Representations of quantitative geography, both by practitioners and by others, have tended to associate quantification with empiricism, positivism, and the social and academic status quo. Qualitative geography, by contrast is represented as nonempiricist or postempiricist, sensitive to complexity, contextual, and capable of empowering nonmainstream academic approaches and social groups. Attempts to engage in debate between these positions rarely challenge this dualism, reproducing the representation of quantitative geography as logical positivism, and a dualism separating quantitative and qualitative geography. I argue that this dualism can be broken down, by deconstructing the underlying representation. I discuss why this representation came into existence and how it was stabilized; how close attention to the practices of quantitative geographers, and particularly to the evolution of these practices, reveals its inadequacies; and what new possibilities for quantitative practices emerge from this deconstruction. GIS, one of the recent manifestations around which representations of quantitative geography polarize, is used as a case study to illustrate these arguments. I pay particular attention to the question of the relevance of quantitative practices for an emancipatory human geography.
AgnewJ, 1989, “Sameness and difference: Hartshorne's The Nature of Geography and geography as areal variation”, in Reflections on Richard Hartshorne's The Nature of Geography Eds EntrikinNBrunnS (The Association of American Geographers, Washington, DC) pp 121–140
3.
AndersonPArrowK JPinesD (Eds), 1988The Economy as an Evolving Complex System (Addison-Wesley, New York)
4.
ArthurW B, 1994Increasing Returns and Path Dependence in the Economy (University of Michigan Press, Ann Arbor, MI)
5.
BarnesT, 1996Logics of Dislocation: Models, Metaphors, and Meanings of Economic Space (Guilford Press, New York)
6.
BarnesT J, 1998, “A history of regression: Actors, networks, machines, and numbers”Environment and Planning A30203–223
7.
BarnesTSheppardE, 1992, “Is there a place for the rational actor? A geographical critique of the rational choice paradigm”Economic Geography681–21
8.
BattyMLongleyP, 1994Fractal Cities: A Geometry of Form and Function (Academic Press, London)
9.
BennettR J, 1985, “Quantification and relevance”, in The Future of Geography Ed. JohnstonR J (Methuen, London) pp 211–224
10.
BennettR JWrigleyN, 1981, “Introduction”, in Quantitative Geography: A British View Eds WrigleyNBennettR J (Routledge and Kegan Paul, London) pp 3–12
11.
BerryB J L, 1993, “Geography's quantitative revolution: Initial conditions, 1954–1960: A personal memoir”Urban Geography14343–441
12.
BurtonI, 1963, “The quantitative revolution in theoretical geography”The Canadian Geographer7151–162
13.
ChrismanN R, 1987, “The risks of software innovation: A case study of the Harvard Lab”The American Cartographer15291–300
14.
CouclelisH, 1997, “GIS without computers: Building geographic information science from the ground up”, in Innovations in GIS 4 Ed. KempZ (Taylor and Francis, London) pp 219–226
15.
CurryL, 1962, “Climate change as a random series”Annals of the Association of American Geographers5221–31
16.
CurryL, 1998The Random Spatial Economy and its Evolution (Ashgate, Aldershot, Hants)
17.
CurryM, 1997, “The digital individual and the private realm”Annals of the Association of American Geographers87681–699
18.
CurryM, 1998Digital Places: Living with Geographic Information Technologies (Routledge, London)
19.
DaceyM, 1975, “Comments on papers by Isard and Smith”Papers of the Regional Science Association3551–56
20.
DixonDJonesJ PIII, 1998, “My dinner with Derrida, or spatial analysis and poststructuralism do lunch”Environment and Planning A30247–260
21.
DobsonJ, 1983, “Automated geography”The Professional Geographer35135–143
22.
DosiGPavittKSoeteL, 1990The Economics of Technical Change and International Trade (Wheatsheaf, Hemel Hempstead, Herts)
23.
EylesJ, 1993, “Feminist and interpretive method: How different?”The Canadian Geographer3750–52
24.
EylesJSmithD M (Eds), 1988Qualitative Methods in Human Geography (Polity Press, Cambridge)
FriedmanM, 1953, “The methodology of positive economics”, in Essays in Positive Economics Ed. FriedmanM (University of Chicago Press, Chicago, IL) pp 3–43
27.
GetisAOrdJ K, 1992, “The analysis of spatial association by use of distance statistics”Geographical Analysis24189–206
28.
GödelK, 1931, “Über formal unentscheidbare Sätze der Principia Mathematica und verwandter System I”Monatshefte für Mathematik und Physik38173–198
29.
GoodchildM, 1992, “Geographic information science”International Journal of Geographic Information Systems18401–408
30.
GoodchildMEgenhoferMKempKMarkDSheppardE, 1999, “Introduction”International Journal of Geographic Information Science13731–746
31.
GossJ, 1995, “We know who you are and we know where you live: The instrumental rationality of geo-marketing information systems”Economic Geography71171–198
32.
GouldP, 1976, “Is ‘statistix inferens’ the geographical name for a wild goose?”Economic Geography46439–448
33.
GouldP, 1984, “Statistics and human geography: Historical, philosophical and algebraic reflections”, in Spatial Statistics and Models Eds GaileGWillmottC (D Reidel, Dordrecht) pp 17–32
34.
GouldP, 1999Becoming a Geographer (Syracuse University Press, Syracuse, NY)
35.
GregoryD, 1978Ideology Science and Human Geography (Hutchinson, London)
HarrisTWeinerD, 1998, “Empowerment, marginalization and ‘community-integrated’ GIS”Cartography and Geographic Information Systems2567–76
42.
HarrisonSDunhamP, 1998, “Decoherence, quantum theory and their implications for the philosophy of geomorphology”Transactions of the Institute of British Geographers, New Series23501–514
43.
HarveyD, 1969Explanation in Geography (Edward Arnold, London)
44.
HarveyD, 1972, “Revolutionary and counter revolutionary theory in geography and the problem of ghetto formation”Antipode61–13
45.
HarveyD, 1982The Limits to Capital (Basil Blackwell, Oxford)
46.
HarveyD, 1996Justice, Nature and the Geography of Difference (Blackwell, Oxford)
47.
HillM R, 1981, “Positivism: A hidden philosophy in geography”, in Themes in Geographic Thought Eds HarveyMHollisB (Croom Helm, London) pp 38–60
48.
HillisK, 1999Digital Sensations: Space, Identity and Embodiment in Virtual Reality (University of Minnesota Press, Minneapolis, MN)
49.
JohnstonR J, 1981, “Ideology and quantitative human geography in the English-speaking world”, in European Progress in Spatial Analysis Ed. BennettR J (Pion, London) pp 35–50
50.
JohnstonR J, 1997Geography and Geographers: Anglo-American Human Geography Since 1945 (Arnold, London)
51.
JonesJ PIIIHanhamR, 1995, “Contingency, realism, and the expansion method”Geographical Analysis27185–208
52.
JonesJ PIIINastH JRobertsS (Eds), 1997Thresholds in Feminist Geography: Difference, Methodology and Representation (Rowman and Littlefield, Lanham, MD)
53.
KellertS H, 1993In the Wake of Chaos (University of Chicago Press, Chicago, IL)
54.
KingL, 1994, “Spatial analysis and the institutionalization of geography as a social science”Urban Geography14538–551
55.
KrugmanP, 1996, “What economists can learn from evolutionary theorists”, paper presented to the European Association for Evolutionary Political Economy, November, http://web.mit.edu/krugman/www/
56.
LakeR W, 1993, “Planning and applied geography: Positivism, ethics and geographic information systems”Progress in Human Geography17404–413
57.
LatourB, 1987Science in Action (Harvard University Press, Cambridge, MA)
58.
LatourB, 1996Aramis, or Love of Technology (Harvard University Press, Cambridge, MA)
59.
LaurierEPhiloC, 1999, “X-morphising: Review essay of Bruno Latour's Aramis, or the Love of Technology”Environment and Planning A311047–1071
60.
LawsonV, 1995, “The politics of difference: Examining the quantitative/qualitative dualism in post-structuralist feminist research”The Professional Geographer47449–457
61.
LeyD, 1978, “The personality of a geographical fact”The Professional Geographer298–13
62.
LivingstonI, 1997Arrow of Chaos: Romanticism and Postmodernity (University of Minnesota Press, Minneapolis, MN)
63.
LukermannF, 1989, “The nature of geography: Post hoc, ergo propter hoc?”, in Reflections on Richard Hartshorne's The Nature of Geography Eds EntrikinNBrunnS (The Association of American Geographers, Washington, DC) pp 53–69
64.
McClaffertyS, 1995, “Counting for women”The Professional Geographer47436–441
65.
McDowellL, 1992, “Doing gender: Feminism, feminists and research methods in human geography”Transactions of the Institute of British Geographers, New Series17399–416
66.
MandelbrotB, 1977Fractals: Form, Chance and Dimension (W H Freeman, San Francisco, CA)
67.
MarchandB, 1974, “Quantitative geography: Revolution or counter-revolution?”Geoforum1715–24
68.
MasseyD, 1973, “Towards a critique of location theory”Antipode533–49
69.
MasseyD, 1985, “New directions in space”, in Social Relations and Spatial Structures Eds GregoryDUrryJ (Macmillan, London) pp 9–19
70.
MasseyD, 1999, “Space — time, ‘science’ and the relationship between physical and human geography”Transactions of the Institute of British Geographers, New Series24261–276
71.
MasseyDMeeganR, 1985Politics and Method: Contrasted Approaches in Industrial Geography (Methuen, London)
72.
MayR M, 1976, “Simple mathematical models with very complicated dynamics”Nature261459–467
73.
MirowskiP, 1984, “Physics and the marginalist revolution”Cambridge Journal of Economics8361–379
74.
MitchellT, 1999, “Society, economy and the state effect”, in State/Culture: State Formation After the Cultural Turn Ed. SteinmetzG (Cornell University Press, Ithaca, NY) pp 76–98
75.
MorishimaM, 1973Marx's Economics: A Dual Theory of Value and Growth (Cambridge University Press, Cambridge)
76.
ObermeyerN (Ed.), 1998, “Public participation GIS”Cartography and Geographic Information Systems special issue 25(2)
77.
OlssonG, 1991Lines of Power/Limits of Language (University of Minnesota Press, Minneapolis, MN)
78.
OlssonG, 2000, “From a = b to a = a”Environment and Planning A321235–1244
79.
OpenshawS, 1991, “A view on the GIS crisis in geography, or, using GIS to put Humpty-Dumpty back together again”Environment and Planning A23621–628
80.
OpenshawS, 1998, “Towards a more computationally minded scientific human geography”Environment and Planning A30317–332
81.
OpenshawSOpenshawC A, 1997An Introduction to Artificial Intelligence in Geography (John Wiley, New York)
82.
PenroseR, 1989The Emperor's New Mind (Oxford University Press, Oxford)
83.
PhillipsJ D, 1999Earth Surface Systems: Complexity Order and Scale (Blackwell, Malden, MA)
84.
PicklesJ, 1991, “Geography, GIS, and the surveillant society”Papers and Proceedings of Applied Geography Conferences1480–91
85.
PicklesJ, 1995, “Representations in an electronic age: Geography, GIS and democracy”, in Ground Truth: The Social Implications of Geographic Information Systems Ed. PicklesJ (Guilford, New York) pp 1–30
86.
PicklesJ, 1997, “Tool or science? GIS, technoscience, and the theoretical turn”Annals of the Association of American Geographers87363–372
87.
PicklesJ, 1999, “Arguments, debates and dialogues: The GIS—social theory debate and concerns for alternatives”, in Geographical Information Systems: Principles, Techniques, Management, and Applications Eds LongleyPGoodchildMMaguireDRhindD (John Wiley, New York) pp 49–60
88.
PlummerPSheppardE, 2001, “Must emancipatory economic geography be qualitative? A response to Amin and Thrift”Antipode30194–199
89.
PopperK, 1959The Logic of Scientific Discovery (Basic Books, New York)
90.
RaschWWolfeC (Eds), 2000Observing Complexity: Systems Theory and Postmodernity (University of Minnesota Press, Minneapolis, MN)
91.
RhoadsB LThornC E (Eds), 1996The Scientific Nature of Geomorphology (John Wiley, Chichester, Sussex)
92.
RichardsK SBrooksS MCliffordN JHarrisT R JLaneS N, 1997, “Theory, measurement and testing in ‘real’ geomorphology and physical geography”, in Process and Form in Geomorphology Ed. StoddardD R (Blackwell, Oxford) pp 265–292
93.
RoseG, 1993Feminism and Geography: The Limits of Geographical Knowledge (University of Minnesota Press, Minneapolis, MN)
94.
RundstromR A, 1995, “GIS, indigenous peoples, and epistemological diversity”Cartography and Geographic Information Systems2245–57
95.
SayerA, 1976, “A critique of urban modeling: From regional science to urban and regional political economy”Progress in Planning6187–254
96.
SayerA, 1984Method in Social Science: A Realist Approach (Hutchinson, London)
97.
SchaefferF K, 1953, “Exceptionalism in geography: A methodological examination”Annals of the Association of American Geographers43226–249
98.
SheppardE, 1993, “Automated geography: What kind of geography for what kind of society?”The Professional Geographer45457–460
99.
SheppardE, 1995a, “Dissenting from spatial analysis”Urban Geography16283–303
100.
SheppardE, 1995b, “GIS and society: Towards a research agenda”Cartography and Geographical Information Systems225–16
101.
SheppardE, 1996, “Site, situation, and social theory”Environment and Planning A281339–1342
102.
SheppardE, 2000, “Geography or economics?”, in Handbook of Economic Geography Eds ClarkGGertlerMFeldmanM (Oxford University Press, Oxford) pp 199–219
103.
SheppardEBarnesT J, 1990The Capitalist Space Economy: Geographical Analysis After Ricardo, Marx and Sraffa (Unwin Hyman, London)
104.
SheppardECouclelisHGrahamSHarringtonJ WOnstudH, 1999, “Geographies of the information society”International Journal of Geographic Information Science13797–823
105.
SibleyD, 1998, “Sensations and spatial science: Gratification and anxiety in the production of ordered landscapes”Environment and Planning A30235–246
106.
SmithN, 1992, “History and philosophy of geography: Real wars, theory wars”Progress in Human Geography16257–271
107.
StaehiliLLawsonV, 1995, “Feminism, praxis, and human geography”Geographical Analysis27321–338
108.
StengersI, 1997Power and Invention: Situating Science (University of Minnesota Press, Minneapolis, MN)
109.
SuiD, 1994, “GIS and urban studies: Positivism, post-positivism and beyond”Urban Geography15258–278
110.
TaylorP, 1976, “An interpretation of the quantification debate in British geography”Transactions of the Institute of British Geographers, New Series1129–144
ThomR, 1975Structural Theory and Morphogenesis (W A Benjamin, Reading, MA)
113.
WallersteinI, 1991Geopolitics and Geoculture: Essays on the Changing World-system (Cambridge University Press, Cambridge)
114.
WallersteinI, 1996, “History in search of science”Review1911–22
115.
WeinerDWarnerTHarrisT MLevinR, 1995, “Apartheid representations in a digital landscape: GIS, remote sensing and local knowledge in Kiepersol, South Africa”Cartography and Geographic Information Systems2230–44
116.
WilsonA G, 1981Catastrophe Theory and Bifurcation: Applications to Urban and Regional Systems (Croom Helm, London)
117.
WrightD JGoodchildM FProctorJ D, 1997, “GIS: Tool or science? Demystifying the persistent ambiguity of GIS as ‘tool’ versus ‘science’”Annals of the Association of American Geographers87346–362
118.
ZadehL A, 1965, “Fuzzy sets”Information and Control8338–353
