httpv://www.youtube.com/watch?v=Szpeva5mt_c
Here’s yet another excellent video from Patrick showing the difference between microbial and fungally dominated compost piles.
The higher the carbon to nitrogen ratio, the more fungus you will have. Other indicators of this are slower decomposition speed, and much lower temperatures (which fungi prefer).
Fungally dominated compost will increase soil diversity and supply nutrients to your plants.