Grasslands and grazers evolved together in the world's seasonally dry and arid (brittle) environments. Healing this land usually involves managing livestock to perform the ecosystem functions once performed by wild animals. This works even on severely damaged and eroded land, and in places where no topsoil remains.
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Grazing as an ecological tool (articles) lists links to in-depth coverage of this still-controversial subject.
Improving soil health and building new soil (articles). Soil health is vital to ecosystem health. How to use managed grazing to promote new soil formation, up to several cm per year.
Working with soil life (articles). Soil organisms, particularly fungi that help plant roots absorb nutrients, are vital to maintaining soil health. The organisms present affect which nutrients are available and which plants can grow and thrive. Soil life can be seeded, its activity measured, and its health promoted by good management.