Complex earthquake networks: Hierarchical organization and assortative mixing

Abstract

To characterize the dynamical features of seismicity as a complex phenomenon, the seismic data is mapped to a growing random graph, which is a small-world scale-free network. Here, hierarchical and mixing properties of such a network are studied. The clustering coefficient is found to exhibit asymptotic power-law decay with respect to connectivity, showing hierarchical organization. This structure is supported by not only main shocks but also small shocks, and may have its origin in the combined effect of vertex fitness and deactivation by stress release at faults. The nearest-neighbor average connectivity and the Pearson correlation coefficient are also calculated. It is found that the earthquake network has assortative mixing. This is a main difference of the earthquake network from the Internet with disassortative mixing. Physical implications of these results are discussed.

20 pages including 4 figures and 2 tables

References in corpus (19)

• Emergence of scaling in random networks
• Assortative mixing in networks
• Hierarchical Organization in Complex Networks
• Dynamical and correlation properties of the Internet
• Topology of evolving networks: local events and universality
• Large-scale topological and dynamical properties of Internet
• Scale free networks of earthquakes and aftershocks
• Highly clustered scale-free networks
• Growing Scale-Free Networks with Small World Behavior
• Scale-free statistics of time interval between successive earthquakes
• Law for the distance between successive earthquakes
• Small-world structure of earthquake network
• Complex networks of earthquakes and aftershocks
• Topology and correlations in structured scale-free networks
• Scale-invariant statistics of period in directed earthquake network
• Scaling and precursor motifs in earthquake networks
• Distribution of epicenters in the Olami-Feder-Christensen model
• Omori's law in the Internet traffic
• Gutenberg-Richter Law for Internetquakes

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• Identifying overlapping communities in social networks using multi-scale local information expansion
• Dynamical evolution of the community structure of complex earthquake network
• Scaling relation for earthquake networks
• Statistical Physics Approaches to Seismicity
• Network similarity and statistical analysis of earthquake seismic data
• Universal law for waiting internal time in seismicity and its implication to earthquake network
• Aftershocks in Modern Perspectives: Complex Earthquake Network, Aging, and Non-Markovianity
• Assortativity measures for weighted and directed networks
• Scale-free and small-world properties of earthquake network in Chile
• Applying the horizontal visibility graph method to study irreversibility of electromagnetic turbulence in non-thermal plasmas
• Earthquake Networks, Complex