Baronies have heavy furs in their outfits so they'd have both hunting and a clear flock tending lifestyle. I'd imagine some areas to be kinda like Scottish highlands.
Chaladon is kind of a paradise so it would be a major agricultural society. Also this helps them stand independent. Food is power. Agricultural societies only decline as a departure from agriculture happens. US used to be a major agriculture nation, much more than it is now, but we shifted to industry which is a lot easier than farm life. Trouble is you have to then import more food. That makes you dependent on foreign powers.
Yesha, its chinese. Rice, starch. There is rivers around so some fresh water fishing. They are a major expansionist power so they'd need the resources to support this. Expect their food to probably be the best in the world.
Anglea, yeah mostly fishing or hydroponics to supplement raiding. Cities are both exposed and under the ice. Given ancient technology, I could see them subsisting on some indoor farming.
Arashi, scavengers. Some crops but sandy soil so you can't get a variety. Likely most growing would be around oasis zones. In fact their largest town is centered around one. Rest would be pirating Guild or Yeshan vessels.
Guild...probably a lot of imports. If you look at the map, much of the surrounding areas look like former battlefields. However, cities would have sprang up around something so I'd guess they have clean water sources or at least some kind of water source for the city to be there. However, likely much of their food comes from Abermar next door. Huge valley/river system. Why it isn't under Guild control could be because of business dealings.
Aside from that, there are lots of food possibilities in the independent towns in the north. Theres an entire grassland area as well as multiple forests.