The following text is based on section 36 of the University Act:
(1) The term of office of a member of the Senate, other than one elected under section 35.1 (2) (h) or (3) (h), is three years and after that until a successor is appointed or elected.
(2) The term of office of a member of the Senate elected under section 35.1 (2) (h) or (3) (h) is one year and after that until a successor is elected.
(3) Members of a Senate who remain eligible under section 35.1 may be reappointed or re-elected in the manner provided under section 35.1 for further terms.
(4) If a vacancy arises on the Senate, the vacancy must be filled,
(a) in the case of an appointed member, by the body possessing the power of appointment, or (b) in the case of an elected member, in the manner specified by the Senate.
(5) A person appointed or elected to fill a vacancy holds office for the remainder of the term for which the person's predecessor was appointed or elected.
(6) The secretary of the Senate must enter a declaration of the vacancy in the minutes of the Senate.
(7) A declaration under subsection (6) is conclusive evidence of the vacancy.
The full and unedited text of the University Act is available at BC Laws.