ShadyStump
Imperial Masterpiece
Not arguing.This is an ambitious project.
I don't think the goal is necessarily a universal formula - that would be impossible - but a work drawing the connections between the various factors. Change one thing with a tree, there's a reaction elsewhere, though not always in a directly related system.
Some plants, you trim back the foliage, and the roots try to compensate with their own growth. On some, pruning the roots will incite top growth.
Yet, for most trees, this only interrupts the flow of different growth hormones, or the balance of water through the roots, so you get different responses.
So now we have lines drawn between foliage, roots, and water uptake, but where do they connect?