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Under the multispecies coalescent model of molecular evolution, gene trees have independent evolutionary histories within a shared species tree. In comparison, supermatrix concatenation methods assume that gene trees share a single common…

种群与进化 · 定量生物学 2016-06-13 Huw A. Ogilvie , Joseph Heled , Dong Xie , Alexei J. Drummond

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

应用统计 · 统计学 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

Phylogenetic trees (i.e. evolutionary trees, additive trees or X-trees) play a key role in the processes of modeling and representing species evolution. Genome evolution of a given group of species is usually modeled by a species…

种群与进化 · 定量生物学 2023-01-03 Vladimir Makarenkov , Gayane S. Barseghyan , Nadia Tahiri

In order to conduct a statistical analysis on a given set of phylogenetic gene trees, we often use a distance measure between two trees. In a statistical distance-based method to analyze discordance between gene trees, it is a key to decide…

种群与进化 · 定量生物学 2016-02-05 Jing Xi , Jin Xie , Ruriko Yoshida

We consider the problem of estimating species trees from unrooted gene tree topologies in the presence of incomplete lineage sorting, a common phenomenon that creates gene tree heterogeneity in multilocus datasets. One popular class of…

种群与进化 · 定量生物学 2018-12-21 Sebastien Roch

Species trees represent the historical divergences of populations or species, while gene trees trace the ancestry of individual gene copies sampled within those populations. In cases involving rapid speciation, gene trees with topologies…

种群与进化 · 定量生物学 2015-08-28 James H. Degnan , John A. Rhodes

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

种群与进化 · 定量生物学 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

Bayesian phylogenetics is vital for understanding evolutionary dynamics, and requires accurate and efficient approximation of posterior distributions over trees. In this work, we develop a variational Bayesian approach for ultrametric…

机器学习 · 统计学 2026-02-16 Evan Sidrow , Alexandre Bouchard-Côté , Lloyd T. Elliott

The goal of these lectures is to review some mathematical aspects of random tree models used in evolutionary biology to model gene trees or species trees. We start with stochastic models of tree shapes (finite trees without edge lengths),…

概率论 · 数学 2017-08-30 Amaury Lambert

The coalescent revolutionised theoretical population genetics, simplifying, or making possible for the first time, many analyses, proofs, and derivations, and offering crucial insights about the way in which the structure of data in samples…

统计方法学 · 统计学 2010-06-09 Peter Donnelly , Stephen Leslie

Species tree reconstruction is complicated by effects of Incomplete Lineage Sorting (ILS), commonly modeled by the multi-species coalescent model. While there has been substantial progress in developing methods that estimate a species tree…

定量方法 · 定量生物学 2016-05-10 Erfan Sayyari , Siavash Mirarab

We study the influence of the seed in random trees grown according to the uniform attachment model, also known as uniform random recursive trees. We show that different seeds lead to different distributions of limiting trees from a total…

概率论 · 数学 2014-10-22 Sébastien Bubeck , Ronen Eldan , Elchanan Mossel , Miklós Z. Rácz

The standard approach to estimate species trees is to align a selected set of genes, concatenate the alignments and then estimate a consensus tree. However, individual genes contain differing levels of evolutionary information, either…

种群与进化 · 定量生物学 2021-11-29 Ali Amiryousefi

Recently, there has been interest in extending long-known results about the multispecies coalescent tree to other models of gene trees. Results about the gene duplication and loss (GDL) tree have mathematical proofs, including species tree…

种群与进化 · 定量生物学 2024-04-01 Brandon Legried

The reliability of a phylogenetic inference method from genomic sequence data is ensured by its statistical consistency. Bayesian inference methods produce a sample of phylogenetic trees from the posterior distribution given sequence data.…

度量几何 · 数学 2016-06-10 Alex Gavryushkin , Alexei J. Drummond

Phylogenetic species trees typically represent the speciation history as a bifurcating tree. Speciation events that simultaneously create more than two descendants, thereby creating polytomies in the phylogeny, are possible. Moreover, the…

种群与进化 · 定量生物学 2018-02-08 Erfan Sayyari , Siavash Mirarab

We show that many topological features of level-1 species networks are identifiable from the distribution of the gene tree quartets under the network multi-species coalescent model. In particular, every cycle of size at least 4 and every…

种群与进化 · 定量生物学 2017-11-30 Hector Baños

In a series of recent works it has been shown that a class of simple models of evolving populations under selection leads to genealogical trees whose statistics are given by the Bolthausen-Sznitman coalescent rather than by the well known…

无序系统与神经网络 · 物理学 2015-05-28 Éric Brunet , Bernard Derrida

Inference of network-like evolutionary relationships between species from genomic data must address the interwoven signals from both gene flow and incomplete lineage sorting. The heavy computational demands of standard approaches to this…

种群与进化 · 定量生物学 2021-08-05 Elizabeth S. Allman , Hector Baños , John A. Rhodes

A popular line of research in evolutionary biology is the use of time-calibrated phylogenies for the inference of diversification processes. This requires computing the likelihood of a given ultrametric tree as the reconstructed tree…

种群与进化 · 定量生物学 2013-01-24 Amaury Lambert , Hélène Morlon , Rampal S. Etienne