I'm not familiar with the terms "Appliction-distance photometry" and "Luminance-field photometry"
But if it's point source, then light falls off with the cube of the distance, as it dissipates spherically.
If your close to a fluorescent tube, though, the light would dissipate cylindrically. That would lead to inverse-square instead.
If you had a large planar source, the light would remain constant in near-field.
However, as you get further away from any source, it will eventually look like a point and therefore the light will eventually start dissipating inversely to the cube of the distance again.
Make sense? Hope that helps.