Here in our private woods, an overgrown farm that is slowly reverting to native deciduous woodlands, we encourage the growth of native edibles and try to remove as many of the invasive non-native plants as possible. Although a few, like wild asparagus, we leave as they don't compete well with the native plants anyway. We've even helped spread a few natives, by moving tubers or seedlings, and by planting native species seeds.
After some heavy-handed use of a brush cutter to remove significant areas covered by wild rose thickets, this year Hopniss, Jerusalem Artichoke, Greenbrier, Raspberry, Hog Peanut and Ramps have made a showing or increased their populations. Also, new Sassafras, Hazelnut and Black Walnut trees are sprouting up. There are still plenty of roses to munch on, but the explosion in diversity from removing the over-abundant rose plants from some areas is encouraging.