Recurrence quantification analysis as a tool for characterization of non-linear mesocosm dynamics

Marine Ecology Progress Series

Volumn 242, Issue , 2002, Pages 29-37

  Dippner, Joachim W ^a   Heerkloss, Reinhard ^a   Zbilut, Joseph P ^a  

^a LEIBNIZ INSTITUTE FOR BALTIC SEA RESEARCH   (Germany)

Author keywords

Chaos; Mesocosm; Non linear dynamics; Plankton; Recurrence quantification analysis

Indexed keywords

AQUATIC COMMUNITY; COMMUNITY DYNAMICS; MESOCOSM; PLANKTON; QUANTITATIVE ANALYSIS;

COPEPODA; ROTIFERA;

EID: 0037175214     PISSN: 01718630     EISSN: None     Source Type: Journal    
DOI: 10.3354/meps242029     Document Type: Article

References (37)

1. Allen JC (1993) Chaos reduces species extinction by amplifying local population noise. Nature 364:229-232
2. Ascioti FA, Beltrami E, Carroll TO, Wirick C (1993) Is there chaos in plankton dynamics? J Plankton Res 15:603-617
3. Bergelson V (2000) The multivarious Poincaré recurrence theorem. In: Foreman M (ed) Descriptive Set Theory and Dynamical Systems. Cambridge University Press, Cambridge, p 31-57
4. Doveri F, Scheffer M, Rinaldi S, Muratori S, Kuznetsov Y (1993) Seasonality and chaos in a plankton-fish-model. Theor Popul Biol 43:159-183
5. Eckmann JP, Kamphorst SO, Ruelle D (1987) Recurrence plot of dynamical systems. Europhys Lett 4:324-327
6. Feller W (1968) An Introduction to Probability Theory and its Applications, Vol 1. Wiley, New York, p 303-341
7. Gao JB (1999) Recurrence time statistics for chaotic systems and their applications. Phys Rev Lett 83:3178-3181
8. Giuliani A, Piccirillo G, Marigliano V, Colosimo A (1998a) A nonlinear explanation of aging-induced changes in heartbeat dynamics. Am J Physiol 275 (Heart Circ Physiol 44):H1455-H1461
9. Giuliani A, Colosimo A, Benigni R, Zbilut JP (1998b) On the constructive role of noise in spatial systems. Phys Lett A 247:47-52
10. Giuliani A, Benigni R, Sirabella P, Zbilut JP, Colosimo A (2000) Nonlinear methods in the analysis of protein sequences: A case study in rubredoxins. Biophys J 78:136-148
11. Hasselmann K (1976) Stochastic climate models. Part I. Theory. Tellus 28:473-485
12. Hastings A, Powell T (1991) Chaos in a 3-species food chain. Ecology 73:896-903
13. Hastings A, Horn CL, Ellner S, Turchin P, Godfray HCJ (1993) Chaos in ecology: Is mother nature a strange attractor? Annu Rev Ecol Syst 25:1-33
14. Heerkloss R, Klinkenberg G (1998) A long-term series of a planktonic foodweb: A case of chaotic dynamics. Verh Int Ver Limnol 26:1952-1956
15. Hegger R, Kantz L, Matassimi L, Schreiber T (2000) Coping with nonstationarity by overembedding. Phys Rev Lett 84:4092-4095
16. Huisman J, Weissing FJ (1999) Biodiversity of plankton by species oscillations and chaos. Nature 402:407-410
17. Hutchinson GE (1961) The paradox of the plankton. Am Nat 95:137-145
18. Jenkins GM, Watts DG (1968) Spectral Analysis and its Applications. Holden Day, San Francisco, CA
19. Joergensen SE (1997) Integration of Ecosystem Theory: A Pattern. Kluwer Academic Publishers, Dordrecht
20. Manetti C, Ceruso MA, Giuliani A, Webber CL Jr, Zbilut JP (1999) Recurrence quantification analysis as a tool for characterization of molecular dynamics simulations. Phys Rev E 59:992-998
21. May RM, Oster GF (1976) Bifurcation and dynamic complexity in simple ecological models. Am Nat 110:573-599
22. McCann K, Yodzis P (1994) Biological conditions for chaos in a three-species food chain. Ecology 75:561-564
23. Rinaldi S, Solidoro C (1998) Chaos and peak-to-peak dynamics in a plankton-fish model. Theor Popul Biol 54:62-77
24. Schaffer M (1991) Should we expect strange attractors behind plankton dynamics - And if so should we bother? J Plankton Res 13:1291-1305
25. Schaffer WM, Kot M (1985) Do stange attractors govern ecological systems? BioScience 35:342-350
26. Schuster HG (1989) Deterministic Chaos. An Introduction. VHC Verlagsgesellschaft, Weinheim
27. Shannon CE, Weaver W (1949) The Mathematical Theory of Information. University of Illinois Press, Urbana
28. Solé RV, Valls J (1992) Spiral waves, chaos and multiple attractors in lattice models of interacting populations. Phys Lett A 166:123-128
29. Trulla LL, Giuliani A, Zbilut JP, Webber CL Jr (1996) Recurrence quantification analysis of the logistic equation with transients. Phys Lett A 223:225-260
30. Turchin P (1993) Chaos and stability in rodent population dynamics: Evidence from nonlinear time-series analysis. Oikos 68:167-172
31. Webber CL Jr, Zbilut JP (1994) Dynamical assessment of physiological systems and states using recurrence plot strategies. J Appl Physiol 76:965-973
32. Zbilut JP, Webber CL Jr (1992) Embeddings and dalays as derived from quantification of recurrence plots. Phys Lett A 171:199-203
33. Zbilut JP, Koebbe M, Mayer-Kress G (1992) Use of recurrence plots in the analysis of heart beat intervals. In: Proceedings Computers in Cardiology, IEEE Computer Society Press, Los Alamitos, p 263-266
34. Zbilut JP, Giuliani A, Webber CL Jr, Colosimo A (1998a) Recurrence quantification analysis in structure-function relationship of proteins: An overview of a general methodology applied to the sace of TEM-1 β-lactamase. Protein Eng 11:101-107
35. Zbilut JP, Giuliani A, Webber CL Jr (1998b) Recurrence quantification analysis and principal components in the detection of short complex signals. Phys Lett A 237:131-135
36. Zbilut JP, Giuliani A, Webber CL Jr (1998c) Detecting deterministic signals in exceptionally noisy environments using cross-recurrence quantification. Phys Lett A 246:122-128
37. Zbilut JP, Giuliani A, Webber CL Jr (2000) Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series. Phys Lett A 267:174-178