Ergodicity and earthquake catalogs: Forecast testing and resulting implications

Pure and Applied Geophysics

Volumn 167, Issue 6, 2010, Pages 763-782

  Tiampo, K F ^a   Klein, W ^b   Li, H C ^c   Mignan, A ^d   Toya, Y ^a   Kohen Kadosh, S Z L ^a   Rundle, J B ^e   Chen, C C ^c  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b Boston University   (United States)

^c NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^d RISK MANAGEMENT SOLUTIONS   (United Kingdom)

^e UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Canadian seismicity; Earthquake forecasting; Ergodic behavior; PI method; Taiwanese seismicity; Thirumalai Mountain metric

Indexed keywords

EARTHQUAKE CATALOGUE; EARTHQUAKE MAGNITUDE; EARTHQUAKE PREDICTION; FAULT; FORECASTING METHOD; SEISMICITY;

CANADA; TAIWAN;

EID: 77954312236     PISSN: 00334553     EISSN: 14209136     Source Type: Journal    
DOI: 10.1007/s00024-010-0076-2     Document Type: Article

References (62)

1. Adams, J. E. and Basham, P. W. (1989), The seismicity and seismotectonics of Canada east of the Cordillera, Geoscience Canada 16, 3-16.
2. Bowman, D. D., Ouillon, G., Sammis, C. G., Sornette, A., and Sornette, D. (1998), An observational test of the critical earthquake concept, J. Geophys. Res. 103, 24, 359-24, 372.
3. Brehm, D. J. and Braile, L. W. (1998), Intermediate-term earthquake prediction using precursory events in the New Madrid Seismic Zone, Bull. Seismol. Soc. Am. 88, 564-580.
4. Bufe, C. G. and Varnes, D. J. (1993), Predictive modeling of the seismic cycle of the greater San Francisco Bat region, J. Geophys. Res. 98, 9871-9883.
5. Dieterich, J. (1994), A constitutive law for rate of earthquake production and its application to earthquake clustering, J. Geophys. Res. 99, 2601-2618.
6. Dieterich, J. H., Cayol, V., and Okubo, P. (2000), The use of earthquake rate changes as a stress meter at Kilauea volcano, Nature 408, 457-460.
7. Dodge, D. A., Beroza, G. C., and Ellsworth, W. L. (1996), Detailed observations of California foreshock sequences: Implications for the earthquake initiation process, J. Geophys. Res. 101, 22371-22392.
8. Evison, F. F. and Rhoades, D. A. (2004), Demarkation and scaling of long-term seismogenesis, Pure Appl. Geophys. 161, 21-45.
9. Felzer, K. R., Abercrombie, R. E., and Ekström, G. (2004), A common origin for aftershocks, foreshocks, and multiplets, Bull. Seismol. Soc. Am. 94, 88-98.
10. Ferguson, C. D., Klein, W., and Rundle, J. B. (1999), Spinodals, scaling, and ergodicity in a threshold model with long-range stress transfer, Phys. Rev. E 60, 1359-1374.
11. Guo, Z. and Ogata, Y. (1997), Statistical relations between the parameters of aftershocks in time, space, and magnitude, J. Geophys. Res. 102, 2857-2873.
12. Gutenberg, B. and Richter, C. F. (1944), Frequency of earthquakes in California, Bull. Seismol. Soc. Am. 34, 185-188.
13. Habermann, R. E. (1983), Teleseismic detection in the Aleutian Island Arc, J. Geophys. Res. 88, 5056-5064.
14. Habermann, R. E. (1987), Man-made changes of seismicity rates, Bull. Seism. Soc. Am. 77, 141-159.
15. Helmstetter, A., Kagan, Y. Y., and Jackson, D. D. (2005), Importance of small earthquakes for stress transfers and earthquake triggering, J. Geophys. Res. 110, doi: 10. 1029/2004JB003286.
16. Helmstetter, A., Ouillon, G., and Sornette, D. (2003), Are aftershocks of large Californian earthquakes diffusing? J. Geophys. Res. 108, doi: 10. 1029/2003JB002503.
17. Holliday, J., Chen, C., Tiampo, K. F., Rundle, J. B., and Turcotte, D. L. (2007), A RELM earthquake forecast based on pattern informatics, Seis. Res. Lt. 78, 87-93.
18. Holliday, J. R., Nanjo, K. Z., Tiampo, K. F., Rundle, J. B., Tiampo, K. F., and Turcotte, D. L. (2005), Earthquake forecasting and its verification, Nonlinear Processes in Geophys. 12, 965-977.
19. Holliday, J. R., Rundle, J. B., Tiampo, K. F., Klein, W., and Donnellan, A. (2006a), Systematic procedural and sensitivity analysis of the Pattern Informatics method for forecasting large (M > 5) earthquake events in southern California, Pure Appl. Geophys., doi: 10. 1007/s00024-006-0131-1.
20. Holliday, J. R., Rundle, J. B., Tiampo, K. F., and Turcotte, D. L. (2006b), Using earthquake intensities to forecast earthquake occurrence times, Nonlinear Processes in Geophysics 13, 585-593.
21. Holmes, P., Lumley, J. L., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge, University Press, U. K. 1996).
22. Jiménez, A., Tiampo, K. F., Levin, S., and Posadas, A. (2005), Testing the persistence in earthquake catalogs: The Iberian Peninsula, Europhys. Lett., doi: 10. 1209/epl/i2005-10383-8.
23. Jolliffe, I. T. and Stephenson, D. B., Forecast Verification: A Practitioner's Guide in Atmospheric Science (John Wiley, Hoboken, N. J. 2003).
24. Keilis-Borok, V. I. (1999), What comes next in the dynamics of lithosphere and earthquake prediction? Phys. Earth Planet. Int. 111, 179-185.
25. Klein, W., Rundle, J. B., and Ferguson, C. D. (1997), Scaling and nucleation in models of earthquake faults, Phys. Rev. Lett. 78, 3793-3796.
26. Marsan, D. (2003), Triggering of seismicity at short timescales following Californian earthquakes, J. Geophys. Res. 108, 2266, doi: 10. 1029/2002JB001946.
27. Matthews, M. V. and Reasenberg, P. (1987), Comment on Habermann's method for detecting seismicity rate changes, J. Geophys. Res. 92, 9443-9445.
28. Mignan, A. (2008a), The Non-Critical Precursory Accelerating Seismicity Theory (NC PAST) and limits of the power-law fit methodology, Tectonophysics 452, doi: 10. 1016/j. tecto. 2008. 02. 010.
29. Mignan, A. (2008b), The stress accumulation model: Accelerating moment release and seismic hazard, Adv. Geophys. 49, doi: 10. 1016/S0065-2687(07)49002-1.
30. Mignan, A., King, G. C. P., and Bowman, D. D. (2007), A mathematical formulation of accelerating moment release based on the Stress Accumulation model, J. Geophys. Res. 112, B07308, doi: 10. 1029/2006JB004671.
31. Mignan, A. and Tiampo, K. F. (2010), Testing the Pattern Informatics index on synthetic seismicity catalogues based on the Non-Critical PAST, Tectonophysics 483, 255-268, doi: 10. 1016/j. tecto. 2009. 10. 023.
32. Mogi, K. (1969), Some features of recent seismic activity in and near Japan (2), Activity before and after large earthquakes, Bull. Earthquake Res. Inst., Univ. Tokyo 47, 395-417.
33. Mogi, K. (1977), Seismic activity and earthquake predictions, Proc. Symp. on Earthquake Prediction, Seis. Soc. Japan, 203-214.
34. Mogi, K. (1979), Two kind of seismic gaps, Pure Appl. Geophys. 117, 1172-1186.
35. Moore, E. F. (1962), Machine models of self reproduction. In Proc. Fourteenth Symp. Appl. Math., 17-33.
36. Mori, H. and Kuramoto, Y. Dissipative Structures and Chaos (Springer-Verlag, Berlin 1998).
37. Mountain, R. M. and Thirumalai, D. (1992), Ergodicity and loss of dynamics in supercooled liquids, Phys. Rev. A 45, 3380-3383.
38. Ogata, Y. and Zhuang, J. (2006), Space-time ETAS models and an improved extension, Tectonophysics 413, 13-23.
39. Ogata, Y. (1992), Detection of precursory seismic quiescence before major earthquakes through a statistical model, J. Geophys. Res. 97, 19845-19871.
40. Okada, Y. (1992), Internal deformation due to shear and tensile faults in a half-space, Bull. Seismol. Soc. Am. 82, 1018-1040.
41. Orihara, Y., Noda, Y., Nagao, T., and Uyeda, S. (2002), A possible case of SES selectivity at Kozushima island, Japan, J. Geodyn. 33, 425-432.
42. w = 6. 9 Cythera earthquake in the Southwestern Aegean, Bull. Seismol. Soc. Am. 97, 347-352, doi: 10. 1785/0120060075.
43. Reasenberg, P. A. (1985). Second-order moment of central California seismicity, J. Geophys. Res. 90, 5479-5495.
44. Rundle, J. B., Klein, W., Tiampo, K. F., and Gross, S. (2000), Linear pattern dynamics of nonlinear threshold systems, Phys. Rev. E 61, 2418-2432.
45. Rundle, J. B., Tiampo, K. F., Klein, W., and Sá Martins, J. S. (2002), Self-organization in leaky threshold systems: The influence of near mean field dynamics and its implications for earthquakes, neurobiology and forecasting, Proc. National Acad. Sci., U. S. A., Suppl. 1, 99, 2463.
46. Savage, J. C. (1983), A dislocation model of strain accumulation and release at a subduction zone, J. Geophys. Res. 88, 4984-4996.
47. Shcherbakov, R., Turcotte, D. L., and Rundle, J. B. (2005), Aftershock statistics, Pure Appl. Geophys. 162, 1051-1076.
48. Thirumalai, D., Mountain, R. D., and Kirkpatrick, T. R. (1989), Ergodic behavior in supercooled liquids and in glasses, Phys. Rev. A 39, 3563-3574.
49. Thirumalai, D. and Mountain, R. D. (1993), Activated dynamics, loss of ergodicity, and transport in supercooled liquids, Phys. Rev. E 47, 479-489.
50. Tiampo, K. F., Rundle, J. B., Klein, W., Holliday, J., Sá Martins, J. S., and Ferguson, C. D. (2007), Ergodicity in natural earthquake fault networks, Phys. Rev. E 75, 066107.
51. Tiampo, K. F., Rundle, J. B., and Klein, W. (2006a), Premonitory seismicity changes prior to the Parkfield and Coalinga earthquakes in southern California, Tectonophysics 413, 77-86.
52. Tiampo, K. F., Rundle, J. B., and Klein, W. (2006b), Stress shadows determined from a phase dynamical measure of historic seismicity, Pure Appl. Geophys. doi: 10. 1007/200024-006-0134-y.
53. Tiampo, K. F., Rundle, J. B., Klein, W., Sá Martins, J. S., and Ferguson, C. D. (2003), Ergodic dynamics in a natural threshold system, Phys. Rev. Lett. 91, 238501.
54. Tiampo, K. F., Rundle, J. B., McGinnis, S., Gross, S., and Klein, W. (2002), Mean-field threshold systems and phase dynamics: An application to earthquake fault systems, Europhys. Lett. 60, 481-487.
55. Toda, S., Stein, R. S., and Sagiya, T. (2002), Evidence from the AD 2000 Izu Islands earthquake swarm that stressing rate governs seismicity, Nature 419, 58-61.
56. Toya, Y., Tiampo, K. F., Rundle, J. B., Chen, C., Li, H., and Klein, W. (2009), Pattern Informatics approach to earthquake forecasting in 3-D, Concurrency and Computation: Practice and Experience, doi: 10. 1002/cpe. 1531.
57. Utsu, T. (1961), A statistical study on the occurrence of aftershocks, Geophys. Mag. 30, 521-605.
58. Wiemer, S. (2005), A software package to analyze seismicity: ZMAP. (http://www. earthquake. ethz. ch/software/zmap).
59. Wiemer, S. and Wyss, M. (2000), Minimum magnitude of completeness in earthquake catalogs: Examples from Alaska, the Western United States, and Japan, Bull. Seismol. Soc. Am. 90, 859-869.
60. Wyss, M., and Wiemer, S. (1997), Two current seismic quiescences within 40 km of Tokyo, Geophys. J. Int. 128, 459-473.
61. Wu, Y.-M., Chang, C.-H., Zhao, L., Teng, T.-L., and Nakamura, M., (2008), A comprehensive relocation of earthquakes in Taiwan from 1991 to 2005, Bull Seismol. Soc. Am. 98, 1471-1481.
62. Zöller, G., Hainzl, S., and Kurths, J. (2000), Observation of growing correlation length as an indicator for critical point behavior prior to large earthquakes, J. Geophys. Res. 106, 2167-2175.