Comments on the Lösch Central Place System*

Tarrant, John

doi:10.1111/j.1538-4632.1973.tb01001.x

Cited by 15 publications

(5 citation statements)

References 2 publications

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“…The strict application of what are essentially the corrected Kanzig equations (10) to (17) followed by substitution in equation (9) will only produce the statistics for areas A . to A 17 (Table l) stage the index number h is synonymous with the area number in accordance with inequality (18 Table 1 on the values of n$ and numbering the ranks successively from zero give the area numbers of Losch's system (Table 2). Naturally, the pattern of values for kh and Ih as pre- 1) are shown that also yield values of 49 and 9 1 for n& and n& respectively.…”

Section: The Nomenclature Of Area Numbersmentioning

confidence: 99%

“…Although several of his well-known diagrams are frequently reproduced, no explanation of how they are constructed is offered. The derivation of the Losch system should provide the neces-A recent paper [18] has endeavored to show how it is possible to develop the "Loschian central place landscape" on a rhombic lattice using nonorthogonal reference axes. Unfortunately the discussion in that paper only considers 36 of the 151 different sized hexagonal areas that go to make up the original Losch system.…”

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confidence: 99%

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The Lösch System of Market Areas: Derivation and Extension

Beavon¹,

Mabin

1975

Geographical Analysis

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A bs trac t Certain aspects o f Losch's classic work on the network of markets and the system of networks have not yet been clearly explained in the liter-ature. Losch did not describe his derivation procedures in full, and apparent printing errors in certain formulae confuse the issue further, with the result that several recent texts reproduce Losch's diagrams but offer no explanation of how they are constructed. Accepting the network of hexagonal market areas for a continuous system o f markets, given an even but discrete distribution of population, the derivation from first principles of the complete system of different market areas is presented. Apparent errors in the translated text of Losch's work are corrected. Limitations in some other authors' work and accordance with earlier empirically derived formulae are mentioned. The production of "city-rich" and "city-poor" sectors is shown to be a constraint on, rather than a result of, the system, and Losch's statement that the coincidence of centers is maximized is clarified. The extension o f the Losch system to the internal tertiary structure of the city is presented and attention drawn to the empirical attractiveness of this approach.

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Section: The Nomenclature Of Area Numbersmentioning

confidence: 99%

mentioning

confidence: 99%

The Lösch System of Market Areas: Derivation and Extension

Beavon¹,

Mabin

1975

Geographical Analysis

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“…К. Бивон и А. Мэбин показали, что получение «густозаселенных» и «малозаселенных» секторов является именно предпосылкой в системе (впервые об этом писал Дж. Таррант (Tarrant, 1973)), а Дж. Маршалл представил альтернативный ландшафт, построенный исключительно из соображений максимизации числа совпадений мест производства различных товаров и услуг.…”

Section: типы пространственных структур экономических взаимодействий ...unclassified

Interregional Economic Interactions in the Light of Central Place Theory

Dzhurka

2023

Spatial Economics

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This paper considers basic models of functional hierarchy of central places, which are based on different systems of axioms and, therefore, reproduce different spatial structures of economic interactions. This study substantiates the possibility of using these models in researches of wider class of hierarchical systems of central places, where central places are not the settlements, characterized by relations of mutual location and subordination, but the regions, the elements of national economic space, characterized by relations of coalition productivity. For the spatial structures of economic interactions described by Christaller, Tinbergen, and Losch functional hierarchy models, matrices of income flows and spatial multipliers are constructed. The incomes in the models of successively inclusive hierarchy of Christaller and Tinbergen are determined on the basis of the system of recursive equations, in the model of fuzzy hierarchy within economic landscape of Losch – on the basis of the system of simultaneous equations. It’s shown that for identification of types of spatial structures themselves – successively inclusive or fuzzy hierarchy, the parameter of nesting market areas as such has no special importance, and the polymorphism of the central places system can be determined by the structural parameters of spatial multipliers. The resulting matrices of income flows differ mainly in the number of allocated levels of the functional hierarchy and the configuration of trade flows between different levels. Compared to other models, the role of intraregional effects in the formation of income at different levels of the hierarchy is lower in Losch’s model, and the role of system effects is higher. The directions of search for meaningful generalizations during the transition from the theory to the concept of central places, oriented to the study of a wider class of hierarchical systems, were determined. They are: refusal from planar projections; determination of generalized characteristics of the system of central places (mass of central places and ‘distance’ between them); development of principles of coordination of conclusions of theoretical and conceptual designs; formulation and solution of the problem of multilevel analysis

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“…A number of papers have been written about the geometry of Losch's central place system (inter alia Dacey 1965, Dacey & Sen 1968, Hudson 1967. Furthermore papers concerned with the derivation of that system following different approaches have also recently appeared (Tarrant 1973, Beavon 1973a, Beavon & Mabin 1975, 1976, J . Marshall 1977.…”

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confidence: 99%

Löschian Regions of Homogeneous Structure: An Expository Note

Beavon

2008

Tijdschrift Voor Economische en Sociale Geografie

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Comments on the Lösch Central Place System*

Cited by 15 publications

References 2 publications

The Lösch System of Market Areas: Derivation and Extension

The Lösch System of Market Areas: Derivation and Extension

Interregional Economic Interactions in the Light of Central Place Theory

Löschian Regions of Homogeneous Structure: An Expository Note

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