Physics – Geophysics
Scientific paper
2007-12-08
Phys. Rev. Lett., 101, 018501, 2008
Physics
Geophysics
4 pages, 5 figures
Scientific paper
10.1103/PhysRevLett.101.018501
Earthquake aftershock identification is closely related to the question "Are aftershocks different from the rest of earthquakes?" We give a positive answer to this question and introduce a general statistical procedure for clustering analysis of seismicity that can be used, in particular, for aftershock detection. The proposed approach expands the analysis of Baiesi and Paczuski [PRE, 69, 066106 (2004)] based on the space-time-magnitude nearest-neighbor distance $\eta$ between earthquakes. We show that for a homogeneous Poisson marked point field with exponential marks, the distance $\eta$ has Weibull distribution, which bridges our results with classical correlation analysis for unmarked point fields. We introduce a 2D distribution of spatial and temporal components of $\eta$, which allows us to identify the clustered part of a point field. The proposed technique is applied to several synthetic seismicity models and to the observed seismicity of Southern California.
Gabrielov Andrei
Keilis-Borok Vladimir
Wong Henry
Zaliapin Ilya
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