SMILE

Stochastic Models for the Inference of Life Evolution

Allele fixation in a dynamic metapopulation: founder effects vs refuge effects

Aguilée, R., Claessen, D., Lambert, A.

Theoretical Population Biology

2009

The fixation of mutant alleles has been studied with models assuming various spatial population structures. In these models, the structure of the metapopulation that we call the "landscape" (number, size and connectivity of subpopulations) is often static. However, natural populations are subject to repetitive population size variations, fragmentation and secondary contacts at different spatiotemporal scales due to geological, climatic and ecological processes. In this paper, we examine how such dynamic landscapes can alter mutant fixation probability and time to fixation. We consider three stochastic landscape dynamics: (i) the population is subject to repetitive bottlenecks, (ii) to the repeated alternation of fragmentation and fusion of demes with a constant population carrying capacity, (iii) idem with a variable carrying capacity. We show by deriving a variance, a coalescent and a harmonic mean population effective size, and with simulations that these landscape dynamics generate repetitive founder effects which counteract selection, thereby decreasing the fixation probability of an advantageous mutant but accelerate fixation when it occurs. For models (ii) and (iii), we also highlight an antagonistic "refuge effect" which can strongly delay mutant fixation. The predominance of either founder effects or refuge effects determines the time to fixation and mainly depends on the characteristic time scales of the landscape dynamics.

Bibtex

@article{aguilee_allele_2009,
Author = {Aguilée, Robin and Claessen, David and Lambert,
Amaury},
Title = {Allele fixation in a dynamic metapopulation: founder
effects vs refuge effects},
Journal = {Theoretical Population Biology},
Volume = {76},
Number = {2},
Pages = {105--117},
abstract = {The fixation of mutant alleles has been studied with
models assuming various spatial population structures.
In these models, the structure of the metapopulation
that we call the "landscape" (number, size and
connectivity of subpopulations) is often static.
However, natural populations are subject to repetitive
population size variations, fragmentation and secondary
contacts at different spatiotemporal scales due to
geological, climatic and ecological processes. In this
paper, we examine how such dynamic landscapes can alter
mutant fixation probability and time to fixation. We
consider three stochastic landscape dynamics: (i) the
population is subject to repetitive bottlenecks, (ii)
to the repeated alternation of fragmentation and fusion
of demes with a constant population carrying capacity,
(iii) idem with a variable carrying capacity. We show
by deriving a variance, a coalescent and a harmonic
mean population effective size, and with simulations
that these landscape dynamics generate repetitive
founder effects which counteract selection, thereby
decreasing the fixation probability of an advantageous
mutant but accelerate fixation when it occurs. For
models (ii) and (iii), we also highlight an
antagonistic "refuge effect" which can strongly delay
mutant fixation. The predominance of either founder
effects or refuge effects determines the time to
fixation and mainly depends on the characteristic time
scales of the landscape dynamics.},
doi = {10.1016/j.tpb.2009.05.003},
issn = {1096-0325},
language = {eng},
month = sep,
pmid = {19464307},
shorttitle = {Allele fixation in a dynamic metapopulation},
year = 2009
}

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