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Table 3

Counts-in-cells best fit fV(N) – all parameters free.

Sample NBD GQED

Pop Cells r g χ 2 d.o.f. d χ 2 d.o.f.

1 195 079 8 13.08 ± 0.09 1.131 ± 0.014 124.56 124 13.12 ± 0.08 0.761 ± 0.0008 417.87 124
167 367 12 44.1 ± 0.2 0.59 ± 0.006 97.75 215 45.67 ± 0.18 0.8177 ± 0.0008 326.54 215
144 938 16 102.5 ± 0.8 0.373 ± 0.005 17.04 120 115.66 120
123 972 20 200.1 ± 1.6 11.01 100 206.4 ± 1.7 0.87 ± 0.0017 60.2 100
215 408 24 338 ± 3 0.191 ± 0.005 6.71 115 347 ± 3 0.8812 ± 0.0018 24.65 115

2 218 339 8 2.81 ± 0.02 1.53 ± 0.03 35.79 34 2.75 ± 0.04 0.575 ± 0.003 51.69 34
196 647 12 9.34 ± 0.07 0.848 ± 0.017 34.04 60 9.36 ± 0.09 0.672 ± 0.003 59.87 60
177 485 16 22.54 ± 0.18 0.488 ± 0.01 29.17 96 23.02 ± 0.18 0.715 ± 0.003 78.22 96
161 357 20 43.7 ± 0.3 0.336 ± 0.007 18.85 132 44.6 ± 0.4 22.9 132
147 554 24 75 ± 0.6 0.241 ± 0.008 9.62 87 76.6 ± 0.8 0.777 ± 0.004 8.81 87

Log Normal Log Normal + bias

N C χ2 d.o.f. C b b χ2 d.o.f.

1 195 079 8 13.17 ± 0.09 1.66 ± 0.02 1097.83 124 12.53 ± 0.1 0.71 ± 0.03 1.42 ± 0.02 238.17 123
167 367 12 46.6 ± 0.2 0.743 ± 0.011 542.29 215 44.5 ± 0.3 0.4005 ± 0.0005 1.297 ± 0.009 96.42 214
144 938 16 107.4 ± 0.9 0.447 ± 0.011 157.18 120 103.9 ± 0.7 0.241 ± 0.017 1.29 ± 0.03 21.2 119
123 972 20 213 ± 2 0.308 ± 0.011 71.88 100 200 ± 2 0.113 ± 0.018 1.52 ± 0.1 7.08 99
215 408 24 351 ± 3 0.215 ± 0.008 30.03 115 338 ± 4 0.09 ± 0.015 1.48 ± 0.15 6.6 114

2 218 339 8 2.16 ± 0.05 5.6 ± 0.3 394.31 34 2.69 ± 0.04 1.1 ± 0.07 1.31 ± 0.03 50.03 33
196 647 12 9.65 ± 0.2 1.26 ± 0.05 201.82 60 9.18 ± 0.13 0.54 ± 0.04 1.35 ± 0.05 51.8 59
177 485 16 23.5 ± 0.2 0.547 ± 0.014 156.64 96 22.4 ± 0.3 0.252 ± 0.03 1.45 ± 0.07 29.54 95
161 357 20 45.3 ± 0.4 0.381 ± 0.011 45.87 132 44.1 ± 0.4 0.21 ± 0.02 1.3 ± 0.07 10.54 131
147 554 24 77.6 ± 0.9 0.269 ± 0.012 13.34 87 75.9 ± 1 0.16 ± 0.04 1.25 ± 0.1 6.03 86

Notes. Best fit parameters from the counts-in-cells distribution for our four probability functions. Different bin widths have been used, with wider bins for larger cells radii, resulting on different degrees of freedom for the χ2 fitting. See Sect. 5 for detailed information. Column “Cells” corresponds to the used number of cells in each case.

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