Toomre diagram for the planet hosting and stars without planets. The red squares and blue triangles represent stars with Jupiter- and Neptune-mass planets, respectively. The magenta circles and green asterisks refer to the high-α metal-poor (chemically defined thick disc) and high-α metal-rich stars without planets, and the black dots refer to the chemically defined thin disk non-host stars. Dotted lines indicate constant peculiar space velocities, and 100 km s^-1.