"""...Please note if a cloud passes over head in the desert, radiative cooling changes, and so does downward thermal emission from the atmosphere, ..."""
Your concept of 'radiational cooling' is entirely bogus. Trenberth keeps a tight control on atmospheric radiation to insure the fraud continues. No where is there valuable quantification.
Clear nighttime skys, with no wind usually means high pressure system. This means descending dry air, which prevents clouds. The presence of clouds means layers or stratification of air by temperature and moisture.
Clouds therefore restrict convection. The clear and descending dry air of high pressure, allows convection between upper atmosphere and surface. Cloud cover at night can reduce temperature loss by restriction of convection. It IS NOT THE CLOUDS RESTRICTING OUTGOING RADIATION INTO THE 'COLD SINK' OF SPACE.
The concept of radiational cooling is ENTIRELY bogus.
In winter, after a recent snow or rain with the ground saturated in water, with high pressure system, with nighttime temperature above freezing, (optimal temperature about 38F),
If one parks their car on the grass,(not necessary though),
Dew will form on top of the car. This dew will evaporate until it absorbs enough energy to bring the surface to freezing. Ice will form above freezing temperature of the air.
This ice can be very dense and hard. Clear tracks of the convection from the ground of the ice on the vehicle are evident. This evaporational cooling and formation of ice can be duplicated in thd laboratory.
In the windless condition, the water saturated air at the surface meets the very dry descending air near the top of the car. This causes condensation and evaporation and cooling which causes freezing of the water.
Greenie theory, (that these supposed educated adults reiterate and recant), is that without the clouds, the car is exposed to the 'Black Sky', and the 'cold sink' of space in which energy just disappears or lapses into nothing.
Somehow the energy in the dew, knows if there are clouds. If so it just stays put. No ice forms. But no clouds, and it just lapses away the 6000 Joules per mole that must be removed from water at the freezing point to form ice.
Totally stupid and ridiculous that the clouds return the radiation to the dew to keep it from freezing also.
The concept of radiational cooling is entirely bogus. Ice formed above freezing is due to evaporational cooling. Its not both either.
It is integral to greenie theory that clouds retain a considerable amount of outgoing energy to bring 'average' temperature to what it is. They cant get enough chunks of Wm-2 from just the water vapor and co2. In their fraud, they must adjust how much 'retention' is occuring with preexisting GHGs, to supposed effect of anthropogenic GHGs.
The final answer must be that anthropogenic co2 affects temperature. So the math and physical science can be construed and squirreled around as long as it supports this preconceived conclusion, which means, you guessed it....
Carbon Regime and carbon tax.