Table 1. This table displays the value of the exponent governing the behavior with the population P obtained by naive arguments and the value obtained from empirical data. The discrepancies reveal the failure of the naive scaling arguments and the necessity to go further and model mobility patterns. The data used for this table can be found in³⁸,³⁹,⁴⁰.

Quantity	Naive exponent	Measured value
	1	0.85 ± 0.011 (r2 = 0.93)
	0.5	0.42 ± 0.02 (r2 = 0.83)
	1	0.86 ± 0.02 (r2 = 0.92)
	[1/2, 1]	0.60 ± 0.03 (r2 = 0.90)
	1	0.03 ± 0.02 (r2 = 0.04)