Mixtures of Bison, antelope, deer, elk and horses along with prairie dogs, rabbits, waterfowl and game birds occupied the midwest before (non-spanish) Europeans came to the US. Those mixtures grazing on the soil allowed the buildup of the famously fertile prairie soils. Such soils were a carbon-sequestration engine of significant proportions.
Killing the herds and breaking the soil for grains is what produced dust bowl conditions in the midwest. Exposed, those rich carbon topsoils dried up and blew away adding to our atmospheres carbon loads.
http://www.warnercnr.colostate.edu/frws/research/cook/cook/cookeff/Efficiency.htmCOMMON-USE STUDIES
In the mountainous ranges of Utah, Cook found that sheep and cattle grazed in common used 20% more of the usable forage than did either species singly. In southern Colorado it was discovered that goats and cattle used mountain-brush range with only a 5% overlap in their diets. Therefore, since available forage was about one-half grass and one-half shrubs, common use by cattle and goats produced almost twice the stocking capacity compared to single use by either species. In the shortgrass plains of northern Colorado it was found that a variety of grazing animals including cattle, bison, sheep, and antelope preferred forbs. The optimal grazing allocation of forage based upon animal size, plant species consumed, and topographic features used was 67% cattle, 20% bison, 12% sheep, and 1% antelope.
http://www.montana.edu/~wwwcbs/nutrbib.html# De Liberto, T.J. & P.J. Urness. 1994. Comparative digestive physiology of American bison and Hereford cattle. In: Proceedings of 1st International Bison Conference, LaCrosse, WI. July 1993.
ABSTRACT: We reviewed available literature on the nutrition of bison (Bison bison), and provided an overview of our experiments conducted during 1991-92 comparing the digestive physiology of bison and Hereford cattle (Bos taurus). Higher digestion coefficients of dry matter and fiber were found in bison than in cattle, when animals were given free-access to 4,5, and 6% crude protein (CP) rations. However, cattle were apparently capable of compensating for lower digestion coefficients by eating slightly larger quantities of feed. Rumen volatile fatty acids and ammonia nitrogen levels indicated that bison fermented ingesta to a greater extent than cattle, up to 12-hr after feeding. We found no interspecific differences in nitrogen retention on any of the experimental rations. However, serum urea nitrogen and salivary urea nitrogen data suggested more nitrogen was recycled to the rumen in bison than in cattle. We concluded bison digested low-protein, high-fiber feeds more efficiently than cattle, and this was achieved, in part, to a more efficient nitrogen recycling system in bison. (bolding mine)
In other words, bison get more critter out of the range and feed available.