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Evolution & Population Genetics

Relative Fitness Normalization Workbench

Normalize 2–20 comparable entered fitness components to either their observed maximum or a separate declared reference while preserving every raw value.

Biology · experimental measurements

Compare like-for-like fitness components without erasing the normalization choice or treating relative values as measured probabilities.

Private calculations in your browser · explicit inputs and model boundaries
Example preview · Normalize three genotypesRelative fitness of each entered type on one reference scale
AA0.9
Aa1
aa0.4

Bars divide each entered surviving fraction component by Wref = 1. They do not encode population frequency or statistical precision.

  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
Try an example

Type fitness-component records
1 row
Row 1

Empty rows are ignored until edited. Keep commas and tabs out of individual entries; use the paste view for comma- or tab-separated records.

Use 2–20 distinct labels and one comparable nonnegative component definition.

Calculation result

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Enter valid values to see the result.

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Understand the relationship

The reasoning behind the result

Normalization preserves ratios

wi = Wi/Wref

Dividing every comparable component by the same positive reference preserves pairwise ratios while changing the scale. Maximum normalization makes at least one entered type equal one.

A separate reference may yield every entered relative value below or above one.

Relative fitness is dimensionless but contextual

Units cancel only because numerator and denominator use the same fitness component. Cancelling units does not erase stage, environment or sampling design.

Survival and fecundity values cannot share one normalization merely because both are nonnegative.

Zero is an entered boundary

A zero component produces relative fitness zero. It does not establish permanent absence, sterility or extinction beyond the entered observation interval.

At least one entered or separate reference must be positive so normalization is defined.

No population weighting is implied

The workbench gives each row its own ratio and does not use population frequencies. Mean population fitness requires explicit type frequencies or counts.

Relative values alone do not predict allele-frequency change without an inheritance and selection model.

Follow the numbers

Normalize three genotype viability components

  1. The entered components are 0.9 for AA, 1.0 for Aa and 0.4 for aa.
  2. Maximum normalization chooses Wref = 1.0.
  3. AA relative fitness is 0.9/1.0 = 0.9.
  4. Aa relative fitness is 1.0 and aa relative fitness is 0.4.
  5. All raw values remain in the ledger beside their ratios.

The ratios describe one declared viability component and do not supply genotype frequencies or a population mean.

Quick guide

How to use this calculator

  1. Use one stage-specific fitness component and unit across every row.
  2. Choose whether the reference is the maximum entered component or a separate justified value.
  3. Inspect raw and normalized values together; normalization does not add uncertainty or make observations independent.

Calculation method

Calculation and interpretation

Compare like-for-like fitness components without erasing the normalization choice or treating relative values as measured probabilities.

Relative fitness for type i: wi = Wi/Wref, where Wref is the declared reference or maximum entered component

Worked example

Normalize three genotype viability components

The ratios describe one declared viability component and do not supply genotype frequencies or a population mean.

Relative fitness for type i: wi = Wi/Wref, where Wref is the declared reference or maximum entered component

Supported inputs

Precision and limits

Like-for-like components

Every row must share the same stage, denominator, environment and fitness-component definition.

Reference choice remains substantive

Maximum and separate-reference normalization answer different bookkeeping questions.

No population mean

Rows have no population-frequency weights; use the dedicated mean-fitness workflow when weights are known.

No selection forecast

Relative components do not by themselves model inheritance, dominance, drift or future frequency.

Numerical support

Use 2–20 rows with components from zero through 10¹² and a positive normalization reference. Positive derived ratios must remain representable; otherwise an explicit range message asks for equivalent rescaling.

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