Multivariate nonlinear ensemble prediction of daily chaotic rainfall with climate inputs

Journal of Hydrology

Volumn 403, Issue 3-4, 2011, Pages 292-306

  Dhanya, C T ^a   Nagesh Kumar, D ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Chaotic nature; Ensemble prediction; Multivariate phase space; Nonlinearity; Predictability; Uncertainty

Indexed keywords

CHAOTIC NATURE; ENSEMBLE PREDICTION; MULTIVARIATE PHASE SPACE; NON-LINEARITY; PREDICTABILITY; UNCERTAINTY;

APPROXIMATION THEORY; FORECASTING; PHASE SPACE METHODS; PRINCIPAL COMPONENT ANALYSIS; RAIN;

CHAOTIC SYSTEMS;

DATA SET; NONLINEARITY; NUMERICAL MODEL; PRINCIPAL COMPONENT ANALYSIS; RAINFALL; RIVER BASIN; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

INDIA; KARNATAKA; MALAPRABHA RIVER;

EID: 79956368545     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.04.009     Document Type: Article

References (40)

1. Anandhi A., Srinivas V.V., Nanjudaiah R., Kumar D.N. Downscaling precipitation to river basin in India for IPCC SRES scenarios using support vector machine. Int. J. Climatol. 2008, 28:401-420.
2. Cao L., Mees A., Judd K. Dynamics from multivariate time series. Physica D 1998, 121:75-88.
3. Dhanya C.T., Kumar D.N. Nonlinear ensemble prediction of chaotic daily rainfall. Adv. Water Res. 2010, 33:327-347.
4. Dhanya, C.T., Kumar, D.N., 2011. Predictive uncertainty of chaotic daily streamflow using ensemble wavelet networks approach, Water Resour. Res. doi:10.1029/2010WR010173.
5. Elshorbagy A., Simonovic S.P., Panu U.S. Noise reduction in chaotic hydrologic time series: facts and doubts. J. Hydrol. 2002, 256(3/4):147-165.
6. Farmer J.D., Sidorowich J.J. Predicting chaotic time series. Phys. Rev. Lett. 1987, 59:845-848.
7. Frazer A.M., Swinney H.L. Independent coordinates for strange attractors from mutual information. Phys. Rev. A 1986, 33(2):1134-1140.
8. Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica D 1983, 9:189-208.
9. Hegger R., Kantz H. Improved false nearest neighbor method to detect determinism in time series data. Phys. Rev. E 1999, 60:4970-4973.
10. Islam M.N., Sivakumar B. Characterization and prediction of runoff dynamics: a nonlinear dynamical view. Adv. Water Resour. 2002, 25:179-190.
11. Jayawardena A.W., Gurung A.B. Noise reduction and prediction of hydrometeorological time series: dynamical systems approach vs. stochastic approach. J. Hydrol. 2000, 228:242-264.
12. Jayawardena A.W., Lai F. Analysis and prediction of chaos in rainfall and stream flow time series. J. Hydrol. 1994, 153:23-52.
13. Jin Y.H., Kawamura A., Jinno K., Berndtsson R. Nonlinear multivariable analysis of SOI and local precipitation and temperature. Nonlinear Process. Geophys. 2005, 12:67-74.
14. Kalnay E., Kanamitsu M., Kistler R., Collins W., Deaven D., Gandin L., Iredell M., Saha S., White G., Woollen J., Zhu Y., Leetmaa A., Reynolds R., Chelliah M., Ebisuzaki W., Higgins W., Janowiak J., Mo K.C., Ropelewski C., Wang J., Jenne R., Joseph D. The NCEP/NCAR 40-year reanalysis project. Bull. Am. Meteor. Soc. 1996, 77:437-470.
15. Kantz H., Schreiber T. Nonlinear Time Series Analysis 2004, Cambridge University Press, Cambridge, UK. second ed.
16. Kennel M.B., Brown R., Abarbanel H.D.I. Determining embedding dimension for phase space reconstruction using a geometric method. Phys. Rev. A 1992, 45:3403-3411.
17. Liu Q., Islam S., Rodriguez-lturbe I., Le Y. Phase-space analysis of daily streamflow: characterization and prediction. Adv. Water Resour. 1998, 21:463-475.
18. Lorenz E.N. Deterministic nonperiodic flow. J. Atmos. Sci. 1963, 20:130-141.
19. Lorenz, E.N., 1972. Predictability: does the Flap of a Butterfly's Wings in Brazil set off a Tornado in Texas? AAAS Section on Environmental Sciences New Approached to Global Weather: GARP (The Global Atmospheric research Program), 139th Meeting, American Association for the Advancement of Science.
20. Osborne A.R., Provenzale A. Finite correlation dimension for stochastic systems with power law spectra. Physica D 1989, 35:357-381.
21. Porporato A., Ridolfi L. Clues to the existence of deterministic chaos in river flow. Int. J. Mod. Phys. B 1996, 10(15):1821-1862.
22. Porporato A., Ridolfi L. Nonlinear analysis of river flow time sequences. Water Resour. Res. 1997, 33(6):1353-1367.
23. Porporato A., Ridolfi L. Multivariate nonlinear prediction of riverflow. J. Hydrol. 2001, 248:109-122.
24. Puente C.E., Obregon N. A deterministic geometric representation of temporal rainfall: results for a storm in Boston. Water Resour. Res. 1996, 32(9):2825-2839.
25. Rajeevan M., Bhate J., Kale J.D., Lal B. High resolution daily gridded rainfall data for the Indian region: analysis of break and active monsoon spells. Curr. Sci. 2006, 91:296-306.
26. Rodriguez-Iturbe I., De Power F.B., Sharifi M.B., Georgakakos K.P. Chaos in rainfall. Water Resour. Res. 1989, 25(7):1667-1675.
27. Rosenstein M.T., Collins J.J., De Luca C.J. A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 1993, 65:117-134.
28. Sangoyomi T., Lall U., Abarbanel H.D.J. Nonlinear dynamics of the Great Salt Lake: dimension estimation. Water Resour. Res. 1996, 32(1):149-159.
29. Schreiber T. Extremely simple nonlinear noise reduction method. Phys. Rev. E. 1993, 47(4):2401-2404.
30. Shang P., Xu N., Kamae S. Chaotic analysis of time series in the sediment transport phenomenon. Chaos, Solitons & Fractals 2009, 41(1):368-379. 10.1016/j.chaos.2008.01.014.
31. Sivakumar B. Rainfall dynamics at different temporal scales: a chaotic perspective. Hydrol. Earth System Sci. 2001, 5(4):645-651.
32. Sivakumar B., Liong S.Y., Liaw C.Y., Phoon K.K. Singapore rainfall behavior: chaotic?. J. Hydrol. Eng. 1999, 4(1):38-48.
33. Sivakumar B., Berndtsson R., Olsson J., Jinn K. Evidence of chaos in the rainfall-runoff process. Hydrol. Sci. J. 2001, 46(1):131-145.
34. Smith, L.A., 2000. Disentangling uncertainty and error: on the predictability of nonlinear systems. In: Mees, A. (Ed.), Nonlinear Dynamics and Statistics. Birkhauser, pp. 31-64.
35. Smith L.A., Ziehmann C., Fraedrich K. Uncertainty dynamics and predictability in chaotic systems. Q.J.R. Meteorol. Soc. 1998, 125:2855-2886.
36. Takens F. Detecting strange attractors in turbulence. Lectures Notes in Mathematics 1981, vol. 898. Springer-Verlag, Berlin, Germany.
37. Velichov S. Nonlinear Dynamics and Chaos: with Applications to Hydrodynamic and Hydrological Modeling 2004, Taylor & Francis.
38. Vlachos I., Kugiumtzis D. State space reconstruction for multivariate time series prediction. Nonlinear phenomena in complex systems 2008, 11:241-249.
39. Wang Q., Gan T.Y. Biases of correlation dimension estimates of streamflow data in the Canadian prairies. Water Resour. Res. 1998, 34(9):2329-2339.
40. Wolf A., Swift J.B., Swinney H.L., Vastano A. Determining Lyapunov exponents from a time series. Physica D 1985, 16:285-317.