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Bayesian Markov chain Monte Carlo explores tree space slowly, in part because it frequently returns to the same tree topology. An alternative strategy would be to explore tree space systematically, and never return to the same topology. In…

Populations and Evolution · Quantitative Biology 2018-11-28 Chris Whidden , Brian C. Claywell , Thayer Fisher , Andrew F. Magee , Mathieu Fourment , Frederick A. Matsen

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

In phylogenetics, evolution is traditionally represented in a tree-like manner. However, phylogenetic networks can be more appropriate for representing evolutionary events such as hybridization, horizontal gene transfer, and others. In…

Data Structures and Algorithms · Computer Science 2024-10-18 Manuel Lafond , Vincent Moulton

Semi-directed networks provide a graphical structure for describing the evolutionary history of organisms in the presence of hybridization. We introduce two algorithms for reconstructing semi-directed level-1 phylogenetic networks from…

Genomics · Quantitative Biology 2025-07-23 Sophia Huebler , Rachel Morris , Joseph Rusinko

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

Combinatorics · Mathematics 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

Phylogenetic networks provide a more general description of evolutionary relationships than rooted phylogenetic trees. One way to produce a phylogenetic network is to randomly place $k$ arcs between the edges of a rooted binary phylogenetic…

Populations and Evolution · Quantitative Biology 2025-03-19 Michael Fuchs , Mike Steel , Qiang Zhang

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…

Populations and Evolution · Quantitative Biology 2013-01-24 Amaury Lambert , Hélène Morlon , Rampal S. Etienne

Phylogenetic methods typically rely on an appropriate model of how data evolved in order to infer an accurate phylogenetic tree. For molecular data, standard statistical methods have provided an effective strategy for extracting…

Populations and Evolution · Quantitative Biology 2015-01-21 Robert W. Scotland , Mike Steel

In this paper we identify several serious problems that arise in the use of syntactic data from the SSWL database for the purpose of computational phylogenetic reconstruction. We show that the most naive approach fails to produce reliable…

Computation and Language · Computer Science 2016-07-12 Kevin Shu , Sharjeel Aziz , Vy-Luan Huynh , David Warrick , Matilde Marcolli

Identifying undocumented or potential future interactions among species is a challenge facing modern ecologists. Recent link prediction methods rely on trait data, however large species interaction databases are typically sparse and…

Applications · Statistics 2019-09-23 Mohamad Elmasri , Maxwell J. Farrell , T. Jonathan Davies , David A. Stephens

Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad picture of relationships between extant groups requires use of…

Populations and Evolution · Quantitative Biology 2007-08-28 David Aldous , Maxim Krikun , Lea Popovic

With advances in sequencing technologies, there are now massive amounts of genomic data from across all life, leading to the possibility that a robust Tree of Life can be constructed. However, "gene tree heterogeneity", which is when…

Populations and Evolution · Quantitative Biology 2018-03-08 Sebastien Roch , Michael Nute , Tandy Warnow

Likelihood-based phylogenetic inference is generally considered to be the most reliable classification method for unknown sequences. However, traditional likelihood-based phylogenetic methods cannot be applied to large volumes of short…

Populations and Evolution · Quantitative Biology 2010-04-01 Frederick A Matsen , Robin B Kodner , E Virginia Armbrust

In mathematical phylogenetics, evolutionary relationships are often represented by trees and networks. The latter are typically used whenever the relationships cannot be adequately described by a tree, which happens when so-called…

Populations and Evolution · Quantitative Biology 2025-12-05 Mirko Wilde , Mareike Fischer

Phylogenetic networks are a generalization of evolutionary or phylogenetic trees that are commonly used to represent the evolution of species which cross with one another. A special type of phylogenetic network is an {\em $X$-cactus}, which…

Populations and Evolution · Quantitative Biology 2021-09-08 Andrew Francis , Katharina T. Huber , Vincent Moulton , Taoyang Wu

Designing flexible probabilistic models over tree topologies is important for developing efficient phylogenetic inference methods. To do that, previous works often leverage the similarity of tree topologies via hand-engineered heuristic…

Populations and Evolution · Quantitative Biology 2023-10-17 Tianyu Xie , Cheng Zhang

The need for structures capable of accommodating complex evolutionary signals such as those found in, for example, wheat has fueled research into phylogenetic networks. Such structures generalize the standard phylogenetic tree model by also…

Combinatorics · Mathematics 2015-11-30 Philippe Gambette , Katharina T. Huber , Guillaume E. Scholz

Terraces are potentially large sets of trees with precisely the same likelihood or parsimony score, which can be induced by missing sequences in partitioned multi-locus phylogenetic data matrices. The set of trees on a terrace can be…

Populations and Evolution · Quantitative Biology 2014-10-30 Michael J Sanderson , Michelle M. McMahon , Alexandros Stamatakis , Derrick J. Zwickl , Mike Steel

Phylogenetic tree shapes capture fundamental signatures of evolution. We consider ``ranked'' tree shapes, which are equipped with a total order on the internal nodes compatible with the tree graph. Recent work has established an elegant…

Populations and Evolution · Quantitative Biology 2026-03-10 Chris Jennings-Shaffer , Ziyue , Chen , Julia A Palacios , Frederick A Matsen

Phylogenetic networks are a generalization of phylogenetic trees that are used to represent reticulate evolution. Unrooted phylogenetic networks form a special class of such networks, which naturally generalize unrooted phylogenetic trees.…

Populations and Evolution · Quantitative Biology 2016-01-11 Katharina T. Huber , Vincent Moulton , Taoyang Wu