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Table 5 Family frequencies, fitnesses, and change in frequency of competitive allele, half-sib families, fixed policing = a. From left to right: Family types, frequencies, frequency of offspring genotypes, allele frequency within families, mean offspring competitive intensity, family fitness, and change in frequency of competitive allele due to selection within the family.

From: The evolution of competition and policing: opposing selection within and among groups

Fam Freq Offspring Genotype Family Mean
   AA Aa aa qi. zi = ziHS wi. Δqi.
AA p^2 p q --- (q/2) z0+qza = z1HS (1-ca)(1-z1HS(1-a)) pqza(1-a)/(2z1HS(1-ac))
Aa 2*p*q p/2 1/2 q/2 (q/2+1/4) z0+za(q+1/2) = z2HS (1-ca)(1-z2HS(1-a)) ((za(1-a))/(z2HS(1-ac)))(1/8+pq/2)
aa q^2 --- p q (q/2+1/2) z0+za(q+1) = z3HS (1-ca)(1-z3HS(1-a)) pqza(1-a)/(2z3HS(1-ac))