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. 2013 May 14;110(22):8824–8829. doi: 10.1073/pnas.1222441110

Table 1.

Empirical estimates for β and Inline graphic

Country Total distance traveled, passengers per kilometer per year Total length, kilometers Inline graphic, passengers per year Maintenance cost, Euros per year Average ticket price, Euros per kilometer β, passengers per year Inline graphic
France Inline graphic Inline graphic Inline graphic Inline graphic 0.12 Inline graphic 0.20
Germany Inline graphic Inline graphic Inline graphic Inline graphic 0.30 Inline graphic 0.32
India Inline graphic Inline graphic Inline graphic Inline graphic 0.01 Inline graphic 0.31
Italy Inline graphic Inline graphic Inline graphic Inline graphic 0.20 Inline graphic 0.53
Spain Inline graphic Inline graphic Inline graphic Inline graphic 0.11 Inline graphic 1.26
Switzerland Inline graphic Inline graphic Inline graphic Inline graphic 0.17 Inline graphic 0.66
United Kingdom Inline graphic Inline graphic Inline graphic Inline graphic 0.16 Inline graphic 1.19
United States Inline graphic Inline graphic Inline graphic Inline graphic 0.11 Inline graphic 1.56

This table gives the total ride distance (in kilometers), the total network length (in kilometers), the total annual maintenance expenditure (in Euros per year), and the average ticket price (in Euros per kilometer). All the given values correspond to the year 2011. From these data, we compute the empirical values of β and Inline graphic, as well as their ratio (data obtained from various sources, such as financial reports of railway companies).