Description
Return canopyWidth+max(0,treeHeight-cropHeight)/tan(altitude).
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 canopyWidth+max(0,treeHeight-cropHeight)/tan(altitude).
When to use this tool
Use Tree Crop Row Shading Width Term when checking the stated ideal tree-row, shade, buffer or area convention.
How to use the tool and how it works
- Enter canopyWidth, treeHeight, cropHeight, solarAltitude. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read projectedWidth. Use the output convention below.
Require nonnegative canopy width and solar altitude strictly between 0 and π/2 radians. Return canopyWidth+max(0,treeHeight-cropHeight)/tan(altitude).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| canopyWidth | Canopy Width | Required. Finite number; minimum 0. |
| treeHeight | Tree Height | Required. Finite number. |
| cropHeight | Crop Height | Required. Finite number. |
| solarAltitude | Elevation angle above the horizon, strictly between zero and π/2 radians. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| projectedWidth | Projected Width | Required. Finite number. |
{
"input": {
"canopyWidth": 2,
"treeHeight": 5,
"cropHeight": 1,
"solarAltitude": 0.7853981633974483
},
"output": {
"projectedWidth": 6.000000000000001
}
}Limitations and assumptions
- This is an aligned ideal shadow-width term; sun azimuth, crown transmission and changing illumination are omitted.
- 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
Similar or alternative tools
- Alley Width Sun Angle Shadow Gap
Return height/tan(altitude) and max(0,alleyWidth-shadowLength).
- Shelterbelt Porosity One Opening Weight
Return sum(area*transparency) and divide by totalArea.