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Negative correlation between power-law scaling and Hurst exponents in long-range connective sandpile models and real seismicity

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  • Lee, Ya-Ting
  • Chen, Chien-chih
  • Lin, Chai-Yu
  • Chi, Sung-Ching

Abstract

We propose a generic negative correlation between power-law scaling and Hurst exponents for size/magnitude data from real and synthetic earthquakes. The synthetic earthquakes were produced from a conceptual earthquake model, the long-range connective sandpile (LRCS) model. The LRCS model is a new modification of sandpile models that considers the random distant connection between two separated cells instead of neighboring cells. We calculated the Hurst exponent H and the power-law scaling exponent B for event size data in the LRCS model. We systematically explored the relationships between these two exponents (H and B) and conclusively obtained a negative correlation between H and B. We also found this negative correlation for real earthquake data registered in the Taiwan Central Weather Bureau (CWB) catalog. This negative correlation has not been demonstrated previously for real seismicity, although it has been frequently suggested.

Suggested Citation

  • Lee, Ya-Ting & Chen, Chien-chih & Lin, Chai-Yu & Chi, Sung-Ching, 2012. "Negative correlation between power-law scaling and Hurst exponents in long-range connective sandpile models and real seismicity," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 125-130.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:2:p:125-130
    DOI: 10.1016/j.chaos.2011.10.009
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    References listed on IDEAS

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    1. A. Garber & H. Kantz, 2009. "Finite-size effects on the statistics of extreme events in the BTW model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 437-443, February.
    2. Lee, Ya-Ting & Chen, Chien-chih & Chang, Young-Fo & Chiao, Ling-Yun, 2008. "Precursory phenomena associated with large avalanches in the long-range connective sandpile (LRCS) model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5263-5270.
    3. de Arcangelis, L & Herrmann, H.J, 2002. "Self-organized criticality on small world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 545-549.
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    Cited by:

    1. 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.
    2. Biton, Dionessa C. & Tarun, Anjali B. & Batac, Rene C., 2020. "Comparing spatio-temporal networks of intermittent avalanche events: Experiment, model, and empirical data," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Hayat, Umar & Barkat, Adnan & Ali, Aamir & Rehman, Khaista & Sifat, Shazia & Iqbal, Talat, 2019. "Fractal analysis of shallow and intermediate-depth seismicity of Hindu Kush," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 71-82.

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