Abstract
Seismic activities show a space-time symmetry in some research. They have been recently studied using complex network theory. Earthquake network similarity is studied by us from seismic catalogs in the same region for a given period of time. In this paper, we first calculate the distance between feature vectors which represent the topological properties of different networks. A hierarchical clustering of earthquake networks in the same region is shown by using this method. It is found that similar networks are not the networks of adjacent years but those with decades time difference. To study the period of similar earthquake networks in the same region, we use wavelet analysis to obtain the possible periods at different time scales of the regions of the world, California and Japan. It is found that some of the possible periods are consistent with the results which have been already found by seismologists. The study of similar seismic activities from the perspective of the complex network will help seismologists to study the law of earthquake occurrence in a new way, which may provide possible research thinking for earthquake prediction.
Highlights
Complex networks have been applied in various complex systems
We got the distance matrix D, which is used for the hierarchical clustering of earthquake networks
D, the four steps of the common hierarchical clustering method [39] are as follows: (i) Each network in this set is treated as a cluster, so we have g clusters at first, each containing just one item(network); (ii) two clusters with the shortest distance are merged to a single cluster; (iii) the distance between all pairs of clusters are recalculated; (iv) steps (ii) and (iii) are repeated until all the clusters merged to one cluster
Summary
Complex networks have been applied in various complex systems. Researchers describe and explain the complex interactions among components in the systems from a novel perspective [8]. Complex network theory has been applied to the seismic activity in the past two decades [9,10,11,12,13,14,15,16,17,18,19,20,21,22]. The network properties of seismicity has been calculated and analyzed by using network theory. These characteristics help us in understanding possible relevance of various seismic phenomena
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