From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution

@inproceedings{Champagnat2008FromIS,
  title={From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution},
  author={Nicolas Champagnat and Regis Ferriere and Sylvie M{\'e}l{\'e}ard},
  year={2008}
}
We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population of discrete individuals characterized by one or several adaptive traits. The population is modelled as a stochastic point process whose generator captures the probabilistic dynamics over continuous time of birth, mutation, and death, as influenced by each… CONTINUE READING