Rescaled range ( R/S ) analysis on seismic activity parameters |
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Authors: | Li Juan and Chen Yong |
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Institution: | (1) Center for Analysis and Prediction, China Seismological Bureau, 100036 Beijing, China |
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Abstract: | The rescaled range (R/S) analysis, proposed by Hurst, is a new statistical method. Being different from traditional statistical method, R/S analysis can provide the information of maximum fluctuation (range) of statistical parameters. At present paper, several
modern instrumental earthquake catalogues in different spatial scale, temporal scale, and with different seismic activity
background are studied, and R/S method is used to analyze the variation of range of seismic parameters such as earthquake frequency, and earthquake time
interval. For different seismic parameters, the ratio of range to standard deviation — R/S is a power law function of the length of time, and the exponent H of power law is always greater than 0.5. As we know, H=0.5 is the characteristics of all ideal random processes. Our results indicate that earthquake series is not an ideal Poisson
process, on the contrary, the earthquake as a phenomenon bears dual characteristics of randomicity and regularity, and the
greater H departs from 0.5, the more regularity the time series will show, and vice versa. With time scale changing, one can give the conservative estimate of the fluctuation, which might occur in a relatively long
time scale, only by using the limited and known time records.
Foundation item: State Natural Science Foundation of China (40074023). |
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Keywords: | rescaled range (R/S) analysis range Hurst exponent seismicity analysis |
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