Article 31 of Immigration Act
…Where an alien meets one of the following circumstances, however, he/she shall be permitted to reside continually.
3. An alien acquires the guardianship of his/her own children with registered permanent residence in the Taiwan Area after his/her divorce.
5. Is deported from the State forcibly due to the revocation of his/her residence permit and is believed to have caused severe and irrecoverable damage to his/her own minor children with registered permanent residence in the Taiwan Area.