2008م - 1444هـ
نبذه عن الكتاب:



Rate of Adaptation of Large Populations

Feng Yu and Alison Etheridge

Abstract We consider the accumulation of beneficial and deleterious mutations in

asexual populations. The rate of adaptation is affected by the total mutation rate,

proportion of beneficial mutations, and population size N. We describe two models:

a strong selection model for large population size and a weak selection model for

moderate population size. For the strong selection model, we give an argument to

show that regardless of mutation rates, as long as the proportion of beneficial mutations is strictly positive, the adaptation rate is at least O(log1−δ N), if the population

size is sufficiently large. For the weak selection model, we use a Girsanov transform

to perform some preliminary calculations that shed new light on the adaptation rate.