Sorry Edward, I continue to disagree with you on this. Common law does not say that you can't crete a hazard, full stop. The acting reasonably and foreseeing harm, in my view, can be exercised by giving fair warning to the tree owner that the right to self--abatement may leave the tree unstable and allowing then time to take independent advice, anticipate the risk and deal with it in a timely fashion.
It is a thoroughly established principle of law that branches and roots can't establish a right to be in someone else's soil or airspace just because that person tolerated it for a while. The roots and branches have never got the right to be there. The tree owner doesn't need to avoid it happening but he does have to accept the consequences of them being removed by the neighbour. Any other answer to this question is (i) a legal absurdity that conflicts with long-established case law (ii) a practical impossibility that society couldn't countenance.
Gary's balcony analogy illustrates it well, up to a point. The difference with trees is that we all live in a world where trees do what they do, and encroach. This differs from the deliberate building of a balcony and supports on someone else's land. If it were a bulding that encroached, the remedy would not be self-abatement, it would be to get a court to declare that the balcony shouldn't be there and that the 'builder' should remove it on pain of contempt of court and the harsh punishments that follow from that. Otherwise it's a good analogy. The principle are the same, the remedy is just a bit different.
I have in teh recent past admitted that the tree situation might require a court order for the tree owner to abate rather than the 'warn and then self abate' scenario. I adnmit that because unlike the rest of the logic in this there is no clear precedent, whichj would only be clarified by a case for negligence due to damage or harm caused by a 'warn and then self abate' situation. But the principle remains unassailable (it is not my principle, it is one of stare decisis). The encroacher can never acquire a right to encroach and must either suffer self-abatement or abate, even if the consequences are subsequent failure of the tree. Like the balcony, the only question is the nature of the remedy. And in turn, that might depend (as I may find time shortly to explain) on whether the encroachment is actionable or not.
I implore anyone to explain why the aforegoing is incorrect. Not disagree with me full stop, but explain the logic and the legal standing of that logic. I am willing to be proved wrong and will admit it if I am wrong. But I continue to believe that we all could benefit from clarity and I present the argument for that objective alone.