### 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. (C) 2014 Elsevier B.V. All rights reserved.

Original language | English |
---|---|

Pages (from-to) | 71-77 |

Number of pages | 7 |

Journal | Physica. A, Statistical Mechanics and its Applications |

Volume | 409 |

Early online date | 9 May 2014 |

DOIs | |

Publication status | Published - 1 Sep 2014 |

### Keywords

- seismicity
- non-extensive statistical mechanics
- q-exponential statistics
- frequency magnitude distribution
- interevent times distribution
- hazard function estimation
- West Corinth Rift
- successive earthquakes
- non-extensivity
- physics
- sequence

### 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. (C) 2014 Elsevier B.V. All rights reserved.

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. (C) 2014 Elsevier B.V. All rights reserved.

KW - seismicity

KW - non-extensive statistical mechanics

KW - q-exponential statistics

KW - frequency magnitude distribution

KW - interevent times distribution

KW - hazard function estimation

KW - West Corinth Rift

KW - successive earthquakes

KW - non-extensivity

KW - physics

KW - sequence

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 -