Studies of complex systems in other disciplines provide models and ana
lytical strategies for understanding ecosystems and landscapes. The em
phasis is on invariant properties, particularly processes that create
scaling relations over wide ranges of scale, both in time and space. T
ranslations between levels of ecological organization may be accomplis
hed by succinct characterizations of processes that operate at fine sc
ales, followed by renormalization group analysis to reveal patterns at
broad scales. The self-organized patterns found in simple ecosystem,
landscape, and forest-fire models may be explained as feedback between
the system state and control parameters. Critical phenomena and phase
transitions are expected in open, dissipative systems where long-rang
e correlations defy predictions based on average population densities,
a concept that becomes irrelevant as nonstationary conditions prevail
. Thus, complexity theory for open systems relates to the ecology of s
elf-entailing ecosystems that function as their own environments and t
hereby create constraints through emergence.