As I understand it, there are three mechanisms by which ATP is replenished:
For intense 10-12 second efforts, ADP is directly converted back to ATP using creatine phosphate
For efforts up to a couple minutes, ATP is produced by glycolytic metabolism
For longer efforts (several minutes or many hours), ATP is produced by oxidation of fatty acids and glycolytic products
(Source is nearly verbatim from Mark Rippetoe and Lon Kilgore's Practical Programming for Strength Training, 2nd edition, page 57)
If a particular sport engages two different metabolic methods, A) how does that interaction work, and B) how does one condition for it?
For example, many running-centric team sports like soccer are clearly in the third category (running for twenty minutes to maintain positional control of the field). Those same sports occasionally require intense spurts that would clearly fall in the first category (sprinting on a breakaway).
Is sport-specific training (e.g. scrimmaging) best for training this interaction between the two pathways? Is training each pathway individually (e.g. sled drags in one workout, distance running in another) sufficient? Does conditioning have to be combined in the same specific manner that mimics lower-intensity work interspersed with bursts of hard effort (e.g. Indian runs)?
Update: to be clear, I am looking for an explanation of the physical or physiological phenomena going on here. I am not looking for advice on a training regimen, unless it specifically explains why and how it is most effective, using either science or competition.