References
Auerbach, F. “Das Gesetz der Bevölkerungskonzentration,”Petermanns geographische Mitteilungen, Vol. 59 (1913), pp. 74–76.
von Bertalanffy, L.General System Theory; Foundations, Development, Applications. New York: G. Brasiller, 1968.
Bleicher, H.Statistische Beschreibung der Stadt Frankfurt am Main und ihrer Bevölkerung. Frankfurt am Main: 1892.
Bussière, R.Recherches fondamentales: Morphologie urbaine, répartitions de la population. Paris: Centre de Recherche d'Urbanisme, 1968. English edition:The Spatial Distribution of Urban Population. The Hague: International Federation for Housing and Planning, 1968.
— “Static and Dynamic Characteristics of the Negative Exponential Model of Urban Population Distributions,” in A. G. Wilson (Ed.),Patterns and Processes in Urban and Regional Systems. London Papers in Regional Science, Vol. 3. London: Pion, 1972.
Casetti, E. “Alternate Urban Density Models: An Analytical Comparison of their Validity Range,” in A. J. Scott (Ed.),Studies in Regional Science. London Papers in Regional Science, Vol. 1. London: Pion, 1969.
Clark, C. G. “Urban Population Densities,”Journal of the Royal Statistical Society, Ser. A, Vol. 114 (1951), pp. 490–496.
— “Urban Population Densities,”Bulletin of the International Statistical Institute, Vol. 36 (1957), pp. 60–68.
—Population Growth and Land Use. London: Macmillan, 1967.
Dacey, M. F. “A Model for the Areal Distribution of Population in a City with Multiple Population Centers,”Tijdschrift voor Economische en Sociale Geographie, Vol. 59 (1968), pp. 232–236.
Dziewoński, K. “General Theory of Rank-size Distributions in Regional Settlement Systems: Reappraisal and Reformulation of the Rank-size Rule,”Papers of the Regional Science Association, Vol. 29 (1972), pp. 75–86.
Jerczyński, M. “The Role of Functional Specialization of Cities in the Formation of a Settlement Network,”Geographia Polonica, Vol. 24 (1972), pp. 31–44.
—, L. Chaves, and Z. Siemek.Studia nad struktura funkcjonalna miast [Studies of Functional Structure of Cities]. Prace Geograficzne No. 97. Wrocław-Warszawa: Zakład Narodowy im. Ossolińskich, 1973.
Klimaszewska, O. “Rozkłady gęstości zaludnienia w Warszawskim Zespole Miejskim w latach 1897–1970 [Distributions of Population Densities in the Warsaw Metropolitan Area in the years 1897–1970].” Unpublished doctoral dissertation, Institute of Geography of the Polish Academy of Sciences, Warsaw, 1974.
Kostrubiec, B. and B. Jokiel. “Ob opredelenii velicheni otkritoj sistemi rasselenia s pomoco principa velichiniocherednosti [An Attempt to Define the Size of an Open Settlement System by Use of the Rank-size Rule],” inPrimenenie Modeli dla Razrabotki Schem Formirovania Territorialnoj-produkcijnoj Kompleksov. Novosibirsk: Akademia Nauk SSSR, 1973.
Mandelbrot, B. “New Methods in Statistical Economics,”Journal of Political Economy, Vol. 71 (1963), pp. 421–440.
March, L. J. “A Statistical Theory of Simple Spatial Distribution.” Working Paper No. 5, Centre for Land Use and Built Form Studies, University of Cambridge, 1970.
— “Urban Systems: A Generalized Distribution Function,” in A. G. Wilson (Ed.),Urban and Regional Planning. London Papers in Regional Science, Vol. 2. London: Pion, 1971, pp. 157–170.
Medvedkov, J. W. “Prilozhennia matematiki k niekotorym zadacham ekonomicheskoj geografii,” inGeograficheskoj Sbornik Vol. 1. Raboti po teoreticheskimi i specialnimi voprosami nauchnotechnicheskoj informacii. Moscow: Izdatelstvo Moskovskoho Universiteta, 1963.
— “Prilozhenia matematiki v geografii naselenia,” inNauchnie Problemi Geografii Naselenia. Moscow: Izdatelstvo Moskovskoho Universiteta, 1967.
Muth, R. F. “The Spatial Structure of Housing Market,”Papers of the Regional Science Association, Vol. 7 (1961), pp. 207–220.
Papageorgiou, G. J. “A Theoretical Evaluation of the Existing Population Density Gradient Functions,”Economic Geography, Vol. 47 (1971), pp. 21–26.
— “A Generalization of the Population Density Gradient Concept,”Geographical Analysis, Vol. 3 (1971), pp. 121–127.
— “The Population Density and Rent Distribution Models within a Multicentre Framework,”Environment and Planning, Vol. 3 (1971), pp. 267–282.
— “Population Density and Quality of Environment,” inInternational Geography, Vol. 2. Toronto: Univesity of Toronto Press, 1972.
— and E. Casetti. “Spatial Equilibrium Residential Land Values in a Multicenter Setting,”Journal of Regional Science, Vol. 11 (1971), pp. 385–389.
Rayner, J. N.:An Introduction to Spectral Analysis. London: Pion, 1971.
—. “The Practical Application of One Dimensional Spectral Analysis,”Geographia Polonica, Vol. 25 (1973), pp. 67–92.
Sombart, W. “Der Begriff Stadt und das Wesen der Städtebildung,”Archiv für Sozialwissenschaft und Sozialpolitik, Vol. 25 (1907), pp. 1–9.
Wellar, B. and G. J. Lacava. “Parametrization of the Gamma Function for Description and Planning of Space Use.” Paper read at the Meeting of the Commission on Quantitative Methods of the International Geographical Union, Kingston, Ontario, 1972.
——. “The Gamma Function in Geographic Research: a Technical Note,” inInternatinal Geography, Vol. 2. Toronto: University of Toronto Press, 1972.
Wilson, A. G. “Development of Some Elementary Residential Location Models,”Journal of Regional Science, Vol. 9 (1969), pp. 377–385.
Zipf, G. K.National Unity and Disunity. The Nation as a Bio-Social Organism. Bloomington, Indiana: The Principia Press, 1941.
—Human Behavior and the Principle of Least Effort. An Introduction to Human Ecology. Cambridge, Mass.: Addison-Wesley, 1949.
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Dziewoński, K. The role and significance of statistical distributions in studies of settlement systems. Papers of the Regional Science Association 34, 145–155 (1975). https://doi.org/10.1007/BF01941316
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DOI: https://doi.org/10.1007/BF01941316