(a) The following persons serve as nonvoting directors:
(1) the directors of the following departments of the City of Houston or a person designated by that director:
(A) parks and recreation;
(B) planning and development; and
(C) public works; and
(2) the City of Houston’s chief of police.
(b) If a department described by Subsection (a) is consolidated, renamed, or changed, the board may appoint a director of the consolidated, renamed, or changed department as a nonvoting director. If a department described by Subsection (a) is abolished, the board may appoint a representative of another department that performs duties comparable to those performed by the abolished department.