Noise Reduction Approach in Chaotic Hydrologic Time Series Revisited

REFERENCES

• D'Astous , F. and Hipel , K. W. 1979 . “Analyzing Environmental Time Series.” . Journal of Environmental Engineering Division, ASCE , 105 ( EE5 ) : 979 – 992 .
   Google Scholar
• Elshorbagy , A. , Simonovic , S. P. and Panu , U. S. 2001a . “Noise Reduction in Chaotic Hydrologic Time Series: Facts and Doubts.” . In Journal of Hydrology accepted for publication
   Google Scholar
• Elshorbagy , A. , Panu , U. S. and Simonovic , S. P. 2001b . “Analysis of Cross-Correlated Chaotic Time Series.” . Hydrological Science Journal , 46 ( 5 ) : 781 – 794 .
   Web of Science ®Google Scholar
• Elshorbagy , A. , Simonovic , S. P. and Panu , U. S. 2000a . “Group-Based Estimation of Missing Hydrological Data. I. Approach and General Methodology.” . Hydrological Science Journal , 45 ( 6 ) : 849 – 866 .
   Web of Science ®Google Scholar
• Elshorbagy , A. , Panu , U. S. and Simonovic , S. P. 2000b . Group-Based Estimation of Missing Hydrological Data. II. Application to Streamflows.” . Hydrological Science Journal , 45 ( 6 ) : 867 – 880 .
   Web of Science ®Google Scholar
• Embrechts , M. 1994 . “Basic Concepts of Nonlinear Dynamics and Chaos Theory.” . In Trading on the Edge: Neural, Genetic, and Fuzzy Systems for Chaotic Financial Markets Edited by: Deboeck , G. J. 265 – 279 . NY : John Wiley & Sons, Inc. .
   Google Scholar
• Grassberger , P. , Hegger , R. , Kantz , H. , Schaffrath , C. and Schreiber , T. 1993 . “On Noise Reduction Methods for Chaotic Data.” . Chaos , 3 : 127 – 141 .
   PubMed Web of Science ®Google Scholar
• Hegger , R. , Kantz , H. and Schreiber , T. 1999 . Practical Implementation of Nonlinear Time Series Methods: The TISEAN Package.” . Chaos , 9 : 413 – 440 .
   PubMed Web of Science ®Google Scholar
• Jayawardena , A. W. and Gurung , A. B. 2000 . “Noise Reduction and Prediction of Hydrometeorological Time Series: Dynamical Systems Approach vs. Stochastic Approach.” . Journal of Hydrology , 228 : 242 – 264 .
   Web of Science ®Google Scholar
• Jayawardena , A. W. and Lai , F. 1994 . “Analysis and Prediction of Chaos in Rainfall and Streamflow Time Series . Journal of Hydrology , 153 : 23 – 52 .
   Web of Science ®Google Scholar
• Kantz , H. and Schreiber , T. 1997 . “Nonlinear Time Series Analysis.” UK : Cambridge University Press .
   Google Scholar
• Kawamura , A. , McKerchar , A. I. , Spigel , R. H. and Jinno , K. 1998 . “Chaotic Characteristics of the Southern Oscillation Index Time Series . “Journal of Hydrology , 204 : 168 – 181 .
   Google Scholar
• Kostelich , E. J. and Schreiber , T. 1993 . “Noise Reduction in Chaotic Time-Series Data: A Survey of Common Methods.” . Physics Review E , 48 ( 3 ) : 1752 – 1763 .
   Google Scholar
• Lall , U. , Sangoyomi , T. and Abarbanel , H. D.I. 1996 . “Nonlinear Dynamics of the Great Salt Lake: Nonparametric Short-Term Forecasting.” . Water Resources Research , 32 ( 4 ) : 975 – 985 .
   Web of Science ®Google Scholar
• Matalas , N. C. 1967 . “Mathematical Assessment of Synthetic Hydrology.” . Water Resources Research , 3 ( 4 ) : 937 – 945 .
   Web of Science ®Google Scholar
• Porporato , A. and Ridolfi , L. 1997 . “Nonlinear Analysis of River Flow Time Sequences. . Water Resources Research , 33 ( 6 ) : 1353 – 1367 .
   Web of Science ®Google Scholar
• Schouten , J. C. , Takens , F. and Van den Bleek , C. M. 1994 . “Estimation of the Dimension of a Noisy Attractor.” . Physics Review E , 50 ( 3 ) : 1851 – 1861 .
   PubMed Web of Science ®Google Scholar
• Schreiber , T. 1993 . “Extremely Simple Nonlinear Noise-Reduction Method.” . Physics Review E , 47 ( 4 ) : 2401 – 2404 .
   Google Scholar
• Schreiber , T. and Grassberger , P. 1991 . “A Simple Noise-Reduction Method for Real Data.” . Physics Letters A , 160 ( 5 ) : 411 – 418 .
   Web of Science ®Google Scholar
• Sivakumar , B. , Sorooshian , S. , Gupta , H. V. and Gao , X. 2001 . “A Chaotic Approach to Rainfall Disaggregation.” . Water Resources Research , 37 ( 1 ) : 61 – 72 .
   Web of Science ®Google Scholar
• Sivakumar , B. , Phoon , K. , Liong , S. and Liaw , C. 1999a . “A Systematic Approach to Noise Reduction in Chaotic Hydrological Time Series” . Journal of Hydrology , 219 : 103 – 135 .
   Web of Science ®Google Scholar
• Sivakumar , B. , Liong , S. , Liaw , C. and Phoon , K. 1999b . “Singapore Rainfall Behaviour: Chaotic?” . Journal of Hydrological Engineering, ASCE , 4 ( 1 ) : 38 – 48 .
   Web of Science ®Google Scholar
• Takens , F. 1981 . “Detecting Strange Attractors in Turbulence.” . In Dynamical Systems and Turbulence Edited by: Rand , D. A. and Young , L. S. 366 – 381 .
   Google Scholar
• Theiler , J. 1986 . “Spurious Dimension from Correlation Algorithms Applied to Limited Time-Series Data.” . Physics Review A , 34 : 2427 – 2432 .
   PubMed Web of Science ®Google Scholar
• Wang , Q. and Gan , T. Y. 1998 . “Biases of Correlation Dimension Estimates of Streamflow Data in the Canadian Prairies.” . Water Resources Research , 34 ( 9 ) : 2329 – 2339 .
   Web of Science ®Google Scholar