Fluctuations in vertical profiles of atmospheric temperature and horizontal wind in the 20-60 km altitude range have been isolated from meteorological rocket measurements during 1977-87 at 15 widely separated sites. The seasonal, geographical, and vertical variability of the variance of horizontal velocities, + p, and relative-temperature perturbations, F , were studied. The bulk of the variance of both quantities in the 2-10 km and 2-20 km vertical-wavelength bands was associated with gravity-wave motions, although in-depth study of the wave polarization shows that planetary-scale equatorial wave modes contribute to the variance at equatorial sites. Annual mean variances varied widely among -the 15 stations, suggesting appreciable geographical variability in stratospheric wave activity. Whereas u'* + u '~ values generally increased significantly with altitude throughout the stratosphere, F values grew less substantially and often decreased with altitude at upper heights. Rotations of wave-velocity phasors with height were always more frequently clockwise than anticlockwise in the northern hemisphere, consistent with upward-propagating wave energy, yet these percentages (>50%) showed a marked semi-annual variation, with equinoctial maxima and minima at the solstices. At high latitudes (-50°N-80"N) variances exhibited a strong annual variation, with the minimum in summer and a strong peak during winter at both lower (20-40 km) and upper (40-60 km) heights. The annual variance cycle attenuated somewhat at mid-latitudes (-25"N-40"N), and a strong peak in August dominated the d 2 + variations at 4 0 4 0 km. The peak was also evident in p, but was smaller relative to the winter peak. At low latitudes (-15"N-25'") the wave morphology was broadly similar to that at mid-latitudes, apart from an additional upper-level peak in the variance in May. This peak in May occurred in some years but not in others at mid-latitude stations. At the equatorial stations (-10"N-10%) the low-level variance showed little systematic seasonal variability, but exhibited clear modulation over a quasi-two-year period. Much of this variance was consistent with the Kelvin modes thought to drive the eastward phase of the stratospheric quasibiennial oscillation (QBO). However, the uniform east-west alignment of waves was inconsistent with the expected polarization of the mixed Rossby-gravity wave mode which is believed to drive the westward phase of the QBO. At 40-60 km, the variance was strongly attenuated around April-May and November, when both 8 + ? and Fdecreased with height around the 40-45 km range, indicating that wave dissipation occurs here. This produced a semi-annual variation at upper heights, with maxima around January and July, which may contribute significantly to the semi-annual wave driving of the equatorial upper stratosphere. Polarization studies showed that this variance in the 2-10 km band was mostly due to gravity waves, although equatorial modes contributed during December-February .