| References |
|
|
Bates JE and
Shephard HK
(1993)
Measuring complexity using information fluctuation.
Physics Letters A
172: 416425.
|
|
|
Eckmann JP,
Kamphorst SO and
Ruelle D
(1987)
Recurrence plots of dynamical systems.
Europhysics Letters
4(9): 973977.
|
|
|
Ghil M,
Allen RM,
Dettinger MD et al.
(2002)
Advanced spectral methods for climatic time series.
Reviews of Geophysics
40(1): 1-11-41.
|
|
|
Grassberger P,
Schreiber T and
Schaffrath C
(1991)
Nonlinear time sequence analysis.
International Journal of Bifurcation and Chaos
1(3): 521547.
|
|
|
book
Hauhs M and
Lange H
(2004)
"Modeling the complexity of environmental and biological systems Lessons of ecological modeling".
In: Klonowski P (ed.)
Nonlinear Dynamics in Environmental and Biological Sciences,
pp. 130154.
Lengerich: PABST Science Publisher
|
|
|
book
Hipel KW and
McLeod AI
(1994)
Time Series Modelling of Water Resources and Environmental Systems.
Amsterdam: Elsevier.
|
|
|
Hurst HE
(1951)
Long-term storage capacity of reservoirs.
Transactions of the American Society of Civil Engineering
116: 770799.
|
|
|
Kantelhardt JW,
Koscielny-Bunde E,
Rego HHA,
Havlin S and
Bunde A
(2001)
Detecting long-range correlations with detrended fluctuation analysis.
Physica A
295: 441454.
|
|
|
Kennel MB
(1997)
Statistical test for dynamical nonstationarity in observed time-series data.
Physical Review E
56(1): 316321.
|
|
|
Kratz TK,
Deegan LA,
Harmon ME and
Lauenroth WK
(2003)
Ecological variability in space and time: insights gained from the US LTER program.
Bioscience
53(1): 5767.
|
|
|
Lange H
(1999)
Time series analysis of ecosystem variables with complexity measures.
Interjournal for Complex Systems 250
http://www.interjournal.org/cgi-bin/manuscript_abstract.cgi?
7460.
|
|
|
book
Lind DA and
Marcus B
(1995)
An Introduction to Symbolic Dynamics and Coding.
Cambridge, UK: Cambridge University Press.
|
|
|
Lovejoy S and
Schertzer D
(1990)
Multifractals, universality classes and satellite and radar measurements of cloud and rain fields.
Journal of Geophysical Research
95(D3): 20212034.
|
|
|
Mandelbrot BB and
Wallis JR
(1969)
Robustness of the rescaled range R/S and the measurement of noncyclic long run statistical dependence.
Water Resources Research
5: 967988.
|
|
|
Nash JE and
Sutcliffe V
(1970)
River flow forecasting through conceptual models, I. A discussion of principles.
Journal of Hydrology
10: 282290.
|
|
|
book
Percival DB and
Walden AT
(2000)
Wavelet Methods for Time Series Analysis.
Cambridge: Cambridge University Press.
|
|
|
Salvadori G,
Lovejoy S and
Schertzer D
(2001)
Multifractal objective analysis: conditioning and interpolation.
Stochastic Environmental Research and Risk Assessment
15: 261283.
|
|
|
Scargle JD
(1982)
Studies in astronomical time series analysis. II. Statistical aspects of spectral analysis of unevenly spaced data.
The Astrophysical Journal
263: 835853.
|
|
|
Tessier Y,
Lovejoy S,
Hubert P,
Schertzer D and
Pecknold S
(1996)
Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions.
Journal of Geophysical Research
101(D21): 2642726440.
|
|
|
Thiel M,
Romano MC,
Kurths J et al.
(2002)
Influence of observational noise on the recurrence quantification analysis.
Physica D
171: 138152.
|
|
|
Torrence C and
Compo GP
(1998)
A practical guide to wavelet analysis.
Bulletin of the American Meteorological Society
79(1): 6178.
|
|
|
Wackerbauer R,
Witt A,
Atmanspacher H,
Kurths J and
Scheingraber H
(1994)
A comparative classification of complexity measures.
Chaos, Solitons & Fractals
4(1): 133173.
|
|
|
Witt A,
Kurths J and
Pikovsky A
(1998)
Testing stationarity in time series.
Physical Review E
58: 18001810.
|
|
|
Yue S,
Pilon P and
Cavadias G
(2002)
Power of the MannKendall and Spearman's rho tests for detecting monotonic trends in hydrological series.
Journal of Hydrology
259: 254271.
|
|
|
Zbilut JP,
Giuliani A and
Webber CL
(1998a)
Detecting deterministic signals in exceptionally noisy environments using cross-recurrence quantification.
Physics Letters A
246: 122128.
|
|
|
Zbilut JP,
Giuliani A and
Webber Jr CL
(1998b)
Recurrence quantification analysis and principal components in the detection of short complex signals.
Physics Letters A
237: 131135.
|
| Further Reading |
|
|
book
Brockwell P and
Davis R
(1987)
Time Series: Theory and Methods.
Berlin: Springer.
|
|
|
book
Diks C
(1999)
Nonlinear Time Series Analysis.
Singapore: World Scientific..
|
|
|
book
Kantz H and
Schreiber T
(1997)
Nonlinear Time Series Analysis.
Cambridge: Cambridge University Press.
|
|
|
book
Priestley MB
(1981)
Spectral Analysis and Time Series Analysis.
London: Academic Press.
|
|
|
book
Priestley MB
(1988)
Non-linear and Non-stationary Time Series Analysis.
London: Academic Press.
|
|
|
book
Pollock DSG
(1999)
A Handbook of Time Series Analysis, Signal Processing and Dynamics.
San Diego: Academic Press.
|
|
|
book
Schroeder MR
(1991)
Fractals, Chaos, Power Laws Minutes from an Infinite Paradise.
New York: WH Freeman.
|
|
|
book
Tong H
(1990)
Non-linear Time Series Analysis.
Oxford: Oxford University Press.
|
|
|
book
Wei WWS
(1994)
Time Series Analysis Univariate and Multivariate Methods.
Redwood City: Addison-Wesley.
|