94 I The Process of Evolution 



Table 6.2 | Matings and Offspring in a Population 

 in Hardy-Weinberg Equilibrium 



" The frequency of types of both males and females is given by the 



terms of the expression p- + 2pq + q~; therefore, with random mating 



the frequencies of the different matings are (p- + 2pq + q'~){p~ + 2pq + (/^) 



= p" + 4/rV/ + 6p'q~ + Apq"" + q\ 



f The sum of this column is p" + 4p^q + ^p-q~ + 4pq^ + (y" = {p- + 2pq 



+ q')'' = [(p + ci)']- = [(1)-]" = 1.00. 



I The sum of this column is p" + 2p^q + p-q- — p'^ip- + 2pq + q^) = /?^(1) 



= P'- 



§ The sum of this column is 2p^q + Ap-q- + 2pq^ — 2pqip~ + 2pq + q~) 



= 2pq{l) = 2pq. 



If The .sum of this column is p-q- + 2pq^ -\- q* = q-(p^ + 2pq + (/^) = q-{l) 



If an arbitrary initial population has a gene frequency p = 0.2 

 (c/ = 0.8) and genotype frequencies AA = .10, Aa = .20, and 

 aa = .70, the population reaches equilibrium in one generation and 

 then remains there (Table 6.3). 



Table 6.3 



