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| Titel |
A collection of R-tools for constructing Probabilistic Envelope Curves for hydrological extremes |
| VerfasserIn |
B. Guse, A. Castellarin |
| Konferenz |
EGU General Assembly 2012
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 14 (2012) |
| Datensatznummer |
250069218
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| Zusammenfassung |
| Envelope curves are traditional hydrological graphical tools used to summarize the current bound on our experience of extreme floods in a region. Castellarin et al. [2005] introduced Probabilistic Regional Envelope Curves (PRECs) and formulated an empirical estimator of the recurrence interval T associated with the curves themselves. PRECs can be used to estimate the T-year flood (design-flood) for any basin in a given region as a function of the catchment area alone. We present a collection of R-functions that can be used for (1) constructing the empirical envelope curve of flood flows for a given hydrological region and (2) estimating the curve’s T on the basis of a mathematical representation of the cross-correlation structure of observed flood sequences. The functions implement the algorithm proposed in Castellarin [2007], providing the user with a straightforward means for predicting the design flood in any ungauged basin in the region for large and very large T values. Furthermore, the algorithm can be easily coupled with other regional flood frequency analysis procedures to effectively improve the accuracy of flood quantile estimates at high T values [Guse et al., 2010], or extended to rainfall extremes for predicting extreme point-rainfall depths associated with a given duration and recurrence interval in any ungauged site within a region [Viglione et al., 2012].
References:
Castellarin, A. (2007): Probabilistic envelope curves for design flood estimation at ungauged sites, Water Resour. Res., 43, W04406.
Castellarin, A., Vogel, R.M., Matalas, N.C. (2005): Probabilistic behavior of a regional envelope curve, Water Resour. Res., 41, W06018.
Guse, B., Hofherr, T., Merz, B. (2010): Introducing empirical and probabilistic regional envelope curves into a mixed bounded distribution function, Hydrol. Earth Syst. Sci., 14, 2465-2478.
Viglione, A., Castellarin, A., Rogger, M., Merz, R., Blöschl, G. (2012): Extreme rainstorms: Comparing regional envelope curves to stochastically generated events, Water Resour. Res., 48, W01509. |
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