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Figure 1.

Observed group size distribution in populations A and B.

The light grey curve indicates the zero-truncated Poisson fit () with and for populations A and B, respectively.

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Figure 2.

Effects of group size on walking speed.

Average walking speed as a function of group size at low density (light grey) and moderate density (dark grey). Error bars indicate the standard error of the mean value. The fit curves are y = −0.04x+1.26 for population A and y = −0.08x+1.24 for population B.

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Figure 3.

Illustration of the measurement method.

We define and dij as the angle and distance between pedestrians i and j, where i and j belong to the same group and j is i's closest neighbour on the right-hand side.

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Figure 4.

Average patterns of organization.

The positions of pedestrians are reconstructed from the empirical angle and distance values provided in table 1 (dark grey), and from simulation results (light grey). The best fit parameters were obtained through a calibration process and amount to = 4; = 3; = 1; do = 0.8 m; = 90°.

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Table 1.

Average angle and distance values between group members for each group size and density level.

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Table 1 Expand

Figure 5.

Illustration of the model variables.

a) is the gazing direction vector of pedestrian i. The dashed lines represent the borders of the visual field. b) Pedestrian i rotates his head direction by an angle , so that the focus point ci is included in the vision field.

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Figure 6.

Simulation results for pedestrian groups with and without communication-enhancing interactions.

(a) Speed-density curves showing the impact of group organization on traffic efficiency. For = 0, group members are attracted by the group's centre of mass only letting them stay together. This creates an inverse V-shaped configuration. For = 4, the value determined from our empirical observations, group members adapt their position to see the other group members, creating a V-shaped configuration. The dashed curve corresponds to simulations with isolated pedestrians only (no groups). (b) Illustration of typical group patterns for = 0 and = 4 at a density of 0.25 ped/m2. The simulation parameters are the same as in figure 4.

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