WTF is this you're showing me. A newspaper article from 2014 that has a couple of tuechters saying the want to be independent. Do you think that negates maritime law? You're a muppet mate.
As previously pointed out to DuMDum a wee while ago when he was coming out with this pish, the Shetland Isles sit in Scottish waters. IF they were ever to become independent of Scotland then they would be classed as an enclave and as such would only own the sea six miles around their islands. I dare say there are oil fields within those limits and good luck to them IF they become independent and manage to get a lift out of them.
