Islamic State saw its territory in Iraq and Syria shrink almost 10 percent in the first six months of the year, as recent victories in Palmyra and Ramadi were outweighed by “significant” losses elsewhere, a report said.

The area in which Islamic State is the dominant military force now spans about 82,940 square kilometers (32,000 square miles), the U.K.-based research center IHS said in a study published Friday. That’s about the size of Austria. The militants lost territory in north Syria near the Turkish border, and in Iraq around the city of Tikrit.

The group’s reverses in Syria mostly came at the hands of Kurds and associated Sunni groups, starting with defeat at Kobani early in the year, report author Columb Strack said in an e-mailed reply to questions. […]