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Comparison of the Hurst and DEA exponents between the catalogue and its clusters: The California case

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  • Jiménez, Abigail

Abstract

In this work, we analyse the long-run correlations of the seismic catalogue and of its clusters, by means of the Diffusion Entropy Analysis (DEA) and the value of the Hurst exponent. First we calculate the values for the whole catalogue, for the rate and the inter-event times and distance distribution over time, and subsequently we calculate the values for the declustered catalogue and the main clusters. We find a wide variety of behaviours, which depart from the Poisson statistics.

Suggested Citation

  • Jiménez, Abigail, 2011. "Comparison of the Hurst and DEA exponents between the catalogue and its clusters: The California case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2146-2154.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:11:p:2146-2154
    DOI: 10.1016/j.physa.2011.01.023
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    References listed on IDEAS

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    1. Tsai, Ching-Yi & Shieh, Chiou-Fen, 2008. "A study of the time distribution of inter-cluster earthquakes in Taiwan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5561-5566.
    2. Yosihiko Ogata, 1998. "Space-Time Point-Process Models for Earthquake Occurrences," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(2), pages 379-402, June.
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    1. Jiménez, Abigail, 2013. "A complex network model for seismicity based on mutual information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2498-2506.
    2. Gkarlaouni, Charikleia & Lasocki, Stanislaw & Papadimitriou, Eleftheria & George, Tsaklidis, 2017. "Hurst analysis of seismicity in Corinth rift and Mygdonia graben (Greece)," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 30-42.
    3. Martín-Montoya, L.A. & Aranda-Camacho, N.M. & Quimbay, C.J., 2015. "Long-range correlations and trends in Colombian seismic time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 124-133.

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