What other considerations other than economic might prohibit or limit the mining of certain minerals as minerals are nonrenewable resources?

There really isn't much of a reason, as whether we mine the minerals now or later, we would end up with the same amount. Because of this, companies see no problem with trying to be the first to mine as much of as they can. The only reason they might limit this is because it is horrible for the environment to mine and use minerals like coal. Companies generally don't mind this much though.