<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.hydrol-earth-syst-sci.net/inc/hess/copernicus.dtd">
<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>6</issue_number>
		<publication_year>2009</publication_year>
	</journal>
	<doi>10.5194/hess-13-883-2009</doi>
	<article_url>http://www.hydrol-earth-syst-sci.net/13/883/2009/</article_url>
	<abstract_html>http://www.hydrol-earth-syst-sci.net/13/883/2009/hess-13-883-2009.html</abstract_html>
	<fulltext_pdf>http://www.hydrol-earth-syst-sci.net/13/883/2009/hess-13-883-2009.pdf</fulltext_pdf>
	<start_page>883</start_page>
	<end_page>892</end_page>
	<publication_date>2009-06-22</publication_date>
	<article_title content_type="html">Gauging the ungauged basin: how many discharge measurements are needed?</article_title>
	<authors>
		<author numeration="1" affiliations="1,2">
			<name>J. Seibert</name>
			<email>jan.seibert@geo.uzh.ch</email>
		</author>
		<author numeration="2" affiliations="3,4">
			<name>K. J. Beven</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">University of Zurich, Zurich, Switzerland</affiliation>
		<affiliation numeration="2" content_type="html">Stockholm University, Stockholm, Sweden</affiliation>
		<affiliation numeration="3" content_type="html">Lancaster University, Lancaster, LA1 4YQ, UK</affiliation>
		<affiliation numeration="4" content_type="html">Uppsala University, Uppsala, Sweden</affiliation>
	</affiliations>
	<abstract content_type="html">Runoff estimation in ungauged catchments is probably one of the most basic
and oldest tasks of hydrologists. This long-standing issue has received
increased attention recently due to the PUB (Prediction in Ungauged Basins)
initiative. Given the challenges of predicting runoff for ungauged
catchments one might argue that the best course of action is to take a few
runoff measurements. In this study we explored how implementing such a
procedure might support predictions in an ungauged basin. We used a number
of monitored Swedish catchments as hypothetical ungauged basins where we
pretended to start with no runoff data and then added different sub-sets of
the available data to constrain a simple catchment model. These sub-sets
consisted of a limited number of single runoff measurements; in other words
these data represent what could be measured with limited efforts in an
ungauged basin. We used a Monte Carlo approach and predicted runoff as a
weighted ensemble mean of simulations using acceptable parameter sets. We
found that the ensemble prediction clearly outperformed the predictions
using single parameter sets and that surprisingly little runoff data was
necessary to identify model parameterizations that provided good results for
the &quot;ungauged&quot; test periods. These results indicated that a few runoff
measurements can contain much of the information content of continuous
runoff time series. However, the study also indicated that results may
differ significantly between catchments and also depend on the days chosen
for taking the measurements.</abstract>
	<references>
		<reference numeration="1" content_type="text"> % vor jede Referenz Bergström, S.: Parametervärden för HBV-modellen i Sverige: erfarenheter fr&amp;aring;n modellkalibreringar under perioden 1975–1989, Swedish Meteorological and Hydrological Institute, Norrköping, 35~pp., 1990. </reference>
		<reference numeration="2" content_type="text"> Bergström, S.: The HBV Model: Its Structure and Applications, Swedish vMeteorological and Hydrological Institute (SMHI), Hydrology, Norrköping, 35~pp., 1992. </reference>
		<reference numeration="3" content_type="text"> Bergström, S.: The HBV model (Chapter~13), in: Computer Models of Watershed Hydrology, edited by: Singh, V. P., Water Resources Publications, Highlands Ranch, Colorado, USA, 443–476, 1995. </reference>
		<reference numeration="4" content_type="text"> Beven, K.: On undermining the science?, Hydrol. Process., 20, 3141–3146, 2006. </reference>
		<reference numeration="5" content_type="text"> Beven, K.: Towards integrated environmental models of everywhere: uncertainty, data and modelling as a learning process, Hydrol. Earth Syst. Sci., 11, 460–467, 2007. </reference>
		<reference numeration="6" content_type="text"> Beven, K. and Binley, A.: Future of distributed models: Model calibration and uncertainty prediction, Hydrol. Process., 6, 279–298, 1992. </reference>
		<reference numeration="7" content_type="text"> Beven, K. J.: Environmental Modelling: An Uncertain Future?, Routledge London, 310~pp., 2009. </reference>
		<reference numeration="8" content_type="text"> Beven, K. J., Smith, P. J., and Freer, J. E.: So just why would a modeller choose to be incoherent?, J. Hydrol., 354, 15–32, 2008. </reference>
		<reference numeration="9" content_type="text"> Binley, A. and Beven, K.: Vadose Zone Flow Model Uncertainty as Conditioned on Geophysical Data, Ground Water, 41, 119–127, 2003. </reference>
		<reference numeration="10" content_type="text"> Bonell, M., McDonnell, J. J., Scatena, F. N., Seibert, J., Uhlenbrook, S., and Van Lanen, H. A. J.: HELPing FRIENDs in PUBs: charting a course for synergies within international water research programmes in gauged and ungauged basins, Hydrol. Process., 20, 1867–1874, 2006. </reference>
		<reference numeration="11" content_type="text"> Eng, K. and Milly, P. C. D.: Relating low-flow characteristics to the base flow recession time constant at partial record stream gauges, Water Resour. Res., 43, W01201, doi:10.1029/2006WR005293, 2007. </reference>
		<reference numeration="12" content_type="text"> Eriksson, B.: Den potentiella evaporationen i Sverige, Swedish Meteorological and Hydrological Institute, SMHI, 40~pp., 1981 (in Swedish, The potential evaporation in Sweden). </reference>
		<reference numeration="13" content_type="text"> Eriksson, B.: Data rörande Sveriges Nederbördsklimat-Normalvärden för perioden 1951–80 (Data concerning the precipitation climate of Sweden-Normal values for the period 1951–80), SMHI Rapport, Norrköping, 92~pp., 1983 (in Swedish). </reference>
		<reference numeration="14" content_type="text"> Harlin, J. and Kung, C. S.: Parameter uncertainty and simulation of design floods in Sweden, J. Hydrol. (Amsterdam), 137, 209–230, 1992. </reference>
		<reference numeration="15" content_type="text"> Hughes, D., Greenwood, P., Coulson, G., Blair, G., Pappenberger, F., Smith, P., and Beven, K.: GridStix: Supporting Flood Prediction using Embedded Hardware and Next Generation Grid Middleware, International Workshop on Wireless Mobile Multimedia, 621–626, 2006. </reference>
		<reference numeration="16" content_type="text"> Juston, J., Seibert, J., and Johansson, P. O.: Temporal sampling strategies and uncertainty in calibrating a conceptual hydrological model for a small boreal catchment, Hydrol. Process., in press, 2009. </reference>
		<reference numeration="17" content_type="text"> Kavetski, D., Kuczera, G., and Franks, S. W.: Bayesian analysis of input uncertainty in hydrological modeling: 1. Theory, Water Resour. Res., 42, W03407, doi:10.1029/2005WR004368, 2006. </reference>
		<reference numeration="18" content_type="text"> Kuczera, G., Kavetski, D., Franks, S., and Thyer, M.: Towards a Bayesian total error analysis of conceptual rainfall-runoff models: Characterising model error using storm-dependent parameters, J. Hydrol., 331, 161–177, 2006. </reference>
		<reference numeration="19" content_type="text"> Lindström, G., Johansson, B., Persson, M., Gardelin, M., and Bergström, S.: Development and test of the distributed HBV-96 hydrological model, J. Hydrol., 201, 272–288, 1997. </reference>
		<reference numeration="20" content_type="text"> Mantovan, P. and Todini, E.: Hydrological forecasting uncertainty assessment: Incoherence of the GLUE methodology, J. Hydrol., 330, 368–381, 2006. </reference>
		<reference numeration="21" content_type="text"> McIntyre, N., Lee, H., Wheater, H., Young, A., and Wagener, T.: Ensemble predictions of runoff in ungauged catchments, Water Resour. Res., 41, 3307–3323, 2005. </reference>
		<reference numeration="22" content_type="text"> McIntyre, N. R. and Wheater, H. S.: Calibration of an in-river phosphorus model: prior evaluation of data needs and model uncertainty, J. Hydrol., 290, 100–116, 2004. </reference>
		<reference numeration="23" content_type="text"> Nash, J. E. and Sutcliffe, J. V.: River flow forecasting through conceptual models, I, A discussion of principles, J. Hydrol., 10, 282–290, 1970. </reference>
		<reference numeration="24" content_type="text"> Perrin, C., Oudin, L., Andreassian, V., Rojas-Serna, C., Michel, C., and Mathevet, T.: Impact of limited streamflow data on the efficiency and the parameters of rainfall-runoff models, Hydrolog. Sci. J., 52, 131–151, 2007. </reference>
		<reference numeration="25" content_type="text"> Rode, M., Suhr, U., and Wriedt, G.: Multi-objective calibration of a river water quality model–-Information content of calibration data, Ecol. Modell., 204, 129–142, 2007. </reference>
		<reference numeration="26" content_type="text"> Rojas-Serna, C., Michel, C., Perrin, C., and Andreassian, V.: Ungauged catchments: how to make the most of a few streamflow measurements?, Large Sample Basin Experiments for Hydrological Model Parameterization: Results of the Model Parameter Experiment – MOPEX, IAHS publication, 307, 230–236, 2006. </reference>
		<reference numeration="27" content_type="text"> Seibert, J.: Estimation of parameter uncertainty in the HBV model, Nord. Hydrol., 28, 247–262, 1997. </reference>
		<reference numeration="28" content_type="text"> Seibert, J.: Regionalisation of parameters for a conceptual rainfall-runoff model, Agr. Forest Meteorol., 98, 279–293, 1999. </reference>
		<reference numeration="29" content_type="text"> Seibert, P.: Hydrological characteristics of the NOPEX research area, Undergraduate thesis, Institute of Earth Sciences/Hydrology, Uppsala University, Uppsala, Sweden, 51~pp., 1994. </reference>
		<reference numeration="30" content_type="text"> Sivapalan, M., Schaake, J., and Sapporo, J.: PUB Science and Implementation Plan, V5., online available at: http://pub.iwmi.org/UI/Images/PUB_Science_Plan_V_5.pdf, IAHS Decade on Predictions in Ungauged Basins (PUB), 2003a. </reference>
		<reference numeration="31" content_type="text"> Sivapalan, M., Takeuchi, K., Franks, S., Gupta, V. K., Karambiri, H., Lakshmi, V., Liang, X., McDonnell, J., Mendiondo, E., O&apos;Connell, E. P., Oki, T., Pomeroy, J. W., Schertzer, D., Uhlenbrook, S., and Zehe, E.: IAHS decade on predictions in ungauged basins (PUB), 2003-2012: Shaping an exciting future for the hydrologic sciences, Hydrolog. Sci. J., 48, 857–880, 2003b. </reference>
		<reference numeration="32" content_type="text"> Smith, P., Beven, K. J., and Tawn, J. A.: Informal likelihood measures in model assessment: Theoretic development and investigation, Adv. Water Res., 31, 1087–1100, 2008. </reference>
		<reference numeration="33" content_type="text"> Sorooshian, S., Gupta, V. K., and Fulton, J. L.: Evaluation of maximum likelihood parameter estimation techniques for conceptual rainfall-runoff models: Influence of calibration data variability and length on model credibility, Water Resour. Res., 19, 251–259, 1983. </reference>
		<reference numeration="34" content_type="text"> Vrugt, J. A., ter Braak, C. J. F., Clark, M. P., Hyman, J. M., and Robinson, B. A.: Treatment of input uncertainty in hydrologic modeling: Doing hydrology backward with Markov chain Monte Carlo simulation, Water Resour. Res., 44, W00B09, doi:10.1029/2007WR006720, 2008. </reference>
		<reference numeration="35" content_type="text"> Yadav, M., Wagener, T., and Gupta, H.: Regionalization of constraints on expected watershed response behavior for improved predictions in ungauged basins, Adv. Water Res., 30, 1756–1774, 2007. </reference>
		<reference numeration="36" content_type="text"> Yapo, P. O., Gupta, H. V., and Sorooshian, S.: Automatic calibration of conceptual rainfall-runoff models: sensitivity to calibration data, J. Hydrol., 181, 23–48, 1996. </reference>
		<reference numeration="37" content_type="text"> Zhang, Z., Wagener, T., Reed, P., and Bhushan, R.: Reducing uncertainty in predictions in ungauged basins by combining hydrologic indices regionalization and multiobjective optimization, Water Resour. Res, 44, W00B04, doi:10.1029/2008WR006833, 2008. </reference>
	</references>
</article>

