Sergey Gavrilets  "The Maynard Smith model of sympatric speciation"  J. of Theoretical Biology


The paper entitled "Sympatric speciation," which was published by John Maynard Smith in 1966,
initiated the development of mathematical models aiming to identify the conditions for sympatric
speciation. A part of that paper was devoted to a specific two-locus, two-allele
model of sympatric speciation in a population occupying a two-niche system.
Maynard Smith provided some initial numerical results on his model. Later, \cite{dic73} and
\cite{cai78} performed more extensive numerical studies of the model. Here, I report
analytical results on the haploid version of the Maynard Smith model.
I show how the conditions for sympatric and parapatric speciation and the levels
of resulting genetic divergence and reproductive isolation are affected by the
strength of disruptive selection and nonrandom mating,
recombination rate, and the rates of male and female dispersal between the niches.