Adaptive evolution on a continuous lattice model

作者：Claudino Elder S^*; Lyra M L; Gleria Iram; Campos Paulo R A

来源：Physical Review E, 2013, 87(3): 032711.

DOI：10.1103/PhysRevE.87.032711

In the current work, we investigate the evolutionary dynamics of a spatially structured population model defined on a continuous lattice. In the model, individuals disperse at a constant rate v and competition is local and delimited by the competition radius R. Due to dispersal, the neighborhood size (number of individuals competing for reproduction) fluctuates over time. Here we address how these new variables affect the adaptive process. While the fixation probabilities of beneficial mutations are roughly the same as in a panmitic population for small fitness effects s, a dependence on v and R becomes more evident for large s. These quantities also strongly influence fixation times, but their dependencies on s are well approximated by s(-1/2), which means that the speed of the genetic wave front is proportional to root s. Most important is the observation that the model exhibits a dual behavior displaying a power-law growth for the fixation rate and speed of adaptation with the beneficial mutation rate, as observed in other spatially structured population models, while simultaneously showing a nonsaturating behavior for the speed of adaptation with the population size N, as in homogeneous populations. DOI: 10.1103/PhysRevE.87.032711

• 出版日期2013-3-15