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Multifractal detrended fluctuation analysis of Pannonian earthquake magnitude series

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  • Telesca, Luciano
  • Toth, Laszlo

Abstract

The multifractality of the series of magnitudes of the earthquakes occurred in Pannonia region from 2002 to 2012 has been investigated. The shallow (depth less than 40 km) and deep (depth larger than 70 km) seismic catalogues were analysed by using the multifractal detrended fluctuation analysis. The shallow and deep catalogues are characterized by different multifractal properties: (i) the magnitudes of the shallow events are weakly persistent, while those of the deep ones are almost uncorrelated; (ii) the deep catalogue is more multifractal than the shallow one; (iii) the magnitudes of the deep catalogue are characterized by a right-skewed multifractal spectrum, while that of the shallow magnitude is rather symmetric; (iv) a direct relationship between the b-value of the Gutenberg–Richter law and the multifractality of the magnitudes is suggested.

Suggested Citation

  • Telesca, Luciano & Toth, Laszlo, 2016. "Multifractal detrended fluctuation analysis of Pannonian earthquake magnitude series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 21-29.
    • Handle: RePEc:eee:phsmap:v:448:y:2016:i:c:p:21-29
    DOI: 10.1016/j.physa.2015.12.095
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    References listed on IDEAS

    as
    1. Telesca, Luciano & Lovallo, Michele & Toth, Laszlo, 2014. "Visibility graph analysis of 2002–2011 Pannonian seismicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 219-224.
    2. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    3. Juan Luis Lopez & Jesus Guillermo Contreras, 2013. "Performance of multifractal detrended fluctuation analysis on short time series," Papers 1311.2278, arXiv.org.
    4. Aggarwal, S.K. & Lovallo, Michele & Khan, P.K. & Rastogi, B.K. & Telesca, Luciano, 2015. "Multifractal detrended fluctuation analysis of magnitude series of seismicity of Kachchh region, Western India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 56-62.
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    Cited by:

    1. Zhang, Xiaonei & Zeng, Ming & Meng, Qinghao, 2018. "Multivariate multifractal detrended fluctuation analysis of 3D wind field signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 513-523.
    2. Shaw, Pankaj Kumar & Saha, Debajyoti & Ghosh, Sabuj & Janaki, M.S. & Iyengar, A.N. Sekar, 2017. "Investigation of multifractal nature of floating potential fluctuations obtained from a dc glow discharge magnetized plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 363-371.
    3. Ke Ma & Long Guo & Wangheng Liu, 2018. "Investigation of the Spatial Clustering Properties of Seismic Time Series: A Comparative Study from Shallow to Intermediate-Depth Earthquakes," Complexity, Hindawi, vol. 2018, pages 1-10, November.

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