  We classify the forward dynamics of all (plane) tree-valued Markov chains
$(T_n,n \geq 1)$ with uniform backward dynamics. Every such Markov chain is
classified by a decorated planar real tree. We also show that under an
inhomogeneous rescaling after trimming leaves $(T_n, n\geq 1)$ converges to a
random real tree in the Gromov--Prokhorov metric. This generalises and sheds
some new light on work by Evans, Gr\"ubel and Wakolbinger (2017) on the binary
special case.
