### 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 language | English |
---|---|

Pages (from-to) | 71-77 |

Number of pages | 7 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 409 |

DOIs | |

Publication status | Published - Sep 1 2014 |

Externally published | Yes |

### Fingerprint

### 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

*Physica A: Statistical Mechanics and its Applications*,

*409*, 71-77. https://doi.org/10.1016/j.physa.2014.04.042

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

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 409, pp. 71-77. https://doi.org/10.1016/j.physa.2014.04.042

}

TY - JOUR

T1 - Evidence of q-exponential statistics in Greek seismicity

AU - Antonopoulos, Chris G.

AU - Michas, George

AU - Vallianatos, Filippos

AU - Bountis, Tassos

PY - 2014/9/1

Y1 - 2014/9/1

N2 - 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.

AB - 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.

KW - Frequency-magnitude distribution

KW - Hazard function estimation

KW - Interevent times distribution

KW - Non-extensive statistical mechanics

KW - q-exponential statistics

KW - Seismicity

UR - http://www.scopus.com/inward/record.url?scp=84901011619&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901011619&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2014.04.042

DO - 10.1016/j.physa.2014.04.042

M3 - Article

VL - 409

SP - 71

EP - 77

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -