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A quantitative approach to the Pruitt and Doorenbos version of the Penman equation

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Summary

The Pruitt and Doorenbos version of the Penman equation developed from information given in Appendix II of FAO Irrigation and Drainage Paper No. 24 is calculated mainly from tables and is based on measurements made over a grass surface. Procedures are presented here to quantify these relationships, such as the calculation of net radiation, and to extend this approach to measurements made over alfalfa (Medicago sativa, L.). The latter was achieved by using a wind function that takes into account the height of the alfalfa and the use of mean rather than maximum relative humidity to calculate the correction factor used to take into account day and night weather conditions on calculated reference crop evapotranspiration. Using the above procedures, calculated values of evapotranspiration overestimated measured values from alfalfa by 13%. From data collected with an automated weather station near Broadwater, Nebraska, a much better agreement was obtained between these general procedures and a Penman equation with a locally derived- wind function. With greater utilization of low cost, automated weather stations for agricultural use, the procedures given for calculating reference crop evapotranspiration can easily be implemented in irrigation scheduling programs.

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References

  • Brock TD (1981) Calculating solar radiation for ecological studies. Ecol Modelling 14:1

    Article  Google Scholar 

  • Brunt D (1932) Notes on radiation in the atmosphere, I. Q J R Meteorol Soc 58:389

    Google Scholar 

  • Brutsaert W (1975) On a derivable formula for long-wave radiation from clear skies. Water Resour Res 11:742

    Google Scholar 

  • Burman RD, Nixon PR, Wright JL, Pruitt WO (1980) Water Requirements. In: Jensenn ME (ed) Design and Operation of Farm Irrigation Systems. ASAE Monograph, St. Joseph, MI, p 829, pp 187–232

  • Cuenca RH, Nicholson MT (1982) Application of the Penman equation wind function. J Irrig Drain Div ASCE 108(IR1):13

    Google Scholar 

  • Davis JA, Idso SB (1979) Estimating the surface radiation balance and its components. In: Barfield BJ and Gerber JF (eds) Modification of the Aerial Environment of Crops. ASAE Monograph, St. Joseph, MI, p 538, pp 183–210

  • Denmead OT (1976) Temperate cereals. In: Monteith JL (ed) Vegetation and the atmosphere, Vol 2, Academic Press, New York, p 439, pp 1–30

    Google Scholar 

  • Doorenbos J, Pruitt WO (1977) Guidelines for predicting crop water requirements. FAO, Rome, Irrig. Drain. Paper No. 24, p 144 (revised version of the 1975 edition)

    Google Scholar 

  • Fuchs M, Tanner CB (1966) Infrared thermometry of vegetation. Agron J 58:597

    Google Scholar 

  • Izumi Y, Barad MI (1970) Wind speeds as measured by cup and sonic anemometers and influenced by tower structure. J Appl Meteorol 9:851

    Article  Google Scholar 

  • Jensen ME (ed) (1974) Consumptive use of water and irrigation water requirements. Rep Tech Corn on Irrig Water Requirements, Am Soc Civ Eng, Irrig Drain Div, p 227

  • Kincaid DC, Heermann DF (1974) Scheduling irrigations using a programmable calculator ARS-NC-12, p 55

  • List RJ (1971) Smithsonian Meteorological Tables, 6th rev. ed. Smithsonian Institution Press, p 527

  • Lowe PR (1977) An approximating polynomial for the computation of saturation vapor pressure. J Appl Meteorol 16:100

    Article  Google Scholar 

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

    Google Scholar 

  • Murray FW (1967) On the computation of saturation vapor pressure. J Appl Meteorol 6:203

    Article  Google Scholar 

  • Penman HL (1948) Natural evaporation from open water, bare soil and grass. Proc R Soc London Ser A 193:120

    Google Scholar 

  • Pruitt WO, Doorenbos J (1977) Background and development of methods to predict reference crop evapotranspiration (ETo). pp 108–119. In: Doorenbos J, Pruitt WO, Guidelines for predicting crop water requirements. FAO Rome Italy, Irrig Drain Paper No 24, p 144 (revised version of the 1975 edition)

    Google Scholar 

  • Rasmussen LA (1978) On the approximation of saturation vapor pressure. J Appl Meteorol 17:1564

    Article  Google Scholar 

  • Ripley EA (1976) Comments on “Gamma — The psychrometer non-constant”. J Appl Meteorol 15:1027

    Article  Google Scholar 

  • Rosenberg NJ (1969) Seasonal patterns on evapotranspiration by alfalfa in the central Great Plains. Agron J 61:879

    Google Scholar 

  • Rosenberg NJ, Verma SB (1978) Extreme evapotranspiration by irrigated alfalfa: a consequence of 1976 midwestern drought. J Appl Meteorol 17:934

    Article  Google Scholar 

  • Stigter CJ (1976) On the non-constant gamma. J Appl Meteorol 15:1326

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Storr D, den Hartog G (1975) Gamma — the psychrometer non-constant. J Appl Meteorol 14:1397

    Article  Google Scholar 

  • Tabata S (1973) A simple but accurate formula for the saturation vapor pressure over liquid water. J Appl Meteorol 12:1410

    Article  Google Scholar 

  • Tanner CB, Pelton WL (1960) Potential evapotranspiration estimates by the approximate energy balance method of Penman. J Geophys Res 65:3391

    Google Scholar 

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

    Article  Google Scholar 

  • van Bavel CHM (1966) Potential evaporation: The combination concept and its experimental verification. Water Resour Res 2:455

    Google Scholar 

  • Weiss A (1982) An experimental study of net radiation, its components and prediction. Agron J 74:871

    Google Scholar 

  • Wigley TML (1974) Comments on “A simple but accurate formula for the saturation vapor pressure over liquid water”. J Appl Meteorol 13:608

    Article  Google Scholar 

  • Wright JL (1982) New evapotranspiration crop coefficients. J Irrig Drain Div, ASCE, 108(IR1):57

    Google Scholar 

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Published as paper no. 6865, Journal Series, Nebraska Agricultural Experiment Station

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Weiss, A. A quantitative approach to the Pruitt and Doorenbos version of the Penman equation. Irrig Sci 4, 267–275 (1983). https://doi.org/10.1007/BF00389649

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  • DOI: https://doi.org/10.1007/BF00389649

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