A mixed model for earthquake interevent times

作者：Talbi Abdelhak^*; Yamazaki Fumio

来源：Journal of Seismology, 2010, 14(2): 289-307.

DOI：10.1007/s10950-009-9166-y

• Recurrence times
• Distribution fit
• Mixed model
• Palm-Khintchine equations
• Power laws
• Scaling

A mixed model is proposed to fit earthquake interevent time distribution. In this model, the whole distribution is constructed by mixing the distribution of clustered seismicity, with a suitable distribution of background seismicity. Namely, the fit is tested assuming a clustered seismicity component modeled by a non-homogeneous Poisson process and a background component modeled using different hypothetical models (exponential, gamma and Weibull). For southern California, Japan, and Turkey, the best fit is found when a Weibull distribution is implemented as a model for background seismicity. Our study uses earthquake random sampling method we introduced recently. It is performed here to account for space-time clustering of earthquakes at different distances from a given source and to increase the number of samples used to estimate earthquake interevent time distribution and its power law scaling. For Japan, the contribution of clustered pairs of events to the whole distribution is analyzed for different magnitude cutoffs, m (c), and different time periods. The results show that power laws are mainly produced by the dominance of correlated pairs at small and long time ranges. In particular, both power laws, observed at short and long time ranges, can be attributed to time-space clustering revealed by the standard Gardner and Knopoff's declustering windows.

• 出版日期2010-4