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Crop Yield Price One Sensitivity Term Tool

Calculate crop yield price one sensitivity term from explicit caller-supplied inputs.

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Description

Return their product, area*yield as priceDerivative and area*price as yieldDerivative.

Agricultural economic summaries distinguish physical quantities, per-area yields, prices, covariance and index weights. One revenue or weighted-price contribution is not a complete index, profit account or estimated demand response. Nominal and imputed values require a consistent currency, quantity and period basis.

Return their product, area*yield as priceDerivative and area*price as yieldDerivative.

When to use this tool

Use Crop Yield Price One Sensitivity Term when checking the stated supplied value, index-weight or economic-response contribution.

How to use the tool and how it works

  1. Enter area, yieldPerArea, price. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read revenue, priceDerivative, yieldDerivative. Use the output convention below.

Require nonnegative area, yield per area and output price. Return their product, area*yield as priceDerivative and area*price as yieldDerivative.1

Input fieldMeaning and unitsAccepted input
areaAreaRequired. Finite number; minimum 0.
yieldPerAreaYield Per AreaRequired. Finite number; minimum 0.
priceCaller-supplied currency per matching quantity unit; no market lookup.Required. Finite number; minimum 0.
Output fieldInterpretationReturned shape
revenueRevenueRequired. Finite number.
priceDerivativePartial revenue derivative with respect to price: area*yield.Required. Finite number.
yieldDerivativePartial revenue derivative with respect to yieldPerArea: area*price.Required. Finite number.
json
{
  "input": {
    "area": 10,
    "yieldPerArea": 4,
    "price": 200
  },
  "output": {
    "revenue": 8000,
    "priceDerivative": 40,
    "yieldDerivative": 2000
  }
}

Limitations and assumptions

  • These are partial derivatives holding other inputs fixed, not total effects or a causal production model.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified farm/market data and a complete appropriate accounting or statistical model for economic estimates and decisions.

References

  1. Calculation and input contract: agricultural-economics/crop-yield-price-one-sensitivity-term — tool.io

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