I rather see a tree with Ivy then no tree! Ivy doesn't strangle ... read more....
Ivy http://www.arborecology.co.uk/article_forf.htm
The issue of ivy and trees is one of those matters where it is all down to personal opinion. To some, it is a pernicious weed that smothers the natural form of trees and on which constant war must be waged. To others, it is an essential part of the wildlife habitat, providing shelter and food for a diverse range of different organisms.