(a) The terms of office of the members of the county equalization boards shall be staggered as follows:

(1)

(A) In those counties having a county equalization board composed of five (5) members, the members shall serve three-year staggered terms of office, with each expiring term to expire on the first Monday of June of each year, or until his or her successor is selected or appointed and qualified.

(B) However, on the first Monday in July, 1999, the terms of the present members of each county equalization board with three (3) or five (5) members shall expire and new members shall be appointed as is provided by law, and within thirty (30) days thereafter, the five (5) new members shall meet and determine by lot their respective staggered terms in such a manner that one (1) member's term should expire one (1) year thereafter, two (2) members' terms should expire two (2) years thereafter, and two (2) members' terms should expire three (3) years thereafter; and

(2)

(A) In those counties having a county equalization board composed of nine (9) members, the members shall serve three-year staggered terms of office, with each expiring term to expire on the first Monday of June of each year, or until his or her successor is selected or appointed and qualified.

(B) However, on the first Monday in July, 1999, the terms of the present members of each county equalization board with nine (9) members shall expire and new members shall be appointed as is provided by law, and within thirty (30) days thereafter, the new members shall meet and determine by lot their respective staggered terms in such a manner that the terms of three (3) members each should expire one (1), two (2), and three (3) years, respectively, thereafter.

(b)

(1) Upon the expiration of a member's term under the provisions of this section, the successor member shall be appointed or selected for a three-year term or until his or her successor is selected or appointed and qualified.

(2) Upon the expiration of the term of any member of any county equalization board or upon the vacancy of a membership of any county equalization board, the member to fill the vacancy shall be selected by the same group, either the directors of the several districts of the county, the members of the city and town councils of the cities and incorporated towns in the county, the county judge, or the county quorum court that made the selection of the member whose term has expired or has been vacated.