Depth of footings is related to vertical loads. A retaining wall footing needs to support its own weight of course.However, and this is the reason most brick or block retaining wall fail and start leaning is because people make footing that are way too narrow. Considering the massive horizontal forces a one meter high wall will eventually endure, think very wide footings and very well reinforced concrete, linked to vertical rods and core filled. And don't forget draining, a lot of it.