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Figure 3: Dynamical stochastic process of multiplication and selection. Discrete limit, one initial ancestor. The two cardinal examples (a) ( -regime, , ) and (b) ( -regime). Upper left: probability distribution of finding individuals after the multiplication phase of the th generation (3). Lower left probability distribution of finding individuals after the selection phase of the th generation (4). Maximal total number (cut-off value due to limited nutrition supply). Upper right: probability of extinction along generation . Lower right: average number of individuals and along generation . Parameters: , multiplication factor , and copy probability (all individuals that are present before multiplication copy once), surviving probability . Deterministic model (green in lower right, equations (7) and (8)): , , and .