There are few statistics to support permaculture.
Except maybe yield per acre. Or maybe calories per acre, as permaculturists tend to mix crops. Or maybe facts like the soil is further enriched every year. Or you don't need pesticides if you plant repelling plants like garlic, onions, and mustards next to more delicate plants. I dunno, there's not much to flesh out with this whole permaculture deal
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Bottom line: Make your hard data food procured, water required for farming, use of chemicals, cost to farm, calories per acre, and $ made from that produce factoring in the premium price of organic produce.