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Area of Science:

  • Population Genetics
  • Evolutionary Biology
  • Computational Biology

Background:

  • Forward and backward simulations are crucial for inferring evolutionary forces.
  • Developing fast and accurate simulation methods for general population genetics models is essential.

Purpose of the Study:

  • To present an exact simulation method for allele frequency trajectories in finite populations.
  • To generate conditioned trajectories for general Wright-Fisher models.
  • To provide a simulation tool applicable irrespective of transition probabilities.

Main Methods:

  • An exact simulation method generating allele frequency trajectories.
  • Conditioned trajectory generation from a known initial frequency and time to a specific final frequency and time.
  • Application to multi-allele loci, selection, mutation, and metapopulations.

Main Results:

  • The method simulates allele frequency trajectories accurately and efficiently.
  • It handles various population genetics models, including selection, mutation, and migration.
  • The simulations are not based on trajectory rejection, accommodating low-probability transitions.

Conclusions:

  • The developed simulation method is a valuable tool for population genetics research.
  • It facilitates visualization, estimation of summary statistics, and development/testing of inferential methods.
  • The approach is applicable to finite Markov chains beyond the Wright-Fisher model.