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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…

计算复杂性 · 计算机科学 2024-03-22 Mark Jones , Jannik Schestag

Network Phylogenetic Diversity (Network-PD) is a measure for the diversity of a set of species based on a rooted phylogenetic network (with branch lengths and inheritance probabilities on the reticulation edges) describing the evolution of…

计算复杂性 · 计算机科学 2025-11-20 Leo van Iersel , Mark Jones , Jannik Schestag , Celine Scornavacca , Mathias Weller

Phylogenies are commonly used to represent the evolutionary relationships between species, and often these phylogenies are equipped with edge lengths that indicate degrees of evolutionary difference. Given such a phylogeny, a popular…

种群与进化 · 定量生物学 2025-02-12 Martin Frohn , Kerry Manson

For a phylogenetic tree, the phylogenetic diversity of a set A of taxa is the total weight of edges on paths to A. Finding small sets of maximal diversity is crucial for conservation planning, as it indicates where limited resources can be…

数据结构与算法 · 计算机科学 2025-10-29 Mark Jones , Jannik Schestag

In the NP-hard Optimizing PD with Dependencies (PDD) problem, the input consists of a phylogenetic tree $T$ over a set of taxa $X$, a food-web that describes the prey-predator relationships in $X$, and integers $k$ and $D$. The task is to…

计算复杂性 · 计算机科学 2024-05-28 Christian Komusiewicz , Jannik Schestag

In conservation biology, phylogenetic diversity (PD) provides a way to quantify the impact of the current rapid extinction of species on the evolutionary `Tree of Life'. This approach recognises that extinction not only removes species but…

种群与进化 · 定量生物学 2022-04-13 Kerry Manson , Charles Semple , Mike Steel

Phylogenetic trees represent certain species and their likely ancestors. In such a tree, present-day species are leaves and an edge from u to v indicates that u is an ancestor of v. Weights on these edges indicate the phylogenetic distance.…

种群与进化 · 定量生物学 2025-10-08 Jannik Schestag

Phylogenetic diversity is a popular measure for quantifying the biodiversity of a collection $Y$ of species, while phylogenetic diversity indices provide a way to apportion phylogenetic diversity to individual species. Typically, for some…

种群与进化 · 定量生物学 2023-04-24 Magnus Bordewich , Charles Semple

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…

数据结构与算法 · 计算机科学 2026-05-25 Niels Holtgrefe , Jannik Schestag

Phylogenetic diversity is a measure for describing how much of an evolutionary tree is spanned by a subset of species. If one applies this to the (unknown) subset of current species that will still be present at some future time, then this…

亚细胞过程 · 定量生物学 2009-09-29 Beata Faller , Fabio Pardi , Mike Steel

A phylogenetic tree is an edge-weighted binary tree, with leaves labelled by a collection of species, that represents the evolutionary relationships between those species. For such a tree, a phylogenetic diversity index is a function that…

最优化与控制 · 数学 2026-05-08 Martin Frohn , Kerry Manson

For many taxa, the current high rates of extinction are likely to result in a significant loss of biodiversity. The evolutionary heritage of biodiversity is frequently quantified by a measure called phylogenetic diversity (PD). We predict…

种群与进化 · 定量生物学 2013-06-13 Amaury Lambert , Mike Steel

In the Maximize Phylogenetic Diversity problem, we are given a phylogenetic tree that represents the genetic proximity of species, and we are asked to select a subset of species of maximum phylogenetic diversity to be preserved through…

计算复杂性 · 计算机科学 2026-02-16 Niels Holtgrefe , Jannik Schestag , Norbert Zeh

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…

种群与进化 · 定量生物学 2018-02-07 Kristina Wicke , Mareike Fischer

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…

种群与进化 · 定量生物学 2024-11-05 Mike Steel

Phylogenetic Diversity(PD)is a well-regarded measure of the overall biodiversity of a set of present-day species(taxa)that indicates its ecological significance.In the Maximize Phylogenetic Diversity(Max-PD)problem one is asked to find a…

离散数学 · 计算机科学 2025-10-29 Jannik Schestag

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…

数据结构与算法 · 计算机科学 2026-05-01 Leo van Iersel , Mark Jones , Jannik Schestag , Celine Scornavacca , Mathias Weller

Phylogenetic networks are directed acyclic graphs that depict the genomic evolution of related taxa. Reticulation nodes in such networks (nodes with more than one parent) represent reticulate evolutionary events, such as recombination,…

种群与进化 · 定量生物学 2024-11-21 Alexey Markin , Sriram Vijendran , Oliver Eulenstein

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

组合数学 · 数学 2017-08-11 Andrew Francis , Charles Semple , 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.…

种群与进化 · 定量生物学 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel
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