If the trees are close enough to the pond that it will require heavy equipment running over their roots (think of roots going out from the tree as far as the branches go out) then remove the tree. It will most likely die anyway from the heavy equipment running over the roots. Maybe not right away, but I've seen trees die up to 7 years afterwards........

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3/4 to 1 1/4 ac pond LMB, SMB, PS, BG, RES, CC, YP, Bardello BG, (RBT & Blue Tilapia - seasonal).