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

Author

Listed:
  • Atushi Ishikawa

    (Kanazawa Gakuin University)

  • Shouji Fujimoto

    (Kanazawa Gakuin University)

  • Takayuki Mizuno

    (The Graduate University for Advanced Studies)

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.

Suggested Citation

  • Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno, 2024. "Statistical laws observed in earthquakes using mesh statistics: an econophysical point of view," Evolutionary and Institutional Economics Review, Springer, vol. 21(2), pages 203-216, September.
    • Handle: RePEc:spr:eaiere:v:21:y:2024:i:2:d:10.1007_s40844-023-00255-x
    DOI: 10.1007/s40844-023-00255-x
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    References listed on IDEAS

    as
    1. Fujiwara, Yoshi & Di Guilmi, Corrado & Aoyama, Hideaki & Gallegati, Mauro & Souma, Wataru, 2004. "Do Pareto–Zipf and Gibrat laws hold true? An analysis with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 197-216.
    2. Fujiwara, Yoshi & Souma, Wataru & Aoyama, Hideaki & Kaizoji, Taisei & Aoki, Masanao, 2003. "Growth and fluctuations of personal income," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 598-604.
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    More about this item

    Keywords

    Gutenberg–Richter law; b value; Mesh statistics; Power law; Time-reversal symmetry; Gibrat’s law;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • Y10 - Miscellaneous Categories - - Data: Tables and Charts - - - Data: Tables and Charts

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