We propose an earthquake clustering model based on the popular concept of epidemic models. In these models every earthquake can be regarded as both triggered by previous events and as a potential triggering event for subsequent earthquakes (Ogata 1988, 1998; Ogata and Zhuang 2006 and reference therein; Console and Murru 2001; Console et al. 2003; Console et al.2006a, 2006b; Helmstetter and Sornette 2002a, 2002b, 2003 for reviews; and Vere-Jones 2006 for review on the use of stochastic models for earthquake occurrence). The occurrence-rate density at any time and geographical location is...

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