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<article language="en">
	<journal>
		<journal_title>Hydrology and Earth System Sciences</journal_title>
		<journal_url>www.hydrol-earth-syst-sci.net</journal_url>
		<issn>1027-5606</issn>
		<eissn>1607-7938</eissn>
		<volume_number>13</volume_number>
		<issue_number>9</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/hess-13-1699-2009</doi>
	<article_url>http://www.hydrol-earth-syst-sci.net/13/1699/2009/</article_url>
	<abstract_html>http://www.hydrol-earth-syst-sci.net/13/1699/2009/hess-13-1699-2009.html</abstract_html>
	<fulltext_pdf>http://www.hydrol-earth-syst-sci.net/13/1699/2009/hess-13-1699-2009.pdf</fulltext_pdf>
	<start_page>1699</start_page>
	<end_page>1712</end_page>
	<publication_date>2009-09-29</publication_date>
	<article_title content_type="html">Effects of intersite dependence of nested catchment structures on probabilistic regional envelope curves</article_title>
	<authors>
		<author numeration="1" affiliations="1,2">
			<name>B. Guse</name>
			<email>bguse@gfz-potsdam.de</email>
		</author>
		<author numeration="2" affiliations="3">
			<name>A. Castellarin</name>
		</author>
		<author numeration="3" affiliations="1,4">
			<name>A. H. Thieken</name>
		</author>
		<author numeration="4" affiliations="1">
			<name>B. Merz</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Deutsches GeoForschungsZentrum GFZ, Section Hydrology, Potsdam, Germany</affiliation>
		<affiliation numeration="2" content_type="html">Center for Disaster Management and Risk Reduction Technology (CEDIM), Karlsruhe, Germany</affiliation>
		<affiliation numeration="3" content_type="html">Dipartimento di Ingegneria delle Strutture, dei Trasporti, delle Acque, del Rivelamento, del Territorio (DISTART), Università di Bologna, Bologna, Italy</affiliation>
		<affiliation numeration="4" content_type="html">alpS – Centre for Natural Hazards and Risk Management, University of Innsbruck, Innsbruck, Austria</affiliation>
	</affiliations>
	<abstract content_type="html">This study analyses the intersite dependence of nested catchment structures
by modelling cross-correlations for pairs of nested and unnested catchments
separately. Probabilistic regional envelope curves are utilised to derive
regional flood quantiles for 89 catchments located in Saxony, in the
Southeast of Germany. The study area has a nested structure and the
intersite correlation is much stronger for nested pairs of catchments than
for unnested ones. Pooling groups of sites (regions) are constructed based
on several candidate sets of catchment descriptors using the Region of
Influence method. Probabilistic regional envelope curves are derived on the
basis of flood flows observed within the pooling groups. Their estimated
recurrence intervals are based on the number of effective sample years of
data (i.e. equivalent number of uncorrelated data). The evaluation of the
effective sample years of data requires the modelling of intersite
dependence. We perform this globally, using a cross-correlation function for
the whole study area as well as by using two different cross-correlation
functions, one for nested pairs and another for unnested pairs. In the
majority of the cases, these two modelling approaches yield significantly
different estimates for the effective sample years of data, and therefore
also for the recurrence intervals. The reduction of the recurrence interval
when using two different cross-correlation functions is larger for larger
pooling groups and for pooling groups with a higher fraction of nested
catchments. A separation into nested and unnested pairs of catchments gives
a more realistic representation of the characteristic river network
structure and improves the estimation of regional information content.
Hence, applying two different cross-correlation functions is recommended.</abstract>
	<references>
		<reference numeration="1" content_type="text"> % vor jede Referenz Acreman, M. C. and Sinclair, C. D.: Classification of drainage basins according to their physical characteristics: an application for flood frequency analysis in Scotland, J. Hydrol., 84(3), 365–380, 1986. </reference>
		<reference numeration="2" content_type="text"> BKG Geodatenzentrum (Federal Agency for Cartography and Geodesy – GeoDataCentre): Digital Landscape Model ATKIS Basis DLM, Frankfurt/Main, 2005. </reference>
		<reference numeration="3" content_type="text"> Burn, D. H.: An appraisal of the &quot;region of influence&quot; approach to flood frequency analysis, Hydrolog. Sci. J., 35(2), 149–165, 1990a. </reference>
		<reference numeration="4" content_type="text"> Burn, D. H.: Evaluation of Regional Flood Frequency Analysis with a Region of Influence Approach, Water Resour. Res., 26(10), 2257–2265, 1990b. </reference>
		<reference numeration="5" content_type="text"> Castellarin, A.: Probabilistic envelope curves for design flood estimation at ungauged sites, Water Resour. Res., 43(4), W04406, doi:10.1029/2005WR004384, 2007. </reference>
		<reference numeration="6" content_type="text"> Castellarin, A., Burn, D. H., and Brath, A.: Assessing the effectiveness of hydrological similarity measures for flood frequency analysis, J. Hydrol., 241(3), 270–285, 2001. </reference>
		<reference numeration="7" content_type="text"> Castellarin, A., Burn, D. H., and Brath, A.: Homogeneity testing: How homogeneous do heterogeneous cross-correlated regions seem?, J. Hydrol., 360(1–4), 67–76, 2008. </reference>
		<reference numeration="8" content_type="text"> Castellarin, A., Vogel, R. M., and Matalas, N. C.: Probabilistic behaviour of a regional envelope curve, Water Resour. Res., 41, W06018, doi:10.1029/2004WR003042, 2005. </reference>
		<reference numeration="9" content_type="text"> Castellarin, A., Vogel, R. M., and Matalas, N. C.: Multivariate probabilistic regional envelopes of extreme floods, J. Hydrol., 336(3–4), 376–390, 2007. </reference>
		<reference numeration="10" content_type="text"> Crippen, J. R. and Bue, C. D.: Maximum Flood Flows in the Conterminous United States, Geological Survey Water-Supply Paper 1887, United States Printing Office, Washington DC, 1977. </reference>
		<reference numeration="11" content_type="text"> Cunnane, C.: Methods and Merits of Regional Flood Frequency Analysis, J. Hydrol., 100(1–3), 269–290, 1988. </reference>
		<reference numeration="12" content_type="text"> Dalrymple, T.: Flood frequency analyses, US Geol. Surv. Water Supply Pap.: 1543-A, 1960. </reference>
		<reference numeration="13" content_type="text"> Gaál, L. and Kyselý, J.: Regional frequency analysis of heavy precipitation in the Czech Republic by improved region-of-influence method, Hydrol. Earth Syst. Sci. Discuss., 6, 273–317, 2009. </reference>
		<reference numeration="14" content_type="text"> GREHYS: Inter-comparison of regional flood frequency procedures for Canadian rivers, J. Hydrol., 186(1–4), 85–103, 1996a. </reference>
		<reference numeration="15" content_type="text"> GREHYS: Presentation and review of some methods for regional flood frequency analysis, J. Hydrol., 186(1–4), 63–84, 1996b. </reference>
		<reference numeration="16" content_type="text"> Herschy, R.: The world&apos;s maximum observed floods, Flow Meas. Instrum., 13, 231–235, 2002. </reference>
		<reference numeration="17" content_type="text"> Hirsch, R. M., Helsel, D. R., Cohn, T. A., and Gilroy, E. J.: Statistical analysis of hydrological data, in: Handbook of Hydrology, edited by: Maidment, D. A., McGraw-Hill, New York, 17.1–17.55, 1992. </reference>
		<reference numeration="18" content_type="text"> Hosking, J. R. M. and Wallis, J. R.: The effect of intersite dependence on regional flood frequency analysis, Water Resour. Res., 24(4), 588–600, 1988. </reference>
		<reference numeration="19" content_type="text"> Hosking, J. R. M. and Wallis, J. R.: Some statistics useful in regional frequency analysis, J. Hydrol., 29(2), 271–281, 1993. </reference>
		<reference numeration="20" content_type="text"> Hosking, J. R. M. and Wallis, J. R.: Regional frequency analysis: an approach based on L-moments, Cambridge University Press, Cambridge, UK, 1997. </reference>
		<reference numeration="21" content_type="text"> Jarvis, A., Reuter, H. I., Nelson, A., and Guevara, E.: Hole-filled SRTM for the globe Version 4, available from the CGIAR-CSI SRTM 90 m Database: http://srtm.csi.cgiar.org, 2008. </reference>
		<reference numeration="22" content_type="text"> Kjeldsen, T. R. and Rosbjerg, D.: Comparison of regional index flood estimation procedures based on the extreme value type I distribution, Stoch. Env. Res. Risk A., 16(5), 358–373, 2002. </reference>
		<reference numeration="23" content_type="text"> Kjeldsen, T. R. and Jones, D. A.: Prediction uncertainty in a median-based index flood method using L moments, Water Resour. Res., 42, W07414, doi:10.1029/2005WR004069, 2006. </reference>
		<reference numeration="24" content_type="text"> Kroll, C. N. and Stedinger, J. R.: Regional hydrologic analysis: Ordinary and generalized least squares revisted, Water Resour. Res., 34(1), 121–128, 1998. </reference>
		<reference numeration="25" content_type="text"> Kuczera, G.: Effect of sampling uncertainty and spatial correlation on an empirical Bayes procedure for combining site and regional information, J. Hydrol., 65(4), 373–398, 1983. </reference>
		<reference numeration="26" content_type="text"> Madsen, H. and Rosbjerg, D.: Generalized least squares and empirical Bayes estimation in regional partial duration series index-flood modelling, Water Resour. Res., 33(4), 771–781, 1997a. </reference>
		<reference numeration="27" content_type="text"> Madsen, H. and Rosbjerg, D.: The partial duration series method in regional index-flood modelling, Water Resour. Res., 33(4), 737–746, 1997b. </reference>
		<reference numeration="28" content_type="text"> Matalas, N. C. and Langbein, W. B.: Information content of the mean, J. Geophys. Res., 67(9), 3441–3448, 1962. </reference>
		<reference numeration="29" content_type="text"> Merz, R. and Blöschl, G.: A process typology of regional floods, Water Resour. Res., 39(12), 1340, doi:10.1029/2002WR001952, 2003. </reference>
		<reference numeration="30" content_type="text"> Merz, R. and Blöschl, G.: Flood frequency regionalisation – spatial proximity vs. catchment attributes, J. Hydrol., 302(1–4), 283–306, 2005. </reference>
		<reference numeration="31" content_type="text"> Nathan, R. J. and McMahon, T. A.: Identification of homogeneous regions for the purposes of regionalization, J. Hydrol., 121(1–4), 217–238, 1990. </reference>
		<reference numeration="32" content_type="text"> Ouarda, T. B. M. J., Bâ, K. M., Diaz-Delgado, C., Cârsteanu, A., Chokmani, K., Gingras, H., Quentin, E., Trujillo, E., and Bobée, B.: Intercomparison of regional flood frequency estimation methods at ungauged sites for a Mexican case study, J. Hydrol., 348(1–2), 40–58, 2008. </reference>
		<reference numeration="33" content_type="text"> Peel, M. C., Wang, Q. J., Vogel, R. M., and McMahon, T. A.: The utility of L-moment ratio diagrams for selecting a regional probability distribution, Hydrolog. Sci. J., 46(1), 147–156, 2001. </reference>
		<reference numeration="34" content_type="text"> Petrow, Th., Merz, B., Lindenschmidt, K.-E., and Thieken, A. H.: Aspects of seasonality and flood generating circulation patterns in a mountainous catchment in south-eastern Germany, Hydrol. Earth Syst. Sci., 11, 1455–1468, 2007. </reference>
		<reference numeration="35" content_type="text"> Pohl, R.: Historische Hochwasser aus dem Erzgebirge, Wasserbauliche Mitteilungen, Heft 28, Fakultät Bauingenieurwesen, Institut für Wasserbau und Technische Hydromechanik, Technische Universität Dresden, Dresden, 2004. </reference>
		<reference numeration="36" content_type="text"> Rao, R. and Srinivas, V. V.: Regionalization of watersheds by hybrid-cluster analysis, J. Hydrol., 318(1–4), 37–56, 2006. </reference>
		<reference numeration="37" content_type="text"> Reis Jr., D. S., Stedinger, J. R., and Martins, E. S.: Bayesian generalized least squares regression with application to log Pearson type 3 regional skew estimation, Water Resour. Res., 41, W10419, doi:10.1029/2004WR003445, 2005. </reference>
		<reference numeration="38" content_type="text"> Robson, A. and Reed, D.: Flood Estimation Handbook 3: Statistical procedures of flood frequency estimation, Institute of Hydrology, Wallingford/UK, 338~pp., 1999. </reference>
		<reference numeration="39" content_type="text"> Rosbjerg, D. and Madsen, H.: Uncertainty measures of regional flood frequency estimators, J. Hydrol., 167(1–4), 209–224, 1995. </reference>
		<reference numeration="40" content_type="text"> Skøien, J. O., Merz, R., and Blöschl, G.: Top-kriging – geostatistics on stream networks, Hydrol. Earth Syst. Sci., 10, 277–287, 2006. </reference>
		<reference numeration="41" content_type="text"> Stedinger, J. R.: Estimating a Regional Flood Frequency Distribution, Water Resour. Res., 19(2), 503–510, 1983. </reference>
		<reference numeration="42" content_type="text"> Stedinger, J. R. and Lu, L.: Appraisal of regional and index flood quantile estimators, Stoch. Hydrol. Hydraul., 9(1), 49–75, 1995. </reference>
		<reference numeration="43" content_type="text"> Stedinger, J. R. and Tasker, G. D.: Regional hydrologic analysis, 1, Ordinary, weighted, and generalised least squares compared, Water Resour. Res., 21(9), 1421–1432, 1985. </reference>
		<reference numeration="44" content_type="text"> Stedinger, J. R. and Tasker, G. D.: Regional hydrologic analysis, 2, Model-error estimators, estimation of sigma and log-Pearson type 3 distributions, Water Resour. Res., 22(10), 1487–1499, 1986. </reference>
		<reference numeration="45" content_type="text"> Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E.: Frequency Analysis of extreme events, in: Handbook of Hydrology, edited by: Maidment, D. A., McGraw-Hill, New-York, 18.1–18.66, 1993. </reference>
		<reference numeration="46" content_type="text"> Tasker, G. D. and Stedinger, J. R.: An operational GLS model for hydrologic regression, J. Hydrol., 111(1–4), 361–375, 1989. </reference>
		<reference numeration="47" content_type="text"> Troutman, B. M. and Karlinger, M. R.: Regional flood probabilities, Water Resour. Res., 39(4), 1095, doi:10.1029/2001WR001140, 2003. </reference>
		<reference numeration="48" content_type="text"> Ulbrich, U., Brücher, T., Fink, A. H., Leckebusch, G. C., Krüger, A., and Pinto, J. G.: The central European floods of August 2002: part 1 - Rainfall periods and flood development, Weather, 58, 371–377, 2003. </reference>
		<reference numeration="49" content_type="text"> Viglione, A.: The nsRFA Package, r package version 0.4-8, 2008. </reference>
		<reference numeration="50" content_type="text"> Vogel, R. M. and Fennessey, N. M.: L Moment Diagrams Should Replace Product-Moment Diagrams, Water Resour. Res., 29(6), 1745–1752, 1993. </reference>
		<reference numeration="51" content_type="text"> Vogel, R. M., Zafirakou-Koulouris, A., and Matalas, N. C.: Frequency of record-breaking floods in the United States, Water Resour. Res., 37(6), 1723–1731, 2001. </reference>
		<reference numeration="52" content_type="text"> Vogt, J. V., Soille, P., de Jager, A., Rimaviči\=uté, E., Mehl, W., Foisneau, S., Bódis, K., Dusart, J., Paracchini, M. L., Haastrup, P., and Bamps, C.: A pan-European River and Catchment Database, European Commission, EUR 22920 EN – Joint Research Centre, 2007. </reference>
		<reference numeration="53" content_type="text"> Zrinji, Z. and Burn, D. H.: Flood frequency analysis for ungauged sites using a region of influence approach, J. Hydrol., 153(1–4), 1–21, 1994. </reference>
	</references>
</article>

