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. 2014 Feb 22;281(1777):20132094. doi: 10.1098/rspb.2013.2094

Figure 2.

Figure 2.

Relationships between the scales of spatial interaction (λi) and the minimum critical movement rates of nutrients (dRmin,c) and of herbivores Inline graphic for given meta-ecosystems (blue and red inset) as described by equations (3.1) and (3.2) at different autotroph movement rates (dA). Inline graphic is determined by evaluating Inline graphic (black line) at all the scales of spatial interaction the meta-ecosystem (blue and red vertical lines) and taking the smallest value of dR found (blue and red horizontal lines). The procedure is identical for Inline graphic. Note that for the blue meta-ecosystem, λ5 = λ4 = λ3 = λ2. (a,b) At low dA, Inline graphic and Inline graphic are determined by λ5, the shortest scale of spatial interaction, for both meta-ecosystems. (c,d) At higher dA, there are no positive Inline graphic and Inline graphic values for the blue meta-ecosystem owing to lack of longer scales of spatial interaction, while Inline graphic and Inline graphic are determined by λ4, the second shortest scale of spatial interaction, for the red meta-ecosystem.