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arXiv · 1404.3376

Long-range correlations and trends in Colombian seismic time series

L. A. Martin-Montoya·N. M. Aranda-Camacho·C. J. Quimbay
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Abstract

We study long-range correlations and trends in time series extracted from the data of seismic events occurred from 1973 to 2011 in a rectangular region that contains mainly all the continental part of Colombia. The long-range correlations are detected by the calculation of the Hurst exponents for the time series of interevent intervals, separation distances, depth differences and magnitude differences. By using a modification of the classical $R/S$ method that has been developed to detect short-range correlations in time series, we find the existence of persistence for all the time series considered except for magnitude differences. We find also, by using the $DFA$ until the third order, that the studied time series are not influenced by trends. Additionally, an analysis of the Hurst exponent as a function of the number of events in the time and the maximum window size is presented.

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BibTeXRIS

L. A. Martin-Montoya, N. M. Aranda-Camacho, C. J. Quimbay. 2014-10-28. Long-range correlations and trends in Colombian seismic time series. https://arxiv.org/abs/1404.3376

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