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

Atushi Ishikawa (), Shouji Fujimoto and Takayuki Mizuno
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Atushi Ishikawa: Kanazawa Gakuin University
Shouji Fujimoto: Kanazawa Gakuin University
Takayuki Mizuno: The Graduate University for Advanced Studies

Evolutionary and Institutional Economics Review, 2024, vol. 21, issue 2, No 4, 203-216

Abstract: 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.

Keywords: Gutenberg–Richter law; b value; Mesh statistics; Power law; Time-reversal symmetry; Gibrat’s law (search for similar items in EconPapers)
JEL-codes: C49 E00 Y10 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40844-023-00255-x

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