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Time window to constrain the corner value of the global seismic-moment distribution

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  • Álvaro Corral
  • Isabel Serra

Abstract

It is well accepted that, at the global scale, the Gutenberg-Richter (GR) law describing the distribution of earthquake magnitude or seismic moment has to be modified at the tail to properly account for the most extreme events. It is debated, though, how much additional time of earthquake recording will be necessary to properly constrain this tail. Using the global CMT catalog, we study how three modifications of the GR law that incorporate a corner-value parameter are compatible with the size of the largest observed earthquake in a given time window. Current data lead to a rather large range of parameter values (e.g., corner magnitude from 8.6 to 10.2 for the so-called tapered GR distribution). Updating this estimation in the future will strongly depend on the maximum magnitude observed, but, under reasonable assumptions, the range will be substantially reduced by the end of this century, contrary to claims in previous literature.

Suggested Citation

  • Álvaro Corral & Isabel Serra, 2019. "Time window to constrain the corner value of the global seismic-moment distribution," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-15, August.
  • Handle: RePEc:plo:pone00:0220237
    DOI: 10.1371/journal.pone.0220237
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    References listed on IDEAS

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    1. Corral, Álvaro, 2015. "Scaling in the timing of extreme events," Chaos, Solitons & Fractals, Elsevier, vol. 74(C), pages 99-112.
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    Cited by:

    1. Corral, Álvaro, 2024. "Moments of undersampled distributions: Application to the size of epidemics," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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