Radial profiles of the vertical geometrical optical depth of a steady-state debris disk stirred by embedded Pluto-size objects (self-stirred, black lines) and by a planet in the inner cavity of the disk (planet-stirred, gray lines), and at different time instants: after 0.1  Gyr (solid), 1  Gyr (dashed), and 10  Gyr (dot-dashed) after the beginning of the collisional evolution. The lines of the planet-stirred case have been scaled by a factor of 1.1 for better visibility.