English

Species tree estimation under joint modeling of coalescence and duplication: sample complexity of quartet methods

Probability 2020-07-15 v1 Statistics Theory Populations and Evolution Statistics Theory

Abstract

We consider species tree estimation under a standard stochastic model of gene tree evolution that incorporates incomplete lineage sorting (as modeled by a coalescent process) and gene duplication and loss (as modeled by a branching process). Through a probabilistic analysis of the model, we derive sample complexity bounds for widely used quartet-based inference methods that highlight the effect of the duplication and loss rates in both subcritical and supercritical regimes.

Keywords

Cite

@article{arxiv.2007.06697,
  title  = {Species tree estimation under joint modeling of coalescence and duplication: sample complexity of quartet methods},
  author = {Max Hill and Brandon Legried and Sebastien Roch},
  journal= {arXiv preprint arXiv:2007.06697},
  year   = {2020}
}

Comments

35 pages, 1 figure