The Labile Carbon is also known as the 'Rapid Cycling Carbon' and its composed of all the Soil Organic Matter that is dead and actively decomposing. It's benefit to the soil is that it provides a source for minerals that are being recycled as potential plant nutrients, so in a sense it's Nature's fertilizer. Active Carbon also known as Reactive Carbon is more complex than the Labile Carbon in that its composed of all the dead and actively decomposing organic matter plus all the living soil microbial community that will eventually die and begin decomposing. For example, the hyphae of mycorrhizae only live about 5 to 7 days before they die and start to decompose, while the fungus organism itself may live far longer. Recalcitrant Carbons are the Humic substances made up of complex organic chemistry, some of which is inert and some of which is very reactive and are powerful biologics, such as the Humic Acids. Recalcitran...
I've spoken many times on this subject at conferences and it was the main theme of my talk when I represented North America at the World's 1st Humus Experts Meeting in Vienna Austria back in 2013. Most of the Nitrogen used by the vast tropical rain forests, or the fastest growing biomass place on Earth, the Coastal Redwood Forests of California, comes from the production of protein by the Free-Living Nitrogen Fixing bacteria in soil and the massive biomass structure of the mycorrhizal fungi. The proteins as it breaks down in the soil into amino acids are the building blocks of life and the explanation of the Soil Food Web. However, in order for those amino acids to enter a plant and be part of the nitrogen budget of the plant they must have the assistance of the mycorrhizal fungi. It's much more efficient for a plant to uptake amino acids whose molecules include nitrogen needed to build tissues than to uptake just nitrogen minus the amino acid. ...