Models of evolution of reproductive isolation

Area of Science:

• Evolutionary Biology
• Population Genetics
• Speciation

Background:

• Reproductive isolation is a key mechanism driving speciation.
• Understanding the evolutionary dynamics of reproductive isolation is crucial for evolutionary biology.

Purpose of the Study:

• To develop and analyze mathematical models for the evolution of both postmating and premating reproductive isolation.
• To investigate the influence of population size, mutation rates, and the number of genetic loci on the speed of reproductive isolation evolution.

Main Methods:

• Mathematical modeling of allele incompatibilities for postmating isolation.
• Modeling of mating preferences based on male- and female-limited characters for premating isolation.
• Computer simulations using Itô's stochastic differential equations to analyze evolutionary dynamics.

Main Results:

• Reproductive isolation evolves faster in smaller populations and when more genetic loci are involved.
• The evolution of isolation mechanisms is generally a slow process, requiring thousands to millions of generations.
• Premating and postmating isolation mechanisms exhibit similar evolutionary dynamics with large variances in establishment time.

Conclusions:

• The speed of reproductive isolation evolution is influenced by population size and genetic architecture.
• Despite slow average evolution, gene substitution for isolation can be rapid once initiated.
• Model predictions align with empirical observations in vertebrate speciation.