Thiessen Polygons method only is better for valley and flat land in my experience, if you have a dense rainfall station are available then you can use normal or Isohyetal method for better rainfall analysis in mountain and high elevation area.

You may try Universal Kriging (UK) using elevation as a co-variate. Temperature has a very strong correlation with elevation.

Second option: You may derive daily or monthly or seasonal lapse rates and distribute the point observation using DEM and derived lapse rate.

I agree with Amrit's answer. However, you might want to check the spatial variability of the precipitation. If the variability is high then you do not want to use the Thiessen polygons method.

Amrit Thapa Thanks for your suggestion.

Please let me know how to perform UK method and how to derive lapse rates. I have no idea. Please share youtube or any other step by step guidelines, if available.

Regards

Naveed.

Dear Naveed,

If you have more than two stations with larger elevation difference, you can easily derive precipitation gradients/lapse rates.

For your reference, please go through following paper.

Article The importance of observed gradients of air temperature and ...