Table 1.

Measures of inbreeding and coancestry.

Measure	Description	Evaluation
Fj	Inbreeding coefficient for individual j:	FPED: Path counting.
	ibd probability for homologous alleles	FGold: Actual ibd in simulations.
${\theta }_{j{j}^{\prime }}$	Coancestry for individuals $j,j^{\prime }$: ibd probability	θPED: Path counting.
	for random alleles from j and $j^{\prime }$.	θGold: Actual ibd in simulations.
The following hold for PED and Gold values.
FW	Average inbreeding coefficient.	$F_W=\frac{1}{n}{\sum }_{j=1}^n{F}_j$ for n individuals.
Ψj	Average coancestry coefficient for individual j.	${\mathrm{\Psi }}_j=\frac{1}{n-1}{{\sum }_{j^{\prime }=1}^n}_{j^{\prime }\ne j}{\theta }_{j{j}^{\prime }}$
θS	Average coancestry coefficient.	${\theta }_S=\frac{1}{n}{\sum }_{j=1}^n{\mathrm{\Psi }}_j$
fj	Within-population inbreeding coefficient	$f_j=\frac{F_j-{\theta }_S}{1-{\theta }_S}$
	for individual j.
fW	Average within-population inbreeding coefficient.	$f_W=\frac{F_W-{\theta }_S}{1-{\theta }_S}$
ψj	Within-population average kinship coefficient for	${\psi }_j=\frac{{\mathrm{\Psi }}_j-{\theta }_S}{1-{\theta }_S}$
	individual j.