Journal of environmental and Sanitary engineering (환경위생공학)

Korean Society for Environmental Sanitary Engineers (대한환경위생공학회)
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Development of Rating Curves Using a Maximum Likelihood Model

최우도 모형을 이용한 수위-유량곡선식 개발

  • Kim, Gyeong-Hoon (Department of Civil Engineering, Gyeongsang National University) ;
  • Park, Jun-Il (Department of Civil Engineering, Gyeongsang National University) ;
  • Shin, Chan-Ki (Nakdong River Environment Research Center National Institute of Environmental Research)
  • 김경훈 (국립경상대학교 토목공학과) ;
  • 박준일 (국립경상대학교 토목공학과) ;
  • 신찬기 (국립환경과학원 낙동강물환경연구소)
  • Published : 2008.12.31
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Abstract

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.

Keywords

References

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