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Evolutionarily Stable Optimal Harvesting Strategies

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The Exploitation of Evolving Resources

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 99))

Abstract

The adaptation of optimisation techniques in age-specific harvesting to populations whose life-histories may evolve as a result of harvesting was introduced in Law and Grey (1989). It was found possible to obtain optimal patterns which are more complex than the well-known two-age-class pattern for models without evolution. Here a more general model is proposed and an algorithm described for finding the solution to the optimality problem where density-dependent regulation and competition between phenotypes are both present.

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References

  • Getz, W.M. 1980. Optimal harvesting of structured populations. Mathematical Biosciences 48: 279–292.

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  • Grey, D.R. 1988. Harvesting under density-dependent mortality and fecundity. Journal of Mathematical Biology 26: 193–197.

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  • Law, R. and Grey, D.R. 1989. Evolution of yields from populations with age-specific cropping. Evolutionary Ecology 3: 343–359.

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  • Reed, W.J. 1980. Optimum age-specific harvesting in a non-linear population model. Biometrics 36: 579–593.

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  • Roughgarden, J. 1979. Theory of Population Genetics and Evolutionary Ecology: an Introduction. Macmillan, New York.

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Author information

Authors and Affiliations

  1. Department of Probability and Statistics, The University of Sheffield, PO Box 597, Sheffield, S10 2UN, UK

    D. R. Grey

Authors
  1. D. R. Grey
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Editor information

Editors and Affiliations

  1. Fisheries Laboratory, MAFF, Pakefield Road, Lowestoft, NR33, OHT, UK

    Kevin Stokes

  2. Department of Biological Sciences, University of Warwick, Coventry, CV4 7AL, UK

    Jacqueline M. McGlade

  3. Department of Biology, University of York, York, Y01 5DD, UK

    Richard Law

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© 1993 Springer-Verlag Berlin Heidelberg

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Grey, D.R. (1993). Evolutionarily Stable Optimal Harvesting Strategies. In: Stokes, K., McGlade, J.M., Law, R. (eds) The Exploitation of Evolving Resources. Lecture Notes in Biomathematics, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48394-3_12

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  • DOI: https://doi.org/10.1007/978-3-642-48394-3_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57242-8

  • Online ISBN: 978-3-642-48394-3

  • eBook Packages: Springer Book Archive

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