The civilian population of the islands is 2500, the military population is 1300. The place is nothing but a British military base. The civilians live only in one of the islands with only very few in the other major one, the archipelago consisting of 200. The claim also include the Georgias and South Sandwich, both of which are not populated. But it doesn't end there, the claim includes all surrounding sea territory and sea shelf and all of its resources, wich is nearly the size of half Argentina. It provides a strategic control over the only way large ships that don't fit in the Panama Canal, such as aircraft carriers can travel between Atlantic to Pacific oceans, and it has been said by the British themselves it is a vital position for control over South America should they need to intervene geopolitically. The islands population is the British population and the British armed forces, they are not a separate entity on themselves, and the threat comes from the United Kingdom itself and its armed forces which are vastly superior to those of many South American countries and pose threat to the entire continent. And we've all seen what the UK and its allies (let's call it NATO) did in the Middle East and during the Cold War in places like Vietnam when they didn't liked local govenrments, literally obliterating smaller nations. Yup, I think that's plenty threat.