Professional growers use the guideline that potting up woody material before the root/soil mass advances to a state of congestion where the root/soil mass can be lifted from the pot intact is a requirement for best growth. If a plant is left to grow in the same container beyond that point, growth and vitality will both be negatively affected.
Partially burying your pots does 2 things. One, it alleviates some of the stress of tight roots, allowing your tree to grow under less constraint than it would have if roots were confined to the container only. Second, from a hydrological perspective it turns your conventional containers into mini raised beds. There are several advantages in that arrangement, the two most significant being the fact that it employs the earth as a giant wick, which eliminates any perched water in the container, so long as the soil the pot is partially buried in has a reasonable percolation rate (not clay or in a puddle); and it helps moderate the effects of solar (heat) gain on soil temperatures, a significant plus for container growers in the hot months.
I wanted to talk a little about the "growth spurt" that Brent mentioned and frame that in a different perspective. When we see a growth spurt in our plants, it's a signal that they were being limited, and something we did relieved some of the growth constraints imposed by the limiting factor. IOW, what we take to be a growth spurt is actually the tree shrugging off a constraint and returning to something closer to normal growth.
As growers, the best we can achieve for our plants is to get them to grow normally - that is, to their genetic potential. Every plant we own is capable of that because it's in its genetic code - we just have to eliminate the limiting factors and essentially stay out of the plant's way. In the case of letting roots run into the ground, that helps to reduce the negative effects of the root congestion in the container + the other benefits associated with cooler roots and reduced amounts of perched water, and the plant just grows closer to its potential.
Al