• Title/Summary/Keyword: Penman equation

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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)

  • Lee, Khil-Ha;Cho, Hong-Yeon;Oh, Nam-Sun
    • Journal of Korea Water Resources Association
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    • v.41 no.4
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    • pp.413-422
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    • 2008
  • 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.

Parameter estimation of Hargreaves equation through a comparison of complementary relationship with PET from the Penman-Monteith equation (Penman-Monteith 잠재증발산과의 보완관계 비교검증을 통한 Hargreaves식의 매개변수 추정)

  • Kim, Jihoon;Kang, Boosik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.225-225
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    • 2016
  • 잠재증발량에 대한 많은 경험식들이 제시되어 있지만 각각의 방식에 대한 국내의 적용성에 대하여 구체적으로 비교검토된 사례는 매우 제한적이다. 널리사용되고 있는 Hargreaves식은 비교적 단순한 형태를 지니고 있으나 대기수분량을 계산에 반영치 못하는 한계를 지니고 있다. 본 연구에서는 남한 내 다목적 댐 유역의 1973-2014년 기상자료를 바탕으로 Penman-Monteith (P-M) 식과 Hargreaves식을 통해 계산한 잠재증발산량($ET_{PM}$, $ET_{Harg}$)의 비교를 통해, Bouchet (1963)의 보완 관계 관점에서 $ET_{Harg}$$ET_{PM}$에 비해 과다 산정되는 경향이 있음을 확인하였다. 이에, 1973-2004년에 대한 각 댐 유역의 기상관측소 단위별로 산정된 $ET_{PM}$을 상대적인 정해로 간주하여 Hargreaves식의 매개변수를 추정하였다. 추정된 매개변수는 동일 관측소의 2005-2014년 기상자료와 함께 Hargreaves식에 적용 후, 다목적 댐 유역별 $ET_{PM}$$ET_{Harg}$을 산정하여 검정을 수행하였다. 수행 결과, Hargreaves 식의 매개변수 조정 전 $ET_{PM}$과의 Nash-Sutcliffe 일치계수는 0.47-0.79 (1973-2004), 0.28-0.76 (2005-2014)이었고, RMS 오차는 17.79-25.85 (1973-2004), 18.24-27.40 (2005년-2014년)이었으나, 매개변수 조정 후 Nash-Sutcliffe 일치계수는 0.96-0.98 (1973-2004), 0.95-0.98 (2005-2014)로, RMS 오차는 5.78-7.11 (1973-2004), 4.97-6.95 (2005-2014)로 조정 전 보다 향상된 결과를 보였다.

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Parameter Regionalization of Hargreaves Equation Based on Climatological Characteristics in Korea (우리나라 기후특성을 고려한 Hargreaves 공식의 매개변수 지역화)

  • Moon, Jang Won;Jung, Chung Gil;Lee, Dong Ryul
    • Journal of Korea Water Resources Association
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    • v.46 no.9
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    • pp.933-946
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    • 2013
  • The quantitative analysis of evapotranspiration (ET) is a key component in hydrological studies and the establishment of water resources planning. Generally, the quantitative analysis of ET is performed by the estimation method of potential or reference ET based on meteorological factors such as air temperature, wind speed, etc. Hargreaves equation is one of empirical methods for reference ET using air temperature data. In this study, in order to estimate more exact reference ET considering climatological characteristics in Korea, parameter regionalization of Hargreaves equation is carried out. Firstly, modified Hargreaves equation is presented after the analysis of the relationship between solar radiation and temperature. Secondly, parameter ($K_{ET}$) optimization of Hargreaves equation is performed using Penman-Monteith method and modified equation at 71 weather stations. Lastly, the equation for calculating $K_{ET}$ using temperature data is proposed and verified. As a result, reference ET from original Hargreaves equation is overestimated or underestimated compared with Penman-Monteith method. But modified equation in this study is more accurate in the climatic conditions of Korea. In addition, the applicability of the equation between $K_{ET}$ and temperature is confirmed.

Transpiration Prediction of Sweet Peppers Hydroponically-grown in Soilless Culture via Artificial Neural Network Using Environmental Factors in Greenhouse (온실의 환경요인을 이용한 인공신경망 기반 수경 재배 파프리카의 증산량 추정)

  • Nam, Du Sung;Lee, Joon Woo;Moon, Tae Won;Son, Jung Eek
    • Journal of Bio-Environment Control
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    • v.26 no.4
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    • pp.411-417
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    • 2017
  • Environmental and growth factors such as light intensity, vapor pressure deficit, and leaf area index are important variables that can change the transpiration rate of plants. The objective of this study was to compare the transpiration rates estimated by modified Penman-Monteith model and artificial neural network. The transpiration rate of paprika (Capsicum annuum L. cv. Fiesta) was obtained by using the change in substrate weight measured by load cells. Radiation, temperature, relative humidity, and substrate weight were collected every min for 2 months. Since the transpiration rate cannot be accurately estimated with linear equations, a modified Penman-Monteith equation using compensated radiation (Shin et al., 2014) was used. On the other hand, ANN was applied to estimating the transpiration rate. For this purpose, an ANN composed of an input layer using radiation, temperature, relative humidity, leaf area index, and time as input factors and five hidden layers was constructed. The number of perceptons in each hidden layer was 512, which showed the highest accuracy. As a result of validation, $R^2$ values of the modified model and ANN were 0.82 and 0.94, respectively. Therefore, it is concluded that the ANN can estimate the transpiration rate more accurately than the modified model and can be applied to the efficient irrigation strategy in soilless cultures.

Assessment of MODIS Leaf Area Index (LAI) Influence on the Penman-Monteith Evapotranspiration Estimation of SLURP Model (MODIS 위성영상으로부터 추출된 엽면적지수(LAI)가 SLURP 모형의 Penman-Monteith 증발산량 추정에 미치는 영향 평가)

  • Ha, Rim;Shin, Hyung-Jin;Hong, Woo-Yong;Kim, Seong-Joon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1087-1091
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    • 2008
  • Evapotranspiration (ET) is an important factor while simulating daily streamflow in hydrological models. The LAI (Leaf Area Index) value reflecting the conditions of vegetation generally affects considerably in the estimation of ET, for example, when using FAO Penman Monteith equation. Recently in evaluating the vegetation condition as a fixed quantity, the remotely sensed LAIs from MODIS satellite data are avaliable, and the time series values of spatial LAI coupled with land use classes are utilized for ET evaluation. The 4 years (2001-2004) MODIS LAI data were prepared for the evaluation of continuous hydrological model, SLURP (Semi-distributed Land Use-based Runoff Processes). The model was applied for simulating the dam inflow of Chungjudam watershed ($6661.58\;km^2$) located in the upstream of Han river basin of South Korea. From the model results, the FAO Penman Monteith ET was affected by the MODIS LAIs. Especially for the ET of deciduous forest, the Total ET was 33.9 % lager than coniferous forest for the 3.8 % lager of LAI. The watershed average LAI caused a 7.0 % decrease in average soil moisture of the watershed and 14.3 % decrease of ground water recharge.

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Estimation of the Reference Evapotranspiration using Daily Sunshine Hour (일조시간을 이용한 기준 증발산량 추정)

  • Lee, Khil-Ha;Cho, Hongyeon
    • Journal of Environmental Impact Assessment
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    • v.20 no.5
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    • pp.627-640
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    • 2011
  • 이 논문에서는 일사량과 일조시간에 관한 통상적인 선형관계식보다 정확한 비선형 관계식에 대한 적용검토를 수행한다. 일조시간을 이용한 일사량 추정에 이어서 Penman-Monteith 방정식을 이용하여 기준 증발산량을 추정하였다. 우리나라 20개 지점의 1997년부터 2006년까지의 일사량 및 일조시간 자료를 포함한 기상자료를 이용하여 선형 그리고 수정 비선형 Angstrom 방정식을 보정하고 기준 증발산량을 추정하였다. 일조시간과 일사량 사이의 선형과 비선형 관계식을 이용한 기준 증발산량의 상대비교를 수행하였다. 선형 및 비선형 관계식을 이용한 방법 모두 RMS 오차는 5.96, NSC(Nash-Sutcliffe Coefficient)는 0.95로 추정되었고, 그 차이는 매우 미미하였다. 그러나 상대적으로 일사량이 기준 증발산량에 크게 기여하는 하계에는 그 차이가 증가하기 때문에 보다 개선된 비선형 관계식을 이용하는 방법에 대한 엄밀한 검토가 필요하다.

Determination of a New Method for the Upland Water Requirements (새로운 밭용수 수요량 추정기법 정립)

  • 김현영;서영제;심문산
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1999.10c
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    • pp.41-46
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    • 1999
  • In the practice , ET was mainly estimated by Blaney-Criddle or FAO Penman method. But these methods were found to frequently overestimate ET. And calculation of effective rainfall by empirical formula is hardly to explain drop property and soil texture. Since 1990, FAO recommended the adoption of Penman-Moneteith combination method as a new standard for reference ET. Purpose of this study is establish new estimate method of upland crop requirements. We asopt P-M method to estimate ET and set up soil moisture balance equation to equation to calculate effective rainfall and irrigation water requirements. We expect that this new method rise efficiency to upland water management.

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Assessment of MODIS Leaf Area Index (LAI) Influence on the Penman-Monteith Evapotranspiration of SLURP Model (MODIS 위성영상으로부터 추출된 엽면적지수(LAI)가 SLURP 모형의 Penman-Monteith 증발산량에 미치는 영향 평가)

  • HA, Rim;SHIN, Hyung-Jin;Park, Geun-Ae;KIM, Seong-Joon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.5B
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    • pp.495-504
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    • 2008
  • Evapotranspiration (ET) is an important state variable while simulating daily streamflow in hydrological models. In the estimation of ET, for example, when using FAO Penman Monteith equation, the LAI (Leaf Area Index) value reflecting the conditions of vegetation generally affects considerably. Recently in evaluating the vegetation condition as a fixed quantity, the remotely sensed LAI from MODIS satellite data is available, and the time series values of spatial LAI coupled with land use classes are utilized for ET evaluation. Four years (2001-2004) of MODIS LAI was prepared for the evaluation of Penman Monteith ET in the continuous hydrological model, SLURP (Semi-distributed Land Use-based Runoff Processes). The model was applied for simulating the dam inflow of Chungju watershed ($6661.3km^2$) located in the upstream of Han river basin. For four years (2001-2004) dam inflow data and meteorological data, the model was calibrated and verified using MODIS LAI data. The average Nash-Sutcliffe model efficiency was 0.66. The 4 years watershed average Penman Monteith ETs of deciduous, coniferous, and mixed forest were 639.1, 422.4, and 631.6 mm for average MODIS LAI values of 3.64, 3.50, and 3.63 respectively.

Comparison of Evapotranspiration Estimation Approaches Considering Grass Reference Crop (증발산 산정 방법들의 비교 - 잔디기준작물을 중심으로)

  • Rim, Chang-Soo
    • Journal of Korea Water Resources Association
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    • v.41 no.2
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    • pp.212-228
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    • 2008
  • Five representative reference evapotranspiration(RET) equations were selected, and these equations were compared with pan evaporation by correlation analysis. Pan coefficients were also estimated. Furthermore, five selected RET equations were compared to find the similarity among those at the 21 meteorological stations located in South Korea. Five RET equations selected from 4 different category were Penman(combination approach), FAO Penman-Monteith(FAO P-M) (single source approach), Makkink and Priestley-Taylor (radiation approach) and Hargreaves(temperature approach) equations. In this study, the geographical and topographical conditions were considered for the selection of study stations. The daily meteorological data measured from 1970 at an interval of 5 years were applied in this study. The evapotranspiration estimates obtained by applying evapotranspiration equations were evaluated with numerical and graphical methods. The correlation coefficients between pan evaporation and RET in study stations were above 0.9 indicating very high correlation; however, the slopes of the individual regression lines show the values greater or less than 1.0. Hargreaves equation(temperature approach) shows the most similar evapotranspiration estimates to those of FAO P-M equation from 12 study stations, which are located near to seashore except Daegu station. On the other hand, Priestley-Taylor equation(radiation approach) shows the most similar evapotranspiration estimates to those of FAO P-M equation from 8 study stations, which are located in inland.