Hard to tell how much is from what killed the tree, and how much is from the tree being dead... rather like trying to autospsy a badly decomposed body. If the patient died from septicemia resulting from letting gangrene go untreated, would you be able to tell 3 months after he died? That's a gross analogy, I realize, but a tree will often develop a lot of rot from a disease or insect problem, and once it is dead that is going to accelerate... so you'll see all this damage from the insects, fungus, etc. that attack the tree while it's stressed and continue to destroy it at a faster pace as it dies. A lot of that will be incidental to whatever set the tree into decline. Not unlike a very sick person catching pnuemonia while in bed for the flu.