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


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




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


  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.


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الرجبو، وليد أسمير وخضر جاسم ومخلف شلال (2008). دراسة التبخر–نتح المرجعي في محافظة نينوى باستخدام عدة نماذج رياضية. كلية التربية، جامعة الموصل. مجلة علوم الرافدين 19(3):154-173.

عبد السميع، نوال بالقاسم وعلي العقاب اخنيفر (2020). تقييم أداء بعض نماذج البخر- نتح المرجعي في مناطق جبلية وساحلية من ليبيا. مجلة العلوم البحثة والتطبيقية ,19(1):66-78.

مؤمن، محمد عبد الكريم وأسامة عبد الحميد عبد العاطي (2016). مقارنة لبعض الطرق الحسابية للبخر– النتح المرجعي بمنطقة شحات بالجبل الأخضر– ليبيا. جامعة عمر المختار، البيضاء، ليبيا. مجلة المختار للعلوم. 1(1): 1-16.

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 user’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 Ag-riculture 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. DOI: https://doi.org/10.2134/agronj1989.00021962008100040019x

Amatya, D. M; R. W. Skaggs and J. D. Gregory (1995). Comparison of methods for es-timating REF-ET. Journal of Irrigation and Drainage Engineering, 121(6):427-435. DOI: https://doi.org/10.1061/(ASCE)0733-9437(1995)121:6(427)

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 Science 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. DOI: https://doi.org/10.1016/j.agwat.2014.03.015

Caporusso, N. B. and G. S. Rolim (2015). Ref-erence evapotranspiration models using different time scales in the Jaboticabal re-gion of São Paulo, Brazil. Acta Scientiarum Agronomy, 37(1):1-9. DOI: https://doi.org/10.4025/actasciagron.v37i1.18277

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 Re-search, 28:123–132. DOI: https://doi.org/10.3354/cr028123

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. DOI: https://doi.org/10.1659/MRD-JOURNAL-D-14-0024.1

DehghaniSanij, H.; T. Yamamoto and V. Rasiah (2004). Assessment of evapotranspiration estimation models for use in semi-arid environments. Agricultural Water Management, 64: 91-106. DOI: https://doi.org/10.1016/S0378-3774(03)00200-2

Djaman, K.; A. B. Balde; A. Sow; B. Muller; S. Irmak; M. K. N’Diaye; B. Manneh and K. Saito (2015). Evaluation of sixteen ref-erence evapotranspiration methods under Sahelian conditions in the Senegal River valley. Journal of Hydrology: Regional Studies, 3: 139-159. DOI: https://doi.org/10.1016/j.ejrh.2015.02.002

Djaman, K.; K. Koudahe; M. Sall; I. Kabenge; D. Rudnick and S. Irmak (2017). Perfor-mance of twelve mass transfer based ref-erence evapotranspiration models under humid climate. Journal of Water Resource and Protection, 9:1347-1363. DOI: https://doi.org/10.4236/jwarp.2017.912086

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 Organization 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. DOI: https://doi.org/10.1016/j.jhydrol.2009.04.029

Droogers, P. and R. G. Allen (2002). Estimat-ing reference evapotranspiration under in-accurate data conditions. Irrigation and Drainage Systems, 16(1):33-45. DOI: https://doi.org/10.1023/A:1015508322413

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. DOI: https://doi.org/10.4236/as.2013.48A008

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. DOI: https://doi.org/10.1111/1752-1688.12530

George, B. A.; B. R. S. Reddy; N. S. Raghuwanshi and W. W. Wallender (2002). Decision support system for estimating reference evapotranspiration. Journal of Irrigation and Drainage Engineering, 128(1):1-10. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2002)128:1(1)

Ghamarnia, H.; F. Mousabeyg; S. Amiri and D. Amirkhani (2015). Evaluation of a few evapotranspiration models using lysimetric measurements in a semi-arid climate region. International Journal of Plant and Soil Science 5(2): 100-109. DOI: https://doi.org/10.9734/IJPSS/2015/14320

Hamon, W. R. (1961). Estimating potential evapotranspiration. Journal of the Hydrau-lics Division, ASCE, 87(HY3):107-120. DOI: https://doi.org/10.1061/JYCEAJ.0000599

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. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2003)129:1(53)

Hargreaves, G. H. and Z. A. Samani (1985). Reference crop evapotranspiration from temperature. Applied Engineering in Agri-culture, 1(2):96-99. DOI: https://doi.org/10.13031/2013.26773

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. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2003)129:5(336)

Irmak, S.; R. G. Allen and E. B. Whitty (2003b). Daily grass and alfalfa-reference evapotranspiration estimates and alfalfa-to-grass evapotranspiration ratios in Florida. Journal of Irrigation and Drainage En-gineering, 129(5):360-370. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2003)129:5(360)

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. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2008)134:2(147)

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. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2003)129:6(440)

Jacobs, J. M. and S. R. Satti (2001). Evaluation of reference evapotranspiration meth-odology and AFSIRS crop water use simu-lation model. Final report, Department of Civil and Coastal Engineering, University of Florida, Gainesville, Florida , For John M. Fitzgerald, Water Use Data Manager Division of Water Supply Management, 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. DOI: https://doi.org/10.1016/0378-3774(95)01152-9

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 evapotranspi-ration estimates for a tropical watershed in the eastern Amazon. Annals of the Brazilian Academy of Sciences, 89(3):1985-2002. DOI: https://doi.org/10.1590/0001-3765201720170147

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. DOI: https://doi.org/10.1007/s00703-011-0132-1

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. DOI: https://doi.org/10.1029/1998WR900018

Liu, X. Y. and L. Erda (2005). Performance of the Priestley-Taylor equation in the semi-arid climate of north China. Agricultural Water Management, 71(1):1-17. DOI: https://doi.org/10.1016/j.agwat.2004.07.007

Loague, K. and R. E. Green (1991). Statistical and graphical methods for evaluating solute transport models: Overview and Ap-plication. Journal of Contaminant Hydrol-ogy, 7(1-2):51-73. DOI: https://doi.org/10.1016/0169-7722(91)90038-3

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. DOI: https://doi.org/10.1016/j.agwat.2006.03.014

Mahringer, W. (1970). Verdunstungsstudien am Neusiedler See. [Evaporation Studies at Lake Neusiedl.] Arch Met Geoph BioklSer , B, 18:1-20. DOI: https://doi.org/10.1007/BF02245865

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. DOI: https://doi.org/10.1016/0022-1694(93)90276-F

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. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0000214

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. DOI: https://doi.org/10.1590/S1415-43662003000200015

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. DOI: https://doi.org/10.17221/240/2010-PSE

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 DOI: https://doi.org/10.20431/2454-8693.0501001

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. DOI: https://doi.org/10.1061/(ASCE)0733-9437(2006)132:3(238)

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. DOI: https://doi.org/10.1016/0022-1694(70)90255-6

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. DOI: https://doi.org/10.7127/rbai.v5n300060

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 Water Conservation Research, 4(1):52-63. DOI: https://doi.org/10.1016/j.iswcr.2016.02.003

Penman, H. L. (1948). Natural evaporation from open water, bare soil, and grass. Pro-ceedings of the Royal Society of London, A193:120-146. DOI: https://doi.org/10.1098/rspa.1948.0037

Pereira, L. S.; R. G. Allen; M. Smith and D. Raes (2015). Crop evapotranspiration es-timation with FAO56: Past and future. Ag-ricultural Water Management 147: 4-20. DOI: https://doi.org/10.1016/j.agwat.2014.07.031

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. DOI: https://doi.org/10.1002/ird.228

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. DOI: https://doi.org/10.1175/1520-0493(1972)100<0081:OTAOSH>2.3.CO;2

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. DOI: https://doi.org/10.1016/j.agwat.2012.12.019

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. DOI: https://doi.org/10.1080/03650340902829180

Rojas, J. P. and R. E. Sheffield (2013). Evalua-tion of daily reference evapotranspiration methods as compared with the ASCE-EWRI Penman–Monteith equation using limited weather data in northeast Louisiana. Irrigation and Drainage Engineering 139:285–292. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0000523

Romanenko, V. A. (1961). Computation of the autumn soil moisture using a universal re-lationship 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. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0000242

Sentelhas, P. C.; T. J. Gillespie and E. A. Santos (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. DOI: https://doi.org/10.1016/j.agwat.2009.12.001

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 procedures for revision of FAO guidelines for prediction of crop water requirements. Land and Water Development Division, United Nations Food and Agriculture Service: Rome.

Tabari, H. (2010). Evaluation of reference crop evapotranspiration equations in various climates. Water Resources Management, 24(10):2311–2337. DOI: https://doi.org/10.1007/s11269-009-9553-8

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. DOI: https://doi.org/10.1007/s00271-011-0295-z

Thornthwaite, C. W. (1948). An approach to-wards a rational classification of climate. Geographical Review, 38:55-94. DOI: https://doi.org/10.2307/210739

Trabert, W. (1896). Neue Beobachtungenuber Verdampfungsgeschwindigkeiten.[New Observations on Evaporation Rates.] Me-teorologische Zeitschrift , 13, 261-263 DOI: https://doi.org/10.2307/4068816

Trajkovic, S. and S. Kolakovic (2009). Evalua-tion of reference evapotranspiration equa-tions under humid conditions. Water Re-sources Management, 23(14):3057-3067. DOI: https://doi.org/10.1007/s11269-009-9423-4

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. DOI: https://doi.org/10.1080/02723646.1981.10642213

Willmott, C. J. (1982). Some comments on the evaluation of model performance. Bulletin of the American Meteorological Society, 63(11):1309-1313. DOI: https://doi.org/10.1175/1520-0477(1982)063<1309:SCOTEO>2.0.CO;2

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. DOI: https://doi.org/10.1007/978-94-017-3048-8_23

Willmott, C. J.; S. M. Robeson and K. Matsuura (2012). A refined index of model performance. Short Communication. International Journal of Climatology, 32:2088–2094. DOI: https://doi.org/10.1002/joc.2419

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. DOI: https://doi.org/10.1002/joc.4518

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. DOI: https://doi.org/10.1002/hyp.5853

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. DOI: https://doi.org/10.1080/03650340.2012.683425

Xystrakis, F. and A. Matzarakis (2011). Eval-uation 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. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0000283

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. DOI: https://doi.org/10.13031/2013.18153



How to Cite

Alghusni, A. O. . (2020). Evaluation of nine reference evapotranspiration models in Traghen region, Southwest of Libya. Al-Mukhtar Journal of Sciences, 35(3), 225–246. https://doi.org/10.54172/mjsc.v35i3.299



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