This picture of a black bear follows the rule of thirds closely.
This picture also illustrates an important basic strategy of effective wildlife photography. It is my belief that eye contact, and good focus on the eyes is essential. Here the bear was walking toward me. I took this picture at about 30 yards, then picked up my shotgun and drove him off.
Eye contact creates an emotional effect on viewers. There are many good nature photos that don't have direct eye contact, but the eyes should be looking at something and be in strong focus. Even with butterfly photos, sharp focus on the eyes is important.