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Phylogenetic Diversity (PD) is a measure of the overall biodiversity of a set of present-day species (taxa) within a phylogenetic tree. In Maximize Phylogenetic Diversity (MPD) one is asked to find a set of taxa (of bounded size/cost) for…

Computational Complexity · Computer Science 2024-03-22 Mark Jones , Jannik Schestag

Phylogenetic Diversity (PD) is a prominent quantitative measure of the biodiversity of a collection of present-day species (taxa). This measure is based on the evolutionary distance among the species in the collection. Loosely speaking, if…

Populations and Evolution · Quantitative Biology 2021-07-20 Magnus Bordewich , Charles Semple , Kristina Wicke

Within the field of phylogenetics there is great interest in distance measures to quantify the dissimilarity of two trees. Here, based on an idea of Bruen and Bryant, we propose and analyze a new distance measure: the Maximum Parsimony (MP)…

Populations and Evolution · Quantitative Biology 2014-02-10 Mareike Fischer , Steven Kelk

Within the field of phylogenetics there is great interest in distance measures to quantify the dissimilarity of two trees. Recently, a new distance measure has been proposed: the Maximum Parsimony (MP) distance. This is based on the…

Populations and Evolution · Quantitative Biology 2015-01-20 Steven Kelk , Mareike Fischer

In phylogenetics, distances are often used to measure the incongruence between a pair of phylogenetic trees that are reconstructed by different methods or using different regions of genome. Motivated by the maximum parsimony principle in…

Populations and Evolution · Quantitative Biology 2016-07-08 Steven Kelk , Mareike Fischer , Vincent Moulton , Taoyang Wu

The path-difference metric is one of the oldest distances for the comparison of fully resolved phylogenetic trees, but its statistical properties are still quite unknown. In this paper we compute the mean value of the square of the…

Populations and Evolution · Quantitative Biology 2009-06-16 Arnau Mir , Francesc Rossello

We investigate parameterized algorithms for computing the average-tree phylogenetic diversity (APD) in rooted phylogenetic networks, studying the problem under different structural parameters that capture the deviation of a network from a…

Data Structures and Algorithms · Computer Science 2026-05-01 Leo van Iersel , Mark Jones , Jannik Schestag , Celine Scornavacca , Mathias Weller

The presence of reticulate evolutionary events in phylogenies turn phylogenetic trees into phylogenetic networks. These events imply in particular that there may exist multiple evolutionary paths from a non-extant species to an extant one,…

Populations and Evolution · Quantitative Biology 2008-03-21 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

The marginal likelihood of a model is a key quantity for assessing the evidence provided by the data in support of a model. The marginal likelihood is the normalizing constant for the posterior density, obtained by integrating the product…

Populations and Evolution · Quantitative Biology 2018-11-30 Mathieu Fourment , Andrew F. Magee , Chris Whidden , Arman Bilge , Frederick A. Matsen , Vladimir N. Minin

There are several tools available to infer phylogenetic trees, which depict the evolutionary relationships among biological entities such as viral and bacterial strains in infectious outbreaks, or cancerous cells in tumor progression trees.…

Data Structures and Algorithms · Computer Science 2023-12-22 António Pedro Branco , Cátia Vaz , Alexandre P. Francisco

The search for similarity and dissimilarity measures on phylogenetic trees has been motivated by the computation of consensus trees, the search by similarity in phylogenetic databases, and the assessment of clustering results in…

Populations and Evolution · Quantitative Biology 2011-11-09 Francesc Rossello , Gabriel Valiente

Identifying a subset of taxa that maximizes Phylogenetic Diversity (PD) is a cornerstone of quantitative conservation planning. Traditionally, PD is defined over a phylogenetic tree in which leaves resemble present-day taxa and the branch…

Data Structures and Algorithms · Computer Science 2026-05-25 Niels Holtgrefe , Jannik Schestag

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

Accurate estimation of evolutionary distances between taxa is important for many phylogenetic reconstruction methods. In the case of bacteria, distances can be estimated using a range of different evolutionary models, from single nucleotide…

Populations and Evolution · Quantitative Biology 2017-04-17 Stuart Serdoz , Attila Egri-Nagy , Jeremy Sumner , Barbara R. Holland , Peter D. Jarvis , Mark M. Tanaka , Andrew R. Francis

Tree comparison metrics have proven to be an invaluable aide in the reconstruction and analysis of phylogenetic (evolutionary) trees. The path-length distance between trees is a particularly attractive measure as it reflects differences in…

Data Structures and Algorithms · Computer Science 2018-11-05 David Bryant , Celine Scornavacca

We introduce a scale-free method for testing the proportionality of branch lengths between two phylogenetic trees that have the same topology and contain the same set of taxa. This method scales both trees to a total length of 1 and sums up…

Quantitative Methods · Quantitative Biology 2015-03-16 Yichen Zheng , William Ott , Chinmaya Gupta , Dan Graur

The path-difference metric is one of the oldest and most popular distances for the comparison of phylogenetic trees, but its statistical properties are still quite unknown. In this paper we compute the expected value under the Yule model of…

Populations and Evolution · Quantitative Biology 2012-03-13 Gabriel Cardona , Arnau Mir , Francesc Rossello

The Robinson-Foulds (RF) metric is arguably the most widely used measure of phylogenetic tree similarity, despite its well-known shortcomings: For example, moving a single taxon in a tree can result in a tree that has maximum distance to…

Data Structures and Algorithms · Computer Science 2013-08-02 Sebastian Böcker , Stefan Canzar , Gunnar W. Klau

Distance based algorithms are a common technique in the construction of phylogenetic trees from taxonomic sequence data. The first step in the implementation of these algorithms is the calculation of a pairwise distance matrix to give a…

Populations and Evolution · Quantitative Biology 2007-05-23 J G Sumner , P D Jarvis

Classification of gene trees is an important task both in the analysis of multi-locus phylogenetic data, and assessment of the convergence of Markov Chain Monte Carlo (MCMC) analyses used in Bayesian phylogenetic tree reconstruction. The…

Combinatorics · Mathematics 2024-06-10 Georgios Aliatimis , Ruriko Yoshida , Burak Boyaci , James A. Grant
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