Spatial dynamics and cross-correlation in a transient predator-prey system

Journal of Animal Ecology

Volumn 72, Issue 3, 2003, Pages 460-467

  Tobin, Patrick C ^a,b   Bjørnstad, Ottar N ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b USDA ARS   (United States)

Author keywords

Coupled map lattice; Interspecific covariance; Nonparametric spatial covariance function; Predator prey interactions; Spatiotemporal dynamics

Indexed keywords

BEETLE; INTERSPECIFIC INTERACTION; PREDATOR-PREY INTERACTION; SPATIOTEMPORAL ANALYSIS;

CARCINOPS PUMILIO; COLEOPTERA; MUSCA DOMESTICA;

EID: 0037656148     PISSN: 00218790     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2656.2003.00715.x     Document Type: Article

References (42)

1. Alstad, D.N. & Andow, D.A. (1995) Managing the evolution of insect resistance to transgenic plants. Science, 268, 1394-1396.
2. Bascompte, J. & Solé, R.V. (1995) Rethinking complexity modeling spatiotemporal dynamics in ecology. Trends in Ecology and Evolution, 10, 361-366.
3. Bjørnstad, O.N. (2000) Cycles and synchrony, two historical 'experiments' and one experience. Journal of Animal Ecology, 69, 869-873.
4. Bjørnstad, O.N. & Bascompte, J. (2001) Synchrony and second order spatial correlation in host-parasitoid systems. Journal of Animal Ecology, 70, 924-933.
5. Bjørnstad, O.N. & Falck, W. (2001) Nonparametric spatial covariance functions, estimating and testing. Environmental and Ecological Statistics, 8, 53-70.
6. Bjørnstad, O.N., Ims, R.A. & Lambin, X. (1999) Spatial population dynamics: Causes and consequences of spatial synchrony in density fluctuations. Trends in Ecology and Evolution, 14, 427-431.
7. Bjørnstad, O.N., Peltonen, M., Liebhold, A.M. & Baltensweiler, W. (2002) Waves of larch budmoth outbreaks in the European Alps. Science, 298, 1020-1023.
8. Efron, B. & Tibshirani, R.J. (1993) An Introduction to the Bootstrap. Chapman & Hall, London.
9. Elton, C. (1924) Fluctuations in the numbers of animals, their causes and effects. British Journal of Experimental Biology, 2, 119-163.
10. Fletcher, M.G., Axtell, R.C. & Stinner, R.E. (1990) Longevity and fecundity of Musca domestica (Diptera, Muscidae) as a function of temperature. Journal of Medical Entomology, 27, 922-926.
11. Flexner, J.L., Lighthart, B. & Croft, B.A. (1986) The effects of microbial pesticides on non-target, beneficial arthropods. Agriculture, Ecosystems and Environment, 16, 203-254.
12. Geden, C.J. & Axtell, R.C. (1988) Predation by Carcinops pumilio (Coleoptera, Histeridae) and Macrocheles muscae-domesticae (Acarina, Macrochelidae) on the house fly (Diptera, Muscidae), functional response, effect of temperature, and availability of alternative prey. Environmental Entomology, 17, 739-744.
13. Geden, C.J., Stoffolano, J.G. Jr & Elkinton, J.E. (1987) Prey-mediated dispersal behavior of Carcinops pumilio (Coleoptera: Histeridae). Environmental Entomology, 16, 415-419.
14. Grenfell, B.T., Bjørnstad, O.N & Kappey, J. (2001) Travelling waves and spatial hierarchies in measles epidemics. Nature, 414, 716-723.
15. Hall, P. & Patil, P. (1994) Properties of nonparametric estimation of autocovariance for stationary random fields. Probability Theory and Related Fields, 99, 399-424.
16. Härdle, W. (1990) Applied Nonparametric Regression. Cambridge University Press, Cambridge.
17. Hassell, M.P., Comins, H.N. & May, R.M. (1991) Spatial structure and chaos in insect population dynamics. Nature, 353, 255-258.
18. Hastings, A. (2001) Transient dynamics and persistence of ecological systems. Ecology Letters, 4, 215-220.
19. Hastings, A. & Higgins, K. (1994) Persistence of transients in spatially structured ecological models. Science, 263, 1133-1136.
20. Ims, R.A. & Andreassen, H.P. (2000) Spatial synchronization of vole population dynamics by predatory birds. Nature, 408, 194-196.
21. Ims, R.A. & Steen, H. (1990) Geographical synchrony in microtine population cycles: a theoretical evaluation of the role of nomadic avian predators. Oikos, 57, 381-387.
22. Keeling, M.J., Wilson, H.B. & Pacala, S.W. (2000) Reinterpreting space, time lags, and functional responses in ecological models. Science, 290, 1758-1761.
23. Lysyk, T.J. & Axtell, R.C. (1987) A simulation model of house fly (Diptera: Muscidae) development in poultry manure. Canadian Entomologist, 119, 427-437.
24. Maron, J.L. & Harrison, S. (1997) Spatial pattern formation in an insect host-parasitoid system. Science, 278, 1619-1621.
25. Mathsoft. Inc (2000) S-Plus. 2000 Programmer's Guide, Data Analysis Products Division, Seattle.
26. May, R.M. (1974) Biological populations with nonoverlapping generations, stable points, stable cycles, and chaos. Science, 186, 645-647.
27. Morgan, P.B., Patterson, R.S. & Weidhas, D.E. (1983) A life-history study of Carcinops pumilio Erichson (Coleoptera, Histeridae). Journal of Georgia Entomological Society, 18, 350-353.
28. Murray, J.D. (1993) Mathematical Biology, 2nd edn. Springer, New York.
29. Paradis, E., Baillie, S.R., Sutherland, W.J. & Gregory, R.D. (2000) Spatial synchrony in populations of birds, effects of habitat, population trend, and spatial scale. Ecology, 81, 2112-2125.
30. Peltonen, M., Liebhold, A.M., Bjørnstad, O.N. & Williams, D.W. (2002) Variation in spatial synchrony among forest insect species: roles of regional stochasticity and dispersal. Ecology, 83, 3120-3129.
31. Ranta, E., Kaitala, V., Lindström, J. & Helle, E. (1997) The Moran effect and synchrony in population dynamics. Oikos, 78, 136-142.
32. Rohani, P., Earn, D.J.D. & Grenfell, B.T. (1999) Opposite patterns of synchrony in sympatric disease metapopulations. Science, 286, 968-971.
33. Royama, T. (1992) Analytical Population Dynamics. Chapman & Hall, New York.
34. Ruxton, G.D. (1994) Low levels of immigration between chaotic populations can reduce system extinctions by inducing asynchronous regular cycles. Proceedings of the Royal Society London B, 256, 189-193.
35. Stafford, K.C. III & Bay, D.E. (1994) Dispersion statistics and sample size estimates for house fly (Diptera: Muscidae) larvae and Macrocheles muscaedomesticae (Acari: Macrochelidae) in poultry manure. Journal of Medical Entomology, 31, 732-737.
36. Sutcliffe, O.L., Thomas, C.D. & Moss, D. (1996) Spatial synchrony and asynchrony in butterfly population dynamics. Journal of Animal Ecology, 65, 85-95.
37. Tobin, P.C. (1997) Spatio-temporal dynamics of the house fly, Musca domestica L. (Diptera, Muscidae), and the predator Carcinops pumilio (Erichson) (Coleoptera, Histeridae) in high-rise poultry facilities. MS Thesis, The Pennsylvania State University.
38. Tobin, P.C. (2002) Spatial phenology modeling of selected populations of herbivores, and spatiotemporal patterns in a predator-prey system. PhD Thesis, The Pennsylvania State University.
39. Tobin, P.C., Fleischer, S.J. & Pitts, C.W. (1999) Spatio-temporal dynamics of resident and immigrating populations of Carcinops pumilio (Erichson) (Coleoptera, Histeridae) in high-rise poultry facilities. Journal of Medical Entomology, 36, 568-577.
40. Wilson, W.G., Harrison, S.P., Hastings, A. & McCann, K. (1999) Exploring stable pattern formation in models of tussock moth populations. Journal of Animal Ecology, 68, 94-107.
41. Wilson, H.B. & Hassell, M.P. (1997) Host-parasitoid spatial models: the interplay of demographic stochasticity and dynamics. Proceedings of Royal Society London B, 264, 1189-1195.
42. Winder, L., Alexander, C.J., Holland, J.M., Woolley, C. & Perry, J.N. (2001) Modelling the dynamic spatio-temporal response of predators to transient prey patches in the field. Ecology Letters, 4, 568-576.