Species packing in nonsmooth competition models

Theoretical Ecology

Volumn 6, Issue 1, 2013, Pages 1-19

  Barabás, György ^a   D'Andrea, Rafael ^a   Ostling, Annette Marie ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Competition kernel; Continuous coexistence; Limiting similarity; Trait axis

Indexed keywords

ECOLOGICAL MODELING; GENERAL EQUILIBRIUM ANALYSIS; GROWTH RATE; INTRASPECIFIC COMPETITION;

EID: 84872905114     PISSN: 18741738     EISSN: 18741746     Source Type: Journal    
DOI: 10.1007/s12080-011-0151-z     Document Type: Article

References (48)

1. Abrams PA (1983) The theory of limiting similarity. Ann Rev Ecolog Syst 14: 359-376.
2. Abrams PA, Rueffler C, Dinnage R (2008) Competition-similarity relationships and the nonlinearity of competitive effects in consumer-resource systems. Am Nat 172: 463-474.
3. Adler FR, Mosquera J (2000) Is space necessary? Interference competition and limits to biodiversity. Ecology 81: 3226-3232.
4. Adler PB, Hillerislambers J, Levine JM (2007) A niche for neutrality. Ecol Lett 10: 95-104.
5. Armstrong R, McGehee R (1976) Coexistence of species competing for shared resources. Theor Popul Biol 9: 317-328.
6. Barabás G, Meszéna G (2009) When the exception becomes the rule: the disappearance of limiting similarity in the Lotka-Volterra model. J Theor Biol 258: 89-94.
7. Barabás G, Meszéna G, Ostling A (2011) Community robustness and limiting similarity in periodic environments. Theor Ecol. doi: 10. 1007/s12080-011-0127-z.
8. Brychkov YA, Shirokov YM (1970) Asymptotic behavior of Fourier transforms. Theor Math Phys 4(3): 301-309.
9. Case TJ (2000) An illustrated guide to theoretical ecology. Oxford University Press, Oxford.
10. Chesson P (1990) MacArthur's consumer-resource model. Theor Popul Biol 37: 26-38.
11. Chesson P (2000) Mechanisms of maintenance of species diversity. Ann Rev Ecolog Syst 31: 343-366.
12. Cornwell WK, Ackerly DD (2009) Community assembly and shifts in plant trait distributions across an environmental gradient in coastal California. Ecol Monogr 79: 109-126.
13. Falconer DS (1981) Introduction to quantitative genetics. Longman, London.
14. Gause GF (1934) The struggle for existence. Williams and Wilkins, Baltimore.
15. Geritz SAH, van der Meijden E, Metz JAJ (1998) Evolutionary dynamics of seed size and seedling competitive ability. Theor Popul Biol 55: 324-343.
16. Gyllenberg M, Meszéna G (2005) On the impossibility of the coexistence of infinitely many strategies. J Math Biol 50: 133-160.
17. Hardin G (1960) The competitive exclusion principle. Science 131: 1292-1297.
18. Hernandez-Garcia E, Lopez C, Pigolotti S, Andersen KH (2009) Species competition: coexistence, exclusion and clustering. Philos Trans R Soc A 367: 3183-3195.
19. Holt RD (2006) Emergent neutrality. Trends Ecol Evol 21: 531-533.
20. Hubbell SP (2006) Neutral theory and the evolution of ecological equivalence. Ecology 87: 1387-1398.
21. Kinzig AP, Levin SA, Dushoff J, Pacala SW (1999) Limiting similarity, species packing, and system stability for hierarchical competition-colonization models. Am Nat 153: 371-383.
22. Krebs CJ (2001) Ecology. The experimental analysis of distribution and abundance. Pearson Benjamin Cummings, San Francisco.
23. Leimar O, Doebeli M, Dieckmann U (2008) Evolution of phenotypic clusters through competition and local adaptation along an environmental gradient. Evolution 62: 807-822.
24. Levin SA (1970) Community equilibria and stability, and an extension of the competitive exclusion principle. Am Nat 104: 413-423.
25. Levin SA, Pimentel D (1981) Selection for intermediate rates of increase in parasite-host systems. Am Nat 117: 308-315.
26. MacArthur RH (1962) Some generalized theorems of natural selection. Proc Natl Acad Sci U S A 48: 1893-1897.
27. MacArthur RH (1970) Species packing and competitive equilibria for many species. Theor Popul Biol 1: 1-11.
28. MacArthur RH, Levins R (1967) Limiting similarity, convergence, and divergence of coexisting species. Am Nat 101(921): 377-385.
29. MacArthur RH, Wilson EO (1967) The theory of island biogeography. Princeton University Press, Princeton.
30. Mason NWH, Wilson JB (2006) Mechanisms of coexistence in a lawn community: mutual corroboration between two independent assembly rules. Community Ecol 7: 109-116.
31. May RM (1973) Stability and complexity in model ecosystems. Princeton University Press, Princeton.
32. May RM, MacArthur RH (1972) Niche overlap as a function of environmental variability. Proc Natl Acad Sci USA 69: 1109-1113.
33. Meszéna G (2005) Adaptive dynamics: the continuity argument. J Evol Biol 18: 1182-1185.
34. Meszéna G, Gyllenberg M, Pásztor L, Metz JAJ (2006) Competitive exclusion and limiting similarity: a unified theory. Theor Popul Biol 69: 68-87.
35. Metz JAJ, Mylius SD, Diekmann O (2008) When does evolution optimize? Evol Ecol Res 10: 629-654.
36. Muller-Landau HC (2010) The tolerance-fecundity trade-off and the maintenance of diversity in seed size. Proc Nat Acad Sci 107: 4242-4247.
37. Pigolotti S, López C, Hernández-García E, Andersen KH (2010) How Gaussian competition leads to lumpy or uniform species distribution. Theor Ecol. 3: 89-96.
38. Pillar VD, Duarte LS, Sosinski EE, Joner F (2009) Discriminating trait-convergence and trait-divergence assembly patterns in ecological community gradients. J Veg Sci 20: 334-348.
39. Roughgarden J (1979) Theory of population genetics and evolutionary ecology: an introduction. Macmillan, New York.
40. Rudin W (1973) Functional analysis. McGraw-Hill, New York.
41. Scheffer M, van Nes E (2006) Self-organized similarity, the evolutionary emergence of groups of similar species. Proc Natl Acad Sci U S A 103: 6230-6235.
42. Stubbs WJ, Wilson JB (2004) Evidence for limiting similarity in a sand dune community. J Ecol 92: 557-567.
43. Szabó P, Meszéna G (2006) Limiting similarity revisited. Oikos 112: 612-619.
44. terHorst C, Miller TE, Powell E (2010) When can competition for resources lead to ecological equivalence? Evol Ecol Res 12: 843-854.
45. Tilman D (1994) Competition and biodiversity in spatially structured habitats. Ecology 75: 2-16.
46. Vandermeer JH (1975) Interspecific competition: a new approach to the classical theory. Science 188: 253-255.
47. Volterra V (1926) Variazione e fluttuazione del numero d'individui in specie animali eonviventi. Mem. Accad. Nazionale Lincei (Ser. 6) 2: 31-113.
48. Weiher E, Clarke GDP, Keddy PA (1998) Community assembly rules, morphological dispersion, and the coexistence of plant species. Oikos 81: 309-322.