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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Bryson, A. E., and Y.-C. Ho. 1975. Applied Optimal Control. Hemisphere, Washington.
Crow, J. F., and M. Kimura. 1970. An introduction to population genetics theory. Harper and Row, N.Y.
Ewens, W. J. 1979. Mathematical population genetics. Springer-Verlag, Berlin (Biomathematics Volume 9).
Ewens, W.J. and A. Hastings. 1995. Chapter in this book.
Fox, G. A. and A. Hastings. 1992. Inferring Selective History from Multilocus Frequency Data: Wright Meets the Hamiltonian. Genetics 132:277–288.
Hastings, A. 1981. Disequilibrium, selection, and recombination: limits in two-locus, two-allele models. Genetics 98:659–668.
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.
Hofbauer, J., and K. Sigmund. 1988. The Theory of Evolution and Dynamical Systems. Cambridge University Press, Cambridge.
Nagylaki, T. 1992. Introduction to theoretical population genetics. Springer-Verlag, Berlin (Biomathematics Volume 21).
Nei, M. 1987. Molecular evolutionary genetics. Columbia University Press, New York.
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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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