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On the Dynamics and Control of the Age Structure of a Population

  • L. R. Ginzburg

Abstract

The problem of time dynamics of the size of natural populations occupies one of the most important places in biological literature [1–9, 11]. Many investigators isolate varied mechanisms for regulating the size of natural populations, which operate at both the inter-population and intrapopulation levels. For many reasons, some of which will become clear below, the study of the dynamics of the overall number of a population without allowance for its age structure is hardly satisfactory. Besides being of purely ecological interest, problems of the dynamics of the age composition of a population have practical significance in connection with a number of applied problems of controlling the dynamics of natural and artificial populations.

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Literature Cited

  1. 1.
    S. P. Naumov, “General regularities of governing the population size of a species and its dynamics,” in: Investigation of the Causes and Regularities of the Dynamics of the Population Size of the White Rabbit in Yakutia, Izd. AN SSSR (1960).Google Scholar
  2. 2.
    L. Z. Kaidanov, “On the problem of the role of behavior as a factor in microevolution,” in: Issledovaniya po Genetike, Vol. 3, Izd. LGU (1967).Google Scholar
  3. 3.
    T. V. Koshkina, “Population density and its significance in regulating the population size of the red field vole,” Byull. MOIP, Otdel. Biol., Vol. 20, No. 1 (1965).Google Scholar
  4. 4.
    T. V. Koshkina, “On periodic variations of the population size of field voles,” Byull. MOIP, Otdel. Biol., Vol. 21, No. 3 (1966).Google Scholar
  5. 5.
    T. V. Koshkina, “Population control of rodents,” Byull. MOIP, Vol. 22, No. 6 (1967).Google Scholar
  6. 6.
    C. S. Elton, Voles, Mice and Lemmings, Clarendon Press, Oxford (1942).Google Scholar
  7. 7.
    C. S. Elton and M. Nicholson, “The ten-year cycle in numbers of lynx,” J. Animal Ecol, Vol. 11 (1942).Google Scholar
  8. 8.
    V. C. Wynne-Edwards, Animal Dispersion in Relation to Cosial Behavior, London (1962).Google Scholar
  9. 9.
    I. I. Christian, Endocrine Adaptive Mechanisms and the Physiological Regulation of Population Growth, London (1963).Google Scholar
  10. 10.
    V. Volterra, Leçons sur la Théorie Mathématique de la Lutte Pour la Vie, Paris (1931).MATHGoogle Scholar
  11. 11.
    R. N. Chapman, J. Animal Ecol., London (1931).Google Scholar
  12. 12.
    U. D’Ancona, The Struggle for Existence, Leiden (1954).Google Scholar
  13. 13.
    A. Y. Lotka, Essays on Growth and Form, Clarendon Press, Oxford (1945).Google Scholar
  14. 14.
    I. A. Poletaev, “On the mathematical models of elementary processes and biogeocenoses,” in: Problemy Kibernetiki, Vol. 16, Nauka, Moscow (1966).Google Scholar
  15. 15.
    T. I. Éman, “On certain mathematical models of biogeocenoses,” in: Problemy Kibernetiki, Vol. 16, Nauka, Moscow (1966).Google Scholar
  16. 16.
    W. R. Utz and P. E. Waltman, “Periodicity and boundedness of solutions of the generalized differential equation of growth,” Bulletin of Mathematical Biophysics, Vol. 25 (1963).MATHGoogle Scholar
  17. 17.
    R. A. Fisher, The Genetical Theory of Natural Selection, Clarendon Press, Oxford (1930).CrossRefGoogle Scholar
  18. 18.
    P. A. P. Moran, The Statistical Processes of Evolutionary Theory, Clarendon Press, Oxford (1962).MATHGoogle Scholar
  19. 19.
    B. Ya. Levin, The Distribution of the Roots of Integer Functions, Gostekhizdat (1956).Google Scholar
  20. 20.
    Boyarskii (ed.), A Demography Course, Moscow (1967).Google Scholar
  21. 21.
    T. Harris, Theory of Branching Random Processes, Mir (1966).Google Scholar

Copyright information

© Consultants Bureau, New York 1973

Authors and Affiliations

  • L. R. Ginzburg
    • 1
  1. 1.LeningradRussia

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