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Forest Garden Canopy Layer Overlap Term Tool

Calculate forest garden canopy layer overlap term from explicit caller-supplied inputs.

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Description

Return unique projection=first+second-overlap and layeredRatio=(first+second)/groundArea.

Agroforestry geometry separates row widths, root-zone intervals, canopy projections and repeated-strip area bases. Optical shade, optical porosity and a clear machinery corridor are different quantities. Ideal dimensions and supplied overlaps can support bookkeeping without establishing light conditions, aerodynamic shelter or safe access.

Return unique projection=first+second-overlap and layeredRatio=(first+second)/groundArea.

When to use this tool

Use Forest Garden Canopy Layer Overlap Term when checking the stated ideal tree-row, shade, buffer or area convention.

How to use the tool and how it works

  1. Enter firstArea, secondArea, overlap, groundArea. 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 uniqueProjection, layeredRatio. Use the output convention below.

Require positive ground area and nonnegative two layer areas with overlap bounded by each. Return unique projection=first+second-overlap and layeredRatio=(first+second)/groundArea.1

Input fieldMeaning and unitsAccepted input
firstAreaFirst AreaRequired. Finite number; minimum 0.
secondAreaSecond AreaRequired. Finite number; minimum 0.
overlapOverlapRequired. Finite number; minimum 0.
groundAreaGround AreaRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
uniqueProjectionUnique ProjectionRequired. Finite number.
layeredRatioSum of both layer projection areas/ground area, counting their overlap twice. Unit: 1.Required. Finite number.
json
{
  "input": {
    "firstArea": 60,
    "secondArea": 70,
    "overlap": 40,
    "groundArea": 100
  },
  "output": {
    "uniqueProjection": 90,
    "layeredRatio": 1.3
  }
}

Limitations and assumptions

  • The layered ratio counts both layers and can exceed one; the unique projection is not required to fit within groundArea.
  • 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 measured terrain and canopy geometry, appropriate light/flow models and qualified agricultural/engineering assessment for actual layouts and operations.

References

  1. Calculation and input contract: agroforestry/forest-garden-canopy-layer-overlap-term — tool.io

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