The evolution of cooperation on fragmented landscapes: The spatial Hamilton rule

Evolutionary Ecology Research

Volumn 12, Issue 1, 2010, Pages 23-33

  Zhang, Feng ^a,b   Tao, Yi ^a   Li, Zizhen ^c   Hui, Cang ^b  

^a INSTITUTE OF ZOOLOGY   (China)

^b STELLENBOSCH UNIVERSITY   (South Africa)

^c LANZHOU UNIVERSITY   (China)

Author keywords

Evolutionary game; Habitat loss; Invasion analysis; Pair approximation; Prisoner's Dilemma

Indexed keywords

EID: 76049090913     PISSN: 15220613     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (50)

1. Alizon, S. and Taylor, P. 2008. Empty sites can promote altruistic behavior. Evolution, 62: 1335-1344.
2. Axelrod, R. 1984. The Evolution of Cooperation. New York: Basic Books.
3. Axelrod, R. and Hamilton, W.D. 1981. The evolution of cooperation. Science, 211: 1390-1396.
4. Dieckmann, U., Law, R. and Metz, J.A., eds. 2000. The Geometry of Ecological Interactions: Simplifying Spatial Complexity. Cambridge: Cambridge University Press.
5. Doebeli, M. and Hauert, C. 2005. Models of cooperation based on the Prisoner's Dilemma and the Snowdrift game. Ecol. Lett., 8: 748-766.
6. Eshel, I. and Cavalli-Sforza, L.L. 1982. Assortment of encounters and evolution of cooperativeness. Proc. Natl. Acad. Sci. USA, 79: 1331-1335.
7. Ferriere, R. and Le Galliard, J.F. 2001. Invasion fitness and adaptive dynamics in spatial population models. In Dispersal (J. Clobert, E. Danchin, A.A. Dhondt and J. Nichols, eds.), pp. 57-79. Oxford: Oxford University Press.
8. Hamilton, W.D. 1963. The evolution of altruistic behavior. Am. Nat., 97: 354-356.
9. Hamilton, W.D. 1964a. The genetical evolution of social behavior I. J. Theor. Biol., 7: 1-16.
10. Hamilton, W.D. 1964b. The genetical evolution of social behavior II. J. Theor. Biol., 7: 17-52.
11. Hanski, I. 1998. Metapopulation dynamics. Nature, 396: 41-49.
12. Hauert, C. and Szabo, G. 2005. Games theory and physics. Am. J. Phys., 73: 405-414.
13. Hauser, M.D. 1992. Costs of deception: cheaters are punished in rhesus monkeys. Proc. Natl. Acad. Sci. USA, 89: 12137-12139.
14. Hemelrijk, C.K. 1990. Models of, and tests for, reciprocity, unidirectionality and other social interaction patterns at a group level. Anim. Behav., 39: 1013-1029.
15. Hemelrijk, C.K. 1991. Interchange of 'altruistic' acts as an epiphenomenona. J. Theor. Biol., 153: 131-139.
16. Hiebeler, D. 2000. Populations on fragmented landscapes with spatially structured heterogeneities: landscape generation and local dispersal. Ecology, 81: 1629-1641.
17. Hofbauer, J. and Sigmund, K. 1998. Evolutionary Games and Population Dynamics. Cambridge: Cambridge University Press.
18. Huberman, B.A. and Glance, N.S. 1993. Evolutionary games and computer simulations. Proc. Nat. Acad. Sci. USA, 90: 7716-7718.
19. Hui, C., McGeoch, M.A. and Warren, A. 2006. A spatially explicit approach to estimating species occupancy and spatial correlation. J. Anim. Ecol., 75: 140-147.
20. Hui, C., Zhang, F., Han, X.Z. and Li, Z.Z. 2005. Cooperation evolution and self-regulation dynamics in metapopulation: stage-equilibrium hypothesis. Ecol. Model., 184: 397-412.
21. Hui, C., Veldtman, R. and McGeoch, M.A. in press. Measures, perceptions and scaling patterns of aggregated species distributions. Ecography.
22. Iwasa, Y. 2000. Lattice models in ecology and pair-approximation analysis. In The Geometry of Ecological Interactions: Simplifying Spatial Complexity (U. Dieckmann, R. Law and J.A.J. Metz, eds.), pp. 227-251. Cambridge: Cambridge University Press.
23. Le Galliard, J.F., Ferriere, R. and Dieckmann, U. 2003. The adaptive dynamics of altruism in spatially heterogeneous populations. Evolution, 57: 1-17.
24. Lindgren, K. and Nordahl, M.G. 1994. Evolutionary dynamics of spatial games. Physica D, 75: 292-309.
25. Lombardo, M.P. 1990. Tree swallows and TIT-FOR-TAT: Response to Koenig. Ethol. Sociobiol., 11: 521-528.
26. Maynard Smith, J. 1964. Group selection and kin selection. Nature, 201: 145-147.
27. Noe, R. 1990. A veto game played by Baboons: a challenge to the use of the Prisoner's Dilemma as a paradigm for reciprocity and cooperation. Anim. Behav., 39: 78-90.
28. Nowak, M.A. 2006. Five rules for the evolution of cooperation. Science, 314: 1560-1563.
29. Nowak, M.A. and May, R.M. 1992. Evolutionary games and spatial chaos. Nature, 359: 826-829.
30. Nowak, M. and Sigmund, K. 1998. Evolution of indirect reciprocity by image scoring. Nature, 393: 573-577.
31. Nowak, M.A. and Sigmund, K. 2000. Games on grid. In The Geometry of Ecological Interactions: Simplifying Spatial Complexity (U. Dieckmann, R. Law and J.A.J. Metz, eds.), pp. 135-150. Cambridge: Cambridge University Press.
32. Nowak, M.A., Bonhoeffer, S. and May, R.M. 1994. Spatial games and the maintenance of cooperation. Proc. Natl. Acad. Sci. USA, 91: 4877-4881.
33. Ohtsuki, H., Hauert, C., Lieberman, E. and Nowak, M.A. 2006. A simple rule for the evolution of cooperation on graphs and social networks. Nature, 441: 502-505.
34. Pierce, N.E., Kitching, R.L., Buckley, R.C., Taylor, M.F. and Benbow, K.F. 1987. The costs and benefits of cooperation between the Australian Lycaenid butterfly, Jalmenus evagoras, and its attendant ants. Behav. Ecol. Sociobiol., 21: 237-248.
35. Queller, D.C. 1992. Does population viscosity promote kin selection? Trends Ecol. Evol., 10: 322-324.
36. Queller, D.C. 1994. Genetic relatedness in viscous population. Evol. Ecol., 8: 70-73.
37. Sella, G. 1985. Reciprocal egg trading and brood care in a hermaphroditic polychaete worm. Anim. Behav., 33: 938-944.
38. Sigmund, K. 1992. On prisoners and cells. Nature, 359: 774.
39. Szabo, G. and Toke, C. 1998. Evolutionary prisoner's dilemma game on a square lattice. Phys. Rev. E, 58: 69-73.
40. Taylor, C., Chen, J. and Iwasa, Y. 2007. Cooperation maintained by fitness adjustment. Evol. Ecol. Res., 9: 1023-1041.
41. Taylor, P.D. 1992. Altruism in viscous populations: an inclusive fitness approach. Evol. Ecol., 6: 352-356.
42. Tilman, D. and Kareiva, P. 1997. Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions. Princeton, NJ: Princeton University Press.
43. Tilman, D., May, R.M., Lehman, C.L. and Nowak, M.A. 1994. Habitat destruction and the extinction debt. Nature, 371: 65-66.
44. Trivers, R. 1971. The evolution of reciprocal altruism. Quart. Rev. Biol., 46: 35-57.
45. van Baalen, M. and Rand, R.A. 1998. The unit of selection in viscous populations and the evolution of altruism. J. Theor. Biol., 193: 631-648.
46. Wilcove, D.S., Rothstein, D., Jason, D., Phillips, A. and Losos, E. 1998. Quantifying threats to imperiled species in the United States. BioScience, 48: 607-615.
47. Wilkinson, G.S. 1984. Reciprocal food-sharing in the vampire bat. Nature, 308: 181-184.
48. Wilson, D.S. 1975. A theory of group selection. Proc. Natl. Acad. Sci. USA, 72: 143-146
49. Wood, A.J., Ackland, J.G., Dyke, H., Williams, T.P. and Lenton, T.M. 2008. Daisyworld: a review. Rev. Geophys., 46: RG1001.
50. Zhang, F., Hui, C., Han, X.Z. and Li, Z.Z. 2005. Evolution of cooperation in patchy habitat under patch decay and isolation. Ecol. Res., 20: 461-469.