... if Vacancies happen by Resignation, or otherwise, during the Recess of the Legislature of any State, the Executive thereof may make temporary Appointments until the next Meeting of the Legislature, which shall then fill such Vacancies. (politics.stackexchange.com)
The Republican National Committee is hereby authorized and empowered to fill any and all vacancies which may occur by reason of death, declination, or otherwise of the Republican candidate for President of the United States or the Republican candidate for Vice President of the United States, as nominated by the national convention, or the Republican National Committee may reconvene the national convention for the purpose of filling any such vacancies. (politics.stackexchange.com)
In the event that a vacancy arises with respect to a member of the commission first appointed pursuant to the chapter of the laws of two thousand eleven which amended this subdivision by a legislative leader, the legislative leaders of the same political party in the same house shall appoint a member to fill such vacancy irrespective of whether that legislative leader's political party is in the majority or minority. (nystateofpolitics.com)