GPS location can be spoofed, just so you know.
If a user were to quickly iterate through brute force or smarter they could quickly narrow down exact location and claim it without leaving home.
Good point, thanks. Tentative answer:
At the beginning when the game is not popular, no cracker will bother.
If the game becomes very popular, new deposits will be claimed by legit users faster than a cracker with reasonable resources can grab them.