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Phylogenetic networks extend phylogenetic trees to allow for modeling reticulate evolutionary processes such as hybridization. They take the shape of a rooted, directed, acyclic graph, and when parameterized with evolutionary parameters,…

Populations and Evolution · Quantitative Biology 2018-08-28 R. A. L. Elworth , H. A. Ogilvie , J. Zhu , L. Nakhleh

In biodiversity conservation it is often necessary to prioritize the species to conserve. Existing approaches to prioritization, e.g. the Fair Proportion Index and the Shapley Value, are based on phylogenetic trees and rank species…

Populations and Evolution · Quantitative Biology 2018-02-07 Kristina Wicke , Mareike Fischer

Phylogenetic inference, the task of reconstructing how related sequences evolved from common ancestors, is a central objective in evolutionary genomics. The current state-of-the-art methods exploit probabilistic models of sequence evolution…

Populations and Evolution · Quantitative Biology 2026-02-19 Luc Blassel , Noémie Sauvage , Pierre Barrat-Charlaix , Bastien Boussau , Nicolas Lartillot , Laurent Jacob

Reconciling a gene tree with a species tree is an important task that reveals much about the evolution of genes, genomes, and species, as well as about the molecular function of genes. A wide array of computational tools have been devised…

Populations and Evolution · Quantitative Biology 2012-12-11 Yun Yu , Luay Nakhleh

Motivation: The abundance of gene flow in the Tree of Life challenges the notion that evolution can be represented with a fully bifurcating process, as this process cannot capture important biological realities like hybridization,…

Populations and Evolution · Quantitative Biology 2023-11-10 Zhaoxing Wu , Claudia Solis-Lemus

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

Populations and Evolution · Quantitative Biology 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

As researchers collect increasingly large molecular data sets to reconstruct the Tree of Life, the heterogeneity of signals in the genomes of diverse organisms poses challenges for traditional phylogenetic analysis. A class of phylogenetic…

Populations and Evolution · Quantitative Biology 2015-09-11 Liang Liu , Zhenxiang Xi , Shaoyuan Wu , Charles Davis , Scott V. Edwards

The Tree of Life is the graphical structure that represents the evolutionary process from single-cell organisms at the origin of life to the vast biodiversity we see today. Reconstructing this tree from genomic sequences is challenging due…

Populations and Evolution · Quantitative Biology 2020-10-06 Claudia Solis-Lemus , Arrigo Coen , Cecile Ane

The reconstruction of phylogenetic networks is an important but challenging problem in phylogenetics and genome evolution, as the space of phylogenetic networks is vast and cannot be sampled well. One approach to the problem is to solve the…

Populations and Evolution · Quantitative Biology 2023-04-14 Louxin Zhang , Niloufar Abhari , Caroline Colijn , Yufeng Wu

The inference of phylogenetic networks, which model complex evolutionary processes including hybridization and gene flow, remains a central challenge in evolutionary biology. Until now, statistically consistent inference methods have been…

Populations and Evolution · Quantitative Biology 2025-10-14 Niels Holtgrefe , Elizabeth S. Allman , Hector Baños , Leo van Iersel , Vincent Moulton , John A. Rhodes , Kristina Wicke

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

Phylogenetic networks extend phylogenetic trees to model non-vertical inheritance, by which a lineage inherits material from multiple parents. The computational complexity of estimating phylogenetic networks from genome-wide data with…

Populations and Evolution · Quantitative Biology 2022-06-28 Jingcheng Xu , Cécile Ané

Phylogenetic networks model reticulate evolutionary histories. The last two decades have seen an increased interest in establishing mathematical results and developing computational methods for inferring and analyzing these networks. A…

Populations and Evolution · Quantitative Biology 2016-06-24 Jiafan Zhu , Yun Yu , Luay Nakhleh

Phylogenetic networks provide a means of describing the evolutionary history of sets of species believed to have undergone hybridization or gene flow during their evolution. The mutation process for a set of such species can be modeled as a…

Populations and Evolution · Quantitative Biology 2022-11-23 Travis Barton , Elizabeth Gross , Colby Long , Joseph Rusinko

Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of…

Phylogenetics is a branch of computational biology that studies the evolutionary relationships among biological entities. Its long history and numerous applications notwithstanding, inference of phylogenetic trees from sequence data remains…

Populations and Evolution · Quantitative Biology 2024-03-26 Mingyang Zhou , Zichao Yan , Elliot Layne , Nikolay Malkin , Dinghuai Zhang , Moksh Jain , Mathieu Blanchette , Yoshua Bengio

Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination. This makes phylogenetic networks a more comprehensive…

Populations and Evolution · Quantitative Biology 2021-06-15 Remie Janssen , Pengyu Liu

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

Combining a set of phylogenetic trees into a single phylogenetic network that explains all of them is a fundamental challenge in evolutionary studies. Existing methods are computationally expensive and can either handle only small numbers…

Populations and Evolution · Quantitative Biology 2023-04-07 Giulia Bernardini , Leo van Iersel , Esther Julien , Leen Stougie

In evolutionary studies it is common to use phylogenetic trees to represent the evolutionary history of a set of species. However, in case the transfer of genes or other genetic information between the species or their ancestors has…

Combinatorics · Mathematics 2022-02-15 Katharina T. Huber , Vincent Moulton , Guillaume E. Scholz
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