Pattern formation and the spatial scale of interaction between predators and their prey

Theoretical Population Biology

Volumn 53, Issue 2, 1998, Pages 108-130

  De Roos, André M ^a   McCauley, Edward ^b   Wilson, William G ^c  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF CALGARY   (Canada)

^c DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONAL RESPONSE; POPULATION DYNAMICS; PREDATOR-PREY INTERACTION;

EID: 0031694959     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1997.1345     Document Type: Article

References (29)

1. Addicott, J. F., Aho, J. M., Antolin, M. F., Padilla, D. K., Richardson, J. S., and Soluk, D. A. 1987. Ecological neighborhoods: Scaling environmental patterns, Oikos 49, 340-346.
2. Comins, H. N., Hassell, M. P., and May, R. M. 1992. The spatial dynamics of host-parasitoid systems, J. Anim. Ecol. 61, 735-748.
3. de Roos, A. M., Metz, J. A. J., Evers, E., and Leipoldt, A. 1990. A size dependent predator-prey interaction: Who pursues whom? J. Math. Biol. 28, 609-643.
4. de Roos, A. M., McCauley, E., and Wilson, W. G. 1991. Mobility versus density-limited predator-prey dynamics on different spatial scales, Proc. R. Soc. Lond. B 246, 117-122.
5. Hanski, I., Hansson, L., and Henttonen, H. 1991. Specialist predators, generalist predators, and the microtine rodent cycle, J. Anim. Ecol. 60, 353-367.
6. Hassell, M. P., Comins, H. N., and May, R. M. 1991. Spatial structure and chaos in insect population dynamics, Nature (Lond.) 353, 255-258.
7. Ims, R. A., and Steen, H. 1990. Geographical synchrony in microtine population cycles: A theoretical evaluation of the role of nomadic avian predators, Oikos 57, 381-387.
8. Jansen, V. A. A. 1994. "On the Bifurcation Structure of Two Diffusively Coupled, Predator-Prey Systems," Ph.D thesis, Leiden University.
9. Jansen, V. A. A. 1995. Regulation of predator-prey systems through spatial interactions: A possible solution of the paradox of enrichment, Oikos 74, 384-390.
10. Khibnik, A. I., Kuznetsov, Y. A., Levitin, V. V., and Nikolaev, E. V. 1993. Continuation techniques and interactive software for bifurcation analysis of odes and iterated maps, Physica D 62, 360-371.
11. Korpimäki, E., and Norrdahl, K. 1991. Numerical and functional responses of kestrels, short-eared owls, and long-eared owls to vole densities, Ecology 72 (3), 814-826.
12. Levin, S. A. 1992. The problem of pattern and scale in ecology, Ecology 73 (6), 1943-1967.
13. McCauley, E., Wilson, W. G., and de Roos, A. M. 1993. Dynamics of age-structured and spatially structured predator-prey interactions - individual-based models and population-level formulations, Am. Nat. 142 (3), 412-442.
14. McCauley, E., Wilson, W. G., and de Roos, A. M. 1996. Dynamics of age-structured predator-prey populations in space: Asymmetrical effects of mobility in juvenile and adult predators, Oikos 76, 485-497.
15. McLaughlin, J. F., and Roughgarden, J. 1992. Predation across spatial scales in heterogeneous environments, Theor. Pop. Biol. 41, 277-299.
16. Murray, J. D. 1989. "Mathematical Biology," Springer-Verlag, Heidelberg.
17. Nisbet, R. M., Briggs, C. J., Gurney, W. S. C., Murdoch, W. W., and Stewart-Oaten, A. 1993. Two-patch metapopulation dynamics, in "Patch Dynamics in Terrestrial, Freshwater and Marine Ecosystems" (S. A. Levin, J. H. Steele, and, T. Powell, Eds.), Springer-Verlag, Heidelberg.
18. O'Neill, R. V. 1989. Perspectives in hierarchy and scale, in "Perspectives in Ecological Theory" (J. Roughgarden, R. M. May, and, S. A. Levin, Eds.), pp. 140-156, Princeton University Press, Princeton, NJ.
19. Rand, D. A., Keeling, M., and Wilson, H. B. 1995. Invasion, stability and evolution to criticality in spatially extended, artificial host-pathogen ecologies, Proc. R. Soc. Lond. B 259, 55-63.
20. Rand, D. A. 1994. Measuring and characterizing spatial patterns, dynamics and chaos in spatially extended dynamical systems and ecologies, Phil. Trans. R. Soc. Lond. A 348, 497-514.
21. Ranta, E., Lindström, J., and Lindén, H. 1995. Synchrony in tetraonid population dynamics, J. Anim. Ecol. 64, 767-776.
22. Rohani, P., May, R. M., and Hassell, M. P. 1996. Metapopulations and equilibrium stability: The effects of spatial structure, J. Theor. Biol. 181, 97-109.
23. Rohani, P., Lewis, T. J., Gruenbaum, D., and Ruxton, G. D. 1997. Spatial self-organization in ecology: Pretty patterns or robust reality? Trends in Ecology & Evolution 12, 70-73.
24. Rosenzweig, M. L. 1971. Paradox of enrichment: Destabilization of exploitation ecosystems in ecological time, Science (Wash., D.C.) 171, 385-387.
25. Segel, L. A., and Jackson, J. L. 1972. Dissipative structure: An explanation and an ecological example, J. Theor. Biol. 37, 545-559.
26. Segel, L. A., and Levin, S. A. 1976. Applications of nonlinear stability theory to the study of the effects of diffusion on predator-prey interactions, in "Selected Topics in Statistical Mechanics and Biophysics" (R. Piccirelli, Ed.), pp. 123-152, Am. Inst. of Physics, New York.
27. Turing, A. M. 1952. The chemical basis of morphogenesis, Phil. Trans. R. Soc. Lond. B 237, 37-72.
28. Wilson, W. G., de Roos, A. M., and McCauley, E. 1993. Spatial instabilities within the diffusive Lotka-Volterra system - individual-based simulation results, Theor. Pop. Biol. 43, 91-127.
29. Wilson, W. G., McCauley, E., and de Roos, A. M. 1995. Effect of dimensionality on Lotka-Volterra predator-prey dynamics: Individual-based simulation results, Bull. Math. Biol. 57, 507-526.