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1 Department of Civil & Environmental
Engineering
Imperial College London
South Kensington campus
London SW7
2AZ, United Kingdom
(J.J.B.)
2 Inst.
Geowissenschaften
Universität Potsdam
P.O. Box 601553
D-14415,
Potsdam, Germany
(F.S.)
3 NORSAR/ICG
P.O. Box 53
N-2027
Kjeller, Norway
(H.B.)
4 Laboratoire de Géophysique
Interne et Tectonophysique
Université Joseph Fourier
BP 53,
F-38041, Grenoble, France
(F.C.)
5 Dipartimento della Protezione
Civile
Servizio Sismico Nazionale
Via Vitorchiano 4
Rome 00189,
Italy
(F.S.)
6 Geosciences Department
Pacific Gas
& Electricity Co.
San Francisco, California 94177
(N.A.A.)
Logic trees are widely used in probabilistic seismic hazard analysis as a tool to capture the epistemic uncertainty associated with the seismogenic sources and the ground-motion prediction models used in estimating the hazard. Combining two or more ground-motion relations within a logic tree will generally require several conversions to be made, because there are several definitions available for both the predicted ground-motion parameters and the explanatory parameters within the predictive ground-motion relations. Procedures for making conversions for each of these factors are presented, using a suite of predictive equations in current use for illustration. The sensitivity of the resulting ground-motion models to these conversions is shown to be pronounced for some of the parameters, especially the measure of source-to-site distance, highlighting the need to take into account any incompatibilities among the selected equations. Procedures are also presented for assigning weights to the branches in the ground-motion section of the logic tree in a transparent fashion, considering both intrinsic merits of the individual equations and their degree of applicability to the particular application.
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