“…In this case, the c h −U >0 waves, together with the decrease in the mean zonal wind with height, in the height interval of spectral analysis, act collectively to produce β = -1 (downshifting). On the other hand, the observations have shown that gravity waves are also produced near the jet stream peak at ∼10 km (Yamanaka et al, 1989;Fritts and Nastrom, 1992;Sato, 1994), and these waves can enter the stratosphere where they yield β = -1 (downshifting). However, the lower tropospheric waves cannot enter the stratosphere due to criticallevel encounters lower down.…”