Statistics of selectively neutral genetic variation

Details Statistics of selectively neutral genetic variation Statistics of selectively neutral genetic variation

2001-11-29

arxiv.org/abs/physics/0111205v1

Phys. Rev. E 65, 040901 (2002)

Physics

Biological Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.65.040901

Random models of evolution are instrumental in extracting rates of microscopic evolutionary mechanisms from empirical observations on genetic variation in genome sequences. In this context it is necessary to know the statistical properties of empirical observables (such as the local homozygosity for instance). Previous work relies on numerical results or assumes Gaussian approximations for the corresponding distributions. In this paper we give an analytical derivation of the statistical properties of the local homozygosity and other empirical observables assuming selective neutrality. We find that such distributions can be very non-Gaussian.

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