Evolution in health and medicine Sackler colloquium: Genetic architecture of a complex trait and its implications for fitness and genome-wide association studies

Abstract

A model is investigated in which mutations that affect a complex trait (e.g., heart disease) also affect fitness because the trait is a component of fitness or because the mutations have pleiotropic effects on fitness. The model predicts that the genetic variance, and hence the heritability, in the trait is contributed by mutations at low frequency in the population, unless the mean strength of selection of mutations that affect the trait is very small or weakly selected mutations tend to contribute disproportionately to the trait compared with strongly selected mutations. Furthermore, it is shown that each rare mutation tends to contribute more to the variance than each common mutation. These results may explain why most genome-wide association studies have failed to find associations that explain much of the variance. It is also shown that most of the variance in fitness contributed by new nonsynonymous mutations is caused by mutations at very low frequency in the population. This implies that most low-frequency SNPs, which are observed in current resequencing studies of, for example, 100 chromosomes, probably have little impact on the variance in fitness or traits. Finally, it is shown that the variance contributed by a category of mutations (e.g., coding or regulatory) depends largely upon the mean strength of selection; this has implications for understanding which types of mutations are likely to be responsible for the variance in fitness and inherited disease.

Fig. 1.

The relationship between trait and fitness, assuming the distribution of fitness is a Γ-distribution (β = 0.20 and = 3,000) for different values of t and σ.

Fig. 2.

The density of variance, V(x) / V_T, in the trait as a function of allele frequency when the trait is fitness for different mean strengths of selection when β is 0.20.

Fig. 3.

The density of variance, V(x) / V_T, in the trait as a function of allele frequency, for different values of τ and different mean strengths of selection (β = 0.20): (A) of 3,000, (B) of 30.

Fig. 4.

The total variance, V_T, as a function of the mean strength of selection and the parameter τ. The shape parameter, β, was assumed to be 0.20, and σ was set at 1.