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Optimization as a technique for studying population genetics equations

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Evolution and Biocomputation

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 899))

Abstract

We use methods from dynamic optimization to study the possible behavior of simple population genetic models. These methods can be used, at least conceptually, to determine limits to the behavior of optimization algorithms based on genetic equations.

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References

  • Bryson, A. E., and Y.-C. Ho. 1975. Applied Optimal Control. Hemisphere, Washington.

    Google Scholar 

  • Crow, J. F., and M. Kimura. 1970. An introduction to population genetics theory. Harper and Row, N.Y.

    Google Scholar 

  • Ewens, W. J. 1979. Mathematical population genetics. Springer-Verlag, Berlin (Biomathematics Volume 9).

    Google Scholar 

  • Ewens, W.J. and A. Hastings. 1995. Chapter in this book.

    Google Scholar 

  • Fox, G. A. and A. Hastings. 1992. Inferring Selective History from Multilocus Frequency Data: Wright Meets the Hamiltonian. Genetics 132:277–288.

    Google Scholar 

  • Hastings, A. 1981. Disequilibrium, selection, and recombination: limits in two-locus, two-allele models. Genetics 98:659–668.

    Google Scholar 

  • Hastings, A. 1989. Deterministic multilocus population genetics: an overview, pp 27–54 in Some Mathematical Questions in Biology: Models in Population Biology, edited by A. Hastings. American Mathematical Society, Providence, Rhode Island.

    Google Scholar 

  • Hofbauer, J., and K. Sigmund. 1988. The Theory of Evolution and Dynamical Systems. Cambridge University Press, Cambridge.

    Google Scholar 

  • Nagylaki, T. 1992. Introduction to theoretical population genetics. Springer-Verlag, Berlin (Biomathematics Volume 21).

    Google Scholar 

  • Nei, M. 1987. Molecular evolutionary genetics. Columbia University Press, New York.

    Google Scholar 

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Wolfgang Banzhaf Frank H. Eeckman

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© 1995 Springer-Verlag Berlin Heidelberg

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Hastings, A., Fox, G.A. (1995). Optimization as a technique for studying population genetics equations. In: Banzhaf, W., Eeckman, F.H. (eds) Evolution and Biocomputation. Lecture Notes in Computer Science, vol 899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59046-3_3

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  • DOI: https://doi.org/10.1007/3-540-59046-3_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59046-0

  • Online ISBN: 978-3-540-49176-7

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