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Nutrient Use Efficiency Calculator

NUE from crop uptake, applied nutrients, and yield.

About this calculator

This calculator computes four standard agronomic nitrogen-use-efficiency metrics from a fertilized-versus-unfertilized comparison, the same paired-plot design used in real N-rate research trials. Agronomic Efficiency (AE) is the yield *increase* attributable to fertilizer divided by nitrogen applied — it isolates fertilizer's marginal payoff, not total output. Partial Factor Productivity (PFP), by contrast, divides *total* fertilized yield by N applied, so it reflects everything driving yield (fertilizer plus soil-supplied N, genetics, weather) and will always read higher than AE. Recovery Efficiency (RE) estimates what percentage of applied N actually ends up in the plant: the calculator derives total N uptake for both plots by first estimating total biomass from grain yield and harvest index (biomass = grain ÷ harvest index), splitting out the stover fraction, then applying separate N-content percentages to grain and stover before summing — the difference in uptake between fertilized and unfertilized, divided by N applied, is RE.

Physiological Efficiency divides the yield response by the *uptake* difference rather than N applied, isolating how efficiently the plant converts absorbed nitrogen into grain, independent of how much nitrogen actually made it into the plant. A return-on-investment figure is also included using fixed placeholder prices ($0.55/lb N, $4.50/bu corn) baked into the code — treat that one figure as illustrative only and recompute manually with your actual current prices. All four core metrics depend heavily on accurate check-strip yield data and reasonable harvest-index and tissue-N assumptions; garbage-in on any of those inputs propagates through every downstream metric.

Inputs

%
%

Results

Agronomic Efficiency (bu/lb N)

0.5

Recovery Efficiency (%)

58.8%

Partial Factor Productivity (bu/lb N)1.13
Physiological Efficiency (lbs grain/lb N uptake)47.6
Internal Utilization (lbs grain/lb N uptake)47.6
Agronomic Efficiency (lbs grain/lb N)28
PFP (lbs grain/lb N)63
N uptake, fertilized (lbs/acre)211.7
N uptake, unfertilized (lbs/acre)117.6
Yield response (bu/acre)80
Return on N investment (%)309.1%
How to Use This Calculator
  1. Enter Fertilized Yield (bu/acre) and Unfertilized Yield (bu/acre) from field trial data or check strips.
  2. Set N Applied (lbs/acre), Grain N Content (%), Stover N Content (%), Harvest Index, and Grain Test Weight.
  3. Review Agronomic Efficiency (bu/lb N) — target 0.3–0.5 bu/lb N for corn.
  4. Check Recovery Efficiency (%) — the percentage of applied N actually taken up by the crop (good: 50–70%).
  5. Use Partial Factor Productivity and Physiological Efficiency to benchmark your management versus regional averages.

How the result changes with Fertilized yield (bu/acre)

Fertilized yield (bu/acre)Agronomic Efficiency (bu/lb N)Recovery Efficiency (%)
90-0.060%
1350.2225.7%
2701.06125%
4502.19257.3%

What each input means

Fertilized yield (bu/acre)
Crop yield with fertilizer applied.
Unfertilized yield (bu/acre)
Yield from unfertilized check strip or control.
N applied (lbs/acre)
Total pounds of nitrogen applied per acre.
Grain N content (%)
Nitrogen concentration in harvested grain (corn ~1.4%, wheat ~2.0%).
Stover N content (%)
Nitrogen concentration in crop residue/stover.
Harvest index
Grain fraction of total aboveground biomass (corn ~0.50, wheat ~0.45).
Test weight (lbs/bu)
Grain test weight (corn = 56, wheat = 60, soybeans = 60).

What each result means

Agronomic Efficiency (bu/lb N)
Bushels of yield increase per pound of N applied. Target: 0.3-0.5 bu/lb for corn.
Recovery Efficiency (%)
Percentage of applied N recovered in the crop. Good: 50-70%.
Partial Factor Productivity (bu/lb N)
Total yield per unit of N applied (not just the response).
Physiological Efficiency (lbs grain/lb N uptake)
Grain produced per unit of N actually taken up by the crop.
Internal Utilization (lbs grain/lb N uptake)
Total grain per unit of crop N uptake in the fertilized treatment.
Agronomic Efficiency (lbs grain/lb N)
Pounds of grain increase per pound of N applied.
PFP (lbs grain/lb N)
Total grain weight per pound of N applied.
N uptake, fertilized (lbs/acre)
Estimated total crop N uptake with fertilizer.
N uptake, unfertilized (lbs/acre)
Estimated total crop N uptake without fertilizer.
Yield response (bu/acre)
Yield difference between fertilized and unfertilized.
Return on N investment (%)
Estimated economic return (assumes $0.55/lb N, $4.50/bu grain).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Fertilized yield (bu/acre) = 180, Unfertilized yield (bu/acre) = 100, N applied (lbs/acre) = 160, Grain N content (%) = 1.4 = 7 input(s) provided
  2. Calculate Agronomic Efficiency
    Agronomic Efficiency = yieldResponse / nApplied
    0.5 = 0.5
  3. Calculate Recovery Efficiency
    58.8 = 58.8%
  4. Calculate Partial Factor Productivity
    Partial Factor Productivity = yieldFert / nApplied
    1.13 = 1.13
  5. Calculate Physiological Efficiency
    47.6 = 47.6

Engine last updated . Checked against 2 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

Why is Partial Factor Productivity always higher than Agronomic Efficiency?

Agronomic Efficiency divides only the yield increase attributable to fertilizer (fertilized yield minus unfertilized yield) by N applied, isolating fertilizer's marginal payoff. Partial Factor Productivity divides the entire fertilized yield by N applied, so it also credits soil-supplied nitrogen, genetics, and weather — everything that contributed to that total yield, not just the fertilizer response. Because total yield is always at least as large as the response, PFP will always read higher than AE for the same field.

How does the calculator estimate nitrogen uptake without a tissue test?

It backs out total plant biomass from grain yield divided by harvest index (biomass = grain ÷ harvest index), splits out the stover fraction as the remainder, then applies your entered grain N% and stover N% separately to each fraction and sums them. This is a standard agronomic approximation, but it's only as accurate as your harvest index and tissue-N percentage assumptions — both vary by hybrid, variety, and growing conditions.

What prices does 'Return on N Investment' use, and can I change them?

It uses fixed placeholder prices baked into the calculation — $0.55 per lb of N and $4.50 per bushel of corn — that aren't exposed as inputs you can edit. Because commodity and fertilizer prices swing constantly, treat this one figure as illustrative only and recompute the return manually using your actual current prices rather than relying on the number shown.

Why does harvest index matter so much to Recovery Efficiency if I only entered yield data?

Recovery Efficiency depends on the difference in total N uptake between the fertilized and unfertilized plots, and uptake is calculated from estimated total biomass, not just grain yield. Since biomass is derived by dividing yield by harvest index, an inaccurate harvest index scales your estimated stover tonnage — and therefore your estimated total N uptake — up or down, which shifts Recovery Efficiency even though the underlying yield data didn't change.

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