Name: A mathematical approach to multiple genetic relationships
Creator: Günther Karigl
Keywords: identity coefficients, 0301 basic medicine, 03 medical and health sciences, generalized coefficient of kinship, multiple genetic relationships, fixed autosomal locus, Genetics and epigenetics, Hardy-Weinberg equilibrium, 0101 mathematics, 10. No inequality

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1982 English Publisher:Elsevier BVJournal:Theoretical Population Biology, volume 21, pages 379-393 (issn: 0040-5809,

Authors: Günther Karigl;

doi: 10.1016/0040-5809(82)90025-9

A mathematical approach to multiple genetic relationships

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Abstract

Abstract A fundamental concept in the treatment of genetic relationships is that of gene identity which first was introduced by Cotterman (1940) . Based on this notion several measures of relationship evolved such as the inbreeding coefficient, the coefficient of kinship, and the identity coefficients; by means of these quantities joint and conditional phenotype probabilities could be derived. This paper is an attempt at a general mathematical treatment of genetic relationships: Identity states are defined for any number of individuals, a method is given for the calculation of the corresponding identity coefficients by means of generalized coefficients of kinship, and applications are emphasized.

Related Organizations

TU Wien
Austria
University of Vienna
Austria

Keywords

identity coefficients, generalized coefficient of kinship, multiple genetic relationships, fixed autosomal locus, Genetics and epigenetics, Hardy-Weinberg equilibrium, sib mating, reduction formula

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