What is a quasi-easement?
The term "easement" refers to a stiuation in which one person (or company or governmental body, etc) has a right to use some part of another person's property. So the person holding the easement has what's called a "nonpossessory interest" in the other's property. They have the right to use it, but they do not actually own it.
So, for example, the local utility company has a "public utility easement" that allows them to use the first 10 feet of the front of my property and the first 5 feet of the other sides. I own the property, but they can use it and I can't do anything about it.
In order to make an easement, the parties have to draw up a contract and go through as many formalities as if they were selling land. So the public utility easement I referred to earlier is explicitly stated on the city planning documents (something called a plat).
A quasi-easement exists when the owner of a parcel of land uses part of that land for the benefit of some other part of his or her land. This doesn't really start to matter unless the owner breaks up his/her land and sells one part to someone else.
So -- a quasi-easement is more or less an easement that a person grants to themself.