[S-SS11] Statistical seismology and underlying physical processes

[SSS11-04] Prediction and validation of short- to long-term earthquake probabilities in inland Japan using the hierarchical space-time ETAS and space-time Poisson process models

*Yosihiko Ogata¹ (1.Research Organization of Information and Systems, The Institute of Statistical Mathematics)

Keywords:Akaike Bayesian Criterion (ABIC), Anisotoropic aftershock clustering, Maximum posterior distributions, Plug-in probability forecasts, Cross validation, Log likelihood scores (information gains)

A hierarchical space-temporal version of the epidemic type aftershock sequence (HIST-ETAS) model was constructed for an optimally adapted fit to diverse seismicity features characterized by anisotropic clustering as well as regionally distinct parameters. This manuscript validates this elaborate model for short-term prediction based on several years of recent inland Japan earthquakes, as a testing dataset, by evaluating the results using a log-likelihood ratio score, or called by information gain. To consider intermediate- and long-term performance, several types of space-time Poisson models are compared with the background seismicity rate of the HIST-ETAS model. Results show firstly that the HIST-ETAS model has the best short-term prediction results for earthquakes in the range of magnitudes from M4.0 to M5.0, although, for the larger earthquakes, sufficient such earthquake data within a few years is lacking to evaluate the performance. Second, for intermediate-term predictions, the optimal spatial nonuniform Poisson intensity model has a better forecast performance than the seismic background intensity of the HIST-ETAS model, while the uniform rate Poisson model throughout the entire inland Japan has the worst forecast performance. For earthquakes of M6 or larger, the performance of retrospective long-term forecasts was tested in two ways. First, a retrospective forecasting experiment divided the entire period from 1885 to the present into two parts, with the recent ~30 years as the forecast period. Second, the historical damaging earthquake data (599–1884) were spatially validated using century data from 1885 to the present. In both validations, it was determined that the spatial intensity of the inland background seismic activity of the HIST-ETAS model is much better than the best-fit nonuniform Poisson spatial model, leading to the best results. The findings of this study will be critical for regional earthquake hazard planning in Japan and similar locations worldwide.