Table 4.

Exact Mean Coalescence Times for 4-Vertex Motifs.

Motif	${\overline{t}}_{11}$	${\overline{t}}_{22},\hspace{0.17em}{\overline{t}}_{44}$	${\overline{t}}_{33}$	${\overline{t}}_{12}$	${\overline{t}}_{13}$	${\overline{t}}_{14}$	${\overline{t}}_{23}$	${\overline{t}}_{24}$	${\overline{t}}_{34}$
	1	1	1	$\infty$	$\infty$	$\infty$	$\infty$	$\infty$	$\infty$
	1	2	1	$\infty$	$\infty$	$\infty$	$\infty$	$2(1+\frac{1}{2M})$	$\infty$
	$\frac{8}{3}$	$\frac{8}{3}$	1	$\frac{8}{3}(1+\frac{5}{8M})$	$\infty$	$\frac{8}{3}(1+\frac{5}{8M})$	$\infty$	$\frac{8}{3}(1+\frac{1}{M})$	$\infty$
	2	2	2	$2(1+\frac{1}{2M})$	$\infty$	$\infty$	$\infty$	$\infty$	$2(1+\frac{1}{2M})$
	3	3	1	$3(1+\frac{2}{3M})$	$\infty$	$3(1+\frac{2}{3M})$	$\infty$	$3(1+\frac{2}{3M})$	$\infty$
	3	3	3	$3(1+\frac{2}{3M})$	$3(1+\frac{2}{3M})$	$3(1+\frac{2}{3M})$	$3(1+\frac{1}{M})$	$3(1+\frac{1}{M})$	$3(1+\frac{1}{M})$
	$\frac{2\left(45M+44\right)}{25M+28}$	$\frac{2\left(45M+52\right)}{25M+28}$	${\overline{t}}_{11}$	$\frac{3\left(30M^2+51M+20\right)}{M\left(25M+28\right)}$	$\frac{90M^2+241M+156}{M\left(25M+28\right)}$	$\frac{2\left(3M+4\right)\left(15M+16\right)}{M\left(25M+28\right)}$	${\overline{t}}_{14}$	$\frac{90M^2+185M+92}{M\left(25M+28\right)}$	${\overline{t}}_{12}$
	$\frac{1,440M^2+3,639M+2,240}{3\left(135M^2+340M+208\right)}$	$\frac{3\left(160M^2+403M+246\right)}{135M^2+340M+208}$	$\frac{480M^2+1,171M+688}{135M^2+340M+208}$	$\frac{480M^3+1,579M^2+1,670M+568}{M\left(135M^2+340M+208\right)}$	$\frac{480M^3+1,516M^2+1,519M+480}{M\left(135M^2+340M+208\right)}$	${\overline{t}}_{12}$	$\frac{480M^3+1,738M^2+2,073M+816}{M\left(135M^2+340M+208\right)}$	$\frac{\left(3M+2\right)\left(160M^2+403M+246\right)}{M\left(135M^2+340M+208\right)}$	${\overline{t}}_{23}$
	4	4	4	$4(1+\frac{3}{4M})$	$4(1+\frac{1}{M})$	$4(1+\frac{3}{4M})$	$4(1+\frac{3}{4M})$	$4(1+\frac{1}{M})$	$4(1+\frac{3}{4M})$
	$\frac{4(25M+\frac{207}{8})}{26M+27}$	$\frac{4\left(25M+26\right)}{26M+27}$	${\overline{t}}_{11}$	$4(1+\frac{3}{4M})\left(\frac{25M+\frac{205}{8}-\frac{3}{32M+24}}{26M+27}\right)$	$4(1+\frac{1}{M})\left(\frac{25M+\frac{207}{8}}{26M+27}\right)$	${\overline{t}}_{12}$	${\overline{t}}_{12}$	$4(1+\frac{3}{4M})\left(\frac{25M+26}{26M+27}\right)$	${\overline{t}}_{12}$
	4	4	4	$4(1+\frac{3}{4M})$	$4(1+\frac{3}{4M})$	$4(1+\frac{3}{4M})$	$4(1+\frac{3}{4M})$	$4(1+\frac{3}{4M})$	$4(1+\frac{3}{4M})$

Note.—Owing to symmetries in migration motifs (fig. 1), ${\overline{t}}_{22}={\overline{t}}_{44}$.