Combining Rainfall-Runoff Model Outputs for Improving Ensemble Streamflow Prediction
Publication: Journal of Hydrologic Engineering
Volume 11, Issue 6
Abstract
This study reviewed various combining methods that have been commonly used in economic forecasting, and examined their applicability in hydrologic forecasting. The following combining methods were investigated: The simple average, constant coefficient regression, switching regression, sum of squared error, and artificial neural network combining methods. Each method combines ensemble streamflow prediction (ESP) scenarios of the existing rainfall-runoff model, TANK, those of the new rainfall-runoff model that has been developed using an ensemble neural network for forecasting the monthly inflow to the Daecheong multipurpose dam in Korea. In addition to the combining, the ESP scenarios were adjusted using correction methods, such as optimal linear and artificial neural network correction methods. Among the tested combining methods, sum of squared error (SSE), a combining method using time-varying weights, performed best with respect to the root mean square error. When SSE was coupled with optimal linear correction (OLC), denoted SSE/OLC, its bias became sufficiently close to zero. SSE/OLC also considerably improved the probabilistic forecasting accuracy of the existing ESP system.
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Acknowledgments
This research was supported by a grant (code 1-6-1) from Sustainable Water Resources Research Center of 21st Century Frontier Research Program and was also supported by the Engineering Research Institute, Seoul National University, Seoul, Korea.
References
Armstrong, J. S. (1989). “Combining forecasts: The end of the beginning or the beginning of the end?” Int. J. Forecast., 5, 585–588.
Bates, J. M., and Granger, C. W. J. (1969). “The combination of forecasts.” Oper. Res. Q., 20, 451–468.
Beven, K. J., and Freer, J. (2001). “Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology.” J. Hydrol., 249, 11–29.
Box, G. E. P., and Jenkins, G. C. (1970). Time series analysis: Forecasting and control, Holden-Day, Inc., Calif.
Breiman, L. (1996). “Bagging predictors.” Machine Learning, 24(2), 123–140
Cannon, A. J., and Whitfield, P. H. (2002). “Downscaling recent streamflow conditions in British Columbia, Canada using ensemble neural network models.” J. Hydrol., 259, 136–151.
Clemen, R. T. (1989). “Combining forecasts: A review and annotated bibliography.” Int. J. Forecast., 5, 559–583.
Clemen, R. T., Murphy, A. H., and Winkler, R. L. (1995). “Screening probability forecasts: Contrasts between choosing and combining.” Int. J. Forecast., 11, 133–146.
Croley, T. E., II (2000). Using meteorology probability forecasts in operational hydrology, ASCE, Reston, Va.
Day, G. N. (1985). “Extended streamflow forecasting using NWSFRS.” J. Water Resour. Plann. Manage., 111(2), 157–170.
Deutsch, M., Granger, C. W. J., and Teräsvirta, T. (1994). “The combination of forecasts using changing weights.” Int. J. Forecast., 10, 47–57.
Donaldson, R. G., and Kamstra, M. (1996). “Forecast combining with neural networks.” J. Forecast., 15, 49–61.
Duan, Q., Sorooshian, S., and Gupta, V. (1992). “Effective and efficient global optimization for conceptual rainfall-runoff models.” Water Resour. Res., 28 (4), 1015–1031.
Figlewski, S., and Urich, T. (1983). “Optimal aggregation of money supply forecasts: accuracy, profitability and market efficiency.” J. Financ., 28, 695–710.
Georgakakos, K. P., and Krzysztofowicz, R. (2001). “Special issue on probabilistic and ensemble forecasting in hydrology.” J. Hydrol., 249, 1–196.
Goodwin, P. (2000). “Correct or combine? Mechanically integrating judgmental forecasts with statistical methods.” Int. J. Forecast., 16, 261–275.
Granger, C. W. J., and Newbold, P. (1977). Forecasting economic time series, Academic, New York.
Granger, C. W. J., and Ramanathan, R. (1984). “Improved methods of combining forecasts.” J. Forecast., 3, 197–204
Haykin, S. (1994). Neural networks: A comprehensive foundation, MacMillan, New York.
Jeong, D. I., and Kim, Y.-O. (2002). “Forecasting monthly inflow to Chungju dam using ensemble streamflow prediction.” J. Korean Society of Civil Engineers, 22 (3-B), 321–331 (in Korean).
Jeong, D. I., and Kim, Y.-O. (2005). “Rainflow-runoff models using artificial neural networks for ensemble streamflow prediction.” Hydrol. Processes, 19, 3819–3835.
Kang, H. (1986). “Unstable weights in the combining forecasts.” Manage. Sci., 32, 683–695.
Kim, Y.-O., Jeong, D. I., and Kim, H. S. (2001). “Improving water supply outlooks in Korea with ensemble streamflow prediction.” Water Int., 26 (4), 563–568.
Krzysztofowicz, R. (1999). “Bayesian theory of probabilistic forecasting via deterministic hydrologic model.” Water Resour. Res., 35 (9), 2739–2750.
Makridakis, S., and Winkler, R. (1983). “Average of forecasts: Some empirical results.” Manage. Sci., 29 (9), 987–996.
McLeod, A. I., Noakes, D. J., Hipel, K. W., and Thompstone, R. M. (1987). “Combining hydrologic forecast.” J. Water Resour. Plann. Manage., 113 (1), 29–41.
Perrone, M. P. (1993). “Improving regression estimates: Averaging methods for variance reduction with extensions to general convex measure optimization.” Ph.D. thesis, Brown Univ., Providence, R.I.
Shamseldin, A. Y., and O'Connor, K. M. (1999). “A real-time combining method for the outputs of different rainfall-runoff models.” Hydrol. Sci. J., 44 (6), 895–912.
Shamseldin, A. Y., O'Connor, K. M., and Liang, G. C. (1997). “Methods for combining the outputs of different rainfall-runoff models.” J. Hydrol., 197, 203–229.
Stedinger, J. R., and Kim, Y.-O. (2002). “Updating ensemble probabilities based on climate forecasts.” 2002 Conf. on Water Resources Planning Management (CD-ROM), ASCE, Roanoke, Va.
Sugawara, M. (1974). Tank model with snow component, National Research Center for Disaster Prevention, Japan.
Taylor, J. W., and Bunn, D. W. (1999). “Investigating improvements in the accuracy of prediction intervals for combinations of forecasting: A simulation study.” Int. J. Forecast., 15, 325–339.
Terui, N., and Dijk, H. K. V. (2002). “Combining forecasts from linear and nonlinear time series models.” Int. J. Forecast., 18, 421–438.
Theil, H. (1971). Applied economic forecasting, Amsterdam, North-Holland.
Wilks, D. S. (1995). Statistical method in the atmospheric sciences: An introdution, Academic, San Diego.
Winkler, R. L., and Makridakis, S. (1983). “The combination of forecasts.” J. R. Stat. Soc. Ser. A. Gen., 146, 150–157.
Zou, H., and Yang, Y. (2004). “Combining time series models for forecasting.” Int. J. Forecast., 20, 69–84.
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Received: Oct 1, 2004
Accepted: Nov 15, 2005
Published online: Nov 1, 2006
Published in print: Nov 2006
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