Lines of Descent Under Selection

@article{Baake2017LinesOD,
  title={Lines of Descent Under Selection},
  author={Ellen Baake and A. Wakolbinger},
  journal={Journal of Statistical Physics},
  year={2017},
  volume={172},
  pages={156-174}
}
We review recent progress on ancestral processes related to mutation-selection models, both in the deterministic and the stochastic setting. We mainly rely on two concepts, namely, the killed ancestral selection graph and the pruned lookdown ancestral selection graph. The killed ancestral selection graph gives a representation of the type of a random individual from a stationary population, based upon the individual’s potential ancestry back until the mutations that define the individual’s type… 
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