What are the branches of system ecology?
What are the branches of system ecology that scientists research in nowadays? Or what can system ecology can applied to, or be used?


This field is often referred to as systems ecology or ecosystem ecology. It is the study of ecosystems. Thermodynamic principles are often used to construct food/system webs (networks) to understand cause and effect within the system. But I think systems ecology can be considered beyond just a numerical approach to include social (human) dynamics. 

A great primer for systems ecology is that by Howard T. Odum:

Odum, Howard T. "Systems Ecology; an introduction." (1983).


  I have presented this in detail what I understand on my website.


After reading the post on your website I have some recommendations for complex systems science groups/hubs in which you can look for potential mentors/collaborators/ideas:


International Institute for Applied Systems Analysis (IIASA; Austria)
Santa Fe Insitute (US)
National Socio-Environmental Synthesis Center (SESYNC; US)