%0 Journal Article %1 schweinsberg2017rigorous %A Schweinsberg, Jason %D 2017 %I Institute of Mathematical Statistics %J Electronic Journal of Probability %K Bolthausen-Sznitman_coalescent fitness_wave rapid_adaptation %N 0 %R 10.1214/17-ejp57 %T Rigorous results for a population model with selection I: evolution of the fitness distribution %U https://doi.org/10.1214%2F17-ejp57 %V 22 %X We consider a model of a population of fixed size NN undergoing selection. Each individual acquires beneficial mutations at rate μNμN, and each beneficial mutation increases the individual’s fitness by sNsN. Each individual dies at rate one, and when a death occurs, an individual is chosen with probability proportional to the individual’s fitness to give birth. Under certain conditions on the parameters μNμN and sNsN, we obtain rigorous results for the rate at which mutations accumulate in the population and the distribution of the fitnesses of individuals in the population at a given time. Our results confirm predictions of Desai and Fisher (2007).

@article{schweinsberg2017rigorous, abstract = {We consider a model of a population of fixed size NN undergoing selection. Each individual acquires beneficial mutations at rate μNμN, and each beneficial mutation increases the individual’s fitness by sNsN. Each individual dies at rate one, and when a death occurs, an individual is chosen with probability proportional to the individual’s fitness to give birth. Under certain conditions on the parameters μNμN and sNsN, we obtain rigorous results for the rate at which mutations accumulate in the population and the distribution of the fitnesses of individuals in the population at a given time. Our results confirm predictions of Desai and Fisher (2007).}, added-at = {2017-10-02T08:55:52.000+0200}, author = {Schweinsberg, Jason}, biburl = {https://www.bibsonomy.org/bibtex/2d29de07b6110d87385ed176c9ed68d33/peter.ralph}, doi = {10.1214/17-ejp57}, interhash = {a9f859005b6e292b25f50018327cb9b8}, intrahash = {d29de07b6110d87385ed176c9ed68d33}, journal = {Electronic Journal of Probability}, keywords = {Bolthausen-Sznitman_coalescent fitness_wave rapid_adaptation}, number = 0, publisher = {Institute of Mathematical Statistics}, timestamp = {2017-10-02T08:55:52.000+0200}, title = {Rigorous results for a population model with selection {I}: evolution of the fitness distribution}, url = {https://doi.org/10.1214%2F17-ejp57}, volume = 22, year = 2017 }