This seems to be a variation of Barnbaum's compensating development method (Barnbaum, B., "The Art of Photography" ed. 3.1, pp 9-18 to 9-19). He uses HC-110, but the idea is the same. The first solution is somewhat more concentrated than usual (1:10). He develops a Tri-X negative in the first solution with constant agitation for 45 seconds or so and then lets it stand for another 45 seconds. That provides a base development for the shadows. He then transfers the negative to a very dilute solution of HC-110 (1:65) to complete the development (about 10 minutes) with constant agitation for the first 30 seconds and normal agitation thereafter. You can alter the final contrast by changing the time in the first solution. This system is capable of handling extreme contrast ranges (N-3 to N-5 development, more or less) while retaining decent shadow speed. The method can obviously be used with other developers or combinations of developers, and variations can be made for various compensation techniques. But the principle is the same for all: a concentrated developer initially develops the deep shadows; then a dilute developer takes care of the midtones and highlights.