Calculate crop evapotranspiration (ETc), net and gross irrigation depth, and field water volume from local ETo or FAO-56 weather data.
Designed for field crops, orchards, vegetables, greenhouses, turf, irrigation planning, and water budgeting. All entered values stay in your browser.
Plan crop water
Privacy: calculations run locally. Field size, weather, crop coefficient, and rainfall values are not transmitted or stored by this tool.
Water to apply
Gross irrigation requirement—Enter valid inputs to calculate.
Reference ET (ETo)—
Daily crop ET (ETc)—
Weekly crop ET—
Selected-period crop ET—
Net irrigation depth—
Gross applied depth—
Gross system volume—
Water per area—
Operational estimate—
Water balance
Crop use
—
Rain credit
—
System loss
—
Applied
—
Enter valid inputs to calculate the crop water requirement.
How the Calculator Works
The calculator obtains daily reference evapotranspiration (ETo), applies a crop- and stage-specific coefficient (Kc), credits effective rainfall, and divides the remaining root-zone need by system efficiency. Area converts the applied depth to volume. Seasonal mode totals four stages and linearly interpolates Kc during crop development and late season.
FAO-56 values are transferable starting points, not field prescriptions. Local coefficients can differ with climate, variety, planting density, canopy height, soil wetting, and management.
Formulas and Assumptions
ETc = Kc × ETo
Crop water use for period = ETc × number of days
Net irrigation depth = max(0, crop water use − effective rainfall)
Gross irrigation depth = net irrigation depth ÷ irrigation efficiency
For daily calculations, soil heat flux G is zero and grass-reference albedo is 0.23. Actual vapor pressure can use mean RH, RHmax/RHmin, or dew point. Sunshine duration uses the FAO-56 Angstrom relationship with default coefficients as = 0.25 and bs = 0.50. Wind measured above or below 2 m is converted with FAO-56 Eq. 47.
Practical Planning Guidance
Where can I obtain local ETo?
Look first for agricultural weather networks, irrigation districts, university extension services, national meteorological agencies, or a quality-controlled on-farm station. Match the reference type and time step; this tool expects FAO grass-reference ETo.
How should I choose a period?
Use one to seven days for near-term operations when ETo, rain, and Kc are reasonably stable. Use seasonal mode when crop stage and weather change. A long-term average day can support preliminary design, but it should not stand in for a multi-day forecast or observed water balance.
How is effective rainfall estimated?
Known effective rainfall is preferred. The estimator normalizes rainfall to a 30-day amount, applies the USDA-SCS monthly relationship, then scales the credit back to the selected duration. Runoff, root-zone storage, soil condition, storm intensity, and deep percolation are not modeled, so the displayed credit is editable.
Typical irrigation-efficiency planning ranges
Drip 85–95%, subsurface drip 90–95%, center pivot 75–90%, sprinkler 65–85%, and surface/furrow 45–70%. These are defensible planning ranges, not guaranteed field performance; pressure, maintenance, wind, runoff, and distribution uniformity matter.
Loadable Worked Examples
Mid-season maize — center pivot
Metric, 10 ha. FAO-56 Table 12 Kcmid = 1.20; ETo 5.5 mm/day; 7 days; 5 mm effective rain; 85% efficiency.
ETc = 5.5 × 1.20 = 6.60 mm/day ETc₇ = 6.60 × 7 = 46.20 mm Net = 46.20 − 5 = 41.20 mm Gross = 41.20 ÷ 0.85 = 48.47 mm Volume = 0.04847 × 100,000 = 4,847 m³
Mid-season vegetables — drip
US customary, 12 acres. FAO-56 Table 12 fresh-market tomato Kcmid = 1.15; ETo 0.24 in/day; 5 days; 0.20 in effective rain; 90% efficiency.
ETc = 0.24 × 1.15 = 0.276 in/day ETc₅ = 0.276 × 5 = 1.38 in Net = 1.38 − 0.20 = 1.18 in Gross = 1.18 ÷ 0.90 = 1.311 in Volume = 1.311 × 27,154 × 12 ≈ 427,200 US gal
Complete FAO-56 weather example
45.72°N, 200 m, 15 July; Tmax 26.6°C, Tmin 14.8°C, RH 60%, Rs 22 MJ/m²/day, and u₂ 2 m/s. The tool derives day 196 and calculates every radiation and vapor-pressure term before ETc.
ETo = [0.408ΔRn + γ(900/(T+273))u₂(es−ea)] ÷ [Δ+γ(1+0.34u₂)]
FAO-56 Crop Coefficient Reference
Crop
Initial
Mid
Late/end
Maize (grain)
0.30
1.20
0.35
Wheat
0.30
1.15
0.25
Tomato, fresh market
0.60
1.15
0.80
Potato
0.50
1.15
0.75
Alfalfa hay
0.40
1.20
1.15
Apple/cherry/pear, active ground cover
0.50
1.20
0.95
Grapes
0.30
0.85
0.45
Turf, cool-season
0.90
0.95
0.95
General single-coefficient values from FAO-56 Table 12. Development is interpolated from Kcini to Kcmid; late-season values move from Kcmid to Kcend.
FAO-56 Symbols and Units
Symbol
Meaning
Unit
ETo
Reference evapotranspiration
mm/day
ETc
Crop evapotranspiration
mm/day or period
Kc
Crop coefficient
dimensionless
Δ
Slope of saturation vapor-pressure curve
kPa/°C
Rn
Net radiation at crop surface
MJ/m²/day
G
Soil heat flux density
MJ/m²/day
γ
Psychrometric constant
kPa/°C
T
Mean daily air temperature at 2 m
°C
u₂
Wind speed adjusted to 2 m
m/s
es
Saturation vapor pressure
kPa
ea
Actual vapor pressure
kPa
Ra
Extraterrestrial radiation
MJ/m²/day
Rso
Clear-sky radiation
MJ/m²/day
Rs
Incoming solar radiation
MJ/m²/day
n / N
Actual / maximum daylight hours
hours / hours
FAQs
What is the difference between ETo and ETc?
ETo describes a standardized, well-watered grass reference. ETc = Kc × ETo estimates water used by a particular well-watered crop. Actual ET can be different when water stress, salinity, disease, incomplete cover, or field conditions depart from standard assumptions.
Which crop coefficient should I use?
Use a crop coefficient for the crop, growth stage, climate, and management method represented by the ETo data. Kc changes during establishment, development, mid-season, and late season. Prefer locally calibrated values or FAO-56 values adjusted for local conditions.
Why is irrigation efficiency included?
Not all applied water reaches the crop root zone. Dividing the net irrigation need by efficiency estimates the larger gross depth that the system must apply.
Should total rainfall or effective rainfall be entered?
Enter effective rainfall: the portion stored in the root zone and available to the crop. Runoff, deep drainage, interception, and rainfall timing can make effective rainfall lower than measured rainfall.
What weather data does FAO-56 Penman–Monteith need?
This daily implementation uses maximum and minimum temperature, humidity or dew point, wind speed adjusted to 2 m, measured solar radiation or sunshine duration, latitude, elevation, and calendar date. Weather data should be quality controlled and representative of the site.
Does this calculator create a complete irrigation schedule?
No. It estimates crop water use and water depth for a selected period. A field schedule should also consider root-zone storage, allowable depletion, irrigation capacity, leaching needs, runoff, soil moisture, and forecast rainfall.
Are weather and field inputs stored?
No. All calculations run locally in the browser, and the calculator does not send or store entered field or weather values.
Methodology, Review, and Validation
Calculation version 2.0 Last substantive method review: . Method maintained by Starlight Robotics; no independent technical reviewer is claimed.
The daily weather route implements FAO-56 Chapter 2 Eq. 6; Chapter 3 Eqs. 11–13, 17, 21, 35–39, and 47; and Chapter 4 Eqs. 48 and 50. Crop ET uses Chapter 5 Eq. 58 and Table 12. Seasonal development and late-season Kc are linearly interpolated following the FAO stage curve. Simplifications: daily G = 0; no climate adjustment to Kcmid or Kcend; no soil-water stress coefficient, dual Kc, capillary rise, leaching, or carry-forward rain storage.
Validation case
Expected
Calculator check
FAO-56 Example 17, Bangkok monthly mean daily ETo
4.56 mm/day
Agreement target within 0.1 mm/day when the published inputs and monthly radiation terms are used; daily rounding and radiation-path choices can differ.
Maize example on this page
48.47 mm gross; about 4,847 m³
Internal arithmetic check to within 0.02 mm and 2 m³ after display rounding.
Unit conversion
25.4 mm = 1 in; 1 acre-ft = 1,233.4818 m³
Exact conversion constants used internally, with display rounding only.
This calculator provides an agronomic estimate under the selected assumptions. Use local crop coefficients, measured weather, soil-moisture observations, audited irrigation performance, water-quality requirements, pump and system limits, and applicable allocation or watering rules before operating an irrigation system. Weather-based ETo can differ from field water use when crops are stressed, diseased, sparse, saline, or otherwise outside standard conditions.