Fortunately, in the Shanghai Jiao Tong University Academic Ranking of World Universities there is a category, Per Capita Performance (PCP) that measures per capita academic performance of an institution. What do we find here?
Aarhus University scores 28.5, while Peter Turchin’s home institution, University of Connecticut at Storrs, scores 13.3.
Now this is not completely fair. While the the Shanghai ranking is pretty good since it is based on outputs, not inputs, it is not at all concerned with learning outcomes for students. It may be the case the University of Connecticut at Storrs adds more value to their students than Aarhus University does. Also, medical schools produce lots of papers, so any university with a large medical school will tend to do well in the rankings.
University of Copenhagen has a PCP score of 35, while University of Wisconsin scores 25.1. Why this comparison? Wisconsin is roughly the same size as Denmark and it is full of people of Scandinavian descent. However, in the overall Shanghai ranking, University of Wisconsin ranks 19th in the world , University of Copenhagen ranks 42nd and Aarhus ranks 81st. That is probably about right. The University of Connecticut – Storrs is ranked in the 201-300 group.
Let me add that Peter Turchin clearly outclasses his home university. They are lucky to have him. Of course, there are compensations for working in Storrs. I gave a talk there once, and the area is beautiful.