Abstract
Here we review the main thrusts of rainfall-runoff modelling with an eye toward the advantageous use of the massive date sets being accumulated and the modern computers capable of dealing effectively with such sets.
More than a tutorial, this study is aimed at providing a unifying structure for analyzing available techniques. The closing section draws attention to the existence of an alternative methodology.
Similar content being viewed by others
References
Amorocho, J. 1967: The nonlinear prediction problem in the study of the runoff cycle. Water Resour. Res. 3 861–874
Amorocho, J.; Brandstetter, A. 1971: Determination of nonlinear functional in rainfall-runoff process. Water Resour. Res. 7 1087–1101
Anderson, B.D.; Moore, J.B. 1979: Optimal filtering. New Jersey: Prentice-Hall
Bras, R.; Rodriguez-Iturbe, I. 1985: Random functions and hydrology. Reading, Mass.: Addison Wesley
Chander, S.; Shanker, H. 1984: Unit hydrograph based forecast model. J. Hydrological Sciences 29, 279–291
Clark, R.T. 1973: A review of some mathematical models used in hydrology, with observations on their calibration and use. J. Hydrology 19, 1–20
Cooper, D.M.; Wood, E.W. 1982a: Identification on multivariate time series and multivariate inputoutput models. Water Resour. Res. 18 937–946
Cooper, D.M.; Wood, E.W. 1982b: Parameter estimation of multiple input-output time series models. Water Resour. Res. 18 1352–1364
Diskin, M.H.; Boneh, A. 1973: Determination of optimal Kernels for second-order stationary surface runoff systems. Water Resour. Res. 9, 111–126
Dooge J. 1959: A general theory of the unit hydrograph. J. Geophysical Res. 64, 241–256
Eagleson, P.S.; Mejia-R, R.; March, R. 1966: Computation of optimal realizable unit hydrograph. Water Resour Res 2, 755–765
Freeze, R.A. 1982: Hydrogeological concepts in stochastic and deterministic rainfall-runoff predictions. Special paper 189, Geological Society of America
Hino, M. 1970: Runoff forecasts by linear predictive filter. J. Hydraulics Division. Proc. Am. Soc. of Civil Engineers, HY3, 681–707
Jacoby, S.L.S. 1966: A mathematical model for nonlinear hydrologic systems. J. Geophysical Res. 71, 4811–4824
Karlsson, M.; Yakowitz, S. 1987: Nearest-neighbor methods for non-parametric rainfall-runoff forecasting. Water Resour. Res. 27, 1300–1308
Kashyap, R.L.; Rao, A.R. 1973: Real time recursive prediction of river flows. Automatica 9, 175–183
Kitanidis, P.K.; Bras, R.L. 1980: Real time forecasting with a conceptual hydrologic model. Water Resour. Res. 16, 1025–1033
Klemes, V.; Boruvka, L. 1975: Output from a cascade of discrete linear reservoirs. J. Hydrology 27, 1–13
Lawson, C.; Hanson, R. 1974: Solving least squares problems. New Jersey: Prentice-Hall
Linsley, R.K.; Kohler, M.A.; Paulhus, J.L.H. 1982: Hydrology for engineers. New York: McGraw-Hill (2nd edition)
Ljung, L.; Soderstrom, T. 1983: Theory and practice of recursive identification. Cambridge, Mass.: The MIT Press
Minsall, N.E. 1960: Predicting storm runoff on small experimental watersheds. ASCE J. Hydraulics Division 86, 12–58
Napiorkowski, J.J.; Strupczewski, W.G. 1981: The properties of the Kernels of the Volterra series describing flow deviations from a steady state in an open channel. J. Hydrology 51, 185–199
Nash, J.E. 1959: Systematic determination of unit hydrograph parameters. J. Geophysical Res. 64, 111–115
O'Connell, P.E.; Clarke, R.T. 1981: Adaptive hydrological forecasting—A review. Hydrological Sciences Bulletin 26, 179–205
Patry, G.G.; Marino, M. 1982: Parameter identification of time varying noisy difference equations for real-time urban runoff forecasting. J. Hydrology 62, 25–55
Patry, G.G.; Marino, M. 1983a: Time-variant nonlinear functional runoff model for real-time forecasting. J. Hydrology 66, 227–244
Patry, G.G.; Marino, M. 1983b: Nonlinear runoff modeling: parameter identification. J. Hydraulic Engineering 109, 865–880
Paynter, H.H. 1952: Methods and results from MIT studies in unsteady flow. J. Boston Society of Civil Engineers 39, 120–165
Priestly, M.B. 1981. Spectral analysis and time series. Reading, Mass.: Academic Press
Rao, S.; Rao, R. 1984: Nonlinear stochastic model of rainfall runoff process. Water Resour. Res. 20, 297–309
Rodriquez-Iturbe, I.; Sanabria, M.G.; Caamano, G. 1982: On the climatic dependence of the IUH: A rainfall-runoff analysis of the Nash model and the geomorphoclimatic theory. Water Resour. Res. 18, 887–903
Sherman, L.K. 1932: Streamflow from rainfall by unit-graph method. Engineering New Record, 501–505
Shibata, R. 1984: Approximate efficiency of a selection procedure for the number of regression variables. Biometrica 71, 43–49
Sorooshian, S. 1983: Surface water hydrology: On-line estimation. Reviews of Geophysics and Space Physics 21, 706–721
Stone, C. 1980: Optimal rates of convergence for nonparametric estimators. Ann. Stat. 8, 1348–1360
Todini, E. 1978: Using a desk-top computer for an on-line flood warning system. IBM J. Res. Develop. 22, 464–471
Wiener, N. 1958: Nonlinear problems in random theory. Cambridge: The MIT press
Yakowitz, S. 1985a: Nonparametric density estimation, prediction and regression for Markov sequences. J. Amer. Stat. Assoc. 80, 215–221
Yakowitz, S. 1985b: Markov flow models and the flood warning problem. Water Resour. Res. 21, 81–88
Yakowitz, S. 1987: Nearest neighbor for time series analysis. J. Time Series Analysis 8, 235–247
Yakowitz, S.; Szidarovszky, F. 1986: An introduction to numerical computations. New York: Macmillan Publ. Co.
Yakowitz S.; Karlsson, M. 1987: Nearest neighbor methods for time series, with application to rainfall-runoff prediction. In: MacNeil, I.B.; Umphries G.J. eds.) Stochastic Hydrology, pp. 149–160, New York: D. Reidel.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Karlsson, M., Yakowitz, S. Rainfall-runoff forecasting methods, old and new. Stochastic Hydrol Hydraul 1, 303–318 (1987). https://doi.org/10.1007/BF01543102
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01543102