Reference Evapotranspiration Estimation: Why Is the Penman–Monteith Equation the Standard?
When we compute the water balance of a basin, design an irrigation schedule, or build a drought index such as SPEI, we need a number that measures how much water the atmosphere demands from the soil and plants. This number is evapotranspiration, which combines evaporation from soil and water surfaces with transpiration from plant leaves. In a hot, dry climate such as central Iraq, this demand consumes a large share of every drop of rain, so any error in estimating it passes directly into the results for drought, runoff, and irrigation requirements.
Understanding rests on distinguishing three concepts. Reference evapotranspiration (ET₀) is the atmospheric demand of a fixed reference grass surface that fully covers the soil and does not suffer from water shortage, so it reflects climate alone. Crop water requirement is obtained by multiplying ET₀ by a coefficient specific to each crop, while actual evapotranspiration is what really occurs on the ground and may be much lower when the soil is dry. The value of the reference surface lies in allowing climate comparisons between two different locations.
Estimation methods have multiplied over the decades and can be classified into three categories. The first relies on temperature alone, such as Thornthwaite and Hargreaves–Samani, and is simple because it requires little data. The second relies on solar radiation, such as Priestley–Taylor. The third consists of combination methods, the best known being the Penman equation, which in 1948 combined the surface energy balance with the effects of wind and humidity. Monteith then added in 1965 a surface resistance representing leaf stomata, giving rise to the Penman–Monteith equation.
Its status as the standard has several reasons. First, it is physically based: it accounts for energy, humidity, and wind together rather than relying on an empirical relationship specific to one region. Second, FAO experts recommended in 1990 that it be adopted as the single standard method, and FAO Irrigation and Drainage Paper 56 (FAO-56) adopted it with a unified reference surface, making results comparable across countries and studies. Third, a broad evaluation study by the American Society of Civil Engineers compared about twenty methods against weighing lysimeter measurements at eleven sites, and combination methods, including this equation, performed best. Fourth, FAO-56 established procedures for estimating missing data, so the equation can be run even when some inputs are unavailable.
However, practical reality requires compromises. The equation needs temperature, humidity, wind speed, and radiation, data that are not always available with sufficient quality at Iraqi stations. For this reason, the Hargreaves–Samani method, which requires only temperature, is often used; it performs well with limited data, especially at weekly or longer time scales, though it needs local calibration. The study we discussed in the Middle Euphrates combined the two methods, calculating evapotranspiration with the Penman–Monteith equation and applying the Hargreaves–Samani adjustment to compensate for gaps at some stations.
The equation also has limitations that should be understood. It is designed for a well-watered reference surface and does not represent dry lands or actual crops. Its accuracy is affected by the quality of wind and humidity data, which are the hardest to measure, and errors in satellite and reanalysis data are transferred to it if they are used in place of ground measurements. The choice of method becomes more important in drought studies under climate change, as a study published in Nature in 2012 showed that temperature-only methods may overestimate the severity of future drought, while the reference equation gives a less exaggerated picture. Therefore, the estimation method should be clearly stated in any study that uses SPEI.
In practice, it is advisable to use Penman–Monteith whenever sufficient data are available, check the quality of the inputs before running it, resort to Hargreaves–Samani when data are limited to temperature while calibrating it against a reference station, and then document the method used in the methodology.
Thus, the Penman–Monteith equation is the standard not because it is free of flaws, but because it combines a physical basis, international standardization, and performance tested across climates. It is the common language engineers speak when measuring the atmosphere’s demand for water.
Presented by: Assist. Lecturer Zahraa Hussein Mohammed
References
Allen, R.G., Pereira, L.S., Raes, D., Smith, M. (1998). Crop evapotranspiration: Guidelines for computing crop water requirements. FAO Irrigation and Drainage Paper 56, Rome.
Penman, H.L. (1948). Natural evaporation from open water, bare soil and grass. Proceedings of the Royal Society A, 193, 120–145.
Monteith, J.L. (1965). Evaporation and environment. Symposia of the Society for Experimental Biology, 19, 205–234.
Jensen, M.E., Burman, R.D., Allen, R.G. (eds.) (1990). Evapotranspiration and Irrigation Water Requirements. ASCE Manual No. 70.
Hargreaves, G.H., Samani, Z.A. (1985). Reference crop evapotranspiration from temperature. Applied Engineering in Agriculture, 1(2), 96–99.
Sheffield, J., Wood, E.F., Roderick, M.L. (2012). Little change in global drought over the past 60 years. Nature, 491, 435–438.
Zahraa Hussein Mohammed Aziz (2024). Projections of Climate Changes in Hydrological Regime of the middle Mesopotamian plain. Master’s thesis, University of Babylon.