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

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

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)9-16
Number of pages8
JournalTectonophysics
Volume485
Issue number1-4
DOIs
Publication statusPublished - 2010 Apr

Fingerprint

earthquakes
statistics
earthquake
catalogs
Southern California
Taiwan
weather
Japan
crossovers
data centre
distribution

Keywords

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

ASJC Scopus subject areas

  • Earth-Surface Processes
  • Geophysics

Cite this

The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes. / Hasumi, Tomohiro; Chen, Chien chih; Akimoto, Takuma; Aizawa, Yoji.

In: Tectonophysics, Vol. 485, No. 1-4, 04.2010, p. 9-16.

Research output: Contribution to journalArticle

Hasumi, Tomohiro ; Chen, Chien chih ; Akimoto, Takuma ; Aizawa, Yoji. / The Weibull-log Weibull transition of interoccurrence time for synthetic and natural earthquakes. In: Tectonophysics. 2010 ; Vol. 485, No. 1-4. pp. 9-16.
@article{ca00ff98d4424163b93700de0b166ee2,
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",
year = "2010",
month = "4",
doi = "10.1016/j.tecto.2009.11.012",
language = "English",
volume = "485",
pages = "9--16",
journal = "Tectonophysics",
issn = "0040-1951",
publisher = "Elsevier",
number = "1-4",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=77950432081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950432081&partnerID=8YFLogxK

U2 - 10.1016/j.tecto.2009.11.012

DO - 10.1016/j.tecto.2009.11.012

M3 - Article

VL - 485

SP - 9

EP - 16

JO - Tectonophysics

JF - Tectonophysics

SN - 0040-1951

IS - 1-4

ER -