If you mean what is the importance of analyzing the network in achieving energy efficiency, then my answer is that the more you know about the network (by analyzing its components and performance), the better decisions you can make to reduce energy consumption or set your protocols to be energy aware or energy efficient.
And if you mean how the energy efficiency is related to network analysis, then as my colleague Sankar said above, it can affect the choice of transmitted power to achieve the required performance, it can affect the selection of network equipment that both consume less energy and achieve the minimum required throughput, and so on.