Relationship between phenotypic and marker distances: theoretical and experimental investigations

Abstract

Numerous studies have aimed at assessing the relationships between (i) distances computed from phenotypic data, (ii) distances computed from marker data and (iii) heterosis, for pairs of individuals or populations. The conflicting results obtained illustrate that these relationships are far from simple. In this paper, we investigate the effect on these relationships of (i) the polygenic inheritance of phenotypic traits and (ii) the structure of linkage disequilibrium between genetic markers and the loci involved in the variation of quantitative traits (QTLs). Both theoretical and experimental results showed that the relationship between marker distances and phenotypic distances computed from quantitative traits displays a triangular shape: low marker distances are systematically associated with low phenotypic distances, whereas high marker distances correspond to either low or high phenotypic distances. Because of this property, the linear coefficient of correlation between both distances decreases as the number of QTLs involved in the variation of the traits considered for phenotypic distance computation increases. Similar properties are expected for the relationship between heterosis and phenotypic distances.