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Stochastic Integral Equations and RainfallRunoff Models,Used
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The subject of rainfallrunoff modeling involves a wide spectrum of topics. Fundamental to each topic is the problem of accurately computing runoff at a point given rainfall data at another point. The fact that there is currently no one universally accepted approach to computing runoff, given rainfall data, indicates that a purely deter ministic solution to the problem has not yet been found. The technology employed in the modern rainfallrunoff models has evolved substantially over the last two decades, with computer models becoming increasingly more complex in their detail of describing the hydrologic and hydraulic processes which occur in the catchment. But despite the advances in including this additional detail, the level of error in runoff estimates (given rainfall) does not seem to be significantly changed with increasing model complexity; in fact it is not uncommon for the model's level of accuracy to deteriorate with increasing complexity. In a latter section of this chapter, a literature review of the stateoftheart in rainfallrunoff modeling is compiled which includes many of the concerns noted by rainfallrunoff modelers. The review indicates that there is still no deterministic solution to the rainfallrunoff modeling problem, and that the error in runoff estimates produced from rainfallrunoff models is of such magnitude that they should not be simply ignored.
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