Top row: density functions projected in X–Y plane with Z = 0, where ρ₀ is chosen to be 1. Bottom row: relative possibility of supporting a certain profile as a function of metallicity. The dashed red line indicates the same possibility of supporting two profiles. For each [Fe/H] bin, there are 15 bins in the X direction, 15 bins in the Y direction, and three bins in the Z direction.