Derivation of the Complete Dominance case of the General Selection Model

Given:  genotype:       AA       AB      BB
           phenotype:      W0 =    W1    W2
                   or             1    =    1       1-s

q     = [pq] [(q)(W2 - W1) + (p)(W1 - W0)] / []                                     [GSM]

          = [pq] [(q)(1 - s) - 1)) + (p)(1 - 1)] / [p2(1) + 2pq(1) + q2(1 - s)]      [Fitness phenotypes W0 = W1 of AA & AB cancel; expand ]

          = [pq] [-sq] / [p2 + 2pq + q2 - sq2]                                                  [Sort out numerator; extract p2 + 2pq + q2 in the denominator]

q    = -spq2 / (1 - sq2)                         

Text material © 2021 by Steven M. Carr