(and yes, it's probably got a quite high inaccuracy, but there aren't other easy to ingest sources I found)
On one hand, guards, staff,etc need to be paid. Someone being a criminal should not put extra burden on the rest of us, and our social services. Many for-profit prisons are incentivized to better serve than state-run institutions.
On the other hand, many prisons, private and otherwise, seem to play dirty rent-seeking bs with insanely low conpensation for work done, exorbiant fees for calling, visiting,or even emailing family, and systematic mismanagement.
Clearly there is a way to optimize this system, and both profit, and improve lives. Maybe someone here has a vision.
I disagree with this, criminals shouldn't place extreme burden on society, but it's our job to deal with rehabilitating them - it's a societal choice, some societies over time have forced capital punishments on any law breakers and our modern society tries to rehabilitate them.
Alternatively, if a country had a high rate of executions and/or "disappearing" people, what would happen to that country's incarceration rate?
Alternatively, is the term "incarceration" only applied to people convicted of a crime? Would re-education camps count towards the incarceration rate?