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Related papers: Stochastic Models for Phylogenetic Trees on Higher…

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In this work, we develop a stochastic model of gene gain and loss with the aim of inferring when (if at all) in evolutionary history and association between two genes arises. The data we consider is a species tree along with information on…

Populations and Evolution · Quantitative Biology 2023-09-07 Jiahao Diao , Malgorzata M. O'Reilly , Barbara R. Holland

Identifying undocumented or potential future interactions among species is a challenge facing modern ecologists. Recent link prediction methods rely on trait data, however large species interaction databases are typically sparse and…

Applications · Statistics 2019-09-23 Mohamad Elmasri , Maxwell J. Farrell , T. Jonathan Davies , David A. Stephens

Phylogenetic networks are necessary to represent the tree of life expanded by edges to represent events such as horizontal gene transfers, hybridizations or gene flow. Not all species follow the paradigm of vertical inheritance of their…

Populations and Evolution · Quantitative Biology 2016-02-15 Claudia Solís-Lemus , Cécile Ané

Group-based models appear in algebraic statistics as mathematical models coming from evolutionary biology, respectively the study of mutations of organisms. Both theoretically and in terms of applications, we are interested in determining…

Algebraic Geometry · Mathematics 2023-03-30 Rodica Andreea Dinu , Martin Vodička

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

Combinatorics · Mathematics 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

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 always be adequately…

Populations and Evolution · Quantitative Biology 2022-01-20 Sungsik Kong , Joan Carles Pons , Laura Kubatko , Kristina Wicke

Understanding the evolution of binary traits, which affects the birth and survival of species and also the rate of molecular evolution, remains challenging. A typical example is the evolution of mating systems in plant species. In this…

Populations and Evolution · Quantitative Biology 2017-04-04 Daniah Tahir , Sylvain Glémin , Martin Lascoux , Ingemar Kaj

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

Phylogenetic mixture models are statistical models of character evolution allowing for heterogeneity. Each of the classes in some unknown partition of the characters may evolve by different processes, or even along different trees. The…

Populations and Evolution · Quantitative Biology 2010-11-19 John A. Rhodes , Seth Sullivant

In this work we develop and demonstrate a probabilistic generative model for phytoplankton communities. The proposed model takes counts of a set of phytoplankton taxa in a timeseries as its training data, and models communities by learning…

Applications · Statistics 2017-12-13 Arnold Kalmbach , Heidi M. Sosik , Gregory Dudek , Yogesh Girdhar

A hierarchical structure describing the inter-relationships of species has long been a fundamental concept in systematic biology, from Linnean classification through to the more recent quest for a 'Tree of Life.' In this paper we use an…

Populations and Evolution · Quantitative Biology 2009-08-21 Andreas Dress , Vincent Moulton , Mike Steel , Taoyang Wu

Diversification models describe the random growth of evolutionary trees, modeling the historical relationships of species through speciation and extinction events. One class of such models allows for independently changing traits, or types,…

Statistics Theory · Mathematics 2022-06-22 Dakota Dragomir , Elizabeth S. Allman , John A. Rhodes

Phylogenetic tree shapes capture fundamental signatures of evolution. We consider ``ranked'' tree shapes, which are equipped with a total order on the internal nodes compatible with the tree graph. Recent work has established an elegant…

Populations and Evolution · Quantitative Biology 2026-03-10 Chris Jennings-Shaffer , Ziyue , Chen , Julia A Palacios , Frederick A Matsen

Phylogenetic networks are increasingly used in evolutionary biology to represent the history of species that have undergone reticulate events such as horizontal gene transfer, hybrid speciation and recombination. One of the most fundamental…

Populations and Evolution · Quantitative Biology 2016-10-07 Philippe Gambette , Leo van Iersel , Steven Kelk , Fabio Pardi , Celine Scornavacca

Phylogenetic trees are widely used to display estimates of how groups of species evolved. Each phylogenetic tree can be seen as a collection of clusters, subgroups of the species that evolved from a common ancestor. When phylogenetic trees…

Populations and Evolution · Quantitative Biology 2009-10-19 Leo van Iersel , Steven Kelk , Regula Rupp , Daniel Huson

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

Phylogenomics heavily relies on well-curated sequence data sets that consist, for each gene, exclusively of 1:1-orthologous. Paralogs are treated as a dangerous nuisance that has to be detected and removed. We show here that this severe…

Discrete Mathematics · Computer Science 2017-12-19 Marc Hellmuth , Nicolas Wieseke , Marcus Lechner , Hans-Peter Lenhof , Martin Middendorf , Peter F. Stadler

The automatic generation of decision trees based on off-line reasoning on models of a domain is a reasonable compromise between the advantages of using a model-based approach in technical domains and the constraints imposed by embedded…

Artificial Intelligence · Computer Science 2011-06-28 L. Console , C. Picardi , D. Theseider Duprè

Phylogenetic networks describe the evolution of a set of taxa for which reticulate events have occurred at some point in their evolutionary history. Of particular interest is when the evolutionary history between a set of just three taxa…

Populations and Evolution · Quantitative Biology 2024-09-27 Shelby Cox , Elizabeth Gross , Samuel Martin

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel