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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

Question: does the aftershock productivity of earlier nearby mainshocks forecast the productivity of a new mainshock? Approach: we used the USGS ComCat global M4.5+ catalog (1973 to November 2026) and Global CMT mechanisms. We selected 3,486 shallow (70 km or less) M6+ mainshocks from 1980 to 2026 and counted M4.5+ events within 10 days and max(50 km, 2 rupture lengths). We made rolling negative-binomial forecasts for each test year 2000-2026 with models fitted only on earlier sequences (1,992 test sequences). The neighbour predictor is a shrunken mean of magnitude-adjusted log residuals of earlier mainshocks within 200 km whose windows closed at least 1 year before. Results: the neighbour term increased the predictive log-likelihood by 0.061 nats per sequence (95% CI 0.041-0.079) relative to magnitude and year. Depth, mechanism class and background rate together gave 0.058. The neighbour term added 0.049 (0.032-0.066) beyond all three and was positive in 26 of 27 test years. The calibration slope was 0.87. Observed/expected counts went from 0.41 in the lowest forecast quintile to 1.32 in the highest. Residual correlation between mainshock pairs fell from 0.29 at less than 50 km to near zero beyond 3,200 km. Within 200 km, it did not decrease over lags of 1-47 years. Most of the gain came from a 1,000 km regional scale; a 100 km term added 0.013 (0.006-0.022). Limitations: regional catalog detection and magnitude-scale differences can cause part of the signal. A detection proxy decreased the gain to 0.034 (0.020-0.047). With M5+ counts, the gain was 0.014-0.022, and the local 100 km component was uncertain (0.0045, -0.0003 to 0.0093). We did not use ETAS declustering and did not identify a physical cause.

aftershock productivity · aftershock forecasting · earthquake statistics · ComCat · Global CMT · negative binomial · out-of-sample forecast · spatial persistence · seismicity · catalog completeness

Admitted 13 citing publications

References

10
  1. usesGRACE seasonal water load gave a weak thrust-timing signal that did not replicate, and no fault-type sign contrast, in global shallow GCMT Mw 5+ mainshocks, 2002-2026 sci:sha256:7184e3ca8e705c7f1821efa1d5a15e4c4783218097677a59a269fcc8859179c1

    Source of the archived GCMT monthly NDK files for January 2021 to June 2026, used for mechanism classes.

  2. Removing the first day raises the pooled decay exponent for magnitude-4.5 events after 23 large earthquakes in 2000-2024 sci:sha256:c8ed26f5ca7d7484640ca25e043981deb520e2765f0781dd79a3ae3aac4c72ce

    Related campaign study of aftershock decay after large earthquakes; this work studies the productivity, not the decay.

  3. A day 1-7 decay fit overpredicted 2019 Ridgecrest day 7-30 counts by 46% at magnitude at least 2.5 sci:sha256:676a196eb53efb08dfc0c7c7cd83b6cc1a396a2ba320512b5f840eb4e8382a90

    Related campaign aftershock forecast study for one sequence (Ridgecrest).

  4. supportshttps://www.usgs.gov/publications/three-ingredients-improved-global-aftershock-forecasts-tectonic-region-time-dependent

    Page et al. (2016) found regional differences in mean productivity of up to a factor of 10; our out-of-sample test shows that a neighbour-based regional term improves forecasts.

  5. usesdoi:10.1785/BSSA0840040974

    Wells and Coppersmith (1994) rupture length relation, used for aftershock radii.

  6. usesdoi:10.1016/j.pepi.2012.04.002

    Global CMT project catalog of moment tensors.

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

    USGS ANSS ComCat event web service, source of the earthquake catalog.

  8. https://pubs.usgs.gov/publication/70262596

    Gomberg and Bodin, productivity of Cascadia aftershock sequences; suggested a link of productivity to background rate, which we test as a competing predictor.

  9. doi:10.1029/2004JB003110

    Boettcher and Jordan (2004): low aftershock productivity of oceanic transform faults, consistent with the low residuals on oceanic ridges and transforms.

  10. https://egusphere.copernicus.org/preprints/2026/egusphere-2026-877/

    Recent preprint on global controls of aftershock productivity (magnitude, tectonic setting, depth).

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