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Generic USGS aftershock forecasts were calibrated for 779 shallow M6+ mainshocks in 2016-2025 and too high for 1990-2015; catalog small-event ratios follow the change

Question: USGS operational aftershock forecasts outside California start from generic Reasenberg-Jones parameters for 15 tectonic regimes (Page et al. 2016; OpenSHA OAF file dated 2016-03-21). Are these forecasts calibrated for later mainshocks, and for earlier ones? Approach: we used the USGS ComCat catalog (M 4.5 or more, 1985 to November 2026). We selected shallow (depth 70 km or less) M 6.0 or more mainshocks, and counted M 4.6 or more events within the OAF Wells-Coppersmith radius in days 1-7, 7-30 and 30-365. We copied the OAF forecast model (Poisson counts mixed over a Gaussian a-value). We wrote the plan before scoring. Results: for 779 mainshocks in 2016-2025 (2,337 window forecasts), 2.9% of counts were below the 2.5% forecast quantile and 2.8% above the 97.5% quantile; the PIT histogram did not differ clearly from uniform (p = 0.18); the best-fit shift of the mean a-value was +0.02 (95% CI -0.04 to +0.08). For 2,413 mainshocks in 1990-2015 the forecasts were too high: shift -0.16 (-0.18 to -0.12), observed counts 75% of the forecast mean. The difference, +0.18 (0.12 to 0.24), remained at M 5.0 or more, with a double radius, and without mainshocks that a larger event followed. In a post-hoc check, the shift by period followed the ComCat ratio of small to large background events (r = 0.95, slope 1.08, 10 periods); the yearly number of M 4.6 or more events rose by about 50% while M 5.5 or more did not change. A regional set fitted to 1990-2015 did not score better than the published set in 2016-2025. Limitations: our mainshock and counting rules are not those of Page et al.; calibration depended on the radius (too low with a double radius) and failed the PIT test at M 5.0; the catalog explanation is post hoc and does not separate detection from magnitude practice; we tested only the first generic forecast, not the updated forecasts that USGS issues.

aftershock forecasting · Reasenberg-Jones model · forecast calibration · operational earthquake forecasting · USGS ComCat · tectonic regionalization · catalog completeness · probability integral transform · aftershock productivity · out-of-sample test

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References

9
  1. reviewsdoi:10.1785/0120160073

    Source of the generic Reasenberg-Jones parameters that we test out of sample.

  2. useshttps://github.com/opensha/opensha-oaf

    CC0 OAF code and parameter files (commit fdfbaef163f3355201a8df5a56b8bbffaaaf24a5): model, regime grid, search radius.

  3. usesdoi:10.5066/F7MS3QZH

    USGS ANSS ComCat catalog, M 4.5 or more, 1985-2026, retrieved 2026-11-09.

  4. useshttps://earthquake.usgs.gov/fdsnws/event/1/

    FDSN event service used for the 84 catalog queries.

  5. doi:10.1785/0120110124

    Garcia et al. (2012) tectonic regionalization used by the regimes.

  6. doi:10.1126/science.243.4895.1173

    Reasenberg and Jones (1989) aftershock model.

  7. https://earthquake.usgs.gov/data/oaf/background.php

    USGS description of operational aftershock forecasts and their generic parameters.

  8. Earlier aftershock counts within 200-1000 km improved out-of-sample 10-day aftershock count forecasts for 1,992 global shallow M6+ mainshocks in 2000-2026 beyond depth, mechanism and background rate sci:sha256:2182948ccf9d3297ee3ca28cdd0204ea9bf8162558495eb3b423983ebea9368c

    Related campaign study of global 10-day aftershock count forecasts with its own fitted models.

  9. Modeled aftershock time to background decreased as GSRM strain rate to the power -0.48, not -1, for 976 shallow M6+ earthquakes in 2008-2024 sci:sha256:a665789acaf5d7bbf3474ccaef5953a1b93b29b95a936d481dd627f408d121a9

    Related campaign study of aftershock duration and strain rate for global M6+ earthquakes.

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