Ecological communities do not spring into existence overnight, but dev
elop during the process we call assembly. As in other complex systems,
random assemblies may generate surprising patterns. In previous model
s, sequential invasion and extinction moved successive species mixes t
oward a persistent one. Other species present in the pool could not in
vade this persistent mix. Chance events early in the assembly produced
persistent mixes of different compositions. Most model species surviv
ed somewhere by belonging to one or more of these different persistent
mixes. We show that with more rapid invasion, communities move throug
h complex cycles of composition, where each species gets its turn. The
se complementary views offer insights into the diversity of natural co
mmunities. Importantly, they have practical implications for those att
empting to restore diversity to damaged ecosystems.