It is understandable that Satoshi Nakamoto left the forum at freewill but the head administrator of the forum, is it by the person with most activity, by election or by appointment?
There wasn’t an election or public appointment; it was more like an internal agreement among them. The activity isn’t super significant, but it’s safe to say they’re the backbone of the forum. And Theymos is still overseeing everything, making sure this community-based forum keeps running smoothly.
and how is the position moderated? since the forum has no owner after the disappearance of Satoshi Nakamoto. My reasons for asking these questions is because i am amazed at how well organized and unique the forum is, even though it doesn't have an owner again (after Satoshi Nakamoto left) since Theymos stated and i quote that the forum is now owned and dedicated to the bitcointalk community in general.
Theymos appoints the local and global moderators.