Correlative coherence analysis: Variation from intrinsic and extrinsic sources in competing populations

Theoretical Population Biology

Volumn 64, Issue 1, 2003, Pages 89-99

  Getz, Wayne M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Chaos; Correlation matrix; Density dependence; Eigenvalues; Entropy; Shannon Weaver information; Time series

Indexed keywords

COMPETITION (ECOLOGY); DENSITY DEPENDENCE; STATISTICAL ANALYSIS;

ANALYSIS OF VARIANCE; ANIMAL; ARTICLE; COMPETITIVE BEHAVIOR; POPULATION DYNAMICS; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS;

ANALYSIS OF VARIANCE; ANIMALS; COMPETITIVE BEHAVIOR; DATA INTERPRETATION, STATISTICAL; LINEAR MODELS; POPULATION DYNAMICS; STOCHASTIC PROCESSES;

EID: 0141939642     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-5809(03)00026-1     Document Type: Article

References (33)

1. Beddington J.R. Mutual interference between parasites or predators and its effect on searching efficiency. J. Anim. Ecol. 44:1975;331-340.
2. Bendat J.S., Piersol A.G. Measurement and Analysis of Random Data. 1966;Wiley, New York.
3. Bjornstad O.N., Grenfell B.T. Noisy clockwork. time series analysis of population fluctuations in animals Science. 293:2001;638-643.
4. Bjornstad O.N., Sait S.M., Steven M., Stenseth N.C., Thompson D.J., Begon M. The impact of specialized enemies on the dimensionality of host dynamics. Nature. 409:2001;1001-1006.
5. Cencini M., Falcioni M., Olbrich E., Kantz H., Vulpiani A. Chaos or noise. difficulties of a distinction Phys. Rev. E. 62:2000;427-437.
6. Cohen J.E. Unexpected dominance of high frequencies in chaotic nonlinear population models. Nature. 378:1995;610-612.
7. Cushing J.M., Dennis B., Desharnais R.A., Costantino R.F. Moving toward an unstable equilibrium. saddle nodes in population systems J. Anim. Ecol. 67:1998;298-306.
8. Davies P.I., Higham N.J. Numerically stable generation of correlation matrices and their factors. BIT. 40:2000;640-651.
9. DeAngelis D.L., Goldstein R.A., O'Neill R.V. A model for trophic interaction. Ecology. 56:1975;881-892.
10. Dennis B., Desharnais R.A., Cushing J.M., Henson S.M., Costantino R.F. Estimating chaos and complex dynamics in an insect population. Ecol. Monogr. 71:2001;277-303.
11. Feigenbaum M.J. The metric universal properties of period doubling bifurcations and the spectrum for a route to turbulence. Ann. N. Y. Acad. Sci. 357:1980;330-336.
12. Getz W.M. Population dynamics. a per capita resource approach J. Theor. Biol. 108:1984;623-644.
13. Getz W.M. A unified approach to multispecies modeling. Nat. Resour. Modeling. 5:1991;393-421.
14. Getz W.M. Metaphysiological and evolutionary dynamics of populations exploiting constant and interactive resources. r-K selection revisited Evol. Ecol. 7:1993;287-305.
15. Getz W.M. A metaphysiological approach to modeling ecological populations and communities. Levin S.A. Frontiers in Mathematical Biology. 1994;411-442 Springer, New York.
16. Getz W.M. A hypothesis regarding the abruptness of density dependence and the growth rate of populations. Ecology. 77:1996;2014-2026.
17. Getz W.M. Competition, extinction, and sexuality of species. Ann. Zool. Fenn. 38:2001;315-330.
18. Hastings A. Transient dynamics and persistence of ecological systems. Ecol. Lett. 4:2001;215-220.
19. Henson S.M., Costantino R.F., Cushing J.M., Desharnais R.A., Dennis B., King A.A. Lattice effects observed in chaotic dynamics of experimental populations. Science. 294:2001;602-605.
20. Higgins K., Hastings A., Botsford L.W. Density dependence and age structure. nonlinear dynamics and population behavior Am. Nat. 149:1997;247-269.
21. Kaitala V., Ylikarjula J., Ranta E., Lundberg P. Population dynamics and the colour of environmental noise. Proc. R. Soc. London Ser. B: Biol. Sci. 264:1997;943-948.
22. May R.M. Biological populations with nonoverlapping generations. stable points, stable cycles, and Chaos Science. 186:1974;645-647.
23. May R.M., Oster G.F. Bifurcations and dynamic complexity in simple ecological models. Am. Nat. 110:1976;573-590.
24. Morrison D.F. Multivariate Statistical Methods. 3rd Edition:1976;McGraw- Hill, New York, NY.
25. Noble, B., Daniel, J.W., 1977. Applied Linear Algebra. 2nd Edition. Prentice-Hall, Englewood Cliffs, NJ.
26. Ripa J., Lundberg P., Kaitala V. A general theory of environmental noise in ecological food webs. Am. Nat. 151:1998;256-263.
27. Poon C.-S., Barahona M. Titration of chaos with added noise. Proc. Natl. Acad. Sci. (USA). 98:2001;7107-7112.
28. Schoombie S.W., Getz W.M. Evolutionary stable density-dependent strategies in a generalized Beverton and Holt model. Theor. Popul. Biol. 53:1998;216-235.
29. Shaffer M.L. Minimum population sizes for species conservation. BioScience. 31:1981;131-134.
30. Shannon C., Weaver W. The Mathematical Theory of Communication. 1949;University of Illinois Press, Urbana, IL.
31. Sugihara G., May R.M. Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature (London). 344:1990;734-741.
32. Sugihara G., Grenfell B., May R.M. Distinguishing error from chaos in ecological time series. Philos. Trans. R. Soc. London B: Biol. Sci. 330:1990;235-250.
33. Venables, W.N., Ripley, B.D., 1997. Modern Applied Statistics with S-Plus. 2nd Edition. Springer, New York, p. 548.