Table 1:

The eight octants in the space of possible allele frequencies, along with their associated $r_{\max }^2,|d{|}_{\max },\text{and}{\rho }_{\max }$ values.

Octant	Condition				pAB achieving maximal |D|	$r_{\max }^2$	|d|max	ρmax
	pA < $\frac{1}{2}$	pB < $\frac{1}{2}$	pA < pB	pA + pB < 1
S1	Yes	No	Yes	No	pA + pB − 1	$\frac{(1-p_A)(1-p_B)}{p_A{p}_B}$	$\frac{1-p_A}{p_B}$	-
S2	No	No	Yes	No	pA	$\frac{p_A(1-p_B)}{(1-p_A)p_B}$	$\frac{p_A}{p_B}$	-
S3	No	No	No	No	pB	$\frac{(1-p_A)p_B}{p_A(1-p_B)}$	-	-
S4	No	Yes	No	No	pA + pB − 1	$\frac{(1-p_A)(1-p_B)}{p_A{p}_B}$	-	1
S5	No	Yes	No	Yes	0	$\frac{p_A{p}_B}{(1-p_A)(1-p_B)}$	$\frac{p_A}{1-p_B}$	1
S6	Yes	Yes	No	Yes	pB	$\frac{(1-p_A)p_B}{p_A(1-p_B)}$	$\frac{1-p_A}{1-p_B}$	1
S7	Yes	Yes	Yes	Yes	pA	$\frac{p_A(1-p_B)}{(1-p_A)p_B}$	-	-
S8	Yes	Yes	Yes	Yes	0	$\frac{p_A{p}_B}{(1-p_A)(1-p_B)}$	-	-