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Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

Data Structures and Algorithms · Computer Science 2014-10-22 Antoine Thomas

To analyze whole-genome genetic data inherited in families, the likelihood is typically obtained from a Hidden Markov Model (HMM) having a state space of 2^n hidden states where n is the number of meioses or edges in the pedigree. There…

Probability · Mathematics 2013-10-07 Bonnie Kirkpatrick , Kay Kirkpatrick

Phylogenetic tree reconstruction is traditionally based on multiple sequence alignments (MSAs) and heavily depends on the validity of this information bottleneck. With increasing sequence divergence, the quality of MSAs decays quickly.…

Populations and Evolution · Quantitative Biology 2011-01-11 Roland F. Schwarz , William Fletcher , Frank Förster , Benjamin Merget , Matthias Wolf , Jörg Schultz , Florian Markowetz

Finding the most parsimonious tree inside a phylogenetic network with respect to a given character is an NP-hard combinatorial optimization problem that for many network topologies is essentially inapproximable. In contrast, if the network…

Populations and Evolution · Quantitative Biology 2025-01-14 Martin Frohn , Steven Kelk

We propose a statistical method to test whether two phylogenetic trees with given alignments are significantly incongruent. Our method compares the two distributions of phylogenetic trees given by the input alignments, instead of comparing…

Populations and Evolution · Quantitative Biology 2010-04-14 Elissaveta Arnaoudova , David Haws , Peter Huggins , Jerzy W. Jaromczyk , Neil Moore , Chris Schardl , Ruriko Yoshida

Many aspects of the historical relationships between populations in a species are reflected in genetic data. Inferring these relationships from genetic data, however, remains a challenging task. In this paper, we present a statistical model…

Populations and Evolution · Quantitative Biology 2012-11-20 Joseph K. Pickrell , Jonathan K. Pritchard

Molecular phylogeny has focused mainly on improving models for the reconstruction of gene trees based on sequence alignments. Yet, most phylogeneticists seek to reveal the history of species. Although the histories of genes and species are…

Populations and Evolution · Quantitative Biology 2013-11-05 Gergely J. Szöllosi , Eric Tannier , Vincent Daubin , Bastien Boussau

In computational phylogenetics, the problem of constructing a supertree of a given set of rooted input trees can be formalized in different ways, to cope with contradictory information in the input. We consider the Minimum Flip Supertree…

Data Structures and Algorithms · Computer Science 2011-04-25 Sebastian Böcker

Phylogenetic trees describe the evolutionary history of a group of present-day species from a common ancestor. These trees are typically reconstructed from aligned DNA sequence data. In this paper we analytically address the following…

Populations and Evolution · Quantitative Biology 2008-07-14 Mike Steel , Laszlo Szekely , Elchanan Mossel

Gene tree/species tree reconciliation is a recent decisive progress in phylo-genetic methods, accounting for the possible differences between gene histories and species histories. Reconciliation consists in explaining these differences by…

Quantitative Methods · Quantitative Biology 2017-10-05 Damir Hasic , Eric Tannier

We introduce a simple algorithm for reconstructing phylogenies from multiple gene trees in the presence of incomplete lineage sorting, that is, when the topology of the gene trees may differ from that of the species tree. We show that our…

Populations and Evolution · Quantitative Biology 2011-09-30 Elchanan Mossel , Sebastien Roch

Recent work has proven the existence of extreme inbreeding in a European ancestry sample taken from the contemporary UK population \cite{nature_01}. This result brings our attention again to a math problem related to inbreeding family trees…

Populations and Evolution · Quantitative Biology 2021-09-08 C. Jarne , F A. Gómez Albarracín , M. Caruso

Reconstructing ancestral gene orders in a given phylogeny is a classical problem in comparative genomics. Most existing methods compare conserved features in extant genomes in the phylogeny to define potential ancestral gene adjacencies,…

Data Structures and Algorithms · Computer Science 2016-09-27 Nina Luhmann , Manuel Lafond , Annelyse Thévenin , Aïda Ouangraoua , Roland Wittler , Cedric Chauve

An evolutionary tree is a cascade of bifurcations starting from a single common root, generating a growing set of daughter species as time goes by. Species here is a general denomination for biological species, spoken languages or any other…

Quantitative Methods · Quantitative Biology 2013-08-26 Paulo Murilo Castro de Oliveira

The supertree construction problem is about combining several phylogenetic trees with possibly conflicting information into a single tree that has all the leaves of the source trees as its leaves and the relationships between the leaves are…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Laura Koponen , Emilia Oikarinen , Tomi Janhunen , Laura Säilä

Statistical inference of evolutionary parameters from molecular sequence data relies on coalescent models to account for the shared genealogical ancestry of the samples. However, inferential algorithms do not scale to available data sets. A…

Applications · Statistics 2019-09-10 Lorenzo Cappello , Julia A. Palacios

For supercritical multitype branching processes in continuous time, we investigate the evolution of types along those lineages that survive up to some time t. We establish almost-sure convergence theorems for both time and population…

Probability · Mathematics 2007-05-23 Hans-Otto Georgii , Ellen Baake

We describe a set of new methods to partially automate linguistic phylogenetic inference given (1) cognate sets with their respective protoforms and sound laws, (2) a mapping from phones to their articulatory features and (3) a typological…

Computation and Language · Computer Science 2024-02-05 Kalvin Chang , Nathaniel R. Robinson , Anna Cai , Ting Chen , Annie Zhang , David R. Mortensen

More than ever, today we are left with the abundance of molecular data outpaced by the advancements of the phylogenomic methods. Especially in the case of presence of many genes over a set of species under the phylogeny question, more…

Applications · Statistics 2021-11-29 Ali Amiryousefi

We derive a Poisson random field model for population site polymorphisms differences within and between two species that share a relatively recent common ancestor. The model can be either equilibrium or time inhomogeneous. We first consider…

Probability · Mathematics 2010-11-09 Amei Amei , Stanley Sawyer