Physics of Population Distribution

Stewart, John Q.; Warntz, William

doi:10.1111/j.1467-9787.1958.tb01366.x

Cited by 158 publications

(68 citation statements)

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“…In the introduction to his pioneering book published over 60 years ago, Christaller [1] posed a key question: "Are there laws which determine the number, size, and distribution of towns?" This question has not been properly answered since the publication of Christaller's book, notwithstanding the fact that Christaller's theory of central places [1] and its elaboration through theories such the rank-size rule for cities [2][3][4] embody one of the cornerstones of human geography.…”

Section: Introductionmentioning

confidence: 99%

“…Traditional approaches to urban science as exemplified in the work of Christaller [1], Zipf [2], Stewart and Warntz [3], Beckmann [4], and Krugman [5] are based on the assumption that cities grow homogeneously in a manner that suggests that their morphology can be described using conventional Euclidean geometry. However, recent studies have proposed [6] that the complex spatial phenomena associated with actual urban systems is rather better described using fractal geometry consistent with growth dynamics in disordered media [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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Modeling urban growth patterns with correlated percolation

et al. 1998

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We propose and test a model that describes the morphology of cities, the scaling of the urban perimeter of individual cities, and the area distribution of systems of cities. The model is also consistent with observable urban growth dynamics, our results agreeing both qualitatively and quantitatively with urban data. The resulting growth morphology can be understood from interactions among the constituent units forming an urban region, and can be modeled using a correlated percolation model in the presence of a gradient.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling urban growth patterns with correlated percolation

et al. 1998

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“…Die industrielle Produktionsweise wurde als arrivier- (Stewart, 1950(Stewart, , 1953Stewart und Warntz, 1958, 1968Warntz, 1957aWarntz, , b, 1973. Die beiden gehörten zu den frühen Gallionsfiguren des sogenannten spatial approach 9 in der sich anbahnenden Revolution.…”

Section: Ein Kurzer Blick Zurückunclassified

Ökonomische und politische Prinzipien im Umbruch: die „Quantitative Revolution“ der Geographie als Spiegel bürgerlichen Bewusstseins

Eisel¹

2017

Geogr. Helv.

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Kurzfassung. The quantitive revolution in geography was the methodological expression of a shift in paradigm. Nomological thinking took over from the idiographic approach of classic geography. The classic paradigm had been that of a desirable identity of concrete working, active humans with their concrete natural surroundings: landscape was imagined as Lebensraum. The logic of industrial production processes contrasts with this; it creates an identity of scientifically analysed human work sequences with machines, and it thus represents a form of adapting to nature by abstracting holistically integrated ways of carrying out work. The geographical paradigm had no theoretical tools with which to approach this relationship between humans and nature. With regard to the theoretical ideas underlying it, this methodological change corresponds, on the one hand, to the transition from following a humanist concept of the individual, which guides idiographic thinking, to using a democratic concept of the individual, which correlates with the principles of experiment-based empirical sciences. On the other hand, geography's move towards an abstract concept of space reflects the degree to which industrial production methods are abstracted. The "spatial approach", the "behavioural approach", and "humanistic geography" are interpreted and contrasted with the idiographic paradigm within this coordinate system. Als ich die freundliche Einladung 1 erhielt, zur Begrün-dung der Ursachen der "Quantitativen Revolution" etwas beizutragen, habe ich sehr gezögert. Ich war nicht begeistert von der Vorstellung, meine Erklärungen von vor 35 Jahren (Eisel, 1980) abermals zu wiederholen, habe mich dann aber doch umstimmen lassen. Natürlich werde ich dieses Grundgerüst aus heutiger Perspektive ergänzen; es erhält letztlich dadurch eine etwas andere Stoßrichtung.Sodann werde ich zunächst einleitend versuchen, meine Art des Zugangs zu theoretischer Arbeit überhaupt, damit also auch zur Untersuchung der quantitativen Revolution in 1 Der Text basiert auf einem Vortrag anlässlich des Workshops "Raum.Gesetze.Daten. Zur Geschichte der quantitativen Revolution in der deutschsprachigen Geographie" im November 2015 an der Universität Erlangen. Er wurde in der Diktion des gesprochenen Wortes sowie eines komprimierten Überblicks belassen und nur um einige Präzisierungen und Belege ergänzt.der Geographie, zu schildern. In der Vergangenheit hat meine Art von Metatheorie immer wieder zu Fragezeichen geführt. Mich stört das nicht, aber kultivieren muss man diese Verunsicherung auch nicht.

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“…Moss and Townsend (this volume) reveal that same kind of pattern for the New York region, while Shiode and Dodge (1998) provide a dramatic graphic of this kind of spatial organization in their picture of web hosts in South East England which we show in Figure 2. Contrast this with Stewart and Warntz's (1958) maps of population potential of North American and Britain which is at the basis of the physical measurement of accessibility across many scales. Shiode and Dodge, 1998) Casual evidence also reveals the importance of the local and the global in the morphology of cyberspace.…”

Section: The Morphology Of Cyberspacementioning

confidence: 99%