Bergmann Latitude Body Size Correlation Calculator

ObservedPearsonbody-sizeversusABSOLUTEpaleolatitudecorrelation,not signedlatitude/no sensitivegroupclassification or causalBergmannlawverification. Actual independently identified specimens,matched units/taxon/cohort/source/edition/calibration and model applicability external;not individual identity,causation,diagnosis,absolute age certainty or validated forecast.

Description

A size–latitude association can be described using absolute paleolatitude, which treats northern and southern distances from the equator alike.

A size–latitude association can be described using absolute paleolatitude, which treats northern and southern distances from the equator alike.^[1]

Correlation alone cannot establish a causal size rule.

When to use Bergmann Latitude Body Size Correlation Calculator

Use this tool to apply the stated bergmann latitude body size correlation calculator operation with an explicit input and unit basis.

How to use Bergmann Latitude Body Size Correlation Calculator and how it works

Establish the measurement basis and units described above.
Enter actualMatchedLatitudesDegrees, actualMatchedBodySizeMeasurements and run the tool.
Read result.absoluteLatitudePearsonR using the output meanings below.
If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.

Input field	Meaning	Value type	Requirement
actualMatchedLatitudesDegrees	Matched latitudes degrees, on the basis specified in the algorithm.	array of number	required; dense; align related rows as specified; further conditions in the algorithm
actualMatchedBodySizeMeasurements	Matched body size measurements, on the basis specified in the algorithm.	array of number	required; dense; align related rows as specified; further conditions in the algorithm

Require at least three aligned observations, latitudes within ±90 degrees, positive sizes and positive variation in absolute latitude and size. Return Pearson correlation of absolute latitude with size.

r = Σ((abs(latitude)−x̄)(size−ȳ))/√(Σdx² Σdy²)

Apply the declared units, ordering and branch conditions.

Output field	Meaning	Value type
result	Object containing the declared output fields.	object
result.absoluteLatitudePearsonR	Pearson correlation between absolute paleolatitude and the matched size metric.	number

json

{
  "input": {
    "actualMatchedLatitudesDegrees": [
      -10,
      20,
      30
    ],
    "actualMatchedBodySizeMeasurements": [
      1,
      2,
      3
    ]
  },
  "output": {
    "result": {
      "absoluteLatitudePearsonR": 1
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Island Dwarfism Size Reduction Percent Calculator. A size comparison between matched island and mainland populations can be expressed as a signed percentage change.

For a related operation, use Sexual Dimorphism Canine Ratio Calculator. Comparing mean canine sizes describes a difference between independently established specimen groups.

References

Bergmann Latitude Body Size Correlation Calculator — tool.io

Similar or alternative tools

Island Dwarfism Size Reduction Percent Calculator
A size comparison between matched island and mainland populations can be expressed as a signed percentage change.
Sexual Dimorphism Canine Ratio Calculator
Comparing mean canine sizes describes a difference between independently established specimen groups.