relation: https://episodesplatform.eu/eprints/195/ title: Clustering Analysis of Seismicity and Aftershock Identification creator: Zaliapin, Ilya creator: Gabrielov, Andrei creator: Keilis-Borok, Vladimir creator: Wong, Henry subject: Clustering and migration description: 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. publisher: The American Physical Society date: 2008-07 type: Article type: PeerReviewed identifier: 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 <https://doi.org/10.1103/PhysRevLett.101.018501> relation: http://dx.doi.org/10.1103/PhysRevLett.101.018501 relation: doi:10.1103/PhysRevLett.101.018501