Warmer air can hold more water and warmer more moist air condenses at a higher temperature. Since temperature decreases with altitude, that would mean clouds would start forming at a lower altitude unless lapse changed to offset the change in dew point. That is unlikely because the mechanical forcing of convection, buoyancy, becomes stronger with increased water vapor. As buoyancy increases the rate of falling colder dry air that replaces the warmer moist air. That colder dry air, which should be colder and dryer thanks to increased GHE would stimulate more condensation, stimulating more convection and more precipitation.
The keys to all this activity are the convective triggering mechanisms, temperature, moisture and pressure differential. One of the odd things about this combination is the role of saturation vapor pressure of water. Colder dry air would have a higher pressure inducing flow toward warmer moist air but the warmer moist air has a higher saturation vapor pressure meaning water vapor would tend to flow from lighter more buoyant air to less buoyant air. This is wonderfully counter intuitive to most folks :) It is also just one of the mechanisms that makes modeling clouds and water vapor a serious bitch.
Mechanisms for convection triggering by cold pools
Abstract Cold pools are fundamental ingredients of deep convection. They contribute to organizing the subcloud layer and are considered key elements in triggering convective cells. It was long known that this could happen mechanically, through lifting by the cold pools’ fronts. More recently, it has been suggested that convection could also be triggered thermodynamically, by accumulation of moisture around the edges of cold pools. A method based on Lagrangian tracking is here proposed to disentangle the signatures of both forcings and quantify their importance in a given environment. Results from a simulation of radiative-convective equilibrium over the ocean show that parcels reach their level of free convection through a combination of both forcings, each being dominant at different stages of the ascent. Mechanical forcing is an important player in lifting parcels from the surface, whereas thermodynamic forcing reduces the inhibition encountered by parcels before they reach their level of free convection.I am still trying to digest this paper but it looks like it is on the right path.
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