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• W2004814365 abstract "Terms are defined that are frequently used (and misused) where mathematical models are applied to solve hydrological problems, and some of the many available models are classified into four main groups. It is suggested that models with parameters estimated by computing the minimum of a least-squares objective function represent an application of well-known non-linear regression theory to situations in which the assumptions commonly made in this theory are seldom valid. The correction required is not the use of objective functions other than those based on sums of squares, but the use of more realistic assumptions concerning the stochastic structure of the model residuals. Interdependence between model parameters necessitates extensive exploration of the sum-of-squares surface in the neighbourhood of its minimum even when regression assumptions are valid: this is particularly true where the model is to be used to examine the likely effects of a proposed physical change to the catchment, since the complexity of such a change will not generally be represented by a change in one (or even some) of the model's parameters, regardless of the remainder." @default.
• W2004814365 created "2016-06-24" @default.
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• W2004814365 date "1973-05-01" @default.
• W2004814365 modified "2023-10-16" @default.
• W2004814365 title "A review of some mathematical models used in hydrology, with observations on their calibration and use" @default.
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• W2004814365 doi "https://doi.org/10.1016/0022-1694(73)90089-9" @default.
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