Stochastic Processes

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Wright-Fisher Model

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Stochastic Processes

Definition

The Wright-Fisher model is a mathematical representation of genetic drift in finite populations, illustrating how allele frequencies change from one generation to the next. It connects population genetics to evolutionary theory, helping to understand how random sampling affects genetic variation and the fixation of alleles over time.

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5 Must Know Facts For Your Next Test

  1. The Wright-Fisher model assumes a constant population size and random mating, providing a simplified framework for studying genetic drift.
  2. It emphasizes the importance of random sampling in small populations, where allele frequencies can fluctuate significantly from one generation to the next.
  3. The model predicts that alleles can become fixed (reach 100% frequency) or lost (reach 0% frequency) purely by chance over time.
  4. The Wright-Fisher model is foundational in population genetics and serves as a basis for more complex models that incorporate factors like mutation and selection.
  5. This model highlights the difference between theoretical expectations and actual outcomes in natural populations, especially under varying environmental conditions.

Review Questions

  • How does the Wright-Fisher model illustrate the concept of genetic drift in small populations?
    • The Wright-Fisher model shows that in small populations, genetic drift can lead to significant fluctuations in allele frequencies due to random sampling effects. Because each generation is formed by randomly sampling alleles from the previous generation, some alleles may become more common while others may disappear entirely. This randomness can have a pronounced impact on genetic diversity, demonstrating how chance rather than natural selection can drive evolutionary change.
  • Discuss the assumptions made by the Wright-Fisher model and their implications for real-world populations.
    • The Wright-Fisher model makes several key assumptions, including constant population size, random mating, and no migration, mutation, or selection. These assumptions simplify the complexities of real-world populations but also highlight limitations; for example, actual populations may experience fluctuating sizes or non-random mating patterns. Understanding these assumptions helps researchers interpret the model's predictions and apply them to empirical data while acknowledging potential deviations.
  • Evaluate how the Wright-Fisher model can be applied to understand modern conservation genetics and its challenges.
    • In conservation genetics, the Wright-Fisher model serves as a vital tool for understanding how small population sizes affect genetic diversity and long-term viability. By applying this model, researchers can evaluate the risks of inbreeding and loss of genetic variation in endangered species. The insights gained from this model help inform strategies for population management and breeding programs aimed at preserving genetic diversity, thus highlighting its relevance in addressing contemporary conservation challenges.
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