Most research indicates that the 3 dominant physiological systems that predict performance are VO2max, Running Economy and Lactate Threshold (see Joyner, M.J. J. Appl. Physiol. 1991, 70, 6839 for a good overview).
In general, maximal adaptation for each of these systems is obtained by stressing that system specifically on a weekly to bi-weekly basis.
1. The stress causes damage to the physiological drivers of that system
2. the damage caused inflammation (swelling/soreness in muscles) which is basically your immune system clearing out the damaged cells/debris
3. inflammation resolves with regrowth/adaptation of the system so that it is better able to handle near-maximal work loads
Some rules of thumb regarding proper training paces include:
1. Lactate threshold(LT): a pace where it becomes difficult to chat/talk during a run as your lactate threshold is approximated by ~ ventilation threshold (i.e.Tempo Runs, Half-Marathon to Marathon pace)
2. VO2max: more difficult to define phenomologically but generally approximated by a functional definition ~ 3k race pace (i.e. mile repeats)
3. Running Economy (RE): basically sprint-type workouts, plyometrics and forefoot running that maximize muscle strength, neural recruitment, lactate tolerance etc.
If youre interested in more info on the science you can find an infographic that compiles the scientific literature on this topic here:
http://www.practicallyscience.com/how-fast-do-i-gainlose-fitness/