height ($H_{\rm p}/H_{\rm g}$ in their notation). Carlson et al. (1994) retrieve ratios of 0.35 and 0.40 ($\pm$ 0.10) for ammonia clouds in the Equatorial and Northern Tropical Zones, respectively, which are seen in Figure 3 to span a range of $f_{\rm rain}$ values between $\sim$ 1 and 3. Retrievals of ammonia cloud properties for the Jovian tropics from ISO (Infrared Space Observatory) measurements by Brooke et al. (1998) indicate a scale height ratio of 0.3, which is consistent with our model results for $f_{\rm rain} \sim 2$.

Were the ratio $q_{\rm c} / q_{\rm t}$ fixed in our model, as assumed heuristically for Equation \[heuristic\_soln\], the condensate height should vary as $f_{\rm rain}^{-1}$. However, as seen in Figure 3, the model dependence is not nearly that steep, and for $f_{\rm rain} > 3$ the dependence nearly vanishes. The dependence is moderated by a negative feedback in which $q_{\rm c} / q_{\rm t}$ decreases with increasing $f_{\rm rain}$. Our assumption of zero supersaturation within a cloud is equivalent to $q_{\rm c} / q_{\rm t} = S - 1$, where $S$ is the potential supersaturation before condensation eliminates it. Increased $f_{\rm rain}$ offsets more of the turbulent mixing of vapor and 