Later the alliance fell apart, and by the time of Bahram IV (388–399) the Sasanians had lost numerous battles against the Kidarites. The migrating Kidarites then settled in Bactria, where they replaced the Kushano-Sasanids, a branch of the Sasanids that had displaced the weakening Kushans in the area two centuries before. It is thought that they were in firm possession of the region of Bactria by 360. Since this area corresponds roughly to Kushanshahr, the former western territories of the Kushans, Kidarite ruler Kidara called himself "Kidara King of the Kushans" on his coins.