The search for a missing four-year-old boy in South Australia's mid north has entered its fifth day, after police continued to search overnight.

Gus was last seen playing in sand at his family's remote sheep grazing station on Saturday about 40km south of Yunta.

Yesterday, a statement was released by the family and was read by family friend Bill Harbison, who went to school with Gus's grandparents.

He said the family was "devastated by the disappearance of our beloved Gus".

Superintendent Mark Syrus said there had been no clues discovered about what direction Gus had gone in, but there was still hope he would be found.

Police are confident Gus was on the property and had not been taken, so a photo of the boy has not been shared, but police have released an image showing the shirt

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