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KMID : 1171820080230040083
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Journal of Environmental and Sanitary Engineering
2008 Volume.23 No. 4 p.83 ~ p.93
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Development of Rating Curves Using a Maximum Likelihood Model
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Kim Gyeong-Hoon
Park Jun-Il
Shin Chan-Ki
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Abstract
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The non-linear least squares model((NLSM) has long been the standard technique used by hydrologists for constructing rating curves. The reasons for its adaptation are vague, and its appropriateness as a method of describing discharge measurement uncertainty has not been well investigated. It is shown in this paper that the classical method of NLSM can model only a very limited class of variance heterogeneity. Furthermore, this lack of flexibility often leads to unaccounted heteroscedasticity, resulting in dubious values for the rating curve parameters and estimated discharge. By introducing a heteroscedastic maximum likelihood model(HMLM), the variance heterogeneity is treated more generally. The maximum likelihood model stabilises the variance better than the NLSM approach, and thus is a more robust and appropriate way to fit a rating curve to a set of discharge measurements.
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KEYWORD
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Rating curve, Heteroscedasticity, Non-linear least square model, Maximum likelihood model
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