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Axiomatic Foundation of Central Place Theory: Revision from the Standpoint of the Russian School

Author

Listed:
  • R. V. Dmitriev

    (Institute for African Studies, Russian Academy of Sciences
    Institute of Geography, Russian Academy of Sciences)

  • V. A. Shuper

    (Institute of Geography, Russian Academy of Sciences)

Abstract

— The article refines the axiomatic foundation of central place theory (CPT) and identifies the possibilities and limitations of a logical transition in research from real settlement systems to central place (CP) systems. The necessity of relying on the CPT axioms in the following form is determined: (1) the space of a CP system is not infinite, but finite: the basis of each system is formed by an isolated lattice; the theory deals with physical space, not mathematical or geographical; (2) the space is homogeneous and isotropic in all respects, except for the distribution of not only the urban, but also the rural population; (3) a hexagonal lattice corresponds to the equilibrium state of an isolated CP system as an attractor; deviations from a hexagonal shape result only from external impact on the system; (4) CP systems are polymorphic: they can exist in modifications with both the same and different values for all levels of the hierarchy and not necessarily an integer value K ∈ (1, 7]. The axiom about a consumer’s “rational” behavior is accepted when establishing the CP hierarchy in terms of the volume of functions performed; when establishing their hierarchy in terms of population, it is redundant. In contrast to the foreign approach to CPT, which presupposes the transfer of properties of an ideal CP system to a real settlement system, in the approach of the Russian school, they are compared. The possibility of the latter is due to the equivalence principle in the relativistic version of the theory, according to which settlement systems form in the geographic space similarly to how CP systems form in the physical space. In both cases, if the gravitational effects are compensated, it is impossible to distinguish a settlement system from a CP system; i.e., a heterogeneous and anisotropic geographical space cannot be distinguished from a homogeneous and isotropic physical one. The immediate consequence of this is equivalence, on the one hand, of the population of settlements and CP, and, on the other, the distances between them in real settlement systems and CP systems.

Suggested Citation

  • R. V. Dmitriev & V. A. Shuper, 2023. "Axiomatic Foundation of Central Place Theory: Revision from the Standpoint of the Russian School," Regional Research of Russia, Springer, vol. 13(4), pages 751-757, December.
    • Handle: RePEc:spr:rrorus:v:13:y:2023:i:4:d:10.1134_s2079970523700983
    DOI: 10.1134/S2079970523700983
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    References listed on IDEAS

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    1. Athanasios K. Vionis & Giorgos Papantoniou, 2019. "Central Place Theory Reloaded and Revised: Political Economy and Landscape Dynamics in the Longue Durée," Land, MDPI, vol. 8(2), pages 1-21, February.
    2. Ruslan V. Dmitriev & Stanislav A. Gorokhov & Maksim M. Agafoshin, 2023. "Intermittent Development of Central Place Systems: The Dynamics of Unification and Breakup," R-Economy, Ural Federal University, Graduate School of Economics and Management, vol. 9(2), pages 140-154.
    3. Ruslan Vasilievich Dmitriev & Stanislav Anatolievich Gorokhov, 2022. "Central Place Systems: Early Stages of the Continual Development," Spatial Economics=Prostranstvennaya Ekonomika, Economic Research Institute, Far Eastern Branch, Russian Academy of Sciences (Khabarovsk, Russia), issue 2, pages 38-55.
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