If the Chinese discovered America

If Chinese colonies were set up in Western America, would they have eventually declared independence? Or would we see a great Chinese empire by now?
 
West to East.

Settlement would have been from West to East. Due to the desert east of Calafornia, water would have been more apreciated.
 
So you are saying, it is likely some kind of aqueducts would have been built over the great western plains to supply water to nearby villages etc...
 
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