Moran model as a dynamical process on networks and its implications for neutral speciation

摘要: In population genetics, the Moran model describes neutral evolution of a biallelic gene in haploid individuals subjected to mutations. We show this paper that can be mapped into an influence dynamical process on networks external influences. The panmictic case considered by corresponds fully connected and completely solved terms hypergeometric functions. Other types correspond structured populations, for which approximate solutions are also available. This approach classic leads relation between regular based spatial grids mechanism isolation distance. discuss consequences connection topopatric speciation theory biodiversity. effect mutations where mate only with neighbors, is greatly enhanced respect case. If mating further constrained genetic proximity individuals, balance opposing tendencies takes place: increasing diversity promoted effective versus decreasing similarity mates. Resolution large enough occurs through via pattern formation. derive explicit expression indicates when possible involving parameters characterizing population. time reduced comparison