I could be remembering this wrong (it's been a while since I have personally been concerned with it), but I think they have a pretty standardized setup for each class. If I remember correctly from previous years' threads, it's something like this:
80% of the class must be from Arkansas. They do their best to split that 80% up as equally as they can among the 4 Arkansas Congressional Districts. Little Rock is District 2, NWA is District 3, Lonoke County to W. Memphis is District 1, and the SE part of the state is District 4. Districts 1 and 4 typically have lower MCAT scores than 2 and 3.
As for the rest of the 20%, my understanding is they just take the best applicants not already chosen. There is a quota of OOSers they have to get (no idea what that number is, sorry! I also do not know the # of OOSers in my class or the current M1 class). I have no information about relevance of ties to the state other than that the brochure says the adcom likes them. Sorry
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One important though unrelated note that you guys might find interesting: The first class to experience any of the drastic changes made to the UAMS curriculum is our current M3 class. Avg Step I score for them was 10 points higher than the previous year. That's a huge deal. My class, the current M2 class, is the first one to experience the new curriculum in its entirety. Here's to hoping the upward trend continues!

Each class has a committee that means with the staff to critique and improve during and after every single block, and though one class worth of students is a small sample size, the changes seem to be doing some good.