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Global regionalized seismicity in view of Non-Extensive Statistical Physics

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  • Chochlaki, Kalliopi
  • Vallianatos, Filippos
  • Michas, Georgios

Abstract

In the present work we study the distribution of Earth’s shallow seismicity on different seismic zones, as occurred from 1981 to 2011 and extracted from the Centroid Moment Tensor (CMT) catalog. Our analysis is based on the subdivision of the Earth’s surface into seismic zones that are homogeneous with regards to seismic activity and orientation of the predominant stress field. For this, we use the Flinn–Engdahl regionalization (FE) (Flinn and Engdahl, 1965), which consists of fifty seismic zones as modified by Lombardi and Marzocchi (2007). The latter authors grouped the 50 FE zones into larger tectonically homogeneous ones, utilizing the cumulative moment tensor method, resulting into thirty-nine seismic zones. In each one of these seismic zones we study the distribution of seismicity in terms of the frequency–magnitude distribution and the inter-event time distribution between successive earthquakes, a task that is essential for hazard assessments and to better understand the global and regional geodynamics. In our analysis we use non-extensive statistical physics (NESP), which seems to be one of the most adequate and promising methodological tools for analyzing complex systems, such as the Earth’s seismicity, introducing the q-exponential formulation as the expression of probability distribution function that maximizes the Sq entropy as defined by Tsallis, (1988). The qE parameter is significantly greater than one for all the seismic regions analyzed with value range from 1.294 to 1.504, indicating that magnitude correlations are particularly strong. Furthermore, the qT parameter shows some temporal correlations but variations with cut-off magnitude show greater temporal correlations when the smaller magnitude earthquakes are included. The qT for earthquakes with magnitude greater than 5 takes values from 1.043 to 1.353 and as we increase the cut-off magnitude to 5.5 and 6 the qT value ranges from 1.001 to 1.242 and from 1.001 to 1.181 respectively, presenting a significant decrease. Our findings support the ideas of universality within the Tsallis approach to describe Earth’s seismicity and present strong evidence ontemporal clustering and long-range correlations of seismicity in each of the tectonic zonesanalyzed.

Suggested Citation

  • Chochlaki, Kalliopi & Vallianatos, Filippos & Michas, Georgios, 2018. "Global regionalized seismicity in view of Non-Extensive Statistical Physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 276-285.
    • Handle: RePEc:eee:phsmap:v:493:y:2018:i:c:p:276-285
    DOI: 10.1016/j.physa.2017.10.020
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    References listed on IDEAS

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    1. Telesca, Luciano, 2010. "Nonextensive analysis of seismic sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1911-1914.
    2. Vilar, C.S. & França, G.S. & Silva, R. & Alcaniz, J.S., 2007. "Nonextensivity in geological faults?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 285-290.
    3. Abe, Sumiyoshi & Suzuki, Norikazu, 2005. "Scale-free statistics of time interval between successive earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 588-596.
    4. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
    5. Antonopoulos, Chris G. & Michas, George & Vallianatos, Filippos & Bountis, Tassos, 2014. "Evidence of q-exponential statistics in Greek seismicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 71-77.
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