Task One:  Conceptual and technical framework

Background for Clarke Urban Growth Model (UGM)

    Theory behind UGM

    Cellular model defined on a regular square  grid.

    State transitions among land uses from one time period to the next

Set of rules that
 

  • select location at random
  • check attributes and weights of the neighboring cells

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    Five factors
     

  • diffusion factor
  • breed coefficient
  • spread coefficient,
  • slope resistance factor
  • road gravity factor

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    Input/Output Coupling & Adaptive Self-Modification

    Calibration
     

  • Historical Data for Urban Extent and Road Network for several Years
  • Twelve statistical descriptors of distribution and magnitude for  comparison of reality to model output
  • Iterative parameterization based on best results of previous runs
  • outcomes are merged to produce a single Monte Carlo probability surface

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    Main Objective of Task One

    To extend and adapt the Clarke model so that it may be used in conjunction with
    other submodels of natural and social processes to help explore complex crosscutting questions relating to urban change.

    Linking Models must incorporate

    1) Take advantage of empirical regularities
    2) Utilize the explanatory power of causal models
    3) Integrate the 'virtual laboratory' qualities of simulation models

    Sub Tasks for Task One

    1) Review the formal  structure, theoretical assumptions, levels of description, classes of observables, and data quality needs of a variety of models pertinent to
    urban change, as outlined in the previous section, and assess their
    compatibility with generalized CA models as developed by Clarke and others

    2) Investigate under what conditions these other types of models can
    be usefully linked with the CA-based urban models, in either a loosely coupled
    or a tightly coupled configuration.

    3)  Formulate a set of measures for assessing, comparing and classifying specific
    aspects of the model parameters and outputs, both global (e.g., stability, robustness,phase transitions, pattern descriptors) and local (e.g., spatial autocorrelation, spatial heterogeneity in systems properties and dynamics).

    4) Formulate and outline general model structures suitable for
    the investigation of specific kinds of research and policy questions involving
    either primarily the basic urban morphology models (IME-1), or other types
    of urban change questions where urban morphology is one of several key factors
    (IME-2).

    Expected Products/Output resulting from Task One

    Year 1:  A theoretical paper on integrated modeling for the urban geographic literature,
    explicating the role of complex systems theory and cellular models in simulating actual
    patterns of urban change. The special emphases in this paper will be the
    integration of social and natural phenomena and processes, and the coupling of
    dynamics at different levels of description.

    Year 2:  The development of the morphometric and statistical measures
    needed to allow rigorous model output analysis and comparison as well
    as effective calibration and validation.

    Year 3: Adaptation of the framework to the needs of policy formulation and
    analysis  and on the dissemination of both the theoretical results and the more
    applied findings of the research.

     

     


    Support for this project is from the National Science Foundation :

    Contact the project Web Master.