I would have to look back in history and see what size population this area supported prior to the Industrial Revolution. What did they eat and how did they raise it? What changes in our area would preclude/encourage what type of life in a Post Industrial Age society? That is, of course, the Walking Dead/Jeremiah/(insert favorite end of the world movie/TV show here), and means that everything went bye bye and ain't coming back.
Why would that be important? Because the game won't be there for you to kill, not for many years. The locusts will spread out after eating everything in the cities/towns/raided individual homes, the ones that survive. Back to Darwin - the ones who do survive are bigger, meaner and more ruthless than the ones they killed. Maybe not QUITE the Lord Humongous...maybe. Once the outside food sources are gone and raided to non existence, food must be grown/raised/hunted locally, and then it becomes a race for survival on who can produce and defend what they produce, who swears to what person to create the next feudal society. The game will be wiped out, some gone forever, in a very short amount of time. Might have to learn what coyote tastes like - take a lot of Tony Cachert's Creole Seasoning. That stuff will cover up the worst tasting junk. There will be many desperate hunters, not a few sport hunters afield, wearing blaze orange and sharing hunting tips. Many hunters will be untrained idiots who have no idea what they are doing or what to do with the animal after they kill it, if they accidentally figure how to do that. Even pigeons might come in short supply.
Of course, that is the ultimate OMG situation, the famed zombie apocalypse of fantasy and sci fi. In that case I will die. Too old and fat to run, only place to castle up is poorly situated and has no permanent supply of water, to close to a locust highway, so my gear, what's left of it after I take as many with me as I can, (insert picture of fat old man puffing up chest trying to look like Mel Gibson from Road Warrior), will be split up among the locusts.
Short term situations, local catastrophes, you MIGHT get away with taking the family "hunting" to the hunting cabin for a while, especially if it's located in a part of the world/state/area that isn't experiencing the catastrophe, but then it would be more like relocating in hard times, not EOTWAWKI. The it probably wouldn't matter what firearms you had, except for self/family defense during the trip, if you didn't get the word in time and ended up, Katrina style, on a highway jammed full of cars out of gas.
Obviously I am no expert in anything but passing gas, (Gold Medal in the last Flatulence Olympics for Distance and Hang Time), but these seem to be rather self evident truths. The movies and TV shows always show what the writer suggests - "Jeremiah" has kids trading canned food 15 years after the last one was canned. What has a shelf life that long? Stored gasoline will go foul, even with Sta-Bil, eventually.
I guess it gets down to what you are able to prepare for, short or long term, and if you want to go long term, as several writers I have read who have lived through these situations in foreign countries, you had better prepare to join/organize/lead a group of diverse people with real skills, not the knot tying/small animal trap setting skills.
And in this state, you'd better find a permanent water source. And a way to defend it.
Feel free to tear my logic apart.