Interevent Time Distribution in Seismicity: A Theoretical Approach |
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| Authors: | G Molchan |
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| Institution: | (1) International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Warshavskoe shosse, 79, k.2, 117556, Moscow;(2) The Abdus Salam International Centre for Theoretical Physics, SAND Group, Trieste, Italy |
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| Abstract: | This paper presents an analysis of the distribution of the time τ between two consecutive events in a stationary point process.
The study is motivated by the discovery of unified scaling laws for τ for the case of seismic events. We demonstrate that
these laws cannot exist simultaneously in a seismogenic area. Under very natural assumptions we show that if, after rescaling
to ensure Eτ =1, the interevent time has a universal distribution F, then F must be exponential. In other words, Corral’s unified scaling law cannot exist in the whole range of time. In the framework
of a general cluster model we discuss the parameterization of an empirical unified law and the physical meaning of the parameters
involved.
An erratum to this article is available at . |
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| Keywords: | Statistical seismology point processes self-similarity |
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