Graphical presentation of food/population dynamics

I encountered this article[1] when I am doing some search related to resilience and its mathematical methodology. In fact it is another way to explain Carpenter's S-shape curve in lake models[2]. I put the link here for future reference. Please note that the copyrights belong to [Resilience Alliance](http://www.resalliance.org/) and the author.

[http://www.ecologyandsociety.org/vol3/iss2/art11/figure7.html](http://www.ecologyandsociety.org/vol3/iss2/art11/figure7.html)

Ref:

1. Scheffer, Marten. 1999. Searching Explanations of Nature in the Mirror World of Math. Conservation Ecology 3, no. 2: 11. [Fulltext](http://www.ecologyandsociety.org/vol3/iss2/art11/manuscript.html)

2. Carpenter, Steve, Brian Walker, J. Marty Anderies, and Nick Abel. 2001. From metaphor to measurement: Resilience of what to what? Ecosystems 4, no. 8 (December): 765-781. http://www.springerlink.com/content/lu5mxqkxbblkly62/.