Self-organization and pattern Formation represent the emergence of order in
temporal and spatial processes. Self-organization in population ecology is
gaining attention due to the recent advances concerning temporal fluctuati
ons in the population size of dispersal-linked subunits. We shall report th
at spatially structured models of population renewal promote the emergence
of a complex power law order in spatial population dynamics. We analyse a v
ariety of population models showing that self-organization can be identifie
d as a temporal match in population dynamics among local units, and how the
synchrony changes in time. Our theoretical results are concordant with ana
lyses of population data on the Canada lynx.