• Corpus ID: 527975

The historical Moran model

  title={The historical Moran model},
  author={Peter Seidel},
  journal={arXiv: Probability},
  • P. Seidel
  • Published 18 November 2015
  • Mathematics
  • arXiv: Probability
We consider a multi-type Moran model (in continuous time) with selection and typedependent mutation. This paper is concerned with the evolution of genealogical information forward in time. For this purpose we dene and analytically characterize a pathvalued Markov process that contains in its state at time t the extended ancestral lines (adding genealogical distances) of the population alive at time t. The main result is a representation for the conditional distribution of the extended ancestral… 

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