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Keywords
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Genetic Distance
Genetics
Local Adaptation
Mathematical Model
Mutation Rate
Random Genetic Drift
Reproductive Isolation
Time Scale
Waiting Time
Random Walk
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Waiting time to (and duration of) parapatric speciation
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Waiting time to (and duration of) parapatric speciation
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Sergey Gavrilets
Using a weak migration and weak mutation approximation, I study the average
waiting time
to and the average duration of parapatric speciation. The description of
reproductive isolation
used is based on the classical Dobzhansky model and its recently proposed multilocus generalizations. The dynamics of parapatric speciation is modeled as a biased
random walk
with absorption performed by the average
genetic distance
between the residents and immigrants. If a small number of genetic changes is sufficient for complete reproductive isolation, mutation and
random genetic drift
alone can cause speciation on the
time scale
of 10-1000 times the inverse of the mutation rate. Even relatively weak selection for
local adaptation
can dramatically decrease the
waiting time
to speciation. The duration of parapatric speciation is shorter by orders of magnitude than the
waiting time
to speciation. For a wide range of parameter values, the duration of speciation is order one over the mutation rate. In general, parapatric speciation is expected to be triggered by changes in the environment.
Published in 2000.
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(42)
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Journal:
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