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Cannibalism as a life boat mechanism

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Abstract

Under certain conditions a cannibalistic population can survive when food for the adults is too scarce to support a non-cannibalistic population. Cannibalism can have this lifeboat effect if (i) the juveniles feed on a resource inaccessible to the adults; and (ii) the adults are cannibalistic and thus incorporate indirectly the inaccessible resource. Using a simple model we conclude that the mechanism works when, at low population densities, the average yield, in terms of new offspring, due to the energy provided by one cannibalized juvenile is larger than one.

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References

  1. Allee, W. C.: Cooperation among animals. New York: Henry Schuman 1938

    Google Scholar 

  2. Collette, B. B., Ali, M. A., Hokanson, K. E. F., Nagiec, M., Smirnov, S. A., Thorpe, J. E., Weatherley, A. H., Willemsen, J.: Biology of percids. J. Fish. Res. Board Can. 34, 1890–1899 (1977)

    Google Scholar 

  3. Cushing, J. M.: Equilibria in structured populations. J. Math. Biol. 23, 15–39 (1985)

    Google Scholar 

  4. De Roos, A. M.: Numerical methods for structured population models: the escalator boxcar train. Numerical methods for partial differential equations 4(3): 173–195 (1988)

    Google Scholar 

  5. Gabriel, W.: Can cannibalism be advantageous in cyclopoids? A mathematical model. Verh. Internat. Verein. Limnol. 22, 3164–3168 (1985a)

    Google Scholar 

  6. Gabriel, W.: Overcoming food limitations by cannibalism: A model study on cyclopoids. Arch. Hydrobiol. Beih. 21, 373–381 (1985b)

    Google Scholar 

  7. Gabriel, W.: Simulation komplexer Populationsdynamik. In: Möller, D. P. F. (ed.) Simulationstechnik (Informatik Fachberichte, vol. 109, pp. 318–324) 1985c

  8. Gurney, W. S. C., Nisbet, R. M., Lawton, J. H.: The systematic formulation of tractable single-species population models incorporating age structure. J. Anim. Ecol. 52, 479–495 (1983).

    Google Scholar 

  9. Johnson, D., Walker, A. F.: The Zooplankton of Loch Leven. Kinross. Proc. R.S. Edinb. (B) 74, 285–294 (1972/73)

    Google Scholar 

  10. Maas, P., Gurney, W. S. C., Nisbet, R. M.: SOLVER — An adaptable program template for initial value problem solving. Applied Physics Industrial Consultants. Glasgow: Univ. of Strathclyde 1982; revised 1984

    Google Scholar 

  11. Murdoch, W. W., Oaten, A.: Predation and population stability. Advances in ecological research 9, 1–131 (1975)

    Google Scholar 

  12. Nikolskii, G. V.: Theory of fish population dynamics. Edinburgh: Oliver & Boyd 1969

    Google Scholar 

  13. Polis, G. A.: The evolution and dynamics of intraspecific predation. Ann. Rev. Ecol. Syst. 12, 225–251 (1981)

    Google Scholar 

  14. Popova, O. A., Sytina, L. A.: Food and feeding relations of eurasian perch (Perca fluviatilis) and pikeperch (Stizostedio luciperca) in various waters of the USSR. J. Fish. Res. Board Can. 34, 1559–1570 (1977)

    Google Scholar 

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van den Bosch, F., de Roos, A.M. & Gabriel, W. Cannibalism as a life boat mechanism. J. Math. Biology 26, 619–633 (1988). https://doi.org/10.1007/BF00276144

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