Competition and Evolutionary Stability of Plants in a Spatially Structured Habitat

Researches on Population Ecology

Volumn 39, Issue 1, 1997, Pages 67-75

  Takenaka, Yasuto ^a,b   Matsuda, Hiroyuki ^a,b   Iwasa, Yoh ^a  

^a KYUSHU UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Coexistence; Evolutionary stable strategy; Invasion condition; Lattice model; Pair approximation; Spatial structure

Indexed keywords

EVOLUTIONARY STABILITY; INTRASPECIFIC COMPETITION; POPULATION MODEL; SPATIAL STRUCTURE;

EID: 0345812037     PISSN: 00345466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02765251     Document Type: Article

References (28)

1. Atkinson, W. D. and B. Shorrocks (1981) Competition on a divided ephemeral resource-simulation model. Journal of Animal Ecology 50: 461-471.
2. Caswell, H. and R. J. Etter (1992) Ecological interactions in patchy environments: from patch-occupancy models to cellular automata. pp. 93-109. In S. A. Levin, T. M. Powell and J. H. Steele (eds.) Patch dynamics. Springer-Verlag, New York.
3. Chao, L. and B. R. Levin (1981) Structured habitats and the evolution of anticompetitor toxins in bacteria. Proceeding of National Academy of Science the USA 78: 6324-6328.
4. Chesson, P. (1991) A need for niches. Trends in Ecology and Evolution 6: 26-28.
5. Crawley, M. J. and R. M. May (1987) Population dynamics and plant community structure: competition between annuals and perennials. Journal of theoretical Biology 125: 475-489.
6. Durrett, R. and S. A. Levin (1994) Importance of being discrete (and spatial). Theoretical Population Biology 46: 363-394.
7. Durrett, R. and S. A. Levin (1997) Allelopathy in spatially distributed populations. Journal of theoretical Biology (in press)
8. Green, R. F. (1984) Does aggregation prevent competitive exclusion-a response. American Naturalist 128: 301-304.
9. Harada, Y. and Y. Iwasa (1994) Lattice population dynamics for plants with dispersing seeds and vegetative propagation. Researches on Population Ecology 36: 237-249.
10. Harada, Y. and Y. Iwasa (1996) Analyses of spatial patterns and population processes of clonal plants. Researches on Population Ecology 38: 153-164.
11. Harada, Y., H. Ezoe, Y. Iwasa, H. Matsuda and K. Sato (1995) Population persistence and spatially limited social interaction. Theoretical Population Biology 48: 65-91.
12. Hassell, M. P., H. N. Comins, and R. M. May (1991) Spatial structure and chaos in insect population dynamics. Nature 353: 255- 258.
13. Iwasa, Y., K. Sato, and S. Nakashima (1991) Dynamic modelling of wave regeneration (Shimagare) in subalpine Abies forest. Journal of theoretical Biology 152: 143-158.
14. Iwasa, Y., M. Nakamaru, and S. A. Levin (1997) Allelopathy of bacteria in a lattice population: competition between colicin- sensitive and colicin-producing strains. Evolutionary Ecology (in press)
15. Kohyama, T. (1993) Size-structured tree populations in gap-dynamic forest-the forest architecture hypothesis for the stable coexistence of species. Journal of Ecology 81: 131-143.
16. Kubo, T., Y. Iwasa and N. Furumoto (1996) Forest spatial dynamics with gap expansion: total gap area and gap size distribution. Journal of theoretical Biology 180: 229-246.
17. Kunin, W. (1993) Sex and the single mustard: population density and pollinator behavior effects on seed-set. Ecology 74: 2145-2160.
18. Kunin, W. and Y. Iwasa (1996) Pollinator foraging strategies in mixed floral arrays: density effects and floral constancy. Theoretical Population Biology 49: 232-263.
19. Matsuda, H. (1987) Conditions for the evolution of altruism. pp. 67-80. In Y. Ito, J. L. Brown and J. Kikkawa (eds.) Animal societies: theories and facts. Japan Scientific Societies Press, Tokyo.
20. Matsuda, H., N. Tamachi, N. Ogita and A. Sasaki (1987) A lattice model for population biology, pp. 154-161. In E. Teramoto and M. Yamaguti (eds.) Mathematical topics in biology: Lecture Notes in Biomathematics Vol. 71. Springer-Verlag, New York.
21. Matsuda, H., N. Ogita, A. Sasaki and K. Sato (1992) Statistical machanics of population - The lattice Lotka-Volterra model. Progress of Theoretical Physics 88: 1035-1049.
22. Nakamaru, M., H. Matsuda and Y. Iwasa (1997) The evolution of cooperation in the lattice-structured population. Journal of theoretical Biology 184: 65-81.
23. de Roos, A. M., E. McCauley and W. G. Wilson (1991) Mobility versus density-limited predator-prey dynamics of different spatial scales. Proceedings of Royal Society, London B 246: 117-122.
24. Pacala, S. W. and A. Silander Jr, (1985) Neighborhood models of plant population dynamics. 1. single-species models of annuals. American Naturalist 125: 385-411.
25. Pacala, S.W., C. D. Canham, J. Saponara, J. A. Silander, R. K. Kobe and E. Ribbens (1996) Models denned by field-measurements-estimation, error analysis and dynamics. Ecological Monographs 66: 1-43.
26. Roughgarden, J. (1979) Theory of population genetics and evolutionary ecology: an introduction. MacMillan, New York.
27. Sato, K. and Y. Iwasa (1993) Modeling of wave regeneration (shimagare) in subalpine Abies forests: population dynamics with spatial structure. Ecology 74: 1538-1550.
28. Sato, K., H. Matsuda and A. Sasaki (1994) Pathogen invasion and host extincition in lattice structured populations. Journal of Mathematical Biology 32: 251-268.