Approaches to Residential Location Modelling 2: Urban Economic Models and Some Recent Developments (A Review)

1974 ◽  
Vol 6 (4) ◽  
pp. 369-409 ◽  
Author(s):  
M L Senior
Keyword(s):  
Predictive Models ◽  
Critical Appraisal ◽  
Spatial Interaction ◽  
Theoretical Work ◽  
Recent Model ◽  
Economic Theories ◽  
Spatial Interaction Models ◽  
Urban Economic ◽  
Recent Developments ◽  
Operational Models

This is the second half of a two part paper reviewing models of the residential subsystem. Part 1 (Senior, 1973)(1) covered urban ecological and spatial interaction models, and concluded on the theme that improved operational predictive models may result from an increased awareness of theoretical work. The theme is continued here with a critical appraisal of economic theories of the housing market and the operational models that urban economists have devised. This provides the basis for a wider ranging review of the ties between existing theories and some recent model developments.

Approaches to Residential Location Modelling 1: Urban Ecological and Spatial Interaction Models (A Review)

1973 ◽  
Vol 5 (2) ◽  
pp. 165-197 ◽  
Author(s):  
M L Senior
Keyword(s):  
Spatial Interaction ◽  
Residential Location ◽  
Economic Models ◽  
Chronological Order ◽  
Interaction Models ◽  
Spatial Interaction Models ◽  
Urban Economic

This is the first part of a two part paper concerned with modelling the residential subsystem of cities. Three major modes of analysis are reviewed in depth—urban ecological and spatial interaction models in Part 1, urban economic models in Part 2. Developments in each field are documented in a roughly chronological order, and assessments are made of the models themselves and the style of modelling. It will be shown in Part 2 that the diverse experiences gained in each field suggest possibilities for synthesising the best elements and underlying concepts of each approach. The review itself is prefaced by a description of the structure of the residential subsystem. It is stressed at the outset that the emphasis is largely, but not exclusively, on models defined as operational constructs rather than on theoretical propositions.

On the Relationship between Alonso's Theory of Movement and Wilson's Family of Spatial-Interaction Models

1981 ◽  
Vol 13 (2) ◽  
pp. 217-224 ◽  
Author(s):  
J Ledent
Keyword(s):  
Input Data ◽  
Spatial Interaction ◽  
System Of Equations ◽  
Interaction Models ◽  
Spatial Interaction Models ◽  
Standard Family ◽  
Original Contribution ◽  
Standard Models ◽  
The Relationship

This paper compares the system of equations underlying Alonso's theory of movement with that of Wilson's standard family of spatial-interaction models. It is shown that the Alonso model is equivalent to one of Wilson's four standard models depending on the assumption at the outset about which of the total outflows and/or inflows are known. This result turns out to supersede earlier findings—inconsistent only in appearance—which were derived independently by Wilson and Ledent. In addition to this, an original contribution of this paper—obtained as a byproduct of the process leading to the aforementioned result—is to provide an exact methodology permitting one to solve the Alonso model for each possible choice of the input data.

Effects of scale in spatial interaction models

2013 ◽  
Vol 15 (3) ◽  
pp. 249-264 ◽  
Author(s):  
Giuseppe Arbia ◽  
Francesca Petrarca
Keyword(s):  
Spatial Interaction ◽  
Interaction Models ◽  
Spatial Interaction Models

scholarly journals Defining Urban Science

2021 ◽  
pp. 15-28
Author(s):  
Michael Batty
Keyword(s):  
Spatial Structure ◽  
Spatial Interaction ◽  
Urban Informatics ◽  
Form And Function ◽  
Urban Science ◽  
Operational Models ◽  
And Function ◽  
The City ◽  
Different Levels

AbstractThis introductory chapter provides a brief overview of the theories and models that constitute what has come to be called urban science. Explaining and measuring the spatial structure of the city in terms of its form and function is one of the main goals of this science. It provides links between the way various theories about how the city is formed, in terms of its economy and social structure, and how these theories might be transformed into models that constitute the operational tools of urban informatics. First the idea of the city as a system is introduced, and then various models pertaining to the forces that determine what is located where in the city are presented. How these activities are linked to one another through flows and networks are then introduced. These models relate to formal models of spatial interaction, the distribution of the sizes of different cities, and the qualitative changes that take place as cities grow and evolve to different levels. Scaling is one of the major themes uniting these different elements grounding this science within the emerging field of complexity. We then illustrate how we might translate these ideas into operational models which are at the cutting edge of the new tools that are being developed in urban informatics, and which are elaborated in various chapters dealing with modeling and mobility throughout this book.

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