Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals

Details Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals

Feb 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3104502s&link_type=abstract

Geophysical Research Letters, Volume 31, Issue 4, CiteID L04502

Physics

Geophysics

7

Hydrology: Floods, Hydrology: Stochastic Processes, Mathematical Geophysics: Modeling, Meteorology And Atmospheric Dynamics: Theoretical Modeling, Meteorology And Atmospheric Dynamics: Precipitation (1854)

Scientific paper

An analytical derivation of the storm volume distribution is given. The single storm is modeled as a rectangular pulse having non-independent random duration and intensity. The structure of the dependence between storm duration and intensity is given via a suitable 2-Copula, and the marginal distributions are endowed with Generalized Pareto laws, as recently pointed out in the hydrological Literature. The statistical properties of the rainfall volume are investigated, both analytically and using simulated samples; an application to rainfall data is also shown.

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