I wish to understand the mathematical relationship between the land surface temperature and air temperature.
Check this similar post:
https://www.researchgate.net/post/How_to_calculate_Air_temperature_from_land_surface_temperature
There are many empirical formulas to compute this correlation.
The below materials can be useful:
Article Evaluation of the Relationship between Air and Land Surface ...
https://www.sciencedirect.com/science/article/abs/pii/S1470160X12000167
Dear collegue
These two papers will help you:
https://www.researchgate.net/publication/335948854_Derivation_of_air_temperature_of_agricultural_areas_of_Morocco_from_remotely_land_surface_temperature_based_on_the_updated_Koppen-Geiger_climate_classification
https://www.researchgate.net/publication/320168208_Relationships_between_the_three_components_of_air_temperature_and_remotely_sensed_land_surface_temperature_of_agricultural_areas_in_Morocco
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