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Multi-scale cross-correlation analysis of temporal and spatial seismic data

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Abstract

We investigate the cross-correlation relationships between temporal and spatial seismic data by employing detrended cross-correlation analysis (DCCA) and temporal evolution of detrended cross-correlation analysis (TDCCA). The mentioned data are the series of inter-earthquakes times (IET) and inter-earthquakes distances (IED) between consecutive earthquakes in California and Sumatra regions from 1990 to 2013. Through cross-correlation test, we find long-range cross-correlation between IET and IED. We find the DCCA cross-correlation coefficient ρDCCA between them is significantly positive with the change of scale. The TDCCA between two series demonstrates cross-correlations on different window size scales over time. Strong cross-correlation levels between IET and IED on different window sizes are observed for the time periods after the big earthquakes occurred, while there are weak or no cross-correlation before and after the periods.

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References

  1. H. Kawamura, T. Hatano, N. Kato, S. Biswas, B.K. Chakrabarti, Rev. Mod. Phys. 84, 839 (2012)

    Article  ADS  Google Scholar 

  2. M.D. Petersen, Y.H. Zeng, K.M. Haller, R. McCaffrey, W.C. Hammond, P. Bird, M. Moschetti, Z.K. Shen, J. Bormann, W. Thatcher, U.S. Geological Survey Open-File Report 2013–1293, 2014

  3. L. Telesca, M. Lovallo, C. Lopez, J.M. Molist, Tectonophysics 672–673, 121 (2016)

    Article  ADS  Google Scholar 

  4. A. Corral, Phys. Rev. Lett. 92, 108501 (2004)

    Article  ADS  Google Scholar 

  5. A. Corral, Phys. Rev. Lett. 97, 178501 (2006)

    Article  ADS  Google Scholar 

  6. V.N. Livina, S. Havlin, A. Bunde, Phys. Rev. Lett. 95, 208501 (2005)

    Article  ADS  Google Scholar 

  7. E. Lippiello, L. de Arcangelis, C. Godano, Phys. Rev. Lett. 100, 038501 (2008)

    Article  ADS  Google Scholar 

  8. A. Corral, Tectonophysics 424, 177 (2006)

    Article  ADS  Google Scholar 

  9. S. Shadkhoo, G.R. Jafari, Eur. Phys. J. B 72, 679 (2009)

    Article  ADS  Google Scholar 

  10. T. Matcharashvili, T. Chelidze, Z. Javakhishvili, N. Zhukova, Physica A 449, 136 (2016)

    Article  ADS  Google Scholar 

  11. L.A. Martín-Montoya, N.M. Aranda-Camacho, C.J. Quimbay, Physica A 421, 124 (2015)

    Article  Google Scholar 

  12. S. Lennartz, V.N. Livina, A. Bunde, S. Havlin, Europhys. Lett. 81, 69001 (2008)

    Article  ADS  Google Scholar 

  13. N.V. Sarlis, E.S. Skordas, P.A. Varotsos, T. Nagao, M. Kamogawa, S. Uyeda, Proc. Natl. Acad. Sci. USA 112, 986 (2015)

    Article  ADS  Google Scholar 

  14. I. Zaliapin, Y. Ben-Zion, Geophys. J. Int. 202, 1949 (2015)

    Article  ADS  Google Scholar 

  15. M. Lin, X.X. Fan, G. Wang, G. Zhao, Eur. Phys. J. B 89, 131 (2016)

    Article  ADS  Google Scholar 

  16. X.X. Fan, M. Lin, Physica A 479, 225 (2017)

    Article  ADS  Google Scholar 

  17. C. Godano, V. Caruso, Geophys. J. Int. 121, 385 (1995)

    Article  ADS  Google Scholar 

  18. G. Michas, P. Sammonds, F. Vallianatos, Pure Appl. Geophys. 172, 1909 (2015)

    Article  ADS  Google Scholar 

  19. L. Telesca, L. Toth, Physica A 448, 21 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  20. L. Telesca, V. Lapenna, M. Macchiato, Chaos Solitons Fractals 19, 1 (2004)

    Article  ADS  Google Scholar 

  21. L. Telesca, M. Macchiato, Chaos Solitons Fractals 19, 377 (2004)

    Article  ADS  Google Scholar 

  22. L. Telesca, M. Lovallo, V. Lapenna, M. Macchiato, Physica A 377, 279 (2007)

    Article  ADS  Google Scholar 

  23. J. Alvarez-Ramirez, J.C. Echeverria, A. Ortiz-Cruz, E. Hernandez, J. Geodyn. 54, 1 (2012)

    Article  Google Scholar 

  24. B. Podobnik, I. Grosse, D. Horvatić, S. Ilic, P.Ch. Ivanov, H.E. Stanley, Eur. Phys. J. B 71, 243 (2009)

    Article  ADS  Google Scholar 

  25. G.F. Zebende, Physica A 390, 614 (2011)

    Article  ADS  Google Scholar 

  26. B. Podobnik, H.E. Stanley, Phys. Rev. Lett. 100, 084102 (2008)

    Article  ADS  Google Scholar 

  27. N. Yuan, E. Xoplaki, C. Zhu, Sci. Rep. 6, 27707 (2016)

    Article  ADS  Google Scholar 

  28. S. Biswas, L. Goehring, Phil. Trans. R. Soc. A 377, 20170388 (2018)

    Article  ADS  Google Scholar 

  29. E. Marekova, Acta Geophys. 62, 1262 (2014)

    Article  ADS  Google Scholar 

  30. B. Podobnik, Z.Q. Jiang, W.X. Zhou, H.E. Stanley, Phys. Rev. E 84, 066118 (2011)

    Article  ADS  Google Scholar 

  31. D. Horvatic, H.E. Stanley, B. Podobnik, Europhys. Lett. 94, 18007 (2011)

    Article  ADS  Google Scholar 

  32. A.S.S.Paiva, M.A.R. Castro, R.F.S. Andrade, Physica A 490, 1408 (2018)

    Article  ADS  Google Scholar 

  33. E.F. Guedes, G.F. Zebende, Physica A 527, 121286 (2019)

    Article  Google Scholar 

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Correspondence to Min Lin.

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Lin, M., Qin, J. & Wang, G. Multi-scale cross-correlation analysis of temporal and spatial seismic data. Eur. Phys. J. B 93, 48 (2020). https://doi.org/10.1140/epjb/e2020-100536-5

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  • DOI: https://doi.org/10.1140/epjb/e2020-100536-5

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