Estimation of parameters in a distributed precipitation-runoff model for Norway

Abstract. A distributed version of the HBV-model using 1 km2 grid cells and daily time step was used to simulate runoff from the entire land surface of Norway for the period 1961-1990. The model was sensitive to changes in small scale properties of the land surface and the climatic input data, through explicit representation of differences between model elements, and by implicit consideration of sub-grid variations in moisture status. A geographically transferable set of model parameters was determined by a multi-criteria calibration strategy, which simultaneously minimised the residuals between model simulated and observed runoff from 141 Norwegian catchments located in areas with different runoff regimes and landscape characteristics. Model discretisation units with identical landscape classification were assigned similar parameter values. Model performance was evaluated by simulating discharge from 43 independent catchments. Finally, a river routing procedure using a kinematic wave approximation to open channel flow was introduced in the model, and discharges from three additional catchments were calculated and compared with observations. The model was used to produce a map of average annual runoff for Norway for the period 1961-1990. Keywords: distributed model, multi-criteria calibration, global parameters, ungauged catchments.

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

[2]  A. Pettitt A Non‐Parametric Approach to the Change‐Point Problem , 1979 .

[3]  B. Johansson Areal Precipitation and Temperature in the Swedish Mountains: An Evaluation from a Hydrological Perspective , 2000 .

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

[5]  Bruno Merz,et al.  An analysis of the effects of spatial variability of soil and soil moisture on runoff , 1997 .

[6]  Stein Beldring,et al.  Multi-criteria validation of a precipitation–runoff model , 2002 .

[7]  W. Sloan,et al.  UP Modelling System for large scale hydrology: deriving large-scale physically-based parameters for the Arkansas-Red River basin , 1999 .

[8]  Murugesu Sivapalan,et al.  Conservation equations governing hillslope responses: Exploring the physical basis of water balance , 2000 .

[9]  Wolfgang-Albert Flügel,et al.  Delineating hydrological response units by geographical information system analyses for regional hydrological modelling using PRMS/MMS in the drainage basin of the River Bröl, Germany , 1995 .

[10]  J. Refsgaard Parameterisation, calibration and validation of distributed hydrological models , 1997 .

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

[12]  L. Gottschalk,et al.  Estimation of Regional Parameters in a Macro Scale Hydrological Model , 2001 .

[13]  Lars-Christer Lundin,et al.  Energy, water and carbon exchange in a boreal forest landscape - NOPEX experiences , 1999 .

[14]  Geir-Harald Strand,et al.  Kriging the potential tree level in Norway , 1998 .

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

[16]  V. Klemeš Conceptualization and scale in hydrology , 1983 .

[17]  H. Alexandersson A homogeneity test applied to precipitation data , 1986 .

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

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

[20]  C. Vorosmarty,et al.  Linked atmosphere-hydrology models at the macroscale , 1993 .

[21]  Henrik Madsen,et al.  Parameter estimation in distributed hydrological catchment modelling using automatic calibration with multiple objectives , 2003 .

[22]  A-Xing Zhu,et al.  Effects of spatial detail of soil information on watershed modeling , 2001 .

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

[24]  H. Rohdenburg,et al.  Transferable parameterization methods for distributed hydrological and agroecological catchment models , 1986 .

[25]  A. Lilly,et al.  Investigating the relationship between a soils classification and the spatial parameters of a conceptual catchment-scale hydrological model , 2001 .

[26]  Bruno CaprileIRST MODEL CALIBRATION , 1997 .

[27]  L. Gottschalk,et al.  Regional/macroscale hydrological modelling: a Scandinavian experience , 2001 .

[28]  D. Lettenmaier,et al.  Effects of land cover change on streamflow in the interior Columbia River Basin (USA and Canada) , 2000 .

[29]  C. Merry,et al.  Automatic extraction of watershed characteristics using spatial analysis techniques with application to groundwater mapping , 1995 .

[30]  S. Beldring Runoff Generating Processes in Boreal Forest Environments with Glacial Tills , 2002 .

[31]  L. Gottschalk,et al.  Hydrologic Regions in the Nordic Countries , 1979 .

[32]  L. Gottschalk,et al.  Validation of a distributed hydrological model against spatial observations , 1999 .

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

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

[35]  C. Daly,et al.  A Statistical-Topographic Model for Mapping Climatological Precipitation over Mountainous Terrain , 1994 .

[36]  P. Naden A routing model for continental-scale hydrology , 1993 .

[37]  Nigel W. Arnell,et al.  A simple water balance model for the simulation of streamflow over a large geographic domain , 1999 .

[38]  A. Becker,et al.  Disaggregation, aggregation and spatial scaling in hydrological modelling , 1999 .

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

[40]  D. Lettenmaier,et al.  Effects of land‐cover changes on the hydrological response of interior Columbia River basin forested catchments , 2002 .