FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data

Hargreaves equation (HG), which lacks a wind speed (u2) term, was modified, through a linear regression calibration method, into LHGu which has u2 terms. LHGu is effectively a simplified method for approximating FAO-56 Penman-Monteith equation (FPM) daily reference evapotranspiration (ETo) in tropic...

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Main Author: Eric Kra
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:International Journal of Agronomy
Online Access:http://dx.doi.org/10.1155/2014/402809
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spelling doaj-c7304712d69342dd8768d32118073b0d2020-11-24T22:46:43ZengHindawi LimitedInternational Journal of Agronomy1687-81591687-81672014-01-01201410.1155/2014/402809402809FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited DataEric Kra0Agricultural Engineering Department, University of Ghana, P.O. Box LG77, Legon, GhanaHargreaves equation (HG), which lacks a wind speed (u2) term, was modified, through a linear regression calibration method, into LHGu which has u2 terms. LHGu is effectively a simplified method for approximating FAO-56 Penman-Monteith equation (FPM) daily reference evapotranspiration (ETo) in tropics with only temperature data. In LHGu, the “0.0023” constant term in HG was calibrated as a shifted power function of u2, and the calibration constant was parametrized as a quadratic function of u2. LHGu was developed using simulated constant u2 data and historical temperature data for four sites in West Africa: Abidjan, Accra, Daloa, and Lome. LHGu matched FPM ETo better than HG over a wide range of u2: for Accra, for u2 range 0.5–6.0 m/s, the modified coefficient of efficiency, E1, varied narrowly (0.83–0.98) for LHGu but widely (0.14–0.95) for HG optimized for u2=2.0 m/s; the corresponding MBE ranges were −0.05–0.01 mm/d for LHGu and 0.02–0.63 mm/d for HG which cannot respond to varying daily u2. LHGu is useful for quickly computing practically accurate estimates of FPM ETo for varying daily u2 where only temperature data are available.http://dx.doi.org/10.1155/2014/402809
collection DOAJ
language English
format Article
sources DOAJ
author Eric Kra
spellingShingle Eric Kra
FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data
International Journal of Agronomy
author_facet Eric Kra
author_sort Eric Kra
title FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data
title_short FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data
title_full FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data
title_fullStr FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data
title_full_unstemmed FAO-56 Penman-Monteith Daily ETo from Linear Regression Calibrated Hargreaves Equation with Wind Terms in Tropics with Limited Data
title_sort fao-56 penman-monteith daily eto from linear regression calibrated hargreaves equation with wind terms in tropics with limited data
publisher Hindawi Limited
series International Journal of Agronomy
issn 1687-8159
1687-8167
publishDate 2014-01-01
description Hargreaves equation (HG), which lacks a wind speed (u2) term, was modified, through a linear regression calibration method, into LHGu which has u2 terms. LHGu is effectively a simplified method for approximating FAO-56 Penman-Monteith equation (FPM) daily reference evapotranspiration (ETo) in tropics with only temperature data. In LHGu, the “0.0023” constant term in HG was calibrated as a shifted power function of u2, and the calibration constant was parametrized as a quadratic function of u2. LHGu was developed using simulated constant u2 data and historical temperature data for four sites in West Africa: Abidjan, Accra, Daloa, and Lome. LHGu matched FPM ETo better than HG over a wide range of u2: for Accra, for u2 range 0.5–6.0 m/s, the modified coefficient of efficiency, E1, varied narrowly (0.83–0.98) for LHGu but widely (0.14–0.95) for HG optimized for u2=2.0 m/s; the corresponding MBE ranges were −0.05–0.01 mm/d for LHGu and 0.02–0.63 mm/d for HG which cannot respond to varying daily u2. LHGu is useful for quickly computing practically accurate estimates of FPM ETo for varying daily u2 where only temperature data are available.
url http://dx.doi.org/10.1155/2014/402809
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