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Tests of the neutral evolution hypothesis are usually built on the standard null model which assumes that mutations are neutral and population size remains constant over time. However, it is unclear how such tests are affected if the last…

Populations and Evolution · Quantitative Biology 2013-07-02 Marina Rafajlović , Alexander Klassmann , Anders Eriksson , Thomas Wiehe , Bernhard Mehlig

Linear functions of the site frequency spectrum (SFS) play a major role for understanding and investigating genetic diversity. Estimators of the mutation rate (e.g. based on the total number of segregating sites or average of the pairwise…

Methodology · Statistics 2021-01-14 Asger Hobolth , Mogens Bladt , Lars Nørvang Andersen

The aim of this article is to study the impact of resistance acquisition on the distribution of neutral mutations in a cell population under therapeutic pressure. The cell population is modeled by a bi-type branching process. Initially, the…

Probability · Mathematics 2023-04-25 Céline Bonnet , Hélène Leman

The site frequency spectrum (SFS) is a popular summary statistic of genomic data. While the SFS of a constant-sized population undergoing neutral mutations has been extensively studied in population genetics, the rapidly growing amount of…

Populations and Evolution · Quantitative Biology 2021-10-22 Einar Bjarki Gunnarsson , Kevin Leder , Jasmine Foo

One of the main necessities for population geneticists is the availability of statistical tools that enable to accept or reject the neutral Wright-Fisher model with high power. A number of statistical tests have been developed to detect…

Quantitative Methods · Quantitative Biology 2010-11-08 Luca Ferretti , Giacomo Marmorini , Sebastian Ramos-Onsins

We study the efficiency of genus statistics in differentiating between different models of structure formation. Simple models which reproduce the salient features of the structure seeded by topological defects are examined. We consider…

Astrophysics · Physics 2009-10-28 Pedro Avelino

Fixed tree topologies are widely used in phylodynamic analyses to reduce computational burden, yet the consequences of this assumption remain insufficiently understood. Here, we systematically assess the impact of various fixed-topology…

Populations and Evolution · Quantitative Biology 2025-12-01 Mathieu Fourment , Jiansi Gao , Marc A Suchard , Frederick A Matsen

We investigate through numerical simulations the effect of selection on two summary statistics for nucleotide variation in a sample of two genes from a population of N asexually reproducing haploid individuals. One is the mean time since…

Statistical Mechanics · Physics 2009-10-31 P. R. A. Campos , M. T. Sonoda , J. F. Fontanari

An important parameter in the study of population evolution is $\theta=4N\nu$, where $N$ is the effective population size and $\nu$ is the rate of mutation per locus per generation. Therefore, $\theta$ represents the mean number of…

Statistics Theory · Mathematics 2008-12-18 Aluísio Pinheiro , Hildete P. Pinheiro , Samara Kiihl

In phylogenomics, species-tree methods must contend with two major sources of noise; stochastic gene-tree variation under the multispecies coalescent model (MSC) and finite-sequence substitutional noise. Fast agglomerative methods such as…

Populations and Evolution · Quantitative Biology 2025-07-11 Georgios Aliatimis , Ruriko Yoshida , Burak Boyaci , James A. Grant

Spontaneous symmetry breaking plays a fundamental role in many areas of condensed matter and particle physics. A fundamental problem in ecology is the elucidation of the mechanisms responsible for biodiversity and stability. Neutral theory,…

Populations and Evolution · Quantitative Biology 2013-06-28 Claudio Borile , Miguel A. Muñoz , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

We develop a general statistical framework for the analysis and inference of large tree-structured data, with a focus on developing asymptotic goodness-of-fit tests. We first propose a consistent statistical model for binary trees, from…

We study random two-component spanning forests ($2$SFs) of finite graphs, giving formulas for the first and second moments of the sizes of the components, vertex-inclusion probabilities for one or two vertices, and the probability that an…

Probability · Mathematics 2017-04-06 Adrien Kassel , Richard Kenyon , Wei Wu

In order to conduct a statistical analysis on a given set of phylogenetic gene trees, we often use a distance measure between two trees. In a statistical distance-based method to analyze discordance between gene trees, it is a key to decide…

Populations and Evolution · Quantitative Biology 2016-02-05 Jing Xi , Jin Xie , Ruriko Yoshida

Transcription factors (TFs) interact with a multitude of binding sites on DNA and partner proteins inside cells. We investigate how nonspecific binding/unbinding to such decoy binding sites affects the magnitude and time-scale of random…

Subcellular Processes · Quantitative Biology 2015-04-15 Mohammad Soltani , Pavol Bokes , Zachary Fox , Abhyudai Singh

Given a gene-tree labeled topology $G$ and a species tree $S$, the "ancestral configurations" at an internal node $k$ of $S$ represent the combinatorially different sets of gene lineages that can be present at $k$ when all possible…

Phylogenetic diversity indices such as the Fair Proportion (FP) index are frequently discussed as prioritization criteria in biodiversity conservation. They rank species according to their contribution to overall diversity by taking into…

Populations and Evolution · Quantitative Biology 2022-09-02 Kristina Wicke , Mareike Fischer , Laura Kubatko

Hidden interactions and components in complex systems-ranging from covert actors in terrorist networks to unobserved brain regions and molecular regulators-often manifest only through indirect behavioral signals. Inferring the underlying…

Social and Information Networks · Computer Science 2025-09-26 Xiaoxiao Liang , Tianlong Fan , Linyuan Lü

Most current methods for inferring species-level phylogenies under the coalescent model assume that no gene flow occurs following speciation. While some studies have examined the impact of gene flow on estimation accuracy for certain…

Populations and Evolution · Quantitative Biology 2017-10-12 Colby Long , Laura Kubatko

We study the effectiveness of non-uniform randomized feature selection in decision tree classification. We experimentally evaluate two feature selection methodologies, based on information extracted from the provided dataset: $(i)$…

Machine Learning · Statistics 2014-03-25 Anastasios Kyrillidis , Anastasios Zouzias
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