Is there an overarching network theory for animals in a jungle, communication systems, the circulatory system, etc.?
Graph theory has been studied but how networks grow over time is a fairly new area of study stimulated by interest in how networks like the Internet grow. Different types of networks such as air transportation and communication networks function differently; they have different numbers of links and the links are organized differently, etc. The effects of different network geometries are being look at now.