That's true in the southern Peloponnese, too, John, where the best nuts come from several hundred metres up, and I suspect is pretty general in the extreme south of Europe, and in the eastern Mediterranean.
The commercial plantations that David mentions in France are at lower altitudes, and extend into the south of the Charente. There are several in the area of our house in SW France. Our own nuts there are never ripe at the time of our usual visit in September, so we sometimes pick a couple of kilos green, bringing them back to UK to pickle - but invariably, faced with all that tedious messy process mentioned by John, we leave them in an outhouse until we have to throw them out!
As David says, the nuts do fall when ripe, but are ripe still on the tree when the green covering starts to split and blacken.