On paper, the peninsula is divided into four areas of roughly equal size (the corners, so to speak), each one presided by one of the traditions (bats, bugs, oozes, mushrooms), and the crest of the order is divided in four as a reminder of that. It's said that there were six families for each tradition, but clearly, retelling after retelling their history, the number was rounded up.
In fact, things are less neat: while there is some concentration of traditions (more mushroom rangers in the southeast, for example), families may have their preside totally, or in part, in another corner. The various rangers' families value collaboration among each other, and if some overlapping occurs they'll find a compromise. The various tunnel levels can create bizarre maps, with two or more families sharing the same area, but at different depths.
To foster cooperation, rangers will send their young members to visit other families during their 18th year (it's common for Inferal to have a gap year, that for the nobles take the shape of a grand tour). This is also a go occasion for marriages, that will bond the ranger community even more.
These unions have a price: changing areas will change the personal attunement to a cave. For example, a mushroom ranger that marries in a faraway area may be unable to grow the same amount or kind of fungi.
So even if general knowledge is shared, some aspects (the ones pertaining to the bonds, most of all) are too site-specific to create mixed traditions. (there could be exceptions, of course).