Flood frequency estimation by continuous simulation for a catchment treated as ungauged (with uncertainty)

A general methodology for flood frequency estimation based on continuous simulation is here applied to a gauged site in the Czech Republic treated as if it was ungauged. In this implementation, stochastic temperature and precipitation models are used to drive TOPMODEL to simulate stream discharges. The coupled model parameters are varied randomly across specified ranges using Monte Carlo simulation. The results from a sample of 48,600 simulations each of length 100 years using an hourly time step are conditioned on low return period regionalized flood frequency, snow water equivalent, and flow duration curve information. Performance measures for each predicted variable are combined using fuzzy inference and simulations considered as nonbehavioral are rejected. 10,000-year simulations are made with the remaining 2281 behavioral simulations to produce prediction limits for flood magnitudes and other response variables at different return periods. The results are checked against a historical series of annual maximum discharges available at the site for a period before it was destroyed by the construction of a dam. The results compare well and appear to give more realistic prediction bounds than statistical extrapolations based on the Wakeby distribution, particularly at longer return periods.

[1]  Keith Beven,et al.  Uniqueness of place and process representations in hydrological modelling , 2000 .

[2]  K. Beven,et al.  On constraining the predictions of a distributed model: The incorporation of fuzzy estimates of saturated areas into the calibration process , 1998 .

[3]  Keith Beven,et al.  An evaluation of three stochastic rainfall models. , 2000 .

[4]  Eric F. Wood,et al.  A derived flood frequency distribution using Horton Order Ratios , 1982 .

[5]  K. Beven,et al.  MODELLING THE HYDROLOGICAL RESPONSE OF MEDITERRANEAN CATCHMENTS, PRADES, CATALONIA. THE USE OF DISTRIBUTED MODELS AS AIDS TO HYPOTHESIS FORMULATION , 1997 .

[6]  Keith Beven,et al.  Modelling extreme rainfalls using a modified random pulse Bartlett–Lewis stochastic rainfall model (with uncertainty) , 2000 .

[7]  Sarah M. Dunn Imposing constraints on parameter values of a conceptual hydrological model using baseflow response , 1999 .

[8]  K. Beven,et al.  Modelling of streamflow at Slapton Wood using TOPMODEL within an uncertainty estimation framework. , 1996 .

[9]  Dennis McLaughlin,et al.  Estimation of flood frequency: An evaluation of two derived distribution procedures , 1987 .

[10]  Juan B. Valdés,et al.  Estimation of flood frequencies for ungaged catchments , 1993 .

[11]  Keith Beven,et al.  Flood frequency prediction for data limited catchments in the Czech Republic using a stochastic rainfall model and TOPMODEL , 1997 .

[12]  Jayantha Obeysekera,et al.  FLOOD-FREQUENCY DERIVATION FROM KINEMATIC WAVE , 1991 .

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

[14]  Frequency version of TOPMODEL as a tool for assessing the impact of climate variability on flow sources and flood peaks. , 1995 .

[15]  Keith Beven,et al.  Flood frequency estimation by continuous simulation under climate change (with uncertainty) , 2000 .

[16]  C. W. Thornthwaite An approach toward a rational classification of climate. , 1948 .

[17]  Keith Beven,et al.  Runoff Production and Flood Frequency in Catchments of Order n: An Alternative Approach , 1986 .

[18]  K. Beven,et al.  Bayesian Estimation of Uncertainty in Runoff Prediction and the Value of Data: An Application of the GLUE Approach , 1996 .

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

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

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

[22]  Keith Beven,et al.  Flood frequency estimation under climate change (with uncertainty). , 2000 .

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

[24]  Keith Beven,et al.  Towards the use of catchment geomorphology in flood frequency predictions , 1987 .

[25]  Keith Beven,et al.  On hydrologic similarity: 3. A dimensionless flood frequency model using a generalized geomorphologic unit hydrograph and partial area runoff generation , 1990 .

[26]  Ignacio Rodriguez-Iturbe,et al.  Geomorphoclimatic estimation of extreme flow probabilities , 1983 .

[27]  Keith Beven,et al.  Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology , 2001 .

[28]  David R. Dawdy,et al.  Physical interpretations of regional variations in the scaling exponents of flood quantiles , 1995 .

[29]  Keith Beven,et al.  TOPMODEL : a critique. , 1997 .

[30]  Keith Beven,et al.  Flood frequency estimation by continuous simulation (with likelihood based uncertainty estimation) , 2000 .

[31]  J. R. Wallis,et al.  Regional Frequency Analysis: An Approach Based on L-Moments , 1997 .

[32]  Keith Beven,et al.  APPLICATION OF A GENERALIZED TOPMODEL TO THE SMALL RINGELBACH CATCHMENT, VOSGES, FRANCE , 1996 .

[33]  P. S. Eagleson Dynamics of flood frequency , 1972 .

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

[35]  Murugesu Sivapalan,et al.  On hydrologic similarity, 3. A dimensionless flood frequency model using a generalized GUH and partial area runoff generation , 1990 .

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

[37]  Rob Lamb,et al.  RIVER FLOOD FREQUENCY ESTIMATION USING CONTINUOUS RUNOFF MODELLING. , 1999 .