This work is supported by NOAA Grants UCSIO CU01556601D and NA36GP0074-02. Thanks are due to the anonymous reviewers for helpful comments and suggestions in improving the manuscript.
Cleveland, W. S., and S. J. Devlin, 1988: Locally weighted regression: An approach to regression analysis by local fitting. J. Amer. Stat. Assoc.,83, 596–610.
Cox, D. R., and V. Isham, 1980: Point Processes. Chapman and Hall, 188 pp.
Diggle, P. J., 1985: A kernel method for smoothing point-process data. Appl. Stat.,34, 138–147.
Gabriel, K. R., and J. Neumann, 1962: A Markov chain model for daily rainfall occurrence at Tel Aviv. Quart. J. Roy. Meteor. Soc.,88, 90–95.
Gates, P., and H. Tong, 1976: On Markov chain modeling to some weather data. J. Appl. Meteor.,15, 1145–1151.
Graham, N. E., and W. B. White, 1988: El Niño cycle: A natural oscillator of the Pacific Ocean–atmosphere system. Science,240, 1293–1302.
Guzman, A. G., and C. W. Torrez, 1985: Daily rainfall probabilities: Conditional upon prior occurrence and amount of rain. J. Climate Appl. Meteor.,24, 1009–1014.
Hopkins, J. W., and P. Robillard, 1964: Some statistics of daily rainfall occurrence for the Canadian prairie provinces. J. Appl. Meteor.,3, 600–602.
Rajagopalan, B., and U. Lall, 1995a: A kernel estimator for discrete distributions. J. Nonparam. Stat.,4, 409–426.
——, and ——, 1995b: Seasonality of precipitation along a meridian in the western United States. Geophys. Res. Lett.,22 (9), 1081–1084.
——, ——, and D. G. Tarboton, 1996: A nonhomogeneous Markov model for daily precipitation simulation. ASCE J. Hydrol. Eng.,1 (1), 33–40.
Solow, A. R., 1991: The nonparametric analysis of point process data: The freezing history of Lake Konstanz. J. Climate,4, 116–119.
Tong, H., 1975: Determination of the order of a Markov chain by Akaike’s information criteria. J. Appl. Prob.,12, 488–497.
Trenberth, K. E., 1984: Signal versus noise in the Southern Oscillation. Mon. Wea. Rev.,112, 326–332.
——, 1990: Recent observed interdecadal climate changes in the Northern Hemisphere. Bull. Amer. Meteor. Soc.,71, 988–993.
——, and J. W. Hurrell, 1994: Decadal atmosphere–ocean variations in the Pacific. Climate Dyn.,9, 303–319.
——, and T. J. Hoar, 1996: The 1990–1995 El Niño–Sourthern Oscillation event: Longest on record. Geophys. Res. Lett.,23 (1), 57–60.
Tziperman, E., L. Stone, M. Cane, and H. Jarosh, 1994: El Niño chaos: Overlapping of resonances between the seasonal cycle and the Pacific Ocean–atmosphere oscillator. Science,264, 72–74.
——, M. Cane, and S. Zebiak, 1995: Irregularity and locking to the seasonal cycle in an ENSO prediction model as explained by the quasi-periodicity route to chaos. J. Atmos., Sci.,52, 293–306.
Waymire, E., and V. K. Gupta, 1981: The mathematical structure of rainfall representations, 2, A review of the theory of point processes. Water. Resour. Res.,17 (5), 1273–1286.
Zebiak, E. S., and M. A. Cane, 1987: A model El Niño–Southern Oscillation. Mon. Wea. Rev.,115, 2262–2278.