The treaty was made before the Andes were fully explored, and so it doesn't handle some interesting edges cases like the Southern Patagonian Ice Field. The field has the property that when rain falls there, it freezes and goes nowhere!
[0] https://en.wikipedia.org/wiki/Boundary_Treaty_of_1881_betwee... [1] https://en.wikipedia.org/wiki/Southern_Patagonian_Ice_Field