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Visibility graph analysis of 2002–2011 Pannonian seismicity

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  • Telesca, Luciano
  • Lovallo, Michele
  • Toth, Laszlo

Abstract

The Visibility Graph (VG) properties of the seismic sequence which occurred in Pannonia from 2002 to 2011 have been put in a relationship with the seismic parameter b-value derived from the Gutenberg–Richter law; this law, which is the frequency–magnitude distribution, represents the main characteristic of a seismic sequence. It is found that between the b-value of the Pannonian seismicity and the slope of the least square fitting line of the k–M plot (which is the relationship between the magnitude M of each event and its connectivity degree k) there exists a close relationship. The relationship is valid for two depth classes of events, shallow (depth less than 40 km) and deep (depth larger than 70 km), for which different mechanisms of earthquake generation exist. These results confirm similar findings already obtained for the seismicity in different areas of Mexico (Telesca et al., 2013), suggesting the existence of a universal law.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:219-224
    DOI: 10.1016/j.physa.2014.08.048
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    References listed on IDEAS

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    1. Andriana S L O Campanharo & M Irmak Sirer & R Dean Malmgren & Fernando M Ramos & Luís A Nunes Amaral, 2011. "Duality between Time Series and Networks," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-13, August.
    2. Pierini, Jorge O. & Lovallo, Michele & Telesca, Luciano, 2012. "Visibility graph analysis of wind speed records measured in central Argentina," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 5041-5048.
    3. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Flores-Marquez, Leticia, 2013. "Investigating the time dynamics of seismicity by using the visibility graph approach: Application to seismicity of Mexican subduction zone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6571-6577.
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    Cited by:

    1. Serinaldi, Francesco & Kilsby, Chris G., 2016. "Irreversibility and complex network behavior of stream flow fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 585-600.
    2. 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.
    3. Braga, A.C. & Alves, L.G.A. & Costa, L.S. & Ribeiro, A.A. & de Jesus, M.M.A. & Tateishi, A.A. & Ribeiro, H.V., 2016. "Characterization of river flow fluctuations via horizontal visibility graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 1003-1011.
    4. Gao, Meng & Ge, Ruijun, 2024. "Mapping time series into signed networks via horizontal visibility graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

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