Theoretical and Applied Climatology

, Volume 133, Issue 3–4, pp 787–797 | Cite as

Retrieving air humidity, global solar radiation, and reference evapotranspiration from daily temperatures: development and validation of new methods for Mexico. Part III: reference evapotranspiration

  • P. LobitEmail author
  • A. Gómez Tagle
  • F. Bautista
  • J. P. Lhomme
Original Paper


We evaluated two methods to estimate evapotranspiration (ETo) from minimal weather records (daily maximum and minimum temperatures) in Mexico: a modified reduced set FAO-Penman-Monteith method (Allen et al. 1998, Rome, Italy) and the Hargreaves and Samani (Appl Eng Agric 1(2): 96–99, 1985) method. In the reduced set method, the FAO-Penman-Monteith equation was applied with vapor pressure and radiation estimated from temperature data using two new models (see first and second articles in this series): mean temperature as the average of maximum and minimum temperature corrected for a constant bias and constant wind speed. The Hargreaves-Samani method combines two empirical relationships: one between diurnal temperature range ΔT and shortwave radiation Rs, and another one between average temperature and the ratio ETo/Rs: both relationships were evaluated and calibrated for Mexico. After performing a sensitivity analysis to evaluate the impact of different approximations on the estimation of Rs and ETo, several model combinations were tested to predict ETo from daily maximum and minimum temperature alone. The quality of fit of these models was evaluated on 786 weather stations covering most of the territory of Mexico. The best method was found to be a combination of the FAO-Penman-Monteith reduced set equation with the new radiation estimation and vapor pressure model. As an alternative, a recalibration of the Hargreaves-Samani equation is proposed.


  1. Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration: guidelines for computing water requirements. Irr drain paper 56 UN-FAO, RomeGoogle Scholar
  2. Bautista F, Bautista D, Delgado-Carranza C (2009) Calibration of the equations of Hargreaves and Thornthwaite to estimate the potential evapotranspiration in semi-arid and subhumid tropical climates for regional applications. Atmósfera 22(4):331–348Google Scholar
  3. Blaney HF, Criddle WO (1950) Determining water requirements in irrigated areas from climatological and irrigation data. USDA Soil Conservation Service, 48pp technical paper no. 96. Washington, USAGoogle Scholar
  4. Borges AC, Mendiondo EM (2007) Comparação entre equações empíricas para estimativa da evapotranspiração de referência na Bacia do Rio Jacupiranga. Rev Bras Eng Agríc Ambient 11:293–300CrossRefGoogle Scholar
  5. Hargreaves GH (2003) History and evaluation of Hargreaves evapotranspiration equation. J Irrig Drain Eng 129(1):53–63CrossRefGoogle Scholar
  6. Hargreaves GH, Samani ZA (1985) Reference crop evapotranspiration from temperature. Appl Eng Agric 1(2):96–99CrossRefGoogle Scholar
  7. Haude W (1952) Zur Möglichkeit nachträglicher Bestimmung der Wasserbeanspruchung durch die Luft und ihrer Nachprüfung an Hand von Topfversuchen und Abflußmessungen. Ber Dtsch Wetterdienstes US Zone 32:27–34Google Scholar
  8. Knapp CL, Stoffeland TL, Whitaker SD (1980) Insulation solar radiation manual. Solar energy research institute golden CO 281 ppGoogle Scholar
  9. Oliveira CW, Yoder RE (2000) Evaluation of daily reference evapotranspiration estimation methods for a location in the southern USA. ASAE paper no 002030 St Joseph, Mich: ASAEGoogle Scholar
  10. R Development Core Team (2012) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL
  11. Stefano C, Ferro V (1997) Estimation of evapotranspiration by Hargreaves formula and remotely Sensed data in semi-arid Mediterranean areas. J Agric Eng Res 68:189–199CrossRefGoogle Scholar
  12. Thornthwaite CW (1948) An approach toward a rational classification of climate. Geogr Rev 38(1):55–94CrossRefGoogle Scholar
  13. Walter IA, Allen RG, Elliott R, Itenfisu D, Brown P, Jensen ME, Mecham B, Howell TA, Snyder R, Echings S, Spofford T, Hattendorf M, Martin D, Cuenca RH, Wright JL (2001) ASCE’s standardized reference evapotranspiration equation. Watershed Management and Operations Management Conferences, Fort Collins, Colorado, United States, 20–24 June 2000Google Scholar
  14. Yoder RE, Odhiambo LO, Wrigh WC (2005) Evaluation of methods for estimating daily reference crop evapotranspiration at a site in the humid southeast United States. Appl Eng Agric 21(2):197–202CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria 2017

Authors and Affiliations

  1. 1.Instituto de Investigaciones Agropecuarias y ForestalesUniversidad Michoacana de San Nicolás de HidalgoTarímbaroMexico
  2. 2.Instituto de Investigaciones sobre Recursos NaturalesUniversidad Michoacana de San Nicolás de HidalgoMoreliaMexico
  3. 3.Centro de Investigaciones en Geografía AmbientalUNAMMoreliaMexico
  4. 4.UMR LISAHMontpellier Cedex 1France

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