A compositional approach to allele sharing analysis

• Autores: Ana Isabel Galván, Jan Graffelman , Carlos Barceló
• Localización: Proceedings of the 6th International Workshop on Compositional Data Analysis: Girona, 1-7 de juny de 2015 / coord. por Santiago Thió Fernández de Henestrosa , Josep Antoni Martín Fernández, 2015, ISBN 978-84-8458-451-3
• Idioma: inglés
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• Resumen

  • Relatedness is of great interest in population-based genetic association studies. These studies search for genetic factors related to disease. Many statistical methods used in population-based genetic association studies (such as standard regression models, t-tests, logistic regression) assume that the observations (individuals) are independent. These techniques can fail if independence is not satisfied. Allele-sharing is a powerful data analysis technique for analyzing the degree of dependence between individuals. Two individuals can share 0, 1 or 2 alleles for any genetic marker. This sharing may be assessed for alleles identical by state (IBS) or identical by descent (IBD). Starting from IBS alleles, it is possible to detect the type of relationship of a pair of individuals by using graphical methods. Typical allele-sharing analysis consists of plotting the fraction of loci sharing 2 IBS alleles versus the fraction of sharing 0 IBS alleles (Rosenberg, 2006). Compositional data analysis can be applied to allele-sharing analysis because the proportions of sharing 0, 1 or 2 IBS alleles (denoted by p0, p1 and p2) can be considered as a 3-part-composition. This paper provides a graphical method to detect family relationships by plotting the isometric log-ratio transformation of p0, p1 and p2 in ilr-coordinates. On the other hand, the probabilities of sharing 0, 1 or 2 IBD alleles (denoted by k0, k1, k2), which are termed Cotterman’s coefficients (Cotterman, 1941), depend on the relatedness: monozygotic twins, full-siblings, parent-offspring, avuncular, first cousins, etc. It is possible to infer the type of family relationship of a pair of individuals by using maximum likelihood methods (Thompson, 1975; 1991). As a result, the estimated vector of kˆ = (ˆk0, ˆk1, ˆk2) for each pair of individuals can be considered as a 3-part-composition and plotted in a ternary diagram to identify the degree of relatedness. An R package has been developed for the study of genetic relatedness based on genetic markers such as microsatellites and single nucleotide polymorphisms from human populations, and is used for the computations and graphics of this contribution.