无性种群适应率的上界
Upper bound on the rate of adaptation in an asexual population
摘要：
我们考虑一个无性繁殖个体的模型。个体的出生率和死亡率受适应度参数的影响。导致适应度变化的突变率与总体规模N成正比。突变可能是有益的或有害的。在Yu，Etheridge和Cuthbertson的论文中[Ann. Appl. Probab. 20（2010）978-1004]，表明对于任何$δ>0$，该模型中的平均适合度增加的平均速率以$\log^{1-δ}N$为界。我们实现了$O(\log N/(\log\log N)^2)$的平均适应度增加的平均速率的上界。
英文摘要：
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 $\log^{1-δ}N$ for any $δ>0$. We achieve an upper bound on the average rate at which the mean fitness increases of $O(\log N/(\log\log N)^2)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
