Description
relativeMass = bodyMass/referenceMass; predictedRate = referenceRate*relativeMass^exponent.
Ecological growth and scaling models express a chosen relationship between population, area, body mass or occupied patches. Supplied rates and exponents are model assumptions; a finite step can leave the intended physical domain.
relativeMass = bodyMass/referenceMass; predictedRate = referenceRate*relativeMass^exponent.
When to use this tool
Use Ecological Metabolism Body Mass Exponent Term when checking one declared ecological growth or scaling term.
How to use the tool and how it works
- Enter referenceMass, referenceRate, bodyMass, exponent. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read relativeMass, predictedRate. Use the output convention below.
Require positive referenceMass and bodyMass and nonnegative referenceRate. relativeMass = bodyMass/referenceMass; predictedRate = referenceRate*relativeMass^exponent.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| referenceMass | Reference Mass | Required. Finite number; strictly above 0. |
| referenceRate | Reference Rate | Required. Finite number; minimum 0. |
| bodyMass | Body Mass | Required. Finite number; strictly above 0. |
| exponent | Exponent | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| relativeMass | Relative Mass | Required. Finite number. |
| predictedRate | Predicted Rate | Required. Finite number. |
{
"input": {
"referenceMass": 10,
"referenceRate": 4,
"bodyMass": 40,
"exponent": 0.5
},
"output": {
"relativeMass": 4,
"predictedRate": 8
}
}Limitations and assumptions
- Use one mass unit and the reference rate's time basis. The exponent is supplied, not an inferred universal metabolic law or species-specific calibration.
- 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 validated parameters, appropriate time steps and suitable data to assess a real population or extrapolation.
References
Similar or alternative tools
- Species Area Power One Scale Factor
areaFactor = (targetArea/knownArea)^exponent; predictedRichness = knownRichness*areaFactor.
- Lotka Volterra Competition One Term Tool
One continuous Lotka-Volterra competition rate with an explicit cross-species load coefficient; no equilibrium or fitted parameter inference.