Browse > Article
http://dx.doi.org/10.3741/JKWRA.2008.41.1.017

An Application of a New Two-Way Regression Model for Rating Curves  

Lee, Chang-Hae (Dept. of Environmental Engineering, Daejin University)
Publication Information
Journal of Korea Water Resources Association / v.41, no.1, 2008 , pp. 17-25 More about this Journal
Abstract
Whether rating curves are used in practice or new ones are derived, the characteristics of regression analysis are often neglected. For example, a discharge rating curve, which is established from a regression of observed water levels (H) on observed flowrates(Q), is sometimes used for estimating a design water level corresponding to a simulated design flood runoff. However, if independent and dependent variables are changed with each other, the regression equation is changed in existing regression analysis, which is derived from vertical errors between observed data and regression line. Thus, regression equations should not be applied inversely. To avoid this problem, A new two-way variable least-squares regression analysis is proposed. The new method was applied to the rating curves of five water level stations on main stream of Nakdong River. The three kinds of regression models, which are respectively regression of Q versus H (model 1), H versus Q (model 2) and two-way (model 3), showed that the new method can reduce inadvertent mistakes when applied in practice.
Keywords
Regression model; rating curve; Excel VBA;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 건설교통부 (2007). 한국수문조사연보(유량편) 2006
2 Carnahan, B., Luther, H.A. and Wilkes, J.O. (1969). Applied Numerical Methods. Wiley
3 Chapra, S.C. and Canale, R.P. (1998). Numerical Methods for Engineers: with Programming and Software Application, 3rd ed. McGraw-Hill, pp. 330-565
4 Draper, N.R. and Smith, H. (1981). Applied Regression Analysis, 2nd ed. Wiley
5 Gerald, C.F. and Wheatley, P.O. (1989). Applied Numerical Analysis, 4th ed. Addison-Wesley
6 박재영, 오병동, 김재복, 채효석 (2006). '신개념의 수위-유량곡선식 개발과 적용 방향.' 한국수자원학회 06 학술발표회 논문집, 한국수자원학회, pp. 144-148
7 이우석, 이길성 (2002). '비선형 회귀모형에서 가중최소제곱법에 의한 수위-유량곡선식 개발.' 한국수자원학회 02 학술발표회 논문집(I), 한국수자원학회, pp. 541-546
8 이종혁 (1999). Microsoft 한글 엑셀 2000 Bible. 정보문화사
9 정영진 (1982). 실용현대통계학. 선진문화사, pp. 44-66
10 Orvis, W.J. (1996). Excel for Scientists and Engineers, 2nd ed. Sybex
11 Ralston, A. and Rabinowitz, P. (1978). A First Course in Numerical Analysis, 2nd ed. McGraw-Hill
12 박성현 (1998). 회귀분석(제3판). 민영사
13 김두섭, 강남준 (2000). 회귀분석 기초와 응용. 나남출판사
14 김삼은, 강규상, 정찬용, 임혁진, 김형섭, 정성원 (2007). '2006년도 낙동강본류 5개 지점 수위-유량관계곡선식 검증.' 한국수자원학회 07 학술발표회 논문집, 한국수자원학회, pp. 1814-1818
15 노재경, 이우석, 이한구 (2000). '수위-유량 관계식의 예민도 분석.' 한국수자원학회 2000년 학술발표회 논문집, 한국수자원학회, pp. 112-117   과학기술학회마을