A coalescent dual process in a Moran model with genic selection.

@article{Etheridge2009ACD,
  title={A coalescent dual process in a Moran model with genic selection.},
  author={Alison M. Etheridge and Robert C. Griffiths},
  journal={Theoretical population biology},
  year={2009},
  volume={75 4},
  pages={320-30}
}
A coalescent dual process for a multi-type Moran model with genic selection is derived using a generator approach. This leads to an expansion of the transition functions in the Moran model and the Wright-Fisher diffusion process limit in terms of the transition functions for the coalescent dual. A graphical representation of the Moran model (in the spirit of Harris) identifies the dual as a strong dual process following typed lines backwards in time. An application is made to the harmonic… CONTINUE READING

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