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Criticality Analysis on Environmental System

We discuss a possible mechanism of criticality in environmental system and its critical characteristics. Our analysis of eutrophication model shows that criticality in lake ecosystem could result from a S-shaped recycling process of phosphorus. S-shaped process is common in environment system, so we suppose that such process be a possible mechanism of criticality in many other environmental systems. Based on the supposition, we build a general dynamic model of environmental systems with criticality. As an application of the general dynamic model, we develop a biotic self-cleaning model that could manifest criticality resulting from change in biotic pollution absorption capacity. The simulation of the biotic self-cleaning model shows that the critical characteristics have great significance in the pollution abatement, that is, the evolving locus will dramatically alter if pollution abatement moment comes later than some critical moment.