Appears in collection : 2022 - T1 - WS3 - Mathematical models in ecology and evolution
Joint work with Himani Sachdeva, Eniko Szep and Oluwafunmilola Olusanya.
The joint distribution of allele frequencies and deme size across a metapopulation can be analysed using the diffusion approximation. Szep et al. (Evolution, 2021) derive an explicit formula for the stationary distribution, and find when a heterogeneous environment can maintain genetic variation. If loci are typically close to fixation, we can make a further approximation, which allows us to follow change through time.