This recent study, financed by NASA, found that because of financial inequality 
and environmental problems, the industrial world could suffer “a precipitous 
collapse” within decades.
http://www.sesync.org/sites/default/files/resources/motesharrei-rivas-kalnay.pdf

March 19, 2014
Abstract
There are widespread concerns that current trends in resource-use are 
unsustainable, butpossibilities of overshoot/collapse remain controversial. 
Collapses have occurred frequently inhistory, often followed by centuries of 
economic, intellectual, and population decline. Manydiff erent natural and 
social phenomena have been invoked to explain specific collapses, but ageneral 
explanation remains elusive.

In this paper, we build a human population dynamics model by adding 
accumulatedwealth and economic inequality to a predator-prey model of humans 
and nature. The modelstructure, and simulated scenarios that o er significant 
implications, are explained. Fourequations describe the evolution of Elites, 
Commoners, Nature, and Wealth. The modelshows Economic Stratication or 
Ecological Strain can independently lead to collapse, inagreement with the 
historical record.

The measure "Carrying Capacity" is developed and its estimation is shown to be 
a practical means for early detection of a collapse. Mechanisms leading to two 
types of collapses arediscussed. 

The new dynamics of this model can also reproduce the irreversible collapses 
foundin history. 

Collapse can be avoided, and population can reach a steady state at 
maximumcarrying capacity if the rate of depletion of nature is reduced to a 
sustainable level and ifresources are distributed equitably.

Summary

Collapses of even advanced civilizations have occurred many times in the past 
five thousand years, and they were frequently followed by centuries of 
population and cultural decline and economic regression. Although many di 
fferent causes have been o      ffered to explain individual collapses, it is 
still necessary to develop a more general explanation. In this paper we attempt 
to build a mathematical model to explore the essential dynamics of interaction 
between population and natural resources ...


In sum, the results of our experiments indicate that either one of the two 
features apparent in historical societal collapses (over-exploitation of 
natural resources and strong economic stratication) can independently result 
in a complete collapse. Given economic stratication, collapse is very 
difficult to avoid and requires major policy changes, including major 
reductions in inequality and population growth rates. Even in the absence of 
economic stratication, collapse can still occur if depletion per capita is too 
high. However, collapse can be avoidedand population can reach equilibrium if 
the per capita rate of depletion of nature is reduced to a sustainable level, 
and if resources are distributed in a reasonably equitable fashion. In the 
upcoming generations of HANDY, we plan to develop several extensions ...
                                          
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