Izvestiya Rossiiskoi akademii nauk. Seriya geograficheskayaIzvestiya Rossiiskoi akademii nauk. Seriya geograficheskaya2587-5566The Russian Academy of Sciences1158110.31857/S2587-556620191128-135Research ArticleIs the share of a central place in the population of the area, served by this central place, a constant for all levels of the Christaller’s hierarchy?DmitrievR. V.dmitrievrv@yandex.ruInstitute of Geography, Russian Academy of SciencesInstitute for African Studies, Russian Academy of Sciences0104201911281350104201901042019Copyright © 2019, Russian Academy of Sciences2019<p>One of the conditions of the central place theory is the assumption of a constant k parameter a share of a central place in the population of the area served by this central place for all levels of the Christallers hierarchy. Nevertheless, we did not find a rigorous proof of this assertion (underlying the Beckmann-Parr equation) in the bibliography on the central place theory. 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