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Statistical laws observed in earthquakes using mesh statistics: an econophysical point of view

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Abstract

This paper analyzes earthquakes of intensity 1 or greater in Japan from 1982 to 2021 using seismic data published by the Japan Meteorological Agency. After measuring the transition of the Gutenberg–Richter law, we identified a positive correlation between the number of annual earthquakes and b values. Using mesh statistics, we also compiled the seismic energy and number of earthquakes for each mesh to confirm their power laws, the correlation between the seismic energy and the number of earthquakes, and the existence of time-reversal symmetry. We concluded that Gibrat’s law does not exist and discussed the properties that exist in its place.

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Acknowledgements

The authors thank a workshop called the Data-Driven Mathematical Sciences and Econophysics in the Meiji Institute for Advanced Study of Mathematical Sciences (MIMS). This study was supported by JSPS KAKENHI under Grant Nos. 21H01569, 21K04557, and 22K04609, and the Nomura Foundation for Social Science.

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Authors and Affiliations

  1. Kanazawa Gakuin University, 10 Sue, Kanazawa, Ishikawa, 920-1392, Japan

    Atushi Ishikawa & Shouji Fujimoto

  2. Department of Informatics, The Graduate University for Advanced Studies, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo, 101-8430, Japan

    Takayuki Mizuno

Authors
  1. Atushi Ishikawa
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  2. Shouji Fujimoto
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  3. Takayuki Mizuno
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Correspondence to Atushi Ishikawa.

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Ishikawa, A., Fujimoto, S. & Mizuno, T. Statistical laws observed in earthquakes using mesh statistics: an econophysical point of view. Evolut Inst Econ Rev (2023). https://doi.org/10.1007/s40844-023-00255-x

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  • DOI: https://doi.org/10.1007/s40844-023-00255-x

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