The Influence of the Zonation Effect on a System of Hierarchical Functional Regions

Background: Hierarchical functional regions (FRs) can be calculated using data on interactions between basic spatial units (BSUs) and a hierarchical aggregation procedure. However, the results depend on the selected system of initial BSUs. In spatial sciences, this is known as the zonation effect, w...

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Main Authors: Drobne Samo, Lakner Mitja
Format: Article
Language:English
Published: Sciendo 2018-07-01
Series:Business Systems Research
Subjects:
Online Access:https://doi.org/10.2478/bsrj-2018-0018
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author Drobne Samo
Lakner Mitja
author_facet Drobne Samo
Lakner Mitja
author_sort Drobne Samo
collection DOAJ
description Background: Hierarchical functional regions (FRs) can be calculated using data on interactions between basic spatial units (BSUs) and a hierarchical aggregation procedure. However, the results depend on the selected system of initial BSUs. In spatial sciences, this is known as the zonation effect, which is one of the effects of the Modifiable Areal Unit Problem (MAUP). Objectives: In this paper, we analyse the influence of the zonation effect on a system of hierarchical functional regions. Methods/Approach: We compared two systems of hierarchical functional regions of Slovenia modelled by the Intramax aggregation procedure using the inter-municipal labour commuting flows for the same year, but for two different initial sets of municipalities. Besides, we have introduced a new measure to compare systems of hierarchical FRs. Results: The results show that the zonation effect has an influence on hierarchical functional regions. The clustering comparison measure suggested here is a metric measure, which is appropriate for comparing hierarchical FRs. Conclusions: The zonation effect has influence on hierarchical FRs. The clustering comparison measure suggested in this paper is easy to interpret, but it should be adjusted for the number of clusterings
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spelling doaj.art-c53a09987fff4c798d6299e347c1d0692022-12-22T03:38:48ZengSciendoBusiness Systems Research1847-93752018-07-0192455410.2478/bsrj-2018-0018The Influence of the Zonation Effect on a System of Hierarchical Functional RegionsDrobne Samo0Lakner Mitja1Faculty of Civil and Geodetic Engineering, University of Ljubljana,Ljubljana, SloveniaFaculty of Civil and Geodetic Engineering, University of Ljubljana,Ljubljana, SloveniaBackground: Hierarchical functional regions (FRs) can be calculated using data on interactions between basic spatial units (BSUs) and a hierarchical aggregation procedure. However, the results depend on the selected system of initial BSUs. In spatial sciences, this is known as the zonation effect, which is one of the effects of the Modifiable Areal Unit Problem (MAUP). Objectives: In this paper, we analyse the influence of the zonation effect on a system of hierarchical functional regions. Methods/Approach: We compared two systems of hierarchical functional regions of Slovenia modelled by the Intramax aggregation procedure using the inter-municipal labour commuting flows for the same year, but for two different initial sets of municipalities. Besides, we have introduced a new measure to compare systems of hierarchical FRs. Results: The results show that the zonation effect has an influence on hierarchical functional regions. The clustering comparison measure suggested here is a metric measure, which is appropriate for comparing hierarchical FRs. Conclusions: The zonation effect has influence on hierarchical FRs. The clustering comparison measure suggested in this paper is easy to interpret, but it should be adjusted for the number of clusteringshttps://doi.org/10.2478/bsrj-2018-0018comparisonclustering measuremetric measuresm-measureaverage maximum proportionhierarchical functional regionsmunicipalitiesslovenia
spellingShingle Drobne Samo
Lakner Mitja
The Influence of the Zonation Effect on a System of Hierarchical Functional Regions
Business Systems Research
comparison
clustering measure
metric measure
sm-measure
average maximum proportion
hierarchical functional regions
municipalities
slovenia
title The Influence of the Zonation Effect on a System of Hierarchical Functional Regions
title_full The Influence of the Zonation Effect on a System of Hierarchical Functional Regions
title_fullStr The Influence of the Zonation Effect on a System of Hierarchical Functional Regions
title_full_unstemmed The Influence of the Zonation Effect on a System of Hierarchical Functional Regions
title_short The Influence of the Zonation Effect on a System of Hierarchical Functional Regions
title_sort influence of the zonation effect on a system of hierarchical functional regions
topic comparison
clustering measure
metric measure
sm-measure
average maximum proportion
hierarchical functional regions
municipalities
slovenia
url https://doi.org/10.2478/bsrj-2018-0018
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