English

Expectation of the Site Frequency Spectrum

Populations and Evolution 2021-03-02 v1

Abstract

The site frequency spectrum describes variation among a set of n DNA sequences. Its i'th entry (i=1,2,...,n-1) is the number of nucleotide sites at which the mutant allele is present in i copies. Under selective neutrality, random mating, and constant population size, the expected value of the spectrum is well known but somewhat puzzling. Each additional sequence added to a sample adds an entry to the end of the expected spectrum but does not affect existing entries. This note reviews the reasons for this behavior.

Cite

@article{arxiv.2103.00335,
  title  = {Expectation of the Site Frequency Spectrum},
  author = {Alan R. Rogers and Stephen P. Wooding},
  journal= {arXiv preprint arXiv:2103.00335},
  year   = {2021}
}

Comments

3 pages; 1 figure; no plans to publish elsewhere

R2 v1 2026-06-23T23:34:31.751Z