Works in Civ 5 doesn't it?
LOL. Yeah in a way it did. However, you can see what would happen right. You can't have a society like this be sustainable for very long without due to growth. If there aren't enough resources to sustain growth, then only a few options are left. 1. a certain number of people will have to leave the 'island' to find another 'island' and perform the same surveying prospects as the original island or 2. either expansion will have to occur which means that finding new resources will become an imperative to support that expansion, or 3. negotiate trade collectives for resources to support your expansion with other 'islands' or 4. not allow or highly limit growth of your society which wouldn't be a pleasant alternative at all since it would require either culling the young as in newborns or culling the older residents or both to sustain the numbers required to maintain the same resource usage rates.