Skip to main content
Journal cover image

A coalescent model for the effect of advantageous mutations on the genealogy of a population

Publication ,  Journal Article
Durrett, R; Schweinsberg, J
Published in: Stochastic Processes and their Applications
October 1, 2005

When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, when we sample n individuals from a population and trace their ancestral lines backwards in time, many lineages may coalesce almost instantaneously at the time of a selective sweep. We show that as the population size goes to infinity, this process converges to a coalescent process called a coalescent with multiple collisions. A better approximation for finite populations can be obtained using a coalescent with simultaneous multiple collisions. We also show how these coalescent approximations can be used to get insight into how beneficial mutations affect the behavior of statistics that have been used to detect departures from the usual Kingman's coalescent. © 2005 Elsevier B.V. All rights reserved.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Stochastic Processes and their Applications

DOI

ISSN

0304-4149

Publication Date

October 1, 2005

Volume

115

Issue

10

Start / End Page

1628 / 1657

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 1502 Banking, Finance and Investment
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Durrett, R., & Schweinsberg, J. (2005). A coalescent model for the effect of advantageous mutations on the genealogy of a population. Stochastic Processes and Their Applications, 115(10), 1628–1657. https://doi.org/10.1016/j.spa.2005.04.009
Durrett, R., and J. Schweinsberg. “A coalescent model for the effect of advantageous mutations on the genealogy of a population.” Stochastic Processes and Their Applications 115, no. 10 (October 1, 2005): 1628–57. https://doi.org/10.1016/j.spa.2005.04.009.
Durrett R, Schweinsberg J. A coalescent model for the effect of advantageous mutations on the genealogy of a population. Stochastic Processes and their Applications. 2005 Oct 1;115(10):1628–57.
Durrett, R., and J. Schweinsberg. “A coalescent model for the effect of advantageous mutations on the genealogy of a population.” Stochastic Processes and Their Applications, vol. 115, no. 10, Oct. 2005, pp. 1628–57. Scopus, doi:10.1016/j.spa.2005.04.009.
Durrett R, Schweinsberg J. A coalescent model for the effect of advantageous mutations on the genealogy of a population. Stochastic Processes and their Applications. 2005 Oct 1;115(10):1628–1657.
Journal cover image

Published In

Stochastic Processes and their Applications

DOI

ISSN

0304-4149

Publication Date

October 1, 2005

Volume

115

Issue

10

Start / End Page

1628 / 1657

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 4901 Applied mathematics
  • 1502 Banking, Finance and Investment
  • 0104 Statistics
  • 0102 Applied Mathematics