Zooplankton Length Weight Regression Calculator
Fit caller matched zooplankton dry-mass/length log-power relation and within-range conditional median prediction; coefficients/taxon/units external, no arithmetic mean without log-residual correction or universal biomass equation.
Description
Zooplankton mass can be fitted as a power of length for a defined taxon and measurement basis.
Zooplankton mass can be fitted as a power of length for a defined taxon and measurement basis. Log-linear fitting predicts a conditional median on the mass scale.1
Enter aligned positive length/dry-mass pairs with at least two distinct lengths and a positive query within observed length range. Fit ordinary least squares in natural-log space; return exponent, exponentiated intercept and prediction.
When to use Zooplankton Length Weight Regression Calculator
Use Zooplankton Length Weight Regression Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No extrapolation, taxon-wide coefficient, uncertainty or log-residual correction for arithmetic mean is provided.
Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.
How to use Zooplankton Length Weight Regression Calculator and understand its results
- Prepare the observed lake or sample measurements and explicit calibration, reference values or thresholds requested. Keep depth coverage, units, dates and sampling conditions consistent.
- Enter observedLengthsMm, observedDryMassMicrograms, queryLengthMm using the field table and calculation rules, then run the tool.
- Read fittedPowerExponent, fittedCoefficientMicrogramsPerMmPower, withinObservedRangeMedianPredictedMassMicrograms. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| observedLengthsMm | Observed lengths mm | list of number | Required |
| observedDryMassMicrograms | Observed dry mass micrograms | list of number | Required |
| queryLengthMm | Query length mm | number | Required |
Enter aligned positive length/dry-mass pairs with at least two distinct lengths and a positive query within observed length range. Fit ordinary least squares in natural-log space; return exponent, exponentiated intercept and prediction.
ln(mass)=intercept+exponent×ln(length); predicted=exp(fitted log mass) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| fittedPowerExponent | Fitted power exponent | number |
| fittedCoefficientMicrogramsPerMmPower | Fitted coefficient micrograms per mm power | number |
| withinObservedRangeMedianPredictedMassMicrograms | Within observed range median predicted mass micrograms | number |
{
"input": {
"observedLengthsMm": [
1,
2,
4
],
"observedDryMassMicrograms": [
2,
8,
32
],
"queryLengthMm": 2
},
"output": {
"fittedPowerExponent": 2,
"fittedCoefficientMicrogramsPerMmPower": 1.9999999999999998,
"withinObservedRangeMedianPredictedMassMicrograms": 7.999999999999998
}
}Limitations and assumptions
No extrapolation, taxon-wide coefficient, uncertainty or log-residual correction for arithmetic mean is provided.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Benthic Macroinvertebrate Biomass Area Calculator: Pooled benthic biomass should weight unequal sample areas through total mass divided by total area. Blank corrections can be negative. For a complementary task, use Sedgwick Rafter Cell Density Calculator: Counting-chamber density depends on the volume actually examined. Unequal field areas require volume pooling rather than an assumed full chamber.
References
Similar or alternative tools
- Benthic Macroinvertebrate Biomass Area Calculator
Pooled benthic biomass should weight unequal sample areas through total mass divided by total area. Blank corrections can be negative.
- Sedgwick Rafter Cell Density Calculator
Counting-chamber density depends on the volume actually examined. Unequal field areas require volume pooling rather than an assumed full chamber.