Top

Journal of Geographical Systems

Published in:

01-07-2013 | Original Article

Effects of scale in spatial interaction models

Authors: Giuseppe Arbia, Francesca Petrarca

Published in: Journal of Geographical Systems | Issue 3/2013

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

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.

previous article Testing spatial autocorrelation in weighted networks: the modes permutation test

next article A spatial interaction model with spatially structured origin and destination effects

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Arbia G (1989) Spatial data configuration in the statistical analysis of regional economics and related problems. Kluwer, DordrechtCrossRef

Arbia G, Petrarca F (2011) Effects of MAUP on spatial econometric. Lett Spat Resour Sci 4(3):173–185CrossRef

Cliff AD, Ord JK (1981) Spatial processes: models and applications. Pion, London

Cramer JS (1964) Efficient grouping, regression and correlation in Engel curve analysis. J Am Stat Assoc 59:233–250CrossRef

Eurostat (2012) http://epp.eurostat.ec.europa.eu/portal/page/portal/nuts_nomenclature/introduction

Griffith DA (2009) Modeling spatial autocorrelation in spatial interaction data: empirical evidence from 2002 Germany journey-to-work flows. J Geogr Syst 11(2):117–140CrossRef

Haitovsky J (1973) Regression estimation from grouped observations. Hafner Press, New York, Griffin, Statistical Courses and monographs, No. 33

LeSage J, Fisher M (2010) Spatial econometric methods for modeling origin-destination flows. In: Fischer MM, Getis A (eds) Handbook of applied spatial analysis. Springer, Berlin

Openshaw S, Taylor PJ (1979) A million or so of correlated coefficients: three experiments on the modifiable areal unit problem. In: Wrigley N (ed) Statistical applications in the spatial sciences. Pion, London, pp 120–438

Orcutt GH, Watts HW, Edwards JB (1968) Data aggregation and information loss. Am Econ Rev 58:773–787

Pesaran MH, Pierse RG, Kumar MS (1989) Econometric analysis of aggregation in the context of linear prediction models. Econometrica 57(4):861–888

Prais S, Aitchinson J (1954) The grouping of observations in regression analysis. Rev Int Stat Inst 1:1–22CrossRef

Theil H (1954) Linear aggregation on economic relations. North-Holland Publ. Company, Amsterdam

Yule U, Kendall MS (1950) An introduction to the theory of statistics. Griffin, London

Zellner A (1962) An efficient method of estimating seemingly unrelated regression equations and tests for aggregation bias. J Am Stat Assoc 57:348–368CrossRef

Title: Effects of scale in spatial interaction models
Authors: Giuseppe Arbia
Francesca Petrarca
Publication date: 01-07-2013
Publisher: Springer-Verlag
Published in: Journal of Geographical Systems / Issue 3/2013
Print ISSN: 1435-5930
Electronic ISSN: 1435-5949
DOI: https://doi.org/10.1007/s10109-013-0180-9

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 3/2013

Editorial: Advances in the statistical modelling of spatial interaction data

Testing spatial autocorrelation in weighted networks: the modes permutation test

The effects of World Heritage Sites on domestic tourism: a spatial interaction model for Italy

Social networks and trade of services: modelling interregional flows with spatial and network autocorrelation effects

Constrained variants of the gravity model and spatial dependence: model specification and estimation issues

A spatial interaction model with spatially structured origin and destination effects

Premium Partner