Fundamental unpredictability in multispecies competition

American Naturalist

Volumn 157, Issue 5, 2001, Pages 488-494

  Huisman, Jef ^a   Weissing, Franz J ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Biodiversity; Chaos; Fractal basin boundaries; Phytoplankton; Prediction; Resource competition

Indexed keywords

ABUNDANCE; ECOLOGICAL MODELING; INTERSPECIFIC COMPETITION; SPATIAL DISTRIBUTION;

EID: 0035017735     PISSN: 00030147     EISSN: None     Source Type: Journal    
DOI: 10.1086/319929     Document Type: Article

References (28)

1. Anderson, D. M., and D. L. Garrison, eds. 1997. The ecology and oceanography of harmful algal blooms. Limnology and Oceanography 42:1009-1305.
2. Armstrong, R. A., and R. McGehee. 1980. Competitive exclusion. American Naturalist 115:151-170.
3. Burkholder, J. M., E. J. Noga, C. W. Hobbs, H. B. Glasgow, Jr., and S. A. Smith. 1992. New "phantom" dinoflagellate is the causative agent of major estuarine fish kills. Nature (London) 358:407-410.
4. Codd, G. A. 1995. Cyanobacterial toxins: occurrence, properties and biological significance. Water Science and Technology 32:149-156.
5. Darwin, C. 1859. On the origin of species by means of natural selection. J. Murray, London.
6. Gilpin, M. E. 1975. Limit cycles in competition communities. American Naturalist 109:51-60.
7. Grebogi, C., E. Ott, and J. A. Yorke. 1987. Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Science (Washington, D.C.) 238:632-638.
8. Grover, J. P. 1997. Resource competition. Chapman & Hall, London.
9. Huisman, J., and F. J. Weissing. 1995. Competition for nutrients and light in a mixed water column: a theoretical analysis. American Naturalist 146:536-564.
10. _. 1999. Biodiversity of plankton by species oscillations and chaos. Nature (London) 402:407-410.
11. _. 2000. Coexistence and resource competition. Nature (London) 407:694.
12. _. 2001. Biological conditions for oscillations and chaos generated by multispecies competition. Ecology 82 (in press).
13. Huisman, J., R. R. Jonker, C. Zonneveld, and F. J. Weissing. 1999. Competition for light between phytoplankton species: experimental tests of mechanistic theory. Ecology 80:211-222.
14. León, J. A., and D. B. Tumpson. 1975. Competition between two species for two complementary or substitutable resources. Journal of Theoretical Biology 50:185-201.
15. May, R. M., and W. J. Leonard. 1975. Nonlinear aspects of competition between three species. SIAM Journal on Applied Mathematics 29:243-253.
16. Monod, J. 1950. La technique de culture continue, théorie et applications. Annales de l'Institut Pasteur (Paris) 79: 390-410.
17. Moon, F. C., and G. X. Li. 1985. Fractal basin boundaries and homoclinic orbits for periodic motion in a two-well potential. Physical Review Letters 55:1439-1442.
18. Neubert, M. G. 1997. A simple population model with qualitatively uncertain dynamics. Journal of Theoretical Biology 189:399-411.
19. Nusse, H. E., and J. A. Yorke. 1996. Basins of attraction. Science (Washington, D.C.) 271:1376-1380.
20. Rothhaupt, K. O. 1996. Laboratory experiments with a mixotrophic chrysophyte and obligately phagotrophic and phototrophic competitors. Ecology 77:716-724.
21. Smale, S. 1976. On the differential equations of species in competition. Journal of Mathematical Biology 3:5-7.
22. Sommer, U. 1986. Nitrate- and silicate-competition among Antarctic phytoplankton. Marine Biology (Berlin) 91: 345-351.
23. Sommerer, J. C., and E. Ott. 1993. A physical system with qualitatively uncertain dynamics. Nature (London) 365: 138-140.
24. Tilman, D. 1977. Resource competition between planktonic algae: an experimental and theoretical approach. Ecology 58:338-348.
25. _. 1982. Resource competition and community structure. Princeton University Press, Princeton, N.J.
26. _. 1988. Plant strategies and the dynamics and structure of plant communities. Princeton University Press, Princeton, N.J.
27. van Donk, E., and S. S. Kilham. 1990. Temperature effects on silicon- and phosphorus-limited growth and competitive interactions among three diatoms. Journal of Phycology 26:40-50.
28. Von Liebig, J. 1840. Die organische Chemie in ihrer Anwendung auf Agrikultur und Physiologie. Friedrich Vieweg, Braunschweig.