A very old topic. Three great things come to mind in response:

1) http://thoughtmaybe.com/arithmetic-population-and-energy/ (1992)
2) http://thoughtmaybe.com/derrick-jensen-endgame/ (2006)
3) http://thoughtmaybe.com/can-this-current-way-of-life-continue/ (2012)

Enjoy,
Jore


On 7/04/2014 8:12 PM, Stephen Loosley wrote:
>
>
> 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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