Answer: I don't think the saline water from your pool is going to do the roots of your birch tree any favors. I suspect you will see poor growth and yellowing/browing leaves early in the season, and a stunted growth habit. Since the tree has already suffered some damage from the hurricane and reportedly has never really recovered, I'd think seriously about removing the tree - or at least moving it to a better spot in the landscape. It may establish and grow well for you when it is not subjected to runoff from your salt water pool. Best wishes with your landscape.
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