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Evapotranspiration calculator: FAO-56 Penman-Monteith ET0 and crop water use from daily weather

Work out daily reference evapotranspiration (ET0) with the FAO-56 Penman-Monteith equation from temperature, humidity, wind and sunshine or radiation, with shortcuts when humidity or radiation is missing, Hargreaves for comparison, crop water use with your own Kc, and a daily table you paste or open for a month or years of weather.

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  1. Place
  2. Weather
  3. ET0
  4. Crop use
Nothing is uploadedWorks offline once open

Place

ET0 is the water used by a wide, well-watered field of short grass. Multiply by your crop's coefficient Kc (from your local extension service or FAO-56) for the crop's own use, ETc = Kc × ET0. The place matters for the sun: latitude and date set the radiation at the top of the air, elevation sets the air pressure.

One day

With no humidity reading, the dew point is taken as the lowest temperature, which suits humid and irrigated places; in dry places it overstates the humidity. With no sunshine or radiation, radiation comes from the day's temperature range (Hargreaves). Both shortcuts are rougher than measurements. The example day is made up.

Daily table

One row per day with a header. Columns are found by name: date (YYYY-MM-DD), Tmax and Tmin (needed), then RH max and RH min, or RH (mean), or dew point; wind (at the height above); sunshine hours, or solar radiation in MJ/m². Missing columns use the same shortcuts as above. Up to 3,660 days (10 years). The example month is made up.

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What it does

Evapotranspiration is the water that leaves the ground as vapour, from the soil surface and through the leaves of plants. Farmers, irrigation engineers and water planners estimate it to know how much water a crop or a catchment needs.

The standard starting point is the reference evapotranspiration ET0: the water used each day by a wide, well-watered field of short grass. This tool works it out with the FAO-56 Penman-Monteith equation, which balances the sun’s energy against the drying power of the air:

  • the energy part, from net radiation (sunlight in, minus what is reflected and what the ground radiates back);
  • the aerodynamic part, from the vapour pressure deficit (how dry the air is) and the wind that carries moist air away.

Multiply ET0 by a crop coefficient Kc to get the crop’s own water use, ETc.

How to use it

  1. Give the latitude (south negative), the elevation and the height of the wind reading (weather stations often measure at 10 m; it is converted to 2 m).
  2. For one day, give the date, the highest and lowest temperatures, the humidity in whichever form you have, the mean wind speed and the hours of bright sunshine or the measured solar radiation.
  3. For many days, paste or open a daily table with a header. Columns are recognised by name: date, Tmax, Tmin, RH max and RH min (or RH, or dew point), wind, sunshine or solar radiation.
  4. Optionally type a Kc for your crop and growth stage to see the crop’s water use.

What each setting does

  • Humidity not measured takes the dew point as the day’s lowest temperature, as FAO-56 suggests; it suits humid or irrigated sites and overstates humidity in dry ones.
  • Sunlight not measured estimates radiation from the temperature range; the coastal setting suits sites near large water bodies.
  • Wind left blank uses 2 m/s, the FAO-56 world average.

Worked example

A made-up mid-July day at 43.1° N, 180 m up: 29 °C high, 16.5 °C low, relative humidity between 88 % and 41 %, wind 3.1 m/s at 10 m (2.32 m/s at 2 m) and 10.2 hours of sunshine. The sun at the top of the air gives 40.7 MJ/m²; 24.1 MJ/m² reaches the ground, and net radiation is 14.3 MJ/m². The vapour pressure deficit is 1.29 kPa. ET0 is 5.53 mm/day; Hargreaves gives 5.48 mm/day. With Kc = 1.15 (a made-up mid-season value), the crop uses 6.36 mm/day.

FAQ

Why is my Hargreaves value different? Hargreaves uses only temperature and the sun’s position, so it misses humidity and wind. It is a useful check when data are short, not a replacement.

Can I use hourly data? Not here. FAO-56 has an hourly form with a soil heat flux term; this tool works with daily totals and means, where the soil heat flux is taken as zero.

Does ET0 tell me when to irrigate? It is one part of a water balance. Rain, soil water, the crop’s stage and the irrigation method all matter; follow your local extension service.

Where the numbers come from

  • FAO-56 Penman-Monteith reference evapotranspiration and its supporting equations (vapour pressure, extraterrestrial and clear-sky radiation, net long-wave radiation, wind height adjustment, missing-data procedures): Allen, R. G., Pereira, L. S., Raes, D. and Smith, M. (1998), Crop evapotranspiration, FAO Irrigation and Drainage Paper 56 (equations only; none of its tables or example data are reproduced).
  • Hargreaves ET0 and radiation from the temperature range: Hargreaves, G. H. and Samani, Z. A. (1985), as given in FAO-56.
  • No crop coefficients are bundled: users type their own Kc.
  • Checked against an independent Python version and the open-source pyet 1.5 library in the tests. The example weather is made up, drawn at random by fibub.

Standard scientific values, such as constants, atomic weights and melting points, are facts found in every textbook; we name where ours were checked. If you are an author or publisher and want a value, a credit or a table changed or removed, tell us and we will act quickly.

Last updated 2026-11-08.

Change log for Evapotranspiration calculator

  1. Add the evapotranspiration calculator (#143) Details on GitHub

Every change to fibub

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