The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes

Tomohiro Hasumi; Chien chih Chen; Takuma Akimoto; Yoji Aizawa

doi:10.1016/j.tecto.2009.11.012

The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes

Tomohiro Hasumi, Chien chih Chen, Takuma Akimoto, Yoji Aizawa

Department of Earth Sciences

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We study the interoccurrence time distributions of events by analyzing synthetic catalogues and three natural catalogues of the Japan Meteorological Agency (JMA), the Southern California Earthquake Data Center (SCEDC) and the Taiwan Central Weather Bureau (TCWB). We find a universal feature, i.e. the Weibull-log Weibull transition, in the interoccurrence time statistics. This transition demonstrates that the interoccurrence time statistics of earthquakes possess the hybrid Weibull and log Weibull statistics. We further find that the crossover magnitude m_c^** from the superposition regime to the pure Weibull regime is averagely proportional to the plate velocity. In the end of this paper we summarize a region-independent relation, i.e. m_c^**/m_max=0.54±0.06, which represents a novel empirical relation related to the Weibull-log Weibull transition for earthquake processes.

Original language	English
Pages (from-to)	9-16
Number of pages	8
Journal	Tectonophysics
Volume	485
Issue number	1-4
DOIs	https://doi.org/10.1016/j.tecto.2009.11.012
State	Published - Apr 2010

Keywords

Earthquakes
Interoccurrent time-interval statistics
Log Weibull distribution
Probability distribution
Statistical seismology
Weibull distribution
Weibull-log Weibull transition

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10.1016/j.tecto.2009.11.012

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title = "The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes",

abstract = "We study the interoccurrence time distributions of events by analyzing synthetic catalogues and three natural catalogues of the Japan Meteorological Agency (JMA), the Southern California Earthquake Data Center (SCEDC) and the Taiwan Central Weather Bureau (TCWB). We find a universal feature, i.e. the Weibull-log Weibull transition, in the interoccurrence time statistics. This transition demonstrates that the interoccurrence time statistics of earthquakes possess the hybrid Weibull and log Weibull statistics. We further find that the crossover magnitude mc** from the superposition regime to the pure Weibull regime is averagely proportional to the plate velocity. In the end of this paper we summarize a region-independent relation, i.e. mc**/mmax=0.54±0.06, which represents a novel empirical relation related to the Weibull-log Weibull transition for earthquake processes.",

keywords = "Earthquakes, Interoccurrent time-interval statistics, Log Weibull distribution, Probability distribution, Statistical seismology, Weibull distribution, Weibull-log Weibull transition",

author = "Tomohiro Hasumi and Chen, {Chien chih} and Takuma Akimoto and Yoji Aizawa",

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T1 - The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes

AU - Hasumi, Tomohiro

AU - Chen, Chien chih

AU - Akimoto, Takuma

AU - Aizawa, Yoji

PY - 2010/4

Y1 - 2010/4

N2 - We study the interoccurrence time distributions of events by analyzing synthetic catalogues and three natural catalogues of the Japan Meteorological Agency (JMA), the Southern California Earthquake Data Center (SCEDC) and the Taiwan Central Weather Bureau (TCWB). We find a universal feature, i.e. the Weibull-log Weibull transition, in the interoccurrence time statistics. This transition demonstrates that the interoccurrence time statistics of earthquakes possess the hybrid Weibull and log Weibull statistics. We further find that the crossover magnitude mc** from the superposition regime to the pure Weibull regime is averagely proportional to the plate velocity. In the end of this paper we summarize a region-independent relation, i.e. mc**/mmax=0.54±0.06, which represents a novel empirical relation related to the Weibull-log Weibull transition for earthquake processes.

AB - We study the interoccurrence time distributions of events by analyzing synthetic catalogues and three natural catalogues of the Japan Meteorological Agency (JMA), the Southern California Earthquake Data Center (SCEDC) and the Taiwan Central Weather Bureau (TCWB). We find a universal feature, i.e. the Weibull-log Weibull transition, in the interoccurrence time statistics. This transition demonstrates that the interoccurrence time statistics of earthquakes possess the hybrid Weibull and log Weibull statistics. We further find that the crossover magnitude mc** from the superposition regime to the pure Weibull regime is averagely proportional to the plate velocity. In the end of this paper we summarize a region-independent relation, i.e. mc**/mmax=0.54±0.06, which represents a novel empirical relation related to the Weibull-log Weibull transition for earthquake processes.

KW - Earthquakes

KW - Interoccurrent time-interval statistics

KW - Log Weibull distribution

KW - Probability distribution

KW - Statistical seismology

KW - Weibull distribution

KW - Weibull-log Weibull transition

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DO - 10.1016/j.tecto.2009.11.012

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JO - Tectonophysics

JF - Tectonophysics

IS - 1-4

ER -

The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes

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Keywords

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