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Extensions of Stable Population Theory

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Deterministic Aspects of Mathematical Demography

Part of the book series: Biomathematics ((BIOMATHEMATICS,volume 13))

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Abstract

The developments and results of the previous chapters can be summarized by the following statement: Given a population

  1. (a)

    that is closed to migration,

  2. (b)

    that has time invariant age-specific birth rates, and

  3. (c)

    that has time invariant age-specific death rates.

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Notes for Chapter Seven

  1. Coale, A. (1972), The growth and structure of human populations - A mathematical investigation, p. 3.

    Google Scholar 

  2. Keyfitz, N. and Flieger, W. (1971), Population, facts and methods of demography, p. 50.

    Google Scholar 

  3. Keyfitz, N. (1968), Introduction to mathematics of population, with revisions. pp. 170–183.

    Google Scholar 

  4. Spiegelman, M. (1976). Introduction to demography. Revised Edition, p. 254 ff.

    Google Scholar 

  5. Coale, A., op. cit., p. 18.

    Google Scholar 

  6. Ibid., p. 18.

    Google Scholar 

  7. Ibid., p. 120.

    Google Scholar 

  8. Ibid., p. 19.

    Google Scholar 

  9. Keyfitz, N. (1968), op. cit, p. 126.

    Google Scholar 

  10. Fisher, R.A. (1930), The genetical theory of natural selection, pp. 25–30.

    MATH  Google Scholar 

  11. Ibid, p. 27.

    Google Scholar 

  12. Keyfitz, N. (1977), Applied mathematical demography, p. 145.

    MATH  Google Scholar 

  13. Ibid, p. 142ff.

    Google Scholar 

  14. Fisher, R.A. (1930), op. cit.

    Google Scholar 

  15. Keyfitz, N. (1977), op. cit, chap. 4.

    Google Scholar 

  16. Ibid, p. 88.

    Google Scholar 

  17. Cole, L.C. (1954), The population consequences of life history phenomena. The Quarterly Review of Biology, vol. 29, no. 2, pp. 103–137.

    Article  Google Scholar 

  18. Levin, S.A. (1981), Age structure and stability in multiple-age spawning populations. Renewable Resource Management, T.L. Vincent and J.M. Skowronski, Lecture Notes in Biomathematics, Springer-Verlag, vol. 39, pp. 21–45.

    Google Scholar 

  19. Levin, S.A. and Goodyear, C.R (1980), Analyis of an age-structured fishery model. J. Mathematical Biology, vol. 9, pp. 245–274.

    Article  MATH  MathSciNet  Google Scholar 

  20. Jacquard, A. (1970), The genetic structure of population. Biomathematics, vol. 5, Springer-Verlag.

    Google Scholar 

  21. Anderson, R.M. and May, R.M. (1979), Population biology of infectious diseases, Part I. Nature, vol. 280, pp. 361–367.

    Article  Google Scholar 

  22. May, R.M. (1979), Population biology of infectious diseases, Part II. Nature, vol. 280, pp. 455–461.

    Article  Google Scholar 

  23. Getz, W.M. and Pickering, J. (1983), Epidemic models: Thresholds and population regulation. American Naturalist, vol. 121, pp. 892–898.

    Article  Google Scholar 

  24. Volterra, Vito (1926), Variazioni e fluttuazioni del numero d’individui in specie animali conventi. Memorie della R. Accademia Nazionale dei Lincei.

    Google Scholar 

  25. Hale, J. and Somolinos, A. (1983), Competition for fluctuating nutrients. Journal of Mathematical Biology, vol. 18, pp. 255–280.

    Article  MATH  MathSciNet  Google Scholar 

  26. Coale, A. (1957), How the age distribution of a human population is determined. Cold Spring Harbor Symposia on Quantitative Biology, vol. 22, pp. 83–89.

    Google Scholar 

  27. Lopez, A. (1961), Problems in stable population theory, pp. 42–63.

    Google Scholar 

  28. Coale, A. (1963), Estimates of various demographic measures through the quasi-stable age distribution. Emerging techniques in Population Research, pp. 175–193.

    Google Scholar 

  29. Frauenthal, J.C. (1975), A dynamic model for human population growth. Theoretical Population Biology, vol. 8, pp. 64–73.

    Article  Google Scholar 

  30. Easterlin, R.A. (1961), The american baby boom in historical perspective. American economic Review, vol. 51, pp. 869–911.

    Google Scholar 

  31. Easterlin, R.A. (1968), The current fertility decline and projected fertility changes. Population, Labor Force and Long Swings in Economic Growth: The American Experience, chap. 5.

    Google Scholar 

  32. Espenshade, T.J, Bouvier, L.F. and Arthur, W.B. (1982), Immigration and the stable population model. Demography, vol. 19, no. 1, pp. 125–133.

    Article  Google Scholar 

  33. Coale, A. (1972), op. cit.

    Google Scholar 

  34. Keyfitz, N. (1977), op. cit.

    Google Scholar 

  35. Zuev, G.M. and Soroko, E.L. (1978), Mathematical description of migration processes. Avtomatika i Telemekhanika (Moscow), no. 7, pp. 94- 101.

    Google Scholar 

  36. McFarland, D.D. (1969), On the theory of stable populations: A new and elementary proof of the theorems under weaker assumptions. Demography, vol. 6, pp. 301–322.

    Article  Google Scholar 

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Authors and Affiliations

  1. Nassau Community College, State University of New York, Garden City, New York, 11530, USA

    John Impagliazzo

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  1. John Impagliazzo
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© 1985 Springer-Verlag Berlin Heidelberg

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Impagliazzo, J. (1985). Extensions of Stable Population Theory. In: Deterministic Aspects of Mathematical Demography. Biomathematics, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82319-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-82319-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82321-3

  • Online ISBN: 978-3-642-82319-0

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