Noise-induced patterns in environmental systems - Noise-induced Phenomena in the Environmental Sciences - page 268

by spatially (and temporally) uncorrelated noise are crucial to the emergence of global
excitation events.
With stronger noise intensities (i.e., higher values of s gn ) stationary spatial patterns
emerge with the formation of excited patches (i.e., high plankton population) that
increase in density until a stationary configuration is reached, in which no further
excitation occurs in the interspaces between excited structures (Fig. 6.14 ). The con-
figuration resulting from these dynamics exhibits a remarkable spatial organization
(Fig. 6.14 , bottom). It has also been observed that, with lower levels of noise intensity,
pattern formation starts with the excitation of single patches leading to the emergence
of concentric-ring-shaped structures (Fig. 6.14 , top).