This article derives the unit pulse response functions (unit hydrographs (U
Hs)) for the quick and slow runoff components of streamflow (quick runoff:
direct or surface runoff; slow runoff: the sum of rapid subsurface, delayed
subsurface, and groundwater runoffs) using the model of three serial tanks
with a parallel tank. The interdependence between the tanks is described b
y exponential functions of the model's parameters. The parameters are ident
ified using the Simplex method. Ln comparison to traditional unit hydrograp
h (TUH) methods, the proposed UH method has the following advantages: (1) i
t can be used to separate quick and slow streamflow components; (2) it is a
ppropriate for forecasting streamflow hydrographs produced by various storm
s such as single-peak storms and multi-peak storms without resorting to cha
nging model's parameters; and (3) it does not require either an a priori ca
lculation of rainfall excess or baseflow separation for deriving the UH. Th
e TUH models such as the Sherman model and the Nash model with three cascad
e reservoirs are particular cases of the proposed model. The applicability
and validity of the proposed model are verified using observed rainfall-str
eamflow data from an actual basin. The resulting computed streamflows show
a good correspondence with observed ones. (C) 2000 Elsevier Science B.V. Al
l rights reserved.