Ivan Muñiz () (Departament d'Economia Aplicada, Universitat Autonoma de Barcelona) Anna Galindo Miguel Ángel García (Departament d'Economia Aplicada, Universitat Autonoma de Barcelona)
Abstract
The presence of subcentres cannot be captured by an exponential function. Cubic spline functions seem more appropriate to depict the polycentricity pattern of modern urban systems. Using data from Barcelona Metropolitan Region, two possible population subcentre delimitation procedures are discussed. One, taking an estimated derivative equal to zero, the other, a density gradient equal to zero. It is argued that, in using a cubic spline function, a delimitation strategy based on derivatives is more appropriate than one based on gradients because the estimated density can be negative in sections with very low densities and few observations, leading to sudden changes in estimated gradients. It is also argued that using as a criteria for subcentre delimitation a second derivative with value zero allow us to capture a more restricted subcentre area than using as a criteria a first derivative zero. This methodology can also be used for intermediate ring delimitation.
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Publisher Info
Paper provided by Department of Applied Economics at Universitat Autonoma of Barcelona in its series Working Papers with number
wpdea0209.
Find related papers by JEL classification: R14 - Urban, Rural, and Regional Economics - - General Regional Economics - - - Land Use Patterns R40 - Urban, Rural, and Regional Economics - - Transportation Systems - - - General
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