Nonlinear modeling of El Nino/Southern Oscillation Index

Journal of Hydrologic Engineering

Volumn 10, Issue 1, 2005, Pages 8-15

  Ahn, J H ^a   Kim, H S ^b  

^a Seokyeong University   (South Korea)

^b Inha University   (South Korea)

Author keywords

Auto regressive moving average model; Nonlinear analysis; Oscillations; Stochastic models; Time series analysis

Indexed keywords

FUNCTIONS; LINEAR SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES; TIME SERIES ANALYSIS;

AUTOREGRESSIVE/MOVING AVERAGE (ARMA); BROCK-DECHERT-SCHEINKMAN (BDS); PARTIAL AUTOCORRELATION FUNCTION; SOUTHERN OSCILLATION INDEX (SOI);

OSCILLATIONS;

EL NINO-SOUTHERN OSCILLATION; NONLINEARITY; NUMERICAL MODEL; STOCHASTICITY; TIME SERIES ANALYSIS;

ARMA;

EID: 11944258402     PISSN: 10840699     EISSN: None     Source Type: Journal    
DOI: 10.1061/(asce)1084-0699(2005)10:1(8)     Document Type: Article

References (46)

1. Bjerknes, J. (1966). "Survey of El Nino, 1957-58 in its relation to Tropical Pacific Meteorology." Bull. Int. American Tropical Tuna Commision, Vol. 12, 3-62.
2. Bollerslev, T. (1986). "Generalized autoregressive conditional heteroskedasticity." J. Econometr., 31, 307-327.
3. Brock, W. A., Dechert, W. D., and Scheinkman, J. A. (1987). A test for independence based on the correlation dimension, University of Wisconsin Press, Madison, Wis.
4. Brock, W. A., Dechert, W. D., Scheinkman, J. A., and LeBaron, B. (1996). "A test for independence based on the correlation dimension." Econ. Rev., 15(3), 197-235.
5. Brock, W. A., Hsieh, D. A., and LeBaron, B. (1991). Nonlinear dynamics, chaos, and instability: Statistical theory and economic evidence, MIT Press, Cambridge, Mass.
6. Burgers, G., and Stephenson, D. B. (1999). "The normality of El Nino." Geophys. Res. Lett., 26, 1027-1030.
7. Cane, M. A. (1983). "Oceanographic events during El Nino." Science 222(4629), 1189-1195.
8. Cane, M. A., Zebiak, S. E., and Dolan, S. C. (1986). "Experimental forecasts of El Nino." Nature (London), 321(26), 827-832.
9. Chen, W. Y. (1982). "Assessment of Southern Oscillation sea-level pressure indices." Mon. Weather Rev., 110, 800-807.
10. Chu, P. S. (1995). "Hawaii Rainfall Anomalies and El Nino." J. Clim., 8(6), 1697-1703.
11. Chu, P. S., and Katz, R. W. (1985). "Modeling and forecasting the sourthern oscillation: A time-domain approach." Mon. Weather Rev. 113, 1876-1888.
12. Dracup, J. A., and Kahya, E. (1994). "The relationships between U.S. streamflow and La Nina events." Water Resour. Res., 30(7), 2133-2141.
13. Engel, R. F. (1982). "Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation." J. Econometr., 50(4), 987-1007.
14. Engel, R. F. (1983). "Estimates of the variance of U.S. inflation based upon the ARCH model." J. Money, Credit, Banking, 15(3 ), 287-301.
15. Farmer, J. D., and Sidorowich, J. J. (1987). "Predicting chaotic time series." Phys. Rev. Lett. 59(8), 845-848.
16. Gill, A. E., and Rasmusson, E. M. (1983). "The 1982-1983 climate anomaly in the equatorial Pacific." Nature (London), 306(17), 229-234.
17. Gilmore, C. G. (1993a). "A new approach to testing for chaos with applications in finance and economics." Int. J. Bifurcation Chaos Appl. Sci. Eng., 3(3), 583-587.
18. Gilmore, C. G. (1993b). "A new test for chaos." J. Econ. Behav. Organ., 22, 209-237.
19. Grassberger, P., and Procaccia, I. (1983). "Measuring the strangeness of strange attractors." Physica D, 7, 153-180.
20. Hannachi, A., Stephenson, D. B., and Sperber, K. R. (2003). "Probability based methods for quantifying nonlinearity in the ENSO." Clim. Dyn., 20, 241-256.
21. Hannan, E. J., and Rissanen, J. (1982). "Recursive estimation of mixed autoregressive moving average order." Biometrika, 69, 81-94.
22. Hsieh, W. W. (2001). "Nonlinear canonical correlation analysis of the tropical Pacific climate variability using a neural network approach." J. Clim., 14, 2528-2539.
23. Jin, F. F., Neelin, J. D., and Ghil, M. (1994). "El Nino on the Devil's Staircase: Annual subharmonic steps to chaos." Science, 264, 70-72.
24. Kawamura, A., McKerchar, A. I., Spigel, R. H., and Jinno, K. (1998). "Chaotic characteristics of the Southern Oscillation Index time series." J. Hydrol., 204, 168-181.
25. Kim, H. S., Kang, D. S., and Kim, J. H. (2003). "The BDS statistic and residual test." Stoch. Environ. Res. Risk Assess., 17(1-2), 104-115.
26. Kim, H. S., Yoon, Y. N., Kim, J. H., and Kim, J. H. (2001). " Searching for strange attractor in wastewater flow." Stoch. Environ. Res. Risk Assess., 15(5), 399-413.
27. McBride, J. L., and Nicholls, N. (1983). "Seasonal relationships between Australian rainfall and the southern oscillation." Mon. Weather Rev., 111, 1998-2004.
28. Monahan, A. H. (2001). "Nonlinear principal component analysis: Tropical Indo-Pacific sea surface temperature and sea level pressure." J. Clim., 14, 219-233.
29. Moss, M. E., Pearson, C. P., and McKerchar, A. I. (1994). "The Southern oscillation index as a predictor of the probability of low streamflows in New Zealand." Water Resour. Res., 30(10), 2717-2723.
30. Packard, N. H., Crutchfield, J. P., Farmer, J. D., and Shaw, R. S. (1980). "Geometry from a time Series." Phys. Rev. Lett. 45, 712-712.
31. Philander, S. G. H. (1983). "El Nino Southern Oscillation phenomena." Nature (London) 302(24), 295-301.
32. Philander, S. G. H. (1985). "El Nino and La Nina." J. Atmos. Sci. 42(23), 2652-2662.
33. Piechota, T. C., and Dracup, J. A. (1996). "Drought and regional hydrologic variation in the United States: Associations with the El Nino-Southern oscillation." Water Resour. Res., 32(5), 1359-1373.
34. Quinn, W. H., Neal, V. T., and Antunez, S. E. (1987). "El Nino occurrences over the past four and a half centuries." J. Geophys. Res., 92(c13), 14449-14461.
35. Rasmusson, E. M., and Wallace, J. M. (1983). "Meteorological aspects of the El Nino/southern oscillation." Science, 222(4629), 1195-1202.
36. Ropelewski, C. F., and Halpert, M. S. (1987). "Global and regional scale precipitation patterns associated with the El Nino/southern oscillation." Mon. Weather Rev., 115, 1606-1626.
37. Ropelewski, C. F., and Halpert, M. S. (1989). "Precipitation patterns associated with the high index phase of the southern oscillation." J. Clim., 2, 268-284.
38. Schwarz, G. (1978). "Estimating the dimension of a model." Ann. Stat., 6, 461-464.
39. Tang, Y., Hsieh, W. W., Tang, B., and Haines, K. (2001). "A neural network atmospheric model for hybrid coupled modeling." Clim. Dyn. 17, 445-455.
40. Tangang, F. T., Hsieh, W. W., and Tang, B. (1997). "Forecasting the equatorial Pacific sea surface temperatures by neural network models." Clim. Dyn., 13, 135-147.
41. Tong, H. (1990). Non-linear time series: A dynamical system approach Clarendon, Oxford, U.K.
42. Trenberth, K. E. (1976). "Spatial and temporal variations of the Southern Oscillation." Q. J. R. Meteorol. Soc., 102, 639-653.
43. Trenberth, K. E. (1984). "Signal versus noise in the southern oscillation." Mon. Weather Rev., 112, 326-332.
44. Trenberth, K. E. (1997). "The definition of El Nino." Bull. Am. Meteorol. Soc., 78(12), 2771-2777.
45. Tziperman, E., Stone, L., Cane, M. A., and Jarosh, H. (1994), "El Nino chaos: Overlapping of resonances between the seasonal cycle and the Pacific Ocean-atmosphere oscillator." Science, 264, 72-74.
46. Walker, G. T. (1923). "Correlation in seasonal variations of weather (VIII): A preliminary study of world weather." Mem. Indian Meteorol. Dep., 24, 75-131.