Upvote:7
The way people like to do this comparison of laws or enforcement policies (eg: Broken Window enforcement) is to compare the delta in crime rates with similar cities that don't have the policy. Just looking at the local crime rate change can be misleading, as other factors may account for any differences (eg: economic changes). Finding a good "control" city can be a challenge though.
So in this case, I don't think there's any way to answer this question, since there's no part of Saudi Arabia simultaniously not under Shariah that you can use as a control. In fact, I don't really think any country can have a "comparable socioeconomic environment" to SA and not have Sharia.