"On the topic of barberchairing: I was taught during training to always use a sap wood cut on both side of your facecut, specifically to avoid barberchairing. The theory goes that because of different structures of sap and core wood, different forces are generated when they hinge together. The sapwood cuts result in a corewood only hinge.
I do the heavy leaners in the same way, only then I bore cut what would normally be the end position of your back cut. Make the hinge the widht you want it to have (1/10 of diameter or so) and cut towards the back end (where you would normally start your backcut). Just before the tree drops, the woodfibres are loaded lengthwise, and in that direction they are incredibly strong.
Have always used this technique and those few occasions (2 in 13 yrs) where a barberchair did occur, it was in trees that only had sapwood left, no core."
Some thoughts.
In the NW for generations it has been taught that if you're going to do your back-cut - from the back - on a tree with BC risk do a triangle set-up that nips the 'corners' too. Then with speed and power stay with the cut even though she might be a poppin'.
More commonly, on the high risk 'chairs its bore the back now.
Occasionally, its do a face center, nip the corners and bore any back-cuts.
I've only had a couple 'chairs where I was cutting 6" ish LP (Snow bend - over 45 degrees) very slowly to try and create a BarberChair. Very safe set-up with other trees right there that I was protected by. Just studying. Pretty minor actually.
One of the reason for so very few 'chairs is my world of falling is almost exclusively dead/working on being dead/hazard trees on fires etc. Many are rotten in the center. I can't find any instances of a center rotten tree barber chairing on prior requests here. Giel, sounds like you've had that happen twice.
One of the reasons I've felt that I was 'chair free was what an old cutter explained to me. "You break up the continuity of the hinge you cut the chance of a vertical split."
Also explained to me was the concept of the smallest hinge possible immediately prior to it starting over reduces the risk of a BC.
In a large green tree with a truly heavy lean one cannot do a deep face as specified by pdqdl - deeper notches. The bar pinches in a face too deep on a heavy leaner.
Lets say one has put in a face as deep as a heavy leaner allows. Then you bore in about the middle of the back-cut and cut toward the hinge till the bar starts feeling pinched. Problem, too much hinge left on this very heavy leaner. Solution should have been to make a face center bore and also nip the corners prior to boring the back. (Full disclosure: I've only done this twice - also with a chain wrap.) (I was really glad I did.)(One of these trees I went off to the side for a good pee before any cutting - When I released the back the ground below me shook too and I moved back about 10 years in time based on my exit speed.)
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Part of the reason I'm concerned about not removing center hinge wood too is how Larch behave. Larix Occidentalis ; Western Larch aka Tamarack in the northern mid-west. These trees were used for split rail fences throughout the west by the pioneers. Because they could easily split fence lengths when dry. (The wood also resists rot very very well.)
A tree species that splits well, in the condition (dry) where it splits the best, has to be taken more seriously. No brainer there.
{Also:
Larch are tall (over 100' is common in trees 18" diameter) and one of the commonly not discussed factors in barber chair risk is the height of a tree. The taller a tree is the more leverage it has. Greater force on the hinge area means greater risk of a 'chair. This greater force can be sponsored by wind, heavy green tree weight, strong lean, other tree leaning into, excessive wedging etc. But don't forget tree height.}
Back to cutting a dead larch. The sapwood is dried out and behaves like the more brittle less flexible heartwood in a green tree. Yet these things really want to BC. That is the nature of the wood. (Overall, I would suggest that sapwood - heartwood arguments are very very minor in dead wood that has had time to dry.)
I would not focus on any one size fits all cutting analysis especially with regard to wood characteristics.
Suggestion: No one should try for a specific face or hinge size from tree to tree or species to species.
Stay flexible : but don't go limp.