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. 2012 Jan 5;8(1):e1002308. doi: 10.1371/journal.pcbi.1002308

Table 1. Model comparison.

Model Interaction zone Inline graphic Inline graphic/rads Inline graphic Inline graphic Inline graphic Inline graphic KL/bits Inline graphic/bits Consistent?
Null None −7.5 N/A N/A N/A N/A N/A 10.2 −944 No
MF Global −7.5 N/A N/A 0.51 N/A N/A 0.6 −863 Yes
T K nearest-neighbours −7.5 N/A 3.4 0.72 N/A N/A 2.0 −864 No
S1 Spatial, symmetric −7.5 Inline graphic N/A 1.42 N/A N/A 1.3 −847 No
S2 Spatial, forward −7.5 Inline graphic N/A 1.71 N/A N/A 7.2 −834 No
S3 Spatial, symmetric −7.5 Inline graphic N/A 1.80 −0.01 N/A 2.0 −856 No
S4 Spatial, forward −7.5 Inline graphic N/A 1.74 0.20 N/A 2.3 −859 No
D1 Spatial, symmetric −7.5 Inline graphic N/A 1.62 N/A 0.47 0.7 −827 Yes
D2 Spatial, forward −7.5 Inline graphic N/A 1.50 N/A 0.46 1.5 −830 No
D3 Spatial, symmetric −7.5 Inline graphic N/A 1.44 0.23 0.87 0.4 −828 Yes
D4 Spatial, forward −7.5 Inline graphic N/A 1.44 0.37 0.82 0.8 −830 Yes

The interaction zone structure of each model, along with the (mean a posteri ) inferred values of model parameters, an indicator for the model's consistency with the observed large scale behaviour of the real system, The KL divergence between experimental and model results indicating large-scale goodness-of-fit and the log marginal likelihood (Inline graphic) of the model calculated from the fine scale dynamics (as shown in Figure 3). N/A indicates that the model does not include the indicated parameter. The interaction zone indicates whether prawns interact with others in a spatial zone around themselves, which may be oriented either forwards or symmetrically around their centre, or with their nearest-neighbours or globally with all other individuals. Reported parameters are: Inline graphic, the baseline direction-change intensity; Inline graphic, the interaction radius for spatial models; Inline graphic, the number of interacting nearest-neighbours for topological models; Inline graphic and Inline graphic, the strength of interaction with negative and positive prawns respectively; and Inline graphic, the decay factor determining how long interaction effects persist.