Whenever any member of the governing board of any park district (i) dies, (ii) resigns, (iii) becomes under legal disability, (iv) ceases to be a legal voter in the district, (v) is convicted in any court located in the United States of any infamous crime, bribery, perjury, or other felony, (vi) refuses or neglects to take his or her oath of office, (vii) neglects to perform the duties of his or her office or attend meetings of the board for the length of time as the board fixes by ordinance, or (viii) for any other reason specified by law, that office may be declared vacant. Vacancies shall be filled by appointment by a majority of the remaining members of the board. Any person so appointed shall hold his or her office until the next regular election for this office, at which a member shall be elected to fill the vacancy for the unexpired term, subject to the following conditions:
         (1) If the vacancy occurs with less than 28 months