> According to him, if the leguminous plants whose reproduction is stolon-based are adequately managed in the pasture, they will persist there. "In desmodium's case, the solution is to have the cattle graze it when the plant height reaches 30 cm and remove the animals when the average height is 15 cm", he recommends.
The risks associated with over-grazing something like this makes me think it would be ill-suited for anything but management intensive rotational grazing type operations. And even then it seems a bit risky.