Localization transitions in age-structured populations

We discuss age-structured population models that exhibit a range of collective phenomena including phase transitions and population-level oscillations. We present an analysis that predicts the lineage properties of single cells, and demonstrate how the optimal lineage in a population undergoes a qualitative change in its statistical properties as model parameters are varied past a localization transition point that is analytically computed. We observe aging dynamics of the population in the localized phase, and illustrate connections with other problems in evolutionary dynamics.