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Phylogenomics is a new field which applies to tools in phylogenetics to genome data. Due to a new technology and increasing amount of data, we face new challenges to analyze them over a space of phylogenetic trees. Because a space of…

Combinatorics · Mathematics 2020-05-15 Ruriko Yoshida

For a pair consisting of a gene tree and a species tree, the ancestral configurations at an internal node of the species tree are the distinct sets of gene lineages that can be present at that node. Ancestral configurations appear in…

Combinatorics · Mathematics 2020-06-17 Filippo Disanto , Michael Fuchs , Ariel R. Paningbatan , Noah A. Rosenberg

Rapid developments in genetics and biology have led to phylogenetic methods becoming an important direction in the study of cancer and viral evolution. Although our understanding of gene biology and biochemistry has increased and is…

Algebraic Geometry · Mathematics 2020-06-09 Yingying Wu , Shing-Tung Yau

In data analysis, latent variables play a central role because they help provide powerful insights into a wide variety of phenomena, ranging from biological to human sciences. The latent tree model, a particular type of probabilistic…

Machine Learning · Computer Science 2014-02-05 Raphaël Mourad , Christine Sinoquet , Nevin L. Zhang , Tengfei Liu , Philippe Leray

Interpretation of empirical results based on a taxa's lifetime distribution shows apparently conflicting results. Species' lifetime is reported to be exponentially distributed, whereas higher order taxa, such as families or genera, follow a…

Populations and Evolution · Quantitative Biology 2009-11-11 S. Pigolotti , A. Flammini , M. Marsili , A. Maritan

A wide variety of stochastic models of cladogenesis (based on speciation and extinction) lead to an identical distribution on phylogenetic tree shapes once the edge lengths are ignored. By contrast, the distribution of the tree's edge…

Populations and Evolution · Quantitative Biology 2024-11-05 Mike Steel

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

The selection of the most suitable evolutionary model to analyze the given molecular data is usually left to biologist's choice. In his famous book, J Felsenstein suggested that certain linear equations satisfied by the expected…

Populations and Evolution · Quantitative Biology 2012-11-20 Marta Casanellas , Jesus Fernandez-Sanchez , Anna Kedzierska

Species tree estimation is a complex problem, due to the fact that different parts of the genome can have different evolutionary histories than the genome itself. One of the causes for this discord is incomplete lineage sorting (also called…

Populations and Evolution · Quantitative Biology 2019-04-09 Erin Molloy , Tandy Warnow

In evolutionary biology, the speciation history of living organisms is represented graphically by a phylogeny, that is, a rooted tree whose leaves correspond to current species and branchings indicate past speciation events. Phylogenies are…

Populations and Evolution · Quantitative Biology 2019-08-02 Wai-Tong Louis Fan , Sebastien Roch

Recent years have seen a rapid expansion of the model space explored in statistical phylogenetics, emphasizing the need for new approaches to statistical model representation and software development. Clear communication and representation…

Populations and Evolution · Quantitative Biology 2013-12-10 Sebastian Höhna , Tracy A. Heath , Bastien Boussau , Michael J. Landis , Fredrik Ronquist , John P. Huelsenbeck

The multispecies coalescent process models the genealogical relationships of genes sampled from several species, enabling useful predictions about phenomena such as the discordance between the gene tree and the species phylogeny due to…

Populations and Evolution · Quantitative Biology 2020-12-11 Jakub Truszkowski , Celine Scornavacca , Fabio Pardi

We present a stochastic model for the size of a taxon in paleobiology, in which we allow for the evolution of new taxon members, and both individual and catastrophic extinction events. The model uses ideas from the theory of birth and death…

Biological Physics · Physics 2007-05-23 Barry D. Hughes , William J. Reed

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

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…

Populations and Evolution · Quantitative Biology 2023-01-03 Vladimir Makarenkov , Gayane S. Barseghyan , Nadia Tahiri

Phylogenetic trees are a central tool in understanding evolution. They are typically inferred from sequence data, and capture evolutionary relationships through time. It is essential to be able to compare trees from different data sources…

Populations and Evolution · Quantitative Biology 2017-10-31 Michelle Kendall , Caroline Colijn

Phylogenetic trees represent the evolutionary relationships between extant lineages, where extinct or non-sampled lineages are omitted. Extending the work of Stadler and collaborators, this paper focuses on the branch lengths in…

Populations and Evolution · Quantitative Biology 2025-10-16 Tobias Dieselhorst , Johannes Berg

A birth-death-sampling model gives rise to phylogenetic trees with samples from the past and the present. Interpreting "birth" as branching speciation, "death" as extinction, and "sampling" as fossil preservation and recovery, this model --…

Populations and Evolution · Quantitative Biology 2018-03-12 Tanja Stadler , Alexandra Gavryushkina , Rachel C. M. Warnock , Alexei J. Drummond , Tracy A. Heath

Evolutionary relationships between species are usually represented in phylogenies, i.e. evolutionary trees, which are a type of networks. The terminal nodes of these trees represent species, which are made of individuals and populations…

Populations and Evolution · Quantitative Biology 2007-07-11 E. Hernandez-Garcia , E. A. Herrada , A. F. Rozenfeld , C. J. Tessone , V. M. Eguiluz , C. M. Duarte , S. Arnaud-Haond , E. Serrao

Fixed tree topologies are widely used in phylodynamic analyses to reduce computational burden, yet the consequences of this assumption remain insufficiently understood. Here, we systematically assess the impact of various fixed-topology…

Populations and Evolution · Quantitative Biology 2025-12-01 Mathieu Fourment , Jiansi Gao , Marc A Suchard , Frederick A Matsen