Absolute Fitness Frequency Calculator

Model selection effects with absolute fitness. Review allele, genotype, phenotype, and mean fitness changes instantly. Export clean results for reports, homework, and study records.

Calculator Inputs

Formula Used

The calculator first finds genotype frequencies. For allele mode, it uses Hardy-Weinberg starting values.

AA = p², Aa = 2pq, aa = q²

For observed counts, each genotype count is divided by the total count.

Mean fitness: W̄ = fAAWAA + fAaWAa + faaWaa

After selection: f'AA = fAAWAA / W̄

After selection: f'Aa = fAaWAa / W̄

After selection: f'aa = faaWaa / W̄

New allele frequency: p' = f'AA + 0.5f'Aa

Other allele frequency: q' = 1 - p'

How To Use This Calculator

  1. Choose allele frequency mode or genotype count mode.
  2. Enter p if you use allele frequency mode.
  3. Enter AA, Aa, and aa counts if you use count mode.
  4. Enter absolute fitness for each genotype.
  5. Select the generation model.
  6. Enter population size if expected counts are needed.
  7. Click the calculate button.
  8. Download CSV or PDF results if required.

Example Data Table

Case Start Type Starting Value WAA WAa Waa Generations Model
Favored A allele Allele frequency p = 0.60 1.20 1.00 0.80 5 Selection then random mating
Observed sample Genotype counts 120, 160, 80 1.10 1.05 0.90 8 Carry selected genotypes forward
Balanced case Allele frequency p = 0.50 1.00 1.20 1.00 10 Selection then random mating

Understanding Absolute Fitness Frequency

Absolute fitness measures how much a genotype contributes to the next group. It can use survival, birth rate, fertility, or a combined value. This calculator turns those values into updated genotype and allele frequencies. It helps when selection is not described only by relative fitness. The method also shows mean fitness, which is the weighted average success of the whole population.

Why This Calculation Matters

Frequency change is important in evolutionary physics models, biophysics simulations, and population dynamics. A small fitness advantage can grow across generations. A lower value can remove an allele slowly or quickly. The result depends on the starting frequency, the heterozygote value, and the mating assumption. Because the tool shows each generation, the trend is easier to inspect.

What The Inputs Mean

You may start from allele frequency or observed genotype counts. Allele frequency mode assumes Hardy Weinberg starting proportions. Genotype count mode uses your observed AA, Aa, and aa counts. The fitness boxes accept absolute values. They do not need to add to one. They only need a consistent scale. For example, 12 offspring, 8 survivors, and 4 survivors can be entered directly.

Reading The Output

The output lists p and q before selection, mean fitness, genotype frequencies after selection, and the final allele frequency. If random mating is selected, the next generation is rebuilt from p and q. If selected genotypes are carried forward, the selected genotype frequencies continue directly. Both options are useful. They answer different modeling questions.

Practical Notes

Use realistic fitness values when possible. Very high or very low values can push frequencies fast. Zero fitness means that genotype leaves no descendants during selection. The population size field only scales frequencies into expected counts. It does not add random drift. For stochastic effects, repeat simulations with random sampling outside this deterministic calculator.

Common Modeling Choices

A dominant allele changes differently from a recessive allele. Heterozygote fitness controls that pattern. When Aa matches AA, the A allele is favored even when rare. When Aa matches aa, selection may be slow at first. Overdominance can maintain both alleles. Underdominance can make the final result depend strongly on the starting frequency. Always compare assumptions before using the result in reports.

FAQs

What is absolute fitness?

Absolute fitness is the actual reproductive or survival output of a genotype. It may represent offspring count, survival rate, fertility score, or another direct success measure.

Does absolute fitness need to total one?

No. Absolute fitness values do not need to total one. The calculator normalizes them through mean fitness during the selection step.

What is mean fitness?

Mean fitness is the weighted average fitness of all genotypes. It is found by multiplying each genotype frequency by its fitness value, then adding the products.

What does p mean?

The value p is the frequency of allele A. It equals the AA genotype frequency plus one half of the Aa genotype frequency.

What does q mean?

The value q is the frequency of allele a. For two alleles, q equals one minus p after each selection step.

When should I use genotype count mode?

Use genotype count mode when you have observed AA, Aa, and aa counts. It avoids assuming Hardy-Weinberg proportions at the start.

What does random mating change?

Random mating rebuilds the next generation from p and q. This creates Hardy-Weinberg genotype frequencies before the next selection step.

Does this calculator include genetic drift?

No. This is a deterministic calculator. Population size only converts frequencies into expected counts. It does not add random sampling effects.


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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.