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Earthquake magnitude time series: scaling behavior of visibility networks

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  • B. Aguilar-San Juan
  • L. Guzmán-Vargas

Abstract

We present a statistical analysis of earthquake magnitude sequences in terms of the visibility graph method. Magnitude time series from Italy, Southern California, and Mexico are transformed into networks and some organizational graph properties are discussed. Connectivities are characterized by a scale-free distribution with a noticeable effect for large scales due to either the presence or the lack of large events. Also, a scaling behavior is observed between different node measures like betweenness centrality, clustering coefficient, nearest neighbor connectivity, and earthquake magnitude. Moreover, parameters which quantify the difference between forward and backward links, are proposed to evaluate the asymmetry of visibility attachment mechanism. Our results show an alternating average behavior of these parameters as earthquake magnitude changes. Finally, we evaluate the effects of reducing temporal and spatial windows of observation upon visibility network properties for main-shocks. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • B. Aguilar-San Juan & L. Guzmán-Vargas, 2013. "Earthquake magnitude time series: scaling behavior of visibility networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(11), pages 1-10, November.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:11:p:1-10:10.1140/epjb/e2013-40762-2
    DOI: 10.1140/epjb/e2013-40762-2
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    Cited by:

    1. Ole Bernt Fasmer & Erlend Eindride Fasmer & Kristin Mjeldheim & Wenche Førland & Vigdis Elin Giæver Syrstad & Petter Jakobsen & Jan Øystein Berle & Tone E G Henriksen & Zahra Sepasdar & Erik R Hauge &, 2020. "Diurnal variation of motor activity in adult ADHD patients analyzed with methods from graph theory," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-18, November.
    2. Han, Mengjiao & Fan, Qingju & Ling, Guang, 2022. "Multiscale online-horizontal-visibility-graph correlation analysis of financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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    Keywords

    Statistical and Nonlinear Physics;

    Statistics

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