Evolutionary Ecology: Old Ideas Percolate into Ecology

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Evolutionary Ecology: Old Ideas Percolate into Ecology Kenneth Wilson  Current Biology  Volume 19, Issue 1, Pages R21-R23 (January 2009) DOI: 10.1016/j.cub.2008.11.049 Copyright © 2009 Elsevier Ltd Terms and Conditions

Figure 1 Phase polyphenism in action: solitaria (left) and gregaria (right) phenotype of the desert locust, Schistocerca gregaria. Current Biology 2009 19, R21-R23DOI: (10.1016/j.cub.2008.11.049) Copyright © 2009 Elsevier Ltd Terms and Conditions

Figure 2 Percolation theory applied to forest fires. Panels (A–C) show the spatial distribution of trees in a forest separating two villages; panels (D–F) show how this influences the spread of a fire through the forest starting near the top village. In (A) the density of trees is very high, such that each tree is adjacent to another tree and there are no gaps: that is, p >> pc, where p is the proportion of sites (or matrix squares) filled by trees, and pc is the percolation threshold, see main text. As a result, the fire spreads rapidly from one village to the other (D). In (B), the density of trees is much lower, but the proportion of occupied sites is high enough for there to be a chain of trees connecting the two villages together (p = pc), such that a fire in one village can slowly spread from tree to tree, eventually setting alight the other village (E). In (C), the density of trees is lower than the percolation threshold (p < pc), and so when a fire from one of the villages ignites trees on the edge of the forest, it quickly burns out because there are no adjacent trees for the fire to ignite (F). Reynolds et al. [2] use an analogous use of percolation theory to explain the evolution of phase polyphenism in locusts, with locusts replacing the trees and predators replacing the fire. Current Biology 2009 19, R21-R23DOI: (10.1016/j.cub.2008.11.049) Copyright © 2009 Elsevier Ltd Terms and Conditions