An artificial neural network (ANN) is a flexible mathematical structur
e which is capable of identifying complex nonlinear relationships betw
een input and output data sets. ANN models have been found useful and
efficient, particularly in problems for which the characteristics of t
he processes are difficult to describe using physical equations. This
study presents a new procedure (entitled linear least squares simplex,
or LLSSIM) for identifying the structure and parameters of three-laye
r feed forward ANN models and demonstrates the potential of such model
s for simulating the nonlinear hydrologic behavior of watersheds. The
nonlinear ANN model approach is shown to provide a better representati
on of the rainfall-runoff relationship of the medium-size Leaf River b
asin near Collins, Mississippi, than the linear ARMAX (autoregressive
moving average with exogenous inputs) time series approach or the conc
eptual SAC-SMA (Sacramento soil moisture accounting) model. Because th
e ANN approach presented here does not provide models that have Physic
ally realistic components and parameters, it is by no means a substitu
te for conceptual watershed modeling. However, the ANN approach does p
rovide a viable and effective alternative to the ARMAX time series app
roach for developing input-output simulation and forecasting models in
situations that do not require modeling of the internal structure of
the watershed.