OvV_HN wrote:
"As soon as the territorial waters of a nation is reached, the clock is set to the local time of that (part of the) nation."
Given this practice, I concur that we can accept local time to be well-defined for an uninhabited location. Whereas for inhabited locations we attempt to track what the inhabitants' wall clocks show, for uninhabited locations that have territorial waters we'd have to track what ships in those waters (that accept the use of such local time) set their clocks to. That's the closest available equivalent principle. I don't think this means we should entirely delete the reference to population in the Theory file. Population is still a relevant qualifying feature. We've identified a second qualifying feature (ships visiting territorial waters), which should be explicitly discussed alongside population.
The central place cannot be the largest inhabited place, but could be the geographic center of the island or a landmark of some kind (mountain top, abandoned station, etc.).
We'd also need to pick a location that has a well-defined and distinctive name, so it'll need to be a clear geographical feature, not just an arbitrary point. An entire island or a station would likely be top choice. Necessarily decided case-by-case, of course. -zefram