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Applications in Urban Dynamics and Transport

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Modelling with the Master Equation

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Abstract

This chapter deals with urban dynamics and transport. We start with the development of an integrated transport and urban/regional model (STASA transport model), based on the Master equation framework. The traffic subsystem as well as the urban/regional subsystem form a complex intertwined system. Its dynamics take place on different time scales but are modelled making use of the same principles. The interactions between transport and urban/regional development are investigated for a peri-urban area, where the effects are expected to be very strong. The study area is situated in the Region of Stuttgart along the Stuttgart—Zurich corridor. The influence of the motorway A81 and the light rail system S1 that runs parallel to the A81 on urban development are considered and discussed. The model building framework of the Master equation is one more used for the construction of spatial interaction models. It will be outlined how some of the usual limitations in model building can be circumvented. Our broader overall framework with full probabilistic dynamic underpinning also facilitates extensions in a number of directions. For instance, it becomes obvious how conventional spatial-interaction models can be derived and generalized, especially how fundamental dynamic aspects can be introduced. The different decision processes of developers, retailers and land owners are modelled in a rather general manner. The service sector model of Harris and Wilson will be obtained as a special case.

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Authors and Affiliations

  1. Institute of Theoretical Physics II, University of Stuttgart, Stuttgart, Germany

    Günter Haag

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Haag, G. (2017). Applications in Urban Dynamics and Transport. In: Modelling with the Master Equation. Springer, Cham. https://doi.org/10.1007/978-3-319-60300-1_9

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