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Fig. 4. Log-log plot showing the change in resource encounter by a forager with changing scale in a uniform and a fractal environment (see Fig. 3). The exponent in each regression approximates the resource dimension of the environment, which is close to 2 in the uniform environment and lower in the fractal environment. Realized resource density in the uniform distribution has an exponent of approximately 2 where y = 0.61x1.91 (r2 = 0.99), which indicates resource density is not strongly scale-dependent. On the other hand, realized food density within the fractal distribution has a much lower exponent y = 0.51x1.26 (r2 = 0.99), which suggests strong scale dependence.
