I'm aiming to run some rope across the tops of several small trees, and I want the ropes to rise up with the trees. I'm concerned that, rather than raising the rope up with the growth of the tree, the rope will stay near its starting altitude, and the tree will just grow around the rope.
If the rope won't stay near the top of the tree, what about putting a hat on top of the tree and tying the rope to the hat? Would some kinds of hats be better than others? For example, if I use a hat which is too restrictive, the tree might just grow around it rather than pushing it upward, but if I make it too loose, it might be too easy to blow off the tree.
Additionally, suppose the rope or hat is heavy. Are there any good resources indicating how much weight a tree will "lift" by growing (rather than simply growing around the weight)?
If the answer depends on the type of tree, please name and assume the use of a species which will maximize my goals -- tall, relatively fast growing, and able to raise this rope, regardless of climate.