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dc.contributor.authorCasanellas Rius, Marta
dc.contributor.authorFernández Sánchez, Jesús
dc.contributor.authorKedzierska, A.M.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2013-02-19T11:45:51Z
dc.date.available2013-02-19T11:45:51Z
dc.date.created2012-11-28
dc.date.issued2012-11-28
dc.identifier.citationCasanellas, M.; Fernández-Sánchez, J.; Kedzierska, A. The space of phylogenetic mixtures for equivariant models. "Algorithms for Molecular Biology", 28 Novembre 2012, vol. 7, núm. 1.
dc.identifier.issn1748-7188
dc.identifier.urihttp://hdl.handle.net/2117/17874
dc.description.abstractThe selection of the most suitable evolutionary model to analyze the given molecular data is usually left to biologist's choice. In his famous book, J Felsenstein suggested that certain linear equations satisfied by the expected probabilities of patterns observed at the leaves of a phylogenetic tree could be used for model selection. It remained open the question regarding whether these equations were enough for characterizing the evolutionary model. Here we prove that, for equivariant models of evolution, the space of distributions satisfying these linear equations coincides with the space of distributions arising from mixtures of trees on a set of taxa. In other words, we prove that an alignment is produced from a mixture of phylogenetic trees under an equivariant evolutionary model if and only if its distribution of column patterns satisfies the linear equations mentioned above. Moreover, for each equivariant model and for any number of taxa, we provide a set of linearly independent equations defining this space of phylogenetic mixtures. This is a powerful tool that has already been successfully used in model selection. We also use the results obtained to study identifiability issues for phylogenetic mixtures.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshGeometry, Algebraic
dc.titleThe space of phylogenetic mixtures for equivariant models
dc.typeArticle
dc.subject.lemacGeometria algebraica
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.doi10.1186/1748-7188-7-33
dc.relation.publisherversionhttp://www.almob.org/content/7/1/33/abstract
dc.rights.accessOpen Access
local.identifier.drac11252664
dc.description.versionPostprint (published version)
local.citation.authorCasanellas, M.; Fernández-Sánchez, J.; Kedzierska, A.
local.citation.publicationNameAlgorithms for Molecular Biology
local.citation.volume7
local.citation.number1
local.citation.startingPage33
dc.identifier.pmid23190710


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