= Planck feedback
{title2=$\partial(\sigma T^4)/\partial T=4\sigma T^3$}
The Planck feedback is the stabilizing increase in outgoing thermal radiation when temperatures rise, with other properties held fixed. For a <blackbody> the local derivative is $4\sigma T^3$, so a colder emitter has a smaller absolute radiation increase per kelvin. The atmospheric response requires <radiative transfer>, and cannot be obtained by replacing the entire climate system with a single surface blackbody.
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