Evidence of q-exponential statistics in Greek seismicity

Chris G. Antonopoulos, George Michas, Filippos Vallianatos, Tassos Bountis

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We study the seismicity (global seismic activity) that occurred in Greece between 1976 and 2009 based on the dataset reported in Makropoulos et al. (2012), using concepts of non-extensive Statistical Physics. By considering the entire and declustered datasets, for which the aftershocks have been removed, we initially investigate the frequency-magnitude distribution and find that both datasets are well approximated by a physical model derived in the framework of non-extensive Statistical Physics. We then carry out a study of the distribution of interevent times of seismic events for different magnitude thresholds and discover that the data are well approximated by a statistical distribution of the q-exponential type that allows us to compute analytically the risk function of earthquake production. Our analysis thus reveals further evidence that the underlying dynamical process of earthquake birth reflects a kind of nonlinear memory due to long-term persistence of seismic events.

Original languageEnglish
Pages (from-to)71-77
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Volume409
DOIs
Publication statusPublished - Sep 1 2014
Externally publishedYes

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earthquakes
Statistical Physics
statistics
Statistics
Earthquake
physics
Greece
statistical distributions
Risk Function
Exponential Type
Statistical Distribution
Physical Model
Persistence
thresholds
Entire
Evidence
Concepts
Framework

Keywords

  • Frequency-magnitude distribution
  • Hazard function estimation
  • Interevent times distribution
  • Non-extensive statistical mechanics
  • q-exponential statistics
  • Seismicity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

Cite this

Evidence of q-exponential statistics in Greek seismicity. / Antonopoulos, Chris G.; Michas, George; Vallianatos, Filippos; Bountis, Tassos.

In: Physica A: Statistical Mechanics and its Applications, Vol. 409, 01.09.2014, p. 71-77.

Research output: Contribution to journalArticle

Antonopoulos, Chris G. ; Michas, George ; Vallianatos, Filippos ; Bountis, Tassos. / Evidence of q-exponential statistics in Greek seismicity. In: Physica A: Statistical Mechanics and its Applications. 2014 ; Vol. 409. pp. 71-77.
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