Table 5:

Constraints on one allele frequency given an LD value and allele frequency at the other locus, for the five measures. Here, we assume $p_A,p_B⩽\frac{1}{2}$. Owing to symmetry in the loci, for $|D^{\prime }|,r^2,\text{and}{r}^2/r_{\max }^2,$ fixing p_A is equivalent to fixing p_B.

	Fixed allele frequency
	pA	pB
|D′|	0 ⩽ pB ⩽ 1	0 ⩽ pA ⩽ 1
r2	$\frac{r^2{p}_A}{1+r^2{p}_A-p_A}⩽p_B⩽\min \left(\frac{1}{2},\frac{p_A}{r^2-r^2{p}_A+p_A}\right)$	$\frac{r^2{p}_B}{1+r^2{p}_B-p_B}⩽p_A⩽\min \left(\frac{1}{2},\frac{p_B}{r^2-r^2{p}_B+p_B}\right)$
|d|	$\max \left(0,\frac{p_A+|d|-1}{|d|}\right)⩽p_B⩽p_A$	$p_B⩽p_A⩽\min \left(\frac{1}{2},1-|d|+|d|p_B\right)$
ρ	0 ⩽ pB ⩽ 1	0 ⩽ pA ⩽ 1
$r^2/r_{\max }^2$	0 ⩽ pB ⩽ 1	0 ⩽ pA ⩽ 1