Abstract
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.
Highlights
Spatial management requires searching for new tools to analyze spatial data analysis to optimize operations related to spatial planning in line with sustainable development
Four value aggregation paths lead to the emergence of several levels of value aggregation and to the creation of scale-free hierarchical network structures
In order for the main aim to be achieved, this study focuses on the development of innovative algorithms of network models of structures occurring in the space due to spatial differentiation
Summary
Spatial management requires searching for new tools to analyze spatial data analysis to optimize operations related to spatial planning in line with sustainable development. Thethere preferences natural (spontaneous), According to themade theory scale-free networks, are rulescan forbe the preferential connection of for example, those which generate a hydrological network orlaw natural phenomena an fornodes example, those which generate a result hydrological network [30] [30]. The scale-free networks already large number of connections; this results in nodes with an increasing number of connections as are characterized and distinguished from random networks by a power-law distribution. The ability to model space and phenomena taking place within it as a network makes it possible to analyze their structure, determine their nature, and make use of the properties characterizing it Those new research tools allow us to draw conclusions for the optimal usage of space (management) as well as its protection, especially when the network has a scale-free character. The authors attempted to describe the character of these spatial structures (random or scale-free) and to demonstrate the possibilities for the use of these network models’ properties
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