Irrigation Water Calculator

Calculate gross irrigation requirements, water volumes, and flow rates for any crop and field.

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Planning how much water to apply — and when — is one of the most consequential decisions in crop production. Too little causes yield stress; too much wastes a scarce resource, leaches nutrients past the root zone, and raises pumping costs. The Irrigation Water Calculator uses the internationally accepted FAO-56 framework to compute your Gross Irrigation Requirement (GIR) in mm/day, convert it to a daily water volume in cubic metres and litres, and size the flow rate your pump or canal must deliver.

How it works

The calculation follows three steps.

Step 1 — Crop water demand (ETc). Reference evapotranspiration (ET0) describes how fast a well-watered grass reference crop loses water under local climate conditions. You can enter a known ET0 value from a weather station or the FAO CLIMWAT database, or switch to Calculate mode and let the tool estimate it using the Hargreaves-Samani (1985) formula:

ET0 = 0.0023 × Ra × (Tmean + 17.8) × (Tmax − Tmin)^0.5

where Ra is extraterrestrial radiation (MJ/m²/day) derived from your latitude and the day of year. Multiplying ET0 by the crop coefficient Kc gives actual crop evapotranspiration: ETc = ET0 × Kc. Kc values are taken from FAO Paper 56 and represent mid-season peak demand.

Step 2 — Net irrigation need. Effective rainfall (the portion of precipitation retained in the root zone) partly satisfies crop demand. Net irrigation requirement = ETc − Re.

Step 3 — Gross Irrigation Requirement. No irrigation system applies water perfectly. Application efficiency Ea (fraction) accounts for losses to runoff, drift, and deep percolation:

GIR (mm/day) = (ETc − Re) / Ea

Volume and flow rate follow from a simple unit conversion: one millimetre of water over one hectare equals exactly 10 m³. Volume (m³/day) = GIR × area (ha) × 10. Dividing by daily operating hours gives the required pump or canal flow rate in m³/h and L/h.

Worked example

A 3 ha maize field in a semi-arid region. Weather data give ET0 = 7 mm/day. Maize mid-season Kc = 1.20, so ETc = 7 × 1.20 = 8.4 mm/day. Effective rainfall = 1.5 mm/day. Net irrigation need = 8.4 − 1.5 = 6.9 mm/day. The farm uses a sprinkler system at 75% efficiency:

GIR = 6.9 / 0.75 = 9.2 mm/day

Daily volume = 9.2 × 3 × 10 = 276 m³/day (276,000 litres). Running the system 10 hours per day requires a flow rate of 27.6 m³/h (7.7 L/s). Over a 90-day grain-fill season that totals roughly 24,840 m³ — enough to fill about ten Olympic-sized swimming pools.

Switching to drip irrigation (90% efficiency) cuts GIR to 7.7 mm/day, reducing the seasonal total to around 20,800 m³ — a saving of more than 4,000 m³ per season on this field alone.

Formula note

All formulae are from or consistent with FAO Irrigation and Drainage Paper 56 (Allen, Pereira, Raes and Smith, 1998). The Hargreaves-Samani ET0 estimate is known to over-predict in humid conditions and slightly under-predict in windy arid zones; when reliable psychrometric and radiation data are available, use the full Penman-Monteith equation instead. Kc values used here are mid-season; consult FAO-56 Table 12 for initial and end-season values to build a full seasonal irrigation schedule.

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