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Shift dynamics on a cycle. (1) First, an individual is chosen to reproduce with probability proportional to fecundity, and an individual is chosen for death with uniform probability. (2) The new offspring appears adjacent to the parent. (3) The remaining individuals shift along the cycle until the position of the deceased individual is filled. It does not matter which direction the reproduction and shifts occur—the resulting state is the same (up to a rotation of the cycle).
