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. 2017 Jul 12;7:5193. doi: 10.1038/s41598-017-05375-0

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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The function 〈P _N〉N in terms of the skewness (N = 4, death–birthMoranprocess). We assume that the mean fitness of the mutants is equal to that of the wild types, and $σ = \tilde{σ}$ . As before, 〈P _N〉N greater that unity indicates that the mutants experience selective advantage; the effect is the largest for the largest negative skewness.