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Part of the book series: Mathematics and Its Applications ((MASS,volume 22))

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Abstract

Up till now in all the models considered the environment where the population evolves, was assumed to be invariable. The environmental effects in our models were characterized only by the coefficients of the relative viability, therefore they were considered to be dependent neither on time (the environment is invariable in time), nor on gene frequencies. The latter implies that we do not treat the so-called ‘genotypic environment’, the pressure of selection being independent of the concentrations of particular genotypes in the population. Otherwise the population in evolution makes up its ‘genotypic environment’, and since the pressure of selection is a function of gene frequencies, the ‘genotypic environment’, in turn, determines further population dynamics. The arrival of this feedback can result in most unexpected effects, for instance a stable state may be substituted by a similar but unstable one.

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Notes and Bibliography

  • Sacks, JM: 1967, ‘A Stable Equilibrium With Minimum Average Fitness’, Genetics 56,4,705–708.

    Google Scholar 

  • Lewontin, R.C.: 1958, ‘A General Method for Investigating the Equilibrium of a Gene Frequency in a Population’, Genetics 43,4,419–439

    Google Scholar 

  • Clarke, B., O’Donald, P.: 1964, ‘Frequency-Dependent Selection’, Heredity 19, 2, 201–206.

    Article  Google Scholar 

  • Levins, R.: 1968, Evolution in Changing Environments, Princeton Univ. Press, Princeton, 120 pp.

    Google Scholar 

  • Radchenko, L.A., Svirezhev, Yu.M.: 1972, ‘Dinamika populyatsiy v menyayushesya srede. Experimenty s modelnimy populyatsiyami Drosofila melanogaster. (Population Dynamics in Changing Environment. Experiments With Model Populations of Drosofila melanogaster.)’, Zhurnal Obshei Biologii (Journal of General Biology) 33, 5, 555–561

    Google Scholar 

  • Haldane, J.B.S., Jayakar, S.D.: 1963, ‘Polymorphism Due to Selection of Varying Direction’, J. Genet. 58, 2, 237–242.

    Article  Google Scholar 

  • Timofeeff-Ressovsky, N.W., Svirezhev, YU.M.: 1966, ‘Ob adaptsionnom polimorphisme v populyatsiyakh Adalia bipunctata (On Adaptational polymorphism in Populations of Adalia bipunctata)’, Problyemy kibernetiki (Problems of Cybernetics) 16, 137–146.

    Google Scholar 

  • Svirezhev, Yu.M.: 1968, ‘Establishment of Heterozygotic Polymorphism in Non-Stationary Population’, D.Inform. Serv. 49, 196–197

    Google Scholar 

  • Svirezhev, Yu.M., Timofeeff-Ressovsky, N.W.: 1969, ‘Ustanovleniye geterozygotmogo polymorfizma v nectatsionarnykh populyatsiyakh (Establishment of Heterozygous Polymorphism in Non-Stationary Populations) ‘Genetica (Genetics) 5, 1, 154–158.

    Google Scholar 

  • MacArthur, R.H.: 1962, ‘Some Generalized Theorems of Natural Selection’, Proc. Nat. Acad. Sci. USA 48, 11, 1893–1898

    Article  MATH  Google Scholar 

  • Timofeeff-Ressovsk, N.W., Svirezhev, Yu.M.: 1972, ‘Populationsgenetik und Optimisierungsprozesses’, Biol. Zbl. 91,1,3–15.

    Google Scholar 

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© 1990 Kluwer Academic Publishers

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Svirezhev, Y.M., Passekov, V.P. (1990). Population Dynamics in Changing Environment. In: Fundamentals of Mathematical Evolutionary Genetics. Mathematics and Its Applications, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2589-2_8

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  • DOI: https://doi.org/10.1007/978-94-009-2589-2_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7670-8

  • Online ISBN: 978-94-009-2589-2

  • eBook Packages: Springer Book Archive

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