Thanks for your question.
If the Land Registry title land is obviously his then the only way you could claim ownership of the land is by claiming adverse possession. Altough you have used the land for the requisite 10 years in order to be eligible to claim your neighbour would obviously be free to object to this and you would enter in to a dispute over which he could be fairly confident of winning I'm afraid unless you can show that it would be unconscionable for you not to be registered.
I think you are going to have to stomach whatever deal you can arrange with your neighbour. As the land is his he is free to cut down the tree providing there is no Tree Preservation Order registered against it at the Local Authority.
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