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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
Historic
Publication Date:
2010
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 http://hawaiilibrary.net/


Description
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.


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

Excerpt
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