Spatiotemporal evolution of urban populations and housing: A dynamic utility-driven market-mediated model
Fig 10
Evolution of contributions to utility vs. distance r from the peak of U0, each curve smoothed to remove short-scale fluctuations for clarity.
(a) Mean dwelling price B0(r) at various times indicated by the legend. The plot at t = 0 years occurs just after dwelling assignment; prior to dwelling assignment, B0 is uniformly zero and is not shown explicitly. (b) Contributions to mean household utility U(r), as indicated by the legend. (c) Expanded view of mean household utility U(r) as a function of distance r from the maximum of U0 at (12.5, 12.5), as indicated by the legend.