Nonlinear Runoff Modeling: Parameter Identification
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 6
Abstract
A nonlinear functional rainfall‐runoff model is applied to an urban watershed (Curotte‐Papineau, Montréal) and the results are compared with those from the ILLUDAS model. Simulations are performed using a 5 minute time interval in order to better define the characteristics of the hydrographs. Particular emphasis is placed on the identification of the most appropriate set of model parameters, namely the memory of the catchment (U) and the order of expansion of the first‐ and second‐order kernels and Parameter identification based on calibration results alone can lead to unpredictable verification (prediction) results; while calibration results improve with increasing values of and verification results do not exhibit the same consistency. Consequently, a two‐way calibration‐verification analysis is recommended for obtaining the best set of model parameters. Further, results of the nonlinear functional runoff model compare favorably with those of the ILLUDAS model.
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References
1.
Amorocho, J., “Nonlinear Hydrologic Analysis,” Advances in Hydroscience, Vol. 9, V. T. Chow, ed., Academic Press, Inc., New York, N.Y., 1973, pp. 203–251.
2.
Amorocho, J., “The Nonlinear Prediction Problem in the Study of the Runoff Cycle,” Water Resources Research, Vol. 3, No. 3, June, 1967, pp. 861–880.
3.
Amorocho, J., “Stochastic Modeling of Precipitation in Space and Time,” presented at the May 18–21, 1981, International Symposium on Rainfall‐Runoff Modeling, held at Mississippi State University, Mississippi State, Miss.
4.
Amorocho, J., and Brandstetter, A., “Determination of the Nonlinear Functional Response Functions in Rainfall‐Runoff Processes,” Water Resources Research, Vol. 7, No. 5, Oct., 1971, pp. 1087–1101.
5.
Beck, M. B., “Dynamic Modelling and Control Applications in Water Quality Maintenance,” Water Research, Vol. 10, No. 7, July, 1976, pp. 575–595.
6.
Beck, M. B., “The Identification and Adaptive Prediction of Urban Sewer Flows,” International Journal of Control, Vol. 25, No. 3, Mar., 1977, pp. 425–440.
7.
Bidwell, V. J., “Regression Analysis of Nonlinear Catchment Systems,” Water Resources Research, Vol. 7, No. 5, Oct., 1971, pp. 1118–1126.
8.
Brandstetter, A., “Assessment of Mathematical Models for Storm and Combined Sewer Management,” Report No. EPA‐600/2‐76‐175a, United States Environmental Protection Agency, Municipal Environmental Research Laboratory, Cincinnati, Ohio, Aug., 1976.
9.
Brandstetter, A., and Amorocho, J., “Generalized Analysis of Small Watershed Responses,” Water Science and Engineering Paper No. 1035, Department of Water Science and Engineering, University of California, Davis, Calif., 1970.
10.
Brandstetter, A., Field, R., and Torno, H. C., “Evaluation of Mathematical Models for the Simulation of Time‐Varying Runoff and Water Quality in Storm and Combined Sewerage Systems,” Proceedings, Conference on Environmental Modeling and Simulation, United States Environmental Protection Agency, EPA‐600/9‐76‐016, July, 1976, pp. 548–552.
11.
Delleur, J. W., “Mathematical Modeling in Urban Hydrology,” presented at the May 18‐21, 1981, International Symposium on Rainfall‐Runoff Modeling, held at Mississippi State University, Mississippi State, Miss.
12.
Delleur, J. W., and Dendrou, S. A., “Modeling the Runoff Process in Urban Areas,” CRC Critical Reviews in Environmental Control, July, 1980, pp. 1–64.
13.
Diskin, M. H., and Boneh, A., “Determination of the Optimal Kernels for Second Order Stationary Surface Runoff Systems,” Water Resources Research, Vol. 9, No. 2, Apr., 1973, pp. 311–325.
14.
Finch, R., “Optimization of the Nonlinear Rainfall‐Runoff Model,” thesis presented to the University of California, at Davis, Calif., in 1980, in partial fulfillment of the requirements for the degree of Master of Science.
15.
Huber, W. C., and Heaney, J. P., “Analyzing Residuals Generation and Discharge from Urban and Non Urban Surfaces,” Analysis for Residual—Environmental Quality Management: Analyzing Natural Systems, D. J. Basta and B. T. Bower, eds., Resources for the Future, United States Environmental Protection Agency, Dec., 1979.
16.
Jacoby, S. L. S., “A Mathematical Model for Nonlinear Hydrologic Systems,” Journal of Geophysical Research, Vol. 71, No. 20, Oct., 1966, pp. 4811–4824.
17.
Liu, C. C.‐K., and Brutsaert, W., “A Nonlinear Analysis of the Relationships Between Rainfall and Runoff for Extreme Floods,” Water Resources Research, Vol. 14, No. 1, 1978, pp. 75–83.
18.
McPherson, M. B., “Integrated Control of Combined Sewer Regulators Using Weather Radar,” United States Environmental Protection Agency, Municipal Environmental Research Laboratory, Grant No. R806702 (preliminary report), Oct., 1980.
19.
Paquin, G., “Wastewater Interception on the Communauté Urbaine de Montréal,” Proceedings, Stormwater Management Model Users' Group Meeting, United States Environmental Protection Agency, May, 1979, pp. 224–274.
20.
Patry, G., and Marchi, G., “Manuel de 1'Utilisateur du Modéle ILLUDAS (Poly. 79),” Rapport GREMU‐79/4, Groupe de Recherche sur l'Eau en Milieu Urbain, Ecole Polytechnique de Montréal, Déc., 1979.
21.
Patry, G., Raymond, L., and Marchi, G., “Description and Application of an Interactive Mini‐computer Version of the ILLUDAS Model,” Proceedings, Stormwater Management Model Users' Group Meeting, United States Environmental Protection Agency, May, 1979, pp. 224–274.
22.
Rao, A. R., and Rao, R. G. S., “Analysis of the Effects of Urbanization on Runoff by the Nonlinear Functional Series Model of Rainfall‐Runoff Process,” Proceedings, International Symposium on Urban Hydrology, Hydraulics and Sediment Control, University of Kentucky, Lexington, Ky., July, 1977, pp. 209–220.
23.
Rao, A. R., and Rao, R. G. S., “Comparative Analysis of Estimation Methods in Nonlinear Functional Models of the Rainfall‐Runoff Process,” Technical Report No. 56, Water Resources Research Center, Purdue University, West Lafayette, Ind., Dec., 1974.
24.
Roy, R. G., and Sherman, J., “A Learning Technique for Volterra Series Representation,” IEEE Transactions on Automatic Control, Vol. AC12, No. 6, Dec., 1967, pp. 761–764.
25.
Terstriep, M. L., and Stall, J. B., “The Illinois Urban Drainage Area Simulator, ILLUDAS,” Bulletin No. 58, Illinois State Water Survey, Urbana, Ill., 1974.
26.
Wenzel, H. G., and Terstriep, M. L., “Sensitivity of Selected ILLUDAS Parameters,” Report No. 178, Illinois State Water Survey, Urbana, Ill., 1976.
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Copyright © 1983 ASCE.
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Published online: Jun 1, 1983
Published in print: Jun 1983
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