Evapotranspiration Calculator
Estimate reference evapotranspiration (ET₀) using a simplified Penman-Monteith approach from temperature, humidity, wind speed, and solar radiation.
About this calculator
Reference evapotranspiration (ET₀) is the standard measure hydrologists and irrigation planners use to estimate how much water a well-watered reference surface (typically modeled as a short, uniform grass) loses to the atmosphere through combined evaporation and plant transpiration, and it's the foundation for calculating actual crop water requirements once a crop-specific coefficient is applied. This calculator implements a simplified version of the FAO Penman-Monteith equation — the internationally recognized standard method for estimating reference ET, published in FAO Irrigation and Drainage Paper 56 (Allen et al., 1998) and widely adopted by agricultural extension services and irrigation scheduling tools worldwide. The formula combines an energy term (driven by net radiation and the temperature-dependent slope of the saturation vapor pressure curve) with an aerodynamic term (driven by wind speed and the vapor pressure deficit — how much drier the air is than saturated), weighted by the psychrometric constant that relates the two.
This implementation simplifies the full standard method in two notable ways: it estimates net radiation directly from incoming solar radiation using a fixed albedo and simplified longwave-loss factor rather than the FAO-56 method's fuller net radiation calculation (which separately accounts for cloud cover and both incoming and outgoing longwave radiation), and it uses the sea-level psychrometric constant rather than adjusting it for site elevation and atmospheric pressure. For rough irrigation planning and comparing how weather conditions affect water demand, this simplified approach tracks the real Penman-Monteith relationship well; for water-rights compliance, engineering design, or research applications, the full FAO-56 method with locally measured or interpolated radiation and elevation-adjusted parameters should be used instead.
Inputs
Results
Daily ET₀
5.16 mm/day
Weekly ET₀
36.1 mm/week
Figures current as of 1998. Source: Allen, R.G., Pereira, L.S., Raes, D., Smith, M. Crop Evapotranspiration — Guidelines for Computing Crop Water Requirements. FAO Irrigation and Drainage Paper 56. Food and Agriculture Organization of the United Nations, Rome, 1998.
How to Use This Calculator
- Enter Mean Temperature, Relative Humidity, and Wind Speed.
- Set Solar Radiation.
- Review Daily ET₀ (mm/day) and Weekly ET₀ (mm/week).
- Use Monthly ET₀ (mm/month) and Annual ET₀ (est.) (mm/yr) to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Solar Radiation
| Solar Radiation | Daily ET₀ | Weekly ET₀ |
|---|---|---|
| 10 | 3.64 mm/day | 25.46 mm/week |
| 15 | 4.4 mm/day | 30.78 mm/week |
| 30 | 6.68 mm/day | 46.73 mm/week |
| 45 | 8.96 mm/day | 62.69 mm/week |
What each input means
- Mean Temperature
- Average daily air temperature at 2 m height in degrees Celsius
- Relative Humidity
- Mean daily relative humidity as a percentage (lower humidity = higher ET)
- Wind Speed
- Average wind speed at 2 m height in meters per second
- Solar Radiation
- Incoming solar radiation (10-15 = cloudy/winter, 25-35 = clear summer day)
What each result means
- Hargreaves (1975) ET (check)
- Independent cross-check using Hargreaves' original 1975 radiation-based equation -- not the better-known 1985 Hargreaves-Samani temperature-range equation, which uses a different formula.
How this is calculated
Formula
ET₀ = [0.408ΔRn + γ(900/(T+273))u₂(es-ea)] / [Δ + γ(1+0.34u₂)]Worked example, using the default values
- Identify Input Parameters4 parametersMean Temperature = 25, Relative Humidity = 50, Wind Speed = 2, Solar Radiation = 20 = 4 input(s) provided
- Calculate Daily ET₀Daily ET₀5.16 = 5.16
- Calculate Weekly ET₀Weekly ET₀36.1 = 36.1
- Calculate Monthly ET₀Monthly ET₀154.7 = 154.7
- Calculate Annual ET₀Annual ET₀1882 = 1882
Figures and sources
- FAO Penman-Monteith reference evapotranspiration (ET0) method (1998) — Allen, R.G., Pereira, L.S., Raes, D., Smith, M. Crop Evapotranspiration — Guidelines for Computing Crop Water Requirements. FAO Irrigation and Drainage Paper 56. Food and Agriculture Organization of the United Nations, Rome, 1998.
Engine last updated . Checked against 4 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
What does 'reference' evapotranspiration mean, and how is it different from my actual crop's water use?
Reference ET (ET₀) models a specific, standardized surface — conceptually a well-watered, actively growing short grass — rather than your actual crop, so it isolates the effect of weather (temperature, humidity, wind, and radiation) from the effect of the crop itself. To estimate actual crop water use, irrigation planners multiply ET₀ by a crop coefficient (Kc) that varies by crop type and growth stage — a young seedling and a mature, full-canopy crop of the same species have very different Kc values even under identical weather.
Why does lower humidity increase evapotranspiration?
Evapotranspiration is driven by the vapor pressure deficit — the gap between how much moisture the air could hold at saturation and how much it actually holds. Drier air has a larger gap, so it can absorb more water vapor before reaching saturation, which pulls more moisture from the soil and plant surfaces through evaporation and transpiration; this is why arid, low-humidity climates generally show higher ET₀ than humid ones at the same temperature.
Is this the same formula used for official irrigation scheduling and water-rights calculations?
It's based on the same FAO Penman-Monteith standard equation used in official agricultural water management (FAO-56), but this calculator uses a simplified net-radiation estimate and a fixed sea-level psychrometric constant rather than the full method's more detailed radiation balance and elevation-adjusted parameters. For casual irrigation planning this tracks the real relationship well; for anything requiring a defensible, standards-compliant ET₀ figure, use the full FAO-56 method with your site's actual elevation and measured or properly interpolated radiation data.
Why does the calculator show a Hargreaves estimate alongside the Penman-Monteith result?
Hargreaves' original 1975 radiation-based formula is a simpler alternative ET₀ equation that needs only temperature and solar radiation, making it useful as an independent cross-check when you're uncertain about your humidity or wind speed inputs. (This is a different, earlier formula than the better-known 1985 Hargreaves-Samani equation, which instead uses the daily temperature range and extraterrestrial radiation.) If the two methods diverge substantially, it's often worth double-checking your input values, since Penman-Monteith is generally considered the more physically complete and accurate of the two when good weather data is available.
Does the Estimated Monthly ET chart reflect my actual location's seasons?
No — this calculator has no location, latitude, or date input, so the monthly chart applies a generic sinusoidal seasonal shape (peaking in July, troughing in January) to the single daily ET value calculated from your inputs, purely to illustrate what a typical Northern Hemisphere seasonal pattern looks like. It is backwards for the Southern Hemisphere and not meaningful if your inputs represent a single point-in-time reading rather than a full year's typical conditions. The Daily, Weekly, Monthly, and Annual ET₀ figures above the chart are the actual calculated results from your entered values and don't carry this assumption.
Related Calculators
The questions that sit next to this one — chosen by subject, including calculators filed under a different category.
Water Budget Calculator
Calculate the water balance for a watershed or region. Determine storage change from precipitation, evapotranspiration, runoff, and groundwater outflow.
HydrologyGroundwater Recharge
Estimate annual groundwater recharge from precipitation, runoff coefficient, and evapotranspiration using the water balance method.
Crop FarmingIrrigation Scheduling Calculator
Determine when and how much to irrigate based on evapotranspiration rate, current soil moisture, root depth, and soil water-holding capacity.
IrrigationWater Budget Calculator
Calculate seasonal irrigation water needs using Blaney-Criddle evapotranspiration, crop coefficients, and rainfall data.
HydrologyDam Spillway Design
Calculate spillway discharge capacity using the weir equation. Determine flow rate, approach velocity, and energy dissipation for dam spillway design.
More in Environment, Weather & Climate.