Evolution of condition-dependent dispersal under kin competition

Journal of Mathematical Biology

Volumn 57, Issue 2, 2008, Pages 285-307

  Gyllenberg, Mats ^a   Kisdi, Éva ^a   Utz, Margarete ^a  

^a UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Adaptive dynamics; Condition dependent dispersal; ESS; Evolution; Function valued trait; Kin competition; Spatially structured population

Indexed keywords

ANIMAL; ANIMAL BEHAVIOR; ARTICLE; BIOLOGICAL MODEL; COMPETITIVE BEHAVIOR; POPULATION DYNAMICS; POPULATION MIGRATION;

ANIMAL MIGRATION; ANIMALS; BEHAVIOR, ANIMAL; COMPETITIVE BEHAVIOR; MODELS, BIOLOGICAL; POPULATION DYNAMICS;

EID: 43949127097     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0158-2     Document Type: Article

References (41)

1. Anholt B.R. (1990). Size-biased dispersal prior to breeding in a damselfly. Oecologia 83: 385-387
2. Balkau B.J. and Feldman M.W. (1973). Selection for migration modification. Genetics 74: 171-174
3. Benard, M.F., McCauley, S.J.: Integrating across life-history stages: consequences of natal habitat effects on dispersal. Am. Nat. (in press)
4. Bengtsson B.O. (1978). Avoiding inbreeding: at what cost?. J. Theor. Biol. 73(3): 439-444
5. Berg H. (2000). Differential seed dispersal in Oxalis acetosella, a cleistogamous perennial herb. Acta Oecologica 21(2): 109-118
6. Bulmer M. (1994). Theoretical Evolutionary Ecology. Sinauer Associates, Sunderland
7. Chesson P.L. and Warner R.R. (1981). Environmental variability promotes coexistence in lottery competitive systems. Am. Nat. 138: 37-50
8. Comins H.N., Hamilton W.D. and May R.M. (1980). Evolutionarily stable dispersal strategies. J. Theor. Biol. 82: 205-230
9. Ezoe H. and Iwasa Y. (1997). Evolution of condition-dependent dispersal: A genetic-algorithm search for the ESS reaction norm. Res. Popul. Ecol. 39(2): 127-137
10. Feller W. (1950). An Introduction to Probability Theory and its Applications. Wiley, London
11. Fretwell S.D. (1972). Populations in a seasonal environment. Princeton University Press, Princeton, New Jersey
12. Gandon S. and Michalakis Y. (1999). Evolutionarily stable dispersal rate in a metapopulation with extinctions and kin competition. J. Theor. Biol. 199: 275-290
13. Geritz S.A.H. (1995). Evolutionarily stable seed polymorphism and small-scale spatial variation in seedling density. Am. Nat. 146: 685-707
14. Geritz S.A.H., Kisdi E., Meszena G. and Metz J.A.J. (1998). Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol. 12: 35-57
15. Geritz S.A.H., van der Meijden E. and Metz J.A.J. (1999). Evolutionary dynamics of seed size and seedling competitive ability. Theor. Popul. Biol. 55: 324-343
16. Gyllenberg M., Hemminki J. and Tammaru T. (1999). Allee effects can both conserve and create spatial heterogeneity in population densities. Theor. Popul. Biol. 56: 231-242
17. Gyllenberg M. and Metz J.A.J. (2001). On fitness in structured metapopulations. J. Math. Biol. 43: 545-560
18. Gyllenberg M. and Parvinen K. (2001). Necessary and sufficient conditions for evolutionary suicide. Bull. Math. Biol. 63: 981-993
19. Gyllenberg M., Parvinen K. and Dieckmann U. (2002). Evolutionary suicide and evolution of dispersal in structured metapopuations. J. Math. Biol. 45(2): 79-105
20. Hamilton W.D. and May R.M. (1977). Dispersal in stable habitats. Nature (London) 269: 578-581
21. Hanski I., Peltonen A. and Kaski L. (1991). Natal dispersal and social dominance in the common shrew Sorex araneus. Oikos 62(1): 48-58
22. Holt R.D. and McPeek M. (1996). Chaotic population dynamics favors the evolution of dispersal. Am. Nat. 148(4): 709-718
23. Jagers P. (1975). Branching Processes with Biological Applications. Wiley, London
24. Kisdi E. (2004). Conditional dispersal under kin-competition: extension of the Hamilton-May model to brood size-dependent dispersal. Theor. Popul. Biol. 66: 369-380
25. Kisdi E. (2002). Dispersal: Risk spreading versus local adaptation. Am. Nat. 159(6): 579-596
26. Le Galliard J.-F., Ferrière R. and Clobert J. (2005). Effect of patch occupancy on immigration in the common lizard. J. Anim. Ecol. 74: 241-249
27. Levin S.A., Cohen D. and Hastings A. (1984). Dispersal strategies in patchy environments. Theor. Popul. Biol. 26: 165-191
28. Meszéna G., Czibula I. and Geritz S. (1997). Adaptive dynamics in a 2-patch environment: A toy model for allopatric and parapatric speciation. J. Biol. Syst. 5(2): 265-284
29. Metz J.A.J., de Jong T.J. and Klinkhammer P.G.L. (1983). What are the advantages of dispersing; a paper by Kuno explained and extended. Oecologia (Berlin) 57: 166-169
30. Metz, J.A.J., Geritz, S.A.H., Meszéna, G., Jacobs, F.J.A., van Heerwaarden, J.S.: Adaptive dynamics, a geometrical study of the consequences of nearly faithful reproduction. In: van Strien, S. J., Verduyn Lunel, S.M. (eds.) Stochastic and spatial structures of dynamical systems, pp. 183-231. North Holland, Amsterdam (1996)
31. Metz J.A.J. and Gyllenberg M. (2001). How should we define fitness in structured metapopulation models? Including an application to the calculation of evolutionarily stable dispersal strategies. Proc. R. Soc. Lond. B268: 499-508
32. Olivieri I., Michalakis Y. and Gouyon P.-H. (1995). Metapopulation genetics and the evolution of dispersal. Am. Nat. 146(2): 202-228
33. Parvinen K., Dieckmann U. and Heino M. (2006). Function-valued dynamics and the calculus of variations. J. Math. Biol. 52: 1-26
34. Pasinelli G. and Walters J.R. (2002). Social and environmental factors affect natal dispersal and philopatry of male red-cockaded woodpeckers. Ecology 83(8): 2229-2239
35. Perrin N. and Mazalov V. (2000). Local competition, inbreeding and the evolution of sex-biased dispersal. Am. Nat. 155: 116-127
36. Ronce O., Clobert J. and Massot M. (1998). Natal dispersal and senescence. Proc. Natl Acad. Sci. USA 95: 600-605
37. Rousset F. and Billiard S. (2000). A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal. J. Evol. Biol. 13: 814-825
38. Taylor P.D. (1988). An inclusive fitness model for dispersal of offspring. J. Theor. Biol. 130: 363-378
39. van der Jeugd H.-P. (2001). Large barnacle goose males can overcome the social costs of natal dispersal. Behav. Ecol. 12(3): 275-282
40. Wahlström L.K. and Liberg O. (1995). Patterns of dispersal and seasonal migration in roe deer Capreolus capreolus. J. Zool. 235(3): 455-467
41. Wiener P. and Tuljapurkar S. (1994). Migration in variable environments: Exploring life-history evolution using structured population models. J. Theor. Biol. 166: 75-90