Glad to see this, a great related TED talk by Allan Savory that introduces why this is true can be found here https://youtu.be/vpTHi7O66pI
A couple good summaries:
http://publications.lib.chalmers.se/records/fulltext/244566/...
https://www.ars.usda.gov/ARSUserFiles/4472/RANGELANDS-D-13-0...