Mixture models for improved earthquake forecasting with short-to-medium time horizons

Bulletin of the Seismological Society of America

Volumn 103, Issue 4, 2013, Pages 2203-2215

  Rhoades, David A ^a  

^a GNS SCIENCE   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTERING MODEL; COMPONENT MODEL; EARTHQUAKE FORECASTING; EARTHQUAKE LIKELIHOOD MODELS; INDIVIDUAL MODELS; INFORMATION GAIN; MODEL PARAMETERS; OPTIMAL MIXTURES;

FORECASTING; MIXTURES; OPTIMIZATION;

EARTHQUAKES;

AFTERSHOCK; EARTHQUAKE CATALOGUE; EARTHQUAKE MAGNITUDE; EARTHQUAKE PREDICTION; SEISMICITY;

CALIFORNIA; NEW ZEALAND; UNITED STATES;

EID: 84881055095     PISSN: 00371106     EISSN: 19433573     Source Type: Journal    
DOI: 10.1785/0120120233     Document Type: Article

References (44)

1. Akaike, H. (1974). A new look at the statistical model identification, IEEE Trans. Automat. Contr. 19, 716-723.
2. Burnham, K. P., and D. R. Anderson (2004). Multimodel inference: Understanding AIC and BIC in model selection, Sociol. Meth. Res. 33, 261-304.
3. Console, R., D. A. Rhoades, M. Murru, F. F. Evison, E. E. Papadimitriou, and V. G. Karakostas (2006). Comparative performance of time-invariant, long-range and short-range forecasting models on the earthquake catalog of Greece, J. Geophys. Res. 111, B09304, doi: 10.1029/ 2005JB004113.
4. Evison, F. F. (1977). The precursory earthquake swarm, Phys. Earth Planet. Int. 15, 19-23.
5. Evison, F. F. (1982). Generalised precursory swarm hypothesis, J. Phys. Earth 30, 155-170.
6. Evison, F. F., and D. A. Rhoades (1998). Long-term seismogenic process for major earthquakes in subduction zones, Phys. Earth Planet. In. 108, 185-199.
7. Evison, F. F., and D. A. Rhoades (1999). The precursory earthquake swarm in Japan: Hypothesis test, Earth Planets Space 51, 1267-1277.
8. Evison, F. F., and D. A. Rhoades (2000). The precursory earthquake swarm in Greece, Ann. Geophys. 43, 991-1009.
9. Evison, F. F., and D. A. Rhoades (2001). Model of long-term seismogenesis, Ann. Geophys. 44, 81-93.
10. Evison, F. F., and D. A. Rhoades (2002). Precursory scale increase and long-term seismogenesis in California and northern Mexico, Ann. Geo-phys. 45, 479-495
11. Evison, F. F., and D. A. Rhoades (2004a). Demarcation and scaling of long-term seismogenesis, Pure Appl. Geophys. 161, 21-45, doi: 10.1007/s00024-003-2435-8
12. Evison, F., and D. Rhoades (2004b). Long-term seismogenesis and self-organized criticality, Earth Planets Space 56, no. 8, 749-760.
13. Field, E. H. (2007). Overview of the working group for the development of regional earthquake likelihood models (RELM), Seismol. Res. Lett. 78, no. 1, 7-16, doi: 10.1785/gssrl.78.1.7.
14. Gerstenberger, M. C., and D. A. Rhoades (2010). New Zealand Earthquake Forecast Testing Centre, Pure Appl. Geophys. 167, 877-892, doi: 0.1007/s00024-010-0082-4
15. Gutenberg, B., and C. F. Richter (1944). Frequency of earthquakes in California, Bull. Seismol. Soc. Am. 34, 185-188.
16. Harte, D. S. (2013). Bias in fitting the ETAS model: A case study based on New Zealand seismicity, Geophys. J. Int. 192, 390-412, doi:10.1093/gji/ggs026.
17. Helmstetter, A., and D. Sornette (2003). Foreshocks explained by cascades of triggered seismicity, J. Geophys. Res. 108, no. B10, 2457, doi:10.1029/2003JB002409.
18. Hurvich, C. M., and C.-L. Tsai (1989). Regression and time series model selection in small samples, Biometrika 76, 297-307.
19. Jackson, D. D., and Y. Y. Kagan (1999). Testable earthquake forecasts for 1999, Seismol. Res. Lett. 70, no. 4, 393-403.
20. Jordan, T. H. (2006). Earthquake predictability, brick by brick, Seismol. Res. Lett. 77, no. 10, 3-6, doi: 10.1785/gssrl.77.1.3.
21. Nanjo, K. Z., H. Tsuruoka, N. Hirata, and T. H. Jordan (2011). Overview of the first earthquake forecast testing experiment in Japan, Earth Planets Space 63, 159-169, doi: 10.5047/eps.2010.10.003.
22. Nelder, J. A., and R. Mead (1965). A simplex method for function minimization, Comput. J. 7, 308-313.
23. Ogata, Y. (1998). Space-time point process models for earthquake occurrences, Ann. Inst. Stat. Math. 50, 379-402.
24. Ogata, Y. (2004). Space-time model for regional seismicity and detection of crustal stress changes, J. Geophys. Res. 109, B03308, doi: 10.1029/2003JB002621.
25. Papadimitriou, E. E., F. F. Evison, D. A. Rhoades, V. G. Karakostas, R. Console, and M. Murru (2006). Long-term seismogenesis in Greece: Comparison of the evolving stress field and precursory scale increase approaches, J. Geophys. Res. 111, B05318, doi: 10.1029/2005JB003805.
26. Rhoades, D. A. (2007). Application of the EEPAS model to forecasting earthquakes of moderate magnitude in southern California, Seismol. Res. Lett. 78, 111-115, doi: 10.1785/gssrl.78.1.110.
27. Rhoades, D. A. (2009). Long-range earthquake forecasting allowing for aftershocks, Geophys. J. Int. 178, 244-256, doi: 10.1111/j.1365-246X.2008.04083.x.
28. Rhoades, D. A. (2010). Lessons and questions from thirty years of testing the precursory swarm hypothesis, Pure Appl. Geophys. 167, 629-644, doi: 10.1007/s00024-010-0071-7.
29. Rhoades, D. A., and F. F. Evison (2004). Long-range earthquake forecasting with every earthquake a precursor according to scale, Pure Appl. Geophys. 161, 47-72, doi: 10.1007/s00024-003-2434-9.
30. Rhoades, D. A., and F. F. Evison (2005). Test of the EEPAS forecasting model on the Japan earthquake catalogue, Pure Appl. Geophys. 162, 1271-1290, doi: 10.1007/s00024-004-2669-0.
31. Rhoades, D. A., and F. F. Evison (2006). The EEPAS forecasting model and the probability of moderate-to-large earthquakes in central Japan, Tectonophysics 417, 119-130, doi: 10.1016/j.tecto.2005.05.051.
32. Rhoades, D. A., and M. C. Gerstenberger (2009). Mixture models for improved short-term earthquake forecasting, Bull. Seismol. Soc. Am. 99, 636-646, doi: 10.1785/0120080063.
33. Rhoades, D. A., R. Robinson, and M. C. Gerstenberger (2011). Long-range predictability in physics-based synthetic earthquake catalogues, Geo-phys. J. Int. 185, 1037-1048, doi: 10.1111/j.1365-246X.2011.04993.x.
34. Rhoades, D. A., D. Schorlemmer, M. C. Gerstenberger, A. Christophersen, J. D. Zechar, and M. Imoto (2011). Efficient testing of earthquake forecasting models, Acta Geophys. 59, 728-747, doi: 10.2478/s11600-011-0013-5.
35. Rhoades, D. A., P. G. Somerville, F. Dimer de Oliveira, and H. K. Thio (2012). Effect of tectonic setting on the fit and performance of a long-range forecasting model, Res. Geophys. 2, no. 1, doi: 10.4081/ rg.2012.e3.
36. Schorlemmer, D., and M. C. Gerstenberger (2007). RELM testing center, Seismol. Res. Lett. 78, 30-36, doi: 10.1785/gssrl.78.1.30.
37. Schorlemmer, D., A. Christophersen, A. Rovida, F. Mele, M. Stucchi, and W. Marzocchi (2010). Setting up an earthquake forecast experiment in Italy, Ann. Geophys. 53, 1-9, doi: 10.4401/ag-4844.
38. Schorlemmer, D., M. C. Gerstenberger, S. Wiemer, D. D. Jackson, and D. A. Rhoades (2007). Earthquake likelihood model testing, Seismol. Res. Lett. 78, 17-29, doi: 10.1785/gssrl.78.1.17.
39. Touati, S., M. Naylor, I. G. Main, and M. Christie (2011). Masking of earthquake triggering behavior by a high background rate and implications for epidemic-type aftershock sequence inversions, J. Geophys. Res. 116, B03304, doi: 10.1029/2010JB007544.
40. Utsu, T. (1961). A statistical study on the occurrence of aftershocks, Geophys. Mag. 30, 521-605.
41. 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.
42. Werner, M., J. Zechar, W. Marzocchi, and S. Wiemer (2010). Retrospective evaluation of the five-year and ten-year CSEP-Italy earthquake forecasts, Ann. Geophys. 53, 11-30, doi: 10.4401/ag-4840.
43. Zechar, J., M. Gerstenberger, and D. Rhoades (2010). Likelihood-based tests for evaluating space-rate-magnitude earthquake forecasts, Bull. Seismol. Soc. Am. 100, 1184-1195, doi: 10.1785/0120090192.
44. Zechar, J., D. Schorlemmer, M. Liukis, J. Yu, F. Euchner, P. Maechling, and T. Jordan (2010). The Collaboratory for the Study of Earthquake Predictability perspective on computational earthquake science, Concurrency Comput. Pract. Ex. 22, 1836-1847, doi: 10.1002/cpe.1519.