Plugging space into predator-prey models: An empirical approach

American Naturalist

Volumn 167, Issue 2, 2006, Pages 246-259

  Bergström, Ulf ^a,b   Englund, Göran ^a   Leonardsson, Kjell ^a  

^a UMEÅ UNIVERSITY   (Sweden)

^b INSTITUTE OF MARINE RESEARCH   (Sweden)

Author keywords

Covariance; Extrapolation; Functional response; Moment approximation; Spatial heterogeneity; Variance

Indexed keywords

BENTHOS; CRUSTACEAN; FUNCTIONAL RESPONSE; MODELING; POPULATION DYNAMICS; PREDATOR-PREY INTERACTION; STATISTICAL ANALYSIS;

AMPHIPODA; ANIMAL; BIOLOGICAL MODEL; ECOSYSTEM; EMPIRICAL RESEARCH; ENVIRONMENT; ISOPODA; PHYSIOLOGY; POPULATION DENSITY; POPULATION DYNAMICS; PREDATION; REVIEW;

AMPHIPODA; ANIMALS; ECOSYSTEM; EMPIRICAL RESEARCH; ENVIRONMENT; ISOPODA; MODELS, BIOLOGICAL; POPULATION DENSITY; POPULATION DYNAMICS; PREDATORY BEHAVIOR;

CRUSTACEA;

EID: 33144478327     PISSN: 00030147     EISSN: None     Source Type: Journal    
DOI: 10.1086/499372     Document Type: Review

References (87)

1. Aljetlawi, A. A., E. Sparrevik, and K. Leonardsson. 2004. Prey-predator size-dependent functional response: derivation and rescaling to the real world. Journal of Animal Ecology 73:239-252.
2. Andersin, A.-B., J. Lassig, L. Parkkonen, and H. Sandler. 1978. Long-term fluctuations of the soft bottom macrofauna in the deep areas of the Gulf of Bothnia 1954-1974; with special reference to Pontoporeia affinis Lindström (Amphipoda). Finnish Marine Research 244:137-144.
3. Bailey, V. A., A. J. Nicholson, and E. J. Williams. 1962. Interactions between hosts and parasites when some hosts are more difficult to find than others. Journal of Theoretical Biology 3:1-18.
4. Barlow, N. D. 2000. Non-linear transmission and simple models for bovine tuberculosis. Journal of Animal Ecology 69:703-713.
5. Bartell, S. M., W. G. Cale, R. V. O'Neill, and R. H. Gardner. 1988. Aggregation error: research objectives and relevant model structure. Ecological Modelling 41:157-168.
6. Bergström, U., and G. Englund. 2002. Estimating predation rates in experimental systems: scale-dependent effects of aggregative behaviour. Oikos 97:251-259.
7. _. 2004. Spatial scale, heterogeneity and functional responses. Journal of Animal Ecology 73:487-493.
8. Bolker, B., and S. W. Pacala. 1997. Using moment equations to understand stochastically driven spatial pattern formation in ecological systems. Theoretical Population Biology 52:179-197.
9. Bolker, B. M., S. W. Pacala, and S. A. Levin. 2000. Moment methods for ecological processes in continuous space. Pages 388-411 in U. Dieckmann, R. Law, and J. A. J. Metz, eds. The geometry of ecological interactions. Cambridge University Press, Cambridge.
10. Boulinier, T., A. R. Ives, and E. Danchin. 1996. Measuring aggregation of parasites at different host population levels. Parasitology 112: 581-587.
11. Cale, W. G. 1995. Model aggregation: ecological perspectives. Pages 230-241 in B. C. Patten and S. E. Jorgensen, eds. Complex ecology. Prentice-Hall, New York.
12. Chesson, P. 1998. Making sense of spatial models in ecology. Pages 151-166 in J. Bascompte and R. V. Solé, eds. Modeling spatiotemporal dynamics in ecology. Springer, Berlin.
13. _. 2000. General theory of competitive coexistence in spatially-varying environments. Theoretical Population Biology 58:211-237.
14. Chesson, P. L., and W. W. Murdoch. 1986. Aggregation of risk: relationships among host-parasitoid models. American Naturalist 127:696-715.
15. Cronin, J. T. 2003. Patch structure, oviposition behavior, and the distribution of parasitism risk. Ecological Monographs 73:283-300.
16. Cuddington, K. M., and P. Yodzis. 2000. Diffusion-limited predator-prey dynamics in Euclidean environments: an allometric individual-based model. Theoretical Population Biology 58:259-278.
17. de Roos, A. M., E. McCauley, and W. G. Wilson. 1998. Pattern formation and the spatial scale of interaction between predators and their prey. Theoretical Population Biology 53:108-130.
18. Dieckmann, U., R. Law, and J. A. J. Metz. 2000. The geometry of ecological interactions. Cambridge University Press, Cambridge.
19. Dobson, A. P., and P. J. Hudson. 1992. Regulation and stability of a free-living host-parasite system: Trichostrongylus tenuis in red grouse. II. Population models. Journal of Animal Ecology 61:487-498.
20. Donalson, D. D., and R. M. Nisbet. 1999. Population dynamics and spatial scale: effects of system size on population persistence. Ecology 80:2492-2507.
21. Downing, J. A. 1991. Biological heterogeneity in aquatic ecosystems. Pages 160-180 in J. Kolasa and S. T. A. Pickett, eds. Ecological heterogeneity. Springer, New York.
22. Ellner, S. P., E. McCauley, B. E. Kendall, C. J. Briggs, P. R. Hosseini, S. N. Wood, A. Janssen, et al. 2001. Habitat structure and population persistence in an experimental community. Nature 412: 538-543.
23. Englund, G., and S. D. Cooper. 2003. Scale effects and extrapolation in ecological experiments. Advances in Ecological Research 33: 161-213.
24. Englund, G., and P. Hambäck. 2004a. Scale dependence of emigration rates. Ecology 85:320-327.
25. _. 2004b. Scale dependence of movement rates in stream invertebrates. Oikos 105:31-40.
26. Gause, G. F. 1934. The struggle for existence. Williams & Wilkins, Baltimore.
27. Goldwasser, L., J. Cook, and E. D. Silverman. 1994. The effects of variability of metapopulation dynamics and rates of invasion. Ecology 75:40-47.
28. Green, J. 1957. The feeding mechanism of Mesidothea entomon (Linn.) (Crustacea: isopoda). Proceedings of the Zoological Society of London 129:245-254.
29. Haahtela, I. 1990. What do Baltic studies tell us about the isopod Saduria entomon (L.)? Annales Zoologici Fennici 27:269-278.
30. Hanski, I. 1987. Cross-correlation in population dynamics and the slope of spatial variance: mean regressions. Oikos 50:148-151.
31. Hassell, M. P. 1980. Foraging strategies, population models, and biological control: a case study. Journal of Animal Ecology 49:603-628.
32. Hassell, M. P., R. M. May, S. W. Pacala, and P. L. Chesson. 1991. The persistence of host-parasitoid associations in patchy environments. I. A general criterion. American Naturalist 138:568-583.
33. Holt, R. D., and M. Barfield. 2003. Impacts of temporal variation on apparent competition and coexistence in open ecosystems. Oikos 101:49-58.
34. Holyoak, M., and S. P. Lawler. 1996. Persistence of an extinction-prone predator-prey interaction through metapopulation dynamics. Ecology 77:1867-1879.
35. Horne, J. K., and D. C. Schneider. 1997. Spatial variance of mobile aquatic organisms: capelin and cod in Newfoundland coastal waters. Philosophical Transactions of the Royal Society of London B 352:633-642.
36. Hosseini, P. R. 2003. How localized consumption stabilizes predator-prey systems with finite frequency of mixing. American Naturalist 161:567-585.
37. Huffaker, C. B. 1958. Experimental studies on predation: dispersion factors and predator-prey oscillations. Hilgardia 27:343-383.
38. Huffaker, C. B., K. P. Shea, and S. G. Herman. 1963. Experimental studies on predation: complex dispersion and levels of food in an acarine predator-prey interaction. Hilgardia 34:305-330.
39. Jones, T. H., M. P. Hassell, and S. W. Pacala. 1993. Spatial heterogeneity and the population dynamics of a host-parasitoid system. Journal of Animal Ecology 62:251-262,
40. Keeling, M. J., H. B. Wilson, and S. W. Pacala. 2000. Reinterpreting space, time lags, and functional responses in ecological models. Science 290:1758-1761.
41. _. 2002. Deterministic limits to stochastic spatial models of natural enemies. American Naturalist 159:57-80.
42. Kemp, W. M., J. E. Petersen, and R. H. Gardner. 2001. Scale dependence and the problem of extrapolation: implications for experimental and natural coastal ecosystems. Pages 3-47 in R. H. Gardner, W. M. Kemp, and J. E. Petersen, eds. Scaling relations in experimental ecology. Columbia University Press, New York.
43. King, A. W. 1992. Translating models across scales in the landscape. Pages 479-514 in C. G. Jones and J. H. Lawton, eds. Linking species and ecosystems. Chapman & Hall, New York.
44. Leonardsson, K. 1986. Growth and reproduction of Mesidotea entomon (Isopoda) in the northern Bothnian Sea. Holarctic Ecology 9:240-244.
45. _. 1991a. Effects of cannibalism and alternative prey on population dynamics of Saduria entomon (Isopoda). Ecology 72:1273-1285.
46. _. 1991b. Spatial size variation in adult females of Saduria entomon (Crustacea, Isopoda): a comparison between field observations and predictions of a life-history model. Ophelia 34:91-104.
47. Leonardsson, K., A. Laine, and A.-B. Andersin. 2002. Macrozoobenthos. Pages 69-73 in Baltic Marine Environment Protection Commission. Fourth periodic assessment of the state of the marine environment of the Baltic Sea area, 1994-1998. Helsinki Commission, Helsinki.
48. Levin, S. A. 1992. The problem of pattern and scale in ecology. Ecology 73:1943-1967.
49. Liljesthröm, G., and J. Rabinovich. 2004. Modeling biological control: the population regulation of Nezara viridula by Trichopoda giacomellii. Ecological Applications 14:254-267.
50. Lopez, G., and R. Elmgren. 1989. Feeding depths and organic absorption for the deposit-feeding benthic amphipods Pontoporeia affinis and Pontoporeia femorata. Limnology and Oceanography 34:982-991.
51. Luckinbill, L. S. 1974. The effects of space and enrichment on a predator-prey system. Ecology 55:1142-1147.
52. Matsuda, H., N. Ogita, A. Sasaki, and K. Sato. 1992. Statistical mechanics of population: the lattice Lotka-Volterra model. Progress of Theoretical Physics 88:1035-1049.
53. May, R. M. 1978. Host-parasitoid models in a patchy environment: a phenomenological model. Journal of Animal Ecology 47:833-844.
54. Melbourne, B. A. 2000. Scaling up population dynamics: spatial variance and the scale transition for stream biofilm and grazers. PhD diss. Australian National University, Canberra.
55. Melbourne, B. A., and P. Chesson. 2005. Scaling up population dynamics: integrating theory and data. Oecologia (Berlin) 145:178-186.
56. Melbourne, B. A., A. L. Sears, M. J. Donahue, and P. Chesson. 2005. Applying scale transition theory to metacommunities in the field. Pages 306-330 in M. Holyoak, M. A. Leibold, and R. D. Holt, eds. Metacommunities: spatial dynamics and ecological communities. University of Chicago Press, Chicago.
57. Murdoch, W. W., and A. Stewart-Oaten. 1989. Aggregation by parasitoids and predators: effects on equilibrium and stability. American Naturalist 134:288-310.
58. Murdoch, W. W., C. J. Briggs, and R. M. Nisbet. 2003. Consumer-resource dynamics. Princeton University Press, Princeton, NJ.
59. Nisbet, R. M., A. M. de Roos, W. G. Wilson, and R. E. Snyder. 1998. Discrete consumers, small scale resource heterogeneity, and population stability. Ecology Letters 1:34-37.
60. O'Driscoll, R. L., D. C. Schneider, G. A. Rose, and G. R. Lilly. 2000. Potential contact statistics for measuring scale-dependent spatial pattern and association: an example of northern cod (Gadus morhua) and capelin (Mallotus villosus). Canadian Journal of Fisheries and Aquatic Sciences 57:1355-1368.
61. O'Neill, R. V. 1979. Transmutations across hierarchical levels. Pages 58-78 in G. S. Innis and R. V. O'Neill, eds. Systems analysis of ecosystems. International Cooperative, Fairland, MD.
62. Pacala, S. W., and M. P. Hassell. 1991. The persistence of host-parasitoid associations in patchy environments. II. Evaluation of field data. American Naturalist 138:584-605.
63. Pacala, S. W., and D. Tilman. 1994. Limiting similarity in mechanistic and spatial models of plant competition in heterogeneous environments. American Naturalist 143:222-257.
64. Pascual, M., P. Mazzega, and S. A. Levin. 2001. Oscillatory dynamics and spatial scale: the role of noise and unresolved pattern. Ecology 82:2357-2369.
65. Pascual, M., M. Roy, and A. Franc. 2002. Simple temporal models for ecological systems with complex spatial patterns. Ecology Letters 5:412-419.
66. 2 > 1 using hierarchical generalized linear models. Proceedings of the Royal Society of London B 267:2043-2048.
67. Rastetter, E. B., A. W. King, B. J. Cosby, G. M. Hornberger, R. V. O'Neill, and J. E. Hobbie. 1992. Aggregating fine-scale ecological knowledge to model coarser-scale attributes of ecosystems. Ecological Applications 2:55-70.
68. Roland, J., and P. D. Taylor. 1997. Insect parasitoid species respond to forest structure at different spatial scales. Nature 386:710-713.
69. Ruel, J. J., and M. P. Ayres. 1999. Jensen's inequality predicts effects of environmental variation. Trends in Ecology & Evolution 14: 361-366.
70. Ruxton, G. D., and W. S. C. Gurney. 1994. Deriving the functional response without assuming homogeneity. American Naturalist 144: 537-541.
71. Schneider, D. C. 1992. Thinning and clearing of prey by predators. American Naturalist 139:148-160.
72. _. 2001. The rise of the concept of scale in ecology. BioScience 51:545-553.
73. Schneider, D. C., and D. C. Duffy. 1985. Scale-dependent variability in seabird abundance. Marine Ecology Progress Series 25:211-218.
74. Schneider, D. C., and J. F. Piatt. 1986. Scale-dependent correlation of seabirds with schooling fish in a coastal ecosystem. Marine Ecology Progress Series 32:237-246.
75. Schneider, D. C., J. M. Gagnon, and K. D. Gilkinson. 1987. Patchiness of epibenthic megafauna on the outer Grand Banks of Newfoundland. Marine Ecology Progress Series 39:1-13.
76. Sokal, R. R., and F. J. Rohlf. 1995. Biometry. W. H. Freeman, New York.
77. Sparrevik, E., and K. Leonardsson. 1995. Effects of large Saduria entomon (Isopoda) on spatial distribution of their small S. entomon and Monoporeia affinis (Amphipoda) prey. Oecologia (Berlin) 101: 177-184.
78. _. 1998. Recruitment in the predacious isopod Saduria entomon (L.): alternative prey reduces cannibalism. Journal of Experimental Marine Biology and Ecology 221:1117-1130.
79. _. 1999. Direct and indirect effects of predation by Saduria entomon (Isopoda) on the size-structure of Monoporeia affinis (Amphipoda). Oecologia (Berlin) 120:77-86.
80. Taylor, L. R., I. P. Woiwod, and J. N. Perry. 1980. Variance and large scale spatial stability of aphids, moths and birds. Journal of Animal Ecology 49:831-854.
81. Tilman, D., and P. Kareiva. 1997. Spatial ecology: the role of space in population dynamics and interspecific interactions. Princeton University Press, Princeton, NJ.
82. Tobin, P. C., and O. N. Bjørnstad. 2003. Spatial dynamics and cross-correlation in a transient predator-prey system. Journal of Animal Ecology 72:460-467.
83. Underwood, A. J. 1997. Experiments in ecology: their logical design and interpretation using analysis of variance. Cambridge University Press, Cambridge.
84. Van Veen, F. J. F., C. B. Muller, I. C. T. Adriaanse, and H. C. J. Godfray. 2002. Spatial heterogeneity in risk of secondary parasitism in a natural population of an aphid parasitoid. Journal of Animal Ecology 71:463-469.
85. Wiens, J. A. 1989. Spatial scaling in ecology. Functional Ecology 3: 385-397.
86. Wilson, W. G., and L. D. Harder. 2003. Reproductive uncertainty and the relative competitiveness of simultaneous hermaphroditism versus dioecy. American Naturalist 162:220-241.
87. Yodzis, P. 1989. Introduction to theoretical ecology. Harper & Row, New York.