AllMyCalculators

Evapotranspiration Calculator (Hargreaves)

Estimates how much water a reference grass crop loses each day when all you have is temperature.

Sets the sun’s position. For a period, use its middle date.

°

North is positive, south is negative.

Leave at 1 for the reference figure.

days
Reference evapotranspiration (ET₀)
— mm/day

Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

In inches — in/day
Crop evapotranspiration (ETc) — mm/day
Crop use over the period — mm
Radiation at the top of the atmosphere — mm/day equivalent
This is an estimate —

The formula

ET₀ = 0.0023 × Ra × (Tmean + 17.8) × √(Tmax − Tmin)

This is the Hargreaves-Samani equation, with temperatures in °C and Ra the radiation at the top of the atmosphere expressed in mm/day. Ra comes from the latitude and date, using the FAO-56 equations.

What to watch out for

The daily temperature range stands in for cloud and humidity, since clear days tend to have wide ranges. Multiply ET₀ by a crop coefficient to get the use for a particular crop, then take it to the irrigation water requirement calculator.

Frequently Asked Questions

What is ET₀?

Reference evapotranspiration: the water used by a well-watered, short grass surface. Crops are compared with it through a crop coefficient.

What does the equation give in a summer example?

At 52° N on 21 June, with 22 °C and 11 °C, about 4.5 mm/day.