Bears is a different ball game altogether i believe, climbing, fast running, digging animals with gigantic strong arms and teeth that eat what we eat. We don't have them here, so i probably say something dumb. I take the risk to do so, because if even 1 thing i say hits home a fellow spirit might benefit in his natural ways. We're simply incapable of physically keeping them out, so we'll have to outsmart them. This will take some knowledge of levels native peoples had, i don't think there's another way.
I missed what kind of bears they are, black, brown, grizzly, what more have you? A mix.. I think that studying their diets and behaviorisms is key.
I would try and find out what we eat that they don't and if it wants to grow where you are multiply that and learn to cook and store that in differing ways. Are they fast learners?
I would imagine they take fruits at peak ripeness or even at what we would call overripe. They just skim the best and easiest. Learn to get there before they do, to partly pick unripe fruits, learn to make those good for you and store them where they can't reach.
A little anecdote.
I have planted many hazelnut trees, people more looking at the negative side of things said squirrels will just take them all. Not wanting to dismiss them i looked into that. Turned out when you plant enough, if you're not physically protecting the hazels, you'll always lose some to squirrels. But at some point they'll stop collecting them, because they feel they have enough. An area can only contain so many squirrels, because they cannot only live of hazels, they need other stuff too. And if that is not there, because i didn't plant it, then there is a maximum squirrel density to be expected.
I don't know if this principle one on one translated to bears as they're more versatile and intelligent than squirrels.
But if their numbers are limited/topped off by say salmon flows, then i would assume if there would be a lot more berries and what you gather will not increase their numbers significantly. You might by increasing the berry/apple flow not increase their numbers, because they are limited by a flow which is out of your control. Moose or something maybe. A combination I don't know, that will take studying. If it is limited, that opens a window for propagating wild berries. I would say the easiest is take cuttings when gathering in autumn and plant them straight away to root. Learn to propagate berries in an easy way. It took me years and only this year to learn to grow blackcurrants from seeds. I never realized they lose viability when they dry out until i asked on a Permies like forum. Now i freeze them until winter than store them in the refridgerator with dampish sand until they pop roots and then plant them in favorable conditions in spring. I would say plant life adapted itself to the bears spreading the seeds in their faeces, a much simpler way of doing things as usual. Bear faeces probably contain tons of seeds and could maybe be used if it doesn't make humans ill.
Hope this helps a bit, good luck.