Dispersal-induced instabilities in host-parasitoid metapopulations

Theoretical Population Biology

Volumn 55, Issue 1, 1999, Pages 23-36

  Rohani, Pejman ^a,b   Ruxton, Graeme D ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF UTAH   (United States)

^c UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSAL; HOST-PARASITOID INTERACTION; INSTABILITY; METAPOPULATION; POPULATION MODELING;

EID: 0033080455     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1998.1389     Document Type: Article

References (58)

1. Adler F. R. Migration alone can produce persistence of host-parasitoid models. Am. Nat. 141:1993;624-650.
2. Allen J. C. Mathematical models species interactions in time and space. Am. Nat. 109:1975;319-342.
3. Allen J. C. Are natural enemy populations chaotic? Estimation and Analysis and Insect Populations. 1989;Springer-Verlag, Berlin. p. 190-205.
4. Bailey V. A., Nicholson A. J., Williams E. J. Interaction between hosts and parasites when some hosts are more difficult to find than others. J. Theor. Biol. 3:1962;1-18.
5. Bascompte J., Solé R. V. Spatially induced bifurcations in single-species population dynamics. J. Animal Ecol. 63:1994;256-265.
6. Beddington J. R., Free C. A., Lawton J. H. Dynamic complexity in predator-prey models framed in discrete-time. Nature. 255:1975;58-60.
7. Beddington J. R., Free C. A., Lawton J. H. Characteristics of successful natural enemies in models of biological control of insect pests. Nature. 273:1978;513-519.
8. Begon M., Sait S. M., Thompson D. J. Persistence of a host-parasitoid system - Refuges and generation cycles. Proc. Roy. Soc. London Ser. B. 260:1995;131-137.
9. 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.
10. Chesson P. L., Murdoch W. W. Aggregation of risk: Relationships among host-parasitoid models. Am. Nat. 127:1986;696-715.
11. Comins H. N., Hassell M. P., May R. M. The spatial dynamics of spatial host-parasitoid systems. J. Animal Ecol. 61:1992;735-748.
12. Crutchfield J. P., Kaneko K. Phenomenology of spatio-temporal chaos. Bai-Lin H. Directions in chaos. 1987;273-353 World Scientific, Singapore.
13. deRoos A. M., Sabelis M. W. Why does space matter - In a spatial world it is hard to see the wood for the trees. Oikos. 74:1995;347-348.
14. Getz W. M., Mills N. J. Host-parasitoid coexistence and egg-limited encounter rates. Am. Nat. 148:1996;333-347.
15. Hanski I. Coexistence of competitors in patchy environment. Ecology. 64:1983;493-500.
16. Hanski I., Gilpin M. Metapopulation dynamics - Brief history and conceptual domain. Biol. J. Linnean Soc. 42:1991;3-16.
17. Hanski I., Zhang D. Y. Migration, metapopulation dynamics and fugitive co-existence. J. Theor. Biol. 163:1993;491-504.
18. Hassell M. P. The Dynamics of Arthropod Predator-Prey Systems. 1978;Princeton Univ. Press, Princeton.
19. Hassell M. P. Patterns of parasitism by insect parasitoids in patchy environments. Ecol. Entomol. 7:1982;365-377.
20. Hassell M. P., May R. M. Stability in insect host-parasite models. J. Animal Ecol. 42:1973;693-726.
21. Hassell M. P., May R. M. Aggregation in predators and insect parasites and its effect on stability. J. Animal Ecol. 43:1974;567-594.
22. Hassell M., Varley G. C. New inductive population model for insect parasites and its bearing on biological control. Nature. 223:1969;1133-1136.
23. Hassell M. P., Comins H. N., May R. M. Spatial structure and chaos in insect population dynamics. Nature. 353:1991;255-258.
24. Hassell M. P., Comins H. N., May R. M. Series coexistence and self-organising spatial dynamics. Nature. 370:1994;290-292.
25. Hassell M. P., Miramontes O., Rohani P., May R. M. Appropriate formulations for dispersal in spatially structured models: Comments on Bascompte and Solé J. Animal Ecol. 64:1995;662-664.
26. Hastings A. Age-dependent dispersal is not a simple process: Density dependence, stability, and chaos. Theor. Popul. Biol. 41:1992;388-400.
27. Holt R. D., Hassell M. P. Environmental heterogeneity and the stability of host parasitoid interactions. J. Animal Ecol. 62:1993;89-100.
28. Huffaker C. B. Experimental studies on predation: Dispersion factors and predator-prey oscillations. Hilgardia. 27:1958;343-383.
29. Ives A. R. Density-dependent and density-independent parasitoid aggregation in model host-parasitoid systems. Am. Nat. 140:1992;912-937.
30. Kareiva P. Population dynamics in spatially complex environments - Theory and data. Philos. Trans. Roy. Soc. London Ser. B. 330:1990;175-190.
31. Kareiva P., Wennergren U. Connecting landscape patterns to ecosystem and population processes. Nature. 373:1995;299-302.
32. Kenward R. Hawks and doves: Attack success and selection in goshawk flights at wood pigeons. J. Animal Ecol. 47:1978;449-460.
33. Lessells C. M. Parasitoid foraging: Should parasitism be density dependent? J. Animal Ecol. 54:1985;27-41.
34. May R. M. Host-parasitoid systems in patchy environments: A phenomenological model. J. Animal Ecol. 47:1978;833-843.
35. Morrison G., Strong D. R. Jr. Spatial variation in egg density and the intensity of parasitism in a neotropic chrysomelid (Cephaloleia consanguinea. Ecol. Entomol. 6:1981;55-61.
36. Murray J. D. Mathematical Biology. 1989;Springer-Verlag, Berlin.
37. Neubert M. G., Kot M., Lewis M. A. Dispersal and pattern formation in a discrete-time predator-prey model. Theor. Popul. Biol. 48:1995;7-43.
38. Nicholson A. J., Bailey V. A. The balance of animal populations, I. Proc. Zool. Soc. London. 1935;551-598.
39. Okubo A. Diffusion and Ecological Problems: Mathematical Models. 1980;Springer-Verlag, Berlin.
40. Pacala S., Hassell M. P., May R. M. Host-parasitoid associations in patchy environments. Nature. 344:1990;150-153.
41. Pascual M. Diffusion-induced chaos in a spatial predator-prey system. Proc. Roy. Soc. London Ser. B. 251:1993;1-7.
42. Raffa K. F., Berryman A. A. Interacting selective pressures in confer-bark beetle systems: A basis for reciprocal adaptations? Am. Nat. 129:1987;234-262.
43. Ramstock-Volkl M. Host refuges and spatial patterns of parasitism in an endophytic host-parasitoid system. Ecol. Entomol. 15:1990;321-331.
44. Reeve J. D. Environmental variability, migration, and persistence in host-parasitoid models. Am. Nat. 132:1988;810-836.
45. Rohani P., Miramontes O. Host-parasitoid metapopulations: The consequences of parasitoid aggregation on spatial dynamics and searching efficiency. Proc. Roy. Soc. London Ser. B. 260:1995a;335-342.
46. Rohani P., Miramontes O. Immigration and the persistence of chaos in population models. Theor. Biol. 175:1995b;203-206.
47. Rohani P., Godfray H. C. J., Hassell M. P. Aggregation and the dynamics of host-parasitoid systems: A discrete generation model with within-generation redistribution. Am. Nat. 144:1994a;491-509.
48. Rohani P., Miramontes O., Hassell M. P. Quasiperiodicity and chaos in population models. Proc. Roy. Soc. London Ser. B. 258:1994b;17-22.
49. Rohani P., May R. M., Hassell M. P. Metapopulations and equilibrium stability: The effects of spatial structure. J. Theor. Biol. 181:1996;97-109.
50. Rohani P., Lewis T. J., Grunbaum D., Ruxton G. D. Spatial self-organization in ecology: Pretty patterns or robust reality? Trends Ecol. Evol. 12:1997;70-74.
51. Ruxton G. D. Dispersal and chaos in spatially structured models - An individual-level approach. J. Animal Ecol. 65:1996;161-169.
52. 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. 236:1996;625-631.
53. 2. Trends Ecol. Evol. 8:1993;400-405.
54. Tilman D. Competition and biodiversity in spatially structured habitats. Ecology. 75:1994;2-16.
55. Turchin P., Kareiva P. Aggregation inAphis varians. Ecology. 70:1989;1008-1016.
56. Varley G. C., Gradwell G. R. The interpretation of insect population changes. Proc. Ceylon Assoc. Adv. Sci. 18:1963;142-156.
57. Vastano J. A., Russo T., Swinney H. L. Bifurcation to spatially induced chaos in a reaction-diffusion system. Physica D. 16:1990;285-317.
58. Way M., Cammell M. Aggregation behaviour in relation to food utilisation in aphids. Watson A. Animal Populations in Relation to Their Food Resources. 1970;229-247 Blackwells, England.