FIR

Agriculture

Fertilizer Input Rate Calculator

Balance nitrogen, phosphate, and potash requirements against nutrient credits and product analyses using a transparent DAP, urea, and potash blend.

Nutrient material balance

Meet N, P₂O₅, and K₂O targets without double-counting nitrogen supplied by DAP

The sequence assigns phosphate with DAP, credits its nitrogen, then supplies remaining nitrogen with urea and potash with muriate of potash.
Net crop N need148.8 kg/ha
DAP rate126.1 kg/ha
Urea rate after DAP N274.1 kg/ha
Potash rate125.0 kg/ha
Total product blend525.2 kg/ha
Total field product22,059 kg

Blend composition

Product mass and delivered nutrient balance

Product blocks show carrier mass; nutrient rails confirm delivered N, P₂O₅, and K₂O after credits.

Detailed calculation process

Assign multi-nutrient products first, then close the remaining nutrient gaps

General symbolic formulas

Nreq = max(N - CN,0)/ePreq = max(P - CP,0)DAP = Preq/aDPNDAP = DAP × aDNUrea = max(Nreq-NDAP,0)/aUMOP = max(K-CK,0)/aK

Credits are removed before product rates are calculated. DAP is sized to phosphate need, and its nitrogen contribution reduces the urea requirement.

Symbols and units

N, P, K nutrient targets (kg nutrient/ha)C available credits (kg/ha)e N recovery efficiency (decimal)a product nutrient analysis (decimal)DAP diammonium phosphate (kg/ha)Urea urea product (kg/ha)MOP muriate of potash (kg/ha)A field area (ha)

Worked substitution with current inputs

Nutrient and product ledger

ProductRate kg/haN suppliedP₂O₅ suppliedK₂O suppliedField total

Use steps

  1. Set targets from crop plan and soil test.
  2. Enter only available nutrient credits.
  3. Replace analyses with actual product labels.

Examples

Manure credit: raise available N only by the first-year available amount.

Different phosphate: this sequence must be recalculated for a product other than DAP.

Limitations

This arithmetic does not recommend nutrient targets or address placement, timing, salts, micronutrients, pH, regulations, blend compatibility, or maximum safe seed-row rates.

Fertilizer-rate FAQ

Why divide N by efficiency?

The applied plant-available requirement must be higher when only part of applied N is recovered.

Why is DAP calculated before urea?

DAP supplies both phosphate and nitrogen, so its N must be credited before closing the N balance.

Are P and K elemental?

No. Inputs and labels use the common fertilizer conventions P₂O₅ and K₂O.