Originally posted by Nerevar:

no tame needs open sky. unlike crops.

Lox will destroy most structures so its best to pen them with earthen walls. Lox will not breed if there is a roof over them that is too close. They use the tall troll model so roofing an earthen wall won't cut it unless you also dig down a bit too. Lox will also destroy any support structure tall enough to roof them in so open pens using earthen walls are the way to go.
https://steamcommunity.com/sharedfiles/filedetails/?id=2910785269