MATHEMATICAL MODELING OF WATERSHED RESPONSE.
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abstract
General mathematical results are obtained for a system of cascades, each consisting of a number of linear reservoirs in series. For a watershed this system can be derived from its drainage network. Several popular hydrologic models can be shown to be special cases of the general results obtained here. These results are extended to two cases: when rainfall excess is input, and when rainfall, infiltration, evaporation and runoff are simultaneously considered.
