Sd. Levitt, THE EFFECT OF PRISON POPULATION-SIZE ON CRIME RATES - EVIDENCE FROM PRISON OVERCROWDING LITIGATION, The Quarterly journal of economics, 111(2), 1996, pp. 319-351
Simultaneity between prisoner populations and crime rates makes it dif
ficult to isolate the causal effect of changes in prison populations o
n crime. To break that simultaneity, this paper uses prison overcrowdi
ng litigation in a state as an instrument for changes in the prison po
pulation. The resulting elasticities are two to three times greater th
an those of previous studies. A one-prisoner reduction is associated w
ith an increase of fifteen Index I crimes per year. While calculations
of the costs of crime are inherently uncertain, it appears that the s
ocial benefits associated with crime reduction equal or exceed the soc
ial costs of incarceration for the marginal prisoner.