# Large-deviation properties of the extended Moran model

@article{Hartmann2017LargedeviationPO, title={Large-deviation properties of the extended Moran model}, author={Alexander K. Hartmann and Thierry Huillet}, journal={Physical Review E}, year={2017} }

The distributions of the times to the first common ancestor t_mrca is numerically studied for an ecological population model, the extended Moran model. This model has a fixed population size N. The number of descendants is drawn from a beta distribution Beta(alpha, 2-alpha) for various choices of alpha. This includes also the classical Moran model (alpha->0) as well as the uniform distribution (alpha=1). Using a statistical mechanics-based large-deviation approach, the distributions can be…

## One Citation

### Cannings models, population size changes and multiple-merger coalescents

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- 2020

This article gives a more general construction of time-changed Λ - n -coalescents as limits of specific Cannings models with rather arbitrary time changes.

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