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The earthquakes network: Retrieving the empirical seismological laws

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  • Rezaei, Soghra
  • Darooneh, Amir Hossein
  • Lotfi, Nastaran
  • Asaadi, Nazila

Abstract

Here we try to show that the main statistical features of earthquake phenomena in any region can be retrieved from the associated earthquakes network. In the first attempt we draw out the Gutenberg–Richter law from the Abe–Suzuki model for the earthquakes network and the Omori law from the Telesca–Lovallo network model. Then we introduce a hybrid model for constructing the earthquakes network and extract both laws simultaneously from the same network model. Moreover, we obtain some other laws in terms of the network characteristics which have no counterparts among the standard seismological laws.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:80-87
    DOI: 10.1016/j.physa.2016.12.003
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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. 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.
    3. 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.
    4. 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.
    5. Abe, Sumiyoshi & Suzuki, Norikazu, 2004. "Small-world structure of earthquake network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 357-362.
    6. 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.
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    Cited by:

    1. Liu, Hongzhi & Zhang, Xingchen & Zhang, Xie, 2018. "Exploring dynamic evolution and fluctuation characteristics of air traffic flow volume time series: A single waypoint case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 560-571.
    2. 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.
    3. Shahraki Ebrahimi, Ammar & Yavari, Elham & Khatibi, Toktam, 2021. "Novel methods for creating an earthquake complex network using a declustered catalog," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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