Clustering Analysis of Seismicity and Aftershock Identification

Zaliapin, Ilya and Gabrielov, Andrei and Keilis-Borok, Vladimir and Wong, Henry (2008) Clustering Analysis of Seismicity and Aftershock Identification. Physical Review Letters, 101 (1). DOI: https://doi.org/10.1103/PhysRevLett.101.018501

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.101.018501

Abstract

We introduce a statistical methodology for clustering analysis of seismicity in the time-space-energy domain and use it to establish the existence of two statistically distinct populations of earthquakes: clustered and nonclustered. This result can be used, in particular, for nonparametric aftershock identification. The proposed approach expands the analysis of Baiesi and Paczuski [Phys. Rev. E 69, 066106 (2004)] based on the space-time-magnitude nearest-neighbor distance η between earthquakes. We show that for a homogeneous Poisson marked point field with exponential marks, the distance η has the Weibull distribution, which bridges our results with classical correlation analysis for point fields. The joint 2D distribution of spatial and temporal components of η is used to identify the clustered part of a point field. The proposed technique is applied to several seismicity models and to the observed seismicity of southern California.

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Item Type: Article
Subjects: Methodology > Method and procesing > Collective properties of seismicity > Clustering and migration
Project: IS-EPOS project