Really unfortunate. It sounds like they did stay put for a week -- but they were some distance outside the search area, which I gather has some pretty distinct boundaries (mountain, river, creek, railway line). Pretty spiky country, though, if the maps are any indication.

At the great risk of being an indelicate boor, I have to wonder why the deceased lost his life so quickly. They had fire for the first week, and water (I suspect) is not hard to come by. All sorts of things can gang up: exhaustion, changing weather, hypothermia, perhaps underlying medical conditions. Again I don't mean to be ghoulish, but if there are lessons I can learn I would like to better understand what happened.