A. M., and W. Marzocchi (2007), Evidence of clustering and nonstationarity in the time distribution of large worldwide earthquakes, J. Geophys. Res. 112, B02303, doi:10.1029/2006JB004568.
25. Marzocchi, W., and A. M. Lombardi (2008), A double branching model for earthquake occurrence, J. Geophys. Res., 113, B08317, doi:10.1029/ 2007JB005472.
26. Marzocchi, W., and A. M. Lombardi (2009), Real-time forecasting following a damaging earthquake, Geophys. Res. Lett., 36, L21302, doi:10.1029/ 2009GL040233.
27. McCloskey, J., S. S. Nalbant, and S. Steacy (2005), Indonesian earthquake: Earthquake risk from co-seismic stress, Nature, 434, 291-291.
28. Mogi, K. (1967), Regional variation of aftershock activity, Bull. Earthq. Res. Inst. Univ. Tokyo, 45, 711-726.
29. Mulargia, F., and S. Tinti (1985), Seismic sample areas defined from incomplete catalogues: An application to the Italian territory, Phys. Earth Planet. Inter., 40, 273-300.
30. Ogata, Y. (1988), Statistical models for earthquake occurrences and residual analysis for point processes, J. Amer. Statist. Assoc, 83, 9-27.
31. Ogata, Y. (1992), Detection of relative quiescence before great earthquakes, J. Geophys. Res., 97, 19,845-19,871.
32. Ogata, Y. (1998a), Quiescence relative to the ETAS model (in Japanese), in special issue on long-term earthquake forecasts, Zisin (J. Seismol. Soc. Jpn), 2nd series, 50, 115-127.
33. Ogata, Y. (1998b), Space-time point-process models for earthquake occurrences, Ann. Inst. Statist. Math. 50, 379-402.
34. Ogata, Y. (1999), Seismicity analysis through point-process modelling: A review, Pure Appl. Geophys., 155, 471-507.
35. Ogata, Y. (2001), Increased probability of large earthquakes near aftershock regions with relative quiescence, J. Geophys. Res., 106, 8729-8744.
36. Ogata, Y. (2004), Space-time model for regional seismicity and detection of crustal stress changes, J. Geophys. Res., 109, B03308, doi: 10.1029/ 2003JB002621.
37. Ogata, Y. (2005), Detection of anomalous seismicity as a stress change sensor, J. Geophys. Res., 110, BS05S06, doi:10.1029/2004JB003245.
38. Ogata, Y. (2006), Statistical analysis of seismicity - SASeis 2006, Computer Science Monographs, The institute of Statistical Mathematics, Tachikawa, Tokyo Japan.
39. Ogata, Y. (2011a), Pre-seismic anomalies in seismicity and crustal deformation: Case studies of the 2007 Noto Hanto earthquake of M 6.9 and the 2007 Chuetsu-Oki earthquake of M 6.8 after the 2004 Chuetsu earthquake of M 6.8, Geophys. J. Int., 186, 331-348, doi:10.1111/j.1365- 246X.201.05033.x.
40. Ogata, Y. (2011b), Significant improvements of the space-time ETAS model for forecasting of accurate baseline seismicity, Earth, Planets and Space, 63, 217-229, doi:10.5047/eps.2010.09.001.
41. Ogata, Y., and K. Abe (1991), Some statistical features of the long-term variation of the global and regional seismic activity, Int. Statist. Rev., 59, 139-161.
42. Ogata, Y., K. Katsura, and M. Tanemura (2003), Modelling heterogeneous space-time occurrences of earthquakes and its residual analysis, Appl. Stat. (J. Roy. Statist. Soc. Ser. C), 52, 499-509.
43. Parsons, T. (2002), Global Omori law decay of triggered earthquakes: Large aftershocks outside the classical aftershock zone, J. Geophys. Res. 107, 2199, doi:10.1029/2001JB000646.
44. Shorlemmer, D., and J. Woessner (2008), Probability of detecting an earthquake, Bull. Seism. Soc. Am., 98(5), 2103-2117, doi:10.1785/0120070105.
45. Subarya, C., M. Chileh, L. Prawirodirdjo, J. P. Avouac, Y. Bock, K. Sieh, A. J. Meltzner, D. H. Natawidjaja, and R. McCaffrey (2006), Plateboundary deformation associated with the great Sumatra-Andaman earthquake, Nature, 440, 46-51.
46. Utsu, T. (1961), Statistical study on the occurrence of aftershocks. Geophys. Mag., 30, 521-605.
47. Utsu, T. (1969), Aftershocks and earthquake statistics (I): Some parameters which characterize an aftershock sequence and their interaction. J. Fac. Sci. Hokkaido Univ. VII, 3, 129-195.
48. Utsu, T. (1982), Relationships between earthquake magnitude scales (in Japanese), Bull. Earthq. Res. Inst., Univ. Tokyo, 57, 465-497.
49. Utsu, T., Y. Ogata, and R. S. Matsu'ura (1995). The centenary of the Omori formula for a decay law of aftershock activity, J. Phys. Earth, 43, 1-33.
50. van Stiphout, T., S. Wiemer, and W. Marzocchi (2010), Are short-term evacuations warranted? Case of the 2009 L'Aquila earthquake, Geophys. Res. Lett., 37, L06306, doi:10.1029/2009GL042352.
51. Wang, Q., F. P. Schoenberg, and D. D. Jackson (2010a), Standard errors of parameter estimates in the ETAS Model, Bull. Seism. Soc. Am., 100, 1989-2001.
52. Wang, Q., D. D. Jackson, and J. Zhuang (2010b), Missing links in earthquake clustering models, Geophys. Res. Lett., 37, L121307, doi:10.1029/2010GL044858.
53. Wiemer, S. and M. Wyss (2000), Minimum magnitude of completeness in earthquake catalogs: Examples from Alaska, the Western United States, and Japan, Bull. Seism. Soc. Am., 90, 859-869.
54. Woessner, J., and S. Wiemer (2005), Assessing the quality of earthquake catalogues: Estimating the magnitude of completeness and its uncertainty, Bull. Seism. Soc. Am., 95, 684-698, doi: 10.1785/0120040007.
55. Wu, Y.-H., C. Chen, and J. B. Rundle (2008), Detecting precursory earthquake migration patterns using the pattern informatics method, Geophys. Res. Lett., 35, L19304, doi:10.1029/2008GL035215.
56. Wyss, M., R. Console, and M. Murru (1997), Seismic rate change before the Irpinia (M= 6.9) 1980 earthquake, Bull. Seism. Soc. Am., 87, 318-326.
57. Zhuang, J., Y. Ogata, and D. Vere-Jones (2002), Stochastic declustering of space-time earthquake occurrences, J. Amer. Statist. Assoc., 97, 369-380.
58. Zhuang, J., Y. Ogata, and D. Vere-Jones (2004), Analyzing earthquake clustering features by using stochastic reconstruction, J. Geophys. Res., 109, B05301, doi:10.1029/2003JB002879.