Estimating air temperatu daily average and range
 

Hello,

I am new to this group, I hope that somebody can help me with a hint on
the following question:

For a specific location on the globe, I have daily data of global and
diffuse solar radiation (on the horizontal), given as daily as well as
hourly values. I also have the monthly mean temperature and the monthly
mean temperature range for that location (i.e. only one temperature
value vs. a lot of radiation data).

Is there a method to estimate / approximate the variation of air
temperature in terms of _daily_ average temperature* and daily
temperature range**, depending on the radiation data?
In other words, given a particular day with its values of global and
diffuse radiation and given the monthly mean temperature and monthly
mean temperature range: would it be possible to estimate daily average
temperature and daily temperature range for that particular day?

* In this case: daily average temperature = ( Tmax + Tmin ) / 2
** In this case: daily temperature range = Tmax - Tmin

Thank you very much for your help!
Jens