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Small-world structure of earthquake network

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  • Abe, Sumiyoshi
  • Suzuki, Norikazu

Abstract

Discoveries of the scale-free and small-world features are reported on the network constructed from the seismic data. It is shown that the connectivity distribution decays as a power law, and the value of the degrees of separation, i.e., the characteristic path length, between two earthquakes (as the vertices) chosen at random takes a small value between 2 and 3. The clustering coefficient is also calculated and is found to be about 10 times larger than that in the case of the completely random network. These features highlight a novel aspect of seismicity as a complex phenomenon.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:337:y:2004:i:1:p:357-362
    DOI: 10.1016/j.physa.2004.01.059
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    Citations

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    Cited by:

    1. Chorozoglou, D. & Papadimitriou, E. & Kugiumtzis, D., 2019. "Investigating small-world and scale-free structure of earthquake networks in Greece," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 143-152.
    2. Chorozoglou, D. & Kugiumtzis, D. & Papadimitriou, E., 2018. "Testing the structure of earthquake networks from multivariate time series of successive main shocks in Greece," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 28-39.
    3. 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).
    4. Ferreira, D.S.R. & Ribeiro, J. & Oliveira, P.S.L. & Pimenta, A.R. & Freitas, R.P. & Dutra, R.S. & Papa, A.R.R. & Mendes, J.F.F., 2022. "Spatiotemporal analysis of earthquake occurrence in synthetic and worldwide data," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    5. He, Xuan & Zhao, Hai & Cai, Wei & Liu, Zheng & Si, Shuai-Zong, 2014. "Earthquake networks based on space–time influence domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 175-184.
    6. Chiao, Ling-Yun, 2012. "Variation dynamics of the complex topology of a seismicity network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 497-507.
    7. Xu, Yanjie & Ren, Tao & Liu, Yiyang & Li, Zhe, 2018. "Earthquake prediction based on community division," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 969-974.
    8. 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).
    9. 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.
    10. Jiménez, Abigail, 2013. "A complex network model for seismicity based on mutual information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2498-2506.
    11. Stephan Bialonski & Martin Wendler & Klaus Lehnertz, 2011. "Unraveling Spurious Properties of Interaction Networks with Tailored Random Networks," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.
    12. Zhang, Ya & Zhao, Hai & He, Xuan & Pei, Fan-Dong & Li, Guang-Guang, 2016. "Bayesian prediction of earthquake network based on space–time influence domain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 138-149.
    13. 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.
    14. 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.
    15. 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).
    16. Deyasi, Krishanu & Chakraborty, Abhijit & Banerjee, Anirban, 2017. "Network similarity and statistical analysis of earthquake seismic data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 224-234.
    17. Zhang, Gui-Qing & Baró, Jordi & Cheng, Fang-Yin & Huang, He & Wang, Lin, 2019. "Avalanche dynamics of a generalized earthquake model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1463-1471.
    18. He, Xuan & Zhao, Hai & Cai, Wei & Li, Guang-Guang & Pei, Fan-Dong, 2015. "Analyzing the structure of earthquake network by k-core decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 34-43.

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