Erratum to: J Orthop Sci DOI 10.1007/s00776-015-0741-5

In the original publication of the article, an entry was missing in the Acknowledgments. The correct information is given below.

Acknowledgments This work was supported by a Grant-in-Aid for H17-Men-eki-009 (Director, Kozo Nakamura), H20-Choujyu-009 (Director, Noriko Yoshimura), H23-Choujyu-002 (Director, Toru Akune), H-25-Choujyu-007 (Director, Noriko Yoshimura), and H25-Nanchitou(Men)-005 (Director, Sakae Tanaka) of the Ministry of Health, Labour, and Welfare; and Scientific Research B23390172, B20390182, and Challenging Exploratory Research 24659317 to Noriko Yoshimura; B23390356, C20591774, and Challenging Exploratory Research 23659580 to Shigeyuki Muraki; Challenging Exploratory Research 24659666 and 21659349 and Young Scientists A18689031 to Hiroyuki Oka; B23390357 and C20591737 to Toru Akune; Collaborating Research with NSF 08033011-00262 (Director, Noriko Yoshimura) from the Ministry of Education, Culture, Sports, Science and Technology in Japan. This study also was supported by grants from the Japan Osteoporosis Society (Noriko Yoshimura, Shigeyuki Muraki, Hiroyuki Oka, and Toru Akune) and research aid from the Japanese Orthopaedic Association (JOA-Subsidized Science Project Research 2006-1 & 2010-2; Director, Hiroshi Kawaguchi, 2014-1; Director, Kozo Nakamura). The authors wish to thank Dr. Takako Nojiri and Mr. Kazuhiro Hatanaka of the Gobo Public Health Centre; Dr. Naoki Hirabayashi of the Kawakami Clinic in Hidakagawa Town; Mrs. Tomoko Takijiri, Mrs. Rie Takiguchi, Mrs. Kyoko Maeda, and other members of the public office in Hidakagawa Town; Dr. Shinji Matsuda of the Shingu Public Health Centre; Mrs. Tamako Tsutsumi, Mrs. Kanami Maeda, Mrs. Megumi Takino, Mrs. Michiko Okada, Mrs. Kazuyo Setoh, Mrs. Chise Ryouno, Mrs. Miki Shimosaki, Mrs. Chika Yamaguchi, Mrs. Yuki Shimoji, and other members of the public office in Taiji Town for their assistance in locating and scheduling participants for examinations. We also thank Ms. Kyoko Yoshimura, Mrs. Toki Sakurai, Mrs. Saeko Sahara, and Mr. Noriyuki Oe for their assistance in data reduction and administration.