It is intended that there be a minimum of ten different Lifehavens each of which is totally capable of reconstituting a decent life here on Earth after a severe atomic war. Because, there are many unknowns that will arise which nevertheless must be successfully dealt with, it is best to have grossly different coping strategies with each of the Lifehavens. The one on Adams Island would be relatively easy to construct, and maintain, but it would also be relatively easy to attack, capture and take over or destroy.
Bouvet Island on the other hand has some advantages as a Lifehaven but the advantages lie in the very difficulty of getting to it, and onto it once you do get there. Those difficulties are turned into advantages when the residents are trying to defend the Lifehaven from a well provisioned group of dedicated people who wish to crash into their survival cave.
Bouvet Island is the most remote from solid land of any place on Earth. It has 100 meter high steep cliffs on all sides, as can be seen in the photograph, which makes it very difficult to get to the center. It size is about 9 km by 6 km and about 49 km² and 780 m high.The weather at this location is cold, frequently stormy and often there are ice floes surrounding the island. It is very dangerous for even a few people to go ashore from the sea, and much of the time not much better from helicopter. During construction of the Lifehaven it might be possible to moor a ship nearby, and set up for transfer of construction materials to the minimal shore, but getting them up onto the center might be very difficult. An alternative is to use a helicopter to transfer materials over from a ship. Techniques might be worked out for doing this even in difficult conditions by using dangling lines and essentially releasing loads to the surface on contact without too much control as to exact locations. The helicopter would only land and take-off occasionally to avoid those more difficult maneuvers as much as possible.
The island is the top of a shield volcano which is not entirely inactive. It is covered with thick snow, ice and glaciers. As bad as all of this sounds it might not be too bad a place to live once adequate housing had been constructed deep under the rock and ice where the weather would have no effect. It would probably be more difficult to construct a Lifehaven here than most places on Antartica, but it would probably be more difficult to attack by a small group than almost any place on Earth if it were defended.
Military interest in this island is strange. There was an officially unexplained atomic test nearby in September 1979. Its military interest lies in the fact of its remoteness, which is desirable for secret bomb tests. Here is a photo of Chuck Brady, an American astronaut who visited Bouvet island, seen here on the beach a few years after the atomic bomb explosion doing some “radio experiments” but he probably took a few soil samples back to the radiation labs. The photo shows a rock cliff behind him which appears to be a standard volcanic lava rock, and thus it is well known how to put a mine into it.
Because of the year round low temperature it would be a good location for a seed bank, and because of its remoteness no one is going to come here looking for a free meal. As Lifehavens go this one would be expensive to populate with a thousand individuals, and would function okay with a small staff of genetically disparate fertile men, and fertile women, but with a good sperm bank. This location would require a couple of very reliable, and seaworthy boats to bring these survivors back to the continents when a few years had passed.