  The theoretical treatment of jet quenching lacks a full description of the
interplay between vacuum-like emissions, usually formulated in momentum space,
and medium induced ones that demand an interface with a space-time picture of
the expanding medium and thus must be formulated in position space. In this
work we build a toy Monte-Carlo parton shower ordered in formation time,
virtual mass, and opening angle, which are equivalent at leading logarithmic
accuracy. Aiming to explore a link with jet substructure, we compute the Lund
plane distributions for the different ordering prescriptions. Further, we
investigate the sensitivity of ordering prescriptions to medium effects by
counting the number of events eliminated by a decoherence condition.
