Ancestral Lineages in Mutation Selection Equilibria with Moving Optimum

Explore a 31-minute lecture on ancestral lineages in mutation selection equilibria with moving optimum, presented by Florian Patout from INRAE at the Institut Henri Poincaré. Delve into the study of genealogy within populations adapting to rapid environmental changes using a deterministic model to describe phenotypic density under selection with a moving fitness optimum. Examine the neutral fractions approach to understand population dynamics and learn about a Markov process characterizing ancestral phenotypic lineage distribution at equilibrium. Discover key findings on typical ancestor phenotypes in asexual populations and their proximity to fitness optima. Investigate the asymptotic regime of small mutation effects, including an explicit formula for typical ancestral lineages derived from Hamilton Jacobi equation solutions. Compare deterministic results with stochastic model lineages to gain a comprehensive understanding of population genetics and evolutionary dynamics.