Skip to main content
Log in

The accuracy of evapotranspiration estimated with the FAO modified penman equation

  • Published:
Irrigation Science Aims and scope Submit manuscript

Summary

The FAO modified Penman equation has gained acceptance as a standard method of estimating reference crop evapotranspiration. Although theoretically sound the Penman equation becomes increasingly empirical when parameters or variables have to be estimated. When evapotranspiration estimates are being used for practical purposes the uncertainties introduced by these empirical factors and relationships should not be neglected. Evapotranspiration estimates for north-east Sri Lanka are used to illustrate the importance of the empiricisms in the FAO modified Penman equation. It is shown that the different empirical relationships used to estimate net radiation and the wind function in the FAO modified Penman equation and in the Penman (1963) equation produce a 23% difference in the estimate of annual reference crop evapotranspiration.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Batchelor CH, Roberts J (1983) Evaporation from the irrigation water, foliage and panicles of paddy rice in north-east Sri Lanka. Agric Meteorol 29:11

    Google Scholar 

  • Brunt D (1934) Physical and Dynamical Meteorology. Cambridge University Press, London, p 411

    Google Scholar 

  • Budyko MI (1956) The Heat Balance of the Earth's Surface, translated by N. I. Stepanova, US Weather Bureau, Washington

    Google Scholar 

  • Cuenca HC, Nicholson MT (1982) Application of Penman equation wind function. J Irrig Drain Div ASCE 108:13

    Google Scholar 

  • Doorenbos J, Pruitt WO (1975) Crop Water Requirements. Irrigation and Drainage Paper No. 24, FAO, Rome

    Google Scholar 

  • Doorenbos J, Pruitt WO (1977) Crop Water Requirements. Irrigation and Drainage Paper No. 24 (Revised), FAO, Rome

    Google Scholar 

  • Edwards KA, Rodda JC (1970) A preliminary study of the water balance of a small clay catchment. J Hydrol (NZ) 9:202

    Google Scholar 

  • Fitzpatrick EA, Stern WR (1965) Components of the radiation balance of irrigated plots in a dry monsoonal environment. J Appl Meteorol 4:649

    Google Scholar 

  • Frére M, Popov GF (1979) Agrometeorological Crop Monitoring and Forecasting. Plant Production and Protection Paper No. 17, FAO, Rome

    Google Scholar 

  • Gerber JF, Decker WL (1961) Evapotranspiration and heat budget of a corn field. Agron J 58:259

    Google Scholar 

  • Goss JR, Brooks FA (1956) Constants for empirical expressions for downcoming atmospheric radiation under cloudless sky. J Meteorol 13:482

    Google Scholar 

  • Holmes DW, Dawson RJ, Gunston H, Batchelor CH (1980) Water management study at Kaudulla Irrigation Scheme, Sri Lanka, HRS Report OD29

  • Joshua WD (1977) Procedures for computation of irrigation duty in project design. Sri Lanka Irrigation Dept Internal Report

  • Monteith JL (1965) Evaporation and environment. Symp Soc Expl Biol 19:205

    Google Scholar 

  • Monteith JL (1973) Principles of Environmental Physics. Edward Arnold, London, p 241

    Google Scholar 

  • Monteith JL, Szeicz G (1962) Radiative temperature in the heat balance of natural surfaces. Q J R Meteorol Soc 88:496

    Google Scholar 

  • Penman HL (1949) The dependence of transpiration on weather and soil conditions. J Soil Sci 1:74

    Google Scholar 

  • Penman HL (1952) Experiments on the irrigation of sugar beet. J Agric Sci 42:286

    Google Scholar 

  • Penman HL (1956) Evaporation: an introductory survey. Neth J Agric Sci 4:9

    Google Scholar 

  • Penman HL (1963) Vegetation and hydrology. Tech Comm 53, Commonwealth Bureau of Soils, Harpenden

    Google Scholar 

  • Prescott JA (1940) Evaporation from a water surface in relation to solar radiation. Trans R Soc Aust 64:114–125

    Google Scholar 

  • Pruitt WO, Doorenbos J (1977) Empirical calibration, a requisite for evapotranspiration formulae based on daily or longer mean climatic data? International Conference on Evapotranspiration, I.C.I.D., Budapest

    Google Scholar 

  • Stanhill G (1961) A comparison of methods calculating potential evapotranspiration from climatic data. Isr J Agric Res 11:159

    Google Scholar 

  • Stigter CJ (1979) Comparison and combination of two recent proposals for a generalized Penman equation. Q J R Meteorol Soc 105:1071

    Google Scholar 

  • Stigter CJ (1980) Assessment of the quality of generalized wind functions in Penman's equations. J Hydrol 45:321

    Google Scholar 

  • Stigter CJ (1983) Discussion on “Application of Penman equation wind function”. J Irrig Drain Div ASCE 109:278

    Google Scholar 

  • Thom AS, Oliver HR (1977) On Penman's equation for estimating regional evaporation. Q J R Meteorol Soc 103:345

    Google Scholar 

  • Van Bavel CHM, Wilson TV (1952) Evaporation estimates as critical for determining time of irrigation. Agric Eng 33:417

    Google Scholar 

  • Wang JY, Wang SC (1962) A simple graphical approach to Penman's method for evaporation estimates. J Appl Meteorol I:582

    Google Scholar 

  • Weiss A (1983) A quantitative approach to the Pruitt and Doorenbos version of the Penman equation. Irrig Sci 4:267

    Google Scholar 

  • Wright JL, Jensen ME (1972) Peak water requirements of crops in southern Idaho. J Irrig Drain Div ASCE 96:193

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Batchelor, C.H. The accuracy of evapotranspiration estimated with the FAO modified penman equation. Irrig Sci 5, 223–233 (1984). https://doi.org/10.1007/BF00258176

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00258176

Keywords

Navigation