The effect of the dispersal kernel on isolation-by-distance in a continuous population

Tara N. Furstenau, Reed A. Cartwright

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Under models of isolation-by-distance, population structure is determined by the probability of identity-by-descent between pairs of genes according to the geographic distance between them. Well established analytical results indicate that the relationship between geographical and genetic distance depends mostly on the neighborhood size of the population which represents a standardized measure of gene flow. To test this prediction, we model local dispersal of haploid individuals on a two-dimensional landscape using seven dispersal kernels: Rayleigh, exponential, half-normal, triangular, gamma, Lomax and Pareto. When neighborhood size is held constant, the distributions produce similar patterns of isolation-by-distance, confirming predictions. Considering this, we propose that the triangular distribution is the appropriate null distribution for isolation-by-distance studies. Under the triangular distribution, dispersal is uniform over the neighborhood area which suggests that the common description of neighborhood size as a measure of an effective, local panmictic population is valid for popular families of dispersal distributions. We further show how to draw random variables from the triangular distribution efficiently and argue that it should be utilized in other studies in which computational efficiency is important.

Original languageEnglish (US)
Article number1848
JournalPeerJ
Volume2016
Issue number3
DOIs
StatePublished - 2016

Fingerprint

Genes
prediction
Computational efficiency
seeds
Random variables
haploidy
Population
genetic distance
gene flow
population structure
population size
Gene Flow
Haploidy
Population Density
genes
testing

Keywords

  • Correlograms
  • Fine scale
  • Identity-by-descent
  • Individual based
  • Kinship coefficients
  • Neighborhood size
  • Simulation
  • Triangular distribution

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)
  • Neuroscience(all)

Cite this

The effect of the dispersal kernel on isolation-by-distance in a continuous population. / Furstenau, Tara N.; Cartwright, Reed A.

In: PeerJ, Vol. 2016, No. 3, 1848, 2016.

Research output: Contribution to journalArticle

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