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Applying Distributional Approaches to Understand Patterns of Urban Differentiation

abstract: Urban scaling analysis has introduced a new scientific paradigm to the study of cities. With it, the notions of <italic>size</italic>, <italic>heterogeneity</italic> and <italic>structure</italic> have taken a leading role. These notions are assumed to be behind the causes for why cities differ from one another, sometimes wildly. However, the mechanisms by which size, heterogeneity and structure shape the general statistical patterns that describe urban economic output are still unclear. Given the rapid rate of urbanization around the globe, we need precise and formal mathematical understandings of these matters. In this context, I perform in this dissertation probabilistic, distributional and computational explorations of (i) how the broadness, or narrowness, of the distribution of individual productivities within cities determines what and how we measure urban systemic output, (ii) how urban scaling may be expressed as a statistical statement when urban metrics display strong stochasticity, (iii) how the processes of aggregation constrain the variability of total urban output, and (iv) how the structure of urban skills diversification within cities induces a multiplicative process in the production of urban output. / Dissertation/Thesis / Doctoral Dissertation Applied Mathematics for the Life and Social Sciences 2014

Identiferoai:union.ndltd.org:asu.edu/item:25957
Date January 2014
ContributorsGomez-Lievano, Andres (Author), Lobo, José (Advisor), Muneepeerakul, Rachata (Advisor), Bettencourt, Luís M. A. (Committee member), Chowell-Puente, Gerardo (Committee member), Arizona State University (Publisher)
Source SetsArizona State University
LanguageEnglish
Detected LanguageEnglish
TypeDoctoral Dissertation
Format181 pages
Rightshttp://rightsstatements.org/vocab/InC/1.0/, All Rights Reserved

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