Sun, D.-Z., 2000: Global climate change and El Niño: A theoretical framework. In El Niño and the Southern Oscillation: Multiscale Variability and Global and Regional Impacts, H. F. Diaz and V. Markgraf (Eds.), Cambridge University Press, 443-463.
To better understand what drives El Niño, an analytical model of the coupled ocean-atmosphere system over the equatorial Pacific is constructed. The equatorial atmosphere is approximated as a linear feedback system whose surface winds are driven by sea surface temperature (SST) gradients and whose thermal effect is to restore the entire equatorial SST to its maximum value - the SST of the warm pool. The upper ocean is represented by a shallow-water model capped by a mixed layer with a constant depth. The zonal mean stratification of the thermocline is maintained by upwelling from the deep ocean. The model captures the oscillatory behavior of the present tropical Pacific climate - the El Niño Southern Oscillation (ENSO). The main features of the oscillation in the model agree well with the observed El Niño, including the period of the oscillation and the phase relationship between the variations of SST and the variations in the depth of the thermocline. Moreover, the model predicts that the climate of the eastern tropical Pacific has two regimes: One is warm and steady, and the other is cold and oscillating, consistent with the inference from geoarcheological data that El Niño did not exist during the early to mid-Holocene, when the global and regional climates where warmer than today. The transition from the steady climate to the oscillating climate takes place when the temperature contrast between the surface warm pool and the deep ocean exceeds a critical value. A stability analysis reveals that the zonal SST contrast and the accompanying wind-driven currents have to be sufficiently strong to become oscillatory, and that requires a sufficiently large difference between the SST of the warm pool and the temperature of the deep ocean. On the timescale of millennia, a sufficiently cold equatorial deep ocean implies sufficiently cold high latitudes, a condition that is met by the present climate, but possibly not by the climate of the early to mid-Holocene. In the oscillating regime, the magnitude of El Niño is found to increase monotonically with increases in the difference between the SST of the warm pool and the temperature of the deep ocean. The increase in the magnitude of El Niño is accompanied by an increase in zonal SST contrast in the equatorial region. The implication of these results for the response of El Niño to an increase in the greenhouse effect is discussed.