Reineke Slope Calculator
Extract actual Reineke log density/log quadratic DBH slope instead of fixed 1.605 stand density exponent or self-thinning stem-mass slope. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
A Reineke-style density relationship can be fitted as a power law between diameter and stem density.
A Reineke-style density relationship can be fitted as a power law between diameter and stem density.1
The fitted exponent describes the submitted observations rather than imposing a universal slope. Use this tool to calculate reineke slope from the supplied measurements and assumptions.
When to use Reineke Slope Calculator
Use this tool to calculate reineke slope 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 Reineke Slope Calculator and understand its results
- Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.
- Enter observedQuadraticDbhCm, observedStandDensityHa, using the field meanings and rules below, then run the tool.
- Read fittedReinekeDensityDbhExponent, reinekeFitRSquared. 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 |
|---|---|---|---|
| observedQuadraticDbhCm | Observed quadratic dbh cm | list of number | Required |
| observedStandDensityHa | Observed stand density ha | 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 and log-space R²; the helper computes a prefactor but this tool does not return it. 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 |
|---|---|---|
| fittedReinekeDensityDbhExponent | Fitted Reineke Density Dbh Exponent; follow the units, sign, ordering and evidence convention stated above | number |
| reinekeFitRSquared | Reineke Fit R Squared; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"observedQuadraticDbhCm": [
10,
20,
40
],
"observedStandDensityHa": [
400,
100,
25
]
},
"output": {
"fittedReinekeDensityDbhExponent": -2.0000000000000004,
"reinekeFitRSquared": 1
}
}Limitations and assumptions
The fitted exponent describes the submitted observations rather than imposing a universal slope. 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
-
Reineke Slope 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.