Reilly's Law of Retail Gravitation ranks among the classics of marketing geography. In this paper an examination of the evolution of Reilly's law is made, the contemporaneous wheel of retailing theory being used as an organisational framework. In line with the wheel, the gravity model commenced as a simple conceptualisation of consumer spatial behaviour, became increasingly sophisticated through time, and thereby created conditions conducive to the reemergence of the basic interaction model. The wheel theory, however, describes but does not explain the processes of change, and the need for a more comprehensive model of the evolution of retailing thought is discussed.
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References
1.
AchabalD DGorrW LMahajanV, 1982, “MULTILOC: A multiple store location decision model”Journal of Retailing585–25
2.
AhnK HGhoshA, 1989, “Hierarchical models of store choice”International Journal of Retailing439–52
3.
AlonsoW, 1978, “A theory of movement”, in Human Settlement Systems Ed. HansenN M (Ballinger, Cambridge, MA) pp 197–211
4.
AlonsoW, 1980, “Alonso's theory of movement: A reply”Environment and Planning A12733–734
5.
AnselinL, 1982, “Implicit functional relationships between systemic effects in a general model of movement”Regional Science and Urban Economics12365–380
6.
AnselinL, 1984, “Specification tests and model selection for aggregate spatial interaction: An empirical comparison”Journal of Regional Science54165–182
7.
BabinB JBolesJ SBabinL, 1991, “The development of spatial theory in retailing and its contribution to marketing thought and marketing science”, in Marketing History—Its Many Dimensions Eds TaylorC RKoppS WNevettTHollanderS C (Michigan State University Press, East Lansing, MI) pp 165–178
8.
BartelsR, 1962The Development of Marketing Thought (Richard D Irwin, Homewood, IL)
9.
BatsellR RLodishL M, 1981, “A model and measurement methodology for predicting individual consumer choice”Journal of Marketing Research181–12
10.
BattenDNijkampP, 1990, “Barriers to communication and spatial interaction”The Annals of Regional Science24233–236
11.
BattyM, 1971, “Exploratory calibration of a retail location model using search by golden section”Environment and Planning3411–432
12.
BattyM, 1972, “Recent developments in land-use modelling: A review of British research”Urban Studies9151–177
13.
BattyM, 1976Urban Modelling: Algorithms, Calibrations, Predictions (Cambridge University Press, Cambridge)
14.
BattyM, 1978, “Reilly's challenge: New laws of retail gravitation which define systems of central places”Environment and Planning A10185–219
15.
BattyM, 1989, “Urban modelling and planning: Reflections, retrodictions and prescriptions”, in Remodelling Geography Ed. MacmillanB (Basil Blackwell, Oxford) pp 147–169
16.
BattyM, 1990, “How can we best respond to changing fashions in urban and regional planning?”Environment and Planning B: Planning and Design171–17
17.
BattyMMackieS, 1972, “The calibration of gravity, entropy, and related models of spatial interaction”Environment and Planning4205–233
18.
BattyMSaetherA, 1972, “A note on the design of shopping models”Journal of the Royal Town Planning Institute58303–306
19.
BattyMSammonsR, 1978, “On searching for the most informative spatial pattern”Environment and Planning A10747–779
20.
BattyMSikdarP K, 1982, “Spatial aggregation in gravity models. 1. An information-theoretic framework”Environment and Planning A14377–405
21.
BattyMFootDAlonsoLBrayGBrehenyMConstableDDugmoreKEllenderRShepherdJWilliamsJ, 1973, “Spatial system design and fast calibration of activity interaction-allocation models”Regional Studies7351–366
22.
BaxterM, 1983, “Estimation and inference in spatial interaction models”Progress in Human Geography740–59
23.
BaxterM, 1985, “Misspecification in spatial interaction models: Further results”Environment and Planning A17673–678
24.
BeaumontJ R, 1980, “Spatial interaction models and the location — allocation problem”Journal of Regional Science2037–50
25.
BeaumontJ R, 1982, “Mathematical programming in human geography”Mathematical Social Sciences2213–243
26.
BeaumontJ R, 1986, “Modelling should be more relevant: Some personal reflections”Environment and Planning A18419–421
27.
BeaumontJ R, 1988, “Store location analysis: Problems and progress”, in Store Choice, Store Location and Market Analysis Ed. WrigleyN (Routledge, Chapman and Hall, Andover, Hants) pp 87–105
28.
BeaumontJ R, 1989, “Applied geographical modelling: Some personal comments”, in Remodelling Geography Ed. MacmillanB (Basil Blackwell, Oxford) pp 170–173
29.
BeaumontJ RClarkeMWilsonA G, 1981a, “Changing energy parameters and the evolution of urban spatial structure”Regional Science and Urban Economics11287–315
30.
BeaumontJ RClarkeMWilsonA G, 1981b, “The dynamics of urban spatial structure: Some exploratory results using difference equations and bifurcation theory”Environment and Planning A131473–1483
31.
BennettR JHainingR PWilsonA G, 1985, “Spatial structure, spatial interaction, and their integration: A review of alternative models”Environment and Planning A17625–645
32.
BennettV W, 1944, “Consumer buying habits in a small town located between two large cities”Journal of Marketing8405–416
33.
BerensJ S, 1980, “Capital requirements and retail institutional innovation—theoretical observations”, in Theoretical Developments in Marketing Eds LambC WDunneP MAmerican Marketing Association, Chicago, IL, pp 248–250
34.
BerryB J LParrJ D, 1988Market Centers and Retail Location: Theory and Applications (Prentice-Hall, Englewood Cliffs, NJ)
35.
BirkinMWilsonA G, 1986a, “Industrial location models 1: A review and integrating framework”Environment and Planning A18175–205
36.
BirkinMWilsonA G, 1986b, “Industrial location models 2: Weber, Palander, Hotelling and extensions within a new framework”Environment and Planning A18293–306
37.
BlackW COstlundL EWestbrookR A, 1985, “Spatial demand models in an intrabrand context”Journal of Marketing49106–113
38.
BloutS F, 1964, “The spatial distribution of shoppers around the Valley Shopping Centre, St. Charles, 111.”Professional Geographer168–17
39.
BrailR K, 1990, “Integrating urban information systems and spatial models”Environment and Planning B: Planning and Design17417–427
40.
BrehenyM J, 1983, “Modelling store location and performance: A review”European Research11111–121
41.
BrehenyM J, 1988, “Practical methods of retail location analysis: A review”, in Store Choice, Store Location and Market Analysis Ed. WrigleyN (Routledge, Chapman and Hall, Andover, Hants) pp 39–86
42.
BrownS, 1988, “The wheel of the wheel of retailing”International Journal of Retailing316–37
43.
BrownS, 1991, “The origin of specious: The wheel theory and its antecedents”, paper presented at the Fifth Marketing History Conference, East Lansing, MI, April; copy available from the author
44.
BrunnerJ AMasonJ L, 1968, “The influence of driving time upon shopping centre preferences”Journal of Marketing3212–17
45.
BucklinL P, 1967, “The concept of mass in intra-urban shopping”Journal of Marketing3137–42
46.
BucklinL P, 1971, “Retail gravity models and consumer choice: A theoretical and empirical critique”Economic Geography47489–497
47.
BucklinL PGautschiD A, 1983, “The importance of travel mode factors in the patronage of retail centres”, in Patronage Behaviour and Retail Management Eds DardenW RLuschR E (North-Holland, New York) pp 45–55
48.
BurnettP, 1981, “Theoretical advances in modelling economic and social behaviours: Applications to geographical, policy-oriented models”Economic Geography57291–303
49.
CadwalladerM, 1975, “A behavioural model of consumer spatial decision making”Economic Geography51339–349
50.
CadwalladerM, 1981, “Towards a cognitive gravity model: The case of consumer spatial behaviour”Regional Studies15275–284
51.
CannonT, 1986Basic Marketing: Principles and Practice2nd edition (Holt, Rinehart and Winston, New York)
52.
CareyH C, 1858Principles of Social Science (Lippincott, Philadelphia, PA)
53.
CarrothersG A P, 1956, “An historical review of the gravity and potential concepts of human interaction”Journal of the American Institute of Planners2294–102
54.
ClarkeMWilsonA G, 1983, “The dynamics of urban spatial structure: Progress and problems”Journal of Regional Science231–18
55.
ClarkeMWilsonA G, 1985, “The dynamics of urban spatial structure: The progress of a research programme”Transactions of the Institute of British Geographers10427–451
56.
CliffA DMartinR LOrdJ K, 1974, “Evaluating the friction of distance parameter in gravity models”Regional Studies8281–286
57.
CliffA DMartinR LOrdJ K, 1975, “Map pattern and friction of distance parameters: Reply to comments by R J Johnston, and by L Curry, D A Griffith and E S Sheppard”Regional Studies9285–288
58.
CliffA DMartinR LOrdJ K, 1976, “A reply to the final comment”Regional Studies10341–342
59.
ConverseP D, 1935The Elements of Marketing (Prentice-Hall, Englewood Cliffs, NJ)
60.
ConverseP D, 1943, “A study of retail trade areas in East Central Illinois”, Bulletin 2, Bureau of Business, University of Illinois, Chicago, IL
61.
ConverseP D, 1949, “New laws of retail gravitation”Journal of Marketing13379–384
62.
ConverseP D, 1953, “Comment on movement of retail trade in Iowa”Journal of Marketing18170–171
63.
CouperMBarkerA, 1981, “Joint and linked enquiries: The superstore experience”Journal of Planning and Environmental Law3631–655
64.
CraigC SGhoshAMcLaffertyS, 1984, “Models of the retail location process: A review”Journal of Retailing605–35
65.
CurryBMoutinhoL, 1990, “Expert systems for site location decisions”, in Proceedings of the Marketing Education Group Annual Conference Ed. WatkinsT (Oxford Polytechnic, Oxford) pp 254–273
66.
CurryL, 1972, “A spatial analysis of gravity flows”Regional Studies6131–147
EwingG O, 1974, “Gravity and linear regression models of spatial interaction: A cautionary note”Economic Geography5083–88
82.
FieldB GMacGregorB D, 1987Forecasting Techniques for Urban and Regional Planning (Hutchinson Education, London)
83.
FikT JMulliganG F, 1990, “Spatial flows and competing central places: Towards a general theory of hierarchical interaction”Environment and Planning A22527–549
84.
FischO, 1981, “Contributions to the general theory of movement”Regional Science and Urban Economics11157–173
85.
FotheringhamA S, 1983a, “A new set of spatial-interaction models: The theory of competing destinations”Environment and Planning A1515–36
86.
FotheringhamA S, 1983b, “Some theoretical aspects of destination choice and their relevance to production-constrained gravity models”Environment and Planning A151121–1132
87.
FotheringhamA S, 1984, “Spatial flows and spatial patterns”Environment and Planning A16529–543
88.
FotheringhamA S, 1986, “Modelling hierarchical destination choice”Environment and Planning A18401–418
89.
FotheringhamA S, 1988, “Market share analysis techniques: A review and illustration of current US practice”, in Store Choice, Store Location and Market Analysis Ed. WrigleyN (Routledge, Chapman and Hall, Andover, Hants) pp 120–159
90.
FotheringhamA SKnudsenD C, 1986, “Discontinuous change in the relative location of retail outlets: Further results”Modelling and Simulation16111–115
91.
FotheringhamA SO'KellyM E, 1989Spatial Interaction Models: Formulations and Applications (Kluwer, Dordrecht)
92.
FotheringhamA SWebberM J, 1980, “Spatial structure and the parameters of spatial interaction models”Geographical Analysis1233–46
93.
GarnerB J, 1970, “Towards a better understanding of shopping patterns”, in Geographical Essays in Honour of KC Edwards Eds OsborneR HBarnesF ADoornkampJ C; Department of Geography, University of Nottingham, Nottingham, pp 179–186
94.
GarrisonW L, 1956, “Estimates of the parameters of spatial interaction”Papers and Proceedings of the Regional Science Association2280–288
95.
GautschiD A, 1981, “Specification of patronage models for retail centre choice”Journal of Marketing Research18162–174
96.
GhoshA, 1985, “Parameter nonstationarity in retail choice models”Journal of Business Research12425–436
97.
GhoshACraigC S, 1986, “An approach to determining optimal locations for new services”Journal of Marketing Research23354–362
98.
GhoshAMcLaffertyS, 1982, “Locating stores in uncertain environments: A scenario planning approach”Journal of Retailing585–22
99.
GhoshAMcLaffertyS L, 1987Location Strategies for Retail and Service Firms (D C Heath, Lexington, MA)
100.
GibsonMPullenM, 1972, “Retail turnover in the East Midlands: A regional application of a gravity model”Regional Studies6183–196
101.
GilliganC TRainfordP MThorneA R, 1974, “The impact of out-of-town shopping, a test of the Lakshmanan-Hansen model”European Journal of Marketing842–56
102.
GoldstuckerJ LBellengerD NStanleyT JOtteR L, 1978New Developments in Retail Trading Area Analysis and Site SelectionGeorgia State University, College of Business Administration, Atlanta, GA
103.
GolledgeR G, 1983, “Models of man, points of view, and theory in social science”Geographical Analysis1557–60
104.
GolledgeR GTimmermansH, 1988Behavioural Modelling in Geography and Planning (Croom Helm, Andover, Hants)
105.
GouldP, 1972, “Pedagogic review”Annals of the Association of American Geographers62689–700
106.
GriffithD AJonesK G, 1980, “Explorations into the relationship between spatial structure and spatial interaction”Environment and Planning A12187–201
107.
GriggD B, 1977, “E G Ravenstein and the ‘laws of migration’”Journal of Historical Geography341–54
108.
GuyC M, 1987, “Recent advances in spatial interaction modelling: An application to the forecasting of shopping travel”Environment and Planning A19173–186
109.
GuyC M, 1991, “Spatial interaction modelling in retail planning practice: The need for robust statistical methods”Environment and Planning B: Planning and Design18191–203
110.
HagishimaSMitsuyoshiKKuroseS, 1987, “Estimation of pedestrian shopping trips in a neighbourhood by using a spatial interaction model”Environment and Planning A191139–1152
111.
HallamB RWarrenS ERenfrewC, 1976, “Obsidian in the western Mediterranean: Characterisation by neutron activation analysis and optical emission spectroscopy”Proceedings of the Prehistoric Society4285–110
112.
HallefjordAJornstenK, 1985, “A note on relaxed gravity models”Environment and Planning A17597–603
113.
HansenM HWeinbergC A, 1979, “Retail market share in a competitive environment”Journal of Retailing5637–46
114.
HarrisB, 1964, “A note on the probability of interaction at a distance”Journal of Regional Science531–35
115.
HarrisBWilsonA G, 1978, “Equilibrium values and attractiveness terms in production-constrained spatial-interaction models”Environment and Planning A10371–388
116.
HaynesK EFotheringhamA S, 1984Gravity and Spatial Interaction Models (Sage, Beverly Hills, CA)
117.
HealeyM JIlberyB W, 1990Location and Change: Perspectives on Economic Geography (Oxford University Press, Oxford)
118.
HerbertD TThomasC J, 1990Cities in Space: City as Place (David Fulton, London)
119.
HollanderS C, 1960, “The wheel of retailing”Journal of Marketing2437–42
120.
HollanderS C, 1981, “Retailing theory: Some criticism and some admiration”, in Theory in Retailing: Traditional and Non-traditional Sources Eds StampflR WHirschmanE C, American Marketing Association, Chicago, IL, pp 84–94
121.
HowellR DRogersJ D, 1983, “The estimation of patronage models in the presence of interindividual heterogeneity and nongeneric attributes”, in Patronage Behaviour and Retail Management Eds DardenW RLuschR F (North-Holland, New York) pp 307–318
122.
HuaC, 1980, “An exploration of the nature and rationale of a systemic model”Environment and Planning A12713–726
123.
HuaCPorellF, 1979, “A critical review of the development of the gravity model”International Regional Science Review497–126
124.
HubbardR, 1979, “Parameter stability in cross-sectional models of ethnic shopping behaviour”Environment and Planning A11977–992
125.
HubbardRThompsonA F, 1981, “Preference structures and consumer spatial indifference behaviour: Some theoretical problems”Tijdschrift voor Economische en Sociale Geografie7235–39
126.
HudsonR, 1976, “Linking studies of the individual with models of aggregate behaviour: An empirical example”Transactions of the Institute of British Geographers1159–174
127.
HuffD L, 1962, “A note on the limitations of intraurban gravity models”Land Economics3864–66
128.
HuffD L, 1963, “A probabilistic analysis of shopping centre trade areas”Land Economics3981–90
129.
HuffD L, 1964, “Defining and estimating a trading area”Journal of Marketing2834–38
130.
HuffD L, 1966, “A programmed solution for approximating an optimum retail location”Land Economics42293–303
131.
HuffD LJenksG F, 1968, “A graphic interpretation of the friction of distance in gravity models”Annals of the Association of American Geographers58813–824
132.
HuriotJ-MSmithT EThisseJ-F, 1989, “Minimum-cost distances in spatial analysis”Geographical Analysis21294–315
133.
HymanG M, 1969, “The calibration of trip distribution models”Environment and Planning1105–112
134.
IsardW, 1956Location and Space Economy: A General Theory Relating to Industrial Location, Market Areas, Land Use, Trade and Urban Structure (MIT Press, Cambridge, MA)
135.
JainA KMahajanV, 1979, “Evaluating the competitive environment in retailing using multiplicative competitive interactive models”, in Research in Marketing Ed. ShethJ (JAI Press, Greenwich, CT) pp 217–235
136.
JayetH, 1990a, “Spatial search processes and spatial interaction: 1. Sequential search, intervening opportunities, and spatial search equilibrium”Environment and Planning A22583–599
137.
JayetH, 1990b, “Spatial search processes and spatial interaction: 2. Polarization, concentration, and spatial search equilibrium”Environment and Planning A22719–732
138.
Jensen-ButlerC, 1972, “Gravity models as planning tools: A review of theoretical and operational problems”Geografiska Annaler54B68–78
139.
JohnstonR J, 1973, “On frictions of distance and regression coefficients”Area5187–191
140.
JohnstonR J, 1976, “On regression coefficients in comparative studies of the ‘frictions of distance’”Tijdschrift voor Economische en Sociale Geografie6715–28
141.
JohnstonR J, 1978, “Paradigms and revolutions or evolution: Observations on human geography since the Second World War”Progress in Human Geography2189–206
142.
JohnstonR J, 1991Geography and Geographers: Anglo-American Human Geography Since 19454th edition (Edward Arnold, Sevenoaks, Kent)
143.
JungA F, 1959, “Is Reilly's law of retail gravitation always true?”Journal of Marketing1462–63
144.
KaashoekJ FVorstA C F, 1984, “The cusp catastrophe in the urban retail model”Environment and Planning A16851–862
145.
KivellP TShawG, 1980, “The study of retail location”, in Retail Geography Ed. DawsonJ (Croom Helm, Andover, Hants) pp 95–155
KohsakaH, 1989, “A spatial search-location model of retail centres”Geographical Analysis21338–349
148.
KorcelliP, 1976, “Urban spatial interaction models in a planned economy: A review”International Regional Science Review174–87
149.
KuhnT S, 1970The Structure of Scientific Revolutions (University of Chicago Press, Chicago, IL)
150.
LakshmananT RHansenW G, 1965, “A retail market potential model”Journal of the American Institute of Planners31134–143
151.
LakshmananT RHuaC, 1983, “A temporal-spatial theory of consumer behaviour”Regional Science and Urban Economics13341–361
152.
LordJ DMesimerD B, 1982, “Trade area, land use mix, and diurnal shifts in store patronage patterns”Akron Business and Economic Review1317–22
153.
LoschA, 1954The Economics of Location translated by WolgomW HStolperW F (Yale University Press, New Haven, CT)
154.
LouviereJ JTimmermansH, 1990, “A review of recent advances in decompositional preference and choice models”Tijdschrift voor Economische en Sociale Geografie81214–224
155.
LowryI, 1964A Model of Metropolis (Rand Corporation, Santa Monica, CA)
156.
LuceR, 1959Individual Choice Behaviour (John Wiley, New York)
McKinneyW M, 1968, “Carey, Spencer, and modern geography”The Professional Geographer20103–106
159.
McLoughlinJ BNixC KFootD H S, 1966Regional Shopping Centres in the North WestDepartment of Town Planning, Manchester University, Manchester
160.
McNairM P, 1931, “Trends in large scale retailing”Harvard Business Review1030–39
161.
McNairM P, 1958, “Significant trends and developments in the post-war period”, in Competitive Distribution in a Free High Level Economy and Its Implications for the University Ed. SmithA B (University of Pittsburg Press, Pittsburg, PA) pp 1–25
162.
MackayD BOlshavskyR W, 1975, “Cognitive maps of retail locations: An investigation of some basic issues”Journal of Consumer Research2197–205
163.
MahajanVSharmaSSrinivasD, 1985, “An application of portfolio analysis for identifying attractive retail locations”Journal of Retailing6119–34
164.
MayoE JJarvisL PXanderJ A, 1988, “Beyond the gravity model”Journal of the Academy of Marketing Science1623–29
165.
MazurkiewiczL, 1985, “A statistical model of a multitrip spatial-interaction pattern”Environment and Planning A171533–1539
166.
MillerE JLermanS R, 1979, “A model of retail location, scale, and intensity”Environment and Planning A11177–192
167.
MillerH JO'KellyM E, 1991, “Properties and estimation of a production-constrained Alonso model”Environment and Planning A23127–138
168.
MooreSAttewellG, 1991, “To be and where not to be: The Tesco approach to locational analysis”OR Insight421–24
169.
MuenchT J, 1988, “Quantum agglomeration formation during growth in a combined economic/gravity model”Journal of Urban Economics23199–214
170.
NakanishiMCooperL G, 1974, “Parameter estimation for a multiplicative competitive interaction model—least squares approach”Journal of Marketing Research11303–311
171.
NEDO, 1970, “Urban models in shopping studies”, National Economic Development Office, Millbank Tower, Millbank, London SW1
172.
NevinJ RHoustonM J, 1980, “Image as a component of attraction to intraurban shopping areas”Journal of Retailing5677–93
173.
NiedercornJ HBechdoltV B, 1969, “Economic derivation of the ‘gravity law’ of spatial interaction”Journal of Regional Science9273–282
174.
NiedercornJ HBechdoltV B, 1972, “An economic derivation of the ‘gravity law’ of spatial interaction: A further reply and a reformulation”Journal of Regional Science12127–136
175.
NijkampPPootJ, 1987, “Dynamics of generalised spatial interaction models”Regional Science and Urban Economics17367–390
176.
NijkampPReggianiA, 1990, “Logit models and chaotic behaviour: A new perspective”Environment and Planning A221455–1467
177.
O'BrienLHarrisF, 1991Retailing: Shopping, Society, Space (David Fulton, London)
178.
O'KellyM E, 1981, “A model of the demand for retail facilities incorporating multistop, multipurpose trips”Geographical Analysis13134–148
179.
O'KellyM EMillerH J, 1989, “A synthesis of some market area delimitation models”Growth and Change2014–33
180.
OlssonG, 1965Distance and Human Interaction: A Review and Bibliography (Regional Science Research Institute, Philadelphia, PA)
181.
OlssonG, 1966, “Central place systems, spatial interaction and stochastic processes”Papers of the Regional Science Association1813–45
182.
OlssonG, 1970, “Explanation, prediction, and meaning variance: An assessment of distance interaction models”Economic Geography46223–233
183.
OpenshawS, 1973, “Insoluble problems in shopping model calibration when the trip pattern is not known”Regional Studies7367–371
184.
OpenshawS, 1975aSome Theoretical and Applied Aspects of Spatial Interaction Shopping Models (Geo Books, Norwich)
185.
OpenshawS, 1975b, “A reply to R L Davies on the problem of calibrating shopping models”Regional Studies9279–280
186.
OpenshawS, 1976, “An empirical study of some spatial interaction models”Environment and Planning A823–41
187.
OpenshawS, 1977, “Optimal zoning systems for spatial interaction models”Environment and Planning A9169–184
188.
OpenshawS, 1983The Modifiable Area Unit Problem (Geo Books, Norwich)
189.
OpenshawS, 1986, “Modelling relevance”Environment and Planning A18143–147
190.
OpenshawS, 1989a, “Computer modelling in human geography”, in Remodelling Geography Ed. MacmillanB (Basil Blackwell, Oxford) pp 70–88
191.
OpenshawS, 1989b, “Making geodemographics more sophisticated”Journal of the Market Research Society31111–131
192.
OpenshawSTaylorP J, 1979, “A million or so correlation coefficients: Three experiments on the modifiable areal unit problem”, in Statistical Applications in the Spatial Sciences Ed. WrigleyN (Pion, London) pp 127–144
193.
OppenheimN, 1990, “Discontinuous changes in equilibrium retail activity and travel structures”Papers of the Regional Science Association6843–56
194.
PacioneM, 1974, “Measures of the attraction factor: A possible alternative”Area6279–282
195.
PankhurstI CRoeP E, 1978, “An empirical study of two shopping models”Regional Studies12727–748
196.
Parry-LewisJBridgesM J, 1974, “The two-stage household shopping model used in the Cambridge sub-region study”Regional Studies8287–297
197.
Parry-LewisJTraillA L, 1968, “The assessment of shopping potential and the demand for shops”Town Planning Review38317–326
198.
PennyN JBroomD, 1988, “The Tesco approach to store location”, in Store Choice, Store Location and Market Analysis Ed. WrigleyN (Routledge, Chapman and Hall, Andover, Hants) pp 106–119
199.
PipkinJ S, 1981, “The concept of choice and cognitive explanations of spatial behaviour”Economic Geography57315–331
200.
PoolerJ A, 1977, “The origins of the spatial tradition in geography: An interpretation”Ontario Geography1156–83
201.
PopperK R, 1968The Logic of Scientific Discovery (Hutchinson Education, London)
202.
PostonTWilsonA G, 1977, “Facility size versus distance travelled: Urban services and the fold catastrophe”Environment and Planning A9681–686
203.
RavensteinE G, 1885, “The laws of migration”Journal of the Statistical Society48167–227
204.
RavensteinE G, 1889, “The laws of migration”Journal of the Statistical Society52214–301
205.
ReckerW WSchulerH J, 1981, “Destination choice and processing spatial information: Some empirical tests with alternative constructs”Economic Geography57373–383
206.
ReillyW J, 1929, “Methods for the study of retail relationships”, Bulletin 2944, Bureau of Business Research, University of Texas, Austin, TX
207.
ReillyW J, 1931The Law of Retail Gravitation (William J Reilly, New York)
208.
ReillyW J, 1953The Law of Retail Gravitation2nd edition (Pilsbury Publishers, New York)
209.
ReynoldsJ, 1990, “Evaluating the use of spatial marketing techniques in retail decisionmaking”, paper presented at British Academy of Management Annual Conference, Glasgow; copy available from the author
210.
ReynoldsR B, 1953a, “A test of the law of retail gravitation”Journal of Marketing28273–277
211.
ReynoldsR B, 1953b, “A rejoinder”Journal of Marketing18172–174
212.
RhodesTWhitakerR, 1967, “Forecasting shopping demand”Journal of the Town Planning Institute53188–192
213.
RijkF J AVorstA C F, 1983, “On the uniqueness and existence of equilibrium points in an urban retail model”Environment and Planning A15475–482
214.
RobertsA, 1982, “Superstore and hypermarket impact analysis”The Planner688–11
215.
RobertsM, 1971, “Shopping [2]”Official Architecture and Planning34539–544
216.
RogersD S, 1984, “Modern methods of sales forecasting B. Gravity models”, in Store Location and Store Assessment Research Eds DaviesR LRogersD S (John Wiley, Chichester, Sussex) pp 319–331
217.
RogersD S, 1987, “Shop location analysis”, in The Changing Face of British Retailing Ed. McFadyenE (Newman Books, London) pp 74–83
218.
RoseG S, 1987, “Reconstructing a retail trade area: Tucker's general store, 1850–1860”The Professional Geographer3933–40
219.
RouseJ W, 1953, “Estimating productivity for planned regional shopping centres”Urban Land News1210–15
220.
RoyJ R, 1990, “Spatial interaction modelling: Some interpretations and challenges”Environment and Planning A22712–716
221.
RoyJ RJohanssonB, 1984, “On planning and forecasting the location of retail and service activity”Regional Science and Urban Economics14433–452
222.
SayerR A, 1977, “Gravity models and spatial autocorrelation, or atrophy in urban and regional modelling”Area9183–189
223.
SchneiderM, 1959, “Gravity models and trip distribution theory”Papers and Proceedings of the Regional Science Association551–56
224.
SchwartzG, 1962, “Laws of retail gravitation: An appraisal”University of Washington Business Review2253–70
225.
SeniorM L, 1979, “From gravity modelling to entropy maximizing: A pedagogic guide”Progress in Human Geography3175–210
226.
SheppardE S, 1978, “Theoretical underpinnings of the gravity hypothesis”Geographical Analysis10386–402
ShethJGardnerD MGarrettD E, 1988Marketing Theory: Evolution and Evaluation (John Wiley, New York)
229.
SlaterP B, 1989, “Maximum-entropy representations in convex polytopes: Applications to spatial interaction”Environment and Planning A211541–1546
230.
SleightPLeventhalB, 1989, “Applications of geodemographics to research and marketing”Journal of the Market Research Society3175–101
231.
SpencerA H, 1978, “Deriving measures of attractiveness for shopping centres”Regional Studies12713–726
232.
StanleyT JSewallM A, 1976, “Image inputs to a probabilistic model: Predicting retail potential”Journal of Marketing4048–53
233.
StanleyT JSewallM A, 1978, “Predicting supermarket trade: Implications for marketing management”Journal of Retailing5413–22; 91–92
234.
StetzerF, 1976, “Parameter estimation for the constrained gravity model: A comparison of six methods”Environment and Planning A8673–683
235.
StewartJ Q, 1941, “An inverse distance variation for certain social influences”Science9389–90
236.
StrohkarckFPhelpsK, 1948, “The mechanics of constructing a market area map”Journal of Marketing13493–496
237.
SweetF H, 1964, “An error parameter for the Reilly — Converse law of retail gravitation”Journal of Regional Science569–72
238.
TabuchiT, 1984, “The systemic variables and elasticities in Alonso's general theory of movement”Regional Science and Urban Economics14249–264
239.
ThorpeD, 1975, “Assessing the need for shops—or, can planners plan”, in Retail Planning and DevelopmentPlanning and Transport Research and Computation, Glenthorne House, Hammersmith Grove, London W6 0LG, pp 43–52
240.
TimmermansH, 1980, “Consumer spatial choice strategies: A comparative study of some alternative behavioural spatial shopping models”Geoforum11123–131
241.
TimmermansHGolledgeR G, 1990, “Applications of behavioural research on spatial problems II: Preference and choice”Progress in Human Geography14311–354
242.
TocalisT R, 1978, “Changing theoretical foundations of the gravity concept of human interaction”, in The Nature of Change in Geographical Ideas Ed. BerryB J L (Northern Illinois University Press, De Kalb, IL) pp 65–124
243.
TurnerRColeH S D, 1980, “An investigation into the estimation and reliability of urban shopping models”Urban Studies17139–157
244.
van LieropWNijkampP, 1980, “Spatial choice and interaction models: Criteria and aggregation”Urban Studies17299–311
245.
VoorheesA M, 1957, “The geography of prices and spatial interaction”Papers and Proceedings of the Regional Science Association3130–133
WagnerW B, 1974, “An empirical test of Reilly's law of retail gravitation”Growth and Change530–35
248.
WebberM J, 1977, “Pedagogy again: What is entropy?”Annals of the Association of American Geographers67254–266
249.
WhysallP, 1981, “Retail competition and the planner”Retail and Distribution Management944–47
250.
WilkinsonC, 1980, “Status quo-ism in modelling—a shopping models approach”Planning Outlook2330–33
251.
WilliamsH C W LKimK S, 1990a, “Location-spatial interaction models: 2. Competition between independent firms”Environment and Planning A221155–1168
252.
WilliamsH C W LKimK S, 1990b, “Location-spatial interaction models: 3. Competition between organisations”Environment and Planning A221281–1290
253.
WilliamsH C W LKimK SMartinD, 1990, “Location-spatial interaction models: 1. Benefit-maximizing configurations of services”Environment and Planning A221079–1089
254.
WilliamsJArnottC, 1977, “A new look at retail forecasts”The Planner63170–172
255.
WilliamsP A, 1988, “A recursive model of intraurban trip-making”Environment and Planning A20535–546
256.
WilsonA G, 1967, “A statistical theory of spatial distribution models”Transportation Research1253–269
257.
WilsonA G, 1968, “Notes on some concepts in social physics”Papers and Proceedings of the Regional Science Association22159–193
258.
WilsonA G, 1971, “A family of spatial interaction models, and associated developments”Environment and Planning31–32
259.
WilsonA G, 1984, “Making urban models more realistic: Some strategies for future research”Environment and Planning A161419–1432
260.
WilsonA GOultonM J, 1983, “The corner-shop to supermarket transition in retailing: The beginnings of empirical evidence”Environment and Planning A15265–274
261.
WrigleyNLongleyP A, 1984, “Discrete choice modelling in urban analysis”, in Geography and the Urban Environment: Progress in Research and Applications Volume IV Eds HerbertD TJohnstonR J (John Wiley, Chichester, Sussex) pp 45–94
262.
YoungE C, 1924, “The movement of farm population”, Bulletin 426, Cornell Agricultural Experiment Station, Ithaca, NY
263.
YoungW J, 1975, “Distance decay values and shopping centre size”The Professional Geographer21304–309
264.
YuillR S, 1967, “Spatial behaviour of retail customers”Geografiska Annaler49B105–114
265.
ZipfG K, 1949Human Behaviour and the Principle of Least Effort: An Introduction to Human Ecology (Addison-Wesley, Reading, MA)
