Normalize viability selection before counting adult alleles
Natural selection requires differences in contribution to subsequent generations associated with heritable variation. Survival is one component; mating success and fertility can also matter. Relative fitness compares contributions under a defined environment and life cycle, not an organism’s strength or moral worth.
Learning outcome: Hold p=0.5 and compare h0,0.5 and1. Retain the initial frequencies, weights, normalization denominator and adult allele count. Explain which additional reproduction measurement is needed before equating adult frequency with next-generation frequency.
Starting recap
Distinguish population mechanisms using explicit allele, genotype, life-cycle and sampling denominators; compare conditional explanations and independent falsifying evidence.
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At p=0.5 and h=0.5, initial frequencies are0.25,0.5,0.25 and weights1,0.8,0.6. Survivor contributions0.25,0.4,0.15 sum0.8; adult frequencies0.3125,0.5,0.1875 give adult p=0.5625.
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Can you count adult allele frequency directly from weighted contributions without first dividing by total survival?
Experiment
Hold p=0.5 and compare h0,0.5 and1. Retain the initial frequencies, weights, normalization denominator and adult allele count. Explain which additional reproduction measurement is needed before equating adult frequency with next-generation frequency.
Normalize diploid viability before counting transmitted alleles
Worked teaching model · synthetic values · Initial random union gives p²,2pq,q². Relative viability AA1,Aa1−0.4h,aa0.6. Adults contribute equally after viability; no migration, mutation, fertility difference or finite sampling.
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Selection changes genotype representation; allele change follows normalized survivors, not unnormalized genotype weights.
The heterozygote coefficient changes the exposure of an allele to this viability contrast. Dominance is about this phenotype/context; it does not mean an allele is common, beneficial or destined to fix.
| Quantity | Value | Unit |
|---|---|---|
| AA initial frequency | 0.2500000 | fraction |
| AA adult frequency | 0.3125000 | fraction |
| Aa initial frequency | 0.5000000 | fraction |
| Aa adult frequency | 0.5000000 | fraction |
| aa initial frequency | 0.2500000 | fraction |
| aa adult frequency | 0.1875000 | fraction |
| Mean relative viability | 0.8000000 | relative |
| Adult A frequency | 0.5625000 | fraction |
| Change in A frequency | 0.06250000 | fraction |
Retain prior predictions, settings and quantities in the notebook. These are original supplied/calculated comparisons, not physical specimen observations or laboratory participation.
Selection changes genotype representation; allele change follows normalized survivors, not unnormalized genotype weights.
The heterozygote coefficient changes the exposure of an allele to this viability contrast. Dominance is about this phenotype/context; it does not mean an allele is common, beneficial or destined to fix.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
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With p=0.5, h=1 and the same AA1/aa0.6 weights, calculate adult A frequency.
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