I am very much looking forward to having a full-fledged grocery store in the square, but I'd never consider the area a "food desert area". Right across from where the new store will be is McKinnon's, a much beloved deli with inexpensive meat, prepared foods, fresh produce, and dairy. Dave's Fresh Pasta is right in the square, with specialty foods of all sorts. A five minute walk from the square will get you to Nimah Market, Food Land and Pemberton Farms. It's not at all hard to find decent whole foods in the Davis Square area.