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Random field characteristics of seismic zoning map
Authors:Meng-Tan Gao and Hua Pan
Institution:(1) Institute of Geophysics, State Seismological Bureau, 100081 Beijing, China
Abstract:How to test the reasonability of the seismic zoning map with probabilistic means is the most concerned problem. So far, there were no good methods to test zoning map using actual intensity data. Firstly, the author suggest the concept of random field, then proved that the average value of the randomifield is ergodic by using Monte Carlo method, therefor the spatial average tend to be the average of the random field with probability of the zoning map. Thus, a method of testing seismic zoning map with probabilistic means using spatial distributing samples of intensity caused by actual earthquakes was provided. The Chinese seismic zoning map made in 1990 was tested using recent 15 years and 50 years intensity samples. The results shows that this zoning map is reasonable. The method provided in this paper can be used in other circumstance in which random field methods were used. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,15, 53–60, 1993.
Keywords:random field  seismic zoning map  intensity  spatial average  probability
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