Prairiegrass,
The American Gelbvieh Association (AGA) used to have most of their EPDs generated by AGI, a division of the American Angus Association. However, they recently switched to having the American Simmental Association generate most of their EPDs. I believe that Colorado State Un. is still generating a couple of the EPDs for AGA as well.
When EPDs first came on the scene, most of them were generated by a few universities including Cornell, Un of Georgia, and Colorado State. Initially much of the funding for generating EPDs came from govenment money, however as funds became tighter, most of the universities choose to get out of the EPD business, which may have prompted ASA, AGI, and a few others to go into the EPD business themselves.
When AGA made the switch from AGI to ASA for the EPDs, I thought that I heard that the Stayability EPD was not going to be generated for a while. However, I must be incorrect because I just looked up some current EPDs and see that Stayability is still being reported.