![]() Wildlife's 10-year cycle (University of Wisconsin Press, Madison, (1963). Stability and Complexity in Model Ecosystems (Princeton University Press, Princeton, (1973). ![]() The ten-year cycle in numbers of the lynx in Canada. Although synchronization is often perceived as being detrimental to spatially structured populations 14, phase synchronization leads to the emergence of complex chaotic travelling-wave structures which may be crucial for species persistence.Įlton, C. Peak population abundances, however, remain chaotic and largely uncorrelated. In a spatial lattice of patches, only small amounts of local migration are required to induce broad-scale ‘phase synchronization’ 12, 13, with all populations in the lattice phase-locking to the same collective rhythm. Populations oscillate regularly and periodically in phase, but with irregular and chaotic peaks together in abundance-twin realistic features that are not found in standard ecological models. ![]() In the proposed spatial model, each local patch sustains a three-level trophic system composed of interacting predators, consumers and vegetation. Here we examine the synchronization of complex population oscillations in networks of model communities and in natural systems, where phenomena such as unusual ‘4- and 10-year cycle’ of wildlife are often found. Population cycles that persist in time and are synchronized over space pervade ecological systems, but their underlying causes remain a long-standing enigma 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. ![]()
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