Figure 2
From: Urban spatial structures from human flow by Hodge–Kodaira decomposition
Potential identification for conceptual situations. (a–c) point peak situation represents an artificial monocentric city. There is an attractive location at the centre, to which people move from all other locations (a). Given an OD matrix generated by this situation, the potential estimated by the previous method1 is shown in panel (b) and that by the proposed method is shown in panel (c). (d-f) single peak situation is similar to the point peak situation, but the central place has some spatial extents (d). The potential is estimated by the previous method (e) and the proposed method (f), respectively. (g-i) double peak situation represents a polycentric city, in which there are two attractive places (g). The potential is estimated by the previous method (h) and the proposed method (i), respectively. (j-l) In the restricted area situation (j), the potentials at some locations (white cell) are not available (NA), because they are, for example, a restricted area or a lake. These NA locations cannot be the origin or destination of flow. The potential is estimated by the previous method (k) and the proposed method (l), respectively.
