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

Keywords

Population genetics, Markov chain, Wright, Variety (cybernetics), Locus (genetics)

References

• The number of mutant forms maintained in a populationSamueI Karlin, James McGregor — 1967
• The concept of identity of genes by descentOscar Kempthorne — 1967
• A second course in stochastic processesSamuel Karlin, Howard E. Taylor — 1981
• Distribution of nucleotide differences between two randomly chosen cistrons in a finite population.Wen‐Hsiung Li — 1977
• Persistence of common alleles in two related populations or species.Wen‐Hsiung Li, Masatoshi Nei — 1977
• The rate of loss of multiple alleles in finite haploid populations.Joseph Felsenstein — 1971
• A First Course on Stochastic ProcessesS. Karlin, H. M. Taylor — 1968
• The sampling theory of selectively neutral alleles.Warren J. Ewens — 1972
• The Structure of Reduced Critical GALTON‐WATSON ProcessesKlaus Fleischmann, Rainer Siegmund‐Schultze — 1977
• Simulating allele frequencies in a population and the genetic differentiation of populations under mutation pressure.Robert Griffiths, Wen‐Hsiung Li — 1983
• Lines of descent in the diffusion approximation of neutral Wright-Fisher models.Robert Griffiths — 1980
• RANDOM GENETIC DRIFT IN MULTI‐ALLELIC LOCUSMotoo Kimura — 1955
• Loss of alleles in a haploid population with varying environment.Keith Gladstien — 1976
• Distribution of nucleotide differences between two randomly chosen cistrons in a population of variable size.Ranajit Chakraborty — 1977
• Mathematical Population GeneticsEllen Baake, Warren J. Ewens, Anton Wakolbinger — 1979
• Distributions of time to fixation of neutral genes.Peter M. Burrows, C. Clark Cockerham — 1974
• Ein Grenzwertsatz für subkritische Verzweigungsprozesse mit endlich vielen Typen von TeilchenKlaus Fleischmann, Uwe Prehn — 1974
• The Characteristic Values and Vectors for a Class of Stochastic Matrices Arising in GeneticsKeith Gladstien — 1978
• Haploid Populations Subject to Varying Environment: The Characteristic Values and the Rate of Loss of AllelesKeith Gladstien — 1977
• Is the most frequent allele the oldest?G. A. Watterson, H. A. Guess — 1977

Cited by

• Wright-Fisher revisited: the case of fertility correlation.Berenice Pozos Miranda — 2002
• The frequency spectrum of a mutation, and its age, in a general diffusion model.Alan Rosselet — 2003
• Population genetic analysis of an Eastern U.S. wheat powdery mildew population reveals geographic subdivision and recent common ancestry with U.K. and Israeli populations.秀夫 木挽 — 2009
• Exact Markov chain and approximate diffusion solution for haploid genetic drift with one-way mutation.Paloma Cavero Coll — 2016
• Rooting phylogenetic trees under the coalescent model using site pattern probabilitiesTomáš Sirovátka, Robert Jahoda, Pavel Kofroň — 2017
• Contribution à l'étude probabiliste et numérique d'équations homogènes issues de la physique statistique : coagulation-fragmentationEduardo Cepeda Chiluisa — 2013
• Using Neural Nets to Estimate Evolutionary ParametersLee Chi-Chiang, Paul Marjoram — 2006
• Stochastic tree models and probabilistic modelling of gene trees of given species networksSha Zhu — 2013
• Stochastic Models in Population Genetics: Genealogy and Genetic Differentiation in Structured Populations.Hilde Wilkinson‐Herbots — 1994
• Flots stochastiques et représentation lookdownCyril Labbé — 2013
• Genetic Variation and Modern Human Origins.Michael Degiorgio — 2011
• Inferring species trees directly from SNP and AFLP data: full coalescent analysis without those pesky gene treesDavid Bryant, Remco Bouckaert, Noah A. Rosenberg — 2009
• Bayesian Computational Inference of Species Trees and Population SizesY. Heled — 2011
• ASYMPTOTIC THEORY FOR THREE INFINITE DIMENSIONAL DIFFUSION PROCESSESYouzhou Zhou — 2014
• STOCHASTIC MODELS IN POPULATION GENETICSShuhei Mano — 2008
• Simulation and graph mining tools for improving gene mapping efficiencyPetteri Hintsanen — 2011
• The genetic basis of morphological change in convergent evolution of natural populations: identifying candidate genes behind convergent evolution in blind cavefish astyanax mexicanusM. Bradic — 2011
• Sampling strategies for distances between DNA sequences.B. S. Weir, Christopher Basten — 1990
• Statistical methods for detecting signals of natural selection in the wildMarkku Karhunen — 2013
• On the validity of the log-sobolev inequality for symmetric Fleming-Viot operatorsWilhelm Stannat — 2000

Related papers

• Richard Wright and racial discourseYoshinobu Hakutani — 1996
• THE WRIGHT AFFAIR–THE WRONG RESPONSE: CONSTITUTIONAL ASPECTS OF THE WRIGHT AFFAIRRegina Austin — 1987
• Miss Wright RepliesMarcia Wright — 1973
• Understanding the bag the cat is in: Father and son in richard wright’sHarry M. Williams — 1995
• The Strong Law of Large Numbers for Markov Chains in Markovian EnvironmentsGuo Mingle — 2003
• BDSDEs with Markov Chains and applications in Markovian-Switching LQ problems for backward doubly stochastic systemRan Tao, Zhen Wu — 2011
• Decomposition and aggregation of large-dimensional Markov chains in discrete timeGeorge Yin, Q. Zhang, G. Badowski — 2001
• The Strong Convergence of Weighted Sums of Function for Finite State Markov Chains in Single Infinitely Markovian EnvironmentsChao Wan — 2013