Person:

Nicolaisen, Lauren Elisabeth

As deleterious variants continually arise in a population, they tend to be purged via purifying selection, leading to distortions in the shapes of genealogies relative to neutral expectations. In recent years, a mounting body of evidence has arisen suggesting that this can have significant implications for the patterns of diversity seen in natural populations. However, existing theory has not yet fully characterized the effects of these distortions on the structure of genealogies. The focus of this thesis is on exploring this gap, and developing an analytical description of the distortions that arise in genealogies due to purifying selection.

Compared to a neutral model, purifying selection distorts the structure of genealogies and hence alters the patterns of sampled genetic variation. Although these distortions may be common in nature, our understanding of how we expect purifying selection to affect patterns of molecular variation remains incomplete. Genealogical approaches such as coalescent theory have proven difficult to generalize to situations involving selection at many linked sites, unless selection pressures are extremely strong. Here, we introduce an effective coalescent theory (a "fitness-class coalescent") to describe the structure of genealogies in the presence of purifying selection at many linked sites. We use this effective theory to calculate several simple statistics describing the expected patterns of variation in sequence data, both at the sites under selection and at linked neutral sites. Our analysis combines a description of the allele frequency spectrum in the presence of purifying selection with the structured coalescent approach of Kaplan et al. (1988), to trace the ancestry of individuals through the distribution of fitnesses within the population. We also derive our results using a more direct extension of the structured coalescent approach of Hudson and Kaplan (1994). We find that purifying selection leads to patterns of genetic variation that are related but not identical to a neutrally evolving population in which population size has varied in a specific way in the past.