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Attempts by economists to describe the relationship between the economy and the<br />

natural environment in terms of costs have resulted in a number of modeling theories<br />

(Azar and Schneider, 2002; Nordhaus, 2007; Faber and Frenken, 2008). These<br />

theories currently allow a quantitative assessment, covering the stability interval of<br />

the relationship, but are unable to characterize its internal structure. The global<br />

warming phenomenon, caused not only by industrial and domestic pollution, but also<br />

by the discretionary intervention of economic society on the balance of biodiversity,<br />

has intensified and diversified the relationship between the economic and natural<br />

environment, emphasizing externalities of an exhaustive nature.<br />

A considerable amount of economic literature has approached the issue of climate<br />

changes, their causes and potential impact, and also the costs to mitigate the process<br />

(Edmonds and Reilly, 1983; Nordhaus, 1991; Pearce, 1991; Cline, 1992;<br />

Schmalensee, 1993; Weyant, 1994). From the perspective of economic analysis,<br />

recognizing the irreversible nature of pollution caused by economic activities induces<br />

the hypothesis that the natural environment has the capacity to absorb pollutants at a<br />

constant rate (Keeler et al., 1972; Gradus and Smulders 1993). Other researchers<br />

(Forster, 1975; Dasgupta 1982) have formalized the assimilation function of nature,<br />

correlating the level of pollution and the absorption capacity of the environment: the<br />

more intense the pollution, the lesser the level of environmental assimilation. These<br />

works are deterministic in nature. Attempts to optimize the balance between the wellknown<br />

business interests and the not yet fully configured or understood environmental<br />

interests, have created compromise models hoped to generate valid solutions.<br />

Reductionist approaches specific to the twentieth century have permitted the<br />

accumulation of a massive amount of information, multifaceted and in all areas. This<br />

information must be integrated through the vision of complexity sciences into<br />

aggregated models, holistic, dynamic and on multiple layers of complexity to<br />

understand the nature of complex crises generated by climate change.<br />

At the end of the twentieth century, policies to reduce the destructive effects on the<br />

environment were shaped to reflect sustainable development and economic growth;<br />

the optimal emissions policy leads to uncertainty about the occurrence of<br />

environmental events, which may lead to a continuous decline in wealth. The resource<br />

of “air purity” is renewable due to the natural process of eliminating carbon dioxide<br />

and other gases form the atmosphere through, for example, photosynthesis or the<br />

dissolution of pollutants into the ocean, in conditions we hope to be stable, but have<br />

an unclear dynamic because of the disappearance of species. Similar processes have<br />

been considered by Clarke and Reed (1994).<br />

The description and recognition of these change processes allows managers to decide<br />

at any time if it is desirable to keep emissions below the natural rate of purification.<br />

Additionally, it is important to see if it is possible to maintain the probability of<br />

occurrence or restriction of emissions at or below the purification rate, avoiding the<br />

risk for the occurrence of severe environmental events. These decisions are currently<br />

ignoring the issue of alleged stability of the natural environment and primarily<br />

consider the economic factor in terms of profitability. The possibility to avoid risks,<br />

originating in the nature of environmental events considered here is unique for our<br />

research and has important consequences. On the other hand, the policy of pollution<br />

allowances does not solve the problem of nature’s ability to intervene, but gives way<br />

to risks for unpredictable biological and ecosystem catastrophes.<br />

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