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Article

Development of the Theory of Six Value Aggregation Paths in Network Modeling for Spatial Analyses

1
Department of Geodesy, Institute of Geodesy and Civil Engineering, Faculty of Geoengineering, University of Warmia and Mazury in Olsztyn, 10-720 Olsztyn, Poland
2
Department of Geoinformation and Cartography, Institute of Geodesy and Civil Engineering, Faculty of Geoengineering, University of Warmia Mazury in Olsztyn, 10-720 Olsztyn, Poland
*
Author to whom correspondence should be addressed.
ISPRS Int. J. Geo-Inf. 2020, 9(4), 234; https://doi.org/10.3390/ijgi9040234
Received: 17 February 2020 / Revised: 23 March 2020 / Accepted: 8 April 2020 / Published: 10 April 2020
(This article belongs to the Special Issue Geodata Science and Spatial Analysis in Urban Studies)
The dynamic development of spatial structures entails looking for new methods of spatial analysis. The aim of this article is to develop a new theory of space modeling of network structures according to six value aggregation paths: minimum and maximum value difference, minimum and maximum value decrease, and minimum and maximum value increase. The authors show how values presenting (describing) various phenomena or states in urban space can be designed as network structures. The dynamic development of spatial structures entails looking for new methods of spatial analysis. This study analyzes these networks in terms of their nature: random or scale-free. The results show that the paths of minimum and maximum value differences reveal one stage of the aggregation of those values. They generate many small network structures with a random nature. Next four value aggregation paths lead to the emergence of several levels of value aggregation and to the creation of scale-free hierarchical network structures. The models developed according to described theory present the quality of urban areas in various versions. The theory of six paths of value combination includes new measuring tools and methods which can impact quality of life and minimize costs of bad designs or space destructions. They are the proper tools for the sustainable development of urban areas. View Full-Text
Keywords: network model; spatial analysis; scale-free network; value aggregation network model; spatial analysis; scale-free network; value aggregation
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MDPI and ACS Style

Kowalczyk, A.M.; Bajerowski, T. Development of the Theory of Six Value Aggregation Paths in Network Modeling for Spatial Analyses. ISPRS Int. J. Geo-Inf. 2020, 9, 234. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040234

AMA Style

Kowalczyk AM, Bajerowski T. Development of the Theory of Six Value Aggregation Paths in Network Modeling for Spatial Analyses. ISPRS International Journal of Geo-Information. 2020; 9(4):234. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040234

Chicago/Turabian Style

Kowalczyk, Anna M., and Tomasz Bajerowski. 2020. "Development of the Theory of Six Value Aggregation Paths in Network Modeling for Spatial Analyses" ISPRS International Journal of Geo-Information 9, no. 4: 234. https://0-doi-org.brum.beds.ac.uk/10.3390/ijgi9040234

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