The Weibull-log Weibull distribution for interoccurrence times of earthquakes
The Weibull-log Weibull distribution for interoccurrence times of earthquakes
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DOI：
10.1016/j.physa.2008.10.023
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发表时间：
2009-02-15
影响因子：
3.3
通讯作者：
Aizawa, Yoji
中科院分区：
文献类型：
--
作者：
Hasumi, Tomohiro;Akimoto, Takuma;Aizawa, Yoji
通过对不同构造背景下日本气象厅地震目录的分析，发现相继地震间隔时间间隔的概率分布可以用威布尔分布和对数威布尔分布的叠加来描述。特别是，大震的分布服从指数为α(1)<；1的威布尔分布，说明大震序列不是泊松过程。结果表明，威布尔分布与重发时间概率分布的比值随着震级阈值的增大而逐渐增大。我们的结果推断，在间隔时间统计量中，威布尔统计量和对数-威布尔统计量并存，并且分布的变化被认为是优势分布的变化。在这种情况下，优势分布从对数-威布尔分布转变为威布尔分布，这使得我们能够强化这样的观点，即重现时间呈现出从威布尔区域到对数-威布尔区域的转变。(C)2008爱思唯尔B.V.保留所有权利。
By analyzing the Japan Meteorological Agency (JMA) seismic catalog for different tectonic settings, we have found that the probability distributions of time intervals between successive earthquakes - interoccurrence times - can be described by the superposition of the Weibull distribution and the log-Weibull distribution. In particular, the distribution of large earthquakes obeys the Weibull distribution with the exponent alpha(1) < 1, indicating the fact that the sequence of large earthquakes is not a Poisson process. It is found that the ratio of the Weibull distribution to the probability distribution of the interoccurrence time gradually increases with increase in the threshold of magnitude. Our results infer that Weibull statistics and log-Weibull statistics coexist in the interoccurrence time statistics, and that the change of the distribution is considered as the change of the dominant distribution. In this case, the dominant distribution changes from the log-Weibull distribution to the Weibull distribution, allowing us to reinforce the view that the interoccurrence time exhibits the transition from the Weibull regime to the log-Weibull regime. (C) 2008 Elsevier B.V. All rights reserved.