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Advanced ENSO Theory: The Delayed Oscillator

Introduction
The Simplified Tropical Pacific Ocean
Perturbing the Ocean
Kelvin and Rossby Waves
Evolution of Kelvin and Rossby Waves
The Coupled System
What Happens During El Niño?
References

Kelvin and Rossby Waves

Thus, an eastward wind-stress forcing produces equator-ward mass transport in both hemispheres, acting to increase locally the depth of the warm water layer near the equator, and decrease it locally farther poleward in either hemisphere. The mass surplus near the equator then begins to disperse eastward as a so-called (downwelling) Kelvin wave, and the mass-deficit areas begin to propagate westward as so-called (upwelling) Rossby waves (upwelling and downwelling refer to the wave tendencies either to shallow or deepen the warm water layer). Kelvin and Rossby waves have different propagation speeds (and directions) because of their different latitudinal structure, once again owing to the important effect of the Coriolis force, which is strongly latitude-dependent.

In the eastern and central equatorial Pacific, wave signals in general have important impacts on the Sea Surface Temperature (SST) because, due to the presence of the climatological westward blowing trade winds, there is mean poleward surface flow in either hemisphere, and mean upwelling at the equator, and thus a mechanism to translate subsurface anomalies to the surface.

The Kelvin wave and Rossby wave signals generated by this wind stress are shown in the upper left panel of Figure 4. The Kelvin wave with positive ocean surface height anomalies is represented by region shaded in red and gold. The Rossby wave, with negative surface height anomalies, is shown by the region shaded in blue and green.

Figure 4. Ocean surface height anomaly (in cm)
Ocean surface height anomaly

The different latitudinal structures of the Kelvin and Rossby waves are evident in the cross sections shown in Figure 5a and 5b. The Kelvin wave surface height anomaly is qualitatively similar to the imposed surface stress anomaly, with maximum amplitude on the equator and reduced amplitude off the equator, although the ocean wave structure decays much more rapidly with latitude. The Rossby wave structure is nearly symmetric about the equator, featuring a relative minimum height anomaly along the equator and areas of largest height anomaly at approximately 4 degrees latitude in either hemisphere.

Figure 5a. Ocean surface height anomaly along 140 West
Ocean surface height anomaly along 140 West

Figure 5b. Ocean surface height anomaly along 180 East
Ocean surface height anomaly along 180 East