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Investigation of the temporal correlations between earthquake magnitudes before the Mexico M8.2 earthquake on 7 September 2017

Author

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  • Sarlis, Nicholas V.
  • Skordas, Efthimios S.
  • Varotsos, Panayiotis A.
  • Ramírez-Rojas, Alejandro
  • Flores-Márquez, E. Leticia

Abstract

By employing Detrended Fluctuation Analysis (DFA), which has been established as a standard method to investigate long range correlations in nonstationary time series, we study the temporal correlations between the magnitudes of the earthquakes that occurred before the recent deadly Mexico M8.2 earthquake on 7 September 2017 in Chiapas region. Our aim here is to shed light on the origin of the following precursory phenomenon found in our previous publication (Sarlis et al., 2018): Upon considering the analysis of seismicity in the new time domain termed natural time, it was shown that the entropy change of seismicity under time reversal exhibited an important minimum almost 3 months before this major earthquake. Here the application of DFA to earthquake magnitude time series reveals that this minimum of the entropy change of seismicity is preceded as well as followed by characteristic changes of temporal correlations between earthquake magnitudes, which are quantified by the DFA exponent α. In particular, before this minimum the long range correlations breakdown to an almost random behavior possibly turning to anticorrelation (α≤0.5) while after the minimum (and before the major M8.2 earthquake) long range correlations develop with an exponent α between 0.6 and 0.7.

Suggested Citation

  • Sarlis, Nicholas V. & Skordas, Efthimios S. & Varotsos, Panayiotis A. & Ramírez-Rojas, Alejandro & Flores-Márquez, E. Leticia, 2019. "Investigation of the temporal correlations between earthquake magnitudes before the Mexico M8.2 earthquake on 7 September 2017," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 475-483.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:475-483
    DOI: 10.1016/j.physa.2018.11.041
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    References listed on IDEAS

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    1. Ashkenazy, Yosef & Havlin, Shlomo & Ivanov, Plamen Ch. & Peng, Chung-K. & Schulte-Frohlinde, Verena & Stanley, H.Eugene, 2003. "Magnitude and sign scaling in power-law correlated time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 19-41.
    2. Sarlis, Nicholas V. & Skordas, Efthimios S. & Varotsos, Panayiotis A. & Ramírez-Rojas, Alejandro & Flores-Márquez, E. Leticia, 2018. "Natural time analysis: On the deadly Mexico M8.2 earthquake on 7 September 2017," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 625-634.
    3. Ashkenazy, Yosef & M. Hausdorff, Jeffrey & Ch. Ivanov, Plamen & Eugene Stanley, H, 2002. "A stochastic model of human gait dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 662-670.
    4. F. Caruso & H. Kantz, 2011. "Prediction of extreme events in the OFC model on a small world network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(1), pages 7-11, January.
    5. Hu, Kun & Ivanov, Plamen Ch. & Chen, Zhi & Hilton, Michael F. & Stanley, H.Eugene & Shea, Steven A., 2004. "Non-random fluctuations and multi-scale dynamics regulation of human activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 307-318.
    6. Ivanova, K & Ausloos, M, 1999. "Application of the detrended fluctuation analysis (DFA) method for describing cloud breaking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 349-354.
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