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. 2013 Mar 21;9(3):e1002961. doi: 10.1371/journal.pcbi.1002961

Table 1. Model comparison.

Model Interaction zone Inline graphic Inline graphic/radians Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic-value Inline graphic bits
Null None −7.5 N/A N/A N/A N/A N/A 0 −69036
MF Global −7.5 N/A N/A 0.76 N/A N/A Inline graphic −57976
T K nearest-neighbours −7.5 N/A 5 0.77 N/A N/A 0.077 −58114
S1 Spatial, symmetric −7.5 0.20Inline graphic N/A 1.35 N/A N/A Inline graphic −60035
S2 Spatial, forward −7.5 0.16Inline graphic N/A 1.37 N/A N/A 0 −59102
S3 Spatial, symmetric −7.5 0.20Inline graphic N/A 1.72 0.23 N/A Inline graphic −62297
S4 Spatial, forward −7.5 0.19Inline graphic N/A 1.69 0.52 N/A 0 −62004
D1 Spatial, symmetric −7.5 0.18Inline graphic N/A 1.08 N/A 0.87 0.097 −58094
D2 Spatial, forward −7.5 0.19Inline graphic N/A 0.75 N/A 0.94 0.15 −58499
D3 Spatial, symmetric −7.5 0.19Inline graphic N/A 0.99 −3.59 0.92 0.17 −57963
D4 Spatial, forward −7.5 0.19Inline graphic N/A 1.08 0.32 0.92 Inline graphic −58512

The interaction zone structure of each model, along with the (maximum a posteri) inferred values of model parameters, the Inline graphic-value indicating quality-of-fit between experimental results and model simulations and the log marginal likelihood (Inline graphic) of the model calculated from the fine scale dynamics (as shown in Figure 3. Inline graphic-values reported as zero are smaller than numerical precision, i.e Inline graphic). 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.