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Evolutionary Ecology

, Volume 3, Issue 4, pp 343–359 | Cite as

Evolution of yields from populations with age-specific cropping

  • Richard Law
  • David R. Grey
Papers

Summary

Age-specific exploitation of a natural population acts as a selective force on genetic variation in life history traits. Evolution arising from this selection may bring about evolutionary changes in the total yield which the population is able to sustain. An analysis of this process is given for a harvested population with densitydependent recruitment, in which selection of life history traits by cropping is independent of density and frequency. Evolution of the total yield depends on an interplay between the yield from an individual over the course of its life and recruitment; whether the total yield increases or decreases depends on the properties of particular populations. Evolution brought about by harvesting does not, in general, lead to the maximization of the total yield. Nonetheless, by appropriate choice of an age-specific harvest pattern, it is possible in principle to select the life history which gives the maximum total yield following evolution; this harvest pattern is called the ‘evolutionarily stable optimal harvesting strategy’ (ESOHS). Results of the analysis are illustrated with data on the Arcto-Norwegian cod.

Keywords

Evolution exploitation fisheries Gadus morhua life history optimization 

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References

  1. Anon. (1988) Fish: evolving in response to commercial fishing?BioScience 38, 319–20.Google Scholar
  2. Beddington, J. R. and Taylor, D. B. (1973) Optimum age specific harvesting of a population.Biometrics 29, 801–9.Google Scholar
  3. Beverton, R. J. H. (1984) Dynamics of single species. InExploitation of Marine Communities, (R. M. May, ed.) pp. 13–58. Dahlem Konferenzen, Springer-Verlag, Berlin.Google Scholar
  4. Beverton, R. J. H. and Holt, S. J. (1957) On the dynamics of exploited fish populations.Fishery Investigations, London Series II 19, 1–533.Google Scholar
  5. Borisov, V. M. (1978) The selective effect of fishing on the population structure of species with a long life cycle.Journal of Ichthyology 18, 896–904.Google Scholar
  6. Botsford, L. W. (1981) Optimal fishery policy for size-specific, density-dependent population models.Journal of Mathematical Biology 18, 265–93.Google Scholar
  7. Caswell, H., Naiman, R. J. and Morin, R. (1984) Evaluating the consequences of reproduction in complex salmonid life cycles.Aquaculture 43, 123–34.Google Scholar
  8. Cushing, D. H. (1966)The Arctic Cod. Pergamon Press, Oxford.Google Scholar
  9. Cushing, D. H. and Horwood, J. W. (1977) Development of a model of stock and recruitment. InFisheries Mathematics (J. H. Steele, ed.) pp. 21–35. Academic Press, London.Google Scholar
  10. Doubleday, W. G. (1975) Harvesting in matrix population models.Biometrics 31, 189–200.Google Scholar
  11. Edley, M. T. (1987)The evolutionary effects of size-specific harvesting on animal populations: an experimental study using Daphnia magna. Unpublished D. Phil. thesis, University of York, York, U.K.Google Scholar
  12. Edley, M. T. and Law, R. (1988) Evolution of life histories and yields in experimental populations ofDaphnia magna.Biological Journal of the Linnean Society 34, 309–26.Google Scholar
  13. Favro, L. D., Kuo, P. K. and MacDonald, J. F. (1979) Population-genetic study of the effects of selective fishing on the growth rate of trout.Journal of the Fisheries Research Board Canada 36, 552–61.Google Scholar
  14. Gadgil, M. and Bossert, W. H. (1970) Life historical consequences of natural selection.American Naturalist 104, 1–24.Google Scholar
  15. Garrod, D. J. (1967) Population dynamics of the Arcto-Norwegian cod.Journal of the Fisheries Research Board Canada 24, 145–90.Google Scholar
  16. Garrod, D. J. (1977) The North Atlantic cod. InFish Population Dynamics, (J. A. Gulland, ed.) pp. 216–42. Wiley, London.Google Scholar
  17. Garrod, D. J. (1988) North Atlantic cod: fisheries and management to 1986. InFish Population Dynamics (Second Edition), (J. A. Gulland, ed.) pp. 185–218. Wiley, London.Google Scholar
  18. Garrod, D. J. and Jones, B. W. (1974) Stock and recruitment relationship in the Northeast Arctic cod stock and the implications for management of the stock.Journal du Conseil, Conseil Permanent Internationale pour l'Exploration de la Mer 36, 35–41.Google Scholar
  19. Gjedrem, T. (1983) Genetic variation in quantitative traits and selective breeding in fish and shellfish.Aquaculture 33, 51–72.Google Scholar
  20. Gjerde, B. (1986) Growth and reproduction in fish and shellfish.Aquaculture 57, 37–55.Google Scholar
  21. Grey, D. R. and Law, R. (1987) Reproductive values and maximum yields.Functional Ecology 1, 327–30.Google Scholar
  22. Guckenheimer, J., Oster, G. and Ipaktchi, A. (1977) The dynamics of density dependent population models.Journal of Mathematical Biology 4, 101–47.Google Scholar
  23. Gulland, J. A. (1983)Fish Stock Assessment: a Manual of the Basic Methods. Wiley, Chichester.Google Scholar
  24. Gwahaba, J. J. (1973) Effects of fishing on theTilapia nilotica (Linne' 1757) population in Lake George, Uganda over the past 20 years.East African Wildlife Journal 11, 317–28.Google Scholar
  25. Hamley, J. M. (1975) Review of gillnet selectivity.Journal of the Fisheries Research Board Canada 32, 1943–69.Google Scholar
  26. Handford, P., Bell, G. and Reimchen, T. (1977) A gillnet fishery considered as an experiment in artificial selection.Journal of the Fiseries Research Board Canada 34, 954–61.Google Scholar
  27. Kirpichnikov, V. S. (1981)Genetic Basis of Fish Selection. Springer-Verlag, Berlin.Google Scholar
  28. Lande, R. (1982) A quantitative genetic theory of life history evolution.Ecology 63, 607–15.Google Scholar
  29. Lande, R. and Arnold, S. J. (1983) The measurement of selection on correlated characters.Evolution 37, 1210–26.Google Scholar
  30. Law, R. (1979) Optimal life histories under age-specific predation.American Naturalist 114, 399–417.Google Scholar
  31. Law, R. and Grey, D. R. (1988) Maximum sustainable yields and the self-renewal of exploited populations with age-dependent vital rates. InSize-Structured Populations, (B. Ebenman and L. Persson, eds) pp. 140–154. Springer-Verlag, Berlin.Google Scholar
  32. Levin, S. A. and Goodyear, C. P. (1980) Analysis of an age-structured fishery model.Journal of Mathematical Biology 9, 245–74.Google Scholar
  33. Luckinbill, L. S. and Clare, M. J. (1985) Selection for life span inDrosophila melanogaster.Heredity 55, 9–18.Google Scholar
  34. Lynch, M. and Arnold, S. J. (1988) The measurement of selection on size and growth. InSize-Structured Populations, (B. Ebenman and L. Persson, eds) pp. 47–59. Springer-Verlag, Berlin.Google Scholar
  35. Mertz, D. B. (1975) Senescent decline in flour beetle strains selected for early adult fitness.Physiological Zoology 48, 1–23.Google Scholar
  36. Michod, R. E. (1979) Evolution of life histories in response to age-specific mortality factors.American Naturalist 113, 531–50.Google Scholar
  37. Nelson, K. and Soulé, M. (1987) Genetical conservation of exploited fishes. InPopulation Genetics & Fishery Management, (N. Ryman and F. Utter, eds) pp. 345–68. University of Washington Press, Seattle.Google Scholar
  38. Pitcher, T. J. and Hart, P. J. B. (1982)Fisheries Ecology. Croom Helm, London.Google Scholar
  39. Reed, W. J. (1980) Optimum age-specific harvesting in a nonlinear population model.Biometrics 36, 579–93.Google Scholar
  40. Ricker, W. E. (1954) Stock and recruitment.Journal of the Fisheries Research Board Canada 11, 559–623.Google Scholar
  41. Ricker, W. E. (1981) Changes in the average size and average age of Pacific salmon.Canadian Journal of Fisheries and Aquatic Sciences 38, 1636–56.Google Scholar
  42. Rollesfsen, G. (1953) Observations on the cod and cod fisheries of Lofoten.Rapports et Proces-Verbaux des Reunions, Conseil Internationale pour l'Exploration de la Mer 136, 40–7.Google Scholar
  43. Rorres, C. and Fair, W. (1975) Optimal harvesting policy for an age-specific population.Mathematical Biosciences 24, 31–47.Google Scholar
  44. Schaffer, W. M. (1979) The theory of life-history evolution and its application to Atlantic salmon.Symposium of the Zoological Society London 44, 307–26.Google Scholar
  45. Silliman, R. P. (1975) Selective and unselective exploitation of experimental populations ofTilapia mossambica.Fishery Bulletin 73, 495–507.Google Scholar
  46. Sokal, R. R. (1970) Senescence and genetic load: evidence fromTribolium. Science 167, 1733–4.Google Scholar

Copyright information

© Chapman and Hall Ltd. 1989

Authors and Affiliations

  • Richard Law
    • 1
  • David R. Grey
    • 2
  1. 1.Department of BiologyUniversity of YorkYorkUK
  2. 2.Department of Probability and StatisticsThe UniversitySheffieldUK

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