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Geography in motion

Hexagonal spatial systems in fuzzy gravitation

Bibliographic Data

ID4140939
AuthorsM Banaszak (0000-0003-0106-632X, Adam Mickiewicz University in Poznań), Michał Dziecielski (0000-0002-7056-5774, Faculty of Geography and Earth Sciences, Adam Mickiewicz University, Poland), Peter Nijkamp (0000-0002-4068-8132, Faculty of Geography and Earth Sciences, Adam Mickiewicz University, Poland; Jheronimus Academy of Data Science (JADS), The Netherlands, corresponding author), Waldemar Ratajczak (0000-0002-0565-0761, Faculty of Geography and Earth Sciences, Adam Mickiewicz University, Poland)
Year2019
Volume51
Issue2
Pages393-402
Publication date2019-03-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1177/0308518x18790249
OpenAlexW2886311077
LanguageEN
Citations received2
References cited27

The dynamics of spatial hierarchical processes displays fascinating images of the evolution of attraction basins of towns. Assuming in the present paper a random character of such complex processes, gravitational modeling is employed to depict changes in the nature of fuzzy boundaries between attraction basins in a hexagonal world, i.e. the geographical pattern central in the renowned and influential Christaller-Lösch central place theory in geography. The paper presents various interesting stylized maps of such stochastic processes. Our findings demonstrate that the collective behavior of actors in geographic space shows a white noise pattern that mirrors a fuzzy gravitation towards large population concentrations. These results support the validity of the conventional central place theory

Attraction · Classical mechanics · Economic geography · Economics · Fuzzy logic · Geography · Geometry · Gravitation · Physics · Population · Sociology · Statistical physics · Stylized fact · Computer Science · Evolutionary Game Theory and Cooperation · Land Use and Ecosystem Services · Mathematics · Urban Design and Spatial Analysis · Artificial Intelligence

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    Open Access•Michał Dziecielski, Karima Kourtit et al.•Cities•2021

  • Hierarchy in Natural and Social Sciences

    Open Access•Denise Pumain•Hierarchy in Natural and Social…•2006

  • The New Science of Cities

    Michael Batty•New Science of Cities•2013

  • The Swiss Journal of Economics and Statistics at 160

    Open Access•Marius Brülhart, Kateryna Dashevska•Swiss Journal of Economics and…•2024

  • An analytically solvable core-periphery model

    Rikard Forslid, Gianmarco I P Ottaviano•Journal of Economic Geography•2003

  • Fractals Take a Central Place

    Sandra Lach Arlinghau, Sandra Lach Arlinghaus•Geografiska Annaler Series B…•1985

  • Demographic Gravitation

    John Q Stewart•Sociometry•1948

  • La dynamique des villes

    Open Access•D C, Denise Pumain•Population•1982

Unique citing works2
Citations per year0,29
Citation span2019 - 2021 (3)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 1
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