UPPER BOUND ON THE RATE OF ADAPTATION IN AN ASEXUAL POPULATION

• 成果类型: Article
• 署名作者: Kelly, Michael
• 署名单位: University of California System; University of California San Diego
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/12-AAP873
• 发表日期: 2013
• 页码: 1377-1408
• 关键词: LINKAGE

摘要

We consider a model of asexually reproducing individuals. The birth and death rates of the individuals are affected by a fitness parameter. The rate of mutations that cause the fitnesses to change is proportional to the population size, N. The mutations may be either beneficial or deleterious. In a paper by Yu, Etheridge and Cuthbertson [Ann. Appl. Probab. 20 (2010) 978-1004] it was shown that the average rate at which the mean fitness increases in this model is bounded below by log(1-delta) N for any delta > 0. We achieve an upper bound on the average rate at which the mean fitness increases of O (log N/(log log N)(2)).