This isn't about changing the distribution of thermal energy.
That is exactly what it is, and you will never get a "temperature increase" out of it ... without violating physics, of course.
It is about energy transfer from radiation.
That's one of the many components comprising the distribution of thermal energy.
If you would prefer to
not waste time, start with your conclusion, i.e. temperature increases, and work backwards.
You claim an increase in Earth's average global equilibrium temperature.
This implies Earth has a greater amount of thermal energy.
How do you account for this additional energy? Earth is in equilibrium so no additional power is coming from the sun.
I'll tell you how you are going to attempt to explain the additional thermal energy: The Semantic Shuffle
1. You will first make the standard, obligatory opening claim that
greenhouse gas somehow traps more heat in a grand, virtue-signaling illumination to JPP warmizombies that you have no idea what "heat" means.
2. Once I remind you that heat cannot be trapped, and you try desperately to argue that "heat" is something that it isn't, you will abandon this doctrine for the moment and shift to claiming that what you meant to say was that greenhouse gas "reradiates" long-wave infrared, and causes a temperature increase, nevermind that this conclusion does not follow from "reradiating" long-wave infrared.
3. Once I remind you that asserting a spontaneous temperature increase
is asserting the creation of thermal energy out of nothing, which violates the 1st LoT, you will immediately assert that "
no one is claiming" energy is being created out of nothing, i.e. what you had just claimed, but that what you meant to say is that what you were saying previously about
greenhouse gas trapping heat is that it prevents some of Earth's thermal radiation from decreasing into space, which increases Earth's temperature.
4. Once I remind you that this is an egregious violation of Stefan-Boltzmann, which specifies that Radiance and Temperature always move in the same direction, which means that if you tell me that Earth's Radiance has
decreased then you have told me that Earth's Temperature has
decreased, not increased, you will immediately assert that "
no one is claiming" that Radiance and Temperature are moving in different directions, i.e. what you had just claimed, but that I need to understand what is going on in the atmosphere, i.e. where the
Global Warming is taking place, that greenhouse gas is "reradiating" roughly half of all absorbed energy back down to the surface.
5. Once I remind you that this is an egregious violation of the 2nd LoT, because the cooler atmosphere can never heat the warmer earth's surface, and that you have cycled through my entire signature, you will assure me that "
no one is claiming" that "reradiation" back down to earth is warming the surface, i.e. what you had just claimed, but that the absorption of the infrared by the atmospheric greenhouse gas is increasing the temperature of the atmosphere beyond what it otherwise should be. Jump to statement 3 and repeat ad infinitum.
So, anytime you are ready, we can get started. Please begin at statement #1
If the atmospheric composition changes so a wavelength that used to pass through and radiate into space now starts to be absorbed by the atmosphere the 1st law says the atmosphere must heat up.
This starts the process at Statement #3.
You might want to tell Planck that he can't use wavelengths when determining the radiation from a black body.
You have much to learn, grasshopper. Learn how to derive Stefan-Boltzmann and then let's talk.