When is it halachically permissible to hunt

I’ve always been taught if there was a specific resource being extracted (fur usually) that hunting is permissible but all the halachic literature deals specifically with “trophy” or “sports” hunting (disregarding the fact that there’s a lot of misconceptions regarding hunting in halacha, most hunting is done for ecological reasons and food).

Is there anything that deals specifically with this? Jews were heavily involved in the fur trade historically both in the US and in Russia so there needs to be halachic literature that doesn’t strawman hunting.