The longest branches in a non-Markovian phylogenetic tree

Sergey Bocharov; Simon C. Harris; Bastien Mallein

The longest branches in a non-Markovian phylogenetic tree

Probability 2024-10-17 v2 Populations and Evolution

Authors: Sergey Bocharov , Simon C. Harris , Bastien Mallein

Abstract

Consider a Bellman--Harris-type branching process, in which individuals evolve independently of one another, giving birth after a random time $T$ to a random number $L$ of children. In this article, we study the asymptotic behaviour of the length of the longest branches of this branching process at time $t$ , both pendant branches (corresponding to individuals still alive at time $t$ ) and interior branches (corresponding to individuals dead before time $t$ ).

Keywords

branching process phylogenetic tree longest branches non-Markovian asymptotic behavior

Cite

@article{arxiv.2410.02444,
  title  = {The longest branches in a non-Markovian phylogenetic tree},
  author = {Sergey Bocharov and Simon C. Harris and Bastien Mallein},
  journal= {arXiv preprint arXiv:2410.02444},
  year   = {2024}
}

Comments

13 pages, correction of an error in the previous version of that article

The longest branches in a non-Markovian phylogenetic tree

Abstract

Keywords

Cite

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