You can keep sawing at the same sawpit over and over without chopping down more wood.
To replicate just chop down one tree, saw it. Now you can still access the "saw log" action by holding "e", even though theres no log there.
I would post a picture but i am not allowed by the forum it seems.
Edit: Cathars are way too easy to farm for renown and xp. Really unbalanced.