ii) We see an increased tropopause height above the rising column but, as described above, that induces a decreased height above the descending column so that the surface below the descending column warms up less during adiabatic descent than would otherwise have been the case. (newclimatemodel.com)
If the tropopause rises or falls, it causes a change in the gradient of tropopause height between equator and poles. (newclimatemodel.com)
The radiative constraint expresses conservation of energy and so must be satisfied, although it need not necessarily be useful in providing a tight constraint on tropopause height. (gfdl.noaa.gov)