So after I reformulated What are the relevant models and dynamics of immigration and asylum politics? from being just a question of literature references to an actual question, it's now put on hold as being to broad.
I understand that it is a complex area of research, but wouldn't asking for the most significant models at play here constitute an acceptable limit on scope?
Let's say that I instead asked for the most important models for global macro-political evolution in general. This would surely be a huge area of research, but nevertheless a theoretical model of this would not necessarily have to be overly complex in itself. For example (and without saying anything about the validity and quality of the work, I just happened to read this lately and I liked the format), Fukuyama is one author that provides a conceptual simple model of the most important factors of political development on a higher conceptual level: The State, Rule of Law and Accountability.
Equivalent answers like this, but somewhat more descriptive, would have been is what I'm asking for. Wouldn't that be specific enough?