
Noah L. answered 05/22/19
High School and College Tutor Specializing in Sciences
It's largely the bottom-up effect that you have cited, that being: the grazing animals urinate and defecate as they eat, subsidizing the field with nitrogen waste, water, the undigested fecal matter, and bacteria from their gut. This would likely have a cascading effect upwards through the soil and plant communities. (You can see this effect in places where dogs have urinated, as those patches tend to taller in growth).
In addition to this, there is also a tilling effect of the animals trampling the ground as they eat and walk, which aerates the soil.
I work at a prairie, and the manager considered renting a flock of goats last year because the benefits were significantly better than the machine mower (except that the cost ended up being prohibitive).
Good luck.