Public Television Act Article 19

In the event that one-third of the directors or the seat for the director representing employees have vacated their offices, new directors shall immediately be selected pursuant to Article 13 to fill the vacancies. The new directors shall serve until the original term expires.When the chairperson has vacated office, one of the directors shall be elected by the directors to exercise the chairperson's powers until the original term expires.
中文原文 公共電視法第19條
董事出缺逾董事總額三分之一或員工代表董事出缺時,應即依第十三條規定補聘之。
依法補聘之董事,其任期至原任期屆滿為止。
董事長出缺時,由董事互選一人繼任其職務,其任期至原任期屆滿為止。

English translation for reference only; the Chinese text prevails. Not legal advice.