This paper analyzes the interrelationships of city size and growth in the American Midwest from 1940 to 1970 in an effort to synthesize the study of urban growth rates and of city-size distributions. Changes in the rank–size distribution are related to the differential growth of different-size urban places; some relationship in changes over time is evident, but there is little correspondence in static analyses. The urban system analyzed by various threshold sizes examines the sensitivity of rank–size coefficients and urban growth-rate stability to the threshold. The threshold size appears to be far more important than previous research has considered, and noticeably influences the analysis of urban growth rates and rank–size distributions.
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References
1.
AuerbachF, 1913“Das Gesetz der Bevolkerungsconzentration”Petermanns Geographische Mitteilungen5974–76
2.
BeguinH, 1979“Urban hierarchy and the rank–size distribution”Geographical Analysis11149–164
3.
BourneL S, 1975Urban Systems: Strategies for Regulation (Oxford University Press, London)
4.
CasettiE, 1972“Generating models by the expansion method: Applications to geographical research”Geographical Analysis481–91
5.
CliffA DRobsonB T, 1978“Changes in the size distribution of settlements in England and Wales, 1801–1971”Environment and Planning A10163–171
6.
DaviesJ B, 1972“Behavior of the Ontario–Quebec urban system by size distribution” in Urban Systems Development in Central Canada Eds BourneL SMacKinnonR D, (University of Toronto Press, Toronto) pp 35–49
7.
DziewonskiK, 1972“General theory of rank–size distributions in regional settlement systems: Reappraisal and reformulation of the rank–size rule”Papers of the Regional Science Association2973–86
8.
DziewonskiKJerczynskiM, 1976“Urban agglomerations in the structure of national and regional socio-economic space”Geoforum7301–306
9.
DziewonskiKJerczynskiM, 1978“Theory, methods of analysis and historical development of national settlement systems”Geographia Polonica39201–209
10.
FominG N, 1976“Scientific fundamentals and ways of realization of the general scheme of population distribution in the USSR”Geoforum7259–269
11.
FuguittG V, 1965“The growth and decline of small towns as a probability process”American Sociological Review30403–411
12.
JohnstonR J, 1976“Observations on accounting procedures and urban-size policies”Environment and Planning A8327–339
13.
KhodzhaevD GKhorevB S, 1973“The concept of a unified settlement system and the planned control of the growth of towns in the USSR”Geographia Polonica2743–51
14.
LasuenJ RLorcaAOriaJ, 1967“City size distribution and economic development”Ekistics24221–226
15.
MaleckiE J, 1975“Examining change in rank–size systems of cities”Professional Geographer2743–47
16.
MarshallJ USmithW R, 1978“The dynamics of growth in a regional urban system: Southern Ontario, 1851–1971”Canadian Geographer2222–40
17.
MulliganG F, 1979“Additional properties of a hierarchical city-size model”Journal of Regional Science1957–66
18.
OkabeA, 1977“Some reconsiderations of Simon's city-size distribution model”Environment and Planning A91043–1053
19.
ParrJ B, 1976“A class of deviations from rank–size regularity: Three interpretations”Regional Studies10285–292
20.
ParrJ BSuzukiK, 1973“Settlement populations and the lognormal distribution”Urban Studies10335–352
21.
RichardsonH W, 1973“Theory of the distribution of city sizes: Review and prospects”Regional Studies7239–251
22.
RobsonB T, 1973Urban Growth: An Approach (Methuen, London)
23.
SimonH A, 1957“On a class of skew distribution functions” in Models of Man Ed. SimonH A, (John Wiley, New York) pp 145–164
24.
SteindlJ, 1965Random Processes and the Growth of Firms (Hafner, New York)
25.
ThompsonW R, 1972“The national distribution of cities as an object of public policy”Urban Studies999–116
26.
TiedemannC E, 1968“On the classification of cities into equal size categories”Annals of the Association of American Geographers58775–786
27.
VapnarskyC A, 1969“On rank–size distributions of cities: An ecological approach”Economic Development and Cultural Change19384–395
28.
ViningD R, 1977“The rank–size rule in the absence of growth”Journal of Urban Economics415–29
29.
WardB, 1963“City structure and interdependence”Papers of the Regional Science Association10207–221
30.
ZipfG K, 1949Human Behavior and the Principle of Least Effort (Addison-Wesley, Cambridge, Mass)
