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Nonextensivity measure for earthquake networks

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  • Lotfi, Nastaran
  • Darooneh, Amir H.

Abstract

Studying earthquakes and the associated geodynamic processes based on the complex network theory enables us to learn about the universal features of the earthquake phenomenon. In addition, we can determine new indices for identification of regions geophysically. It was found that earthquake networks are scale free and its degree distribution obeys the power law. Here we claim that the q-exponential function is better than power law model for fitting the degree distribution. We also study the behavior of q parameter (nonextensivity measure) with respect to resolution. It was previously asserted in Eur. Phys. J. B (2012) 85: 23; that the topological characteristics of earthquake networks are dependent on each other for large values of the resolution. A peak in the plot of q against resolution determines the beginning of the assertion range.

Suggested Citation

  • Lotfi, Nastaran & Darooneh, Amir H., 2013. "Nonextensivity measure for earthquake networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(14), pages 3061-3065.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:14:p:3061-3065
    DOI: 10.1016/j.physa.2013.03.010
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    References listed on IDEAS

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    1. N. Lotfi & A. Darooneh, 2012. "The earthquakes network: the role of cell size," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(1), pages 1-4, January.
    2. S. Abe & N. Suzuki, 2005. "Scale-invariant statistics of period in directed earthquake network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(1), pages 115-117, March.
    3. Abe, Sumiyoshi & Pastén, Denisse & Suzuki, Norikazu, 2011. "Finite data-size scaling of clustering in earthquake networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1343-1349.
    4. S. Abe & N. Suzuki, 2007. "Dynamical evolution of clustering in complex network of earthquakes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 59(1), pages 93-97, September.
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    Cited by:

    1. Rezaei, Soghra & Moghaddasi, Hanieh & Darooneh, Amir Hossein, 2018. "Preferential attachment in evolutionary earthquake networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 172-179.
    2. Rezaei, Soghra & Darooneh, Amir Hossein & Lotfi, Nastaran & Asaadi, Nazila, 2017. "The earthquakes network: Retrieving the empirical seismological laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 80-87.

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