The evolution of juvenile-adult interactions in populations structured in age and space

Theoretical Population Biology

Volumn 76, Issue 2, 2009, Pages 132-145

  Lion, Sébastien ^a   van Baalen, Minus ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Age structure; Invasion fitness; Moment closure; Moment equations; Pair approximation; Spatial structure

Indexed keywords

ADULT; AGE CLASS; AGE STRUCTURE; CANNIBALISM; EQUATION; EVOLUTION; JUVENILE; PARENTAL CARE; POPULATION STRUCTURE; QUANTITATIVE ANALYSIS; SURVIVAL;

ANIMAL; ARTICLE; CANNIBALISM; ECOLOGY; LIFE CYCLE; POPULATION DYNAMICS; THEORETICAL MODEL;

ANIMALS; CANNIBALISM; ECOLOGY; LIFE CYCLE STAGES; MODELS, THEORETICAL; POPULATION DYNAMICS;

EID: 67651172778     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2009.05.005     Document Type: Article

References (66)

1. Boerlijst M.C., Lamers M.E., and Hogeweg P. Evolutionary consequences of spiral waves in a Host-Parasitoid system. Proceedings of the Royal Society of London B 253 (1993) 15-18
2. Bolker B., and Pacala S.W. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theoretical Population Biology 52 (1997) 179-197
3. Boots M., and Sasaki A. 'Small worlds' and the evolution of virulence: Infection occurs locally and at a distance. Proceedings of the Royal Society of London B 266 (1999) 1933-1938
4. Caswell H. Matrix Population Models: Construction, Analysis, and Interpretation (2001), Sinauer Associates, Sunderland, Mass
5. de Mazancourt C., and Dieckmann U. Trade-off geometries and frequency-dependent selection. American Naturalist 164 (2004) 765-778
6. de Roos A.M., McCauley E., and Wilson W.G. Pattern formation and the spatial scale of interaction between predators and their prey. Theoretical Population Biology 53 2 (1998) 108-130
7. Dieckmann U., and Law R. Relaxation projections and the method of moments. In: Dieckmann U., Law R., and Metz J.A.J. (Eds). Geometry of Ecological Interactions: Simplifying Spatial Complexity (2000), Cambridge University Press 412-455
8. Dieckmann U., Law R., and Metz J.A.J.(Eds.). Geometry of Ecological Interactions: Simplifying Spatial Complexity (2000), Cambridge University Press
9. Doebeli M., and Hauert C. Models of cooperation based on the prisoner's dilemma and the snowdrift game. Ecology Letters 8 (2005) 748-766
10. Durrett R., and Levin S.A. Stochastic spatial models - a user's guide to ecological applications. Philosophical Transactions of the Royal Society B 343 1305 (1994) 329-350
11. Durrett R., and Levin S.A. The importance of being discrete (and spatial). Theoretical Population Biology 46 (1994) 363-394
12. Eshel I. Evolutionary and continuous stability. Journal of Theoretical Biology 103 (1983) 99-111
13. Fife P. Mathematical aspects of reacting-diffusing systems. Lecture Notes on Biomathematics vol. 28 (1979), Springer
14. Ferrière R., and Le Galliard J.F. Invasion fitness and adaptive dynamics in spatial population models. In: Clobert J., Dhondt A., Danchin E., and Nichols J. (Eds). Dispersal (2001), Oxford University Press 57-79
15. Le Galliard J.-F., Ferrière R., and Dieckmann U. The adaptive dynamics of altruism in spatially heterogeneous populations. Evolution 57 1 (2003) 1-17
16. Le Galliard J.-F., Ferrière R., and Dieckmann U. Adaptive evolution of social traits: Origin, trajectories, and correlations of altruism and mobility. American Naturalist 165 2 (2005) 206-224
17. Genkai-Kato M., and Yamamura N. Evolution of mutualistic symbiosis without vertical transmission. Theoretical Population Biology 55 3 (1999) 309-323
18. Geritz S.A.H., Kisdi É., Meszéna G., and Metz J.A.J. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evolutionary ecology 12 (1998) 35-57
19. In: Hanski I., and Gilpin M.E. (Eds). Metapopulation Biology: Ecology, Genetics and Evolution (1997), Academic Press
20. Harada Y., Ezoe H., Iwasa Y., Matsuda H., and Sato K. Population persistence and spatially limited social interaction. Theoretical Population Biology 48 (1995) 65-91
21. Hassell M., Comins H.N., and May R.M. Spatial structure and chaos in insect population dynamics. Nature 6341 255-258 (1991)
22. Hassell M., Comins H.N., and May R.M. Species coexistence and self-organizing spatial dynamics. Nature 370 6487 (1994) 290-292
23. Hauert C. Spatial effects in social dilemmas. Journal of Theoretical Biology 240 4 (2006) 627-636
24. Hogeweg P. Simplicity and complexity in mirror universes. Biosystems 23 (1989) 231-246
25. Iwasa Y., Nakamaru M., and Levin S.A. Allelopathy of bacteria in a lattice population: Competition between colicin-sensitive and colicin-producing strains. Evolutionary Ecology 12 (1998) 785-802
26. Kamo M., Sasaki A., and Boots M. The role of trade-off shapes in the evolution of parasites in spatial host populations: An approximate analytical approach. Journal of Theoretical Biology 244 (2007) 588-596
27. Kauffman S.A. The Origins of Order (1993), Oxford University Press, New-York
28. Keeling M.J. The effects of local spatial structure on epidemiological invasions. Proceedings of the Royal Society London B 266 (1999) 859-867
29. Keeling M.J. The implications of network structure for epidemic dynamics. Theoretical Population Biology 67 (2005) 1-8
30. Keeling M.J., and Rand D.A. A spatial mechanism for the evolution and maintenance of sexual reproduction. Oikos 74 (1995) 414-424
31. Kisdi É. Trade-off geometries and the adaptive dynamics of two co-evolving species. Evolutionary Ecology Research 8 (2006) 959-973
32. Law R., Murrell D.J., and Dieckmann U. Population growth in space and time: Spatial logistic equations. Ecology 84 1 (2003) 252-262
33. Lion, S., Relatedness in spatially structured populations with empty sites: An approach based on spatial moment equations, Journal of theoretical Biology (in press)
34. Lion S., and Gandon S. Habitat saturation and the spatial evolutionary ecology of altruism. Journal of Evolutionary Biology 22 (2009) 1487-1502
35. Lion S., and van Baalen M. From infanticide to parental care: Why spatial structure can help adults be good parents. American Naturalist 170 2 (2007) E26-E46
36. Lion S., and van Baalen M. Self-structuring in spatial evolutionary ecology. Ecology Letters 11 3 (2008) 277-295
37. Mágori K., Szabó P., Mizera F., and Meszéna G. Adaptive dynamics on a lattice: Role of spatiality in competition, co-existence and evolutionary branching. Evolutionary Ecology Research 7 (2005) 1-21
38. Malécot G. Heterozygosity and relationship in regularly subdivided populations. Theoretical Population Biology 8 (1975) 212-241
39. Matsuda H., Ogita N., Sasaki A., and Sato K. Statistical-mechanics of population - the lattice Lotka-Volterra model. Progress in Theoretical Physics 88 (1992) 1035-1049
40. Maynard Smith J. Evolution and the Theory of Games (1982), Cambridge University Press
41. Metz J.A.J., Geritz S.A.H., Meszéna G., Jacobs F.J.A., and van Heerwaarden J.S. Adaptive dynamics: A geometrical study of the consequences of nearly faithful reproduction. In: van Strien S.J., and Verduyn-Lunel S.M. (Eds). Stochastic and Spatial Structures of Dynamical Systems (1996), Elsevier, North-Holland 183-231
42. Metz J.A.J., and Gyllenberg M. How should we define fitness in structured metapopulation models? Including an application to the calculation of evolutionarily stable dispersal strategies. Proceedings of the Royal Society of London B 268 (2001) 499-508
43. Metz J.A.J., Nisbet R.M., and Geritz S.A.H. How should we define fitness for general ecological scenarios. Trends in Ecology Evolution 7 (1992) 198-202
44. Morris, A.J., 1997. Representing spatial interactions in simple ecological models. Ph.D. Thesis. University of Warwick
45. Murrell D.J., Dieckmann U., and Law R. On moment closures for population dynamics in continuous space. Journal of Theoretical Biology 229 3 (2004) 421-432
46. Neubert M.G., and Caswell H. Demography and dispersal: Calculation and sensitivity analysis of invasion speed for structured populations. Ecology 81 6 (2000) 1613-1628
47. Nowak M.A. Five rules for the evolution of cooperation. Science 314 (2006) 1560-1563
48. Ovaskainen O., and Cornell S.J. Asymptotically exact analysis of stochastic metapopulation dynamics with explicit spatial structure. Theoretical Population Biology 69 1 (2006) 13-33
49. Petermann T., and De Los Rios P. Cluster approximations for epidemic processes: A systematic description of correlations beyond the pair level. Journal of Theoretical Biology 229 (2004) 1-11
50. Proulx S.R., and Day T. What can invasion analyses tell us about evolution under stochasticity in finite populations?. Selection 2 1 2 (2001) 1-15
51. Rand D.A. Correlation equations and pair approximation for spatial ecologies. In: McGlade J. (Ed). Advanced Ecological Theory (1999), Oxford: Blackwell 100-142
52. Rand D.A., Keeling M., and Wilson H.B. Invasion, stability and evolution to criticality in spatially extended, artificial host-pathogen ecologies. Proceedings of the Royal Society of London B 259 (1995) 55-63
53. Read J.M., and Keeling M.J. Disease evolution on networks: The role of contact structure. Proceedings of the Royal Society of London B 270 (2002) 699-798
54. Real L.A., and McElhany P. Spatial pattern and process in plant-pathogen interactions. Ecology 77 4 (1996) 1011-1025
55. Rousset F. Genetic Structure and Selection in Subdivided Populations (2004), Princeton University Press
56. Rousset F. Separation of time scales, fixation probabilities and convergence to evolutionarily stable states under isolation by distance. Theoretical Population Biology 69 2 (2006) 165-179
57. Sato K., Matsuda H., and Sasaki A. Pathogen invasion and host extinction in lattice structured populations. Journal of Mathematical Biology 32 (1994) 251-268
58. Skellam J. Random dispersal in theoretical populations. Biometrika 38 (1951) 196-218
59. Stollenwerk N. Criticality in epidemics: The mathematics of sandpiles explains uncertainty in epidemic outbreaks. In: Baeza-Yates R., Glaz J., Gzyl H., Huesler J., and Palacios J.L. (Eds). Recent Advances in Applied Probability (2005), Kluwer Academic Publishers, Boston, MA 455-494
60. Szabó G., and Fáth G. Evolutionary games on graphs. Physics Reports 446 (2007) 97-216
61. In: Tilman D., and Kareiva P. (Eds). Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions (1997), Princeton University Press
62. van Baalen M. Pair approximation for different spatial geometries. In: Dieckmann U., Law R., and Metz J.A.J. (Eds). The Geometry of Ecological Interactions: Simplifying Spatial Complexity (2000), Cambridge University Press 359-387
63. van Baalen M. Contact networks and the evolution of virulence. In: Dieckmann U., Metz J.A.J., Sabelis M.W., and Sigmund K. (Eds). Adaptive Dynamics of Infectious Diseases. In Pursuit of Virulence Management (2002), Cambridge University Press 85-103
64. van Baalen M., and Rand D.A. The unit of selection in viscous populations and the evolution of altruism. Journal of Theoretical Biology 193 (1998) 631-648
65. van Ballegooijen W.M., and Boerlijst M.C. Emergent trade-offs and selection for outbreak frequency in spatial epidemics. Proceedings of the National Academy of Sciences 101 (2004) 18246-18250
66. Wilson W.G. Resolving discrepancies between deterministic population models and individual-based simulations. American Naturalist 151 (1998) 116-134