Journal of Korea Water Resources Association (한국수자원학회논문집)

Korea Water Resources Association (한국수자원학회)
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Calibration and Validation of the Hargreaves Equation for the Reference Evapotranspiration Estimation in Gyeonggi Bay Watershed

경기만 유역의 기준 증발산량 산정을 위한 Hargreaves 공식의 보정 및 검정

  • 이길하 (한국해양연구원 연안개발연구본부) ;
  • 조홍연 (한국해양연구원 연안개발연구본부) ;
  • 오남선 (목포해양대학교 해양시스템공학부)
  • Published : 2008.04.30
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Abstract

It is essential to locally adjust the Hargreaves parameter for estimating reference evapotranspiration with short data as a substitute of Penman-Monteith equation. In this study, evaluation of daily-based reference evapotranspiration is computed with Hargreaves equation. in Gyeonggi bay area including Ganghwa, Incheon, Suwon, Seosan, and Cheonan station for the time period of 1997-2004. Hargreaves coefficient is adjusted to give the best fit with Penman-Monteith evapotranspiration, being regarded as a reference. Then, the preferred parameters are validated for the same stations for the time period of 2005-2006. The optimization-based correction in calibration for 1997-2004 shows improved performance of the Hargreaves equation, giving 0.68-0.77 to 0.92-0.98 in Nash-Sutcliffe coefficient of efficiency (NSC) and 14.63-23.30 to 5.23-11.75 in RMSE. The validation for 2005-2006 shows improved performance of the Hargreaves equation, giving 0.43-0.85 to 0.93-0.97 in NSC and 14.43-26.81 to 6.48-9.09 in RMSE.

기상자료가 부족하거나 결측 지역의 기준 증발산량 산정을 위하여 Penman-Monteith (PM) 공식을 이용한 Hargreaves 공식의 매개변수 추정을 수행할 필요가 있다. 본 연구에서는 경기만 유역에 위치한 강화, 인천, 수원, 서산, 천안의 1997년$\sim$2004년 기상자료를 바탕으로 PM 공식을 이용하여 계산한 기준 증발산량(이하 ETo)을 이용하여 Hargreaves 공식의 매개변수를 추정하였으며, 추정된 매개변수를 이용하여 2005년$\sim$2006년의 PM 공식을 이용한 ETo 결과와 비교하여 검정을 수행하였다. 그 결과, 매개변수 조정 전 RMS 오차는 $14.63{\sim}23.30$ 정도로 파악되었으며, 모형의 검정에서도 $14.43{\sim}26.81$ 정도로 유사한 범위를 보이고 있다. 한편, Nash-Sutcliffe 일치계수는 $0.68{\sim}0.77$이며, 검정과정에서는 $0.43{\sim}0.85$로 대부분의 지역이 추정효율이 아주 떨어지는 것으로 나타났다. 반면, Hargreaves 계수를 조정한 경우, RMS 오차는 $5.23{\sim}11.75$ 정도로 파악되었으며, 모형의 검정에서도 $6.48{\sim}9.09$정도로 매개변수 조정전에 비하여 크게 감소하고 있음을 알 수 있으며, 한편, NSC는 $0.92{\sim}0.98$이며, 검정과정에서는 $0.93{\sim}0.97$로 대부분의 지역에서 추정효율이 크게 향상되는 것으로 나타났다.

Keywords

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