Abstract

BackgroundTree reconciliation problems have long been studied in phylogenetics. A particular variant of the reconciliation problem for a gene tree T and a species tree S assumes that for each interior vertex x of T it is known whether x represents a speciation or a duplication. This problem appears in the context of analyzing orthology data.ResultsWe show that S is a species tree for T if and only if S displays all rooted triples of T that have three distinct species as their leaves and are rooted in a speciation vertex. A valid reconciliation map can then be found in polynomial time. Simulated data shows that the event-labeled gene trees convey a large amount of information on underlying species trees, even for a large percentage of losses.ConclusionsThe knowledge of event labels in a gene tree strongly constrains the possible species tree and, for a given species tree, also the possible reconciliation maps. Nevertheless, many degrees of freedom remain in the space of feasible solutions. In order to disambiguate the alternative solutions additional external constraints as well as optimization criteria could be employed.

Highlights

  • Tree reconciliation problems have long been studied in phylogenetics

  • We start with the simple observation that a reconciliation map from (T,t, s) to S preserves the ancestor order of T and T imposes a strong constraint on the relationship of most recent common ancestors in S: Lemma 3

  • In order to determine empirically how much information on the species tree we can hope to find in event labeled gene trees, we simulated species trees together with corresponding event-labeled gene trees with different duplication and loss rates

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Summary

Introduction

A particular variant of the reconciliation problem for a gene tree T and a species tree S assumes that for each interior vertex x of T it is known whether x represents a speciation or a duplication. This problem appears in the context of analyzing orthology data. The reconciliation of gene and species trees is a widely studied problem [1,2,3,4,5,6,7,8,9,10]. Neither the gene tree nor the species tree can be determined unambiguously

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