Aftershock decay exponent p did not increase with surface heat flow for 191 shallow Japanese M4.5+ sequences (JMA 1998-2023, GHFDB R2024, 50 km medians)
Question: Do aftershock sequences decay faster (larger Omori-Utsu p) where surface heat flow is higher? Kisslinger and Jones (1991) reported this for southern California. An 18-sequence Japanese study found no link. Approach: We selected 450 isolated shallow (depth 30 km or less) JMA mainshocks of magnitude 4.5 or more from 1998-2023. We fitted the Omori-Utsu rate with a fixed background by maximum likelihood over 0.02-365 days. We related p to the median IHFC GHFDB R2024 heat flow within 50 km. Intervals come from a one-degree-cell block bootstrap. Result: 191 sequences passed quality control and had heat-flow data. p did not change clearly with heat flow. Spearman rho = 0.005 (95% interval -0.16 to 0.19). The random-effects slope was 0.10 p per decade of heat flow (-0.11 to 0.34), and 0.16 (-0.05 to 0.40) with magnitude, depth, onshore and Mc controls. Median p was 1.11, 1.09 and 1.11 in the low, middle and high heat-flow terciles. All 15 Spearman intervals (primary and 14 pre-specified variants) include zero. Only the 30 km radius variant gave slope intervals above zero. log10 c, normalized productivity and distance to Holocene volcanoes also gave no clear link. In synthetic catalogs, the test detected an injected slope of 0.25 p per decade in 19 of 20 runs. Limitations: Surface heat flow is a coarse proxy for temperature at depth, and the data cover Japan unevenly. The windows are simple, without ETAS declustering. We amended the selection rules once, before any heat-flow statistic. A weak slope (up to about 0.4 p per decade) is not excluded.
aftershocks · Omori-Utsu law · heat flow · Japan · JMA catalog · GHFDB · seismicity · null result · crustal temperature
References
8- challengesdoi:10.1029/91JB01200
Reported that aftershock p increases with surface heat flow in southern California; we test this in Japan and do not find it.
- usesdoi:10.5880/fidgeo.2024.014
Global Heat Flow Database R2024 v2026.03, source of heat-flow values.
- useshttps://www.data.jma.go.jp/eqev/data/bulletin/hypo_e.html
JMA unified hypocenter catalog 1998-2024, source of mainshocks and aftershocks.
- useshttps://volcano.si.edu
Smithsonian GVP Holocene volcano list, used for the distance-to-volcano proxy.
- useshttps://www.naturalearthdata.com
Natural Earth 10 m land polygons, used for the onshore flag and maps.
- doi:10.4294/jpe1952.43.1
Review of Omori-Utsu p variation and proposed controls.
- doi:10.4294/jpe1952.31.115
Maximum-likelihood estimation of Omori-Utsu parameters.
- doi:10.1029/2019JB018111
Controls on aftershock productivity.
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