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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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
Issue number1-4
Publication statusPublished - 2010 Apr


  • 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


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