A mechanistic model of a mutualism and its ecological and evolutionary dynamics

Ecological Modelling

Volumn 187, Issue 4, 2005, Pages 413-425

  McGill, Brian ^a,b  

^a University of Arizona   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Coevolution; ESS; Mutualism; Mycorrhizae; R*; Zooxanthellae

Indexed keywords

BIODIVERSITY; GAME THEORY; GENES; MATHEMATICAL MODELS; PLANTS (BOTANY); POPULATION STATISTICS;

COEVOLUTION; MUTUALISMS; MYCORRHIZAE; R; ZOOXANTHELLAE;

ECOLOGY;

COEVOLUTION; ECOLOGICAL MODELING; EVOLUTIONARILY STABLE STRATEGY; GAME THEORY; LIMITING FACTOR; MUTUALISM; POPULATION DYNAMICS;

MYCORRHIZAE;

EID: 24944452249     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2005.02.002     Document Type: Article

References (65)

1. P.A. Abrams, H. Matsuda, and Y. Harada Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits Evol. Ecol. 7 1993 465 487
2. J.F. Addicott Stability properties of 2-species models of mutualism: simulation studies Oecologia 49 1981 42 49
3. E.B. Allen, and M.F. Allen The mediation of competition by mycorrhizae in successional and patchy environments J.B. Grace D. Tilman Perspectives on Plant Competition 1990 Academic Press New York 367 390
4. R. Axelrod, and W.D. Hamilton The evolution of cooperation Science 211 1981 1390 1396
5. J.F. Battey Carbon metabolism in zooxanthellae-coelenterate symbiosis W. Reisser Algae and Symbioses: Plants, Animals, Fungi, Viruses Interactions Explored 1992 BioPress Ltd. Briston
6. M. Begon, J.L. Harper, and C.R. Townsend Ecology: Individuals, Populations, and Communities first ed. 1986 Sinauer Associates Sunderland, MA
7. C.T. Bergstrom, and M. Lachmann The Red King effect: when the slowest runner wins the coevolutionary race Proceedings of the National Academy of Sciences, 100 2003 593 598
8. D.H. Boucher The idea of mutualism, past and future DH. Boucher The Biology of Mutualism 1985 Oxford University Press New York 1 28
9. J.L. Bronstein Conditional outcomes in mutualistic interactions Trends Ecol. Evol. 9 1994 214 217
10. J.L. Bronstein Our current understanding of mutualism Q. Rev. Biol. 69 1994 31 51
11. J.S. Brown, and T.L. Vincent Coevolution as an evolutionary game Evolution 41 1987 66 79
12. C.T. de Wit, P.G. Tow, and G.C. Ennik Competition between legumes and grasses Verslagen van landbouwkundige onderzoekingen 687 1966 3 30
13. A.M. Dean A simple model of mutualism Am. Nat. 121 1983 409 417
14. R.F. Denison Legume sanctions and the evolution of symbiotic cooperation by rhizobia Am. Nat. 156 2000 576
15. I. Eshel On the neighborhood effect and the evolution of altruistic traits Theor. Popul. Biol. 3 1972 258 277
16. R. Ferriere, J.L. Bronstein, S. Rinaldi, R. Law, and M. Gauduchon Cheating and the evolutionary stability of mutualisms Proceedings of the Royal Society of London B, 269 2002 773 780
17. G.F. Gause, and A.A. Witt Behavior of mixed populations and the problem of natural selection Am. Nat. 64 1935 596 609
18. S.A.H. Geritz, E. Kisdi, G. Meszena, and J.A.J. Metz Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree Evol. Ecol. 12 1998 35 57
19. S.A.H. Geritz, J.A.J. Metz, E. Kisdi, and G. Meszena Dynamics of adaptation and evolutionary branching Phys. Rev. Lett. 78 1997 2024 2027
20. W.D. Hamilton The genetical evolution of social behavior I J. Theor. Biol. 7 1964 1 16
21. E.R. Heithaus, D.C. Culver, and A.J. Beattie Models of some ant-plant mutualisms Am. Nat. 116 1980 347 361
22. J.D. Hoeksema, and M.W. Schwartz Expanding comparative-advantage biological market models: contingency of mutualism on partners' resource requirements and acquisition trade-offs Proceedings of the Royal Society of London B, 270 2003 913 919
23. J.N. Holland Benefits and costs of mutualism: demographic consequences in a pollinating seed-consumer interaction Proceedings of the Royal Society of London Series B-Biological Sciences, 269 2002 1405 1412
24. J.N. Holland, D.L. DeAngelis, and J.L. Bronstein Population dynamics and mutualism: functional responses of benefits and costs Am. Nat. 159 2002 231 244
25. K.H. Keeler Cost: benefit models of mutualism Boucher DH The Biology of Mutualism 1985 Oxford University Press New York 1 28
26. E.T. Kiers, R.A. Rousseau, S.A. West, and R.F. Denison Host sanctions and the legume-rhizobium mutualism Nature 425 2003 78 81
27. A. Martin Biological Nitrogen Fixation: Ecology, Technology, and Physiology 1984 Plenum Press New York
28. R.M. May Models for two interacting populations RM. May Theoretical Ecology: Principles and Applications 1976 W B Saunders Co. Philadelphia, PA 49 70
29. J. Maynard-Smith Evolution and the Theory of Games 1982 Cambridge University Press Cambridge
30. J. Maynard-Smith, and G.R. Price The logic of animal conflict Nature 246 1973 15 18
31. R.E. Michod, and M.J. Sanderson Behavioural structure and the evolution of social behavior P.J. Greenwood M. Slatkin Evolution - Essays in honour of John Maynard Smith 1985 Cambridge University Press Cambridge
32. C. Neuhauser, and J.E. Fargione A mutualism-parasitism continuum model and its application to plant-mycorrhizae interactions Ecol. Model. 177 2004 337 352
33. R. Noe, and P. Hammerstein Biological markets Tree 10 1995 336 339
34. Q. Paris The return of von Liebig's "Law of the Minimum" Agron. J. 84 1992 1040 1046
35. N.E. Pierce, and W.R. Young Lycaenid butterflies and ants: two-species stable equilibria and mutalistic commensal, and parasitic interactions Am. Nat. 128 1986 216 227
36. B. Rai, H.I. Freedman, and J.F. Addicott Analysis of three species models of mutualism in predator-prey and competitive systems Math. Biosci. 65 1983 13 50
37. F.L. Ratnieks Reproductive harmony via mutual policing by workers in eusocial Hymenoptera Am. Nat. 132 1988 217 236
38. D. Ricardo On the Principles of Political Economy and Taxation 1821 John Murray London
39. M.S. Ringel, H.H. Hu, and G. Anderson The stability and persistence of mutualisms embedded in community interactions Theor. Popul. Biol. 50 1996 281 297
40. J. Roughgarden Resource partitioning among competing species - a coevolutionary approach Theor. Popul. Biol. 9 1976 338 424
41. J. Roughgarden The theory of coevolution D.J. Futuyma M. Slatkin Coevolution 1983 Sinauer Associates Sunderland, MA
42. J. Roughgarden Community coevolution: a comment Evolution 41 1987 1130 1134
43. R. Rowan Diversity and ecology of zooxanthellae on coral reefs J. Phycol. 34 1998 407 417
44. M.W. Schwartz, and J.D. Hoeksema Specialization and resource trade: biological markets as a model of mutualisms Ecology 79 1998 1029 1038
45. Schwartz N., Cohen R., ben-Avraham D., Barabasi A.L., Havlin S. (2002) Percolation in directed scale-free networks. Phys. Rev. E, 66, art. no.-015104.
46. K. Sigmund, and M.A. Nowak Evolution of indirect reciprocity by image scoring Nature 393 1998 573 577
47. T.R. Sinclair, and W.I. Park Inadequacy of the Liebig limiting-factor paradigm for explaining varying crop yields Agron. J. 85 1993 742 746
48. Smith A. (1776) An inquiry into the nature and causes of he wealth of nations. W. Strahan and T. Cadell, London.
49. D.C. Smith, and A.E. Douglas The Biology of Symbiosis 1987 Edward Arnold London
50. D.P. Stribley, P.B. Tinker, and R.C. Snellgrove Effect of vesicular-arbuscular mycorrhizal fungi on the relations of plant growth, internal phosphorous concentration and soil phosphate analysis J. Soil Sci. 31 1980 655 672
51. E. Szathmary, and J. Maynard Smith The Major Transitions in Evolution 1995 W.H. Freeman and Co. New York
52. M.L. Taper, and T.J. Case Models of character displacement and the theoretical robustness of taxon cycles Evolution 46 1992 317 333
53. D. Tilman Resources: a graphical-mechanistic approach to competition and predation Am. Nat. 116 1980 362 393
54. D. Tilman Plant Strategies and the Dynamics and Structure of Plant Communities 1988 Princeton University Press Princeton, NJ
55. D.W. Tonkyn Predator-mediated mutualism: theory and tests in the homoptera J. Theor. Biol. 118 1986 15 31
56. R.L. Trivers The evolution of reciprocal altruism Q. Rev. Biol. 46 1971 35 57
57. T.L. Vincent Strategy dynamics and the ESS T.L. Vincent A.I. Mees LS. Jennings Dynamics of Complex Interconnected Biological Systems 1990 Birkhauser Boston
58. T.L. Vincent, and J.S. Brown Stability in an evolutionary game Theor. Popul. Biol. 26 1984 408 427
59. T.L. Vincent, and J.S. Brown Evolution under non-equilibrium dynamics Math. Model. 8 1987 766 771
60. T.L. Vincent, M.V. Van, and B.S. Goh Ecological stability, evolutionary stability and the ESS maximum principle Evol. Ecol. 10 1996 567 591
61. von Liebig J. (1862) Die Chemie in irher Anwendung auf Agricultur und Physiologie. 7e ed. F. Vieweg und Sohn, Braunschwieg.
62. D.M. Wilkinson Horizontally acquired mutualisms, an unsolved problem in ecology? Oikos 92 2001 377 384
63. G.C. Williams Adaptation and Natural Selection 1966 Princeton University Press Princeton, NJ
64. D.H. Wright A simple, state model of mutualism incorporating handling time Am. Nat. 134 1989 664 667
65. Z. Zhang Mutualism or cooperation among competitors promote coexistence and competitive ability Ecol. Model. 164 2003 271 282