There is no evidence to suggest that corporal punishment leads to a reduction in negative behaviour. There is substantial evidence that points to the contrary. Those that are subjected to violent punishment are more likely to be violent and aggressive to others.
Correlation also does not surmount to causation. Just because some teachers have anecdotally observed that classroom behaviour or crime rates are increasing does not automatically mean that an end to corporal punishment methods is to blame. No studies have effectively proven a causal link between the two phenomena.
If there was a correlation between corporal punishment and reduced violent crime, then, in theory, places which retained corporal punishment would have lower murder rates. This is not the case. The southern states of the United States, including Louisiana, Mississippi and Georgia have kept corporal punishment in schools but have some of the highest murder rates in the United States.