A linear-time algorithm to sample the dual-birth model

Niema Moshiri

doi:10.1101/226423

Abstract

The ability to sample models of tree evolution is essential in the analysis and interpretation of phylogenetic trees. The dual-birth model is an extension of the traditional birth-only model and allows for sampling trees of varying degrees of balance. However, for a tree with n leaves, the tree sampling algorithm proposed in the original paper is 𝒪(n log n). I propose an algorithm to sample trees under the dual-birth model in 𝒪(n), and I provide a fast C++ implementation of the proposed algorithm.

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