TY - JOUR

T1 - Evidence of q-exponential statistics in Greek seismicity

AU - Antonopoulos, Chris G.

AU - Michas, George

AU - Vallianatos, Filippos

AU - Bountis, Tassos

N1 - Funding Information:
The research of C.G. A. and T. B. has been co-financed by the European Union ( European Social Fund—ESF ) and Greek national funds through the MACOMSYS Project “Mathematical Modeling of Complex Systems”, within the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF)-Research Funding Program: THALES-Investing in knowledge society through the European Social Fund ( MIS 379337 ). The work of F. V. and G. M. was supported by the THALES Program of the Ministry of Education of Greece and the European Union in the framework of the project entitled “Integrated understanding of Seismicity, using innovative Methodologies of Fracture mechanics ( MIS 380208 ) along with Earthquake and non-extensive statistical physics — Application to the geodynamic system of the Hellenic Arc. SEISMO FEAR HELLARC”.

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 - Seismicity

KW - q-exponential statistics

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U2 - 10.1016/j.physa.2014.04.042

DO - 10.1016/j.physa.2014.04.042

M3 - Article

AN - SCOPUS:84901011619

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 -