How long do you think it would take a Dwarf to really cut down a tree, he wouldn't take only 3 hours, it would take more if he was a beginner too...
Well, how long would it take a human to cut a tree? A strong human, with an axe, could probably fell a tree (thinking about a tree with maybe a foot radius in its trunk) in less than an hour; two people with one of those double saws, less time. Taking the branches off and chopping it into maneuverable logs would probably take a couple of hours more.
It really depends what kind of task we're trying to do. If I'm trying to get enough wood to make a table leg or a mug, I could probably just find a thick branch and have it off the tree and stripped of bark in less than an hour. If I'm taking down a large tree and splitting it into planks or logs of roughly similar size, that could take a good 8 hours or so.
Also, if a tree is very thick, perhaps it could take longer to fell but less time to cut workable wood from afterwards.
I guess it really comes down to how much you think we should be able to do with a single log. If a log can make something big, it should take some time to cut; if a log will only make a handful of wooden jewellery, it shouldn't take as long (unless the artsdwarf is being exceptionally picky).
All that said, I'm just estimating as an inexperienced and unskilled outsider to proper lumberjacking and woodcrafting.
I think that for a week, we should post a schedule for each day, but keeping alternatives to accommodate random rolls.
"If I mined out the cave, go pick herbs. Otherwise, continue mining."
^ Plus the axe is a crappy copper one. That's not a good thing at all.
I think that's a good option to have, but there will still be emergency cases where the situation changes and your dwarf would react completely different. For example, if a miner strikes a natural cavern full of wealth or monsters, the entire population of the fortress will likely react to that.