Theory of the distribution of city sizes: Review and prospects

REFERENCES

• Aitchison , J. and Brown , J.A.C. 1957 . The Lognormal Distribution , Cambridge University Press .
   Google Scholar
• Beckmann , M.J. 1958 . City hierarchies and the distribution of city sizes . Econ. Dev. Cult. Change , 6 : 243 – 248 .
   Web of Science ®Google Scholar
• Beckmann , M.J. 1968 . Location Theory , New York : Random House .
   Google Scholar
• Beckmann , M.J. and McPherson , J. 1970 . City size distributions in a central place hierarchy: An alternative approach . J. reg. Sci. , 10 : 25 – 33 .
   Web of Science ®Google Scholar
• Berry , B.J.L. 1961 . City size distributions and economic development . Econ. Dev. Cult. Change , 9 : 573 – 587 .
   Web of Science ®Google Scholar
• Berry , B.J.L. 1964 . Cities as systems within systems of cities . Papers Proc. Reg. Sci. Assoc. , 13 : 147 – 163 .
   Google Scholar
• Bos , H.C. 1965 . The Spatial Dispersion of Economic Activity , Amsterdam : North-Holland .
   Google Scholar
• Champernowne , D.G. 1953 . A model of income distribution . Econ. J. , 63 : 318 – 351 .
   Web of Science ®Google Scholar
• Christaller , W. 1966 . Central Places in Southern Germany , Englewood Cliffs, New Jersey : Prentice-Hall . (translated by Baskin C. W.)
   Google Scholar
• Curry , L. 1964 . The random spatial economy: An exploration in settlement theory . Ann. Assoc. Am. Geogr. , 54 : 138 – 146 .
   Web of Science ®Google Scholar
• Dacey , M.F. 1966 . Population of places in a central place hierarchy . J. reg. Sci. , 6 : 27 – 33 .
   Web of Science ®Google Scholar
• Davis , E. and Swanson , J.G. 1972 . On the distribution of city growth rates in a theory of regional economic growth . Econ. Dev. Cult. Change , 20 : 495 – 503 .
   Web of Science ®Google Scholar
• Duncan , O.D. and Reiss , A.J. Jr. 1956 . Social Characteristics of Urban and Rural Communities, 1950 , New York : Wiley .
   Google Scholar
• Edel , M. 1972 . “ Land values and the costs of urban congestion: Measurement and distribution, 61–90, in École Pratique des Hautes Études, VIe Section ” . In Political Economy of Environment: Problems of Method , The Hague : Mouton .
   Google Scholar
• El Shaks , S. 1965 . Development, Primacy and the Structure of Cities , Harvard University . Unpublished Ph.D. dissertation
   Google Scholar
• Evans , A.W. 1972 . The pure theory of city size in an industrial economy . Urban Studies , 9 : 49 – 77 .
   Web of Science ®Google Scholar
• Fano , P. 1969 . City size distributions and central places . Papers Proc. Reg. Sci. Assoc. , 22 : 29 – 38 .
   Google Scholar
• Greenwood , M.J. 1970 . Lagged response in the decision to migrate . J. reg. Sci. , 10 : 375 – 384 .
   Web of Science ®Google Scholar
• Haldane , J.B.S. 1942 . Moments of the distribution of powers and products of normal variates . Biometrika , 32 : 226 – 226 .
   Google Scholar
• Harris , C.D. 1970 . Cities in the Soviet Union: Studies in their Functions, Size, Density and Growth , Rand McNally .
   Google Scholar
• Harris , W.D. 1971 . The Growth of Latin American Cities , Athens : Ohio University Press .
   Google Scholar
• Higgs , R. 1970 . Central place theory and regional urban hierarchies: An empirical note . J. reg. Sci. , 10 : 253 – 255 .
   Web of Science ®Google Scholar
• Isard , W. 1956 . Location and Space-Economy , M.I.T. Press .
   Google Scholar
• Jefferson , M. 1939 . The law of the primate city . Geogr. Rev. , 29 : 226 – 232 .
   Google Scholar
• Kermack , K.A. and Haldane , J.B.S. 1950 . Organic correlation and allometry . Biometrika , 37 : 30 – 41 .
   PubMed Web of Science ®Google Scholar
• Linsky , A.S. 1965 . Some generalizations concerning primate cities . Ann. Assoc. Am. Geogr. , 55 : 506 – 513 .
   Web of Science ®Google Scholar
• Lösch , A. 1954 . The Economics of Location , New Haven : Yale University Press .
   Google Scholar
• Lydall , H.F. 1968 . The Structure of Earnings , Oxford : Clarendon Press .
   Google Scholar
• Madden , C.H. 1956 . On some indications of stability in the growth of cities in the United States . Econ. Dev. Cult. Change , 4 : 236 – 252 .
   Web of Science ®Google Scholar
• Madden , C.H. 1958 . Some temporal aspects of the growth of cities in the United States . Econ. Dev. Cult. Change , 6 : 143 – 170 .
   Google Scholar
• Mehta , S.K. 1964 . Some demographic and economic correlates of primate cities: A case for revaluation . Demography , 1 : 136 – 147 .
   Web of Science ®Google Scholar
• Mills , E.S. 1972 . Urban Economics , Glenview, Illinois : Scott, Foresman .
   Google Scholar
• Morse , R.M. 1962 . Latin American cities: Aspects of function and structure . Comp. Studies Soc. History , 4 : 473 – 493 .
   Google Scholar
• Olsson , G. 1967 . Central place systems, spatial interaction and stochastic processes . Papers Proc. Reg. Sci. Assoc. , 18 : 13 – 45 .
   Google Scholar
• Parr , J.B. 1970 . Models of city size in an urban system . Papers Proc. Reg. Sci. Assoc. , 25 : 221 – 253 .
   Google Scholar
• Pred , A. 1966 . The Spatial Dynamics of United States Urban-Industrial Growth, 1800–1914 , M.I.T. Press .
   Google Scholar
• Rashevsky , N. 1943 . Contribution to the theory of human relations: Outline of a mathematical theory of the size of cities . Psychometrika , 8 : 87 – 90 .
   Google Scholar
• Rashevsky , N. 1947 . Mathematical Theory of Human Relations , Bloomington : Principia Press .
   Google Scholar
• Rashevsky , N. 1951 . Mathematical Biology of Social Behaviour , Chicago University Press .
   Google Scholar
• Richardson , H.W. 1972 . Optimality in city size, systems of cities and urban policy: A sceptic's view . Urban Studies , 9 : 29 – 48 .
   Web of Science ®Google Scholar
• Richardson , H.W. 1973 . Regional Growth Theory , Macmillan .
   Google Scholar
• Rogers , A. 1966 . A Markovian policy model of interregional migration . Papers Proc. Reg. Sci. Assoc. , 17 : 205 – 224 .
   Google Scholar
• Roy , A.D. 1950 . The distribution of earnings and individual output . Econ. J. , 60 : 489 – 505 .
   Web of Science ®Google Scholar
• Simon , H. 1955 . On a class of skew distribution functions . Biometrika , 42 : 425 – 440 .
   Web of Science ®Google Scholar
• Thompson , W.R. 1972 . The national system of cities as an object of public policy . Urban Studies , 9 : 99 – 116 .
   Web of Science ®Google Scholar
• Tiebout , C.M. 1956 . A pure theory of local expenditures . J. pol. Econ. , 64 : 416 – 424 .
   Web of Science ®Google Scholar
• Tinbergen , J. 1968 . The hierarchy model of the size distribution of centres . Papers Proc. Reg. Sci. Assoc. , 20 : 65 – 68 .
   Google Scholar
• Vining , R. 1955 . A description of certain spatial aspects of an economic system . Econ. Dev. Cult. Change , 3 : 147 – 195 .
   Web of Science ®Google Scholar
• Von Böventer , E.G. 1970 . Optimal spatial structure and regional development . Kyklos , 23 : 903 – 924 .
   Google Scholar
• Ward , B. 1963 . City structure and interdependence . Papers Proc. Reg. Sci. Assoc. , 10 : 207 – 221 .
   Google Scholar
• Weiss , H.K. 1961 . The distribution of urban population and an application to a servicing problem . Operations Res. , 9 : 860 – 874 .
   Google Scholar
• Wilson , A.G. 1969 . Notes on some concepts in social physics . Paper Proc. Reg. Sci. Assoc. , 22 : 159 – 193 .
   Google Scholar
• Zipf , G.K. 1949 . Human Behaviour and the Principle of Least Effort , Cambridge, Mass. : Addison-Wesley .
   Google Scholar