A Stochastic Model for Reproductive Isolation Under Asymmetrical Mating Preferences

Area of Science:

• Evolutionary biology
• Population genetics
• Speciation mechanisms

Background:

• Mating preference is a key driver of reproductive isolation.
• Asymmetrical mating preferences are common in natural populations.
• Trait-specific migration rates can influence population dynamics.

Purpose of the Study:

• To investigate how asymmetrical mating preferences interact with frequency-dependent migration to cause reproductive isolation.
• To model the time required for reproductive isolation to occur.
• To analyze the influence of migration and mating preference parameters on the speed of isolation.

Main Methods:

• Analysis of a haploid population model on two linked patches.
• Mathematical modeling of a limiting dynamical system.
• Perturbation methods to incorporate migration into the model.

Main Results:

• Mating preference combined with frequency-dependent migration can lead to reproductive isolation.
• The model describes the dynamics and time course of isolation.
• High migration rates favor individuals with weaker mating preferences.

Conclusions:

• Trait-dependent mating preferences and migration are significant factors in speciation.
• Understanding these interactions is crucial for predicting evolutionary trajectories.
• Migration rates play a complex role, potentially hindering or facilitating isolation depending on preference strength.