  We realize a dynamical decomposition for a post-critically finite rational
map which admits a combinatorial decomposition. We split the Riemann sphere
into two completely invariant subsets. One is a subset of the Julia set
consisting of uncountably many Jordan curve components. Most of them are
wandering. The other consists of components that are pullbacks of finitely many
renormalizations, together with possibly uncountably many points. The quotient
action on the decomposed pieces is encoded by a dendrite dynamical system. We
also introduce a surgery procedure to produce post-critically finite rational
maps with wandering Jordan curves and prescribed renormalizations.
