My first thought was Poplar too.
When we bought our house,there was actually 25 Poplars the former owners had planted as a very tall hedge,we had shoots everywhere,some of the trees were halfdead.
We had to take them down(we meaning hubby and sons
),normally I don't cut down trees,but these had to go..I believe they are considered weeds in the Tree-World.
However if you have a huge property,I cannot see why you can't plant some more.