Figure 21

Evolution of the exponents of daily directed and undirected freight highway transportation networks. (a) Scatter data of \(F_{ij}\) with respect to \((G_{i}/P_{i})^{\alpha_{1}}(G_{j}/P_{j})^{\alpha_{2}}/d_{ij}^{\alpha _{3}}\) for the directed network. (b) Binning data of \(F_{ij}\) with respect to \((G_{i}/P_{i})^{\alpha_{1}}(G_{j}/P_{j})^{\alpha_{2}}/d_{ij}^{\alpha_{3}}\) for the directed network. (c) Scatter data of \(W_{ij}\) with respect to \((G_{i}/P_{i})^{\alpha_{1}}(G_{j}/P_{j})^{\alpha_{2}}/d_{ij}^{\alpha_{3}}\) for the undirected network. (d) Binning data of \(W_{ij}\) with respect to \((G_{i}/P_{i})^{\alpha_{1}}(G_{j}/P_{j})^{\alpha_{2}}/d_{ij}^{\alpha_{3}}\) for the undirected network