A method for functional regionalization based on higher-order factor analysis is proposed. The utility of the method when using alternative factorial procedures is described by reference to a study of journey-to-work flows in South Wales in 1971, in which the stability of the results under alternative factorial procedures is explored. The advantages of the higher-order factorial approach compared with previously suggested methodologies are documented.
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References
1.
BerryB J LHortonF, 1970Geographical Perspectives in Urban Systems (Prentice-Hall, Englewood Cliffs, NJ)
2.
BlackW R, 1973“Toward a factorial ecology of flows”Economic Geography4959–67
3.
BrownLHolmesJ, 1971“The delimination of functional regions”Journal of Regional Science1157–72
4.
CattellR B, 1968“Higher order factor structures” in Studies in Psychology: Essays Presented to Cyril Burt Eds BanksCBroadhurstP L, (University of London Press, London) pp 223–266
5.
CliffAHaggettPOrdJ KBassettKDaviesR, 1975Elements of Spatial Structure (Cambridge University Press, London)
6.
DaviesW K D, 1972“Conurbation and city region in an administrative borderland”Regional Studies6217–236
7.
DaviesW K D, 1978“Alternative factorial solutions and urban social structure”Canadian Geographer22273–297
8.
DaviesW K D, 1979“Urban connectivity in Montana”Annals of Regional Science1329–46
9.
DaviesW K DBarrowG, 1973“A comparative factorial ecology of three Canadian cities”Canadian Geographer17327–357
10.
DaviesW K DMussonT C, 1978“Spatial patterns of commuting in South Wales 1951–71: A factor analysis definition”Regional Studies12353–366
11.
DaviesW K DRobinsonG W S, 1968“The nodal structure of the Solent region”Journal of the Town Planning Institute5418–23
12.
DaviesW K DThompsonR R, 1980“The structure of inter-urban connectivity”Regional Studies (forthcoming)
13.
FriedmannJ, 1972“A general theory of polarized development” in Growth Centres in Regional Economic Development Ed. HansenN M, (Free Press, New York) pp 82–107
14.
GiggsJ AMatherP M, 1975“Factorial ecology and factor invariance”Economic Geography51366–382
15.
GriggD, 1965“The logic of regional systems”Annals of the Association of American Geographers55465–491
16.
GoddardJ B, 1970“Functional regions within the city centre: Factor analysis of taxi flows in Central London”Transactions of the Institute of British Geographers49161–182
17.
GreenF H W, 1950“Urban hinterlands in England and Wales”Geographical Journal11664–81
18.
HallP, 1971“Spatial structure of metropolitan England and Wales” in Spatial Policy Problems of the British Economy Eds ChisholmMMannersA, (Cambridge University Press, London) pp 96–125
19.
HarmanH H, 1975Modern Factor Analysisrevised edition (University of Chicago Press, Chicago)
20.
HirstM A, 1977“Hierarchical aggregation procedures for interaction data: A comment”Environment and Planning A999–103
21.
HuffD, 1973“The delimitation of a national system of planning regions on the basis of urban spheres of influence”Regional Studies7323–329
22.
JennrichR ISampsonP F, 1966“Rotation for simple loadings”Psychometrika31313–323
23.
JohnstonR J, 1968“Choice in classification”Annals of the Association of American Geographers58575–589
24.
KaiserH F, 1963“Image analysis” in Problems in Measuring Change Ed. HarrisC W, (University of Wisconsin Press, Madison, Wis.) pp 156–166
25.
LawtonR, 1968“The journey to work in Britain: Some trends and problems”Regional Studies227–40
26.
MacRaeD, 1960“Direct factor analysis of sociometric data”Sociometry23360–370
27.
MasserIBrownP J B, 1975“Hierarchical aggregation procedures for interaction data”Environment and Planning A7509–523
28.
NieNHullC HJenkinsJ GSteinbrennerKBentD, 1975Statistical Package for the Social Sciences (McGraw-Hill, New York)
29.
NystuenJ DDaceyN F, 1961“A graph theory interpretation of nodal regions”Papers of the Regional Science Association729–42
30.
Office of Population Censuses and Surveys, 1975Census of England and Wales 1971: Journey to Work Tables (HMSO, London)
31.
PattersonJ H, 1974“Writing regional geography”Progress in Geography61–26
32.
PedersonP OIllerisS, 1968“Central places and functional regions in Denmark: A factor analysis of telephone traffic”Lund Studies in Geography, Series B31.
33.
PokshishevskiyV V, 1975“On the Soviet concept of economic regionalization”Progress in Geography71–52
34.
ReesP H, 1972“Problems of classifying sub-areas within cities” in City Classification Handbook Ed. BerryB J L, (John Wiley, New York) pp 265–330
35.
RoyceJ R, 1973Multivariate Analysis and Psychological Theory (Academic Press, New York)
36.
RoyceJ R, 1976“Factors of mouse emotionality at the second, third and fourth order”Multivariate Behavioral Research1163–78
37.
RummelR J, 1970Applied Factor Analysis (Northwestern University Press, Evanston, Ill.)
38.
SlaterP B, 1976“A hierarchical regionalization of Japanese prefectures”Regional Studies10123–132
39.
SojaE W, 1968“Communications and territorial integration in East Africa”East Lakes Geographer439–59
40.
SpenceN ATaylorP J, 1970“Quantitative methods in regional taxonomy”Progress in Geography23–50
41.
TyreeA, 1973“Mobility ratios and association in mobility tables”Population Studies27577–588
42.
VelicerW F, 1977“An empirical comparison of the similarity of principal component, image and factor patterns”Journal of Multivariate Behavioural Research123–22