S.D. Codified Laws § 29A-3-609
The death of a personal representative or the appointment of a conservator for a personal representative who has been adjudicated a protected person, terminates the personal representative's appointment. Unless a co-representative remains in office, termination by death or appointment of a conservator imposes upon the personal representative of the deceased personal representative, or the conservator appointed for a living personal representative, the duty to protect the estate possessed and being administered at the time of termination, and confers the power to perform acts necessary to protect the estate and to account for, and deliver the assets to, a successor personal representative or special administrator upon appointment and qualification.
SDCL 29A-3-609