Vers une amélioration d'un modèle global pluie-débit au travers d'une approche comparative

The study examined and evaluated 38 structures of lumped rainfall-runoff models on 429 catchments located in France, the United-States, Australia, the Ivory Coast and Brazil. All structures were evaluated at a daily time-step in the same testing framework and fed with the same amount of data. Their parameters were calibrated using a local optimisation search procedure that proved able to locate satisfactory sets of optimum parameters. Model performances in terms of quality of observed streamflow simulation were assessed with several quantitative criteria, including new formulations. Tests results indicate that a low number of free parameters (3 to 5) is sufficient to achieve a satisfactory modelling of the catchment hydrological behaviour, the increasing number of degrees of freedom in the model structure limiting model robustness. Furthermore model structure plays a key role in the quality of simulations. Some mathematical tools used in different structures appear complementary and their association in a single model may improve streamflow simulations. The structure of the simple GR3J model was thus modified into a more satisfactory four-parameter structure, with improved low flow simulations. Such a model can be used to solve many issues of water resources management and engineering.

[1]  Anthony J. Jakeman,et al.  Predicting the daily streamflow of ungauged catchments in S.E. Australia by regionalising the parameters of a lumped conceptual rainfall-runoff model , 1999 .

[2]  Anthony J. Jakeman,et al.  RELATIONSHIPS BETWEEN CATCHMENT ATTRIBUTES AND HYDROLOGICAL RESPONSE CHARACTERISTICS IN SMALL AUSTRALIAN MOUNTAIN ASH CATCHMENTS , 1996 .

[3]  Z. Bargaoui,et al.  Modélisation des écoulements de l'oued Miliane par le modèle CEQUEAU , 1998 .

[4]  Bryson C. Bates,et al.  Calibration of a modified SFB model for twenty-five Australian catchments using simulated annealing , 1997 .

[5]  E. Servat,et al.  Modélisation de la relation pluie-débit et estimation des apports en eau dans le nord-ouest de la côte-d'Ivoire : essai d'extension aux bassins versants non jaugés , 1992 .

[6]  J. W. Delleur,et al.  Comparison of rainfall-runoff models for urban areas , 1973 .

[7]  L. S. Kuchment,et al.  Rainfall−runoff modelling of the Ouse basin, North Yorkshire: an application of a physically based distributed model , 1996 .

[8]  A. Gustard,et al.  Low Flow Estimation in the United Kingdom , 1992 .

[9]  T. McMahon,et al.  The Applicability of Morton's and Penman's Evapotranspiration Estimates in Rainfall-Runoff Modeling , 1991 .

[10]  M. H. Diskin,et al.  A procedure for the selection of objective functions for hydrologic simulation models , 1977 .

[11]  Marco Franchini,et al.  Comparing several genetic algorithm schemes for the calibration of conceptual rainfall-runoff models , 1997 .

[12]  George Kuczera,et al.  The quest for more powerful validation of conceptual catchment models , 1997 .

[13]  Tom G. Chapman,et al.  COMMON UNITGRAPHS FOR SETS OF RUNOFF EVENTS. PART 2: COMPARISONS AND INFERENCES FOR RAINFALL LOSS MODELS , 1996 .

[14]  M. Pardé,et al.  Fleuves et rivières , 1933 .

[15]  J. Nash,et al.  A criterion of efficiency for rainfall-runoff models , 1978 .

[16]  Soroosh Sorooshian,et al.  Multi-objective global optimization for hydrologic models , 1998 .

[17]  M. Kabouya,et al.  Estimation des ressources en eau superficielle aux pas de temps mensuel et annuel, application à un pays semi-aride , 1991 .

[18]  George Kuczera,et al.  Probabilistic optimization for conceptual rainfall-runoff models: A comparison of the shuffled complex evolution and simulated annealing algorithms , 1999 .

[19]  Vijay P. Singh,et al.  Hydrology components of CREAMS and GLEAMS models. , 1995 .

[20]  Jean-Emmanuel Paturel,et al.  Caractérisation d'une modification éventuelle de la relation pluie-débit autour des années 1970 en Afrique de l'Ouest et centrale non sahélienne , 1998 .

[21]  Yeou-Koung Tung,et al.  Regionalization of unit hydrograph parameters: 1. Comparison of regression analysis techniques , 1997 .

[22]  V. O. Shanholtz,et al.  Estimating selected parameters for the Kentucky Watershed Model from watershed characteristics , 1976 .

[23]  Rory Nathan,et al.  Estimating low flow characteristics in ungauged catchments , 1992 .

[24]  Karel J. Keesman,et al.  Uncertainty propagation and speculation in projective forecasts of environmental change - a lake eutrophication example. , 1991 .

[25]  Yeou-Koung Tung,et al.  UNCERTAINTY AND SENSITIVITY ANALYSES OF PIT-MIGRATION MODEL , 1993 .

[26]  Christian W. Dawson,et al.  An artificial neural network approach to rainfall-runoff modelling , 1998 .

[27]  C. W. Thornthwaite THE WATER BALANCE , 1955 .

[28]  S. Sorooshian,et al.  Effective and efficient global optimization for conceptual rainfall‐runoff models , 1992 .

[29]  T. Gan,et al.  Automatic Calibration of Conceptual Rainfall-Runoff Models: Optimization Algorithms, Catchment Conditions, and Model Structure , 1996 .

[30]  Murugesu Sivapalan,et al.  Water and salt balance modeling to predict the effects of land use changes in forested catchments. , 1993 .

[31]  Messaouda Kabouya Hadj-Noui Modelisation pluie-debit aux pas de temps mensuel et annuel en algerie septentrionale , 1990 .

[32]  B. Mazenc,et al.  Analyse de l'influence de la physiographie d'un bassin versant sur les paramètres d'un modèle hydrologique global et sur les débits caractéristiques à l'exutoire , 1984 .

[33]  Kuolin Hsu,et al.  Artificial Neural Network Modeling of the Rainfall‐Runoff Process , 1995 .

[34]  Anthony J. Jakeman,et al.  Performance of conceptual rainfall‐runoff models in low‐yielding ephemeral catchments , 1997 .

[35]  D. Legates,et al.  Evaluating the use of “goodness‐of‐fit” Measures in hydrologic and hydroclimatic model validation , 1999 .

[36]  R. Moore,et al.  A distribution function approach to rainfall runoff modeling , 1981 .

[37]  R Srikanthan,et al.  Regionalization of Conceptual Model Parameters for Meso-scale Catchments in the Hunter Valley , 1988 .

[38]  S. Sorooshian,et al.  Evaluation of Maximum Likelihood Parameter estimation techniques for conceptual rainfall‐runoff models: Influence of calibration data variability and length on model credibility , 1983 .

[39]  L. Brazil,et al.  Calibration Procedures Use with the National Weather Service River Forecast System , 1980 .

[40]  Keith Beven,et al.  Prophecy, reality and uncertainty in distributed hydrological modelling , 1993 .

[41]  J. Stiffler Reliability estimation , 1996 .

[42]  V. Singh,et al.  The HBV model. , 1995 .

[43]  Alain Dezetter,et al.  Rainfall-runoff modelling and water resources assessment in northwestern Ivory Coast. Tentative extension to ungauged catchments , 1993 .

[44]  P. J. O'Shaughnessy,et al.  A study of canopy interception in native forests and conifer plantations. , 1977 .

[45]  S. Lek,et al.  Modélisation de la relation pluie-débit à l'aide des réseaux de neurones artificiels , 1996 .

[46]  Jane L. Thurman,et al.  New strategies for the water data center , 1995 .

[47]  G. Kuczera Improved parameter inference in catchment models: 1. Evaluating parameter uncertainty , 1983 .

[48]  Keith Beven,et al.  Use of spatially distributed water table observations to constrain uncertainty in a rainfall–runoff model , 1998 .

[49]  Denis A. Hughes,et al.  Assessment of three monthly rainfall-runoff models for estimating the water resource yield of semiarid catchments in Namibia , 1998 .

[50]  A. Shamseldin,et al.  A real-time combination method for the outputs of different rainfall-runoff models , 1999 .

[51]  T. McMahon,et al.  Detection of trend or change in annual flow of Australian rivers , 1993 .

[52]  A. Jayawardena,et al.  A modified spatial soil moisture storage capacity distribution curve for the Xinanjiang model , 2000 .

[53]  C. Willmott ON THE VALIDATION OF MODELS , 1981 .

[54]  N. Nandakumar,et al.  Uncertainty in rainfall—runoff model simulations and the implications for predicting the hydrologic effects of land-use change , 1997 .

[55]  Ch. Obled,et al.  Unit hydrograph revisited: an alternate iterative approach to UH and effective precipitation identification , 1993 .

[56]  F. T. Sefe,et al.  Variation of model parameter values and sensitivity with type of objective function , 1982 .

[57]  S. Wȩglarczyk,et al.  The interdependence and applicability of some statistical quality measures for hydrological models , 1998 .

[58]  R. Ibbitt,et al.  Fitting Methods for Conceptual Catchment Models , 1971 .

[59]  Alparslan Arikan MODALP: a deterministic rainfall-runoff model for large karstic areas , 1988 .

[60]  Xiaoliu Yang,et al.  Comparison of Real-Time Reservoir-Operation Techniques , 1995 .

[61]  Keith Beven,et al.  Changing ideas in hydrology — The case of physically-based models , 1989 .

[62]  S. Sorooshian Comparison of Two Direct Search Algorithms Used in Calibration of Rainfall-Runoff Models , 1980 .

[63]  A. Jakeman,et al.  Computation of the instantaneous unit hydrograph and identifiable component flows with application to two small upland catchments , 1990 .

[64]  L. D. James Hydrologic modeling, parameter estimation, and watershed characteristics , 1972 .

[65]  S. Sorooshian,et al.  Automatic calibration of conceptual rainfall-runoff models: The question of parameter observability and uniqueness , 1983 .

[66]  Murugesu Sivapalan,et al.  Water and salt balance modelling to predict the effects of land‐use changes in forested catchments. 1. Small catchment water balance model , 1996 .

[67]  Michael C. Quick,et al.  A rainfall and snowmelt runoff modelling approach to flow estimation at ungauged sites in British Columbia , 1999 .

[68]  G. Vandewiele,et al.  Monthly water balance of ungauged catchments obtained by geographical regionalization , 1995 .

[69]  Enoch M. Dlamini,et al.  Effects of model complexity and structure, data quality, and objective functions on hydrologic modeling , 1997 .

[70]  Edijatno Mise au point d'un modele elementaire pluie-debit au pas de temps journalier , 1991 .

[71]  Dawen Yang,et al.  Comparison of different distributed hydrological models for characterization of catchment spatial variability , 2000 .

[72]  Trevor M. Daniell,et al.  Assessing model calibration adequacy via global optimisation , 1999 .

[73]  X. R. Liu,et al.  The Xinanjiang model. , 1995 .

[74]  H. H. Rosenbrock,et al.  An Automatic Method for Finding the Greatest or Least Value of a Function , 1960, Comput. J..

[75]  Dominique Thiéry Utilisation d'un modèle global pour identifier sur un niveau piézométrique des influences multiples dues à diverses activités humaines. , 1982 .

[76]  Richard H. McCuen,et al.  The role of sensitivity analysis in hydrologic modeling , 1973 .

[77]  Eric Walter,et al.  A general-purpose global optimizer: implementation and applications , 1984 .

[78]  George Kuczera,et al.  Monte Carlo assessment of parameter uncertainty in conceptual catchment models: the Metropolis algorithm , 1998 .

[79]  Dennis P. Lettenmaier,et al.  Development of regional parameter estimation equations for a macroscale hydrologic model , 1997 .

[80]  Brent M. Troutman,et al.  Errors and Parameter Estimation in Precipitation‐Runoff Modeling: 2. Case Study , 1985 .

[81]  Nilo Nascimento,et al.  GR3J: a daily watershed model with three free parameters , 1999 .

[82]  Keith Beven,et al.  The Institute of Hydrology distributed model , 1987 .

[83]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[84]  F. I. Morton Operational estimates of areal evapotranspiration and their significance to the science and practice of hydrology , 1983 .

[85]  Slobodan P. Simonovic,et al.  Short term streamflow forecasting using artificial neural networks , 1998 .

[86]  Raymond Charbonneau,et al.  Proposition et analyse de quelques critères adimensionnels d'optimisation , 1971 .

[87]  Bernard Bobée,et al.  Daily reservoir inflow forecasting using artificial neural networks with stopped training approach , 2000 .

[88]  Franz Bultot,et al.  CONCEPTUAL HYDROLOGICAL MODEL FOR AN AVERAGE-SIZED CATCHMENT AREA, I. CONCEPTS AND RELATIONSHIPS , 1976 .

[89]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[90]  R. Moore,et al.  Hierarchical testing of three rainfall-runoff models in small forested catchments , 1999 .

[91]  R. Clarke A review of some mathematical models used in hydrology, with observations on their calibration and use , 1973 .

[92]  Francis H. S. Chiew,et al.  Simulation of the impacts of climate change on runoff and soil moisture in Australian catchments , 1995 .

[93]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[94]  S. Sorooshian,et al.  Automatic calibration of conceptual rainfall-runoff models: sensitivity to calibration data , 1996 .

[95]  D. Lettenmaier,et al.  Estimation of the ARNO model baseflow parameters using daily streamflow data , 1999 .

[96]  W. Reimers Estimating hydrological parameters from basin characteristics for large semiarid catchments. , 1989 .

[97]  Zoubir Makhlouf Complements sur le modele pluie-debit gr4j et essai d'estimation de ses parametres , 1994 .

[98]  V. Klemeš,et al.  A hydrological perspective , 1988 .

[99]  Axel Bronstert,et al.  Physically-based hydrological modelling on the hillslope and micro-catchment scale : examples of capabilities and limitations , 1998 .

[100]  C. T. Haan A water yield model for small watersheds , 1972 .

[101]  Göran Lindström,et al.  A COMPARATIVE STUDY OF A SWEDISH AND A CHINESE HYDROLOGICAL MODEL , 1996 .

[102]  R. C. Erdmann,et al.  Sensitivity analysis method of system identification and its potential in hydrologic research , 1969 .

[103]  Rory Nathan,et al.  Identification of homogeneous regions for the purposes of regionalisation , 1990 .

[104]  D. K. Todd,et al.  Application of the Stanford Watershed Model to Nigerian Watersheds , 1976 .

[105]  M. Franchini,et al.  Global optimization techniques for the calibration of conceptual rainfall-runoff models , 1998 .

[106]  Quan J. Wang,et al.  Using genetic algorithms to optimise model parameters , 1997 .

[107]  A. Shamseldin,et al.  Methods for combining the outputs of different rainfall–runoff models , 1997 .

[108]  Walter J. Rawls,et al.  Predicting runoff from Rangeland Catchments: A comparison of two models , 1990 .

[109]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[110]  Peter K. Kitanidis,et al.  Real‐time forecasting with a conceptual hydrologic model: 1. Analysis of uncertainty , 1980 .

[111]  Alain Dezetter Modélisation globale de la relation pluie débit : application en zone de savanes soudanaises (Nord-Ouest de la Côte-d'Ivoire) , 1991 .

[112]  Eric Servat,et al.  Sensitivity of conceptual rainfall-runoff algorithms to errors in input data — case of the GR2M model , 1995 .

[113]  S. Bergström,et al.  Principles and Confidence in Hydrological Modelling , 1991 .

[114]  Xiaoliu Yang,et al.  Mise au point d'une méthode d'utilisation d'un modèle pluie-débit conceptuel pour la prévision des crues en temps réel , 1993 .

[115]  Nilo De Oliveira Nascimento Appréciation à l'aide d'un modèle empirique des effets d'actions anthropiques sur la relation pluie-débit à l'échelle d'un bassin versant , 1995 .

[116]  Keith Beven,et al.  Discharge and water table predictions using a generalised TOPMODEL formulation , 1997 .

[117]  Claude Michel,et al.  Que peut-on faire en hydrologie avec modèle conceptuel à un seul paramètre ? , 1983 .

[118]  A. Rango,et al.  MERITS OF STATISTICAL CRITERIA FOR THE PERFORMANCE OF HYDROLOGICAL MODELS1 , 1989 .

[119]  A. Aitken,et al.  Assessing systematic errors in rainfall-runoff models , 1973 .

[120]  Jene Diane Hendrickson,et al.  Comparison of Newton-type and direct search algorithms for calibration of conceptual rainfall-runoff models , 1988 .

[121]  Michael J. Stewardson,et al.  Comparison of six rainfall-runoff modelling approaches , 1993 .

[122]  J. Nicell,et al.  Evaluation of global optimization methods for conceptual rainfall-runoff model calibration , 1997 .

[123]  Robert Hooke,et al.  `` Direct Search'' Solution of Numerical and Statistical Problems , 1961, JACM.

[124]  Jan Seibert,et al.  Estimation of Parameter Uncertainty in the HBV Model , 1997 .

[125]  Witold F. Krajewski,et al.  Optimization of Complex Hydrologic Models Using Random Search Methods , 1987 .

[126]  P.M.M. Warmerdam,et al.  Modelling rainfall runoff processes in the Hupselse Beek Research basin , 1997 .

[127]  Francis Delaisi La Bataille de l'or , 1933 .

[128]  T. Chapman COMMON UNITGRAPHS FOR SETS OF RUNOFF EVENTS. PART 1: UNITGRAPH IDENTIFICATION FROM STREAMFLOW DATA , 1996 .

[129]  Soroosh Sorooshian,et al.  Response surface parameter sensitivity analysis methods for postcalibration studies , 1982 .

[130]  M. Franchini Use of a genetic algorithm combined with a local search method for the automatic calibration of conceptual rainfall-runoff models , 1996 .

[131]  Th. Leviandier Mise en œuvre et interprétation de la comparaison de modèles , 1988 .

[132]  J. Pirt,et al.  The application of simple moisture accounting models to ungauged catchments , 1985 .

[133]  Jan Feyen,et al.  Comparison of different structures for a monthly water yield model in seasonally snow-covered mountainous watersheds of Iran , 1990 .

[134]  B. Troutman Errors and Parameter Estimation in Precipitation‐Runoff Modeling: 1. Theory , 1985 .

[135]  T. McMahon,et al.  Application of the daily rainfall-runoff model MODHYDROLOG to 28 Australian catchments , 1994 .

[136]  George Kuczera,et al.  Assessment of hydrologic parameter uncertainty and the worth of multiresponse data , 1998 .

[137]  W. Weeks,et al.  A Comparison of Rainfall-Runoff Models , 1980 .

[138]  Soroosh Sorooshian,et al.  The relationship between data and the precision of parameter estimates of hydrologic models , 1985 .

[139]  Chong-Yu Xu,et al.  Parsimonious monthly rainfall-runoff models for humid basins with different input requirements , 1995 .

[140]  Pao-Shan Yu,et al.  Using synthetic flow duration curves for rainfall–runoff model calibration at ungauged sites , 2000 .

[141]  Soroosh Sorooshian,et al.  Calibration of rainfall‐runoff models: Application of global optimization to the Sacramento Soil Moisture Accounting Model , 1993 .

[142]  C. S. Melching An improved first-order reliability approach for assessing uncertainties in hydrologic modeling , 1992 .

[143]  K. Beven,et al.  A physically based, variable contributing area model of basin hydrology , 1979 .

[144]  M. Franchini,et al.  Comparative analysis of several conceptual rainfall-runoff models , 1991 .

[145]  D. Burn,et al.  The formation of groups for regional flood frequency analysis , 2000 .

[146]  Denis Isabel,et al.  Importance of the Convergence Criterion in the Automatic Calibration of Hydrological Models , 1986 .

[147]  P. E. O'Connell,et al.  River flow forecasting through conceptual models part II - The Brosna catchment at Ferbane , 1970 .

[148]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[149]  J. P. Fortin,et al.  Utilisation des données d'un radar météorologique pour la simulation des écoulements en rivière à l'aide d'un modèle hydrologique matriciel , 1987 .

[150]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[151]  C. T. Haan,et al.  VARIABILITY OF OPTIMIZED PARAMETER ESTIMATES BASED ON OBSERVED RECORD LENGTH , 1991 .

[152]  Kieran M. O'Connor,et al.  Application of an empirical infiltration equation in the SMAR conceptual model , 1996 .

[153]  G. Pickup TESTING THE EFFICIENCY OF ALGORITHMS AND STRATEGIES FOR AUTOMATIC CALIBRATION OF RAINFALL-RUNOFF MODELS , 1977 .

[154]  S. Sorooshian,et al.  Shuffled complex evolution approach for effective and efficient global minimization , 1993 .

[155]  S. Sorooshian,et al.  Comparison of simple versus complex distributed runoff models on a midsized semiarid watershed , 1994 .

[156]  H. Houghton-Carr Assessment criteria for simple conceptual daily rainfall-runoff models , 1999 .

[157]  P. R. Johnston,et al.  Parameter optimization for watershed models , 1976 .

[158]  J. Refsgaard,et al.  Operational Validation and Intercomparison of Different Types of Hydrological Models , 1996 .

[159]  Marco Franchini,et al.  Physical interpretation and sensitivity analysis of the TOPMODEL , 1996 .

[160]  K. Singh,et al.  UNIT HYDROGRAPHS – A COMPARATIVE STUDY , 1976 .

[161]  W. Weeks,et al.  Tests of ARMA model forms for rainfall-runoff modelling , 1987 .

[162]  Rob Lamb,et al.  Calibration of a conceptual rainfall‐runoff model for flood frequency estimation by continuous simulation , 1999 .

[163]  S. Uhlenbrook,et al.  Prediction uncertainty of conceptual rainfall-runoff models caused by problems in identifying model parameters and structure , 1999 .

[164]  E. Tsykin,et al.  Multiple nonlinear statistical models for runoff simulation and prediction , 1985 .

[165]  P. D. Hutchinson,et al.  Model Parameter Consistency and Fitting Criteria , 1984 .

[166]  A. Shamseldin Application of a neural network technique to rainfall-runoff modelling , 1997 .

[167]  T. A. McMahon,et al.  A model for the simulation of streamflow data from climatic records , 1971 .

[168]  Jacques Lavabre,et al.  Changes in the hydrological response of a small Mediterranean basin a year after a wildfire , 1993 .

[169]  Eric Servat,et al.  Climatic variability in humid Africa along the Gulf of Guinea Part I: detailed analysis of the phenomenon in Côte d'Ivoire , 1997 .

[170]  Konstantine P. Georgakakos,et al.  Measurement and utilization of on-site soil moisture data , 1996 .

[171]  Anthony J. Jakeman,et al.  DYNAMIC RESPONSE CHARACTERISTICS OF THE PLYNLIMON CATCHMENTS AND PRELIMINARY ANALYSIS OF RELATIONSHIPS TO PHYSICAL DESCRIPTORS , 1995 .

[172]  E. Todini The ARNO rainfall-runoff model , 1996 .

[173]  Vijay P. Singh,et al.  Comparison of simple runoff models used in Korea for small watersheds , 1999 .

[174]  H. L. Penman Natural evaporation from open water, bare soil and grass , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[175]  E. Hansen,et al.  NUMERICAL SIMULATION OF THE RAINFALL-RUNOFF PROCESS ON A DAILY BASIS , 1973 .

[176]  Jens Christian Refsgaard,et al.  Assessing the effect of land use change on catchment runoff by combined use of statistical tests and hydrological modelling: Case studies from Zimbabwe , 1998 .

[177]  Donald H. Burn,et al.  Estimation of hydrological parameters at ungauged catchments , 1993 .

[178]  Q. J. Wang The Genetic Algorithm and Its Application to Calibrating Conceptual Rainfall-Runoff Models , 1991 .

[179]  Soroosh Sorooshian Synthesis of hydrologic and system sciences in the development of rainfall-runoff models , 1985 .

[180]  T. Leviandier,et al.  Fitting a conceptual hydrologic model accounting for nitrate loss in an agricultural representative basin. , 1990 .

[181]  Soroosh Sorooshian,et al.  Toward improved calibration of hydrologic models: Multiple and noncommensurable measures of information , 1998 .

[182]  Jan Seibert,et al.  Regionalisation of parameters for a conceptual rainfall-runoff model , 1999 .

[183]  R. Mein,et al.  Sensitivity of optimized parameters in watershed models , 1978 .

[184]  Keith Beven,et al.  The future of distributed models: model calibration and uncertainty prediction. , 1992 .

[185]  L. Braun,et al.  Application of a conceptual runoff model in different physiographic regions of Switzerland , 1992 .

[186]  James C. I. Dooge,et al.  Hydrology past and present , 1988 .

[187]  N Oreskes,et al.  Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences , 1994, Science.

[188]  A. Dezetter,et al.  Selection of calibration objective fonctions in the context of rainfall-ronoff modelling in a Sudanese savannah area , 1991 .

[189]  V. Klemeš,et al.  Operational Testing of Hydrological Simulation Models , 2022 .

[190]  A. Jakeman,et al.  How much complexity is warranted in a rainfall‐runoff model? , 1993 .

[191]  David R. Dawdy,et al.  Mathematical Models of Catchment Behavior , 1965 .

[192]  D. Burn Catchment similarity for regional flood frequency analysis using seasonality measures , 1997 .

[193]  D. Vidal-Madjar,et al.  Introduction of the soil/vegetation/atmosphere continuum in a conceptual rainfall/runoff model , 1996 .

[194]  Keith Beven,et al.  Flood frequency estimation by continuous simulation for a gauged upland catchment (with uncertainty) , 1999 .

[195]  R. P. Canale,et al.  Comparison of first‐order error analysis and Monte Carlo Simulation in time‐dependent lake eutrophication models , 1981 .

[196]  Göran Lindström,et al.  Development and test of the distributed HBV-96 hydrological model , 1997 .

[197]  Jan Seibert,et al.  Multi‐criterial validation of TOPMODEL in a mountainous catchment , 1999 .

[198]  Dean C. Karnopp,et al.  Random search techniques for optimization problems , 1963, at - Automatisierungstechnik.

[199]  Chong-Yu Xu,et al.  Methodology and comparative study of monthly water balance models in Belgium, China and Burma , 1992 .

[200]  G. W. Kite Development of a hydrologic model for a Canadian watershed , 1978 .

[201]  B. Ambroise,et al.  Multicriterion Validation of a Semidistributed Conceptual Model of the Water Cycle in the Fecht Catchment (Vosges Massif, France) , 1995 .

[202]  C. T. Haan,et al.  Multiobjective Parameter Estimation For Hydrologic Models - Weighting Of Errors , 1991 .

[203]  R. Allan Freeze,et al.  A Comparison of Rainfall-Runoff Modeling Techniques on Small Upland Catchments , 1985 .

[204]  S. Sorooshian,et al.  Uniqueness and observability of conceptual rainfall‐runoff model parameters: The percolation process examined , 1983 .

[205]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[206]  Chong-Yu Xu,et al.  Regionalisation of physically-based water balance models in Belgium. Application to ungauged catchments , 1991 .

[207]  C. Michel,et al.  Flood forecasting with a watershed model: a new method of parameter updating , 2000 .

[208]  M. B. Abbott,et al.  The Role of Distributed Hydrological Modelling in Water Resources Management , 1990 .

[209]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..