Adaptive Dynamics of Altruistic Cooperation in a Metapopulation: Evolutionary Emergence of Cooperators and Defectors or Evolutionary Suicide?

Bulletin of Mathematical Biology

Volumn 73, Issue 11, 2011, Pages 2605-2626

  Parvinen, Kalle ^a  

^a UNIVERSITY OF TURKU   (Finland)

Author keywords

Adaptive dynamics; Altruism; Cooperation; Evolutionary suicide; Kin selection

Indexed keywords

ALTRUISM; ANIMAL; ARTICLE; COOPERATION; EVOLUTION; HUMAN; MATHEMATICAL PHENOMENA; POPULATION DYNAMICS; PSYCHOLOGICAL MODEL;

ALTRUISM; ANIMALS; BIOLOGICAL EVOLUTION; COOPERATIVE BEHAVIOR; HUMANS; MATHEMATICAL CONCEPTS; MODELS, PSYCHOLOGICAL; POPULATION DYNAMICS;

EID: 81255187964     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-011-9638-4     Document Type: Article

References (57)

1. Alizon, S., & Taylor, P. (2008). Empty sites can promote altruistic behavior. Evolution, 62, 1335-1344.
2. Allee, W. C., Emerson, A., Park, T., & Schmidt, K. (1949). Principles of animal ecology. Philadelphia: Saunders.
3. Brännström, Å., & Dieckmann, U. (2005). Evolutionary dynamics of altruism and cheating among social amoebas. Proc. R. Soc. Lond. B, 272, 1609-1616.
4. Doebeli, M., Hauert, C., & Killingback, T. (2004). The evolutionary origin of cooperators and defectors. Science, 306, 859-862.
5. Doebeli, M., & Ruxton, G. D. (1997). Evolution of dispersal rates in metapopulation models: branching and cyclic dynamics in phenotype space. Evolution, 51, 1730-1741.
6. Eshel, I. (1983). Evolutionary and continuous stability. J. Theor. Biol., 103, 99-111.
7. Faddeev, D. K., & Faddeeva, V. N. (1963). Computational methods of linear algebra. San Francisco: Freeman.
8. Ferrière, R. (2000). Adaptive responses to environmental threats: evolutionary suicide, insurance, and rescue. In Options, Spring 2000 (pp. 12-16). Laxenburg: IIASA.
9. Geritz, S. A. H., Kisdi, É., Meszéna, G., & Metz, J. A. J. (1998). Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol., 12, 35-57.
10. Geritz, S. A. H., Metz, J. A. J., Kisdi, É., & Meszéna, G. (1997). Dynamics of adaptation and evolutionary branching. Phys. Rev. Lett., 78, 2024-2027.
11. Geritz, S. A. H., van der Meijden, E., & Metz, J. A. J. (1999). Evolutionary dynamics of seed size and seedling competitive ability. Theor. Popul. Biol., 55, 324-343.
12. Grafen, A. (1985). A geometric view of relatedness. Oxf. Surv. Evol. Biol., 2, 28-89.
13. Griffin, A., West, S., & Buckling, A. (2004). Cooperation and competition in pathogenic bacteria. Nature, 430, 1024-1027.
14. Gyllenberg, M., & Metz, J. A. J. (2001). On fitness in structured metapopulations. J. Math. Biol., 43, 545-560.
15. Gyllenberg, M., & Parvinen, K. (2001). Necessary and sufficient conditions for evolutionary suicide. Bull. Math. Biol., 63, 981-993.
16. Gyllenberg, M., Parvinen, K., & Dieckmann, U. (2002). Evolutionary suicide and evolution of dispersal in structured metapopulations. J. Math. Biol., 45, 79-105.
17. Hamilton, W. D. (1964a). The genetical evolution of social behaviour i. J. Theor. Biol., 7, 1-16.
18. Hamilton, W. D. (1964b). The genetical evolution of social behaviour ii. J. Theor. Biol., 7, 17-52.
19. Hardin, G. (1968). The tragedy of the commons. Science, 162, 1243-1248.
20. Harrison, F., & Buckling, A. (2009). Cooperative production of siderophores by Pseudomonas aeruginosa. Front. Biosci., 14, 4113-4126.
21. Hauert, C. (2006). Cooperation, collectives formation and specialization. Adv. Complex Syst., 9, 315-335.
22. Hauert, C., Holmes, M., & Doebeli, M. (2006). Evolutionary games and population dynamics: maintenance of cooperation in public goods games. Proc. R. Soc. Lond. B, 273, 2565-2570.
23. Hauert, C., Traulsen, A., Brandt, H., Nowak, M. A., & Sigmund, K. (2007). Via freedom to coercion: the emergence of costly punishment. Science, 316, 1905-1907.
24. Jansen, V. A. A., & van Baalen, M. (2006). Altruism through beard chromodynamics. Nature, 440, 663-666.
25. Kemeny, J. G., & Snell, J. (1960). Finite Markov chains. Princeton: van Nostrand.
26. Kuemmerli, R., Griffin, A. S., West, S. A., Buckling, A., & Harrison, F. (2009). Viscous medium promotes cooperation in the pathogenic bacterium Pseudomonas aeruginosa. Proc. R. Soc. Lond. B, 276, 3531-3538.
27. Le Galliard, J.-F., Ferriére, R., & Dieckmann, U. (2003). The adaptive dynamics of altruism in spatially heterogeneous populations. Evolution, 57, 1-17.
28. Levins, R. (1969). Some demographic and genetic consequenses of environmental heterogeneity for biological control. Bull. Entomol. Soc. Am., 15, 237-240.
29. Levins, R. (1970). Extinction. In M. Gerstenhaber (Ed.), Some mathematical problems in biology (pp. 77-107). Providence: American Mathematical Society.
30. Mathias, A., Kisdi, É., & Olivieri, I. (2001). Divergent evolution of dispersal in a heterogeneous landscape. Evolution, 55, 246-259.
31. Matsuda, H. (1985). Evolutionarily stable strategies for predator switching. J. Theor. Biol., 115, 351-366.
32. Matsuda, H., & Abrams, P. A. (1994). Timid consumers: self-extinction due to adaptive change in foraging and anti-predator effort. Theor. Popul. Biol., 45, 76-91.
33. Maynard Smith, J. (1976). Evolution and the theory of games. Am. Sci., 64, 41-45.
34. Metz, J. A. J., Geritz, S. A. H., Meszéna, G., Jacobs, F. J. A., & van Heerwaarden, J. S. (1996). Adaptive dynamics, a geometrical study of the consequenses of nearly faithful reproduction. In S. J. van Strien & S. M. Verduyn Lunel (Eds.), Stochastic and spatial structures of dynamical systems (pp. 183-231). Amsterdam: North-Holland.
35. Metz, J. A. J., & Gyllenberg, M. (2001). How should we define fitness in structured metapopulation models? Including an application to the calculation of ES dispersal strategies. Proc. R. Soc. Lond. B, 268, 499-508.
36. Metz, J. A. J., Nisbet, R. M., & Geritz, S. A. H. (1992). How should we define "fitness" for general ecological scenarios? Trends Ecol. Evol., 7, 198-202.
37. Nowak, M. A., & Sigmund, K. (2005). Evolution of indirect reciprocity. Nature, 437, 1291-1298.
38. Nurmi, T., & Parvinen, K. (2008). On the evolution of specialization with a mechanistic underpinning in structured metapopulations. Theor. Popul. Biol., 73, 222-243.
39. Nurmi, T., & Parvinen, K. (2011). Joint evolution of specialization and dispersal in structured metapopulations. J. Theor. Biol., 275, 78-92. doi: 10. 1016/j. jtbi. 2011. 01. 023.
40. Ohtsuki, H., & Iwasa, Y. (2006). The leading eight: social norms that can maintain cooperation by indirect reciprocity. J. Theor. Biol., 239, 435-444.
41. Parvinen, K. (1999). Evolution of migration in a metapopulation. Bull. Math. Biol., 61, 531-550.
42. Parvinen, K. (2002). Evolutionary branching of dispersal strategies in structured metapopulations. J. Math. Biol., 45, 106-124.
43. Parvinen, K. (2005). Evolutionary suicide. Acta Biotheor., 53, 241-264.
44. Parvinen, K. (2006). Evolution of dispersal in a structured metapopulation model in discrete time. Bull. Math. Biol., 68, 655-678.
45. Parvinen, K. (2007). Evolutionary suicide in a discrete-time metapopulation model. Evol. Ecol. Res., 9, 619-633.
46. Parvinen, K. (2010). Adaptive dynamics of cooperation may prevent the coexistence of defectors and cooperators and even cause extinction. Proc. R. Soc. Lond. B, 277, 2493-2501.
47. Parvinen, K., Dieckmann, U., Gyllenberg, M., & Metz, J. A. J. (2003). Evolution of dispersal in metapopulations with local density dependence and demographic stochasticity. J. Evol. Biol., 16, 143-153.
48. Parvinen, K., & Egas, M. (2004). Dispersal and the evolution of specialisation in a two-habitat type metapopulation. Theor. Popul. Biol., 66, 233-248.
49. Parvinen, K., & Metz, J. A. J. (2008). A novel fitness proxy in structured locally finite metapopulations with diploid genetics, with an application to dispersal evolution. Theor. Popul. Biol., 73, 517-528.
50. Queller, D. C. (1994). Genetic relatedness in viscous populations. Evol. Ecol., 8, 70-73.
51. Racey, D., Inglis, R. F., Harrison, F., Oliver, A., & Buckling, A. (2010). The effect of elevated mutation rates on the evolution of cooperation and virulence of Pseudomonas aeruginosa. Evolution, 64, 515-521.
52. Rankin, D. J., & López-Sepulcre, A. (2005). Can adaptation lead to extinction? Oikos, 111, 616-619.
53. Ross-Gillespie, A., Gardner, A., Buckling, A., West, S. A., & Griffin, A. S. (2009). Density dependence and cooperation: theory and a test with bacteria. Evolution, 63, 2315-2325.
54. Taylor, P. D. (1992). Altruism in viscous populations-an inclusive fitness model. Evol. Ecol., 6, 352-356.
55. van Tienderen, P. H., & De Jong, G. (1986). Sex ratio under the haystack model: Polymorphism may occur. J. Theor. Biol., 122, 69-81.
56. Webb, C. (2003). A complete classification of Darwinian extinction in ecological interactions. Am. Nat., 161, 181-205.
57. West, S. A., Griffin, A. S., & Gardner, A. (2008). Social semantics: how useful has group selection been? J. Evol. Biol., 21, 374-385.