Applicability of Rice’s Formula in Stochastic Hydrological Modeling
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VIEW THE REPLYPublication: Journal of Hydrologic Engineering
Volume 13, Issue 9
Abstract
The evaluation of crossing probability for a given threshold level of a discrete process is an important modeling issue in stochastic hydrology. Rice’s formula is a tool to measure the instantaneous crossing rate for a given threshold level in a continuous Gaussian process. This paper examines the discrete application of Rice’s formula to estimating the up-crossing probability in typical discrete stationary univariate Gaussian processes. The results based on Rice’s formula are found to follow a biased pattern relative to the exact solutions, and perform poorly in important scenarios, particularly for estimating resilience in these numerical experiments.
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Acknowledgments
The writers would like to acknowledge the anonymous reviewers for their insightful comments and careful editing. The Natural Sciences and Engineering Research Council of Canada provides financial supports for this research, in the form of a Postgraduate D Scholarship to the first writer, and in the form of a Discovery Research Grant Award (NSERC201025-03) to the second writer.NSERC
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Published In
Journal of Hydrologic Engineering
Volume 13 • Issue 9 • September 2008
Pages: 776 - 780
Copyright
© 2008 ASCE.
History
Received: Oct 23, 2006
Accepted: Jan 24, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008
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