I can't say I've seen such an article, but if there is one it should be a Sticky around here somewhere. Would be a great read if done complete with pictures (microscopic and otherwise) of the typical chain of organisms that proliferate and are then replaced by the next, the next, etc until finally it is just coralline, bacterial film, film algae, pods, diatoms, CUC, coral and fish that I think of as composing a mature and diverse biome.
The "path" to a mature, stable biome can vary a lot, but there are common themes I think. IMO, the most significant accelerator is the bacteria and microfauna that come with live ocean rock. It shortens up the amount of time considerably in my experience. Even still, most new biomes see a period of soft, furry brown algae along with some diatoms. Then sprinkle in some green algae maybe even a bit of turf algae. If nutrients dip you might go through some dinoflagellates. Then when nutrients come back up a period of cyano then followed by some gold ole GHA until the coralline can kick in. Before you know it, the tank is a year old and starting to settle.