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A branching process model for the evolution of transposable elements

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Abstract

A discrete-time multitype branching process model is presented for the evolution of transposable elements in haploid populations. An individual is classified as type i if it possesses i copies of the TE, i⩾0. The general model incorporates copy-dependent selection and transposition, and recursion relations are derived for the distribution of the number of individuals of the various types. The asymptotic relative proportions of individuals of the different types is studied in the neutral case. The behavior of this equilibrium distribution is examined for various patterns of regulated transposition and deletion.

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References

  • Charlesworth, B., Charlesworth, D.: The population dynamics of transposable elements. Gen. Res. 42, 1–27 (1983)

    Google Scholar 

  • Bingham, P. M., Kidwell, M. G., Rubin, G. M.: The molecular basis of P-M hybrid dysgenesis: the role of the P element, a P-strain specific transposon family. Cell 29, 995–1004 (1982)

    Google Scholar 

  • Doolittle, W. F., and Sapienza, C.: Selfish genes, the phenotype paradigm and genome evolution. Nature 272, 123–124 (1980)

    Google Scholar 

  • Gantmacher, F. R.: The theory of matrices, 2nd vol. New York: Chelsea 1959

    Google Scholar 

  • Harris, T. E.: The theory of branching processes. Berlin Heidelberg New York: Springer 1963

    Google Scholar 

  • Kleckner, N.: Transposable elements in prokaryotes. Ann. Rev. Gen. 15, 341–404 (1981)

    Google Scholar 

  • Langley, C. H., Brookfield, J. F. Y., Kaplan, N.: Transposable elements in Mendelian propulations I. A theory. Genetics 104, 457–471 (1983)

    Google Scholar 

  • Montgomery, E. A., Langley, C. H.: Transposable elements in Mendelian populations II. Distribution of three copia-like elements in a natural population of Drosophila melanogaster. Genetics 104, 473–483 (1983)

    Google Scholar 

  • Ohta, T., Kimura, M.: Some calculations on the amount of selfish DNA. PNAS 78, 1129–1132 (1981)

    Google Scholar 

  • Ohta, T.: Population genetics of selfish DNA. Nature 292, 648–649 (1981)

    Google Scholar 

  • Orgel, L. E., Crick, F. H. C.: Selfish DNA: the ultimate parasite. Nature 284, 604–607 (1980)

    Google Scholar 

  • Rose, M. R., Doolittle, W. F.: Molecular biological mechanisms of speciation. Science 220, 157–161 (1983)

    Google Scholar 

  • Rubin, G. M., Kidwell, M., Bingham, P. M.: The molecular basis of P-M hybrid dysgenesis: the nature of induced mutations. Cell 29, 987–994 (1982)

    Google Scholar 

  • Brookfield, J. F. Y.: A model for DNA sequence evolution within transposable element families. Genetics 112, 393–407 (1986)

    Google Scholar 

  • Kaplan, N., Darden, T., Langley, C. J.: Evolution and extinction of transposable elements in Mendelian populations. Genetics 109, 459–480 (1985)

    Google Scholar 

  • Ohta, T.: Population genetics of an expanding family of mobile genetic elements. Genetics 113, 145–159 (1986)

    Google Scholar 

  • Sawyer, S., Hartl, D.: Distribution of transposable elements in prokaryotes. Theor. Popul. Biol. 30, 1–16 (1986)

    Google Scholar 

  • Slatkin, M.: Genetic differentiation of transposable elements under mutation and unbiased gene conversion. Genetics 110, 145–158 (1985)

    Google Scholar 

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Moody, M.E. A branching process model for the evolution of transposable elements. J. Math. Biology 26, 347–357 (1988). https://doi.org/10.1007/BF00277395

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  • DOI: https://doi.org/10.1007/BF00277395

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