Functional Form and Spatial Interaction Models

1998 ◽  
Vol 30 (8) ◽  
pp. 1497-1507 ◽  
Author(s):  
T J Fik ◽  
G F Mulligan
Keyword(s):  
Labor Migration ◽  
Functional Form ◽  
Spatial Interaction ◽  
Dummy Variables ◽  
Interaction Models ◽  
Spatial Interaction Models ◽  
Transformation Procedure ◽  
Interaction Modeling ◽  
Functional Forms ◽  
Log Linear

This paper is an examination of functional form and functional misspecification in regression-based spatial interaction models. Box–Cox transformations are used to model US state-to-state labor migration. Attention is given to the production-constrained gravity model, the competing and intervening destinations (CID) model, and an extension of the CID model which uses dummy variables and an iterative transformation procedure. Statistical evidence supports the argument that the use of highly restrictive log-linear specifications may be inappropriate and problematic. Implications for spatial interaction modeling using general nonrestrictive functional forms are discussed.

Calibration Procedures and Problems of Stability in Nonlinear Dynamic Spatial Interaction Modeling

1986 ◽  
Vol 18 (3) ◽  
pp. 341-350 ◽  
Author(s):  
S T Lombardo ◽  
G A Rabino
Keyword(s):  
Metropolitan Area ◽  
Nonlinear Dynamic ◽  
Spatial Interaction ◽  
Main Aspect ◽  
Interaction Models ◽  
Spatial Interaction Models ◽  
Intrinsic Stability ◽  
Wilson Model ◽  
Interaction Modeling ◽  
Spatial Interaction Modeling

The use of nonlinear dynamic spatial interaction models is one of the main approaches for the treatment of those phenomena of discontinuity and irreversibility which characterise the complexity of urban evolution. In this paper some methodological and operational problems which arise when a model of this kind, namely the Harris and Wilson model, is calibrated are dealt with. The main aspect of the calibration dealt with here is the problem of the separability of dynamics with different speeds (such as dynamics of stocks and dynamics of activities) when suitable data are lacking. It is shown, among other things, that a fundamental role is played by the intrinsic stability (or instability) of the equilibria of the model. The argument is illustrated by a set of simulations carried out on the Rome metropolitan area, relating to the retailing sector.

Proximate Aggregation-Estimation of Spatial Interaction Models

1984 ◽  
Vol 16 (4) ◽  
pp. 467-486 ◽  
Author(s):  
M Batty ◽  
P K Sikdar
Keyword(s):  
Spatial Interaction ◽  
Gravity Models ◽  
New Method ◽  
Entropy Measure ◽  
Interaction Models ◽  
Information Measures ◽  
Spatial Interaction Models ◽  
Entropy Measures ◽  
Log Linear ◽  
Parameter Values

In this paper the authors introduce a method of approximating the parameter values of gravity models from measures of information or entropy associated with the observed pattern of spatial interaction. The method builds on the previous work of the authors in which parameter values were estimated in a two-stage process which involved utilising the log-linear properties of entropy models through the canonical form of entropy, together with other approximations based on Kirby's method. Here the method is elaborated by adopting a consistent set of information measures to which the parameters of the model are related and this negates the need for other approximations. The original framework is first reviewed and then elaborated through the introduction of a weighted entropy measure. The traditional family of spatial interaction models is sketched and the new method developed for each of these models. The models are then applied to various aggregations of trip data in the Reading (United Kingdom) subregion, and estimates of parameter values based on the old, new, and conventional methods are compared. The new method is demonstrably superior to the old method and various extensions through the spatial disaggregation of entropy measures are noted in conclusion.

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

Some Supply and Demand Considerations in Urban Spatial Interaction Models

1984 ◽  
Vol 16 (9) ◽  
pp. 1137-1147 ◽  
Author(s):  
J R Roy ◽  
J F Brotchie
Keyword(s):  
Spatial Interaction ◽  
Supply And Demand ◽  
Interaction Models ◽  
Spatial Interaction Models
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