Abstract
An immanent feature of the housing market is a large spatial dispersion of real estate prices along with their simultaneous high stratification. Application of classic methods of data interpolation results in an excessive simplification of the outcome because of a conversion of the dispersed data sets into areas of spatial continuity by reducing the above-average real estate prices. The main aim of the article was to search for spatial discontinuities of real estate prices’ distribution with 3D modeling using Voronoi diagrams as a method of irregular division of this space. Used methods of geospatial analyses with GIS tools enabled to identify clusters of high housing market activity and to avoid an excessive generalization of data resulting from the reduction of the above-average real estate prices. The research was conducted for over 7000 real estate transactions in years 2010–2017 in Olsztyn, the capital city of Warmia and Mazury in Poland, resulting in a 3D visualization of real estate prices for the chosen market, including the discontinuity in their spatial distribution.
Highlights
The spatial dimension is an inseparable attribute of human existence and activity, and the space itself is a central category of mathematical, physical, natural, social, humanistic, and technical sciences [1,2,3,4,5,6] The synergy of anthropogenic and natural mechanisms transforms the existing space, and this transformation, determines the needs, behavior, and the forms of social, cultural, and economic activities of people
A significant disadvantage of this approach is the tendency to oversimplify the obtained results by reducing above-average values, resulting in formulated conclusions, which fail to adequately represent the housing market specificity. This study addressed this issue in order to introduce the specific language of a description of the real estate price spatial discontinuity on the housing market to the scientific discussion
The authors fully accepted the complexity and non-linearity of spatial relationships that are dominant in the real world and accepted spatial discontinuity as an inherent feature of the housing market
Summary
The spatial dimension is an inseparable attribute of human existence and activity, and the space itself is a central category of mathematical, physical, natural, social, humanistic, and technical sciences [1,2,3,4,5,6] The synergy of anthropogenic and natural mechanisms transforms the existing space, and this transformation, determines the needs, behavior, and the forms of social, cultural, and economic activities of people. The costs of overcoming the resistance of space, resulting from the distance of distribution of various spheres of human lives and various forms of human activities (organizational, economic, and social), are the foundation of both management within the space and spatial management. In this sense, spatial economy [7,8,9] includes all activities related to land development, which are required to achieve sustainable development while taking into account the properties of land and natural resources and including the entirety of natural environment and urbanized environment. Spatial economy searches for similarities of economic and social phenomena through separating regional structures [10] and searching for universal regularities for them [11]
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