Inbreeding in pedigrees

Consanguinious matings are those between related individuals (those that share a common ancestor), and are indicated by double lines between pedigree symbols. The relatedness (r) of two individuals is the fraction of alleles they share at all loci. The offspring of a consanguinious mating are said to be inbred. The inbreeding coefficient (F) for an inbred individual is the probability that the individual has two alleles identical by descent at a locus. Alleles are identical by descent if they are genetic copies of the same allele in the common ancestor. These probabilites can be calculated by following each allele through several generations.

For example, we can calculate the probability that individual #5, the product of a full-sib mating, has two alleles at the A locus that are identical by descent as F = 1/4 = 0.25. Other relatedness and inbreeding coefficients for typical consanguinious matings are shown below.

 
Relatedness (r) & Inbreeding (F) coefficients for relatives & consanguinious matings
Relationship
Description
Example
r
F of offspring
Parent / Offspring
 mother or father, to son or daughter
## 2 & 4
1/2
1/2 = (2)(1/2)(1/4)
Full sibs
offspring of same parents
## 3 & 4 => #5
1/2
1/4 = (4)(1/4)2
Half sibs
offspring with one parent in common
not shown
1/4
1/8 = (2)(1/4)2
1st cousins
offspring of full sibs
## 7 & 8 => #10
1/8
1/16 = (4)(1/8)2
2nd cousins
offspring of 1st cousins
## 12 & 13 => #15
1/16
1/64 = (4)(1/16)2


Text material © 2004 by Steven M. Carr