Public officials Election And Recall Act Article 73

If, after taking office, a legislator dies, resigns, or their election win has been declared null and void by final court decision, the following provisions shall govern:1. For regional legislators and indigenous legislators, the vote for the by-election shall be completed within three months from the date of the death of the legislator, the day of their resignation, the day the election commission receives the certificate of final judgement from the court, or the day other circumstances arise that result in a vacant office. However, if the remaining term of office of the legislator is less than one year, the by-election shall not be held.2. For legislators at-large and legislators residing overseas, except for cases where a written statement rejecting the appointment to the vacant office is made, the vacancy shall be filled by the political party according to the list of registered candidates and in the order in which they appear on the said list; if there are no candidates on the list of candidates registered by the political party that can fill the vacancy, the office shall be regarded as vacant.If a legislator at-large or a legislator residing overseas loses their political party membership after they take office, they shall lose the title of legislator the same day they lose their membership to the political party, the Central Election Commission shall send written request to the Legislative Yuan for the legislator to be removed. Except for cases where a written statement rejecting the appointment to the vacant office is made, the vacancy shall be filled by the political party according to the list of registered candidates and in the order in which they appear on the said list; if there are no candidates on the list of candidates registered by the political party that can fill the vacancy, the office shall be regarded as vacant.If, after taking office, a female electee for legislator at-large or legislator residing overseas dies, resigns, or their election win has been declared null and void by final court decision, loses their political party membership, or other circumstances arise that result in a vacant office, and her political party has not yet filled the quota of female candidates to be elected, except for cases where a written statement rejecting the appointment to the vacant office is made, the vacancy shall be filled by the political party pursuant to the female candidates on the list of registered candidates and in the order in which they appear on the said list; if there are no female candidates on the list of candidates registered by the political party that can fill the vacancy, the office shall be regarded as vacant.For the loss of political party membership referenced in the preceding two paragraphs, the political party to which the legislator belonged shall file the certificate of loss of political party membership with the Central Election Commission for future reference.The Central Election Commission shall issue public notice of the electees to fill vacant legislative offices, as referenced in Subparagraph 3 of Paragraph 1, Paragraph 2, and Paragraph 3, within fifteen days from the day the letter requesting removal of the legislator is sent to the Legislative Yuan.
中文原文 公職人員選舉罷免法第73條
立法委員於就職後因死亡、辭職、經判決當選無效確定或其他事由出缺時,依下列規定辦理:
一、區域及原住民選出者,應自死亡之日、辭職之日或選舉委員會收到法院確定判決證明書之日或其他出缺事由發生之日起三個月內完成補選投票。
但其所遺任期不足一年時,不予補選。
二、全國不分區及僑居國外國民選出者,其所遺缺額,除以書面聲明放棄遞補者外,由該政黨登記之候選人名單按順位依序遞補;如該政黨登記之候選人名單無人遞補時,視同缺額。
全國不分區及僑居國外國民立法委員,在就職後喪失其所屬政黨黨籍者,自喪失黨籍之日起,喪失其資格,由中央選舉委員會函請立法院予以註銷,其所遺缺額,除以書面聲明放棄遞補者外,由該政黨登記之候選人名單按順位依序遞補;如該政黨登記之候選人名單無人遞補時,視同缺額。
全國不分區及僑居國外國民立法委員選舉婦女當選人,於就職後因死亡、辭職、經判決當選無效確定、喪失其所屬政黨黨籍或其他事由出缺,致該政黨婦女當選人不足婦女應當選名額時,其所遺缺額,除以書面聲明放棄遞補者外,由該政黨登記之候選人名單中之婦女候選人順位依序遞補;如該政黨登記之候選人名單無婦女候選人遞補時,視同缺額。
前二項政黨黨籍之喪失,應由所屬政黨檢附黨籍喪失證明書,向中央選舉委員會備案。
第一項第二款、第二項及第三項所定立法委員之遞補,應自立法院註銷名籍公函送達之日起十五日內,由中央選舉委員會公告遞補名單。

English translation for reference only; the Chinese text prevails. Not legal advice.