Statistics
Scientific paper
Jul 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000geoji.142...59w&link_type=abstract
Geophysical Journal International, Volume 142, Issue 1, pp. 59-66.
Statistics
5
Earthquake Energy, Frequency, Ize Distribution, Rank-Ordering Statistics, Self-Organized Criticality
Scientific paper
The frequency-energy distribution of global seismicity is studied using broad-band radiated energy of shallow earthquakes from January 1987 to December 1994 estimated by NEIC. Rank-ordering statistics are applied to enhance the resolution in retrieving the power-law distribution with undersampled data, namely a few tens of events. Seen in the perspective of broad-band radiated energy with higher resolution, a single (Gutenberg-Richter-type) power-law distribution can fit the data. For earthquakes with energy larger than 1014J, the number N of events with energy E depends on E via N~E-B, with the scaling constant B=0.64+/-0.04, corresponding to b=0.95+/-0.06. This relation is different from that of scalar seismic moment, which shows a transition of power-law distributions between small and large earthquakes. To demonstrate such a difference we use the same set of earthquakes with both broad-band energy estimation and CMT estimation. It is found that for the same data set, the energy distribution and the moment distribution show different patterns. The moment distribution has a clear kink between small and large earthquakes, while the energy distribution shows a single power law with no convincing kink between small and large earthquakes. To investigate the effect of different focal mechanisms and different seismic regions, events with strike-slip mechanisms and events within the Japan-Kuril region are considered. For these subsets of events, a similar pattern exists, in which the moment distribution shows a kink between small and large earthquakes, while the energy distribution shows a single power law.
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