Lineal succession was a doctrine, largely abandoned in many denominations of the Latter Day Saint movement, whereby certain key church positions are held by right of lineal inheritance. Most frequently the offices connected with lineal succession are those of the President of the Church and the Presiding Patriarch.
During his lifetime, Joseph Smith was the President of the Church of Jesus Christ of Latter Day Saints. At the time of Smith's assassination in 1844, most Latter Day Saints agreed that his older brother, Hyrum Smith, would have been Smith's successor, had he not also been assassinated. Another likely successor was Smith's younger brother Samuel, who died less than one month later. A few asserted that the last surviving Smith brother, William, should become church president, and William made that claim for a time and gathered a small faction of followers around him.
Many Latter Day Saints believed that a son of Joseph Smith should be the successor to the church presidency. Several prominent leaders asserted that a patriarchal blessing given to Smith's eldest son, Joseph Smith III, designated the boy to succeed his father. However, at the time of his father's death, Joseph III was only 11 years old.
As a result, many leaders arose who either argued against lineal succession or suggested that the church would have to wait for Joseph Smith III to mature. The largest group, led by Brigham Young, were proponents of a system whereby the senior member of the Quorum of the Twelve Apostles would succeed to the church presidency, absent any lineal succession. This system of apostolic succession continues in The Church of Jesus Christ of Latter-day Saints (LDS Church).