<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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</p></abstract>

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

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

Business Systems Research Journal

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Background: Hierarchical functional regions (FRs) can be calculated using data on interactions between basic spatial units (BSUs) and a hierarchical...

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

Published Online: Jul 28, 2018

Page range: 45 - 54

Received: Feb 16, 2018

Accepted: Apr 21, 2018

DOI: https://doi.org/10.2478/bsrj-2018-0018

Keywords
comparison, clustering measure, metric measure, SM-measure, average maximum proportion, hierarchical functional regions, municipalities, Slovenia

© 2018 Samo Drobne, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jul 28, 2018

Page range: 45 - 54

Received: Feb 16, 2018

Accepted: Apr 21, 2018

DOI: https://doi.org/10.2478/bsrj-2018-0018

Keywordscomparison, clustering measure, metric measure, SM-measure, average maximum proportion, hierarchical functional regions, municipalities, Slovenia

© 2018 Samo Drobne, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
comparison, clustering measure, metric measure, SM-measure, average maximum proportion, hierarchical functional regions, municipalities, Slovenia