Coexistence in a fluctuating environment by the effect of relative nonlinearity: A minimal model

Journal of Theoretical Biology

Volumn 267, Issue 4, 2010, Pages 502-512

  Szilágyi, András ^a   Meszéna, Géza ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Limiting similarity; Niche; Stochastic population dynamics

Indexed keywords

COEXISTENCE; COMPETITION (ECOLOGY); COMPUTER SIMULATION; DENSITY DEPENDENCE; ECOLOGICAL MODELING; ENVIRONMENTAL CONDITIONS; EXTINCTION; GROWTH RATE; INVASIBILITY; NICHE OVERLAP; NICHE PARTITIONING; NONLINEARITY; NUMERICAL MODEL; POPULATION GROWTH; WHITE NOISE;

ARTICLE; COMPETITIVE BEHAVIOR; COMPUTER PREDICTION; COMPUTER SIMULATION; CONTROLLED STUDY; ECOLOGICAL NICHE; GROWTH RATE; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM; POPULATION DENSITY; POPULATION GROWTH; POPULATION SIZE; PRIORITY JOURNAL; SPECIES COEXISTENCE; SPECIES DIVERSITY; SPECIES EXTINCTION; THEORETICAL STUDY; WHITE NOISE;

ANIMALS; COMPETITIVE BEHAVIOR; COMPUTER SIMULATION; ENVIRONMENT; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; POPULATION DYNAMICS; SPECIES SPECIFICITY; TIME FACTORS;

EID: 77957195692     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2010.09.020     Document Type: Article

References (52)

1. Abrams P.A. The theory of limiting similarity. Annual Review of Ecology and Systematics 1983, 14:359-376.
2. Amarasekare P. Competitive coexistence in spatially structured environments: a synthesis. Ecology Letters 2003, 6:1109-1122.
3. Amarasekare P., Hoopes M.F., Mouquet N., Holyoak M. Mechanism of coexistence in competitive metacommunities. American Naturalist 2004, 164:310-326.
4. Armstrong R.A. Coexistence of species competing for shared resource. Theoretical Population Biology 1976, 9:317-328.
5. Barabás G., Meszéna G. When the exception becomes the rule: the disappearance of limiting similarity in the Lotka-Volterra model. Journal of Theoretical Biology 2009, 258:89-94.
6. Begon M., Harper J.L., Townsend C.R. Ecology 1996, Blackwell Science Publisher, London. third ed.
7. Braumann C.A. Applications of stochastic differential equations to population growth. Proceedings of the Ninth International Colloquium on Differential Equations 1999, 47. VSP, Leiden. D. Bainov (Ed.).
8. Braumann C.A. ItÔ versus Stratonovich calculus in random population growth. Mathematical Biosciences 2007, 206:81-107.
9. Case T.J. An Illustrated Guide to Theoretical Ecology 2000, Oxford University Press.
10. Chesson P. A need for niches?. Trends in Ecology and Evolution 1991, 6:26-28.
11. Chesson P. Multispecies competition in variable environment. Theoretical Population Biology 1994, 45:227-276.
12. Chesson P. General theory of competitive coexistence in spatially-varying environments. Theoretical Population Biology 2000, 58:211-237.
13. Chesson P. Mechanism and maintenance of species diversity. Annual Review of Ecological Systems 2000, 31:343-366.
14. Chesson P. Quantifying and testing coexistence mechanisms arising from recruitment fluctuations. Theoretical Population Biology 2003, 64:345-357.
15. Chesson P. Scale transition theory with special reference to species coexistence in a variable environment. Journal of Biological Dynamics 2009, 3:149-163.
16. Chesson P., Gebauer R.L.E., Schwinning S., Huntly N., Wiegand K., Ernest M.S.K., Sher A., Novoplansky A., Weltzin J.F. Resource pulses, species interactions, and diversity maintenance in arid and semiarid environments. Oecologia 2004, 141:236-253.
17. Chesson P., Huntly N. The roles of harsh and fluctuating conditions in the dynamics of ecological communities. American Naturalist 1997, 150:519-533.
18. Christiansen F.B., Fenchel T.M. Theories of Populations in Biological Communities 1977, Springer-Verlag, Berlin.
19. Czárán T. Spatiotemporal Models of Population and Community Dynamics. Population and Community Biology series 1998, Chapman & Hall, London.
20. Feldman M.W., Roughgarden J. A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing. Theoretical Population Biology 1975, 7:197.
21. Gause G.F. The Struggle for Existence 1934, Williams and Wilkins, Baltimore.
22. Habets M.G., Czárán T., Hoekstra R.F., deVisser J.A.G. Spatial structure inhibits the rate of invasion of beneficial mutations in asexual populations. Proceedings of the Royal Society B 2007, 274:2139-2143.
23. Haccou P., Jagers P., Vatutin V. Branching Processes: Variation, Growth and Extinction of Populations of Cambridge Studies in Adaptive Dynamics 2005, vol. 5. Cambridge University Press, Cambridge.
24. Hardin G. Competitive exclusion. Science 1960, 131:1292-1297.
25. Huston M.A. A general hypothesis of species diversity. American Naturalist 1979, 113:81-101.
26. Huston M.A. Biological Diversity. The Coexistence of Species on Changing Landscapes 1994, Cambridge University Press, Cambridge.
27. Hutchinson G.E. The paradox of the plankton. American Naturalist 1961, 45:137-145.
28. Jagers P. A plea for stochastic population dynamics. Journal of Mathematical Biology 2010, 60:761-764.
29. Johansson J., Ripa J. Will sympatric speciation fail due to stochastic competitive exclusion?. American Naturalist 2006, 168:572-578.
30. Johansson J., Ripa J., Kuckländer N. The risk of competitive exclusion during evolutionary branching: effects of resource variability, correlation and autocorrelation. Theoretical Population Biology 2010, 77:95-104.
31. Kisdi É., Meszéna G. Density dependent life history evolution in fluctuating environment. Adaptation in Stochastic Environments, Lecture Notes in Biomathematics 1993, vol. 98:26-62. Springer-Verlag.
32. Klebaner F.C. Introduction to Stochastic Calculus with Applications 2005, Imperial College Press.
33. Klebaner, F.C., Sagitov, S., Vautin, V.A., Haccou, P., Jagers, P. Stochasticity in the adaptive dynamics of evolution: the bare bones. Journal of Biological Dynamics, in press.
34. Krebs C.J. Ecology. The Experimental Analysis of Distribution and Abundance 2001, Benjamin Cummings, San Francisco, California.
35. Levin S.M. Community equilibria and stability, and an extension of the competitive exclusion principle. American Naturalist 1970, 104(939):413-423.
36. Levins R. Coexistence in a variable environment. American Naturalist 1979, 114:765-783.
37. MacArthur R.H. Some generalized theorems of natural selection. Proceedings of the National Academy of Sciences USA 1962, 48:1893-1897.
38. Mágori K., Szabó P., Mizera F., Meszéna G. Adaptive dynamics in cellular automaton: role of spatiality in competition, coexistence and evolutionary branching. Evolutionary Ecology Research 2005, 7:1-21.
39. May R.M. Stability and Complexity in Model Ecosystems 1973, Princeton University Press, Princeton.
40. Meszéna G., Gyllenberg M., Pásztor L., Metz J.A.J. Competitive exclusion and limiting similarity: a unified theory. Theoretical Population Biology 2006, 69:68-87.
41. Oborny B., Meszéna G., Szabó G. Dynamics of populations on the verge of extinction. Oikos 2005, 109:291-296.
42. Oborny B., Szabó G., Meszéna G. Survival of species in patchy landscapes: percolation in space and time. Scaling Biodiversity 2007, Cambridge University Press, Cambridge. D. Storch, P.A. Marquet, J.H. Brown (Eds.).
43. Parvinen K., Meszéna G. Disturbance-generated niche-segregation in a structured metapopulation model. Evolutionary Ecology Research 2009, 11:651-666.
44. Proulx S.R., Day T. What can invasion analyses tell us about evolution under stochasticity in finite populations?. Selection 2001, 2:2-15.
45. Sethi S.P., Lehoczky J.P. A comparison of the ItÔ and the Stratonovich formulations of problems in finance. Journal of Economic Dynamics and Control 1981, 3:343-356.
46. Smythe J., Moss F., McClintock P.V.E., Clarkson D. ItÔ versus Stratonovich revisited. Physics Letters A 1983, 97(3).
47. Stratonovich R.L. Some Markov methods in the theory of stochastic processes in nonlinear dynamical systems. Noise in Nonlinear Dynamical Systems Volume 1: Theory of Continuous Fokker-Planck Systems 1989, Cambridge University Press, Cambridge, UK. F. Moss, P.V.E. McClintock (Eds.).
48. Szabó P., Meszéna G. Limiting similarity revisited. Oikos 2006, 112:612-619.
49. Szilágyi A., Meszéna G. Limiting similarity and niche theory for structured populations. Journal of Theoretical Biology 2009, 258:27-37.
50. Szilágyi A., Meszéna G. Two-patch model of spatial niche segregation. Evolutionary Ecology 2009, 23:187-205.
51. Turelli M. Re-examination of stability in randomly varying versus deterministic environments with comments on stochastic theory of limiting similarity. Theoretical Population Biology 1978, 13:244-267.
52. Vandermeer J.H. Interspecific competition: a new approach to the classical theory. Science 1975, 188:253-255.