(a) A board of trustees shall administer the pool.
(b) The board is composed of the members of the governing board of an association that:
(1) on September 2, 1987, had been providing pooled self-insurance in this state for more than five years; and
(2) has as the association's members the public entities that entered into the written agreement under Section 2208.051.
(c) Board members shall represent members of the pool.