S.D. Codified Laws § 46A-4-76
If the board of directors of an irrigation district finds that lands within the district are alkaline, slick, unsusceptible of economic leveling, water-logged, caliche, hard pan, or otherwise unproductive or incapable of carrying their proportionate district liabilities and obligations without recurring delinquencies, for which irrigation water is available, and that the major portion of such lands has been unfarmed and delinquent in payment of district taxes for the last two years or more, it may exclude such lands from the district. The board shall adopt a resolution stating its findings and declaring its intention to exclude such lands for one or more reasons set forth above, and shall require the record owner or any persons actually resident upon such land to show cause why the lands should not be excluded from the district. A copy of the resolution shall be served upon the record owners and actual residents, if any, upon the lands, personally if residents of the county in which the office of the board is located, or if not, by registered or certified mail addressed to such persons at their last known post office address, and by publication of the resolution at least once a week for three successive weeks in a newspaper of general circulation within the county in which the district office is located.
SDCL 46A-4-76