Identifiability of the Rooted Tree Parameter under the Cavender-Farris-Neyman Model with a Molecular Clock
Identifiability of the discrete tree parameter is a key property for phylogenetic models since it is necessary for statistically consistent estimation of the tree from sequence data. Algebraic methods have proven to be very effective at showing that tree and network parameters of phylogenetic models are identifiable, especially when the underlying models are group-based. However, since group-based models are time-reversible, only the unrooted tree topology is identifiable and the location of the root is not. In this note we show that the rooted tree parameter of the Cavender-Farris-Neyman Model with a Molecular Clock is generically identifiable by using the invariants of the model which were characterized by Coons and Sullivant.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Identifiability and Reconstructibility of Species Phylogenies Under a Modified Coalescent
Coalescent models of evolution account for incomplete lineage sorting by specifying a species tree parameter which determines a distribution on gene trees. It has been shown that the unrooted topology of the species tree…
Anomaly zones for uniformly sampled gene trees under the gene duplication and loss model
Recently, there has been interest in extending long-known results about the multispecies coalescent tree to other models of gene trees. Results about the gene duplication and loss (GDL) tree have mathematical proofs, inc…
Mathematical ProofsThe Tree of Blobs of a Species Network: Identifiability under the Coalescent
Inference of species networks from genomic data under the Network Multispecies Coalescent Model is currently severely limited by heavy computational demands. It also remains unclear how complicated networks can be for co…
Identifying circular orders for blobs in phylogenetic networks
Interest in the inference of evolutionary networks relating species or populations has grown with the increasing recognition of the importance of hybridization, gene flow and admixture, and the availability of large-scal…
Classes of Explicit Phylogenetic Networks and their Biological and Mathematical Significance
The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or lateral gene transfer, evolution cannot al…