There are four types of trapping licenses in Alberta.
A registered trapping license which allows one to trap a fixed, well defined parcel of crown land.
And a Resident trapping license which allows one to trap private land to which he or she has right of access and crown land that is not part of a registered trap line and to which the licensee has gained permission to trap through F&W.
And there is an Indian Fur trappers license (Thats what it's called in the regs) and a Metis Trapping License.
To trap open crown land (not part of a registered trap line) one would have to obtain a map of the local registered lines, locate crown land not a part of any of those lines and the apply to F&W for permission to trap said land using form WA 19A which one can pick up at any F&W office for free.
You would also need this form to trap private land that you do not own but to which you have permission from the landowner to trap. Both registered and resident trappers would need to fill out this form to trap such private land or open crown land.
It's all in the regs which can be picked up at any F&W or downloaded from
http://albertaregulations.ca/