Line-of-descent and genealogical processes, and their applications in population genetics models

DOI10.1016/0040-5809(84)90027-3zbMath0555.92011OpenAlexW2161692256WikidataQ55062617 ScholiaQ55062617MaRDI QIDQ761376

Publication date: 1984

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(84)90027-3

zbMATH Keywords

population genetics diffusion approximations neutral model review mutation Moran model genealogical Markov chains genealogical processes infinite alleles models infinite sites models Kingman coalescent process line-of-descent processes Wright-Fisher multiple-allele single locus models

Mathematics Subject Classification ID

Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators., Diffusive clustering in an infinite system of hierarchically interacting diffusions, Dual processes and an invariance result for exchangeable models in population genetics, The non-equilibrium allele frequency spectrum in a Poisson random field framework, Measuring evolutionary cancer dynamics from genome sequencing, one patient at a time, Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles, Additive genetic variation and evolvability of a multivariate trait can be increased by epistatic gene action, Reversible polymorphism-aware phylogenetic models and their application to tree inference, The genetic divergence of three populations, The sampling theory of neutral alleles and an urn model in population genetics, The population genealogy of the infinitely-many neutral alleles model, A note on distributions of times to coalescence, under time-dependent population size, Wright-Fisher revisited: the case of fertility correlation, Coalescent process with fluctuating population size and its effective size, A simple method for computing exact probabilities of mutation numbers, Universality in a class of fragmentation-coalescence processes, The bounded coalescent model: conditioning a genealogy on a minimum root date, The effect on genetic sampling distributions of correlations in reproduction, Evolution of coalescence times, genetic diversity and structure during colonization, Ancestral processes with selection, The asymptotic behavior of an urn model arising, On the long term behavior of some finite particle systems, Coalescent theory for a completely random mating monoecious population, Monte Carlo inference methods in population genetics, Bayesian inference of selection in the Wright-Fisher diffusion model, Effective population size of a population with stochastically varying size, On the genealogy of a rare allele, The coalescence time of sampled genes in the structured coalescent model, Meng and Kubatko (2009): modeling hybridization with coalescence, Developments in coalescent theory from single loci to chromosomes, Summary statistics of neutral mutations in longitudinal DNA samples, Detecting hybrid speciation in the presence of incomplete lineage sorting using gene tree incongruence: a model, Duality, ancestral and diffusion processes in models with selection, A coalescent dual process in a Moran model with genic selection, An approximate likelihood for genetic data under a model with recombination and population splitting, Site frequency spectra from genomic SNP surveys, Exact Markov chain and approximate diffusion solution for haploid genetic drift with one-way mutation, The probability distribution of ranked gene trees on a species tree, Allele frequencies in multigene families. II: Coalescent approach, The site-frequency spectrum of linked sites, The effect of recurrent mutation on the frequency spectrum of a segregating site and the age of an allele, The probability of topological concordance of gene trees and species trees., The coalescent in an island model of population subdivision with variation among demes., Optimal filtering and the dual process, Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today., Identifying the rooted species tree from the distribution of unrooted gene trees under the coalescent, A mathematical formalism for natural selection with arbitrary spatial and genetic structure, The tree length of an evolving coalescent, The distribution of \(F_{st}\) and other genetic statistics for a class of population structure models, Identifiability and reconstructibility of species phylogenies under a modified coalescent, The third moments of the site frequency spectrum, Single and simultaneous binary mergers in Wright-Fisher genealogies, On the moments of the absorption time of Kingman's coalescent, The coalescent in two colonies with symmetric migration, The split-and-drift random graph, a null model for speciation, Experiments with the site frequency spectrum, Gamma-Dirichlet algebra and applications, The transition distribution of a sample from a Wright-Fisher diffusion with general small mutation rates, The small world effect on the coalescing time of random walks, Geometric stick-breaking processes for continuous-time Bayesian nonparametric modeling, The joint allele frequency spectrum of multiple populations: a coalescent theory approach, Multiple merger gene genealogies in two species: monophyly, paraphyly, and polyphyly for two examples of lambda coalescents, Analysis of market weights under volatility-stabilized market models, Central limit theorem for the size of the range of a renewal process, Two chromosomes with multigene families, Ancestral inference from haplotypes and mutations, Wright-Fisher diffusion bridges, Diffusion processes and the Ewens sampling formula, There are no caterpillars in a wicked forest, Exact inference for a class of hidden Markov models on general state spaces, Theory and applications of a deterministic approximation to the coalescent model, Computing the probability of gene trees concordant with the species tree in the multispecies coalescent, A numerical method for calculating moments of coalescent times in finite populations with selection, Probability of a segregating pattern in a sample of DNA sequences, Predictive inference with Fleming-Viot-driven dependent Dirichlet processes, Genealogical-tree probabilities in the infinitely-many-site model, Maximum likelihood estimation of population divergence times and population phylogenies under the infinite sites model, Segregating sites in Wright's island model, Consolidation rates for two interacting systems in the plane, Approach to consensus in models of continuous-opinion dynamics: a study inspired by the physics of granular gases, Segregating sites in a gene conversion model with mutation, Bayesian nonparametric analysis of Kingman's coalescent, Genealogical processes for Fleming-Viot models with selection and recombination, A transition function expansion for a diffusion model with selection., The probability of reciprocal monophyly of gene lineages in three and four species, Conditional genealogies and the age of a neutral mutant, The expected number of alleles in a gene conversion model with mutation, Some statistical improvements for estimating population size and mutation rate from segregating sites in DNA sequences, Recombination as a point process along sequences, Coalescing into the 21st century: An overview and prospects of coalescent theory, Lines of descent and the coalescent, Finding the best resolution for the Kingman-Tajima coalescent: theory and applications, Convergence time to the Ewens sampling formula in the infinite alleles Moran model, Allele frequencies after a bottleneck, The use of sample genealogies for studying a selectively neutral m-loci model with recombination, On the genealogy of a sample of neutral rare alleles., The genetic divergence of two populations, Asymptotic line-of-descent distributions, An impossibility result for phylogeny reconstruction from \(k\)-mer counts, Which locus has the oldest allele?, Identifiability of the unrooted species tree topology under the coalescent model with time-reversible substitution processes, site-specific rate variation, and invariable sites, Genealogical histories in structured populations, Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent, Distributions of topological tree metrics between a species tree and a gene tree, The Λ-Fleming-Viot Process and a Connection with Wright-Fisher Diffusion, Average abundancy of cooperation in multi-player games with random payoffs, Transition density of an infinite-dimensional diffusion with the jack parameter, Smoothing distributions for conditional Fleming-Viot and Dawson-Watanabe diffusions, The frequency spectrum of a mutation, and its age, in a general diffusion model, Analytical results on the neutral non-equilibrium allele frequency spectrum based on diffusion theory, The probability distribution under a population divergence model of the number of genetic founding lineages of a population or species, Ordering dynamics of the multi-state voter model, Genealogies in simple models of evolution, A fleming-Viot process and Bayesian nonparametrics, Analytical results on the neutral non-equilibrium allele frequency spectrum based on diffusion theory, Excheangable partitions derived from Markovian coalescents, The effect of migration during the divergence, Times on trees, and the age of an allele, The number of lines of descent and fixation probabilities of alleles in the pure genetic drift process: Analytical approximations, Ewens' sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles, Mathematical models, problems, and controversies of evolutionary theory, Genealogical theory for random mating populations with two sexes, A family of random trees with random edge lengths, The uniqueness of hierarchically extended backward solutions of the Wright–Fisher model, On the genealogy of populations: trees, branches and offspring, The star-shaped Λ-coalescent and Fleming–Viot process, Coalescent lineage distributions, Dirichlet approximation of equilibrium distributions in Cannings models with mutation, PROPAGATION OF CHAOS IN A COAGULATION MODEL, Structured coalescent with nonconservative migration

Cites Work