Inbreeding and pedigree construction

Measurement of inbreeding in terms of the degree of consanguinity between two parents is another significant application of data on consanguinity. The coefficient of inbreeding (F) is used to define the probability that two alleles will be identical and derived from the same forebear. The application of this principle is most easily demonstrated by example. If a brother and sister married, their offspring would have one chance in four of inheriting a pair of identical alleles from the grandparent. With each further degree of consanguinity, the likelihood is halved, so that in the child of a mating between aunt and nephew the likelihood of identical alleles would be 1 in 8, and in a child of first cousins, 1 in 16.

In the construction of pedigrees, horizontal lines are used to connect symbols of siblings and mates and vertical lines to connect parents with their offspring, with all inbreeding represented by one or more loops, each of which involves consanguinity. The coefficient of inbreeding for an individual is the sum of that calculated for all the loops that include the individual’s parents. The inbreeding coefficient of a population is calculated from the average F values of its members. High values of F are found in small populations whose members marry one another over many generations. Such groups are called isolates. Thus, the Samaritans, who have remained a small but distinctive group since the 8th century bc, are considerably inbred, and in the United States some religious groups also live in agricultural colonies as isolates (for instance, the Amish and the Hutterites). Besides these numerically small groups, strict intracommunity marriage is strongly favoured by many populations in the Middle East, Central and South Asia, and North and sub-Saharan Africa. In many of these communities, from 20 to more than 60 percent of all marriages in the current generation are intrafamilial, most commonly between first cousins.

Homozygosity and heterozygosity

In genetics an allele that is carried at the same position in both of a pair of chromosomes is called homozygous. An allele may be rare in the general population, but, if the parent possesses it, it is transmitted from parent to child with the same probability as any common allele. Therefore, the chance of receiving a rare allele in the chromosomes derived from both mother and father—that is, the chance of being homozygous for that allele—is greatest in the offspring of consanguineous mating. In theory, since repeated mutations are rare, homozygosity of even common alleles may be ascribed to distant consanguinity. (See homozygote.)

Historical relevance

First-degree consanguineous marriage was practiced in a number of early societies, including the 18th and 19th Egyptian dynasties, Zoroastrian Iran, the Inca empire, and the Hawaiian ruling classes. By comparison, all modern human societies have some form of incest taboo. These are rules and laws that prohibit marriage or sexual relations, or both, between certain kin. These kin always include some consanguineous classes, and one theory behind the establishment of incest laws supposes folk knowledge of undesirable inbreeding effects in the offspring of close kin unions. Considerable variation exists in the levels of inbreeding proscribed within different societies, and taboos can extend to nonconsanguineous relationships. For instance, in traditional Chinese society a man may marry his mother’s brother’s daughter, but marriage between a male and female with the same surname is prohibited. Other theories of the origin of incest, therefore, include analysis of its effects on stability of the family as an economic and educational unit and ascribe the definition of incest in various societies to social and psychological motives.