The action of tracking which biological species you have observed is known as lifelisting.
The phrase is particularly common among bird watchers [1] and fishermen, some of whom compete with each other to have the largest list with the most unique species.
[2] Lifelisting can take many forms, as it is up to each individual what they "count" for their list and what they don't.
Since there are so many methods of fishing as opposed to the relative simplicity of birding, fisherman disagree what "counts" for their lifelist and what doesn't.
The most popular form of lifelisting when it comes to fishing is called microfishing, where fisherman will use small hooks on rods lacking reels, targeting small species entirely by sight, often at night.