Aphid Infestation Score Calculator
Calculate the economic injury level (EIL) and economic threshold (ET) to determine when pest control treatment is cost-justified.
About this calculator
This calculator implements the Economic Injury Level (EIL), the foundational decision rule of Integrated Pest Management, originally formalized by entomologists Vernon M. Stern, Ray F. Smith, Robert van den Bosch, and Kenneth S. Hagen in their 1959 Hilgardia paper "The Integrated Control Concept": EIL = C / (V × I × D × K).
The idea is to find the pest density at which the dollar value of the yield loss the pest would cause exactly equals the dollar cost of controlling it — below that density, treating costs more than the damage it prevents, and above it, treating pays for itself. Control cost (C) is the price of the intervention per acre; crop value (V) converts yield loss into dollars; injury per pest (I) is how much yield each individual pest destroys; damage per injury (D) translates injury units into a proportional yield loss; and treatment efficacy (K) accounts for the fact that no treatment kills 100% of the pest population, so a less effective treatment needs a lower EIL to still be worth applying. Because growers need to act before a population actually reaches the EIL — treatment takes time to apply and to work — this calculator also reports the Economic Threshold (ET), conventionally set at 75% of the EIL, along with where your current scouted density sits relative to both, and the net dollar benefit of treating right now.
Inputs
Results
Economic Injury Level (pests/sample)
3,529.41
Economic Threshold (pests/sample)
2,647.06
Figures current as of 1959. Source: Stern, V.M., Smith, R.F., van den Bosch, R., & Hagen, K.S. (1959). "The Integrated Control Concept." Hilgardia, 29(2), 81-101.
How to Use This Calculator
- Enter Control cost ($/acre), Crop value ($/unit yield), and Injury per pest (yield units).
- Set Damage coefficient (0-1), Treatment efficacy (0-1), and Current pest density (per sample).
- Review Economic Injury Level (pests/sample) and Economic Threshold (pests/sample).
- Use Current density as % of EIL and Treatment recommended to inform your decision.
How the result changes with Crop value ($/unit yield)
| Crop value ($/unit yield) | Economic Injury Level (pests/sample) | Economic Threshold (pests/sample) |
|---|---|---|
| 2.5 | 7,058.82 | 5,294.12 |
| 3.75 | 4,705.88 | 3,529.41 |
| 7.5 | 2,352.94 | 1,764.71 |
| 13 | 1,357.47 | 1,018.1 |
What each input means
- Control cost ($/acre)
- Cost of pesticide application per acre (product + application).
- Crop value ($/unit yield)
- Market value per unit of produce (bushel, lb, etc.).
- Injury per pest (yield units)
- Yield loss units caused by one pest individual (e.g., 0.02 bushels per aphid).
- Damage coefficient (0-1)
- Proportional yield loss per injury unit. Higher = more destructive pest.
- Treatment efficacy (0-1)
- Proportion of pest population killed by treatment (0.85 = 85% kill rate).
- Current pest density (per sample)
- Current average pest count per sample unit from field scouting.
What each result means
- Economic Injury Level (pests/sample)
- Pest density where crop damage cost equals control cost. Treatment at this level breaks even.
- Economic Threshold (pests/sample)
- Action threshold (75% of EIL) — treat at this level to prevent reaching EIL.
- Current density as % of EIL
- How close current pest levels are to the economic injury level.
- Treatment recommended
- Yes if current density has reached the economic threshold (75% of EIL); No if it hasn't.
- Current yield loss value ($/acre)
- Estimated dollar value of yield loss at the current pest density.
- Net benefit of treatment ($/acre)
- Positive value means treatment is economically justified at current pest density.
How this is calculated
Worked example, using the default values
- Identify Input Parameters6 parametersControl cost ($/acre) = 15, Crop value ($/unit yield) = 5, Injury per pest (yield units) = 0.02, Damage coefficient (0-1) = 0.05, Treatment efficacy (0-1) = 0.85, Current pest density (per sample) = 20 = 6 input(s) provided
- Calculate Economic Injury LevelEconomic Injury Level = controlCost / denominator3529.41 = 3529.41
- Calculate Economic ThresholdEconomic Threshold = eil * 0.752647.06 = 2647.06
- Calculate Current density as % of EILCurrent density as % of EIL = (currentDensity / eil) * 1000.57 = 0.57
- Calculate Treatment recommendedTreatment recommended = currentDensity >= et ? "Yes" : "No"No — below threshold = No — below threshold
Figures and sources
- Economic Injury Level (EIL) formula, foundational to Integrated Pest Management (1959) — Stern, V.M., Smith, R.F., van den Bosch, R., & Hagen, K.S. (1959). "The Integrated Control Concept." Hilgardia, 29(2), 81-101.
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
What's the difference between the Economic Injury Level and the Economic Threshold?
The Economic Injury Level (EIL) is the pest density at which the value of crop damage exactly equals the cost of control — the true economic break-even point, as originally defined in Stern, Smith, van den Bosch, and Hagen's 1959 paper "The Integrated Control Concept." The Economic Threshold (ET) is set lower, conventionally at 75% of the EIL, because a grower needs a buffer to scout, decide, and apply treatment before the population actually climbs to the EIL and starts costing more than treatment would.
Why does treatment efficacy affect the Economic Injury Level instead of just the treatment decision?
Treatment efficacy sits in the denominator of the EIL formula, so a less effective treatment (lower kill rate) produces a lower EIL, meaning you'd need to treat at a lower pest density to break even. That's because a weak treatment leaves more of the damaging population alive, so it prevents less loss per dollar spent — the calculator accounts for this by requiring intervention earlier when the treatment itself is less reliable.
Can the Economic Injury Level be lower than my current pest density and treatment still not be worth it?
No — by definition, once current density exceeds the EIL, the value of yield loss already exceeds the cost of control, so treating pays for itself going forward. What can happen is a large gap between a low ET and a much higher EIL; in that zone treatment is optional rather than urgent, since you're above the action threshold but haven't yet reached the true break-even density.
Why does raising crop value lower the Economic Injury Level rather than raise it?
Crop value (V) is in the denominator of EIL = C / (V × I × D × K), so a higher-value crop reaches economic break-even at a lower pest density — each individual pest is now destroying more dollars of value, so it takes fewer pests to justify the same control cost. This is why high-value specialty crops are typically scouted and treated far more aggressively than low-value commodity crops for the same pest pressure.
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