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Date
2007-12-14Type
- Working Paper
ETH Bibliography
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Abstract
We develop an efficient numerical scheme to solve accurately the set of nonlinear integral equations derived previously in (Saichev and Sornette, 2007), which describes the distribution of inter-event times in the framework of a general model of earthquake clustering with long memory. Detailed comparisons between the linear and nonlinear versions of the theory and direct synthetic catalogs show that the nonlinear theory provides an excellent fit to the synthetic catalogs, while there are significant biases resulting from the use of the linear approximation. We then address the suggestions proposed by some authors to use the empirical distribution of inter-event times to obtain a better determination of the so-called clustering parameter. Our theory and tests against synthetic and empirical catalogs find a rather dramatic lack of power for the distribution of inter-event times to distinguish between quite different sets of parameters, casting doubt on the usefulness of this statistics for the specific purpose of identifying the clustering parameter. Show more
Publication status
publishedJournal / series
arXivPages / Article No.
Publisher
Cornell UniversitySubject
earthquakes; integral equations; nonlinear equations; seismologyOrganisational unit
03738 - Sornette, Didier (emeritus) / Sornette, Didier (emeritus)
Related publications and datasets
Is previous version of: http://hdl.handle.net/20.500.11850/161997
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ETH Bibliography
yes
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