2022
DOI: 10.1007/s00285-022-01746-y
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Classes of explicit phylogenetic networks and their biological and mathematical significance

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Cited by 34 publications
(36 citation statements)
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“…As we have seen, even in the presence of ILS and GDL, a tree is a reasonable model for the evolutionary relationships between the species. However, some biological processes, such as gene flow, horizontal gene transfer and species hybridization, may require graphical models of evolution called 'explicit phylogenetic networks' [98][99][100] that are not purely tree-like. For example, in a hybridization network, a hybrid species will have two parents rather than one, while in a network representing evolutionary relationships that include HGT events, there will be two types of edges: those depicting vertical transmission and those depicting HGT events.…”
Section: Discussionmentioning
confidence: 99%
“…As we have seen, even in the presence of ILS and GDL, a tree is a reasonable model for the evolutionary relationships between the species. However, some biological processes, such as gene flow, horizontal gene transfer and species hybridization, may require graphical models of evolution called 'explicit phylogenetic networks' [98][99][100] that are not purely tree-like. For example, in a hybridization network, a hybrid species will have two parents rather than one, while in a network representing evolutionary relationships that include HGT events, there will be two types of edges: those depicting vertical transmission and those depicting HGT events.…”
Section: Discussionmentioning
confidence: 99%
“…Although phylogenetic networks have critical value in biology and beyond (Kong et al. 2022), their widespread use has been hindered by computational challenges that arise when using data to estimate them (Hejase and Liu 2016). In brief, the performance of current methods degrades as dataset size or the complexity of the network increases (i.e., lacks scalability).…”
Section: Figurementioning
confidence: 99%
“…An even more restrictive class of networks that is often considered are binary networks [12,24,43]: Definition 3.3. A network is binary if every tree vertex v is either a leaf or has outdeg(v) = 2, and every hybrid vertex v satisfies indeg(v) = 2 and outdeg(v) = 1.…”
Section: Basic Conceptsmentioning
confidence: 99%
“…A broad array of different types of networks have been studied in the literature in order to model different modes of non-tree-like evolution such as horizontal gene transfer, recombination, or hybridization, see [43] for a current review. Naturally, the question arises how much information about the structure of N is contained in the clustering system C N .…”
Section: Introductionmentioning
confidence: 99%