The moist static energy equation is
where the gross moist stability
acts as an effect stability for the system in moist regions.
Note that 
, the vertical velocity profile
corresponding to the velocity profile 
, is given by (7).
We have specified nothing about the convective closure on
moisture so far, only aspects of the closure on temperature.
In convective regions, all that is needed from the convective closure
for (10) is the vertical mean moisture and surface moisture (related
to 
and the large scale circulation). Thus the
essence of the model does not
place any demands on the particulars of the convective closure on moisture,
nor on the numerical treatment of moisture.