Statistical analysis of the spatial distribution of earthquakes-variation of the spatial distribution of earthquakes before and after large earthquakes

Details Statistical analysis of the spatial distribution of earthquakes-variation of the spatial distribution of earthquakes before and after large earthquakes Statistical analysis of the spatial distribution of earthquakes-variation of the spatial distribution of earthquakes before and after large earthquakes

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986pepi...44..211o&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 44, Issue 3, p. 211-225.

Physics

25

Scientific paper

We have investigated the spatial distribution of earthquakes using the Pólya-Eggenberger model and the Morishita index which is used for the analysis of the spatial dispersion of bio-species. First, we found that the spatial distribution of earthquakes is characterised by clustering. When we divide the certain area into equal area meshes, the frequency distribution of meshes with same number of events fits well to the Pólya-Eggenberger model. On the basis of this result, we examined the degree of spatial clustering of earthquakes, by using the Morishita index defined by Iδ=QΣi=1Q ni(ni-1)/N(N-1). Where Q, N and ni are the numbers of meshes, total events and events of the i-th mesh, respectively. The index Iδ corresponds to the contagious coefficient plus 1 in the Pólya-Eggenberger statistics. The dependence of Iδ on the mesh size provides information about clustering. We analysed the actual distribution patterns of earthquakes before and after the Miyagi-oki (1978, M = 7.4), the Tokachi-oki (1968, M = 7.9) and the Nihonkai-chubu (1983, M = 7.7) earthquakes. Large scale clusters of about 50-100 km are dominant in the aftershock sequences. After the aftershock activity, earthquakes tend to distribute randomly. Prior to large earthquakes, small patches of 10-20 km are created. This statistical feature of the earthquake distribution seems to be related to the phenomena of the precursory clusterings of earthquakes, doughnut patterns, preseismic quiescence and foreshocks prior to large earthquakes.

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