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If it's 80F with clear skies, and the sun is at a 54 degree angle, what is the rate of temperature increase or decrease?

More generally, where can I find a formula or approximation that takes these three inputs:

  • Current temperature (degrees F)
  • Current solar elevation (degrees of arc)
  • Current cloud cover (as fraction)

and returns the rate at which the temperature is increasing or decreasing?

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I doubt that there is such a simple formula, because weather is a chaotic system, that means that it should be feed with huge amount of data, and it should be global (the whole earth) and historical (back to long time) to give you such results. –  TMS Dec 4 '12 at 16:28
    
Actually, I do have this data (isd-lite) and was going to run an analysis myself, but was wondering if someone else had beat me to it. –  barrycarter Dec 4 '12 at 18:42
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