Abstract
Two distributed rainfall-runoff models were developed separately by using linear and nonlinear storage approaches for simulating the heterogeneity of hydrological processes over the catchment. A 1 × 1 km grid-based mesh was used to abstract the geometry of the catchment. The hydrological processes and geographic information were modeled on this scale. Both linear and nonlinear models were calibrated by global optimization technique. The models to simulate spatial hydrological processes over a catchment were verified using the observed hydrographs at two stream gauged stations within the catchment. The nonlinear model has better performance than the linear model for two verification storm events.
Similar content being viewed by others
References
Abbott, M. B., Bathurst, J. C., Cung, J. A., O'Connell, P. E. and Rasmussen, J.: 1986, An introduction to the European Hydrological Syatem-Systeme Hydrologique European SHE 2: Structure of a physically-based, distributed modelling system, J. Hydrol. 87, 61–77.
Beven, K. J.: 1985, Distributed Model, in: M. G. Anderson and T. P. Burt (eds.), Hydrological Forecasting, Wiely.
Beven, K. J., Kirkby, M. J., Schofield, N. and Tagg, A. F.: 1984, Testing a physically-based flood forecasting model (TOPMODEL) for three U.K. catchments, J. Hydrol. 69, 119–143.
Beven K. J. and O'Connell, P. E.: 1982, On the role of physically-based distributed modelling in hydrology, Report No. 81, Institute of Hydrology, Wallingford, U.K.
Brazil, L. E. and Krajewski, W. F.: 1987, Optimization of complex hydrologic models using random search methods, paper presented at Engineering Hydrology Conference, Hydraul. Div., Am. Soc. Civ. Eng., Williamsburg, Va., Aug. 3-7.
Diskin, M. H., Wyseure, G. and Feyen, J.: 1984, Application of a cell model to the Bellebeek watershed, Nordic Hydrol. 15, 25–38.
Diskin, M. H. and Simpson, E. S.: 1978, A quasi-linear spatial distribution cell model for the surface runoff system, Water Resource Bull. 14, 903–918.
Duan, Q., Sorooshian, S. and Gupta, V. K.: 1992, Effective and efficient global optimization for conceptual rainfall-runoff model, Water Resour. Res. 28(4), 1015–1031.
Duan, Q., Gupta, V. K. and Sorooshian, S.: 1993, A shuffled complex evolution approach for effective and efficient global minimization, J. Optim. Theory Appl. 76(3), 501–521.
Edward, W. R., Woolhiser, D. A. and Smith, R. E.: 1977, A distributed kinematic model of upland watershed, Hydrology Paper No. 93, Colorado State University.
Gupta, V. K. and Sorooshian, S.: 1985, The automatic calibration of algorithms, Water Resour. Res. 21(4), 473–486.
Hendrickson, J. D., Sorooshian, S. and Brazil, L.: 1988, Comparison of Newton-type and direct search algorithms for calibration of conceptual rainfall-runoff models, Water Resour. Res. 24(5), 691–700.
Jayawardena, A.W. and White, J.K.: 1977, A finite element distributed catchment model (1):Analysis basis, J. Hydrol. 34, 269–286.
Jayawardena, A. W. and White, J. K.: 1979, A finite element distributed catchment model (2): Application to real catchment, J. Hydrol. 42, 231–249.
Jø nch-Clausen, T.: 1979, Systeme hydrological Europeen: A Short Description SHE, Report 1, Danish Hydraulics Institute, Horsholm, Denmark.
Knudsen, J., Thomsen, A. and Refsgaard, J. C.: 1986, WATBAL: A semi-distributed physically based hydrological modelling system, Nordic Hydrol. 17, 347–362.
Laurenson, E. M.: 1964, A catchment storage model for runoff routing, J. Hydrol. 2, 141–163.
Mein, R. G., Laurenson, E. M. and McMabon, T. A.: 1974, Simple nonlinear model for flood estimation, ASCE 100, [HY11], 1507–1517.
Morris, E. M.: 1980, Forecasting flood flows in grassy and forecasted catchments using a deterministic distributed mathematics model, IAHS Publ. No. 129, pp. 247–255.
Pederson, J. T., Peter, J. C. and Helweq, O. J.: 1980, Hydrographs by single linear reservoir model, ASCE 106, [HY5], pp. 837–851.
Quimpo, R. G.: 1984, Spatial heterogeneity and models of surface runoff, Internat. Conf. on Water Resource Engineering, Bangkok, Thailand, January, pp. 10–13.
Ross, B. B., Contractor, D. N. and Shanholtz, V. O.: 1979, A finite element model of overland and channel flow for accessing the hydrologic impact of land use change, J. Hydrol. 41, 11–30.
Shanholtz, V. O., Ross, B. B. and Carr, J. C.: 1981, Effect of spatial variability on the simulation of overland and channel flow, Trans. ASAE, 124–133.
Sorooshian, S., Duan, Q. and Gupta, V. K.: 1993, Calibration of rainfall-runoff models: application of global optimization to the Sacramento soil moisture accounting model, Water Resour. Res. 29(4), 1185–1194.
The Council of Agriculture: 1988, Soil survey maps, The Council of Agriculture, Executive Yuan, Taiwan, R.O.C.
Waren, V. J., Gary, L. L. and John, W. K.: 1989, Introduction to Hydrology, 3rd edn, Harper and Row, Bureau of Soil and Water Conservation, Taiwan Province.
Yu, P. S.: 1990, Real-time grid based distributed rainfall-runoff model for flood forecasting with weather radar, PhD Thesis, Dept. of Civil Eng., Univ. of Birmingham, U.K.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
YU, PS., JENG, YC. A Study on Grid Based Distributed Rainfall Runoff Models. Water Resources Management 11, 83–99 (1997). https://doi.org/10.1023/A:1007908216885
Issue Date:
DOI: https://doi.org/10.1023/A:1007908216885