19 dubious ways to compute the marginal likelihood of a phylogenetic tree topology.

@article{Fourment201819DW,
  title={19 dubious ways to compute the marginal likelihood of a phylogenetic tree topology.},
  author={Mathieu Fourment and Andrew F. Magee and Chris Whidden and Arman Bilge and Frederick Albert Matsen IV and Vladimir N. Minin},
  journal={Systematic biology},
  year={2018}
}
The marginal likelihood of a model is a key quantity for assessing the evidence provided by the data in support of a model. The marginal likelihood is the normalizing constant for the posterior density, obtained by integrating the product of the likelihood and the prior with respect to model parameters. Thus, the computational burden of computing the marginal likelihood scales with the dimension of the parameter space. In phylogenetics, where we work with tree topologies that are high… 
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