Aziumthally averaged H₂O ice-to-gas mass ratio of the CPD and material surrounding the embedded planet. The CPD extends to ~0.4 R_Hill. We based the calculation on the disk streamline, and thus the hatched region shows where the streamline did not visit during the simulation. The traditional ice line, where the abundance of gas and ice species are equal, exists above the disk midplane, suggesting that no ice lines exist in the CPD.