This is actually a very interesting topic and incidentally I am a logger (not really called lumberjacks anymore, but I am hardly offended by the term).
The first thing to know is that trees are roughly made of thirds, so its crown will be about 1/3 (leaves or boughs) will be about 1/3 its height, so in your case about 250 feet wide. From ground to the crown, the trunk (also called the bole) semi-self-prunes on bigger trees as the crown shades out the light and so you get the main part of the tree free of branches. The last third part of the tree is the
root system and is about as big as the crown, you just cannot see the vast network of
roots. However, the roots may, or may not go deep, it all depends upon what they have for soil, and what kind of tree it is. It does not matter if it is a softwood or hardwood, some are easily to stump like
apple trees which have such shallow roots a person can practically push them over. That is not going to happen with an
Ash though which puts a tap root into hades that lucifer grips ahold of when I push on them with my bulldozer! White pine are very similar, but an eastern hemlock 3 feet through will push out easier then a ten inch White Pine. Regardless, the roots are in a diameter under the tree about the same diameter as the crown. They call this the "dripline" which is readily seen on a misty day. The circle where the dry area under the tree starts is about where the tree roots start, so again, about 250 feet in your tree.
Now on to the fun stuff like dropping a massive tree without ruining it. This depends on how you want to fell the tree. You could write about a massive machine that fells the and delimbs the tree called a
Feller-Buncher, but honestly they are more suited for numerous, but smaller trees. In the logging business, the big trees are still hand felled by chainsaw. Because of your selective thinning requirement, I assume you are talking about hand felling trees with chainsaw.
For this we have to go back in history on how that very thing was done! Obviously you can go with handsaw and axe, or a very big chainsaw. For a massive chainsaw, you would only need the saw to be a two person saw with one guy holding the bar end of the sawblade, and the other guy holding the engine. Old chainsaws were two person saws!
Chainsaw or with axe and crosscut saw, the tree first must have a pie shaped cut in it in the direction it will fall towards. In the old days this was a flat bottom cut with a 45 degree top cut, made about 1/3 of the way through the tree. Today we do it a bit different and make a 20 degree bottom cut sloping upwards, and then a top cut going down at a 70 degree angle. This is called the
open faced notch and a lot id on the web about it as it is much safer for loggers to employee.
With either type of notch, a level backcut is made on the back of the tree with a saw, a small wedge tapped in, then it forces the tree to fall in the direction of the notch. Keep in mind, an inch of lift by a wedge at the bottom of the tree, would pitch a 800 foot tree by fifty feet or more at the top. As soon as the center of gravity of a tree is changed
enough, it starts falling by itself.
But how would a logger keep the tree from shattering after falling so far and with so much kinetic
energy (about 120 mph from 800 ft)? Easily, by doing what they did back in the 1600-1700's here in Maine when ships masts were cut for the Kings Navy. Loggers would cut all matter of smaller trees, make cribbing and would pile it all in front of where the big tree was to
land. Basically it was a big brushy, cushion of inferior trees that would absorb the impact when the tree landed.
Here is one part of your book though that you may not have thought of. Beyond the requirement of using massive equipment/or hundreds of oxen to move the massive tree to a river where it could be floated to a sawmill, an 800 foot tree will take a wide swing on any turn. Today in Maine, many towns that were close to rivers or shipbuilding ports like the town of Union Maine, or Gardner, Maine, had town centers. These were not parks, they were devoid of any trees or buildings so that as the masts came through town, they can be swung around corners. Today trees have grown up and gazebos put in, but that is why these triangular parks are there.
Now this has been a ton of writing so I will stop here, but I look forward to answering any other questions you may have.