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Introducing Empirical and Probabilistic Regional Envelope Curves Into a Mixed Bounded Distribution Function : Volume 14, Issue 12 (09/12/2010)

By Guse, B.

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Book Id: WPLBN0003982044
Format Type: PDF Article :
File Size: Pages 14
Reproduction Date: 2015

Title: Introducing Empirical and Probabilistic Regional Envelope Curves Into a Mixed Bounded Distribution Function : Volume 14, Issue 12 (09/12/2010)  
Author: Guse, B.
Volume: Vol. 14, Issue 12
Language: English
Subject: Science, Hydrology, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Hofherr, T., Merz, B., & Guse, B. (2010). Introducing Empirical and Probabilistic Regional Envelope Curves Into a Mixed Bounded Distribution Function : Volume 14, Issue 12 (09/12/2010). Retrieved from

Description: Deutsches GeoForschungsZentrum Potsdam GFZ, Section 5.4 – Hydrology, Telegrafenberg, 14473 Potsdam, Germany. A novel approach to consider additional spatial information in flood frequency analyses, especially for the estimation of discharges with recurrence intervals larger than 100 years, is presented. For this purpose, large flood quantiles, i.e. pairs of a discharge and its corresponding recurrence interval, as well as an upper bound discharge, are combined within a mixed bounded distribution function. The large flood quantiles are derived using probabilistic regional envelope curves (PRECs) for all sites of a pooling group. These PREC flood quantiles are introduced into an at-site flood frequency analysis by assuming that they are representative for the range of recurrence intervals which is covered by PREC flood quantiles. For recurrence intervals above a certain inflection point, a Generalised Extreme Value (GEV) distribution function with a positive shape parameter is used. This GEV asymptotically approaches an upper bound derived from an empirical envelope curve. The resulting mixed distribution function is composed of two distribution functions which are connected at the inflection point.

This method is applied to 83 streamflow gauges in Saxony/Germany. Our analysis illustrates that the presented mixed bounded distribution function adequately considers PREC flood quantiles as well as an upper bound discharge. The introduction of both into an at-site flood frequency analysis improves the quantile estimation. A sensitivity analysis reveals that, for the target recurrence interval of 1000 years, the flood quantile estimation is less sensitive to the selection of an empirical envelope curve than to the selection of PREC discharges and of the inflection point between the mixed bounded distribution function.

Introducing empirical and probabilistic regional envelope curves into a mixed bounded distribution function

BKG GeoDataCentre (Federal Agency for Cartography and Geodesy): Digital Landscape Model ATKIS Basis DLM, Frankfurt/Main, 2005.; Benito, G., Lang, M., Barriendos, M., Llasat, M. C., Francés, F., Ouarda, T. B. M. J., Thorndycraft, V. R., Enzel, Y., Bárdossy, A., Coeur, D., and Bobée, B.: Use of Systematic, Palaeoflood and Historical Data for the Improvement of Flood Risk Estimation, Review of Scientific Methods, Nat. Hazards, 31(3), 623–643, 2004.; Burn, D. H.: Evaluation of Regional Flood Frequency Analysis with a Region of Influence Approach, Water Resour. Res., 26(8), 2257–2265, 1990.; Castellarin, A.: Probabilistic envelope curves for design flood estimation at ungauged sites, Water Resour. Res., 43(4), W04406, doi:04410.01029/02005WR004384, 2007.; Castellarin, A., Vogel, R. M., and Matalas, N. C.: Probabilistic behaviour of a regional envelope curve, Water Resour. Res., 41, W06018, doi:06010.01029/02004WR003042, 2005.; Castellarin, A., Vogel, R. M., and Matalas, N. C.: Multivariate probabilistic regional envelopes of extreme floods, J. Hydrol., 336(3–4), 376–390, 2007.; Chbab, E. H., Buiteveld, H., and Diermanse, F.: Estimating exceedance frequencies of extreme river discharges using statistical methods and physically based approach, Österr. Wasser- und Abfallwirtschaft, 58(3–4), 35–43, 2006.; Cohn, T. A. and Stedinger, J. R.: Use of Historical Information in a Maximum Likelihood Framework, J. Hydrol., 96(1–4), 215–233, 1987.; Condie, R. and Lee, K. A.: Flood frequency analysis with historic information, J. Hydrol., 58(1–2), 47–61, 1982.; Costa, J. E.: A comparison of the largest rainfall-runoff floods in the United States with those of the People's Republic of China and the world, J. Hydrol., 96(1–4), 101–115, 1987.; Crippen, J. R.: Envelopes Curves for Extreme Flood Events, J. Hydraul. Eng.-ASCE, 108(8), 1208–1212, 1982.; Dalrymple, T.: Flood frequency analyses, US Geol. Surv. Water Supply Pap., 1543-A, 1960.; El Adlouni, S., Bobée, B., and Ouarda, T. B. M. J.: On the tails of extreme event distributions in hydrology, J. Hydrol., 355(1–4), 16–33, 2008.; England Jr., J. F., Jarrett, R. D., and Salas, J. D.: Data-based comparisons of moments estimators using historical and paleoflood data, J. Hydrol., 278(1–4), 172–196, 2003a.; England Jr., J. F., Salas, J. D., and Jarrett, R. D.: Comparisons of two moments-based estimators that utilize historical and paleoflood data for the log Pearson type III distribution, Water Resour. Res., 39(7), 1243, doi:1210.1029/2002WR001791, 2003b.; Enzel, Y., Ely, L. L., House, P. K., Baker, V. R., and Webb, R. H.: Paleoflood evidence for a natural upper bound to flood magnitudes in the Colorado River basin, Water Resour. Res., 29(5), 2287–2298, 1993.; Fernandes, W. and Naghettini, M.: Integrated frequency analysis of extreme flood peaks and flood volumes using the regionalized quantiles of rainfall depths as auxiliary variables, J. Hydrol. Eng.-ASCE, 13(3), 171–179, 2008.; Fernandes, W., Naghettini, M., and Loschi, R.: A Bayesian approach for estimating extreme flood probabilities with upper-bounded distribution functions, Stoch. Env. Res. Risk A., 24(8), 1127–1143, doi:10.1007/s00477-010-0365-4, 2010.; Francés, F.: Using the TCEV distribution function with systematic and non-systematic data in a regional flood frequency analysis, Stoch. Hydrol. Hydraul., 12(4), 267–283, 1998.; Francés, F. and Botero, B. A.: Probable maximum flood estimation using systematic and non-systematic information, in: Paleofloods, Historical Floods and Climatic Variability: Applications in Flood Risk Assessment, Proceedings of the PHEFRA workshop, edited by: Thorndycraft, V. R., Benito, G., Barriendos, M., and Llasat, M. C., Barcelona/Spain, 223–229, 2003.; Gaume, E., Bain, V., Bernardara, P., Newinger, O., Barbuc, M., Bateman, A., Blaskovicova, L., Blöschl, G., Borga, M., Dumitrescu, A., Daliakopoulos, I., Garcia, J., Irimescu, A., Kohnová, S., Koutroulis, A., Marchi, L., Matreata, S., Medi


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