Authorship is a big deal and many people are enjoying the little icon in search results that displays your mug in the search results. This is a benefit to anyone wanting an edge in being chosen by a perspective lead or client. What's recently been hotly debated however, is author rank. This is the idea that Google has assigned something much akin to page rank or "Google Juice" to a person's authorship profile, in turn, making their posts rank higher in Google search results.
For the present, I am on record as saying there is no such thing. Generally those who point to situations were they believe of a rank is in effect are only seeing QDF (query deserves freshness) another well known Google algorithm that places content high in search results just after it has been posted and then it tends to move it down in search results as it ages.
Instead of relying on a one trick pony like author rank, stick to the time tested practices of online marketing and you will do better than trying to find a new bright shiny object to do your hard work for you.
This particular account has no authorship markup so it will serve to show how other factors like domain authority and competition determine where a new post is displayed in search results - not author rank.