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Evolution of highly fecund haploid populations

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  • Eldon, Bjarki
  • Stephan, Wolfgang

Abstract

We consider a model of viability selection in a highly fecund haploid population with sweepstakes reproduction. We use simulations to estimate the time until the allelic type with highest fitness has reached high frequency in a finite population. We compare the time between two reproduction modes of high and low fecundity. We also consider the probability that the allelic type with highest fitness is lost from the population before reaching high frequency. Our simulation results indicate that highly fecund populations can evolve faster (in some cases much faster) than populations of low fecundity. However, high fecundity and sweepstakes reproduction also confer much higher risk of losing the allelic type with highest fitness from the population by chance. The impact of selection on driving alleles to high frequency varies depending on the trait value conferring highest fitness; in some cases the effect of selection can hardly be detected.

Suggested Citation

  • Eldon, Bjarki & Stephan, Wolfgang, 2018. "Evolution of highly fecund haploid populations," Theoretical Population Biology, Elsevier, vol. 119(C), pages 48-56.
  • Handle: RePEc:eee:thpobi:v:119:y:2018:i:c:p:48-56
    DOI: 10.1016/j.tpb.2017.10.002
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    References listed on IDEAS

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    1. Blath, Jochen & Cronjäger, Mathias Christensen & Eldon, Bjarki & Hammer, Matthias, 2016. "The site-frequency spectrum associated with Ξ-coalescents," Theoretical Population Biology, Elsevier, vol. 110(C), pages 36-50.
    2. Der, Ricky & Epstein, Charles L. & Plotkin, Joshua B., 2011. "Generalized population models and the nature of genetic drift," Theoretical Population Biology, Elsevier, vol. 80(2), pages 80-99.
    3. Schweinsberg, Jason, 2003. "Coalescent processes obtained from supercritical Galton-Watson processes," Stochastic Processes and their Applications, Elsevier, vol. 106(1), pages 107-139, July.
    4. Kermany, Amir R. & Lessard, Sabin, 2012. "Effect of epistasis and linkage on fixation probability in three-locus models: An ancestral recombination–selection graph approach," Theoretical Population Biology, Elsevier, vol. 82(2), pages 131-145.
    5. Steinrücken, Matthias & Birkner, Matthias & Blath, Jochen, 2013. "Analysis of DNA sequence variation within marine species using Beta-coalescents," Theoretical Population Biology, Elsevier, vol. 87(C), pages 15-24.
    6. Sargsyan, Ori & Wakeley, John, 2008. "A coalescent process with simultaneous multiple mergers for approximating the gene genealogies of many marine organisms," Theoretical Population Biology, Elsevier, vol. 74(1), pages 104-114.
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    1. Bjarki Eldon, 2023. "Viability Selection at Linked Sites," Mathematics, MDPI, vol. 11(3), pages 1-23, January.

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