Chaos characteristics of tree ring series

Journal of Hydrology

Volumn 182, Issue 1-4, 1996, Pages 239-257

  Jeong, G D ^a   Rao, A R ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; MATHEMATICAL MODELS; PLANTS (BOTANY); RANDOM PROCESSES; RIVERS;

GRASSBERGER-PROCACCIA ALGORITHM; TREE RINGS;

CLIMATOLOGY;

CHAOS CHARACTERISTICS; CLIMATE CHARACTERISTICS; TREE RING SERIES;

EID: 0030184166     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-1694(95)02942-7     Document Type: Article

References (30)

1. Akaike, H., 1974. A new look at statistical model identification. IEEE Trans. Autom. Control, AC-19: 716-722.
2. Baker, G.L. and Gollub, J.P., 1990. Chaotic Dynamics: an Introduction. Cambridge University Press, New York, 182 pp.
3. Beven, K., 1987. Towards a new paradigm in hydrology. IAHS Publ., 164: 393-403.
4. Blackman, R.B. and Tukey, J.W., 1959. The Measurement of Power Spectra from the Point of View of Communications Engineering. Dover, New York.
5. Brockwell, P.J. and Davis, R.A., 1991. Time Series: Theory and Methods, 2nd edn. Springer, New York.
6. Crutchfield, R.P., Farmer, J.D., Packard, N.H. and Shaw, R.S., 1986. Chaos. Sci. Am., 225: 46-57.
7. Essex, C., Lookman, T. and Nerenberg, M.A.H., 1987. The climate attractor over short time scales. Nature, 333: 545-547.
8. Fraedrich, K., 1986. Estimating the dimensions of weather and climate attractors. J. Atmos. Sci., 43(5): 419-432.
9. Gliek, J., 1987. Chaos: Making a New Science. Viking, New York.
10. Grassberger, P., 1986. Do climatic attractors exist? Nature, 323: 609-611.
11. Grassberger, P. and Procaccia, I., 1983. Measuring the strangeness of strange attractors. Physica, 9D: 189-208.
12. Jensen, R.V., 1987. Classical chaos. Am. Sci., 75: 168-181.
13. Jeong, G.D. and Rao, A.R., 1992. Is there chaos in tree ring series? CE-HSE-92-8, School of Civil Engineering, Purdue University, W. Lafayette, IN.
14. Lorenz, E.N., 1963. Deterministic non-periodic flow. J. Atmos. Sci., 20: 130-141.
15. Lorenz, E.N., 1979. Predictability: does the flap of a butterfly's wings in Brazil set off a Tornado in Texas? Paper presented at the annual meeting, AAAS, Washington, DC, 29 December 1979.
16. Mandelbrot, B., 1983. The Fractal Geometry of Nature. W.H. Freeman, New York.
17. May, R.M., 1976. Simple mathematical models with very complicated dynamics. Nature, 261: 459-467.
18. May, R.M., 1987. Chaos and the dynamics of biological populations. Nucl. Phys. B (Proc. Suppl.), 2: 225-246.
19. Moon, F.C., 1987. Chaotic Vibrations. Wiley, New York.
20. Nicolis, C. and Nicolis, G., 1984. Nature, 311: 529-531.
21. Nicolis, C. and Nicolis, G., 1985. Phys. Bull., 41: 5-9.
22. Nicolis, C. and Nicolis, G., 1986. Is there a climatic attractor? J. Atmos. Sci., 43(5): 419-432.
23. Rodriguez-Iturbe, I., Febres de Power, B., Sharifi, M.B. and Georgakakos, K.P., 1989. Chaos in rainfall. Water Resour. Res., 25(7): 1667-1675.
24. Scargle, J.D., 1989. An introduction to chaotic and random time series analysis. Int. J. Imaging Syst. Technol., 1: 243-259.
25. Scargle, J.D., 1990. Studies in astronomical time series analysis, IV, Modeling chaotic and random processes with linear filters. Astrophys. J., 359: 469-482.
26. Shaw, R., 1984. The Dripping Faucet as a Model Chaotic System. Aerial Press, Santa Cruz, CA, 113 pp.
27. Smith, L.P., 1981. Long-term streamflow histories of the Salt and Verde Rivers, Arizona, as reconstructed from tree-rings. Laboratory of Tree-Ring Research, University of Arizona, Tuscon.
28. Tsonis, A.A. and Elsner, J.B., 1988. The weather attractor over very short times scales. Nature, 333: 545-547.
29. Wold, H., 1938. A Study in the Analysis of Stationary Time Series. Almquist and Wiksell, Uppsala.
30. Yevjevich, V., 1968. Misconceptions in hydrology and their consequences. Water Resour. Res. 4(2): 225-232.