Waldo Tobler, Department of Geography, UC Santa Barbara
 



 Publications: Published

1950's | 1960's | 1970's | 1980's | 1990's | 2000's

1956.1 with B. Ingalls, "Recording Map and Monument Information on IBM Cards", Report No. 1, Department of Public Lands, State of Washington, Bureau of Surveys and Maps, Olympia, 1956, 25 pp.

1957.1 with J. Sherman, "The Multiple Use Concept in Cartography", The Professional Geographer, IX (1957), pp. 5-8.

1957.2 "An Empirical Evaluation of Hypsometric Colors" MA Thesis, University of Washington, Seattle, 1957 86 pp.

1959.1 "Automation and Cartography", The Geographical Review, XLIX, 4 (1959), pp. 526?534; Translated and reprinted in Geodeziya i Kartografiya, XXI, 3, (Moscow, 1962).

1959.2 "Maps of the USA", Monograph, Seattle, 1959, 32 pp.

1959.3 "Projection Pitfalls", Abstract, Annals, Assn. Am. Geographers, XL, p. 321.

1961.1"World Map on a Moebius Strip", Surveying and Mapping, XXI, 4 (1961), p. 486.

1961.2 "Map Transformations of Geographic Space", PhD Thesis, University of Washington, Seattle, 1961, 183 pp; University Microfilms No. 61 - 4011

1961.3 "Implications of recent Innovations in Cartography", Abstract, Annals, Assn. Am. Geographers, LI, 4 (1961), pp. 425-426; manuscript 8 pp.

1962.1 "Studies in the Geometry of Transportation", Army Transportation Research Command, Northwestern University, DA-44-177-TC-685, Evanston, 1962, 52 pp.

1962.2 "Maps and Mathematics", program No. 4, The Inquiring Mind, University of Michigan Television, 1962, 30 minutes.

1962.3 "A Classification of Map Projections", Annals, Assn. Am Geographers, LII, 2 (1962), pp 167-175.

1962.4 "Tissot's Indicatrix and Photogrammetry", Photogrammetric Engineering, XXVIII, 4 (1962), pp. 623-625.

1962.5 with N. Boukidis, D. Boyce, W. Garrison, "The Location of Transport Routes", Army Transportation Research Command, Northwestern University, DA-44-177-TC-685, Evanston, 1962.

1962.6 "The Polar Case of Hammer's Projection", The Professional Geographer, XIV, 2 (1962), pp. 20-22.

1962.7 "Map Projection Research by Digital Computer", Abstract, Annals, Assoc. Am. Geographers, LIII, 4 (1962), p. 625; unpublished manuscript, 27 pp.

1962.8 "Electronic Mapping", Proceedings, 1961 Conference, Am Institute of Planners; E. Horwood, ed., "Using Computer Graphics in Urban Renewal", HHFA, Washington DC, 1962.

1963.1 "Geographic Area and Map Projections", The Geographical Review, LIII, l (1963), pp. 59-78; reprinted in B. Berry and D. Marble, eds., Spatial Analysis, Prentice Hall, 1968, pp. 78-90; translated as "Geographischer Raum und Kartenprojektionen" (without mathematical appendix), pp. 262-277 of D.Bartels, ed., Wirtschafts und Sozialgeographie, Koln, Kiepenheurund Witsch, 1970. Reprinted in S. Angell & G. Hyman, Urban Fields, Pion, London, 1976.

1963.2 "D'Arcy Thompson and the Analysis of Growth and Form", 1962 Papers, Michigan Academy of Science, Arts, and Literature, XLVIII (1963), pp. 385-390.

1963.3 "Map Projection Study Model Guide", T. Hubbard Scientific Co., Northbrook, IL, 1963, 8 pp.

1963.4 "Geographic Ordering of Information", The Canadian Geographer, II, 4 (1963), pp. 203-205.

1964.1 "A Polynomial Representation of Michigan Population"' 1963 Papers, Michigan Academy of Science, Arts, and Literature, XLIX (1964), pp. 445-452.

1964.2 "An Experiment in the Computer Generalization of Maps", ONR Report, Task 389-137, University of Michigan, 1964, 38 pp.

1964.3 "Some new Equal Area Map Projections", Empire Survey Review, XVII, 131 (1964), pp. 240-243.

1964.4 "A Comparison of Spherical and Ellipsoidal Values", The Professional Geographer, XVI, 4 (1964), pp. 9-12.

1964.5 with B. Berry & R. Morrill, "Geographical Ordering of Information: New Opportunities", The Professional Geographer, XVI, 4 (1964), pp. 39-43.

1964.6 "Map Reading Model Study Guide", T. Hubbards Scientific Co., Northbrook, IL, 1964, 8 pp.

1964.7 "Geographical Coordinate Computations, I: General Considerations", ONR Task 389-137, University of Michigan, 1964, 34pp.

1964.8 "Geographical Coordinate Computations, II: Finite Map Projection Distortions", Office of Naval Research Contract ONR 1224 (48), Task No. 389-137, Technical Report No. 3, University of Michigan, 1964, 35 pp.

1964.9 "Illustrations of Map Projection Distortions", Abstracts of Papers, 10th International Geographical Congress, London, 1964, p. 35.

1965.1 "Automation in the preparation of thematic maps", The Cartographic Journal, June, 1965, pp. 1-7; also published as "L'Automation dans la preparation des cartes thematiques", International Yearbook of Cartography, Vol. 6, pp. 81-93.

1965.2 "Computation of the Correspondence of Geographical Patterns", 1964 Papers, Regional Science Association, 15 (1965), pp. 131-139.

1965.3 "Medieval Distortions: The Projections of Ancient Maps", Annals, Assoc. Am. Geographers, 56, 2 (1965), pp. 351-360.

1966.1 "Spectral Analysis of Spatial Series", Proceedings, Fourth Annual Conference on Urban Planning Information Systems, Berkeley, 1966, pp. 179-186.

1966.2 "Notes on Two Projections: Loximuthal and Two-Point Equidistant", The Cartographic Journal, Dec 1966: 87-89.

1967.1 "Of Maps and Matrices", Journal of Regional Science, 7 (supplement), 1967, pp. 275-280.

1967.2 "Evidence for Central Place Theory in the Nile Delta", pp. 28-29 of "Earth Resource Surveys from Spacecraft", US Army Corps of Engineers Earth Resources Survey Program, Vol I, NASA Washington DC, 1967.

1967.3 "Computer Use in Geography", Behavioral Science, 12, 1 (1967), pp 57-58.

1967.4 Introduction to R. Kao, "Geometric Projections in System Studies", p. 243 of W. Garrison & D. Marble, eds., Quantitative Geography, II, Northwestern University, Evanston 1967.

1968.1 "Problems and Prospects in Geographical Photointerpretation" pp. 267-274 of Cheng, Ledley, Pollock, & Rosenfeld, eds., Pictorial Pattern Recognition, Proceedings, Symposium on Automatic Photointerpretation, Washington DC, Thompson, 1968.

1968.2 “A Digital terrain Library”, University of Michigan, March 1968, US Army Research Office Technical Report, DA-31-124-ARO-D-456 No. 08005-1-T, 23 pp.

1969.1 "Satellite Confirmation of Settlement Size Coefficients", Area, I (1969), pp. 30-34.

1969.2 "The Spectrum of U.S. 40", Papers, Regional Science Association, XXIII (1969), pp. 45-52.

1969.3 "Geographical Filters and their Inverses", Geographical Analysis, I, 3 (1969), pp. 234-53.

1969.4 Review of J. Bertin, “Semiologie Graphique” (Gauthier-Villars, Paris, 1967), J. Am. Stat. Assn., 64, 325 (1969), pp. 391-392.

1969.5 “Analysis of a Digitized Surface”, pp. 59-83 of C. Davis A Study of the Land Type, Army Research Office Contract DA-31-124-ARO-D-456 No. 08055-2-F, Durham, NC, 1969.

1970.1 “A Computer Movie Simulating Urban Growth in the Detroit Region”, Economic Geography, 46, 2 (1970), pp. 234-240. (The ‘first law of geography’ is at the bottom of page 236)

1970.2 “Selected Computer Programs”, Michigan Geographical Publication No. 1, Ann Arbor, 1970, 162 pp; reprinted 1973.

1970.3 “Geobotanical Distance Between New Zealand and Neighboring Islands”, BioScience, 20,9 (1970), 537-542.

1970.4 Review of J. Forrester, "Urban Dynamics", Geographical Analysis, II, 2 (1979), pp 198-199.

1971.1 with S. Wineberg, "A Cappadocian Speculation", Nature, 231, 5297 (7 May 1971), pp. 39-42.

1971.2 with L. Glass, "Uniform Distribution of Objects in a Homogeneous Field: Cities on a Plain", Nature, 233 (3 Sept 1971), pp. 67- 68.

1971.3 with B. Barton, "Spectral Analysis of Innovation Diffusion", Geographical Analysis, III: 183-199, 1971

1971.4 "Keynote address: Data Display and Presentation", pp 128-137 of R. Tomlinson, ed., Environment Information Systems, International Geographical Union, Ottawa, 1971

1972.1 "Lambert's Notes on Maps, 1772", Introduced and translated, Michigan Geographical Publication No. 8, Ann Arbor, 1972, 125pp.

1972.2 with H. Moellering, "Geographical Variances", Geographical Analysis, IV, l (1972), pp. 34-50.

1972.3 Review of J. Rayner, "An Introduction to Spectral Analysis" (London, Pion Press, 1971), Geographical Analysis, 1972

1972.4 "Spatial Diffusion from a Geographer's Point of View", pp. 78-79 of W. Benninghoff & R. Edwards, eds., U.S. International Biological Program Aerobiology Handbook No. 2, Ann Arbor, 1972.

1973.1 "Regional Analysis: Time Series Extended to Two Dimensions", Geographica Polonica, 25 (1973), pp. 103-106.

1973.2 "The Hyperelliptical and other new Pseudo-Cylindrical Equal Area Map Projections", Journal of Geophysical Research, 78, 11, (1973), pp. 1753-1759.

1973.3 "A Continuous Transformation Useful for Districting", Annals, New York Academy of Sciences, 219 (1973), pp. 215-220.

1973.4 "Choropleth Maps without Class Intervals?", Geographical Analysis, V, 3 (1973), pp. 262-265.

1974.1 "Local Map Projections", The American Cartographer, I (1974), pp. 51-62.

1974.2 "A Computer Program to Draw Perspective Views of Geographical Data", The American Cartographer, I, 2 (1974), p. 124, 190.

1974.3 Review of D. Maling, "Coordinate Systems and Map Projections" (G. Philip, London, 1973), Surveying and Mapping, 1974.

1975.1 "Linear Operators applied to Areal Data", pp. 14-37 of J. Davis and M. McCullagh, Display and Analysis of Spatial Data, J. Wiley, N. Y., 1975.

1975.2 "A Preliminary Analysis of the Spread of the Depression", Geographical Analysis, VII, 4 (Oct. 1975), pp. 427-434.

1975.3 "Mathematical Map Models", Proceedings, International Symposium on Computer Aided Cartography, Reston, Am. Congress on Surveying and Mapping, 1975; pp. 66-73.

1975.4 "Spatial Interaction: Extracting Meaning from Masses of Data", pp. 37-40 of E. Swain., ed., The IIASA Project on Urban and Regional Systems, Laxenburg, IIASA, 1975.

1976.1 "The Geometry of Mental Maps", in R. Golledge and G. Rushton, eds., Essays on the Multidimensional Analysis of Perceptions and Preferences, Columbus, Ohio State University Press, 1976; pp. 69-81.

1976.2 "Analytical Cartography", The American Cartographer, 3 (1976): 21-31. Translated, reprinted, in Kartografiya (Moscow), 2 (1983): 82-91.

1976.3 "The Status of Mathematical Social Science", NSF Report, Mathematical Social Science Board, Ann Arbor, 1976, 110 pages.

1976.3 "Spatial Interaction Patterns", J. of Environmental Systems, VI (4) 1976/77; pp. 271-301.

1977.1 "Numerical Approaches to Map Projections", in I. Kretschmer, ed., Studies in Theoretical Cartography, Vienna, Deuticke, 1977; pp. 51-64.

1977.2 "Forecasting Geographical Migration", Report of the Conference on Economic and Demographic Methods for Projecting Population, Washington, Am. Stat. Assn., 1977; pp. 77-87.

1978.1 "Data Structures for Cartographic Analysis and Display", Proceedings, Computer Science and Statistics: Eleventh Annual Symposium on the Interface, Raleigh, N. Carolina State Univ. Institute of Statistics, 1978; p. 134-140.

1978.2 with J. Lau, "Isopleth Mapping using Histosplines", Geographical Analysis, X, 3 (July) 1978; pp. 273-279.

1978.3 "Comparison of Plane Forms", Geographical Analysis, X, 2 (Apr) 1978; pp. 154-172.

1978.4 "Migration Fields", in W. Clark and E. Moore, eds., Population Mobility and Residential Change, Studies in Geography No. 25, Evanston, Department of Geography, 1978; pp. 215-232.

1978.5 "Comparing Figures by Regression", Computer Graphics, 12, 3 (Aug) 1978; 193-195.

1978.6 "An Equal Area Map on Mercator's Projection", The American Cartographer, 5, 2 (1978), pp. 149-154.

1978.7 Introduction to H. Hotelling, "A mathematical Theory of Migration", Environment and Planning, A, 10, (1978), pp 1223-1224.

1979.1 "A Transformational View of Cartography", The American Cartographer, VI, 2 (1979); 101-106.

1979.2 with J. Lau, "Image Interpolation using Histosplines", Comp. Graphics and Image Proc., 9 (Jan) 1979; pp. 77-81.

1979.3 "Lattice Tuning", Geographical Analysis, XI, l, (Jan) 1979; pp. 36-44.

1979.4 "Cellular Geography", in S. Gale, G. Olsson, eds., Philosophy in Geography, Riedel, Dortrecht, 1979, pp. 379-386.

1979.5 "A Geographical Migration Probability Density Function", Ontario Geography, 1979, pp. 41-46.

1979.6 "Smooth Pycnophylactic Interpolation for Geographical Regions", J. Am. Stat. Assn., 74, 367 (Sept) 1979, pp. 519-536.

1979.7 "Estimation of Attractivities from Interactions", Environment and Planning A, 11, 1979, pp. 121-127.

1979.8 "Cartograms and Cartosplines", Proceedings, 1976 Workshop on Automated Cartography and Epidemiology, Washington, D.C., Department of Health, Education and Welfare, 1979, pp. 53-58.

1980.1 "Statistical Cartography: What is it?", Proceedings, Auto-Carto IV, I, pp. 77-81, Reston VA, 1980.

1981.1 "A Model of Geographic Movement", Geographical Analysis, 13 (1), 1981; 1-20.

1981.2 "Depicting Federal Fiscal Transfers", The Professional Geographer, 33(4), 1981; 419-422.

1982.1 "Surveying Multidimensional Measurement", in R.G. Golledge and J.N.Rayner eds., Proximity and Preference: Problems in the Multidimensional Analysis of Large Data Sets, University of Minnesota Press, 1982, pp. 3-9.

1982.2 "Cartographic Study of Movement Tables", Proceedings, National Computer Graphics Assn., Anaheim, 1982, 4 pp.

1983.1 with G. Dorigo, "Push-Pull Migration Laws", Annals, Assn. Am. Geographers, 73, 1 (1983); 1-17.

1983.2 with S. Kennedy, "Geographical Interpolation", Geographical Analysis 15, 2 (1983); 151-156.

1983.3 "An Alternate Formulation for Spatial Interaction Modeling", Environment and Planning, A, 15, 4 (1983).

1984.1 "Application of Image Processing Techniques to Map Processing", Proceedings, International Symposium on Spatial Data Handling, Zurich, IGU, 1984, pp. 140-144.

1984.2 with M. Petrich, "The Globular Projection Generalized", The American Cartographer, 11,2 (1984):101-105.

1984.3 with N. Gale, L. Hubert, R. Golledge, "Combinatorial Procedures for the Analysis of Alternative Models: An Example from Interregional Migration", Papers, Regional Science Assn, 53 (1984): 106-115.

1985.1 "The Morphology of Geographical Change", Ontario Geography, 25 (1985):75-83.

1985.2 "Derivation of a Spatially Continuous Transportation Model", Transportation Research (March 1985), 19A, 2: 169-172.

1985.3 with S. Kennedy, "Smooth Multidimensional Interpolation", Geographical Analysis, 17, 3 (July 1985), 251-257.

1986.1 "Pseudo-Cartograms", The American Cartographer, 13,1 (1986), 43-50.

1986.2 with R. Weleber, "Computerized Quantitative Analysis of Kinetic Visual Fields", Am. J. Ophthalmology, 101, (Apr. 1986), 461-468.

1986.3 "Polycylindric Map Projections", The Am. Cartographer, 13,2(1986), 117-120.

1986.4 "The Geographic Movement of Wealth in the United States", MappeMonde, I (1986),3: 37-40.

1986.5 with Z. Chen, "A Quadtree for Global Information Storage", Geographical Analysis, 18,4 (Oct 1986), 360-371.

1986.6 with Z. Chen, "Quadtree Representations of Digital Terrain", Proceedings, Auto Carto London, 1986, pp. 475-484. 1986.7 Review of C. Brandenberger, "Koordinatentransformationen fuer Digitale Kartographische Daten mit Lagrange- und Spline-Interpolation.", (Institute für Kartographie, ETH, Zurich, 1985, 189 pp. German with English Abstract); Elsevier, 1986.

1986.8 "Measuring the Similarity of Map Projections", The American Cartographer, Vol. 13, 2, 1986, pp. 135-139.

1987.1 "Experiments in Migration Mapping by Computer", The American Cartographer, 14, 2 (1987): 155-163.

1987.2 with H. Couclelis, R. Golledge, N. Gale, 1987, "Exploring the Anchor Point Hypothesis of Spatial Cognition", J. Env. Psych., 7:99-122.

1987.3 "Measuring Spatial Resolution", Proceedings, Land Resources Information Systems Conference, Beijing, 1987, pp. 12-16.

1987.4 "Alternatives in Movement Mapping", Proceedings, 13th International Cartographic Conference, Morelia, Mexico, 1987, pp. 345-350.

1988.1 "The Quadratic Transportation Problem as a Model of Spatial Interaction Patterns", pp. 75-88 of W. Coffey, ed., Geographical Systems and Systems of Geography: Essays in Honor of William Warntz, 1988, University of Western Ontario, London

1988.2 "Resolution, Resampling, and All That", pp. 129-137 of H. Mounsey and R. Tomlinson, eds., Building Data Bases for Global Science, London, Taylor and Francis, 1988.

1989.1 "Geographic Information Systems Research Agenda: The Scientific Community Perspective", Proceedings, International Geographic Information Systems Symposium, 1989, pp. I: 49-52, Goddard Space Center, NASA.

1989.2 "Spherical Quadrilateral to Map Scale Conversion", The American Cartographer, p. 54, 1989.

1989.3 “An Update to 'Numerical Map Generalization”, Cartographica 26 (1989), 1:7-25.

1989.4 with H. Veregin, "Prediction of Geographic Base File Size from Urban Area or Population", ICA Conference, Budapest, 1989.

1990.1 "Frame Independent Spatial Analysis", pp. 115-122 of M. Goodchild, ed., Accuracy of Spatial Data Bases, Taylor and Francis, London, 1990.

1990.2 forward to K. Clarke, Analytical and Computer Cartography, Prentice Hall, 1990.

1990.3 "GIS Transformations", Proceedings, National Computer Graphics Association Conference, Anaheim, 1990, Vol. I, pp.163-166

1991.1 "Visual Evidence for Urban Potential Fields", MappeMonde, IV, 1, 1991, pp. 46-47.

1991.2 with M. Kumler, "Three World Maps on a Moebius Strip", Cartography and Geographic Information Systems. 18(4): 275-276.

1992 "Preliminary Representation of World Population by Spherical Harmonics", Proceedings, National Academy of Sciences, 89: 6262-6264.

1993 "Movement Takes Time", Martin Beckmann Festschrift, J. Laksmanen and T. Puu, editors.

1994.1 "History of Cartography as taught at UCSB", pp 9-22 of F. Ormeling & Y. Bouma, eds., Seminar on Teaching of the History of Cartography, ICA Commissions on History of Cartography, Education and Training , University of Utrecht

1994.2 "Bidimensional Regression, Geographical Analysis, 26(July): 186-212.

1994.3 "Oblique Map Projections using Rotation Matrices", pp. 37-46 of H. Ernste, ed., Pathways to Human Ecology, Steiner Festschrift, Berne, P. Lang

1995.1 "The Resel Based GIS", International J. of Geographic Information Systems, 9,1:95-100.

1995.2 "Migration: Ravenstein, Thornthwaite, and Beyond", Urban Geography, 16,4:327-343

1996.1 "A Graphical Introduction to Survey Adjustment", Cartographica, pp 33-42.

1996.2 "Converting Administrative Data on a Sphere to a Continuous Surface", Proceedings, 3rd International Conference on Integrating Geographic Information Systems and Environmental Modeling, NCGIA (Santa Barbara), CD-ROM.

1997.1 "The Equidominance Line: A New Geopolitical Concept", Applied Geographical Studies, 1,1:7-11.

1997.2 "Movement Modeling on the Sphere", Geographical & Environmental Modeling, 1, 1: 97-103.

1997.3 "Introductory Comments on Information Theory & Cartography", Cartographic Perspectives, 27 (Spring): 4 – 7.

1997.4 "Demography in Global Change Studies", Proceedings, AutoCarto 13, Seattle, (April).

1997.5 "Alternatives to Miller's Projection", Cartography and GIS, (24, 2): 110-112.

1997.6 "World Population in a grid of Spherical Quadrangles", International J. of Population Geography, 3,3:203-225

1999, "Linear Pycnophylatic Reallocation" - Comment on a paper by D. Martin, Int. J. of Geographic Information Science, 13, 1:85-90 (+ unpublished revision)

2000, with Yang, Q., and Snyder, J.P, Map Projection Transformation: Principles and Applications, Taylor & Francis, London; Hard & Soft cover, 367 pp.

2000, “The Development of Analytical Cartography”, Cartography and Geographic Information Science, 27, 3 (July): 189-194

2001, “Spherical Measures without Spherical Trigonometry”, Solstice: An Electronic Journal of Geography and Mathematics, XII, 2 (Winter).

2002, “Ma Vie: Growing Up in America and Europe”, in Geographical Voices, W. Pitts and P. Gould, eds., University of Syracuse Press; Syracuse; pages 292-322. En Français: (2000) “Ma Vie: Grandir en Amerique et en Europe”, dans Memoires de Géographes, P. Gould et A. Bailly, eds., Anthropos, Paris, 209-242

2002, “Qibla, and Related, Map Projections”, Cartography and Geographical Information Science, 29(1): 17-23.

2002, “Global Spatial Analysis”, Editorial, Computers, Environment, and Urban Systems, 26: 493-500.

2004, "Thirty-five Years of Computer Cartograms", Annals, Assoc. Am. Geographers, March.