Perspective is science of describing visual form and volume on a
flat space. Although almost exclusively taught as linear, the most
correct representation is curvalinear, due to the fact that the
eye, including the retina is curved, as it the earth, not flat.
Perspective offers "realism" for the viewer's mind to register. It
is a clear break from symbolism.
Perspective is aided by color temperature, a variation in color
relationships designed around increasing orange or blue for warm or
cool respectively. The portrait is considered "most difficult" due
to not only the first obstacle, spacial relationships, but more
mystically, color temperature. "Skin color" has warm reds, Oranges,
yellows and cool purples, greens and grays. Where you place these
variations affects the perspective of form.
The short answer is Perspective helps create believable form
with distance. Variations in color can create depth perception over
very large atmosphere or very small areas such as the distance from
cheek to lower eye lid.