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The geometry of environmental knowledge

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Theories and Methods of Spatio-Temporal Reasoning in Geographic Space

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 639))

Abstract

Theoretical and empirical work on the geometry of environmental knowledge is discussed. Certain patterns of distance and directional estimates collected from humans have been interpreted as being due to non-metric or non-Euclidean spatial knowledge. I argue that attempts to determine this geometry are inconsistent with existing theoretical models of human knowledge storage and use. Spatial estimation data are more parsimoniously explained as resulting from: (a) measurement error and ambiguity, (b) multiple and uncoordinated long-term memory representations, and (c) processes taking place when spatial knowledge is activated and used.

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References

  1. J.R.Anderson: Arguments concerning representations for mental imagery. Psychological Review 85, 249–277 (1978)

    Google Scholar 

  2. J.C.Baird: Psychophysical analysis of visual space. New York: Pergamon (1970)

    Google Scholar 

  3. J.C.Baird, M.Wagner, E.Noma: Impossible cognitive spaces. Geographical Analysis 14, 204–216 (1982)

    Google Scholar 

  4. A.A.Blank: Curvature of binocular visual space. Journal of the Optical Society of America 51, 335–339 (1961)

    Google Scholar 

  5. B.P.Buttenfields: Comparing distortion on sketch maps and MDS configurations. Professional Geographer 38, 238–246 (1986)

    Google Scholar 

  6. M.T.Cadwallader: Cognitive distance in intraurban space. In: G.T.Moore, R.G.Golledge (eds.): Environmental knowing. Stroudsburg, PA: Dowden, Hutchinson & Ross 1976, pp. 316–324

    Google Scholar 

  7. M.T.Cadwallader: Problems in cognitive distance: Implications for cognitive mapping. Environment and Behavior 11, 559–576 (1979)

    Google Scholar 

  8. D.Canter, S.Tagg: Distance estimation in cities. Environment and Behavior 7, 59–80 (1975)

    Google Scholar 

  9. R.M.Downs: Maps and mappings as metaphors for spatial representation. In: L.S.Liben, A.H.Patterson, N.Newcombe (eds.): Spatial representation and behavior across the life span. New York: Academic 1981, pp. 143–166

    Google Scholar 

  10. R.M.Downs, D.Stea: Cognitive maps and spatial behavior: Process and products. In: R.M.Downs, D. Stea (eds.): Image and environment. Chicago: Aldine 1973, pp. 8–26

    Google Scholar 

  11. J.M.Foley: The size-distance relation and the intrinsic geometry of visual space. Vision Research 12, 323–332 (1972)

    PubMed  Google Scholar 

  12. T.Gärling, A.Böök, E.Lindberg, C.Arce: Evidence of a response-bias explanation of non-Euclidean cognitive maps. Professional Geographer 43, 143–149 (1991)

    Google Scholar 

  13. R.G.Golledge, L.J.Hubert: Some comments on non-Euclidean mental maps. Environment and Planning A 14, 107–118 (1982)

    Google Scholar 

  14. A.Grünbaum: Philosophical problems of space and time, 2nd ed. Dordrecht, The Netherlands: D.Reidel (1973)

    Google Scholar 

  15. D.A.Hardwick, C.W.McIntyre, H.L.Pick: The content and manipulation of cognitive maps in children and adults. Monographs for the Society for Research in Child Development 41, 166 (1976)

    Google Scholar 

  16. K.J.Holyoak, W.A.Mah: Cognitive reference points in judgments of symbolic magnitude. Cognitive Psychology 14, 328–352 (1982)

    Google Scholar 

  17. T.Indow: On geometry of frameless binocular perceptual space. Psychologia 17, 50–63 (1974)

    Google Scholar 

  18. W.H.Ittelson: Environment perception and contemporary perceptual theory. Ins W.H.Ittelson (ed.): Environment and cognition. New York: Seminar 1973, pp. 1–19

    Google Scholar 

  19. P.R.Killeen; Geometric models of proximity data. Unpublished manuscript, Arizona State University, Tempe (1979)

    Google Scholar 

  20. S.M.Kosslyn; The medium and the message in mental imagery: A theory. Psychological Review 88, 46–66 (1981)

    Google Scholar 

  21. S.M.Kosslyn, T.M.Ball, B.J.Reiser: Visual images preserve metric spatial information: Evidence from studies of image scanning. Journal of Experimental Psychology: Human Perception and Performance 4, 47–60 (1978)

    Google Scholar 

  22. B.Kuipers: The ‘map in the head’ metaphor. Environment and Behavior 14, 202–220 (1982)

    Google Scholar 

  23. B.Kuipers, T.S.Levitt: Navigation and mapping in large-scale space. Artificial Intelligence Magazine 73, 25–43 (1988)

    Google Scholar 

  24. L.S.Liben: Spatial representation and behavior: Multiple perspectives. In: L.S.Liben, A.H.Patterson, N.Newcombe (eds.): Spatial representation and behavior across the life span. New York: Academic 1981, pp. 3–36

    Google Scholar 

  25. R.Lloyd: Cognitive maps: Encoding and decoding information. Annals of the Association of American Geographers 79, 101–124 (1989)

    Google Scholar 

  26. R.K.Luneberg: The metric of binocular visual space. Journal of the Optical Society of America 40, 637–642 (1950)

    Google Scholar 

  27. K.Lynch: The image of the city. Cambridge, MA: M.I.T. Press (1960)

    Google Scholar 

  28. T.P.McNamara, J.K.Hardy, S.C.Hirtle: Subjective hierarchies in spatial memory. Journal of Experimental Psychology: Learning, Memory, and Cognition 15, 211–227 (1989)

    Google Scholar 

  29. I.Moar, G.H.Bower: Inconsistency in spatial knowledge. Memory and Cognition 11, 107–113 (1983)

    Google Scholar 

  30. D.R.Montello: The measurement of cognitive distance: Methods and construct validity. Journal of Environmental Psychology 11, 101–122 (1991)

    Google Scholar 

  31. J.Muller: Non-Euclidean geographic spaces: Mapping functional distances. Geographical Analysis 14, 189–203 (1982)

    Google Scholar 

  32. J.O'Keefe, L.Nadel: The hippocampus as a cognitive map. New York: Oxford University Press (1978)

    Google Scholar 

  33. J.Piaget, B.Inhelder: The child's conception of space. London: Routledge & Kegan Paul Ltd. (1956) (Original work published 1948)

    Google Scholar 

  34. Z.W.Pylyshyn: The imagery debate: Analogue media versus tacit knowledge. Psychological Review 88, 16–45 (1981)

    Article  Google Scholar 

  35. J.J.Rieser, J.L.Lockman, H.L.Pick: The role of visual experience in knowledge of spatial layout. Perception and Psychophysics 28, 185–190 (1980)

    PubMed  Google Scholar 

  36. E.K.Sadalla, W.J.Burroughs, L.J.Staplin: Reference points in spatial cognition. Journal of Experimental Psychology: Human Learning and Memory 6, 516–528 (1980)

    Google Scholar 

  37. W.C.Salmon: Space, time, and motion: A philosophical introduction. Dickenson (1975)

    Google Scholar 

  38. M.Schlick: The four-dimensional world. In: J.J.C.Smart (ed.): Problems of space and time. New York: The Macmillan Company 1964, pp. 292–296 (Reprinted from chap. 7 of The philosophy of nature, translated by A.von Zeppelin, Philosophical Library, New York, 1949)

    Google Scholar 

  39. R.N.Shepard: Attention and the metric structure of the stimulus space. Journal of Mathematical Psychology 1, 54–87 (1964)

    Google Scholar 

  40. R.N.Shepard: Representation of structure in similarity data — problems and prospects. Psychometrika 39, 373–422 (1974)

    Google Scholar 

  41. R.N.Shepard: Ecological constraints on internal representation: Resonant kinematics of perceiving, imagining, thinking, and dreaming. Psychological Review 91, 417–447 (1984)

    PubMed  Google Scholar 

  42. L.Sklar: Space, time, and spacetime. Berkeley: University of California (1974)

    Google Scholar 

  43. D.Stea: The measurement of mental maps: An experimental model for studying conceptual spaces. In: K.R.Cox, R.G.Golledge (eds.): Behavioral problems in geography: A symposium. Evanston, IL: Northwestern University 1969, pp. 228–253

    Google Scholar 

  44. P.W.Thorndyke, B.Hayes-Roth: Differences in spatial knowledge acquired from maps and navigation. Cognitive Psychology 14, 560–581 (1982)

    PubMed  Google Scholar 

  45. W.Tobler: The geometry of mental maps. In: R.G.Golledge, G.Rushton (eds.): Spatial choice and spatial behavior. Columbus: Ohio State University 1976, pp. 69–81

    Google Scholar 

  46. A.Tversky: Features of similarity. Psychological Review 84, 327–352 (1977)

    Google Scholar 

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A. U. Frank I. Campari U. Formentini

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© 1992 Springer-Verlag Berlin Heidelberg

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Montello, D.R. (1992). The geometry of environmental knowledge. In: Frank, A.U., Campari, I., Formentini, U. (eds) Theories and Methods of Spatio-Temporal Reasoning in Geographic Space. Lecture Notes in Computer Science, vol 639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55966-3_8

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  • DOI: https://doi.org/10.1007/3-540-55966-3_8

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  • Online ISBN: 978-3-540-47333-6

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