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• W3102940294 abstract "ABSTRACT The epidemic-type aftershock sequence model with tapered Gutenberg–Richter (ETAS-TGR)-distributed seismic moments is a modification of the classical ETAS-GR (without tapering) proposed by Kagan in 2002 to account for the finiteness of the deformational energy in the earthquake process. In this article, I analyze the stability of the ETAS-TGR model by explicitly computing the relative branching ratio ηTGR: it has to be set less than 1 for the process not to explode, in fact in the ETAS-TGR model, the critical parameter equals the branching ratio as it happens for the ETAS-GR, due to the rate separability in the seismic moments component. When the TGR parameter βk=23ln10β is larger than the fertility parameter αk=23ln10α, respectively obtained from the GR and the productivity laws by translating moment magnitudes into seismic moments, the ETAS-TGR model results to have less restrictive nonexplosion conditions than in the ETAS-GR case. Furthermore, differently from the latter case in which it must hold β&gt;α for ηGR to exist finite, any order relation for βk and αk (equivalently, for β,α) is admissible for the stability of the ETAS-TGR process; indeed ηTGR is well defined and finite for any βk,αk. This theoretical result is strengthened by a simulation analysis I performed to compare three ETAS-TGR synthetic catalogs generated with βk⋚αk. The branching ratio ηTGR is shown to decrease as the previous parameter difference increases, reflecting: (1) a lower number of aftershocks, among which a lower percentage of first generation shocks; (2) a lower corner seismic moment for the moment–frequency distribution; and (3) a longer temporal window occupied by the aftershocks. The less restrictive conditions for the stability of the ETAS-TGR seismic process represent a further reason to use this more realistic model in forecasting applications." @default.
• W3102940294 created "2020-11-23" @default.
• W3102940294 creator A5044903344 @default.
• W3102940294 date "2020-11-10" @default.
• W3102940294 modified "2023-10-18" @default.
• W3102940294 title "Stability of the Epidemic-Type Aftershock Sequence Model with Tapered Gutenberg–Richter Distributed Seismic Moments" @default.
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• W3102940294 doi "https://doi.org/10.1785/0120200012" @default.
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