  We study local bifurcations of periodic solutions to time-periodic (systems
of) integrodifference equations over compact habitats. Such
infinite-dimensional discrete dynamical systems arise in theoretical ecology as
models to describe the spatial dispersal of species having nonoverlapping
generations.
  Our explicit criteria allow us to identify branchings of fold- and crossing
curve-type, which include the classical transcritical-, pitchfork- and
flip-scenario as special cases. Indeed, not only tools to detect qualitative
changes in models from e.g. spatial ecology and related simulations are
provided, but these critical transitions are also classified. In addition, the
bifurcation behavior of various time-periodic integrodifference equations is
investigated and illustrated. This requires a combination of analytical methods
and numerical tools based on Nystr\"om discretization of the integral operators
involved.
