The horizontal structures of the dynamical fields associated with the waves are all generally consistent with those calculated from inviscid equatorial Beta-plane shallow water theory. In the vertical, there are statistically significant structures spanning the depth of the troposphere, and for all but the ER wave, there are associated vertically propagating signals extending into the equatorial stratosphere as well. In zonal cross-sections, the vertical structure of the temperature anomaly field appears, for all but the ER wave, as a "boomerang"-like shape, with the "elbow" of the boomerang occurring consistently at the 250 hPa level. The tilts of the boomerang imply upward phase propagation throughout most of the troposphere, and downward phase propagation above. The deep convection of the waves occurs in regions of anomalously cold temperatures in the lower troposphere, warm temperatures in the upper troposphere, and cold temperatures at the level of the tropopause. Such a vertical structure appears to indicate that waves of relatively short vertical wavelengths (Lz ~ 10 km) are indeed importan t for the coupling of large-scale dynamics and convection. The deeper structure of the convectively coupled ER wave, on the other hand, is thought to be an indication of the effects of basic state vertical shear. Lastly, the scales of the waves in the equatorial lower stratosphere that are forced by the convectively coupled equatorial waves are quite consistent with those found in many previous studies.
