Biology – Quantitative Biology – Neurons and Cognition
Scientific paper
2003-10-09
Biology
Quantitative Biology
Neurons and Cognition
21 pages, 8 figures
Scientific paper
We expand the current understanding of ecological resilience to include the nested hierarchy of cognitive submodules that particularly, if not uniquely, delineates human ecosystems. These modules, ranging from the immune system to the local social network, are embedded in a cultural milieu which, to take the perspective of the evolutionary anthropologist Robert Boyd, ''is as much a part of human biology as the enamel on our teeth''. We begin by extending recent treatments of cognitive process as associated with characteristic information sources to a certain class of ecosystems through a generalization of coarse-graining. In the spirit of the Large Deviations Program, we then import renormalization formalism via the Asymptotic Equipartition Theorem to obtain punctuated response to parameters of increasing habitat degradation. A Legendre transform of an appropriate joint information permits analysis away from critical points, and generates the expected quasi-stability in a highly natural manner. We interweave the discussion with applications to the public health impacts of the massive deurbanization and deindustrialization presently afflicting the United States.
Wallace Deborah
Wallace Rodrick
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