Klassmann, A. and Ferretti, L. (2018). The third moments of the site frequency spectrum. Theor. Popul. Biol., 120. S. 16 - 29. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0325
Full text not available from this repository.Abstract
The analysis of patterns of segregating (i.e. polymorphic) sites in aligned sequences is routine in population genetics. Quantities of interest include the total number of segregating sites and the number of sites with mutations of different frequencies, the so-called site frequency spectrum. For neutrally evolving sequences, some classical results are available, including the expected value and variance of the spectrum in the Kingman coalescent model without recombination as calculated by Fu (1995). In this work, we use similar techniques to compute the third moments of the frequencies of three linked sites. Based on these results, we derive analytical results for the bias of Tajima's D and other neutrality tests. As a corollary, we obtain the second moments of the frequencies of two linked mutations conditional on the presence of a third mutation with a certain frequency. These moments can be used for the normalisation of new neutrality tests relying on these spectra. (C) 2017 The Authors. Published by Elsevier Inc.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-194254 | ||||||||||||
DOI: | 10.1016/j.tpb.2017.12.002 | ||||||||||||
Journal or Publication Title: | Theor. Popul. Biol. | ||||||||||||
Volume: | 120 | ||||||||||||
Page Range: | S. 16 - 29 | ||||||||||||
Date: | 2018 | ||||||||||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||
Place of Publication: | SAN DIEGO | ||||||||||||
ISSN: | 1096-0325 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/19425 |
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