Inferring relationships between pairs of individuals from locus heterozygosities

BMC Genomic Data

Table 1 Probabilities of genotype combinations and allele sharing for several common relationships

		Parent-Child	Full sibs	2.nd degree	Non-relatives
A) Genotype combination
1	AA, AA	p_A ³	p_A ²(1+p_A)²/4	p_A ³(1+p_A)/2	p_A ⁴
2	AA,AB	2p_A ²p_B	p_A ²p_B(1+p_A)	p_A ²p_B(1+2p_A)	4p_A ³ p_B
3	AA,BB	0	p_A ²p_B ²/2	p_A ²p_B ²	2p_A ²p_B ²
4	AB,AB	p_Ap_B(p_A+p_B)	p_Ap_B(2p_Ap_B+p_A+p_B+1)/2	p_Ap_B(4p_Ap_B+p_A+p_B)/2	4p_A ²p_B ²
5	AA,BC	0	p_A ²p_Bp_C	2p_A ²p_Bp_C	4p_A ²p_Bp_C
6	AB,AC	2p_Ap_Bp_C	p_Ap_Bp_C(2p_A+1)	p_Ap_Bp_C(4p_A+1)	8p_A ²p_Bp_C
7	AB,CD	0	2p_Ap_Bp_Cp_D	4p_Ap_Bp_Cp_D	8p_Ap_Bp_Cp_D
B) Number of shared alleles (Z)
0		0	H²/8	H²/4	H²/2
1		H	H(1-H/2)	3H/2-H²	2H-2H²
2		1-H	1-H(1-3H/8)	1-3H/2+3H²/4	1-2H+3H²/2

A (top): probabilities of the seven possible combinations of genotypes for multi-allelic loci in pairs of individuals, conditional on their relationship, as functions of allele frequencies. B (bottom): probabilities of sharing 0, 1, or 2 alleles for diallelic loci as functions of locus heterozygosity.

ISSN: 2730-6844