Statistical analysis of fractal properties of point processes modeling seismic sequences

Fractal stochastic point processes are described by power-law statistics, and therefore, are suited to model the time-occurrence sequence of seismic events, that are generally characterized by a time-clustering phenomenon. In this paper we quantified the temporal clustering in earthquake sequences by means of the Fano factor and the Allan factor, that can be used to reveal the fractality of such processes. These methods are applied to model the fractality of the 1983-1997 seismicity of one of the most seismically active area of southern Apennine Chain (southern Italy), that has shown the presence of temporal clusterization.