Tv. Hromadka et Rj. Whitley, APPROXIMATING RAINFALL-RUNOFF MODELING RESPONSE USING A STOCHASTIC INTEGRAL-EQUATION, Hydrological processes, 10(7), 1996, pp. 1003-1019
Rainfall-runoff modelling uncertainty can be analysed by the use of a
stochastic integral formulation. The stochastic integral equation can
be based on the rainfall-runoff model input of model rainfall or model
rainfall excess. Similarly, the stochastic integral equation can be b
ased on the rainfall-runoff model output of the modelled runoff hydrog
raph. The residual between actual measured runoff data and modelled ru
noff (from the rainfall-runoff model) is analysed here by the use of a
stochastic integral equation. This approach is used to develop a set
of convolution integral transfer function realizations that represent
the chosen rainfall-runoff modelling error. The resulting stochastic i
ntegral component is a distribution of possible residual outcomes that
may be directly added to the rainfall-runoff model's deterministic ou
tcome, to develop a distribution of probable runoff hydrograph realiza
tions from the chosen rainfall-runoff model.