When a hair is forcefully torn from the dermal papilla ( the part that nourishes the hair), the resulting injury causes an increased blood supply to rush to the area to feed and repair the injury to the structures in the follicle. It then follows, that over time, repeated waxing will cause hair to rebuild a deeper, stronger, darker hair to replace the one that was yanked out.
Waxing the face has unfortunate consequences. You are stripping the fine (vellous) hairs, that nobody really notices, along with the coarse dark hairs. Repeated waxing of these fine hairs causes it to coarsen and grow darker. What was not a problem before can now become a huge problem in the future. The face has the possible capacity of having 1,000 to 5,000 follicles per square inch by some accounts. Repeated waxing can and does cause a real disaster later on even if you stimulate only a fraction of those follicles. After any injury, including hair follicles, our body is programmed to defend and mend itself. When a good portion of the follicle is torn out each time, this causes the follicle to reconstruct itself a little sturdier and with a better developed capillary system. A good blood supply feeds hair.
As a professional electrologist, all of the said above translates into what I see on a daily basis. Women come to me years later with the real nightmare of coarse, dark, deep hair on their upper lip and chins that no longer respond to a simple waxing at their local hair salon. It is a real mess. It takes more time, higher intensity levels on my epilator and thus, may be more painful for the client as we battle through this forrest of hair. Within a year, we win the battle together to permanently destroy the hair and everybody is happy.
That is why it is advised here on hairtell, often, not to even start the waxing game on the face unless you are willing to pay the price later down the road.