Here's a couple. Not a regional porn ban = more rape like previous poster said, but this is the most relevant data I could find. ...and this data isn't great. My main takeaway from this search is that we need to direct some actual research into what access to porn does vs doesn't do. Also specific categories of porn - I wouldn't be surprised to learn that sexual violence increases with consumption of porn that glorifies rape; but then if porn made a point to model good practices around things like obtaining consent, I'd wager sexual violence probably decrease.

TLDR, it's a complicated question, so take these with a grain of salt, but among the most credible sources I found, they trended toward porn and rape NOT being positively correlated.

"Victimization rates for rape in the United States demonstrate an inverse relationship between pornography consumption and rape rates."

https://www.researchgate.net/publication/222552404_The_pleasure_is_momentarythe_expense_damnable_The_influence_of_pornography_on_rape_and_sexual_assault

"The results showed that in none of the countries did rape increase more than nonsexual violent crimes [during a period of increased access to porn]. This finding in itself would seem sufficient to discard the hypothesis that pornography causes rape."

https://pubmed.ncbi.nlm.nih.gov/2032762/

Not really a good block of text to quote, but the gist is: "Porn doesn't cause rape, but there's more going on than just direct cause and effect"

https://vawnet.org/sites/default/files/materials/files/2016-09/AR_PornAndSV.pdf