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.
Dorigo, G., and W. Tobler. 1983. Push-pull migration laws. Annals of the Association of American Geographers 73 (1): 1–17.
Moellering, H., and W. Tobler. 1972. Geographical variances. Geographical Analysis 4 (1): 34–50.
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.
Tobler, W. 1959. Automation and cartography, The Geographical Review, 49 (4): 526–534. Translated and reprinted in: Geodeziya I Kartografiya, 21 (3) (Moscow, 1962).
Tobler, W. 1961. Map transformations of geographic space, Ph.D. thesis, University of Washington, Seattle; University Microfilms No 61–4011.
Tobler, W. 1962a. A classification of map projections. Annals of the Association of American Geographers 52 (2): 167–175.
Tobler, W. 1962b. Tissot’s indicatrix and photogrammetry. Photogrammetric Engineering 28 (4): 623–625.
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.
Tobler, W. 1964. Some new equal area projections. Empire Survey Review 17 (131): 240–243.
Tobler, W. 1965. Medieval distortions: The projections of ancient maps. Annals of the Association of American Geographers 56 (2): 351–360.
Tobler, W. 1966. Notes on two projections: Loximuthal and two-point equidistant. The Cartographic Journal, 87–89.
Tobler, W. 1967. Of maps and matrices. Journal of Regional Science 7 (supplement): 275–280.
Tobler, W. 1969. The spectrum of US 40. Papers of the Regional Science Association 23: 45–52.
Tobler, W. 1970. A computer movie simulating urban growth in the Detroit region. Economic Geography 46 (2): 234–240.
Tobler, W. 1973a. The hyperelliptical and other new pseudo-cylindrical equal area map projections. Journal of Geophysical Research 78 (11): 1753–1759.
Tobler, W. 1973b. A continuous transformation useful for districting. Annals, New York Academy of Sciences 2: 215–220.
Tobler, W. 1976. Spatial interaction patterns. Journal of Environmental Systems 6 (4): 271–301.
Tobler, W. 1978. An equal area map on Mercator’s projection. The American Cartographer 5 (2): 149–154.
Tobler, W. 1979a. Smooth pycnophylactic interpolation for geographical regions. Journal of the American Statistical Association 74 (367): 519–536.
Tobler, W. 1979b. Estimation of attractivities from interactions. Environment and Planning A 11 (2): 121–127.
Tobler, W. 1983. An alternate formulation for spatial interaction modeling. Environment and Planning A 15 (5): 693–703.
Tobler, W. 1985. Derivation of a spatially continuous transportation model. Transportation Research 19A (2): 169–172.
Tobler, W. 1986. The geographic movement of wealth in the United States. MappeMonde 1 (3): 37–40.
Tobler, W. 1989. An update to ‘Numerical map generalization.’ Cartographica 26 (1): 7–25.
Tobler, W. 1994. Bidimensional regression. Geographical Analysis 26 (3): 186–212.
Tobler, W. 1997. World population in a grid of spherical quadrangles. International Journal of Population Geography 3 (3): 203–225.
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.
Tobler, W. 2004. On Tobler’s First Law of Geography: A reply. Annals of the Association of American Geographers 94 (2): 269–310.
Tobler, W., and Z. Chen. 1985. A quadtree for global information storage. Geographical Analysis 18 (4): 360–371.
Tobler, W., and S. Kennedy. 1985. Smooth multidimensional interpolation. Geographical Analysis 17 (3): 251–257.
Tobler, W., and S. Wineberg. 1971. A Cappadocian speculation. Nature 231 (5297): 39–42.
Yang, Q., J.P. Snyder, and W. Tobler. 2000. Map projection transformation: Principles and applications. London: Taylor and Francis.
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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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DOI: https://doi.org/10.1007/978-3-030-46157-7_12
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