There are studies, but you should know that, in the short term, it will never be as advantageous to grow trees as it is to grow corn for the production of ethanol, for example.
I believe you are considerably off topic here. We were talking about phosphorus in automatic dishwasher detergents, and now we have moved on to agriculture and ethanol. I don't know how your committees work, but I certainly would like to see the problem of phosphorus concentrations in automatic dishwasher detergents resolved.