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We present a detailed description of seismic activity in Romania, Italy, andJapan, as well as the California seismic zone in the United States of America,based on the statistical analysis of the underlying seismic networks used tomodel the aforementioned zones. Our results on network connectivity and simplenetwork motifs allow for a complex description of seismic zones, while at thesame time reinforcing the current understanding of seismicity as a criticalphenomenon. The reported distributions on node connectivity, three-, andfour-event motifs are consistent with power-law, i.e., scale-free,distributions over large intervals and are robust across seismic networksobtained from different discretizations of the seismic zones of interest. Inour analysis of the distributions of node connectivity and simple motifs, wedistinguish between the global distribution and the power-law part of it withthe help of maximum likelihood estimation (MLE) method and complementarycumulative distribution functions (CCDF). The main message is that thedistributions reported for the aforementioned seismic zones are notintrinsically power laws, but have large power-law components, extending oversome orders of magnitude, independent of discretization. All the results wereobtained using publicly-available databases and open-source software, as wellas a new toolbox available on GitHub, specifically designed to automaticallyanalyze earthquake databases.

Motifs in seismic networks: Romania, Italy, United States of America, and Japan