sponsorship: This work was supported by a sabbatical grant by FWO and internal funding of KU Leuven C14/22/036. This work was supported by patronage funding provided to KU Leuven for carrying out fundamental scientific research into urban processes and change. (FWO and internal funding of KU Leuven|C14/22/036, KU Leuven)
Loopmans et al. (Tue,) studied this question.