I'm battling tree of heaven on my ground. It is nasty in that it is like tree sized dandelions. The recommendation from the state forester was to spray a 3 foot section of the trunk with a mixture of 50% diesel fuel and 50% Garlon 4 (My memory is a little fuzzy on the exact herbicide.) Being a guy with power tools, I opted for a more forceful approach, i.e., the chain saw and brush cutters. While that is satisfying and can bring large specimens down quickly (I had one that was 24" in diameter.) it requires a follow up visit with glyphosate. Once I cut the trees, new ones quickly erupt from the root structure. I spray those with a 2% to 5% glyphosate solution. That seems to be the final blow for about 95% of the subsequent growth. I then come back and spray the new growth with more glyphosate and that seems to be the end of it. I had a bad infestation so I'm still after them and will be for a couple more years. Going after them quickly. They will take over and basically eradicate almost everything else. I've got enough left that I will probably try the recommended basal treatment but I seem to remember that that approach is most effective for smaller specimens. HTH.