suggested that the annual immigrant influx to the Japanese Archipelago from the Asian mainland during the Yayoi period ranged from 350 to 3,000). The old Japanese interpretation has been disputed by Korean scholars. At first, they simply chose to ignore it, but more recently, their position has been bolstered as continuing archeological excavations on the Korean Peninsula have failed to produce any evidence supporting the hypothesis. Korean historians generally interpret the claim about a Japanese colony in Korea as nationalistic colonial historiography, which has been accepted by some historians. Korean scholar Chun-Gil Kim, in his 2005 book The History of Korea, discusses the topic under the section "The Mimana Fallacy." Rurarz describes five main theories on Mimana, the first of which was proposed by Suematsu. A second theory on Mimana was proposed by the North Korean scholar Gim Seokhyeong, who suggested that Mimana was a political entity from the Korean Peninsula (possibly Gaya) that had a colony on the Japanese Islands, somewhere around the modern-day city of Ōyama, Ōita in Ōita Prefecture; thus Nihongi should be understood as referring only to the Japanese Islands and Jingū's conquest a description of a migration to a land in the Japanese Archipelago, not the Korean Peninsula. That is related to the so-called horserider invasion theory in which horse riders from the Korean Peninsula are hypothesized to have successfully invaded Japan and to have introduced horses, not native to the islands, to Japan. A third theory has been proposed by the Japanese scholar Inoue Hideo, who argued that ancient Japanese Wa people might have settled a region in the Korean Peninsula as long ago as around the Neolithic and that the Mimana state was an enclave of that group. A fourth theory was put forward by the South Korean scholar Cheon Gwan-u, who argued that the events present a history of the Korean Baekje state, which was allied with Yamato Japan and whose leaders fled there after Baekje's fall in the 7th century. In that version, Mimana would refer to Baekje, or some poorly-understood fragment of that state, which fought against Gaya. The fifth theory, which Rurarz describes as a "compromise version of recent young Japanese and Korean scholars" argues that there never was a Mimana state as such, and the term refers to Japanese diplomatic envoys active in the Korean Peninsula in that era. According to Han Yong-u, Yamato Japan could have established