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Haefner et al. 1991
Edge effects in computer models of spatial competition.  J.W. Haefner, G.C. Poole, P.V. Dunn, and R.T. Decker. Ecological Modelling 56: 221-244. 1991.

Spatially explicit models of biological growth processes make assumptions about the interactions near the edges of the finite plots modeled. The most realistic approach is to embed the plot of interest in a larger space, but this is computationally costly and only moves the edge further away. To determine the bias introduced by using computationally efficient but less realistic methods, we used Monte Carlo simulation to compare four approaches to modeling the effects of boundaries on sessile organisms growing into asymmetric shapes under crowed conditions in finite regions. The four algorithms compared were: (a) embedding the modeled area in a space larger than the plot, (b) reflecting the area over the boundaries, (c) mapping the area onto a torus (translation), and (d) linearly expanding (extrapolating) the proportion of occupied area outside from that occupied inside. We studied the behavior of each algorithm in different ecological situations that varied the intensity of interactions and maximum sizes of individuals.
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