Full scientific name1 Suaeda Scop. Currently classified as a weed No This genus is in the family: Amaranthaceae Family The genus Suaeda includes: Suaeda fruticosa Species Common names alkali seepweed Suaeda glauca Species Suaeda maritima Species Suaeda also includes weed records for the related species Suaeda Forssk. ex J.F.Gmel..