Effects of Predation on Acanthaster: Age-Structured Metapopulation Models

  • H. I. Mccallum
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 88)

Abstract

A model of predation on subadult Acanthaster planci is developed within a metapopulation framework in which adult starfish and predators are patchily distributed, but reefs are linked by larval dispersal. The model demonstrates that it is possible for starfish to be maintained at low levels by predators with a type II functional response on some patches, provided larval mixing is incomplete and resource limitation exists on at least one reef. Because of the long pre-reproductive post settlement stage in Acanthaster, predation on this stage is found to be of particular importance in then population dynamics of the starfish.

Keywords

Great Barrier Reef Coral Reef Community Zero Equilibrium Pelagic Larval Stage Acanthaster Planci 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Antonelli, P.L. & Kazarinoff, N.D. (1984) Starfish prédation of a growing coral reef community. J. Theor. Biol. 107 667–684MathSciNetCrossRefGoogle Scholar
  2. Applied Physics Industrial Consultants (1986) Solver, rev. 2.02 APIC, Strathclyde.Google Scholar
  3. Bellman, R. & Cooke, K.L. (1963) Differential-Difference Equations Academic Press, New York.MATHGoogle Scholar
  4. Bradbury, R.H., Hammond, L.S., Moran, P.J. & Reichelt, R.E. (1985). Coral reef communities and the Crown-of-thorns starfish: evidence for qualitatively stable cycles. J. Theor. Biol. 113, 69–81.CrossRefGoogle Scholar
  5. Crawley, M.J. (1983) Herbivory Blackwell, Oxford.Google Scholar
  6. Cushing, J.M. (1981) Stability and maturation periods in age-structured populations. In: Busenberg, S.N. & Cooke, K.L. (Eds.) Differential Equations and Applications in Ecology, Epidemics and Population Problems New York, Academic. 163–181.Google Scholar
  7. Doherty, P.J. & Davidson, J. (1989) Monitoring the distribution and abundance of juvenile Acanthaster planci in the central Great Barrier Reef. Proceedings of the Sixth International Coral Reef Symposium 2 131–136.Google Scholar
  8. Endean, R. (1969) Report on investigations made into aspects of the current Acanthaster planci (crown-of-thorns) infestations of certain reefs of the Great Barrier Reef. Fisheries Branch, Queensland Department of Primary Industries, Brisbane 38pp.Google Scholar
  9. Gurney, W.S.C., Nisbett, R.M. & Lawton, J.H. (1983) The systematic formulation of tractable single-species population models incorporating age structure. J. Anim. Ecol. 52, 479–95.CrossRefGoogle Scholar
  10. Hastings, A. (1983) Age-dependent predation is not a simple process. I. Continuous time models. Theor. Pop. Biol. 23, 347–362.MathSciNetMATHCrossRefGoogle Scholar
  11. Hastings, A. (1984) Age-dependent predation is not a simple process. II. Wolves, ungulates and a discrete time model for predation on juveniles with a stabilizing tail. Theor. Pop. Biol. 26, 271–282.MathSciNetMATHCrossRefGoogle Scholar
  12. Iwasa, Y. & Roughgarden, J. (1986) Interspecific competition among metapopulations with space-limited subpopulations. Theor. Pop. Biol. 30, 194–214.MathSciNetMATHCrossRefGoogle Scholar
  13. McCallum, H.I., (1987) Predator regulation of Acanthaster planci. J. Theor. Biol. 127 207–220.CrossRefGoogle Scholar
  14. McCallum, H.I. (1989) Effects of prédation on organisms with pelagic larval stages. Proceedings of the Sixth International Coral Reef Symposium 2 101–106.Google Scholar
  15. Moran, P.J. (1986) The Acanthaster phenomenon. Oceanogr. Mar. Biol. Annu. Rev. 24, 379–480.Google Scholar
  16. Murdoch, W.W., Nisbett, R.M., Blythe, S.P., Gurney, W.S.C. & Reeve, J.D. (1987) An invulnerable age class and stability in delay-differential parasitoid-host models. Amer. Natur. 129, 263–282.CrossRefGoogle Scholar
  17. Ormond, R., Bradbury, R., Bainbridge, S., Fabricus, K., Keesing, J., DeVantier, L., Medley, P. & Steven, A. Test of a model of regulation of crown-of-thorns starfish by fish predators. This volume.Google Scholar
  18. Ormond, R.F.G. & Campbell, A.C. (1974) Formation and breakdown of Acanthaster planci aggregations in the Red Sea. Proceedings of the Second International Coral Reef Symposium 1: 595–619.Google Scholar
  19. Roughgarden, J., Gaines, S. & Possingham, H. (1988) Recruitment dynamics in complex life cycles. Science 241 1460–1466.MathSciNetMATHCrossRefGoogle Scholar
  20. Roughgarden, J. & Iwasa, Y. (1986) Dynamics of a metapopulation with space-limited subpopulations. Theor. Pop. Biol. 29 235–261.MathSciNetMATHCrossRefGoogle Scholar
  21. Roughgarden, J., Iwasa, Y. & Baxter, C. (1985) Demographic theory for an open marine population with space-limited recruitment. Ecology. 66 54–67.CrossRefGoogle Scholar
  22. Yamaguchi, M. (1973) Early life histories of coral reef asteroids, with special reference to Acanthaster planci (L.). In Jones O.A. & Endean, R. eds. Biology and Geology of Coral Reefs. Vol. II, Biology 1 New York, Academic 369–387.Google Scholar
  23. Zann, L., Brodie, J., Berryman, C. & Naqasima, M. (1987) Recruitment, ecology, growth and behaviour of juvenile Acanthaster planci (L.) (Echinodermata: asteroidea) Bull. Mar. Sci. 41 561–575.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • H. I. Mccallum
    • 1
  1. 1.Department of ZoologyUniversity of QueenslandAustralia

Personalised recommendations