Dynamics of land-use for a closed city

This paper analyses land-use patterns in a closed only when experiences a discontinuous population change that is anticipated by developers. At each location, developers choose among five development strategies: constructing a building at time zero which is left standing forever, constructing a building at time zero and replacing it at the date τ of the population change, farming the land until τ, with residential development thereafter, and vice-versa, farming the land continuously. By deriving admissable spatial patterns for these five strategies, the analysis is able to characterize the spatial and temporal pattern of land-use in a closed city.