Here in hurricane or cyclone alley we have always recommend use of a restraining weave embedded in green roof soil media.
I like the thick three dimensional weaves of non-woven geogrids. Those offering multi-axial reinforcement are even better. However sustainability probably lies in coir or hemp and not in the nylons and polypropylenes.
Regardless, three dimensional weaves have a huge impact on erosion control for green roofs! Check out this video!