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Small world picture of worldwide seismic events

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  • Ferreira, Douglas S.R.
  • Papa, Andrés R.R.
  • Menezes, Ronaldo

Abstract

The understanding of long-distance relations between seismic activities has for long been of interest to seismologists and geologists. In this paper we have used data from the worldwide earthquake catalog for the period between 1972 and 2011 to generate a network of sites around the world for earthquakes with magnitude m≥4.5 in the Richter scale. After the network construction, we have analyzed the results under two viewpoints. First, in contrast to previous works, which have considered just small areas, we showed that the best fitting for networks of seismic events is not a pure power law, but a power law with exponential cutoff; we also have found that the global network presents small-world properties. Second, we have found that the time intervals between successive earthquakes have a cumulative probability distribution well fitted by nontraditional functional forms. The implications of our results are significant because they seem to indicate that seisms around the world are not independent. In this paper we provide evidence to support this argument.

Suggested Citation

  • Ferreira, Douglas S.R. & Papa, Andrés R.R. & Menezes, Ronaldo, 2014. "Small world picture of worldwide seismic events," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 170-180.
    • Handle: RePEc:eee:phsmap:v:408:y:2014:i:c:p:170-180
    DOI: 10.1016/j.physa.2014.04.024
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    References listed on IDEAS

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    1. Darooneh, Amir H. & Mehri, Ali, 2010. "A nonextensive modification of the Gutenberg–Richter law: q-stretched exponential form," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 509-514.
    2. Abe, Sumiyoshi & Suzuki, Norikazu, 2005. "Scale-free statistics of time interval between successive earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 588-596.
    3. 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.
    4. Darooneh, Amir H. & Dadashinia, Cyruse, 2008. "Analysis of the spatial and temporal distributions between successive earthquakes: Nonextensive statistical mechanics viewpoint," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3647-3654.
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    Cited by:

    1. Ferreira, Douglas S.R. & Ribeiro, Jennifer & Oliveira, Paulo S.L. & Pimenta, André R. & Freitas, Renato P. & Papa, Andrés R.R., 2020. "Long-range correlation studies in deep earthquakes global series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
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    3. He, Xuan & Wang, Luyang & Zhu, Hongbo & Liu, Zheng, 2021. "Statistical analysis of complex weighted network for seismicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    4. Zhang, Hai-Ying & Ji, Qiang & Fan, Ying, 2014. "Competition, transmission and pattern evolution: A network analysis of global oil trade," Energy Policy, Elsevier, vol. 73(C), pages 312-322.

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