Coexistence and limiting similarity of consumer species competing for a linear array of resources

Ecology

Volumn 90, Issue 3, 2009, Pages 812-822

  Abrams, Peter A ^a   Rueffler, Claus ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

Coexistence; Competition coefficient; Consumer resource system; Interspecific competition; Limiting similarity; Lotka Volterra model; Nonlinearity

Indexed keywords

COEXISTENCE; COMPETITION (ECOLOGY); CONSUMER-RESOURCE INTERACTION; EXTINCTION; INTERSPECIFIC COMPETITION; LOTKA-VOLTERRA MODEL; NONLINEARITY; NUMERICAL METHOD;

ANIMAL; ARTICLE; BEHAVIOR; BIOLOGICAL MODEL; CATERING SERVICE; COMPETITIVE BEHAVIOR; ECOSYSTEM; FEEDING BEHAVIOR; PHYSIOLOGY; POPULATION DYNAMICS; POPULATION GROWTH;

ANIMALS; COMPETITIVE BEHAVIOR; ECOSYSTEM; FEEDING BEHAVIOR; FOOD SUPPLY; MODELS, BIOLOGICAL; POPULATION DYNAMICS; POPULATION GROWTH; SPATIAL BEHAVIOR;

EID: 63849104234     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/08-0446.1     Document Type: Article

References (44)

1. Abrams, P. A. 1975. Limiting similarity and the form of the competition coefficient. Theoretical Population Biology 8: 356-375.
2. Abrams, P. A. 1976. Niche overlap and environmental variability. Mathematical Biosciences 28:357-375.
3. Abrams, P. A. 1977. Density independent mortality and interspecific competition: a test of Pianka's niche overlap hypothesis. American Naturalist 111:539-552.
4. Abrams. P. A. 1980a. Are competition coefficients constant? Inductive vs. deductive approaches. American Naturalist 116:730-735.
5. Abrams, P. A. 1980b. Consumer functional response and competition in consumer-resource systems. Theoretical Population Biology 17:80-102.
6. Abrams, P. A. 1983. The theory of limiting similarity. Annual Review of Ecology and Systematics 14:359-376.
7. Abrams, P. A. 1987. Resource partitioning and competition for shells between intertidal hermit crabs on the outer coast of Washington State. Oecologia 72:248-258.
8. Abrams. P. A. 1998, High competition with low similarity and low competition with high similarity: the interaction of exploitative and apparent competition in consumer-resource systems. American Naturalist 152:114-128.
9. Abrams, P. A. 2001. The effect of density-independent mortality on the coexistence of exploitative competitors for renewing resources. American Naturalist 158:459-470.
10. Abrams, P. A., and R. D. Holt. 2002. The impact of consumer-resource cycles on the coexistence of competing consumers. Theoretical Population Biology 62:281-295.
11. Abrams, P. A., and M. Nakajima. 2007. Does competition between resources change the competition between their consumers to mutualism? Variations on two themes by Vandermeer. American Naturalist 170:744-757.
12. Abrams, P. A., C. F. Nyblade, and S. Sheldon. 1986. Resource partitioning and competition for shells in a subtidal hermit crab species assemblage. Oecologia 69:429-445.
13. Abrams, P. A., C. Rueffler, and R. Dinnage. 2008a. Competition-similarity relationships, and the nonlincarity of competitive effects in consumer-resource systems. American Naturalist 172:463-474.
14. Abrams, P. A., C. Rueffler, and G. Kim. 2008b. Determinants of the strength of disruptive and/or divergent selection arising from resource competition. Evolution 62:1571-1586.
15. Abrams, P. A., and C. J. Walters, 1996. Invulnerable prey and the statics and dynamics of predator-prey interactions. Ecology 77:1125-1133.
16. Armstrong, R. A. 1976. Fugitive species: experiments with fungi and some theoretical considerations. Ecology 57:953-963.
17. Chesson, P. 1990. MacArthur's consumer-resource model. Theoretical Population Biology 37:26-38.
18. Dayan, T., and D. Simberloff. 2005. Ecological and community-wide character displacement: the next generation. Ecology Letters 8:875-894.
19. Diamond, J. M. 1975. Assembly of species communities. Pages 342-444 in M. Cody and J. M. Diamond, editors. Ecology and evolution of communities. Belknap Press, Cambridge, Massachusetts, USA.
20. Gyllenberg, M., and G. Meszéna. 2005. On the impossibility of the coexistence of infinitely many strategies. Journal of Mathematical Biology 50:133-160.
21. Havlicek, T. D., and S. R. Carpenter. 2001. Pelagic species size distributions in lakes: Are they discontinuous? Limnology and Oceanography 46:1021-1033.
22. Haygood, R. 2002. Coexistence in MacArthur-style consumer-resource models. Theoretical Population Biology 61:215-223.
23. Holling, C. S. 1992. Cross-scale morphology, geometry, and dynamics of ecosystems. Ecological Monographs 62:447-502.
24. Holyoak, M., and S. P. Lawler. 1996. Persistence of an extinction-prone predator-prey interaction through meta-population dynamics. Ecology 77:1867-1879.
25. Hsu, S. B., and S, Hubbell. 1979. Two predators competing for two prey species: an analysis of MacArthur's model. Mathematical Biosciences 47:143-171.
26. MacArthur, R. H. 1968. The theory of the niche, Pages 159-176 in R. Lewontin, editor. Population biology and evolution. Syracuse University Press, Syracuse, New York, USA.
27. MacArthur, R. H, 1970. Species packing and competitive equilibria for many species. Theoretical Population Biology 1:1-11.
28. MacArthur, R, H. 1972. Geographical ecology. Princeton University Press, Princeton, New Jersey, USA.
29. MacArthur, R. H., and R. Levins. 1967. The limiting similarity convergence and divergence of coexisting species. American Naturalist 101:377-385.
30. May, R. M. 1973. Stability and complexity in model ecosystems. Princeton University Press, Princeton, New Jersey, USA.
31. May, R. M. 1974. On the theory of niche overlap. Theoretical Population Biology 5:297-332.
32. May, R. M., M. J. Crawley, and G. Sugihara. 2007. Communities: patterns. Pages 111-131 in R. M. May and A. McLean, editors. Theoretical ecology: principles and applications. Third edition. Oxford University Press, Oxford, UK.
33. May, R. M., and R. H. MacArthur. 1972. Niche overlap as a function of environmental variability. Proceedings of the National Academy of Sciences (USA) 69:1109-1113.
34. Meszéna, G., M. Gyllenberg, L. Pásztor, and J. A. J. Metz. 2006. Competitive exclusion and limiting similarity: a unified theory. Theoretical Population Biology 69:68-87.
35. Roughgarden, J. 1974. Species packing and the competition function with illustrations from coral reef fish. Theoretical Population Biology 5:163-186.
36. Scheffer, M., and E. H. van Nes. 2006. Self-organized similarity: the evolutionary emergence of groups of similar species. Proceedings of the National Academy of Sciences (USA) 103:6230-6235.
37. Schoener, T. W. 1974. Resource partitioning in ecological communities. Science 185:27-39.
38. Schoener, T. W. 1976. Alternatives to Lotka-Volterra competition: models of intermediate complexity, Theoretical Population Biology 10:309-333.
39. Shurin, J. B., E. T. Borer, E. W. Seabloom, K. Anderson, C. A. Blanchette, B. Broitman, S. D. Cooper, and B. S. Halpern. 2002. A cross-ecosystem comparison of the strength of trophic cascades. Ecology Letters 5:785-791.
40. Szabó, P., and G. Meszéna. 2006. Limiting similarity revisited. Oikos 112:612-619.
41. Turelli, M. 1978. Re-examination of stability in randomly varying versus deterministic environments with comments on stochastic theory of limiting similarity. Theoretical Population Biology 13:244-267.
42. Turelli, M. 1981. Niche overlap and invasion of competitors in random environments. I. Models without demographic stochasticity. Theoretical Population Biology 20:1-56.
43. Wilson, D, S. 1975. The adequacy of body size as a niche difference. American Naturalist 109:769-784.
44. Wolfram, S. 2007. Mathematica 6.0.0. Wolfram Research, Champaign, Illinois, USA.