Eviction, is the removal of a tenant from rental property by a law enforcement officer, before a tenant can be evicted, a landlord must win an eviction lawsuit. Of course, in meerkat behavior, its the process of rejecting, and removing, a subordinate female from the group by the dominate female.
Reasons for eviction
Much of the time, females are evicted from the group for giving birth to pups, a right usually reserved for the dominate female. It is, perhaps, to protect the dominate females pups, which the victim of eviction may kill. 
Another reason for eviction is, rebelling or assume leadership, which most meerkats don't do, but are forced to (For example:A female is in a splinter group, she is the eldest female there, she must become dominate). The most notable case with this happening was with Tosca Whiskers.
All meerkat groups are started by evicted females, usually a gang of sisters.