论文标题

使用可见性图分析中的地震时间序列提取相关性

Extracting correlations in earthquake time series using visibility graph analysis

论文作者

Kundu, Sumanta, Opris, Anca, Yukutake, Yohei, Hatano, Takahiro

论文摘要

最近的观察研究表明,地震分为几个不同的类别。每个类别的特征都以时间序列中的独特统计特征为特征,但是由于其非线性和非组织性质,目前的理解仍然受到限制。在这里,我们利用复杂的网络理论为地震时间序列的统计特性提供了新的启示。我们研究了三种不同类别的地震:常规地震,地震群和构造震颤的两种时间序列,这些时间序列是大小和活动间时间(IET)。遵循可见性图的标准,通过将每个地震事件视为节点并确定链接,将地震时间序列映射到一个复杂的网络中。与当前的普遍信念相反,发现幅度时间序列在统计学上不等于随机时间序列。 IET系列的相关性与所有类别的地震类别相似。此外,我们表明,三种不同类别的地震的时间序列可以通过相关可见性图的拓扑来区分。对分类系数的分析还表明,群比震颤更间歇性。

Recent observation studies have revealed that earthquakes are classified into several different categories. Each category might be characterized by the unique statistical feature in the time series, but the present understanding is still limited due to their nonlinear and nonstationary nature. Here we utilize complex network theory to shed new light on the statistical properties of earthquake time series. We investigate two kinds of time series, which are magnitude and inter-event time (IET), for three different categories of earthquakes: regular earthquakes, earthquake swarms, and tectonic tremors. Following the criterion of visibility graph, earthquake time series are mapped into a complex network by considering each seismic event as a node and determining the links. As opposed to the current common belief, it is found that the magnitude time series are not statistically equivalent to random time series. The IET series exhibit correlations similar to fractional Brownian motion for all the categories of earthquakes. Furthermore, we show that the time series of three different categories of earthquakes can be distinguished by the topology of the associated visibility graph. Analysis on the assortativity coefficient also reveals that the swarms are more intermittent than the tremors.

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