1420-9101/asset/JEB_left.gif?v=1&s=cdd0a87e0640cdbe1b969dbbd029d612b7a1748a)
1420-9101/asset/JEB_right.gif?v=1&s=1566ac71d957297ac097f5a646bcb0098128b801)
You have full text access to this OnlineOpen article
The evolution of helping and harming on graphs: the return of the inclusive fitness effect
Article first published online: 31 AUG 2007
DOI: 10.1111/j.1420-9101.2007.01414.x
Additional Information
How to Cite
LEHMANN, L., KELLER, L. and SUMPTER, D. J. T. (2007), The evolution of helping and harming on graphs: the return of the inclusive fitness effect. Journal of Evolutionary Biology, 20: 2284–2295. doi: 10.1111/j.1420-9101.2007.01414.x
Publication History
- Issue published online: 1 OCT 2007
- Article first published online: 31 AUG 2007
- Received 5 February 2007; revised 4 July 2007; accepted 4 July 2007
References
- 1982. A condition for group selection to prevail over counteracting individual selection. Evolution 36: 832–842.
- & 1998. The unit of selection in viscous populations and the evolution of altruism. J. Theor. Biol. 193: 631–648.
- 1999. Gene genealogies in geographically structured populations. Genetics 152: 797–806.
- 2003. Geographical Genetics. Princeton University Press, Princeton, NJ.
- 1972. On the neighbor effect and the evolution of altruistic traits. Theor. Popul. Biol. 11: 258–277.
- 2004. Mathematical Population Genetics. Springer-Verlag, New York.
- 1998. Foundations of Social Evolution. Princeton University Press, Princeton, NJ.
- & 1999. Evolution of stepping-stone dispersal rates. Proc. R. Soc. Lond. Ser. B. Biol. Sci. 221: 2507–2513.
- 2006. Optimization of inclusive fitness. J. Theor. Biol. 238: 541–563.
- 2007. An inclusive fitness analysis of altruism on a cyclical network. J. Evol. Biol. doi 10.1111/j.1420-9101.2007.01413.x.
- 1964. The genetical evolution of social behaviour. I. J. Theor. Biol. 7: 1–16.
- 1970. Selfish and spiteful behavior in an evolutionary model. Nature 228: 1218–1220.
- 1971. Selection of selfish and altruistic behaviour in some extreme models. In Man and Beast: Comparative Social Behavior (J.Eisenberg & W.Dillon, eds), pp. 56–91. Smithsonian Institutions Press, Washington, DC.
- 2002. Effects of space in 22 games. Int. J. Bifurcat. Chaos 12: 1531–1548.
- & 2004. Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428: 643–646.
- & 2001. Evolution of altruism in stepping-stone populations with overlapping generations. Theor. Popul. Biol. 60: 315–325.
- 2000. The spatial spread of altruism versus the evolutionary response of egoists. Proc. R. Soc. Lond. Ser. B Biol. Sci. 267: 1979–1985.
- , & 2003. The adaptive dynamics of altruism in spatially heterogeneous populations. Evolution 57: 1–17.
- 2006. The evolution of trans-generational altruism: kin selection meets niche construction. J. Evol. Biol. 20: 181–189.
- & 2006. The evolution of cooperation and altruism – a general framework and a classification of models. J. Evol. Biol. 19: 1365–1376.
- , & 2006. Population demography and the evolution of helping behaviors. Evolution 60: 1137–1151.
- 2005. Long-term stability from fixation probabilities in finite populations: new perspectives for ESS theory. Theor. Popul. Biol. 68: 19–27.
- , & 2005. Evolutionary dynamics on graphs. Nature 433: 312–316.
- 1975. Heterozygosity and relationship in regularly subdivided populations. Theor. Popul. Biol. 8: 212–241.
- 1970. Effective number of alleles in a subdivided population. Theor. Popul. Biol. 1: 273–306.
- 1974. A simple proof that certain quantities are independent of the geographical structure of population. Theor. Popul. Biol. 5: 148–154.
- 1976. The decay of genetic variability in geographically structured populations. Theor. Popul. Biol. 10: 70–82.
- 1982. Geographical invariance in population genetics. J. Theor. Biol. 99: 159–172.
- 1983. The robustness of neutral models of geographical variation. Theor. Popul. Biol. 24: 268–294.
- , & 1997. The evolution of cooperation in a lattice-structured population. J. Theor. Biol. 184: 65–81.
- 2006. Five rules for the evolution of cooperation. Science 314: 1560–1563.
- , & 1994. Spatial games and the maintenance of cooperation. Proc. Natl Acad. Sci. U.S.A. 91: 4877–4881.
- & 2006. Evolutionary games on cycles. Proc. R. Soc. Lond. Ser. B Biol. Sci. 273: 2249–2256.
- , , & 2006. A simple rule for the evolution of cooperation on graphs and social networks. Nature 441: 502–505.
- 1992. Does population viscosity promote kin selection. Trends Ecol. Evol. 7: 322–324.
- 2006. The evolution of cooperation and altruism: the basic conditions are simple and well known. J. Evol. Biol. 19: 1413–1414.
- & 2001. Sex ratio conflict and worker production in eusocial Hymenoptera. Am. Nat. 158: 166–177.
- 2003. A minimal derivation of convergence stability measures. J. Theor. Biol. 221: 665–668.
- 2004. Genetic Structure and Selection in Subdivided Populations. Princeton University Press, Princeton, NJ.
- 2006. Separation of time scales fixation probabilities and convergence to evolutionarily stable states under isolation by distance. Theor. Popul. Biol. 69: 165–179.
- & 2000. A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal. J. Evol. Biol. 13: 814–825.
- & 2004. The robustness of Hamilton's rule with inbreeding and dominance: kin selection and fixation probabilities under partial sib mating. Am. Nat. 164: 214–231.
- & 2005. Scale-free networks provide a unifying framework for the emergence of cooperation. Phys. Rev. Lett. 95: 098104.
- 1992a. Inclusive fitness in a homogeneous environment. Proc. R. Soc. Lond. Ser. B Biol. Sci. 240: 299–302.
- 1992b. Altruism in viscous populations – an inclusive fitness model. Evol. Ecol. 6: 352–356.
- & 1996. How to make a kin selection model. J. Theor. Biol. 180: 27–37.
- & 2000. Overlapping generations can promote altruistic behavior. Evolution 54: 1135–1141.
- & 1998. Collective dynamics of small-world networks. Nature 393: 440–442.