Distribution and asymptotic behavior of the phylogenetic transfer distance

dc.creatorFelipe, M.D.
dc.creatorDomelevo Entfellner, Jean-Baka
dc.creatorLemoine, F.
dc.creatorTruszkowski, J.
dc.creatorGascuel, O.
dc.date2018
dc.date2018-09-21T06:56:01Z
dc.date2018-09-21T06:56:01Z
dc.date.accessioned2026-06-27T17:01:45Z
dc.descriptionThe transfer distance (TD) was introduced in the classification framework and studied in the context of phylogenetic tree matching. Recently, Lemoine et al. (2018) showed that TD can be a powerful tool to assess the branch support of phylogenies with large data sets, thus providing a relevant alternative to Felsenstein's bootstrap. This distance allows a reference branch β in a reference tree T to be compared to a branch b from another tree T, both on the same set of n taxa. The TD between these branches is the number of taxa that must be transferred from one side of b to the other in order to obtain β. By taking the minimum TD from β to all branches in T we define the transfer index, denoted by ϕ(β,T), measuring the degree of agreement of T with β. Let us consider a reference branch β having p tips on its light side and define the transfer support (TS) as 1 - ϕ(β,T)/(p-1). The aim of this article is to provide evidence that p-1 is a meaningful normalization constant in the definition of TS, and measure the statistical significance of TS, assuming that β is compared to a tree T drawn according to a null model. We obtain several results that shed light on these questions in a number of settings. In particular, we study the asymptotic behavior of TS when n tends to ∞, and fully characterize the distribution of ϕ when T is a caterpillar tree.
dc.formatapplication/pdf
dc.identifierhttps://hdl.handle.net/10568/97458
dc.identifier.urihttp://hdl.handle.net/123456789/140135
dc.languageen
dc.publisherCold Spring Harbor Laboratory
dc.rightsOpen Access
dc.sourceFelipe, M.D., Domelevo Entfellner, J.-B., Lemoine, F., Truszkowski, J. and Gascuel, O. 2018. Distribution and asymptotic behavior of the phylogenetic transfer distance. bioRxiv
dc.subjecttrees
dc.subjectforests
dc.titleDistribution and asymptotic behavior of the phylogenetic transfer distance
dc.typePreprint

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