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~ Ramblings and musings in evolutionary paleoecology

Roopnarine's Food Weblog

Tag Archives: giant component

Critical threshold

17 Tuesday Aug 2010

Posted by proopnarine in CEG theory

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Tags

giant component, networks, paleo-food web, paleontology, simulations, Threshold, Tipping point

LAZ g10_2_g11

LAZ with CAZ richnesses for g10 and g11

What causes the critical threshold increase of secondary extinction in a typical CEG simulation? It cannot be a simple result of increasing the perturbation magnitude, \omega; that is given by topololgical secondary extinction. CEG differs from the simple topological model in several ways. First, link strengths are not uniform but are instead a function of in-degree. Second, nodes are not equivalent, but have dynamic population sizes. And third, there are topdown effects. Somehow, top down feedback initiates catastrophic collapse at a very specific perturbation magnitude. Bel ow that threshold, responses are dampened. Why? I hypothesize that at the threshold, a giant component in the network is activated. Given that the component is present no matter the magnitude of perturbation, activation must depend on link strengths, which in CEG are dynamic.

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