Size and scaling of predator-prey dynamics

Ecology Letters

Volumn 9, Issue 5, 2006, Pages 548-557

  Weitz, Joshua S ^a   Levin, Simon A ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Allometry; Biomass; Body size; Consumer resource; Cycles; Evolutionarily stable strategy; Lotka Volterra; Metabolism; Population density; Rosenzweig MacArthur

Indexed keywords

ALLOMETRY; BIOMASS; BODY SIZE; METABOLISM; ORGANISMS BY ECOLOGICAL RELATIONSHIP; POPULATION DENSITY; PREDATOR-PREY INTERACTION; PREDICTION;

ANIMAL; ARTICLE; BIOMETRY; BODY SIZE; ENERGY METABOLISM; FORECASTING; GAME; POPULATION DENSITY; POPULATION DYNAMICS; PREDATION; THEORETICAL MODEL;

ANIMALS; BIOMETRY; BODY SIZE; ENERGY METABOLISM; FORECASTING; GAME THEORY; MODELS, THEORETICAL; POPULATION DENSITY; POPULATION DYNAMICS; PREDATORY BEHAVIOR;

EID: 33645865225     PISSN: 1461023X     EISSN: 14610248     Source Type: Journal    
DOI: 10.1111/j.1461-0248.2006.00900.x     Document Type: Article

References (51)

1. Abrams P.A. 2000 The evolution of predator-prey interactions. Annu. Rev. Ecol. Syst. 31 79 105.
2. Abrams P.A. Matsuda H. 1997 Prey adaptation as a cause of predator-prey cycles. Evolution 51 1742 1750.
3. Aljetlawi A.A. Sparrevik E. Leonardsson K. 2004 Prey-predator size-dependent functional response: derivation and rescaling to the real world. J. Anim. Ecol. 73 239 252.
4. Banavar J.R. Damuth J. Marita A. Rinaldo A. 2002a Supply-demand balance and metabolic scaling. Proc. Natl Acad. Sci. USA 99 10506 10509.
5. Banavar J.R. Damuth J. Maritan A. Rinaldo A. 2002b Modelling universality and scaling. Nature 420 626.
6. Brose U. Cushing L. Berlow E.C. Jonsson T. Banasek-Richter C. Bersier L.-F. et al. 2005 Body sizes of consumers and their resources. Ecology 86 2545
7. Brown J.H. Gillooly J.F. Allen A.P. Savage V.M. West G.B. 2004 Toward a metabolic theory of ecology. Ecology 77 1771 1789.
8. Calder W.A. 1984 Size, Function and Life History. Harvard University Press Cambridge.
9. Carbone C. Gittleman J.L. 2002 A common rule for the scaling of carnivore density. Science 295 2273 2276.
10. Cohen J.E. Jonsson T. Carpenter S.R. 2003 Ecological community description using the food web, species abundance, and body size. Proc. Natl Acad. Sci. USA 100 1781 1786.
11. Cohen J.E. Jonsson T. Müller C.B. Godfray H.C.J. Savage V.M. 2005 Body sizes of hosts and parasitoids in individual feeding relationships. Proc. Natl Acad. Sci. USA 102 684 689.
12. Cuddington K. Yodzis P. 2000 Diffusion-limited predator-prey dynamics in Euclidean environments: an allometric individual-based model. Theor. Popul. Biol. 58 259 278.
13. Cuddington K. Yodzis P. 2002 Predator-prey dynamics and movement in fractal environments. Am. Nat. 160 119 134.
14. Damuth J. 1993 Cope's rule, the island rule and the scaling of mammalian population density. Nature 365 748 750.
15. Dercole F. Irisson J. Rinaldi S. 2003 Bifurcation analysis of a prey-predator coevolution model. SIAM J. Appl. Math. 63 1378 1391.
16. De Leo G.A. Dobson A.P. 1996 Allometry and simple epidemic models for microparasites. Nature 379 720 722.
17. Dieckmann U. Doebeli M. 1999 On the origin of species by sympatric speciation. Nature 400 354 357.
18. Dieckmann U. Law R. 1996 The dynamical theory of coevolution: a derivation from stochastic ecological processes. J. Math. Biol. 34 579 612.
19. Dodds P.S. Rothman D.H. Weitz J.S. 2001 Re-examination of the ''3/4-law'' of metabolism. J. Theor. Biol. 209 9 27.
20. Doebeli M. Dieckmann U. 2000 Evolutionary branching and sympatric speciation caused by different types of ecological interactions. Am. Nat. 156 S77 S101.
21. Economo E.P. Kerkhoff A.J. Enquist B.J. 2005 Allometric growth, life-history invariants and population energetics. Ecol. Lett 8 353 360.
22. Fenchel T.P. 1988 Marine plankton food chains. Annu. Rev. Ecol. Syst. 19 19 38.
23. Geritz S.A.H. Metz J.A.J. Kisdi E. Meszéna G. 1997 The dynamics of adaptation and evolutionary branching. Phys. Rev. Lett. 78 2024 2027.
24. Gillooly J.F. Brown J.H. West G.B. Savage V.M. 2001 Effects of size and temperature on metabolic rate. Science 293 2248 2251.
25. Jetz W. Carbone C. Fulford J. Brown J.H. 2005 The scaling of animal use space. Science 306 266 268.
26. Jiang L. Schofield O. Falkowski P.G. 2005 Adaptive evolution of phytoplankton cell size. Am. Nat. 166 496 505.
27. Kleiber M. 1932 Body size and metabolism. Hilgardia 6 315 353.
28. Kozlowksi J. Konarzewski M. 2004 Is West, Brown and Enquist's model of allometric scaling mathematically correct and biologically relevant Funct. Ecol. 18 283 289.
29. Loeuille N. Loreau M. 2005 Evolutionary emergence of size-structured food webs. Proc. Natl Acad. Sci. USA 102 5761 5766.
30. Marquet P.A. Labra F.A. Maurer B.A. 2004 Metabolic ecology: linking individuals to ecosystems. Ecology 85 1794 1796.
31. Murray J. D. 1993 Mathematical Biology, 2nd edn. Springer-Verlag Berlin.
32. Niklas K.J. Owens T. Reich P.B. Cobb E.D. 2005 Nitrogen/phosphorus leaf stoichiometry and the scaling of plant growth. Ecol. Lett. 8 636 642.
33. Nowak M.A. Sigmund K. 2004 Evolutionary dynamics of biological games. Science 303 793 799.
34. Okubo A. Levin S.A. (eds) 2002 Diffusion and Ecological Problems: Modern Perspectives, 2nd edn. Springer New York, NY.
35. Peters R.H. 1983 The Ecological Implications of Body Size. Cambridge University Press Cambridge.
36. Rothschild B.J. Osborn T.R. 1988 Small-scale turbulence and plankton contact rates. J. Plankton Res. 80 465 474.
37. Savage V.M. Gillooly J.F. Brown J.H. West G.B. Charnov E.L. 2004a Effects of body size and temperature on population growth. Am. Nat. 163 E429 E441.
38. Savage V.M. Gillooly J.F. Woodruff W.H. West G.B. Allen A.P. Enquist B.J. et al. 2004b The predominance of quarter-power scaling in biology. Funct. Ecol. 18 257 282.
39. Shertzer K.W. Ellner S.P. Fussmann G.F. Hairston N.G. 2002 Predator-prey cycles in an aquatic microcosm: testing hypotheses of mechanism. J. Anim. Ecol. 71 802 815.
40. Tilman D. 1982 Resource Competition and Community Structure. Princeton University Press Princeton, NJ.
41. Tilman D. HilleRisLambers J. Harpole S. Dybzinski R. Fargione J. Clark C. et al. 2004 Does metabolic theory apply to community ecology? It's a matter of scale. Ecology 85 1797 1799.
42. Vasseur D.A. McCann K.S. 2005 A mechanistic approach for modeling temperature-dependent consumer-resource dynamics. Am. Nat. 166 184 198.
43. Vezina A.F. 1985 Empirical relationships between predator and prey size among terrestrial vertebrate predators. Oecologia 67 555 565.
44. Weibel E.R. Bacigalupe L.D. Schmitt B. Hoppeler H. 2004 Allometric scaling of maximal metabolic rate in mammals: muscle aerobic capacity as determinant factor. Respir. Physiol. Neurobiol. 140 115 132.
45. West G.B. Brown J.H. 2005 The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization. J. Exp. Biol. 208 1575 1592.
46. West G.B. Brown J.H. Enquist B.J. 1997 A general model for the origin of allometric scaling laws in biology. Science 276 122 126.
47. West G.B. Brown J.H. Enquist B.J. 1999a The fourth dimension of life: fractal geometry and allometry scaling of organisms. Science 284 1677 1679.
48. West G.B. Brown J.H. Enquist B.J. 1999b A general model for the structure and allometry of plant vascular systems. Nature 400 664 667.
49. West G.B. Brown J.H. Enquist B.J. 2001 A general model for ontogenetic growth. Nature 413 628 631.
50. 2/3. Proc. Natl Acad. Sci. USA 100 4046 4049.
51. Yodzis P. Innes S. 1992 Body size and consumer-resource dynamics. Am. Nat. 139 1151 1175.