The Growth of an Urban Cluster into a Dynamic Self-Modifying Spatial Pattern

Abstract

In this study I will analyse the growth of an urban cluster resulting from interaction with a dynamic spatial pattern comprised of cells and roads. In this case, the cells grow in an irregular pattern and can change in number and state, and the roads direct the growth pattern of the urban cluster and stimulate cell generation. The coupled effects of a cellular mechanism and a road network and the long-distance effects determined by spatial mobility are presented in two forms: first in a theoretical framework, and then through numerical simulation in which various sets of key parameters are utilised. A model is proposed in which growth is related to the fractal dimension of the cluster. Finally, conclusions are drawn for the long-run effects of morphology modification in relation to land use and to spatial pattern.

Calibrating Metronamica Land Use Simulation Model for Colombo, Sri Lanka

“…In recent years several scholarly attempts have been made on different theoretically under pinning issues regarding CA application to urban studies. Batty and Xie (1997) and Clarke, Hoppen, and Gaydos (1997) studied the application of important evolutions of CA to real world problems, Semboloni (2000) studied urban infrastructure development, O'Sullivan (2001)used an integrated approach based on CA and on graph theory to study gentrification, and, Silva and Clarke (2002) Metronamica simulates land use changes based on a number of different drivers. First, there are external factors such as population growth or the decrease of natural land uses, such as deforestation or reclamation of marshy lands that determine the demand for different land uses.…”

The Improved Cellular Automata and Its Application in Delineation of Urban Spheres of Influence

“…This kind of neighborhood is homogeneous; that is, the distribution, size and shape of cellular neighborhoods are the same [6]. Cellular automata have drawn more and more attention from multiple fields with further research [7][8][9][10][11], which contributes to the extension of the definition of neighborhoods [12,13]. The distribution of neighborhoods extended to 5 × 5 or 7 × 7 windows [14].…”

A Minimal Prototype for Integrating GIS and Geographic Simulation through Geographic Automata Systems

“…In the last decade it became clear, however, that reliance on regular partitions of space is largely superficial in urban contexts (Torrens and O'Sullivan 2001). Consequently, CA have been implemented on irregular networks (Figure 1b), or partitions given by GIS-based coverage of land parcels or Voronoi tessellations ( Figure 1c) (Shi and Pang 2000;Semboloni 2000;O'Sullivan 2001;Benenson, Omer, and Hatna 2002). An assortment of definitions of neighborhoods, based on connectivity, adjacency, or distance can be applied to these generalized CA, where the form of the neighborhood and the number of neighbors varies between automata.…”