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Intercrop Replacement Density Budget Tool

Relative-density accounting that preserves additive designs above a replacement total of one.

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Description

Multiply each fraction by its reference density and return firstFraction+secondFraction as replacementTotal.

Agroecological material and density summaries depend on dry/wet mass, seed-component purity, nutrient transformations and sole-crop reference densities. An arithmetic contribution evaluates supplied assumptions without predicting emergence, nutrient availability or a whole-system ecological outcome.

Multiply each fraction by its reference density and return firstFraction+secondFraction as replacementTotal.

When to use this tool

Use Intercrop Replacement Density Budget when checking the stated residue, seed, nutrient or reference-density basis.

How to use the tool and how it works

  1. Enter firstFraction, secondFraction, firstSoleDensity, secondSoleDensity. 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 firstDensity, secondDensity, replacementTotal. Use the output convention below.

Require nonnegative supplied fractions and sole-crop densities. Multiply each fraction by its reference density and return firstFraction+secondFraction as replacementTotal.1

Input fieldMeaning and unitsAccepted input
firstFractionNonnegative reference-density multiplier; this contract does not cap it at one. Unit: 1.Required. Finite number; minimum 0.
secondFractionSecond Fraction Unit: 1.Required. Finite number; minimum 0.
firstSoleDensityFirst Sole DensityRequired. Finite number; minimum 0.
secondSoleDensitySecond Sole DensityRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
firstDensityFirst DensityRequired. Finite number.
secondDensitySecond DensityRequired. Finite number.
replacementTotalSum of supplied density multipliers; need not be one.Required. Finite number.
json
{
  "input": {
    "firstFraction": 0.5,
    "secondFraction": 0.5,
    "firstSoleDensity": 100,
    "secondSoleDensity": 200
  },
  "output": {
    "firstDensity": 50,
    "secondDensity": 100,
    "replacementTotal": 1
  }
}

Limitations and assumptions

  • Fractions are not capped at one and need not sum to one; the tool does not impose a replacement-design standard.
  • 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 representative field/laboratory measurements and a complete suitable agroecological model for management decisions and uncertainty.

References

  1. Calculation and input contract: agroecology/intercrop-replacement-density-budget — tool.io

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