Segmentation and Filtering into Neighborhoods as Processes of Percolation and Diffusion: Stochastic Processes (Randomness) as the Null Hypothesis

M H Krieger
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M H Krieger: School of Urban and Regional Planning, University of Southern California, Los Angeles, CA 90089-0042, USA

Environment and Planning A, 1991, vol. 23, issue 11, 1609-1626

Abstract: A set of models is reviewed in which orderly urban phenomena are accounted for in terms of noise (randomness, stochastic processes): segmentation as a process of runs in random processes (percolation); filtering as a process of random walk and so diffusion, and as a Markov process. In particular, ‘continuity’ of the spatial price envelope, a truism of real estate, leads to the diffusion equation. No foreordained centers, boundaries, or gravity (or entropy) is needed to obtain clustering in these models. The models are combined in a simulation, implemented in a Lotus 1-2-3 spreadsheet, as well as in a partial differential equation driven by a stochastic source term.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envira:v:23:y:1991:i:11:p:1609-1626

DOI: 10.1068/a231609

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