@article{debarre_quantifying_2013,
Author = {Débarre, F. and Ronce, O. and Gandon, S.},
Title = {Quantifying the effects of migration and mutation on
adaptation and demography in spatially heterogeneous
environments},
Journal = {Journal of Evolutionary Biology},
Volume = {26},
Number = {6},
Pages = {1185--1202},
Keywords = {Adaptation, Physiological, Animal Migration, Animals,
Demography, Humans, Models, Biological, Mutation},
abstract = {How do mutation and gene flow influence population
persistence, niche expansion and local adaptation in
spatially heterogeneous environments? In this article,
we analyse a demographic and evolutionary model of
adaptation to an environment containing two habitats in
equal frequencies, and we bridge the gap between
different theoretical frameworks. Qualitatively, our
model yields four qualitative types of outcomes: (i)
global extinction of the population, (ii) adaptation to
one habitat only, but also adaptation to both habitats
with, (iii) specialized phenotypes or (iv) with
generalized phenotypes, and we determine the conditions
under which each equilibrium is reached. We derive new
analytical approximations for the local densities and
the distributions of traits in each habitat under a
migration-selection-mutation balance, compute the
equilibrium values of the means, variances and
asymmetries of the local distributions of phenotypes,
and contrast the effects of migration and mutation on
the evolutionary outcome. We then check our analytical
results by solving our model numerically, and also
assess their robustness in the presence of demographic
stochasticity. Although increased migration results in
a decrease in local adaptation, mutation in our model
does not influence the values of the local mean traits.
Yet, both migration and mutation can have dramatic
effects on population size and even lead to
metapopulation extinction when selection is strong.
Niche expansion, the ability for the population to
adapt to both habitats, can also be prevented by small
migration rates and a reduced evolutionary potential
characterized by rare mutation events of small effects;
however, niche expansion is otherwise the most likely
outcome. Although our results are derived under the
assumption of clonal reproduction, we finally show and
discuss the links between our model and previous
quantitative genetics models.},
doi = {10.1111/jeb.12132},
issn = {1420-9101},
language = {eng},
month = jun,
pmid = {23639097},
year = 2013
}
Author = {Débarre, F. and Ronce, O. and Gandon, S.},
Title = {Quantifying the effects of migration and mutation on
adaptation and demography in spatially heterogeneous
environments},
Journal = {Journal of Evolutionary Biology},
Volume = {26},
Number = {6},
Pages = {1185--1202},
Keywords = {Adaptation, Physiological, Animal Migration, Animals,
Demography, Humans, Models, Biological, Mutation},
abstract = {How do mutation and gene flow influence population
persistence, niche expansion and local adaptation in
spatially heterogeneous environments? In this article,
we analyse a demographic and evolutionary model of
adaptation to an environment containing two habitats in
equal frequencies, and we bridge the gap between
different theoretical frameworks. Qualitatively, our
model yields four qualitative types of outcomes: (i)
global extinction of the population, (ii) adaptation to
one habitat only, but also adaptation to both habitats
with, (iii) specialized phenotypes or (iv) with
generalized phenotypes, and we determine the conditions
under which each equilibrium is reached. We derive new
analytical approximations for the local densities and
the distributions of traits in each habitat under a
migration-selection-mutation balance, compute the
equilibrium values of the means, variances and
asymmetries of the local distributions of phenotypes,
and contrast the effects of migration and mutation on
the evolutionary outcome. We then check our analytical
results by solving our model numerically, and also
assess their robustness in the presence of demographic
stochasticity. Although increased migration results in
a decrease in local adaptation, mutation in our model
does not influence the values of the local mean traits.
Yet, both migration and mutation can have dramatic
effects on population size and even lead to
metapopulation extinction when selection is strong.
Niche expansion, the ability for the population to
adapt to both habitats, can also be prevented by small
migration rates and a reduced evolutionary potential
characterized by rare mutation events of small effects;
however, niche expansion is otherwise the most likely
outcome. Although our results are derived under the
assumption of clonal reproduction, we finally show and
discuss the links between our model and previous
quantitative genetics models.},
doi = {10.1111/jeb.12132},
issn = {1420-9101},
language = {eng},
month = jun,
pmid = {23639097},
year = 2013
}