Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits (original) (raw)
References
Abrams, P. A. (1986) Adaptive responses of predators to prey and prey to predators: the failure of the arms race analogy.Evolution40, 1229–47. Google Scholar
Abrams, P. A. (1989) The importance of intraspecific frequency dependent selection in modelling competitive coevolution.Evol. Ecol.3, 215–20. Google Scholar
Abrams, P. A. (1990) The evolution of antipredator traits in prey in response to evolutionary change in predators.Oikos59, 147–56. Google Scholar
Abrams, P. A. (1991) The relationship between food availability and foraging effort: effects of life history and time-scale.Ecology72, 1242–52. Google Scholar
Abrams, P. A. (1992) Adaptive foraging by predators as a cause of predator—prey cycles.Evol. Ecol.6, 56–72. Google Scholar
Altenberg, L. (1991) Chaos from linear frequency-dependent selection.Am. Nat.138, 51–68. Google Scholar
Brown, J. S. and Vincent, T. L. (1987) Coevolution as an evolutionary game.Evolution41, 66–79. Google Scholar
Case, T. J. (1982) Coevolution in resource-limited competition communities.Theor. Pop. Biol.21, 69–91. Google Scholar
Charlesworth, B. (1990) Optimization models, quantitative genetics, and mutation.Evolution44, 520–38. Google Scholar
Christiansen, F. B. (1991) On conditions for evolutionary stability for a continuous varying character.Am. Nat.138, 37–50. Google Scholar
Cressman, R., Dash, A. T. and Akin, E. A. (1986) Evolutionary games and two species population dynamics.J. Math. Biol.23, 221–30. PubMed Google Scholar
Curtsinger, J. W. (1984) Evolutionary principles for polynomial models of frequency dependent selection.Proc. Natl Acad. Sci. USA81, 2840–2. Google Scholar
Endler, J. A. (1986)Natural Selection in the Wild. Princeton University Press, Princeton, NJ, USA. Google Scholar
Eshel, I. (1983) Evolutionary and continuous stability.J. Theor. Biol.103, 99–111. Google Scholar
Eshel, I. and Akin, E. (1983) Coevolutionary instability of mixed Nash solutions.J. Math. Biol.18, 123–34. PubMed Google Scholar
Eshel, I. and Motro, U. (1981) Kin selection and strong evolutionary stability of mutual help.Theor. Pop. Biol.19, 420–33. Google Scholar
Felsenstein, J. (1979) Excursions along the interface between disruptive and stabilizing selection.Genetics93, 773–95. Google Scholar
Fisher, R. A. (1930)The Genetical Theory of Natural Selection. Clarendon Press, Oxford, UK (reprinted 1958, Dover, New York). Google Scholar
Grant, P. (1986)Ecology and Evolution of Darwin's Finches. Princeton University Press, Princeton, NJ, USA. Google Scholar
Haldane, J. B. S. (1932)The Causes of Evolution. Harper and Brothers, London, UK. Google Scholar
Hartl, D. and Clark, A. (1988)Principles of Population Genetics, 2nd edn. Sinauer, Sunderland, MA, USA. Google Scholar
Hastings, A. and Hom, C. (1990) Multiple equilibria and maintenance of additive genetic variance in a model of pleiotropy.Evolution44, 1153–63. Google Scholar
Hofbauer, J. and Sigmund, K. (1988) The theory of evolution and dynamical systems. Cambridge University Press, Cambridge, UK. Google Scholar
Holling, C. S. (1966) The functional response of invertebrate predators to prey density.Mem. Entomol. Soc. Can.48, 1–86. Google Scholar
Huxley, J. S. (1938) The present standing of the theory of sexual selection. In_Evolution_ (G. R. de Beer, ed.), pp. 11–42. Clarendon Press, Oxford. Google Scholar
Iwasa, Y., Pomiankowski, A. and Nee, S. (1991) The evolution of costly mate preferences. II. The ‘handicap’ principle.Evolution45, 1431–42. Google Scholar
Krebs, J. R. and Davies, N. B. (1991)Behavioural Ecology, 3rd edn. Blackwell Scientific, London, UK. Google Scholar
Lande, R. (1976) Natural selection and random genetic drift in phenotypic evolution.Evolution30, 314–34. Google Scholar
Lande, R. (1981) Models of speciation by sexual selection on polygenic traits.Proc. Natl Acad. Sci. USA78, 3721–5. Google Scholar
Lande, R. (1982) A quantitative genetic theory of life history evolution.Ecology63, 607–15. Google Scholar
Lawlor, L. R. and Maynard Smith, J. (1976) The coevolution and stability of competing species.Am. Nat.110, 79–99. Google Scholar
Lessard, S. (1990) Evolutionary stability: one concept, several meanings.Theor. Pop. Biol.37, 159–70. Google Scholar
Matsuda, H. (1988) Interaction in a prey predator system and the theory of coevolution.Bull. Pop. Ecol. Soc.45, 3–10 (in Japanese). Google Scholar
Maynard Smith, J. (1982)Evolution and the Theory of Games. Cambridge University Press, Cambridge, UK. Google Scholar
Maynard Smith, J. and Brown, R. L. W. (1986) Competition and body size.Theor. Pop. Biol.30, 166–79. Google Scholar
Maynard Smith, J. and Price, G. R. (1973) The logic of animal conflict.Nature246, 15–18. Google Scholar
Murdoch, W. W. (1969) Switching in general predators: experiments on predator specificity and stability of prey populations.Ecol. Monog.39, 335–54. Google Scholar
Pacala, S. W. and Roughgarden, J. (1983) The evolution of resource partitioning in a multidimensional resource space.Theor. Pop. Biol.22, 127–45. Google Scholar
Packer, C. and Abrams, P. A. (1990) Are cooperative groups more vigilant than selfish groups?J. Theor. Biol.142, 341–57. Google Scholar
Parker, G. A. and Hammerstein, P. (1985) Game theory and animal behaviour. In_Evolution: Essays in Honour of John Maynard Smith_ (P. J. Greenwood, P. H. Harvey and M. Slatkin, eds), pp. 73–94. Cambridge University Press, Cambridge, UK. Google Scholar
Parker, G. A. and Maynard Smith, J. (1990) Optimality theory in evolutionary biology.Nature348, 27–33. Google Scholar
Pease, C. (1984) On the evolutionary reversal of competitive dominance.Evolution38, 109–15. Google Scholar
Roughgarden, J. (1978) Coevolution in ecological systems III. Co-adaptation and equilibrium population size. In_Ecological Genetics_ (P. F. Brussard, ed.). Springer-Verlag, Berlin. Google Scholar
Roughgarden, J. (1979)The Theory of Population Genetics and Evolutionary Ecology: An Introduction. MacMillan, NY, USA. Google Scholar
Roughgarden, J. (1983) The theory of coevolution. In_Coevolution_ (D. J. Futuyma and M. Slatkin, eds), pp. 33–64. Sinauer, Sunderland, MA, USA. Google Scholar
Roughgarden, J. (1987) Community coevolution: a comment.Evolution41, 1130–4. Google Scholar
Rummel, J. D. and Roughgarden, J. (1985) The theory of faunal build-up for competition communities.Evolution39, 1009–33. Google Scholar
Seger, J. and Hamilton, W. D. (1988) Parasites and sex. In_The Evolution of Sex_ (R. E. Michod and B. R. Levin, eds), pp. 176–93. Sinauer Associates, Sunderland, MA, USA. Google Scholar
Stenseth, N. Chr. and Maynard Smith, J. (1984) Coevolution in ecosystems: Red Queen evolution or stasis?Evolution38, 870–80. Google Scholar
Takada, T. and Kigami, J. (1991) The dynamical attainability of ESS in evolutionary games.J. Math. Biol.29, 513–30. PubMed Google Scholar
Taper, M. (1988) The coevolution of resource competition: appropriate and inappropriate models of character displacement.Bull. Pop. Ecol. Soc. (Japan)44, 45–54. Google Scholar
Taper, M. and Case, T. J. (1992) Models of character displacement and the theoretical robustness of taxon cycles.Evolution46, 317–33. Google Scholar
Taylor, P. D. (1989) Evolutionary stability in one-parameter models under weak selection.Theor. Pop. Biol.36, 125–43. Google Scholar
Thomas, B. (1985) On evolutionary stable sets.J. Math. Biol.22, 105–15. Google Scholar
Turelli, M. (1988) Population genetic models for polygenic variation and evolution.Proc. Second Int. Conf. Quantitative Genetics (B. S. Weir, E. J. Eisen, M. M. Goodman and G. Nankoong, eds), pp. 601–18. Sinauer Associates, Sunderland, MA, USA. Google Scholar
Vincent, T. L. and Brown, J. S. (1988) The evolution of ESS theory.Ann. Rev. Ecol. Syst.19 423–44. Google Scholar
Wiggins, D. A. (1991) Natural selection on body size and laying date in the tree swallow.Evolution45, 1169–74. Google Scholar
Wilson, D. S. and Turelli, M. (1986) Stable underdominance and the evolutionary invasion of empty niches.Am. Nat.127, 835–61. Google Scholar