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I wish to predict leaf temperature (TL) from other variables. The energy balance equation I have developed, simplified, is

A = BTL^4 + CTL + D

Is there any way to solve for TL so I have an equation of the form "TL=...", preferably using an R-based package?

Seth W. Bigelow
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  • Is CTL a separate variable, or is that C times (TL)? (Maybe just use single letters for variable terms, like small _x_ for leaf temperature, to make the equation less confusing.) – LC-datascientist Aug 25 '21 at 21:13
  • Yes, it would be better expressed as A=Bx^4 + Cx + D – Seth W. Bigelow Aug 25 '21 at 21:28
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    If you are looking for an analytic solution for a quartic function: See Wikipedia: https://en.wikipedia.org/wiki/Quartic_function for the solution. For a numerical solution use the `nls()` function in R – Dave2e Aug 25 '21 at 22:24

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