Walt Crawford has published "Intersections: Journals and 'Journals': Taking a Deeper Look: Part 2: DOAJ Subset and Additional Notes" in Cites & Insights: Crawford at Large.
Here's an excerpt:
If you've been reading various commentaries about Gold OA journals-including Part 1-you may be wondering where all those supposed no-fee Gold OA journals are. This piece helps to tell that story. Specifically, of 2,843 journals in the Directory of Open Access Journals as of May 7, 2014 that have an English interface version, aren't from either OASPA members or Beall-list publishers, and are not about aspects of medicine or biology-and that actually published one or more articles between January 2011 and June 30, 2014-more than 78% do not charge fees of any sort, and those journals published 53% of the articles published by the whole group during that period. Those percentages grow to almost 92% and more than 81%, respectively, for 1,426 journals in the humanities and social sciences.
This article looks at the "DOAJ set" in depth, including new tables that show distribution of articles (and journals publishing articles during a year) on a year-by-year basis, including the percentage of free journals and articles from those journals for each year.
Digital Scholarship | "A Quarter-Century as an Open Access Publisher"