Figure 8

The histograms at left illustrate the distribution of monthly rent changes after optimisation, for the Refugee–Refugee and Refugee–Turkish networks respectively. The height of the vertical bars indicates the number of relocated refugees whose rent payments increased or decreased by the value indicated on the horizontal axis. Subsequently, the maps at right indicate, for each respective network, the total monthly rent change per district. That is, the product, for each origin district j and destination district i, of the difference in rent cost between j and i and the number of refugees moved m to the destination district. Thus, formally, the reported rent change per district i is obtained as \(v_{i} = \sum_{\forall j}m_{ij}(c_{i}-c_{j})\)