Don't take my word for it, but I believe the killing of a black bear without a license / in season only applies to livestock predation:
http://www.albertaregulations.ca/huntingregs/
Access for Control of Livestock Predation
Black Bear and Coyote*
Any person who is (a) the owner or occupant of privately owned land, or (b) authorized to keep livestock on public land, or (c) a resident authorized by a person described in (a) or a resident authorized in writing by a person described in (b) may, without a licence, hunt (but not trap) black bear or coyote on such lands, at all times of the year.




























