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Summary
In age-structured populations, sex-linked gene frequencies oscillate, especially with a finite lifespan. Monotonic convergence occurs only without an age limit and with substantial generation overlap.
Area of Science:
- Population genetics
- Evolutionary biology
- Mathematical modeling
Background:
- Understanding gene frequency dynamics is crucial for evolutionary studies.
- Previous models often simplified population structures, neglecting age and overlapping generations.
Purpose of the Study:
- To investigate the convergence of sex-linked gene frequencies in discrete time, age-structured populations.
- To analyze the impact of age limits and generation overlap on allele frequency dynamics.
Main Methods:
- Development of discrete time models for age-structured populations.
- Analysis of allele frequency differences between sexes over time.
- Comparison with continuous-time models and non-overlapping generation scenarios.
Main Results:
- Allele frequency differences oscillate in models with a finite upper age limit.
- Oscillations can be irregular, differing from simpler models.
- Monotonic convergence is observed only in models lacking an upper age limit and featuring significant generation overlap.
Conclusions:
- Age structure and finite lifespans introduce complex dynamics to sex-linked gene frequency convergence.
- The conditions for monotonic convergence are more restrictive than previously suggested for continuous-time models.
- Discrete time models reveal nuanced patterns in population genetic processes.