Managing uncertainty in hydrological models using complementary models

Abstract Handling uncertainties in a conceptual rainfall—runoff model is approached as an error modelling problem. The approach is based on the application of a parallel data-driven model that uses available measured data and previous model errors at specific time steps to forecast the errors of the conceptual model. The average mutual information technique is used to study the relationship between the different variables and the model errors at varying lag times. The resulting information is used to select the most related input data and the lead time at which they can be best applied in the error-forecast model. The method is applied to a conceptual rainfall—runoff model of the Sieve basin in Tuscany, Italy. Artificial neural network models trained to forecast the residuals of the conceptual model at lead times of 1–6 h are applied to forecast the errors and improve the subsequent flow forecasts. The research shows that using a parallel data-driven model to complement the conceptual model produces much better runoff predictions in comparison to using the conceptual model alone.

[1]  A. W. Minns,et al.  Artificial neural networks as rainfall-runoff models , 1996 .

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

[3]  M. G. Anderson,et al.  DATA-BASED MECHANISTIC MODELLING AND VALIDATION OF RAINFALL-FLOW PROCESSES , 2001 .

[4]  Asaad Y. Shamseldin,et al.  A non-linear neural network technique for updating of river flow forecasts , 2001 .

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

[6]  Isabella Morlini,et al.  Artificial neural network estimation of rainfall intensity from radar observations , 2000 .

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

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

[9]  D. Solomatine,et al.  Model trees as an alternative to neural networks in rainfall—runoff modelling , 2003 .

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

[11]  Jens Christian Refsgaard,et al.  Validation and Intercomparison of Different Updating Procedures for Real-Time Forecasting , 1997 .

[12]  Peter Young,et al.  Data-based Mechanistic Modelling and Validation of Rainfall-flow Processes , 2001 .

[13]  Keith Beven,et al.  Dynamic real-time prediction of flood inundation probabilities , 1998 .

[14]  V. Singh,et al.  Application of the Kalman filter to the Nash model , 1998 .

[15]  Demetris F. Lekkas,et al.  Improved non-linear transfer function and neural network methods of flow routing for real-time forecasting , 2001 .

[16]  D. P. Solomatine,et al.  Two Strategies of Adaptive Cluster Covering with Descent and Their Comparison to Other Algorithms , 1999, J. Glob. Optim..

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

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

[19]  U. C. Kothyari,et al.  Artificial neural networks for daily rainfall—runoff modelling , 2002 .

[20]  Charles M. Bachmann,et al.  Neural Networks and Their Applications , 1994 .

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

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

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

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

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

[26]  P. E. O'connell,et al.  River flow forecasting through conceptual models part III - The Ray catchment at Grendon Underwood , 1970 .

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

[28]  A. Soldati,et al.  Artificial neural network approach to flood forecasting in the River Arno , 2003 .