Evaluation of nine reference evapotranspiration models in Traghen region, Southwest of Libya

Authors

  • Ali Othman Alghusni Department of Soil and water, Faculty of Agriculture, Omar Al-Mukhtar University, Al-Bayda, Libya. Author

DOI:

https://doi.org/10.54172/

Keywords:

reference evapotranspiration, FAO Penman-Monteith, FAO Radiation, FAO Blaney-Criddle, Turc, Kharrufa

Abstract

This research was carried out to evaluate nine reference evapotranspiration, and find out an alternative models to the standard FAO Penman-Monteith model in Traghen region southwest of Libya. The models applied were standard FAO Penman-Monteith, FAO Radiation, FAO Blaney-Criddle, Hargreaves-Samani, Priestley-Taylor, Makkink, Turc, Thornthwaite, Kharrufa and McCloud.  The models were compared with the FAO Penman-Monteith model using root mean square error (RMSE) , mean bias error (MBE), Pearson type goodness of fit index (R2), refined index of agreement (dr), modeling efficiency (Ef) and t-test.  Results showed that FAO Radiation and FAO Blaney-Criddle models overestimated ETo by values ranged from 0.64% to 16.06%. However, Kharrufa and McCloud models overestimated ETo in some months and underestimated ETo in some other months.  Whereas, the other models underestimated ETo by values ranged from -86.69 % to -6.02%.  The FAO radiation model gave the highest dr (0.892) and Ef (0.951) values, and the lowest RMSE (0.534 mm/day), indicating that this model was the best alternative to the FAO Penman-Monteith model in the study region, followed by FAO Blaney-Criddle model with dr value of 0.851, Ef value of 0.878, and RMSE value of 0.845 mm/day.  In addition, FAO radiation model showed the second best R2 and MBE values at 0.993 and 0.473, respectively  Also, FAO Blaney-Criddle model showed the third best R2 value at 0.989.  Therefore, FAO radiation model is ranked the first and FAO Blaney-Criddle model is ranked the second.  According to the statistical measures stated above, Turc model ranked the third, Kharrufa model ranked forth.  Models of Hargreaves-Samani, Makkink, Priestley-Taylor, McCloud and Thornthwaite ranked fifth, sixth, seventh, eighth and ninth, respectively. T-test analysis at 5% level of significance indicated that there is a significant difference between the FAO Penman-Monteith model and all models except Kharrufa and McCloud models.

References

Abd El-Wahed, M. H. and T. A. Abd El-Mageed (2014). Estimating reference evapotranspiration using modified Blaney-Criddle equation in arid region. Bothalia Journal, 44(7):183-195.

ALkaeed, O.; C. Flores; K. Jinno and A. Tsu-tsumi (2006). Comparison of several ref-erence evapotranspiration methods for Ito-shima Peninsula area, Fukuoka, Japan. Memoirs of the Faculty of Engineering, Kyushu University, 66(1): 1-14.

Allen, R. G. and G. Z. Li (2016). Ref-ET us-er’s guide. Reference evapotranspiration calculation software for FAO and ASCE standardized equations; version 4.1 for Windows: University of Idaho, Kimberly Research and Extension Center ID, USA.

Allen, R. G.; L. S. Pereira; D. Raes and M. Smith (1998). Crop evapotranspiration: Guidelines for computing crop water re-quirements. FAO Irrigation and Drainage Paper No. 56, United Nation Food and Agriculture Organization, Rome, Italy, 300 pp.

Allen, R. G.; M. E. Jensen; J. L. Wright and R. D. Burman (1989). Operational estimates of reference evapotranspiration. Agronomy Journal, 81(4):650-662.

Amatya, D. M; R. W. Skaggs and J. D. Grego-ry (1995). Comparison of methods for es-timating REF-ET. Journal of Irrigation and Drainage Engineering, 121(6):427-435.

American Society of Civil Engineering-Environmental and Water Resources Insti-tute (ASCE-EWRI) (2005). ASCE Stand-ardised Reference Evapotranspiration Equation. Task Committee on Standardi-zation of calculation of Reference Evapo-transpiration. Environmental and Water Resources Institute (EWRI) of the Ameri-can Society of Civil Engineers, Final Re-port. Reston, VA,213pp.

Bakhtiari, B.; N. Ghahreman; A. M. Liaghat and G. Hoogenboom (2011). Evaluation of reference evapotranspiration methods for a semiarid environment using lysimeter measurements. Journal of Agricultural Sci-ence and Technology, 13:223-237.

Berti, A.; G. Tardivo; A. Chiaudani; F. Rech and M. Borin (2014). Assessing reference evapotranspiration by the Hargreaves method in north-eastern Italy. Agricultural Water Management, 140: 20-25.

Caporusso, N. B. and G. S. Rolim (2015). Reference evapotranspiration models using different time scales in the Jaboticabal re-gion of São Paulo, Brazil. Acta Scien-tiarum Agronomy, 37(1):1-9.

Chen, D.; G. Gao; C. Y. Xu; J. Guo and G. Ren (2005a). Comparison of the Thornthwaite method and pan data with the standard Penman–Monteith estimates of reference evapotranspiration in China. Climate Research, 28:123–132.

Chen, J.; H. Yeh; C. Lee and W. Lo (2005b). Optimal comparison of empirical equation for estimating potential evapotranspiration in Taiwan. IN: XXXI IAHR Congress. September 11-16, Seoul, Korea.

Córdova, M.; G. Carrillo-Rojas; P. Crespo; B. Wilcox and R. Célleri (2015). Evaluation of the Penman–Monteith (FAO 56 PM) method for calculating reference evapo-transpiration using limited data. Mountain Research and Development, 35(3):230-239.

DehghaniSanij, H.; T. Yamamoto and V. Ra-siah (2004). Assessment of evapotranspi-ration estimation models for use in semi-arid environments. Agricultural Water Management, 64: 91-106.

Djaman, K.; A. B. Balde; A. Sow; B. Muller; S. Irmak; M. K. N’Diaye; B. Manneh and K. Saito (2015). Evaluation of sixteen refer-ence evapotranspiration methods under Sahelian conditions in the Senegal River valley. Journal of Hydrology: Regional Studies, 3: 139-159.

Djaman, K.; K. Koudahe; M. Sall; I. Kabenge; D. Rudnick and S. Irmak (2017). Perfor-mance of twelve mass transfer based refer-ence evapotranspiration models under hu-mid climate. Journal of Water Resource and Protection, 9:1347-1363.

Doorenbos, J. and W. O. Pruitt (1977). Guide-lines for predicting crop water require-ments. FAO Irrigation and Drainage Paper No. 24. Food and Agriculture Organiza-tion of United Nations, Rome. pp.156.

Douglas, E. M.; J. M. Jacobs; D. M. Sumner and R. L. Ray (2009). A comparison of models for estimating potential evapotran-spiration for Florida land cover types. Journal of Hydrology, 373(3-4):366-376.

Droogers, P. and R. G. Allen (2002). Estimat-ing reference evapotranspiration under in-accurate data conditions. Irrigation and Drainage Systems, 16(1):33-45.

Fisher, D. K. and H. C. Pringle III (2013). Evaluation of alternative methods for es-timating reference evapotranspiration. Ag-ricultural Sciences, 4(8A): 51-60.

Gao, F.; G. Feng; Y. Ouyang; H. Wang; D. Fisher; A. Adeli and J. Jenkins (2017). Evaluation of reference evapotranspiration methods in arid, semiarid and humid re-gions. Journal of the American Water Re-sources Association, 53(4):791-808.

George, B. A.; B. R. S. Reddy; N. S. Raghuwanshi and W. W. Wallender (2002). Decision support system for esti-mating reference evapotranspiration. Jour-nal of Irrigation and Drainage Engineering, 128(1):1-10.

Ghamarnia, H.; F. Mousabeyg; S. Amiri and D. Amirkhani (2015). Evaluation of a few evapotranspiration models using lysimetric measurements in a semi-arid climate re-gion. International Journal of Plant and Soil Science 5(2): 100-109.

Hamon, W. R. (1961). Estimating potential evapotranspiration. Journal of the Hydrau-lics Division, ASCE, 87(HY3):107-120.

Hargreaves, G. H. and R. G. Allen (2003). History and evaluation of Hargreaves evapotranspiration equation. Journal of Ir-rigation and Drainage Engineering, 129 (1): 53–63.

Hargreaves, G. H. and Z. A. Samani (1985). Reference crop evapotranspiration from temperature. Applied Engineering in Agri-culture, 1(2):96-99.

Heydari, M. M.; R. N. Noushabadi; M. Vahedi; A. Abbasi and M. Heydari (2013). Com-parison of evapotranspiration models for estimating reference evapotranspiration in arid environment. Middle-East Journal of Scientific Research, 15: 1331-1337.

Irmak, S.; A. Irmak; R. G. Allen and J. W. Jones (2003a). Solar and net radiation-based equations to estimate reference evapotranspiration in humid climates. Journal of Irrigation and Drainage Engi-neering, 129(5):336-347.

Irmak, S.; R. G. Allen and E. B. Whitty (2003b). Daily grass and alfalfa-reference evapotranspiration estimates and alfalfa-to-grass evapotranspiration ratios in Flori-da. Journal of Irrigation and Drainage En-gineering, 129(5):360-370.

Irmak, S. ; A. Irmak; T. .A. Howell; D. L. Mar-tin; J. O. Payero and K. S. Copeland (2008). Variability analyzes of alfalfa-reference to grass reference evapotranspi-ration ratios in growing and dormant sea-sons. Journal of Irrigation and Drainage Engineering, 134(2): 147–159.

Itenfisu, D.; R. L. Elliott; R. G. Allen and I. A. Walter (2003). Comparison of reference evapotranspiration calculations as part of the ASCE standardization effort. Journal of Irrigation and Drainage Engineering, 129(6): 440-448.

Jacobs, J. M. and S. R. Satti (2001). Evalua-tion of reference evapotranspiration meth-odology and AFSIRS crop water use simulation model.

Final report, Department of Civil and Coastal Engineering, Univer-sity of Florida, Gainesville, Florida , For John M. Fitzgerald, Water Use Data Man-ager Division of Water Supply Manage-ment, St. Johns River Water Management District, Palatka, Florida, USA.

Jacovides, C. P. and H. Kontoyiannis (1995). Statistical procedures for the evaluation of evapotranspiration computing models. Ag-ricultural Water Management, 27(3–4):365–371.

Jensen, M. E., 1968. Water Consumption by Agricultural Plants. IN: Water deficits and plant growth, T.T. Kozlowski (Editor). Academic Press, New York, pp. 1-22.

Jensen, M. E.; R. D. Burman and R. G. Allen (1990). Evapotranspiration and irrigation water requirements. ASCE Manuals and Reports of Engineering Practice No. 70. New York.

Joshani, A.; J. K. Dastjerdi and H. Z. Abyaneh (2015). Evaluating different estimation methods of reference evapotranspiration with FAO evaporation pan in both dry and humid climate of Caspian sea basin. Bulle-tin of Environment, Pharmacology and Life Sciences, 4 (2) : 190-200.

Junior, R. O.; E. B. De Souza; A. L. Tavares; J. A. Mota; D. B. S. Ferreira; P. W. M. Sou-za-Filho and E. J. P. Da Rocha (2017). Three decades of reference evapotranspira-tion estimates for a tropical watershed in the eastern Amazon. Annals of the Brazili-an Academy of Sciences, 89(3):1985-2002.

Kharrufa, N. S. (1985). Simplified equation for evapotranspiration in arid regions. Beitr Hydrol, 5:39-47.

Kwon, H. and M. Choi (2011). Error assess-ment of climate variables for FAO-56 ref-erence evapotranspiration. Meteorology and Atmospheric Physics 112(1–2):81–90.

Legates, D. R. and G. J. McCabe (1999). Evaluating the use of “goodness−of−fit” measures in hydrologic and hydroclimatic model validation. Water Resources Re-search, 35(1): 233−241.

Liu, X. Y. and L. Erda (2005). Performance of the Priestley-Taylor equation in the semiar-id climate of north China. Agricultural Water Management, 71(1):1-17.

Loague, K. and R. E. Green (1991). Statistical and graphical methods for evaluating so-lute transport models: Overview and Ap-plication. Journal of Contaminant Hydrol-ogy, 7(1-2):51-73.

López-Urrea, R.; F. M. S. Olalla; C. Fabeiro and A. Moratalla (2006). Testing evapo-transpiration equations using lysimeter ob-servations in a semiarid climate. Agricul-tural Water Management, 85: 15-26.

Mahringer, W. (1970). Verdunstungsstudien am Neusiedler See. [Evaporation Studies at Lake Neusiedl.] Arch Met Geoph Bio-klSer , B, 18:1-20.

Makkink, G. F. (1957). Testing the Penman formula by means of lysimeters. Journal of the Institution of Water Engineering, 11(3):277-288.

Malek, E. and G. E. Bingham (1993). Compar-ison of the Bowen ratio-energy balance and the water balance methods for the Measurement of Evapotranspiration. Jour-nal of Hydrology, 146(1):209-220.

Martinez, C.J. and M. Thepadia (2010). Esti-mating Reference Evapotranspiration with Minimum Data in Florida, USA. Journal of Irrigation and Drainage Engineering, 136: 494-501.

McCloud, D. E. (1955). Water requirements of field crops in Florida as influenced by cli-mate. Proceedings Soil Science Society Florida, 15:165-172.

Mendonça, J. C.; E. F. Sousa; S. Bernardo; G. P. Dias and S. Grippa (2003). Comparison of different methods for estimating refer-ence evapotranspiration (ETo) in North Fluminense RJ region. (in Portuguese) Brazilian Journal of Agricultural and Envi-ronmental Engineering. 7(2):275-279.

Microsoft Office Excel (2007). Microsoft Cor-poration. Redmond, Washington.

Mohawesh, O. E. (2011). Evaluation of evapo-transpiration models for estimating daily reference evapotranspiration in arid and semiarid environments. Plant Soil and En-vironment, 57 (4):145–152.

Monteith, J. L. (1965). Evaporation and envi-ronment. 19th Symposia of the Society for Experimental Biology, 19:205-234. Uni-versity Press: Cambridge.

Najafi, M; M. Salarian; S. Eslamian; K. Ostad-Ali-Askari; V. P. Singh and N. R. Dalezios (2019). Evaluation of radiation methods for calculating the water requirement of grass in two different climates using REF-ET software. International Journal of Con-structive Research in Civil Engineering, 5(1): 1-7

Nandagiri, L. and G. R. Kovoor (2006). Per-formance evaluation of reference evapo-transpiration equations across a range of Indian climates. Journal of Irrigation and Drainage Engineering, 132(3): 238-249.

Nash, J. E. and J. V. Sutcliffe (1970). River flow forecasting through conceptual mod-els. Part I. A discussion of principles. Journal of. Hydrology, 10:282−290.

Oliveira, G. Q.; A. S. Lopes; L. H. Jung; P. L. Nagel and D. M. Bertioli (2011). Desem-penho de métodos de estimativa da evapo-transpiração de referência baseadas na temperatura do ar, em Aquidauana-MS. Revista Brasileira de Agricultura Irrigada 5(3):224-234.

Pandey, P. K.; P. P. Dabral and V. Pandey (2016). Evaluation of reference evapo-transpiration methods for the northeastern region of India. International Soil and Wa-ter Conservation Research, 4(1):52-63.

Penman, H. L. (1948). Natural evaporation from open water, bare soil, and grass. Pro-ceedings of the Royal Society of London, A193:120-146.

Pereira, L. S.; R. G. Allen; M. Smith and D. Raes (2015). Crop evapotranspiration es-timation with FAO56: Past and future. Agricultural Water Management 147: 4-20.

Popova, Z.; M. Kercheva and L. S. Pereira (2006). Validation of the FAO methodol-ogy for computing ETo with limited data. Application to south Bulgaria. Irrigation and Drainage, 215:201–215.

Priestley, C. H. B and R. J. Taylor (1972). On the assessment of surface heat flux and evaporation using large-scale parameters. Monthly Weather Review, 100(2): 81-92.

Raziei, T. and L. S. Pereira (2013). Estimation of ETo with Hargreaves-Samani and FAO-PM temperature methods for a wide range of climates in Iran. Agricultural Water Management, 121:1-18.

Razzaghi, F. and A. R. Sepaskhah (2010). As-sessment of nine different equations for ETo estimation using lysimeter data in a semiarid environment. Archives of Agron-omy and Soil Science, 56(1):1-12.

Rojas, J. P. and R. E. Sheffield (2013). Evalu-ation of daily reference evapotranspiration methods as compared with the ASCE-EWRI Penman–Monteith equation using limited weather data in northeast Louisi-ana. Irrigation and Drainage Engineering 139:285–292.

Romanenko, V. A. (1961). Computation of the autumn soil moisture using a universal rela-tionship for a large area. Proceedings Ukrainian Hydrometeorological Research Institute, No. 3 (Kiev).

Sabziparvar, A. A. and H. Tabari (2010). Re-gional estimation of reference evapotran-spiration in arid and semi-arid regions. Journal of Irrigation and Drainage Engi-neering. ASCE 136 (10), 724–731.

Sentelhas, P. C.; T. J. Gillespie and E. A. San-tos (2010). Evaluation of FAO Penman–Monteith and alternative methods for es-timating reference evapotranspiration with missing data in Southern Ontario, Canada. Agricultural Water Management, 97(5):635–644.

Sheikh, V. and M. Mohammadi (2013). Evalu-ation of reference evapotranspiration equa-tions in semi-arid regions of northeast of Iran. International Journal of Agriculture and Crop Sciences, 5 (5): 450-456.

Smith, M.; R. G. Allen; J. L. Monteith; L. S. Pereira; A. Perrier and W. O. Pruitt (1991). Report on the expert consultation on pro-cedures for revision of FAO guidelines for prediction of crop water requirements. Land and Water Development Division, United Nations Food and Agriculture Ser-vice: Rome.

Tabari, H. (2010). Evaluation of reference crop evapotranspiration equations in various climates. Water Resources Management, 24(10):2311–2337.

Tabari, H.; M. E. Grismer and S. Trajkovic (2013). Comparative analysis of 31 refer-ences evapotranspiration methods under humid conditions. Irrigation Science, 31: 107-117.

Thornthwaite, C. W. (1948). An approach to-wards a rational classification of climate. Geographical Review, 38:55-94.

Trabert, W. (1896). Neue Beobachtungenuber Verdampfungsgeschwindigkeiten.[New Observations on Evaporation Rates.] Me-teorologische Zeitschrift , 13, 261-263

Trajkovic, S. and S. Kolakovic (2009). Evalua-tion of reference evapotranspiration equa-tions under humid conditions. Water Re-sources Management, 23(14):3057-3067.

Turc, L. (1961). Estimation of irrigation water requirements, potential evapotranspiration: A simple climatic formula evolved up to date. Annales Agronomiques, 12(1): 13-49.

Willmott, C. J. (1981). On the validation of models. Physical Geography 2 : 184-194.

Willmott, C. J. (1982). Some comments on the evaluation of model performance. Bulletin of the American Meteorological Society, 63(11):1309-1313.

Willmott, C. J. (1984). On the evaluation of model performance in physical geography. IN: Spatial Statistics and Models, G. L. Gaile and C. J. Willmott (eds.). D. Reidel: Boston; 443–460.

Willmott, C. J.; S. M. Robeson and K. Matsuura (2012). A refined index of model performance. Short Communica-tion. International Journal of Climatology, 32:2088–2094.

Xavier, A. C.; C. W. King and B. R. Scanlon (2015). Daily gridded meteorological var-iables in Brazil (1980-2013). International Journal Climatology, 36: 2644-2659.

Xu, C. Y. and D. Chen (2005). Comparison of seven models for estimation of evapotran-spiration and groundwater recharge using lysimeter measurement data in Germany. Hydrological Processes, 19: 3717-3734.

Xu, J.; S. Peng; J. Ding; Q. Wei and Y. Yu (2013). Evaluation and calibration of sim-ple methods for daily reference evapotran-spiration estimation in humid East China. Archives of Agronomy and Soil Science, 59(6): 845-858.

Xystrakis, F. and A. Matzarakis (2011). Evalu-ation of 13 empirical reference potential evapotranspiration equations on the island of Crete in southern Greece. Journal of Ir-rigation and Drainage Engineer-ing,137(4):211–222.

Yoder, R. E.; L. O. Odhiambo and W. C. Wright (2005). Evaluation of methods for estimating daily reference crop evapotran-spiration at a site in the humid southeast United States. Applied Engineering in Ag-riculture, 21(2):197–202.

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Alghusni, A. O. (2020). Evaluation of nine reference evapotranspiration models in Traghen region, Southwest of Libya. Al-Mukhtar Journal of Sciences, 35(3), 248-229. https://doi.org/10.54172/