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5.1: Haploid Genetics
https://math.libretexts.org/Bookshelves/Applied_Mathematics/Mathematical_Biology_(Chasnov)/05%3A_Population_Genetics/5.01%3A_Haploid_Genetics
We denote the frequency (or more accurately, proportion) of allele $A(a)$ in the $i$ th generation by $p_{i}\left(q_{i}\right) ;$ that is, \[p_{i}=\frac{n_{A}^{(i)}}{n_{A}^{(i)}+n_{a}^{(i)}}, \q...We denote the frequency (or more accurately, proportion) of allele $A(a)$ in the $i$ th generation by $p_{i}\left(q_{i}\right) ;$ that is, $p_{i}=\frac{n_{A}^{(i)}}{n_{A}^{(i)}+n_{a}^{(i)}}, \quad q_{i}=\frac{n_{a}^{(i)}}{n_{A}^{(i)}+n_{a}^{(i)}} \nonumber$ where evidently $p_{i}+q_{i}=1 .$ Now, from (5.1.1), $n_{A}^{(i+1)}+n_{a}^{(i+1)}=f_{A} g_{A} n_{A}^{(i)}+f_{a} g_{a} n_{a}^{(i)}, \nonumber$ so that dividing the first equation in (5.1.1) by (5.1.3) yields \[\begin{align} \non…

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