(1) On ceasing to be a member of the Board, the chairperson ceases to be its chairperson.
(2) The chairperson of the Board shall, unless he or she sooner resigns, dies or otherwise ceases to be chairperson by virtue of subsection (1), hold office until the end of his or her term of office and, if re-appointed as a member of the Board, is eligible for re-appointment as its chairperson.