Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Quasi equilibrium, variance effective size and fixation index for populations with substructure
Stockholms universitet, Naturvetenskapliga fakulteten, Matematiska institutionen.
Stockholms universitet, Naturvetenskapliga fakulteten, Zoologiska institutionen.ORCID-id: 0000-0003-3342-8479
2014 (Engelska)Ingår i: Journal of Mathematical Biology, ISSN 0303-6812, E-ISSN 1432-1416, Vol. 69, nr 5, s. 1057-1128Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

In this paper, we develop a method for computing the variance effective size , the fixation index and the coefficient of gene differentiation of a structured population under equilibrium conditions. The subpopulation sizes are constant in time, with migration and reproduction schemes that can be chosen with great flexibility. Our quasi equilibrium approach is conditional on non-fixation of alleles. This is of relevance when migration rates are of a larger order of magnitude than the mutation rates, so that new mutations can be ignored before equilibrium balance between genetic drift and migration is obtained. The vector valued time series of subpopulation allele frequencies is divided into two parts; one corresponding to genetic drift of the whole population and one corresponding to differences in allele frequencies among subpopulations. We give conditions under which the first two moments of the latter, after a simple standardization, are well approximated by quantities that can be explicitly calculated. This enables us to compute approximations of the quasi equilibrium values of , and . Our findings are illustrated for several reproduction and migration scenarios, including the island model, stepping stone models and a model where one subpopulation acts as a demographic reservoir. We also make detailed comparisons with a backward approach based on coalescence probabilities.

Ort, förlag, år, upplaga, sidor
2014. Vol. 69, nr 5, s. 1057-1128
Nyckelord [en]
Autoregressive time series, Island model, Quasi equilibrium, Stepping stone models, Spatial allele frequency fluctuations, Structured populations, Temporal allele frequency fluctuations
Nationell ämneskategori
Biologiska vetenskaper Matematik
Identifikatorer
URN: urn:nbn:se:su:diva-109946DOI: 10.1007/s00285-013-0728-9ISI: 000343820700001OAI: oai:DiVA.org:su-109946DiVA, id: diva2:767783
Anmärkning

AuthorCount:2;

Tillgänglig från: 2014-12-02 Skapad: 2014-12-02 Senast uppdaterad: 2022-02-23Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Övriga länkar

Förlagets fulltext

Person

Hössjer, OlaRyman, Nils

Sök vidare i DiVA

Av författaren/redaktören
Hössjer, OlaRyman, Nils
Av organisationen
Matematiska institutionenZoologiska institutionen
I samma tidskrift
Journal of Mathematical Biology
Biologiska vetenskaperMatematik

Sök vidare utanför DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetricpoäng

doi
urn-nbn
Totalt: 201 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf