Title
Effects of scale in spatial interaction models.
Abstract
We study the effects of aggregation on four different cases of nonlinear spatial gravity models. We present some theoretical results on the relationship between the mean flows at an aggregated level and the mean flow at the disaggregated level. We then focus on the case of perfect aggregation (scale problem) showing some results based on the theoretical expressions previously derived and on some artificial data. The main aim is to test the effects on the aggregated flows of the spatial dependence observed in the origin and in the destination variables. We show that positive spatial dependence in the origin and destination variables moderate the increase of the mean flows connatural with aggregation while negative spatial dependence exacerbates it.
Year
DOI
Venue
2013
10.1007/s10109-013-0180-9
Journal of Geographical Systems
Keywords
Field
DocType
modifiable areal unit problem
Econometrics,Spatial dependence,Mean flow,Nonlinear system,Expression (mathematics),Modifiable areal unit problem,Spatial interaction,Statistics,Geography
Journal
Volume
Issue
ISSN
15
3
1435-5949
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Giuseppe Arbia1388.79
Francesca Petrarca200.34