A Non-Extensive Statistical Physics View of the Temporal Properties of the Recent Aftershock Sequences of Strong Earthquakes in Greece
Source abstract
Abstract
Greece is one of Europe’s most seismically active areas. Seismic activity in Greece has been characterized by a series of strong earthquakes with magnitudes up to Mw = 7.0 over the last five years. In this article we focus on these strong events, namely the Mw6.0 Arkalochori (27 September 2021), the Mw6.3 Elassona (3 March 2021), the Mw7.0 Samos (30 October 2020), the Mw5.1 Parnitha (19 July 2019), the Mw6.6 Zakynthos (25 October 2018), the Mw6.5 Kos (20 July 2017) and the Mw6.1 Mytilene (12 June 2017) earthquakes. Based on the probability distributions of interevent times between the successive aftershock events, we investigate the temporal evolution of their aftershock sequences. We use a statistical mechanics model developed in the framework of Non-Extensive Statistical Physics (NESP) to approach the observed distributions. NESP provides a strictly necessary generalization of Boltzmann–Gibbs statistical mechanics for complex systems with memory effects, (multi)fractal geometries, and long-range interactions. We show how the NESP applicable to the temporal evolution of recent aftershock sequences in Greece, as well as the existence of a crossover behavior from power-law (q ≠ 1) to exponential (q = 1) scaling for longer interevent times. The observed behavior is further discussed in terms of superstatistics. In this way a stochastic mechanism with memory effects that can produce the observed scaling behavior is demonstrated. To conclude, seismic activity in Greece presents a series of significant earthquakes over the last five years. We focus on strong earthquakes, and we study the temporal evolution of aftershock sequences of them using a statistical mechanics model. The non-extensive parameter q related with the interevent times distribution varies between 1.62 and 1.71, which suggests a system with about one degree of freedom.
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Research context
OpenAlex topics: Earthquake Detection and Analysis · Statistical Mechanics and Entropy · Complex Systems and Time Series Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Section of Geophysics-Geothermics, Department of Geology and Geoenvironment, National and Kapodistrian University of Athens, Panepistimiopolis, 15784 Athens, Greece
Institute of Physics of Earth’s Interior and Geohazards, UNESCO Chair on Solid Earth Physics and Geohazards Risk Reduction, Hellenic Mediterranean University Research Center, Crete, 73133 Chania, Greece
References (57)
Show source-provided references
1. Analysis of the temporal properties of Greek aftershock sequences10.1016/S0040-1951(01)00221-9 ↗
2. Papazachos, B.C., and Papazachou, C. (2003). The Earthquakes of Greece, Ziti Publications.
3. Tsapanos, T. (2008). Seismicity and Seismic Hazard Assessment in Greece, Springer Science.10.1007/978-1-4020-6815-7_17 ↗
4. Kassaras, I., Kapetanidis, V., Ganas, A., Tzanis, A., Kosma, C., Karakonstantis, A., Valkaniotis, S., Chailas, S., Kouskouna, V., and Papadimitriou, P. (2020). The New Seismotectonic Atlas of Greece (v1.0) and Its Implementation. Geosciences, 10.10.5194/egusphere-egu2020-2220 ↗
5. Vallianatos, F., Michas, G., and Papadakis, G. (2018). Non-Extensive Statistical Seismology: An Overview. Complex. Seism. Time Ser., 25–60.10.1016/B978-0-12-813138-1.00002-X ↗
6. Limnios, N., Papadimitriou, E., and Tsaklidis, G. (2021). Statistical Methods and Modeling of Seismogenesis, ISTE John Wiley.
7. Evidence of non-extensive statistical physics of the lithospheric instability approaching the 2004 Sumatran-Andaman and 2011 Honshu mega-earthquakes10.1016/j.tecto.2013.01.009 ↗
8. Tsallis, C. (2009). Introduction to Non-Extensive Statistical Mechanics: Approaching a Complex World, Springer.
9. Generalization of the Beck-Cohen superstatistics10.1103/PhysRevE.84.051128 ↗
10. A Non-Extensive Statistical Physics View in the Spatiotemporal Properties of the 2003 (Mw6.2) Lefkada, Ionian Island Greece, Aftershock Sequence
11. On the nature and dynamics of the seismogenetic systems of North California, USA: An analysis based on Non-Extensive Statistical Physics10.1016/j.pepi.2017.06.010 ↗
12. Evidence of non-extensivity in the seismicity observed during the 2011–2012 unrest at the Santorini volcanic complex, Greece10.5194/nhess-13-177-2013 ↗
13. A Non-Extensive Statistical Physics View to the Spatiotemporal Properties of the June 1995, Aigion Earthquake (M6.2) Aftershock Sequence (West Corinth Rift, Greece)10.2478/s11600-012-0011-2 ↗
14. Scaling properties of the Mw7.0 Samos (Greece), 2020 aftershock sequence10.1007/s11600-021-00579-5 ↗
15. Nonextensive analysis of aftershocks following moderate earthquakes in Tien Shan and North Pamir10.1134/S0742046321010127 ↗
16. A Non-Extensive approach in investigating Greek seismicity10.12681/bgsg.10973 ↗
17. Application of Statistical Physics in Earth Sciences and Natural Hazards10.2478/s11600-012-0037-5 ↗
18. Possible generalization of Boltzmann-Gibbs statistics10.1007/BF01016429 ↗
19. Maximum likelihood estimation of the non-extensive parameters of the earthquake cumulative magnitude distribution10.1785/0120110093 ↗
20. Chelidze, T., Vallianatos, F., and Telesca, L. (2018). Complexity of Seismic Time Series: Measurement and Application, Elsevier. [1st ed.].
21. Generalized statistical mechanics approaches to earthquake and tectonics10.1098/rspa.2016.0497 ↗
22. Scale-free statistics of time interval between successive earthquakes10.1016/j.physa.2004.10.040 ↗
23. Scale-invariant statistics of period in directed earthquake network10.1140/epjb/e2005-00106-7 ↗
24. Nonadditive entropy and non-extensive statistical mechanics—An overview after 20 years10.1590/S0103-97332009000400002 ↗
25. Superstatistical Brownian Motion10.1143/PTPS.162.29 ↗
26. Experimental evidence of a non-extensive statistical physics behavior of fracture in triaxially deformed Etna basalt using acoustic emissions10.1209/0295-5075/97/58002 ↗
27. Tsallis-Based Nonextensive Analysis of the Southern California Seismicity10.3390/e13071267 ↗
28. Caputo, R., and Pavlides, S. (2022, October 26). The Greek Database of Seismogenic Sources (GreDaSS), Version 2.0.0: A Compilation of Potential Seismogenic Sources (Mw > 5.5) in the Aegean Region. Available online: https://gredass.unife.it/.
29. Magnitude and energy of earthquakes
30. Wyss, M., Wiemer, S., and Zuniga, R. (2022, October 26). Zmap: A Tool for Analyses of Seismicity Patterns, Typical Applications and Uses: A Cookbook. Available online: http//:www.researchgate.net/publication/261508570_cookbook.
31. Avgerinou, S.-E., Anyfadi, E.-A., Michas, G., and Vallianatos, F. (2022, January 17–19). Study of the Frequency Magnitude Distribution of recent Aftershock Sequences of Earthquakes in Greece, in Terms of Tsallis Entropy. Proceedings of the 16th International Congress of the Geological Society of Greece, Patras, Greece.
32. Avgerinou, S.-E. (2021). A Non-Extensive Statistical Physics View to the Temporal Properties of the Recent Aftershock Sequences of Strong Earthquakes in Greece. [Master’s Thesis, Earth Science Department of Geology and Geoenviroment].
33. Vallianatos, F., Michas, G., and Hloupis, G. (2021). Seismicity Patterns Prior to the Thessaly (Mw6. 3) Strong Earthquake on 3 March 2021 in Terms of Multiresolution Wavelets and Natural Time Analysis. Geosciences, 11.10.3390/geosciences11090379 ↗
34. Vallianatos, F., Karakonstantis, A., Michas, G., Pavlou, K., Kouli, M., and Sakkas, V. (2022). On the Patterns and Scaling Properties of the 2021–2022 Arkalochori Earthquake Sequence (Central Crete, Greece) Based on Seismological, Geophysical and Satellite Observations. Appl. Sci., 12.10.3390/app12157716 ↗
35. Aftershock patterns of the 2021 Mw 6.3 Northern Thessaly (Greece) earthquake10.1007/s10950-021-10070-9 ↗
36. The 19 July 2019 earthquake in Athens, Greece: A delayed major aftershock of the 1999 Mw = 6.0 event, or the activation of a different structure?10.1016/j.jog.2020.101766 ↗
37. A statistical space-time-magnitude analysis on the aftershocks occurrence of the 21 July 2017 MW = 6.5 Bodrum-Kos, Turkey, earthquake
38. Lekkas, E., Voulgaris, N., Karydis, P., Tselentis, G.-A., Skourtsos, E., Antoniou, V., Andreadakis, E., Mavroudis, S., Spirou, N., and Speis, F. (2022, September 30). Prelιminary Report, Lesvos Earthquake Mw 6.3, 12 June 2017, Environmental, Disaster and Crisis Management Strategies. Available online: https://paleoseismicity.org/.
39. A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field10.1016/j.physa.2010.12.040 ↗
40. Introduction to the topical issue: Nonadditive entropy and non-extensive statistical mechanics10.1007/s00161-003-0167-8 ↗
41. Is plate tectonics a case of non-extensive thermodynamics?10.1016/j.physa.2010.06.056 ↗
42. Global regionalized seismicity in view of Non-Extensive Statistical Physics10.1016/j.physa.2017.10.020 ↗
43. Superstatistics: Theory and applications
44. Recent developments in superstatistics10.1590/S0103-97332009000400003 ↗
45. Dynamical Foundations of Nonextensive Statistical Mechanics10.1103/PhysRevLett.87.180601 ↗
46. Superstatistics10.1016/S0378-4371(03)00019-0 ↗
47. Evidence of q-exponential statistics in Greek seismici-ty10.1016/j.physa.2014.04.042 ↗
48. A pathway to matrix-variate gamma and normal densities10.1016/j.laa.2004.09.022 ↗
49. Two Singular Diffusion Problems10.2307/1969318 ↗
50. Stochastic modeling of nonstationary earthquake time series with long-term clustering effects10.1103/PhysRevE.98.042107 ↗
51. Gardiner, C.W. (1993). Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences, Springer. [1st ed.].
52. Risken, H. (1989). The Fokker-Planck Equation: Methods of Solution and Applications, Springer. [2nd ed.].10.1007/978-3-642-61544-3 ↗
53. Anyfadi, E.-A., Avgerinou, S.-E., Michas, G., and Vallianatos, F. (2022). Universal Non-Extensive Statistical Physics Temporal Pattern of Major Subduction Zone Aftershock Sequences. Entropy, 24.10.3390/e24121850 ↗
54. A probabilistic framework for quantification of aftershock ground-motion hazard in California: Methodology and parametric study10.1002/eqe.840 ↗
55. Correlation model for spatially distributed ground-motion intensities10.1002/eqe.922 ↗
56. Earthquake magnitude prediction in Hindukush region using machine learning techniques10.1007/s11069-016-2579-3 ↗
57. Examination of seismo-ionospheric anomalies before earthquakes of Mw ≥ 5.1 for the period 2008–2015 in Oaxaca, Mexico using GPS-TEC