Diameter Height Allometry Calculator
Extract actual paired diameter-height power allometry and diagnostics, not predefined Näslund height curve or universal species equation. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
A diameter–height relationship can be represented by a fitted power law over observed trees.
A diameter–height relationship can be represented by a fitted power law over observed trees.1
The prefactor depends on measurement units, and the fit does not establish a general species-independent growth law. Use this tool to calculate diameter height allometry from the supplied measurements and assumptions.
When to use Diameter Height Allometry Calculator
Use this tool to calculate diameter height allometry from the supplied measurements and assumptions. Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.
How to use Diameter Height Allometry Calculator and understand its results
- Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.
- Enter observedTreeDiametersCm, observedTreeHeightsM, using the field meanings and rules below, then run the tool.
- Read fittedDiameterHeightExponent, fittedHeightPrefactor, allometryFitRSquared. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedTreeDiametersCm | Observed tree diameters cm | list of number | Required |
| observedTreeHeightsM | Observed tree heights m | list of number | Required |
Enter at least two aligned positive predictor and response measurements. Fit natural-log response against natural-log predictor by ordinary least squares with nonzero predictor variance. Return exponent=slope, prefactor=exp(intercept) and log-space R². The predictor and response units determine the prefactor; no fixed exponent or reference population is installed.
response=prefactor×predictor^exponent; exponent=logFitSlope; prefactor=exp(logFitIntercept) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| fittedDiameterHeightExponent | Fitted Diameter Height Exponent; follow the units, sign, ordering and evidence convention stated above | number |
| fittedHeightPrefactor | Fitted Height Prefactor; follow the units, sign, ordering and evidence convention stated above | number |
| allometryFitRSquared | Allometry Fit R Squared; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"observedTreeDiametersCm": [
10,
20,
40
],
"observedTreeHeightsM": [
5,
10,
20
]
},
"output": {
"fittedDiameterHeightExponent": 1.0000000000000002,
"fittedHeightPrefactor": 0.49999999999999994,
"allometryFitRSquared": 1
}
}Limitations and assumptions
The prefactor depends on measurement units, and the fit does not establish a general species-independent growth law. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Yield Class Lookup for this related task: A yield class refers to productivity under a particular species, region and management reference.
Use Bavarian Volume Table Lookup when its separate inputs and assumptions fit the question: Regional timber-volume conventions associate measurement factors with a named reference method.
References
-
Diameter Height Allometry Calculator — tool.io
Similar or alternative tools
- Yield Class Lookup
A yield class refers to productivity under a particular species, region and management reference.
- Bavarian Volume Table Lookup
Regional timber-volume conventions associate measurement factors with a named reference method.