Why in Portuguese to say the climate here is different it is
O clime daqui e' diferente instead of saying
O clime aqui e' diferente
From were the preposition de came from ?
Because what we get is the climate of here and not the climate here.

Question

Answer

Hello! 
I'm a Brazilian Portuguese speaker, and here's my response:
"Daqui" brings a broader, more abstract idea, meanwhile "aqui" is something more objective. 
I hope I've helped!

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