S.D. Codified Laws § 7-16A-10

An indigent person who is entitled to be represented by a public defender shall be counseled and defended at all stages of the matter beginning with the earliest time when a person providing his own counsel would be entitled to be represented by an attorney, including the revocation of probation or parole, appeal, and any other post-conviction proceeding that the public defender and the indigent consider appropriate, unless the court in which a proceeding is brought determines that it is not a proceeding that a reasonable person with adequate means would be willing to bring at his own expense. Representation may include co-counsel or associate counsel in appropriate cases.