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Investigating the time dynamics of seismicity by using the visibility graph approach: Application to seismicity of Mexican subduction zone

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  • Telesca, Luciano
  • Lovallo, Michele
  • Ramirez-Rojas, Alejandro
  • Flores-Marquez, Leticia

Abstract

By using the method of the visibility graph (VG), five magnitude time series extracted from the seismic catalog of the Mexican subduction zone were investigated. The five seismic sequences represent the seismicity which occurred between 2005 and 2012 in five seismic areas: Guerrero, Chiapas, Oaxaca, Jalisco and Michoacán. Among the five seismic sequences, the Jalisco sequence shows VG properties significantly different from those shown by the other four. Such a difference could be inherent in the different tectonic settings of Jalisco with respect to those characterizing the other four areas. The VG properties of the seismic sequences have been put in relationship with the more typical seismological characteristics (b-value and a-value of the Gutenberg–Richter law).

Suggested Citation

  • Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Flores-Marquez, Leticia, 2013. "Investigating the time dynamics of seismicity by using the visibility graph approach: Application to seismicity of Mexican subduction zone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6571-6577.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:24:p:6571-6577
    DOI: 10.1016/j.physa.2013.08.078
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    References listed on IDEAS

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    1. Telesca, Luciano & Lovallo, Michele & Pierini, Jorge O., 2012. "Visibility graph approach to the analysis of ocean tidal records," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1086-1091.
    2. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Science and Technology, number hsbook9401, December.
    3. Andriana S L O Campanharo & M Irmak Sirer & R Dean Malmgren & Fernando M Ramos & Luís A Nunes Amaral, 2011. "Duality between Time Series and Networks," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.
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    Cited by:

    1. Wu, Xuehui & Wu, Zhong & Hu, Jun, 2022. "Global competitiveness analysis of industrial robot technology innovations market layout using visibility graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    2. Telesca, Luciano & Lovallo, Michele & Toth, Laszlo, 2014. "Visibility graph analysis of 2002–2011 Pannonian seismicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 219-224.
    3. Chen, Shiyu & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "A visibility graph averaging aggregation operator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 1-12.
    4. Zhang, Yali & Wang, Jun, 2017. "Nonlinear complexity of random visibility graph and Lempel-Ziv on multitype range-intensity interacting financial dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 741-756.
    5. Zhang, Bo & Wang, Jun & Fang, Wen, 2015. "Volatility behavior of visibility graph EMD financial time series from Ising interacting system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 301-314.
    6. Flores-Márquez, E.L. & Ramírez-Rojas, A. & Telesca, L., 2015. "Multifractal detrended fluctuation analysis of earthquake magnitude series of Mexican South Pacific Region," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1106-1114.

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