On the determination of evolutionary outcomes directly from the population dynamics of the resident

Journal of Mathematical Biology

Volumn 62, Issue 6, 2011, Pages 901-924

  Bowers, Roger G ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Adaptive dynamics; Evolution; Fitness; Population dynamics; Trade off

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; ECOSYSTEM; EVOLUTION; POPULATION DYNAMICS;

ANIMALS; BIOLOGICAL EVOLUTION; ECOSYSTEM; MODELS, BIOLOGICAL; POPULATION DYNAMICS;

EID: 79956071104     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-010-0356-6     Document Type: Article

References (24)

1. Boots M, Haraguchi Y (1999) The evolution of costly resistance in host-parasite systems. Am Nat 153: 359-370.
2. Bowers RG, Hodgkinson DE (2001) Community dynamics, trade-offs, invasion criteria and the evolution of host resistance to microparasites. J Theor Biol 212: 315-331.
3. Bowers RG, White A, Boots M, Geritz SAH, Kisdi E. (2003) Evolutionary branching/speciation: contrasting results from systems with explicit or emergent carrying capacities. Evol Ecol Res 5: 883-891.
4. Bowers RG, Hoyle A, White A, Boots M. (2005) The geometric theory of adaptive evolution: trade-off and invasion plots. J Theor Biol 233: 363-377.
5. De Mazancourt C, Dieckmann U (2004) Trade-off geometries and frequency-dependent selection. Am Nat 164: 765-778.
6. Doebeli M, Dieckmann U (2000) Evolutionary branching and sympatric speciation caused by different types of ecological interactions. Am Nat 156: 77-101.
7. Eshel I (1983) Evolutionary and continuous stability. J Theor Biol 103: 99-111.
8. Geritz SAH, Kisdi E, Meszena G, Metz JAJ (1998) Evolutionary singular strategies and the adaptive growth and branching of the evolutionary tree. J Evol Ecol 12: 35-57.
9. Geritz SA, Kisdi E, Yan P (2007) Evolutionary branching and long-term coexistence of cycling predators: critical function analysis. Theor Popul Biol 71: 424-435.
10. Gyllenberg M, Service R (2010) Necessary and sufficient conditions for the existence of an optimisation principle in evolution. J Math Biol (in press).
11. Holling CS (1959) The components of predation as revealed by a study of small-mammal predation of the European pine sawfly. Can Entomol 91: 293-320.
12. Hoyle A, Bowers RG (2007) When is evolutionary branching in predator-prey systems possible with an explicit carrying capacity. Math Biosci 210: 1-16.
13. Hoyle A, Bowers RG (2008) Can possible evolutionary outcomes be determined directly from the population dynamics? Theor Popul Biol 74: 311-323.
14. Hoyle A, Bowers RG, White A, Boots M (2008) The influence of trade-off shape on evolutionary behaviour in classical ecological scenarios. J Theor Biol 259: 498-511.
15. Kisdi E, Liu S (2006) Evolution of handling time can destroy the coexistence of cycling predators. J Evol Ecol 19: 49-58.
16. Levins R (1962) Theory of fitness in a heterogeneous environment. 1. The fitness set and the adaptive function. Am Nat 96: 361-373.
17. Maynard Smith J, Price GR (1973) The logic of animal conflict. Nature 246: 15-18.
18. Metz JAJ, Nisbet RM, Geritz SAH (1992) How should we define 'fitness' for general ecological scenarios? Trends Ecol Evol 7: 198-202.
19. Metz JAJ, Geritz SAH, Meszena G, Jacobs FJA, van Heerwaarden JS (1996a) Adaptive dynamics: a geometric study of the consequences of nearly faithful reproduction. In: van Strien SJ, Verduyn Lunel SM (eds) Stochastic and spatial structures of dynamical systems. Elsevier, North-Holland, pp 183-231.
20. Metz JAJ, Mylius SD, Diekmann O (1996b) When does evolution optimise? On the relation between types of density dependence and evolutionarily stable life history parameters. IIASA working paper WP-96-004. http://www. iiasa. ac. at/Research/ADN/Series. html.
21. Metz JAJ, Mylius SD, Diekmann O (2008) When does evolution optimize? Evol Ecol Res 10: 629-654.
22. Roff DA (2002) Life history evolution. Sinauer, Sunderland.
23. Rueffler C, van Dooren TJ, Metz JAJ (2004) Adaptive walks on changing landscapes: Levin's approach. Theor Popul Biol 65: 165-178.
24. Stearns SC (1992) The evolution of life histories. Oxford University Press, Oxford.