Haploid Populations Subject to Varying Environment: The Characteristic Values and the Rate of Loss of Alleles
Previous article Next article Haploid Populations Subject to Varying Environment: The Characteristic Values and the Rate of Loss of AllelesKeith GladstienKeith Gladstienhttps://doi.org/10.1137/0132065PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA class of stochastic matrices, arising in genetics, are considered. The characteristic values are obtained and related to the genetic process.[1] C. Cannings, The latent roots of certain Markov chains arising in genetics: a new approach. I. Haploid models, Advances in Appl. Probability, 6 (1974), 260–290 MR0343949 0284.60064 CrossrefGoogle Scholar[2] C. Cannings, The latent roots of certain Markov chains arising in genetics: a new approach. II. Further haploid models, Advances in Appl. Probability, 7 (1975), 264–282 MR0371430 0339.60067 CrossrefISIGoogle Scholar[3] A. B. Chia, Random mating in a population of cyclic size, J. Appl. Probability, 5 (1968), 21–30 MR0225583 0162.51901 CrossrefISIGoogle Scholar[4] William Feller, Diffusion processes in genetics, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley and Los Angeles, 1951, 227–246 MR0046022 0045.09302 Google Scholar[5] Joseph Felsenstein, The rate of loss of multiple alleles in finite haploid populations, Theoret. Population Biology, 2 (1971), 391–403 10.1016/0040-5809(71)90028-1 MR0332215 0234.92010 CrossrefGoogle Scholar[6] Keith Gladstien, Loss of alleles in a haploid population with varying environment, Theoret. Population Biology, 10 (1976), 383–394 10.1016/0040-5809(76)90025-3 MR0496833 0346.92014 CrossrefISIGoogle Scholar[7] Keith Gladstien, The characteristic values and vectors for a class of stochastic matrices arising in genetics, SIAM J. Appl. Math., 34 (1978), 630–642 10.1137/0134050 MR0475977 0386.92004 LinkISIGoogle Scholar[8] Samuel Karlin, Equilibrium behavior of population genetic models with non-random mating. II. Pedigrees, homozygosity and stochastic models, J. Appl. Probability, 5 (1968), 487–566 MR0246657 0205.49601 CrossrefISIGoogle Scholar[9] S. Karlin, Rates of approach to homozygosity for finite stochastic models with variable population size, Amer. Naturalist, 102 (1968), 443–455 10.1086/282557 CrossrefISIGoogle Scholar[10] S. Wright, Evolution in Mendelain populations, Genetics, 16 (1931), 97–159 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Looking Forwards and Backwards in the Multi-Allelic Neutral Cannings Population ModelJournal of Applied Probability, Vol. 47, No. 03 | 14 July 2016 Cross Ref Looking Forwards and Backwards in the Multi-Allelic Neutral Cannings Population ModelJournal of Applied Probability, Vol. 47, No. 3 | 14 July 2016 Cross Ref The time back to the most recent common ancestor in exchangeable population modelsAdvances in Applied Probability, Vol. 36, No. 01 | 1 July 2016 Cross Ref The time back to the most recent common ancestor in exchangeable population modelsAdvances in Applied Probability, Vol. 36, No. 1 | 1 July 2016 Cross Ref Robustness results for the coalescentJournal of Applied Probability, Vol. 35, No. 02 | 14 July 2016 Cross Ref Robustness results for the coalescentJournal of Applied Probability, Vol. 35, No. 2 | 14 July 2016 Cross Ref Line-of-descent and genealogical processes, and their applications in population genetics modelsTheoretical Population Biology, Vol. 26, No. 2 | 1 Oct 1984 Cross Ref The Characteristic Values and Vectors for a Class of Stochastic Matrices Arising in GeneticsKeith GladstienSIAM Journal on Applied Mathematics, Vol. 34, No. 4 | 12 July 2006AbstractPDF (1212 KB) Volume 32, Issue 4| 1977SIAM Journal on Applied Mathematics707-895 History Submitted:29 April 1976Published online:12 July 2006 InformationCopyright © 1977 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0132065Article page range:pp. 778-783ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics
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