A model for urban growth processes with continuum state cellular automata and related differential equations
msra(2004)
摘要
A new kind of cellular automaton (CA) for the study of the dynamics of urban
systems is proposed. The state of a cell is not described using a finite set,
but by means of continuum variables. A population sector is included, taking
into account migration processes from and towards the external world. The
transport network is considered through an integration index describing the
capability of the network to interconnect the different parts of the city. The
time evolution is given by Poisson distributed stochastic jumps affecting the
dynamical variables, with intensities depending on the configuration of the
system in a suitable set of neighbourhoods. The intensities of the Poisson
processes are given in term of a set of potentials evaluated applying fuzzy
logic to a practical method frequently used in Switzerland to evaluate the
attractiveness of a terrain for different land uses and the related rents. The
use of a continuum state space enables one to write a system of differential
equations for the time evolution of the CA and thus to study the system from a
dynamical systems theory perspective. This makes it possible, in particular, to
look systematically for bifurcations and phase transitions in CA based models
of urban systems.
更多查看译文
关键词
phase transition,cellular automata,dynamic systems theory,poisson process,differential equation,indexation,fuzzy logic,state space,cellular automaton,poisson distribution
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络