Canopy—highest layer of trees, plan spacing correctly to allow enough light through to understorey
Small trees/shrubs—between & below canopy trees
Shrubs—mostly shade tolerant
Herbaceous perennials—die back in winter, contribute to ground cover
Ground cover—mostly creeping carpeting plants, with some clumping examples
Climbers—require sturdy trees to climb
Rhizosphere—root bearing plants and fungi