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Research Article

Global risk of big earthquakes has not recently increased

Peter M. Shearer and Philip B. Stark
  1. aScripps Institution of Oceanography, University of California, San Diego, La Jolla, CA 92093-0225; and
  2. bDepartment of Statistics, University of California, Berkeley, CA 94720-3860

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PNAS January 17, 2012 109 (3) 717-721; https://doi.org/10.1073/pnas.1118525109
Peter M. Shearer
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  • For correspondence: pshearer@ucsd.edu
Philip B. Stark
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  1. Contributed by Peter M. Shearer, November 12, 2011 (sent for review September 27, 2011)

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    Fig. 1.

    (A) Global earthquake magnitudes since 1900 after regional declustering of events. (B)–(D) Yearly rates of M≥8, M≥7.5, and M≥7 earthquakes. Rates are five-year running averages.

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    Table 1.

    Estimated p values for the hypothesis that times of events in the original and regionally declustered catalogs are independent, identically distributed uniform random variables, for several hypothesis tests

    Magnitude thresholdRemovedEventsEstimated p value
    KSPDMC
    7.0none17560.0%0.0%8.6%
    AS7597.5%76.6%71.4%
    AS, FS50216.7%83.4%60.8%
    7.5none44422.9%24.1%62.0%
    AS33094.0%88.8%10.0%
    AS, FS26882.3%95.1%56.3%
    8.0none8233.8%79.1%25.7%
    AS7560.3%89.4%22.3%
    AS, FS7249.0%89.8%34.4%

    Column 1: Magnitude threshold. Column 2: Events removed by declustering: “AS” means aftershocks were removed, “AS, FS” means both aftershocks and foreshocks were removed, and “none” means there was no declustering. Column 3: Events in the catalog with magnitude greater than or equal to the threshold, after any declustering. Column 4: p value for the Kolmogorov-Smirnov test. Column 5: p value for the Poisson dispersion test using 100 windows. Column 6: p value for the multinomial chi-square test using 100 windows. Each estimated p value is the percentile of the observed value of the corresponding test statistic among 100,000 values of that statistic obtained in simulations in which event times are independent, identically distributed uniform random variables. The standard error of the estimated p values is on the order of 0.16%.

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    Global risk of big earthquakes has not recently increased
    Peter M. Shearer, Philip B. Stark
    Proceedings of the National Academy of Sciences Jan 2012, 109 (3) 717-721; DOI: 10.1073/pnas.1118525109

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    Global risk of big earthquakes has not recently increased
    Peter M. Shearer, Philip B. Stark
    Proceedings of the National Academy of Sciences Jan 2012, 109 (3) 717-721; DOI: 10.1073/pnas.1118525109
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    • How many great earthquakes should we expect?
      - Jan 17, 2012
    Proceedings of the National Academy of Sciences: 109 (3)
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    • Article
      • Abstract
      • Catalog and Local Declustering Method
      • Magnitude Versus Time
      • Monte Carlo Tests
      • Tests of the Poisson Hypothesis
      • Sensitivity to Declustering Parameters
      • Discussion
      • Acknowledgments
      • Footnotes
      • References
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