A note on the island model with sex dependent migration

Area of Science:

• Population genetics
• Evolutionary biology
• Theoretical ecology

Background:

• Wright's island model is a foundational concept in population genetics.
• Hardy-Weinberg equilibrium describes the genetic stability of a population.
• Previous models often assumed equal migration rates between sexes.

Purpose of the Study:

• To extend Wright's island model to account for sex-specific migration rates.
• To investigate the impact of differential migration on local genetic frequencies.
• To explore implications for inferring population structure from genetic data.

Main Methods:

• Theoretical calculations based on an extended island model.
• Mathematical modeling of genetic drift and migration.
• Analysis of deviations from Hardy-Weinberg frequencies under varying migration scenarios.

Main Results:

• Local populations deviate from Hardy-Weinberg equilibrium when migration rates differ between sexes.
• Heterozygote excess or deficiency is observed depending on whether migration precedes or follows mating.
• The extent of deviation is directly proportional to the difference in sex-specific migration parameters.

Conclusions:

• Sex-biased migration significantly impacts local genetic structure.
• Departures from Hardy-Weinberg equilibrium provide insights into migration patterns.
• Findings are crucial for accurate population structure inference in ecological and evolutionary studies, as exemplified by Marmot colony research.