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Waldo Tobler (1931–2018): Analytical Cartographer and Regional Scientist

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Great Minds in Regional Science

Part of the book series: Footprints of Regional Science ((GMRS))

Abstract

In this chapter, Arthur Getis discusses Waldo Rudolph Tobler, one of the world’s leading cartographers, who specialized in mathematical representations of the Earth’s surface. Tobler was among the first to use computers in cartographic and geographic research. He was the inventor of novel and unusual map projections, including a hyper-elliptical, equal area projection that became popular for its ease of use. In one of his publications he made a casual statement about observable earth characteristics: Everything is related to everything else, but near things are more related than distant things. This became known as Tobler’s First Law of Geography. Its profundity comes from his awakening in many scholars the importance of a spatial or distance-related perspective of the world around them.

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References

  • Bunge, W. 1962, 1966. Theoretical geography, Lund Studies in Geography, 1st and 2nd editions, Series C, Lund, Sweden.

    Google Scholar 

  • Dorigo, G., and W. Tobler. 1983. Push-pull migration laws. Annals of the Association of American Geographers 73 (1): 1–17.

    Article  Google Scholar 

  • Moellering, H., and W. Tobler. 1972. Geographical variances. Geographical Analysis 4 (1): 34–50.

    Article  Google Scholar 

  • Sui, D.Z., T.J. Barnes, H.J. Miller, J.D. Phillips, J.M. Smith, M.F. Goodchild, and W. Tobler. 2004. On the first law of geography (individual commentaries). Annals of the Association of American Geographers 94 (2): 269–310.

    Article  Google Scholar 

  • Tobler, W. 1959. Automation and cartography, The Geographical Review, 49 (4): 526–534. Translated and reprinted in: Geodeziya I Kartografiya, 21 (3) (Moscow, 1962).

    Google Scholar 

  • Tobler, W. 1961. Map transformations of geographic space, Ph.D. thesis, University of Washington, Seattle; University Microfilms No 61–4011.

    Google Scholar 

  • Tobler, W. 1962a. A classification of map projections. Annals of the Association of American Geographers 52 (2): 167–175.

    Article  Google Scholar 

  • Tobler, W. 1962b. Tissot’s indicatrix and photogrammetry. Photogrammetric Engineering 28 (4): 623–625.

    Google Scholar 

  • Tobler, W. 1963. D’Arcy Thompson and the analysis of growth and form. Papers of the Michigan Academy of Science, Arts and Letters 48: 385–390.

    Google Scholar 

  • Tobler, W. 1964. Some new equal area projections. Empire Survey Review 17 (131): 240–243.

    Article  Google Scholar 

  • Tobler, W. 1965. Medieval distortions: The projections of ancient maps. Annals of the Association of American Geographers 56 (2): 351–360.

    Article  Google Scholar 

  • Tobler, W. 1966. Notes on two projections: Loximuthal and two-point equidistant. The Cartographic Journal, 87–89.

    Google Scholar 

  • Tobler, W. 1967. Of maps and matrices. Journal of Regional Science 7 (supplement): 275–280.

    Google Scholar 

  • Tobler, W. 1969. The spectrum of US 40. Papers of the Regional Science Association 23: 45–52.

    Article  Google Scholar 

  • Tobler, W. 1970. A computer movie simulating urban growth in the Detroit region. Economic Geography 46 (2): 234–240.

    Article  Google Scholar 

  • Tobler, W. 1973a. The hyperelliptical and other new pseudo-cylindrical equal area map projections. Journal of Geophysical Research 78 (11): 1753–1759.

    Article  Google Scholar 

  • Tobler, W. 1973b. A continuous transformation useful for districting. Annals, New York Academy of Sciences 2: 215–220.

    Article  Google Scholar 

  • Tobler, W. 1976. Spatial interaction patterns. Journal of Environmental Systems 6 (4): 271–301.

    Article  Google Scholar 

  • Tobler, W. 1978. An equal area map on Mercator’s projection. The American Cartographer 5 (2): 149–154.

    Article  Google Scholar 

  • Tobler, W. 1979a. Smooth pycnophylactic interpolation for geographical regions. Journal of the American Statistical Association 74 (367): 519–536.

    Article  Google Scholar 

  • Tobler, W. 1979b. Estimation of attractivities from interactions. Environment and Planning A 11 (2): 121–127.

    Article  Google Scholar 

  • Tobler, W. 1983. An alternate formulation for spatial interaction modeling. Environment and Planning A 15 (5): 693–703.

    Article  Google Scholar 

  • Tobler, W. 1985. Derivation of a spatially continuous transportation model. Transportation Research 19A (2): 169–172.

    Article  Google Scholar 

  • Tobler, W. 1986. The geographic movement of wealth in the United States. MappeMonde 1 (3): 37–40.

    Google Scholar 

  • Tobler, W. 1989. An update to ‘Numerical map generalization.’ Cartographica 26 (1): 7–25.

    Article  Google Scholar 

  • Tobler, W. 1994. Bidimensional regression. Geographical Analysis 26 (3): 186–212.

    Google Scholar 

  • Tobler, W. 1997. World population in a grid of spherical quadrangles. International Journal of Population Geography 3 (3): 203–225.

    Article  Google Scholar 

  • Tobler, W. 2002. Ma vie: Growing up in America and Europe, in Pitts, W., and P. Gould (eds), Geographical voices. Syracuse: University of Syracuse Press, 292–322.

    Google Scholar 

  • Tobler, W. 2004. On Tobler’s First Law of Geography: A reply. Annals of the Association of American Geographers 94 (2): 269–310.

    Article  Google Scholar 

  • Tobler, W., and Z. Chen. 1985. A quadtree for global information storage. Geographical Analysis 18 (4): 360–371.

    Article  Google Scholar 

  • Tobler, W., and S. Kennedy. 1985. Smooth multidimensional interpolation. Geographical Analysis 17 (3): 251–257.

    Article  Google Scholar 

  • Tobler, W., and S. Wineberg. 1971. A Cappadocian speculation. Nature 231 (5297): 39–42.

    Article  Google Scholar 

  • Yang, Q., J.P. Snyder, and W. Tobler. 2000. Map projection transformation: Principles and applications. London: Taylor and Francis.

    Google Scholar 

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Correspondence to Arthur Getis .

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Getis, A. (2020). Waldo Tobler (1931–2018): Analytical Cartographer and Regional Scientist. In: Batey, P., Plane, D. (eds) Great Minds in Regional Science. Footprints of Regional Science(). Springer, Cham. https://doi.org/10.1007/978-3-030-46157-7_12

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