摘要翻译:
对达尔文进化论的反对意见通常是基于进行必要突变所需的时间。看起来,需要指数数量的突变。我们表明,这种估计忽略了自然选择的影响,因此必要突变的数目减少到大约$k\log{L}$,而不是$k^L$,其中$L$是基因组“字”的长度,而$k$是可以占据字中任何位置的可能“字母”的数目。所要求的理论与理论计算机科学中的基交换排序理论以及在那里发生的某些和的渐近分析有联系。
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英文标题:
《There's plenty of time for evolution》
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作者:
Herbert S. Wilf and Warren J. Ewens
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最新提交年份:
2010
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分类信息:
一级分类:Mathematics 数学
二级分类:Probability 概率
分类描述:Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用:例如中心极限定理,大偏差,随机微分方程,统计力学模型,排队论
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一级分类:Quantitative Biology 数量生物学
二级分类:Other Quantitative Biology 其他定量生物学
分类描述:Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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一级分类:Quantitative Biology 数量生物学
二级分类:Populations and Evolution 种群与进化
分类描述:Population dynamics, spatio-temporal and epidemiological models, dynamic speciation, co-evolution, biodiversity, foodwebs, aging; molecular evolution and phylogeny; directed evolution; origin of life
种群动力学;时空和流行病学模型;动态物种形成;协同进化;生物多样性;食物网;老龄化;分子进化和系统发育;定向进化;生命起源
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英文摘要:
Objections to Darwinian evolution are often based on the time required to carry out the necessary mutations. Seemingly, exponential numbers of mutations are needed. We show that such estimates ignore the effects of natural selection, and that the numbers of necessary mutations are thereby reduced to about $K\log{L}$, rather than $K^L$, where $L$ is the length of the genomic "word", and $K$ is the number of possible "letters" that can occupy any position in the word. The required theory makes contact with the theory of radix-exchange sorting in theoretical computer science, and the asymptotic analysis of certain sums that occur there.
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PDF链接:
https://arxiv.org/pdf/1010.5178