Scale-free statistics of time interval between successive earthquakes
Sumiyoshi Abe (1), Norikazu Suzuki (2) ((1) Institute of Physics,, University of Tsukuba, Ibaraki, Japan, (2)College of Science, Technology,, Nihon University, Funabashi, Chiba, Japan)
TL;DR
This paper reveals that the time intervals between successive earthquakes follow a scale-free Zipf-Mandelbrot power law, indicating a universal statistical property across different regions and magnitudes.
Contribution
It demonstrates the scale-free nature of earthquake calm times and analyzes how the power-law exponent varies with magnitude thresholds.
Findings
Calm times obey Zipf-Mandelbrot power law
Exponent depends on magnitude threshold
Longer tails at higher thresholds
Abstract
The statistical property of the calm times, i.e., time intervals between successive earthquakes with arbitrary values of magnitude, is studied by analyzing the seismic time series data in California and Japan. It is found that the calm times obey the Zipf-Mandelbrot power law, exhibiting a new scale-free nature of the earthquake phenomenon. Dependence of the exponent of the power-law distribution on threshold for magnitude is examined. As threshold increases, the tail of the distribution tends to become longer, showing difficulty in statistically estimating time intervals of earthquakes.
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