Hundreds of volunteers from the local community joined police and specialist teams as they searched the surrounding area for any trace of the toddler.
But in the early hours of January 18, police said the body of the little boy was discovered in Fife, near Edinburgh.
The boy's mother was formally arrested and charged in connection with his death later that day.
An investigation is on and the Crown Office said in a statement that no further information will be released until the accused is indicted and appeared in an open court in due course.