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The second half of the 20th century was a period of unprecedented and rapid change in the global population, the biosphere, the world economy and society. Recent inquiry related to the environmental effects has focused on the complexities of how the Earth behaves as a system, with connectivity linking its oceans, land, atmosphere, living, and non-living components. The search for delineation of natural and human causes and effects of global change has ushered in new mathematical approaches to the pursuit of a global environmental system science. Judging from the reports of several international conferences—for example, The Amsterdam Declaration on Global Change, 2000—a consistent theme has emerged, calling for the development of an effective ethical framework of global stewardship and strategies (modeling and monitoring) for Earth system management.