Food web dynamics in correlated and autocorrelated environments

Theoretical Population Biology

Volumn 64, Issue 3, 2003, Pages 369-384

  Ripa, Jörgen ^a,b,c   Ives, Anthony R ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b LUND UNIVERSITY   (Sweden)

^c UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Autocorrelation; Correlation; Food web; Population dynamics; Predator prey cycle; Stochastic environment

Indexed keywords

AUTOCORRELATION; ENVIRONMENTAL CONDITIONS; FOOD WEB; POPULATION DYNAMICS; PREDATOR-PREY INTERACTION;

EID: 0348228999     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-5809(03)00089-3     Document Type: Article

References (49)

1. Abrams P. Variability in resource consumption rates and the coexistence of competing species. Theor. Popul. Biol. 25:1984;106-124.
2. Box G.E.P., Jenkins G.M. Time Series Analysis: Forecasting and Control. 1970;Holden-Day, San Francisco, USA.
3. Brown J.H., Heske E.J. Temporal changes in a Chihuahuan desert rodent community. Oikos. 59:1990;290-302.
4. Caswell H., Cohen J.E. Red, white and blue. environmental variance spectra and coexistence in metapopulations J. Theor. Biol. 176:1995;301-316.
5. Chesson P.L. The stabilizing effect of a random environment. J. Math. Biol. 15:1982;1-36.
6. Chesson P.L. Multispecies competition in variable environments. Theor. Popul. Biol. 45:1994;227-276.
7. Chesson P. General theory of competitive coexistence in spatially-varying environments. Theor. Popul. Biol. 58:2000;211-237.
8. Chesson P. Mechanisms of maintenance of species diversity. Ann. Rev. Ecol. Systematics. 31:2000;343-366.
9. Chesson P.L., Warner R.R. Environmental variability promotes coexistence in lottery competitive systems. Am. Nat. 117:1981;923-943.
10. Cronin J. Differential Equations: Introduction and Qualitative Theory. 1980;Marcel Decker, New York, USA.
11. Cuddington K.M., Yodzis P. Black noise and population persistence. Proc. Roy. Soc. London B Biol. Sci. 266:1999;969-973.
12. Dennis B., Taper B. Density dependence in time series observations of natural populations. estimation and testing Ecol. Monographs. 64:1994;205-224.
13. Griebeler E.M., Gottschalk E. The influence of temperature model assumptions on the prognosis accuracy of extinction risk. Ecol. Modelling. 134:2000;343-356.
14. Greenman J.V., Benton T.G. The amplification of environmental noise in population models. causes and consequences Am. Nat. 161:2003;225-239.
15. Halley J.M., Kunin V.E. Extinction risk and the 1/f family of noise models. Theor. Popul. Biol. 56:1998;215-230.
16. Heino M. Noise colour, synchrony and extinctions in spatially structured populations. Oikos. 83:1998;368-375.
17. Horwood J.W. A general linear theory for the variance of the yield from fish stocks. Math. Biosci. 64:1983;203-225.
18. Hughes J.B., Roughgarden J. Aggregate community properties and the strength of species' interactions. Proc. Natl. Acad. Sci. USA. 95:1998;6837-6842.
19. Ives A.R. Measuring resilience in stochastic systems. Ecol. Monographs. 65:1995;217-233.
20. Ives A.R. Predicting the response of populations to environmental change. Ecology. 76:1995;926-941.
21. Ives A.R., Jansen V.A.A. Complex dynamics in stochastic tritrophic models. Ecology. 79:1998;1039-1052.
22. Ives A.R., Carpenter S.R., Dennis B. Community interaction webs and the response of a zooplankton community to experimental manipulations of planktivory. Ecology. 80:1999;1405-1421.
23. Ives A.R., Gross K., Klug J.L. Stability and variability in competitive communities. Science. 286:1999;542-544.
24. Ives A.R., Klug J.L., Gross K. Stability and species richness in complex communities. Ecol. Lett. 3:2000;399-411.
25. Ives A.R., Dennis B., Cottingham K.L., Carpenter S.R. Estimating community stability and ecological interactions from time series data. Ecol. Monographs. 73:2003;310-330.
26. Jonzén N., Lundberg P., Ranta E., Kaitala V. The irreducible uncertainty of the demography-environment interaction in ecology. Proc. Roy. Soc. Biol. Sci. Ser. B. 269:2002;221-225.
27. Kelly C.K., Bowler M.G. Coexistence and relative abundance in forest trees. Nature. 417:2002;437-440.
28. Lehman C.L., Tilman D. Biodiversity, stability, and productivity in competitive communities. Am. Nat. 156:2000;534-552.
29. Lindström J., Kokko H., Ranta E., Lundberg P. Density dependence and the response surface methodology. Oikos. 85:1999;40-52.
30. May R.M. Stability in randomly fluctuating versus deterministic environments. Am. Nat. 107:1973;621-650.
31. Moran P.A.P. The statistical analysis of the Canadian lynx cycle II. Synchronization and meteorology. Austral. J. Zool. 1:1953;291-298.
32. Petchey O.L., Gonzalez A., Wilson H.B. Effects on population persistence. the interaction between environmental noise colour, intraspecific competition and space Proc. Roy. Soc. London B Biol. Sci. 264:1997;1841-1847.
33. Pimm S.L., Redfearn A. The variability of animal populations. Nature. 334:1988;613-614.
34. Reddingius J. Gambling for existence. a discussion of some theoretical problems in animal population ecology Acta Biotheoret. 20(Suppl.):1971;1-208.
35. Reinsel G.C. Elements of Multivariate Time Series Analysis. 2nd Edition:1997;Springer, New York, USA.
36. Ripa J. Analysing the Moran effect and dispersal. their significance and interaction in synchronous population dynamics Oikos. 89:2000;175-187.
37. Ripa J., Heino M. Linear analysis solves two puzzles in population dynamics. the route to extinction and extinction in coloured environments Ecol. Lett. 2:1999;219-222.
38. Ripa J., Lundberg P. Noise colour and the risk of population extinctions. Proc. Roy. Soc. London B Biol. Sci. 263:1996;1751-1753.
39. Ripa J., Lundberg P., Kaitala V. A general theory of environmental noise in ecological food webs. Am. Nat. 151:1998;256-263.
40. Roughgarden J. A simple model for population dynamics in stochastic environments. Am. Nat. 109:1975;713-736.
41. Roughgarden J. Population dynamics in a stochastic environment. spectral theory for the linearized N -species Lotka-Volterra competition equations Theor. Popul. Biol. 7:1975;1-12.
42. Royama T. Fundamental concepts and methodology for the analysis of animal population dynamics, with particular reference to univoltine species. Ecol. Monographs. 51:1981;473-493.
43. Royama T. Analytical Population Dynamics. 1992;Chapman & Hall, London, U.K.
44. Schaffer W.M. Ecological abstractions. the consequences of reduced dimensionality in ecological models Ecol. Monographs. 51:1981;383-401.
45. Steele J.H. A comparison of terrestrial and marine ecological systems. Nature. 313:1985;355-358.
46. Strebel D.E. Environmental fluctuations and extinction - single species. Theor. Popul. Biol. 27:1985;1-26.
47. Taylor A.D. Deterministic stability analysis can predict the dynamics of some stochastic population models. J. Ani. Ecol. 61:1992;241-248.
48. Walters C.J. A partial bias correction factor for stock-recruitment parameter estimation in presence of autocorrelated environmental effects. Canad. J. Fisheries Aquatic Sci. 47:1990;516-519.
49. Williams D.W., Liebhold A.M. Detection of delayed density dependence. effects of autocorrelation in an exogenous factor Ecology. 76:1995;1005-1008.