After just a few short years, Google Authorship is no more. I posted about how they were dropping author photos from search results to clean up their design, but now it seems they are dropping the rel=author markup altogether. John Mueller announced it’s death here saying that not enough people were using it and when they were they weren’t properly completing the steps. Google Search users will still see posts from Google+ friends and pages so expanding your Google+ circles still has that benefit. Google Authorship was the only reason I, and many others, used Google+ to begin with. Now Google Authorship has been removed from search results but posts and profiles from your Google+ circles are still there. This may attract people to focusing on growing their connections on that platform, increasing usage rather than accounts. In general, this shouldn’t affect your SEO. Having a Google+ profile and posting your content there is still recommend for the other reasons I pointed out in this post.
You can leave the authorship markup in place, it won’t do any damage to your site. The publisher markup is not affected. What’s the difference between author and publisher? Publisher markup is about connecting websites (not people as with author!) to a Google+ page (not profile!). You can implement rel=publisher markup if you have a Google+ page setup for your blog, it’s done basically the same way as Google Authorship (blogger tutorial/ wordpress tutorial) but using rel=publisher instead.