You have not “documented” any assertion. Misinterpreting data or ignoring the proofs that you are incorrect is not “documenting” anything.
If you don’t even admit what “per capita” means there is no hope of you understanding what is posted in any case.
Then refute this:
The per capita income of free populations in 1860 as compiled by the United States Census was the following:
........................South..............North
...........................$150................$142
Sources: Fogel & Engerman (1860 Census), Wm. Parker