Competition and dispersal in predator-prey waves

Theoretical Population Biology

Volumn 56, Issue 3, 1999, Pages 243-263

  Savill, Nicholas J ^a   Hogeweg, Paulien ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Individual oriented models; Oscillations; Spatial pattern formation; Spiral waves; Turbulence

Indexed keywords

COMPETITION; DISPERSAL; POPULATION MODELING; PREDATOR-PREY INTERACTION;

ANIMALIA;

EID: 0033383624     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1999.1431     Document Type: Article

References (41)

1. Bascompte J., Solé R. V. Habitat fragmentation and extinction thresholds in spatially explict models. J. Anim. Ecol. 65:1996;465-473.
2. Boerlijst M. C., Hogeweg P. Self-structuring and selection: Spiral waves as a substrate for evolution. Langton C. G. Artificial Life II. 1991a;255-276 Addison-Wesley, Redwood City.
3. Boerlijst M. C., Hogeweg P. Spiral wave structure in pre-biotic evolution: Hypercycles stable against parasites. Physica D. 48:1991b;17-28.
4. Boerlijst M. C., Lamers M. E., Hogeweg P. Evolutionary consequences of spiral waves in a host-parasitoid system. Proc. Roy. Soc. London Ser. B. 253:1993;15-18.
5. Comins H. N., Hassell M. P. Persistence of multispecies host-parasitoid interactions in spatially distributed models with local dispersal. J. Theor. Biol. 183:1996;19-28.
6. Comins H. N., Hassell M. P., May R. M. The spatial dynamics of host-parasitoid systems. J. Anim. Ecol. 61:1992;735-748.
7. Cross M. C., Hohenberg P. C. Pattern formation outside of equilibrium. Rev. Mod. Phys. 65:1993;851-1112.
8. Cruywagen G. C., Kareiva P., Lewis M. A., Murray J. D. Competition in a spatially heterogeneous environment: Modelling the risk of spread of a genetically engineered population. Theor. Popul. Biol. 49:1996;1-38.
9. Durrett R., Levin S. The importance of being discrete (and spatial). Theor. Popul. Biol. 46:1994;363-394.
10. Fredga K., Fredriksson R., Bondrup-Nielson S., Ims R. A. Sex ratio, chromosomes and isozymes in natural populations of wood lemming (Myopus schisticolor). Stenseth N. C., Ims R. A. The Biology of Lemmings. 1993;465-491 Academic Press, London.
11. Gustafson E. J., Gardner R. H. The effect of landscape hetergeneity on the probability of patch colonization. Bull. Math. Biol. 57:1995;507-526.
12. Hamilton W. D., May R. M. Dispersal in stable habitats. Nature. 269:1977;578-581.
13. Hassell M. P., Comins H. N., May R. M. Spatial structure and chaos in insect population dynamics. Nature. 353:1991;255-258.
14. Hogeweg P. MIRROR beyond MIRROR, puddles of LIFE. Langton C. G. Artificial Life. 1988;297-316 Addison-Wesley, Redwood City.
15. Hogeweg P. Multilevel evolution: Replicators and the evolution of diversity. Physica D. 75:1994;275-291.
16. Holmes E. E., Lewis M. A., Banks J. E., Veit R. R. Partial differential equations in ecology: Spatial interactions and population dynamics. Ecology. 75:1994;17-29.
17. Johnson M. L., Gaines M. S. Evolution of dispersal: Theoretical models and empircal tests using birds and mammals. Annu. Rev. Ecol. Syst. 21:1990;449-480.
18. Johst K., Brandl B. Evolution of dispersal: The importance of the temporal order of reproduction and dispersal. Proc. Roy. Soc. London Ser. B. 264:1997;23-30.
19. Lambin X., Elston D. A., Petty S. J., MacKinnon J. L. Spatial asynchrony and periodic travelling waves in cyclic populations of field voles. Proc. Roy. Soc. London Ser. B. 265:1998;1491-1496.
20. Levin S. A., Cohen D., Hastings A. Dispersal in patchy environments. Theor. Popul. Biol. 26:1984;165-191.
21. McCauley E., Wilson W. G., de Roos A. M. Dynamics of age-structured predator-prey populations in space: Asymmetrical effects of mobility in juvenile and adult predators. OIKOS. 76:1996;485-497.
22. McPeek M. A., Holt R. D. The evolution of dispersal in spatially and temporally varying environments. Am. Nat. 140:1992;1010-1027.
23. Moss, R, Elston, D. A, and, Watson, A. 1999, Spatial asynchrony and demographic travelling waves during red grouse population cycles, submitted for publication.
24. Nicholson A. J., Bailey V. A. The balance of animal populations, I. Proc. Zool. Soc. London. 3:1935;551-598.
25. Ranta E., Kaitala V. Travelling waves in vole population dynamics. Nature. 390:1997;456.
26. Ranta E., Kaitala V., Lindströ J. Dynamics of Canadian lynx populations in space and time. Ecography. 20:1997a;454-460.
27. Ranta E., Lindströ J., Kaitala V., Kokko H., Lindén H., Elle E. Solar activity and hare dynamics - A cross-continental comparison. Am. Nat. 149:1997b;765-775.
28. Roland J., Taylor P. D. Insect parasitoid species respond to forest structure at different spatial scales. Nature. 386:1997;710-713.
29. Ruxton G. D. Dispersal and chaos in spatially structured models: An individual-level approach. J. Anim. Ecol. 65:1996;161-169.
30. Ruxton G. D., Rohani P. The consequences of stochasticity for self-organized spatial dynamics, persistence and coexistence in spatially extended host-parasitoid communities. Proc. Roy. Soc. London Ser. B. 263:1996;625-631.
31. Savill N. J., Hogeweg P. Evolutionary stagnation due to pattern-pattern interactions in a co-evolutionary predator-prey model. Artificial Life. 3:1997;81-100.
32. Savill N. J., Hogeweg P. Spatially induced speciation prevents extinction: The evolution of dispersal distance in oscillatory predator-prey models. Proc. Roy. Soc. London Ser. B. 265:1998;25-32.
33. Savill N. J., Rohani P., Hogeweg P. Self-reinforcing spatial patterns enslave evolution in a host-parasitoid system. J. Theor. Biol. 188:1997;11-20.
34. Sherratt J. A., Eagan B. T., Lewis M. A. Oscillations and chaos behind predator-prey invasion: Mathematical artifact or ecological reality. Phil. Trans. Roy. Soc. London Ser. B. 352:1997;21-38.
35. Solé R. V., Valls J. On structural stability and chaos in biological systems. J. Theor. Biol. 155:1992;87-102.
36. Solé R. V., Bascompte J., Valls J. Stability and complexity of spatially extended two-species competition. J. Theor. Biol. 159:1992;469-480.
37. Turing A. M. The chemical basis for morphogenesis. Phil. Trans. Roy. Soc. London. 237:1952;37-72.
38. van der Laan J. D., Hogeweg P. Predator-prey coevolution: Interactions across differenent time scales. Proc. Roy. Soc. London Ser. B. 259:1995;35-42.
39. Varley G. C., Gradwell G. R. The interpretation of insect population changes. Proc. Ceylon. Ass. Advmt. Sci. 18:1963;142-156.
40. Vilar J. M. G., Solé R. V. Effects of noise in symmetric two-species competition. Phys. Rev. Lett. 80:1998;4099-4102.
41. Wright S. Isolation by distance. Genetics. 28:1943;139-156.