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Ecological Implications of Natural Selection

  • Lev R. Ginzburg
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 39)

Abstract

In 1967 my friend, Professor E. M. Polyshuk, a biographer and admirer of Vito Volterra (Polyshuk, 1977), introduced me to the classical book “Leçons sur la théorie mathématique de la lutte pour la vie” (1931), and its English version “The struggle for existence” (D’Ancona, 1954). They were the first two books on mathematical biology I had read and, thanks to this introduction, I have worked on different aspects of population theory ever since. In 1976 I was fortunate to meet in Rome Professor Eduardo Volterra who has shown me things and places related to the memory of his great father. It was a very special feeling to walk into the study room in Vito Volterra1 s house where he wrote most of his work on population theory during the 1920’s. All my professional life was directly influenced by the work of Vito Volterra. It is, therefore, a particular pleasure for me to participate in this memorial symposium.

Keywords

Theoretical Mechanic Macroscopic Description Population Theory Memorial Symposium Asymptotic Growth Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Braumann, C. A. 1980. Population adaptation to a noisy environment: stochastic enalogs of some deterministic models. Proceedings of the International Statistical Ecology Program, Vol. 13 (in press).Google Scholar
  2. Clark, G. P. 1971. The second derivative and population modeling. Ecology, 52: 606–613.CrossRefGoogle Scholar
  3. D’Ancona, U. 1951. The struggle for existence. E. G. Bull., Leiden.Google Scholar
  4. Feyman, R. P., Leighton, R. B., and Sarids, M. 1963- The Feyman Lectures on Physics, Vol. 1, Addison-Wesley.Google Scholar
  5. Fisher, R. A. 1930. The genetic theory of natural selection. Clarendon Press, Oxford.Google Scholar
  6. Ginzburg, L. R. 1972. The analogies of the “free motion” and “force” concepts in population theory. In Coll. “Studies in Theoretical Genetics” (V. A. Ratner, ed.) Novosibirsk (in Russian).Google Scholar
  7. Ginzburg, L. R. 1977-,The equilibrium and stability for n alleles under the density-dependent selection. J. Theor. Biol. 68: 545–550.Google Scholar
  8. Ginzburg, L. R., and Costantino, R. F. 1979. On the rate of genetic adaptation under the natural selection. J. Theor. Biol. 77: 307–316.CrossRefGoogle Scholar
  9. Ginzburg L. R., and Braumann, C. A. 1980. Multilocus population and genetics: relative importance of selection and recombination. Theor. Pop. Biol, (in press).Google Scholar
  10. Hutchinson, G. E. 1975. Variation on a theme by Robert Mac Arthur. In Coll. “Ecology and Evolution of Comnunities”, pp. 492–521, Harvard University Press.Google Scholar
  11. Innis, G . 1972. The second derivative and population modeling: another view. Ecology, 53:720–723CrossRefGoogle Scholar
  12. Mach, E., 1893. Die Mechanik in ihrer Entwicklung historischkritisch, dergestellt. Brockhaus, Leipzig.Google Scholar
  13. Polyshuk, E. M. 1977. Vito Volterra, Nauka, Moscow (in Russian).Google Scholar
  14. Roughgarden, J. 1976. Resource Partitioning among competing species - a revolutionary approach. Theor. Pop. Biol. 9: 388–424.MathSciNetCrossRefGoogle Scholar
  15. Roughgarden, J. 1979. Theory of Population Genetics and Evolutionary Ecology: an introduction. MacMillan Publishing Company.Google Scholar
  16. Slatkin, M., and Maynard-Smith, J. 1979. Models of coevolution. The Quarterly Review of Biology, 54: 233–263.CrossRefGoogle Scholar
  17. Slobodkin, L. B., and Rappaport, A. 1974. An optimal strategy of evolution. The Quarterly Review of Biology. 49: 181–200.CrossRefGoogle Scholar
  18. Volterra, V. 1931. Lecons sur la theorie mathematique de la lutte pour la vie. Gauthier-Villars, Paris.Google Scholar
  19. Wigner, E. 1970. Simmetrics and Reflections. Indiana University Press, Bloomington, London.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • Lev R. Ginzburg
    • 1
  1. 1.Department of Ecology and EvolutionState University of New York at Stony BrookStony BrookUSA

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