Mathematical models are presented for the evolution of postmating and
premating reproductive isolation. In the case of postmating isolation it is
assumed that hybrid sterility or inviability is caused by incompatibility of alleles
at one or two loci, and evolution of reproductive isolation occurs by random
fixation of different incompatibility alleles in different populations. Mutations
are assumed to occur following either the stepwise mutation model or the
infinite-allele model. Computer simulations by using Ito's stochastic differential
equations have shown that in the model used the reproductive isolation mech-
anism evolves faster in small populations than in large populations when the
mutation rate remains the same. In populations of a given size it evolves faster
when the number of loci involved is large than when this is small. In general,
however, evolution of isolation mechanisms is a very slow process, and it would
take thousands to millions of generations if the mutation rate is of the order of 1e-5
per generation. Since gene substitution occurs as a stochastic process, the
time required for the establishment of reproductive isolation has a large vari-
ance. Although the average time of evolution of isolation mechanisms is very
long, substitution of incompatibility genes in a population occurs rather quickly
once it starts. The intrapopulational fertility or viability is always very high. In
the model of premating isolation it is assumed that mating preference or
compatibility is determined by male- and female-limited characters, each of
which is controlled by a single locus with multiple alleles, and mating occurs
only when the male and female characters are compatible with each other.
Computer simulations have shown that the dynamics of evolution of premating
isolation mechanism is very similar to that of postmating isolation mechanism,
and the mean and variance of the time required for establishment of premating
isolation are very large. Theoretical predictions obtained from the present study
about the speed of evolution of reproductive isolation are consistent with
empirical data available from vertebrate organisms.
%0 Journal Article
%1 nei1983models
%A Nei, Masatoshi
%A Maruyama, Takeo
%A Wu, Chung-I
%D 1983
%K incompatibilities simulation speciation
%N 3
%P 557--579
%T Models of evolution of reproductive isolation
%U http://www.genetics.org/content/103/3/557.short
%V 103
%X Mathematical models are presented for the evolution of postmating and
premating reproductive isolation. In the case of postmating isolation it is
assumed that hybrid sterility or inviability is caused by incompatibility of alleles
at one or two loci, and evolution of reproductive isolation occurs by random
fixation of different incompatibility alleles in different populations. Mutations
are assumed to occur following either the stepwise mutation model or the
infinite-allele model. Computer simulations by using Ito's stochastic differential
equations have shown that in the model used the reproductive isolation mech-
anism evolves faster in small populations than in large populations when the
mutation rate remains the same. In populations of a given size it evolves faster
when the number of loci involved is large than when this is small. In general,
however, evolution of isolation mechanisms is a very slow process, and it would
take thousands to millions of generations if the mutation rate is of the order of 1e-5
per generation. Since gene substitution occurs as a stochastic process, the
time required for the establishment of reproductive isolation has a large vari-
ance. Although the average time of evolution of isolation mechanisms is very
long, substitution of incompatibility genes in a population occurs rather quickly
once it starts. The intrapopulational fertility or viability is always very high. In
the model of premating isolation it is assumed that mating preference or
compatibility is determined by male- and female-limited characters, each of
which is controlled by a single locus with multiple alleles, and mating occurs
only when the male and female characters are compatible with each other.
Computer simulations have shown that the dynamics of evolution of premating
isolation mechanism is very similar to that of postmating isolation mechanism,
and the mean and variance of the time required for establishment of premating
isolation are very large. Theoretical predictions obtained from the present study
about the speed of evolution of reproductive isolation are consistent with
empirical data available from vertebrate organisms.
@article{nei1983models,
abstract = {Mathematical models are presented for the evolution of postmating and
premating reproductive isolation. In the case of postmating isolation it is
assumed that hybrid sterility or inviability is caused by incompatibility of alleles
at one or two loci, and evolution of reproductive isolation occurs by random
fixation of different incompatibility alleles in different populations. Mutations
are assumed to occur following either the stepwise mutation model or the
infinite-allele model. Computer simulations by using Ito's stochastic differential
equations have shown that in the model used the reproductive isolation mech-
anism evolves faster in small populations than in large populations when the
mutation rate remains the same. In populations of a given size it evolves faster
when the number of loci involved is large than when this is small. In general,
however, evolution of isolation mechanisms is a very slow process, and it would
take thousands to millions of generations if the mutation rate is of the order of 1e-5
per generation. Since gene substitution occurs as a stochastic process, the
time required for the establishment of reproductive isolation has a large vari-
ance. Although the average time of evolution of isolation mechanisms is very
long, substitution of incompatibility genes in a population occurs rather quickly
once it starts. The intrapopulational fertility or viability is always very high. In
the model of premating isolation it is assumed that mating preference or
compatibility is determined by male- and female-limited characters, each of
which is controlled by a single locus with multiple alleles, and mating occurs
only when the male and female characters are compatible with each other.
Computer simulations have shown that the dynamics of evolution of premating
isolation mechanism is very similar to that of postmating isolation mechanism,
and the mean and variance of the time required for establishment of premating
isolation are very large. Theoretical predictions obtained from the present study
about the speed of evolution of reproductive isolation are consistent with
empirical data available from vertebrate organisms.},
added-at = {2018-01-19T23:25:04.000+0100},
author = {Nei, Masatoshi and Maruyama, Takeo and Wu, Chung-I},
biburl = {https://www.bibsonomy.org/bibtex/2e37f432c0b8ddc6e6af74df019f20519/peter.ralph},
interhash = {087776c53d5b06cc773a68c4ba091acb},
intrahash = {e37f432c0b8ddc6e6af74df019f20519},
keywords = {incompatibilities simulation speciation},
number = 3,
pages = {557--579},
timestamp = {2018-01-19T23:25:04.000+0100},
title = {Models of evolution of reproductive isolation
},
url = {http://www.genetics.org/content/103/3/557.short},
volume = 103,
year = 1983
}