Friday, September 15 at 3:30pm to 4:30pm
Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089
Jason Schweinsberg, UC San Diego, Department of Mathematics
We consider a model of a population of fixed size N in which each individual acquires beneficial mutations at a constant rate. Each individual dies at rate one, and when a death occurs, an individual is chosen at random with probability proportional to the individual’s fitness to give birth. We obtain rigorous results for the rate at which mutations accumulate in the population, the distribution of the fitness levels of individuals in the population at a given time, and the genealogy of the population. Our results confirm nonrigorous predictions of Desai and Fisher (2007), Desai, Walczak, and Fisher (2013), and Neher and Hallatschek (2013).