Please use this identifier to cite or link to this item: https://doi.org/10.1073/pnas.0400280101
Title: Diffusion-based method for producing density-equalizing maps
Authors: Gastner, MT 
Newman, MEJ
Keywords: Science & Technology
Multidisciplinary Sciences
Science & Technology - Other Topics
TRANSFORMATIONS
CARTOGRAMS
AREA
Issue Date: 18-May-2004
Publisher: NATL ACAD SCIENCES
Citation: Gastner, MT, Newman, MEJ (2004-05-18). Diffusion-based method for producing density-equalizing maps. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 101 (20) : 7499-7504. ScholarBank@NUS Repository. https://doi.org/10.1073/pnas.0400280101
Abstract: Map makers have for many years searched for a way to construct cartograms, maps in which the sizes of geographic regions such as countries or provinces appear in proportion to their population or some other analogous property. Such maps are invaluable for the representation of census results, election returns, disease incidence, and many other kinds of human data. Unfortunately, to scale regions and still have them fit together, one is normally forced to distort the regions' shapes, potentially resulting in maps that are difficult to read. Many methods for making cartograms have been proposed, some of them are extremely complex, but all suffer either from this lack of readability or from other pathologies, like overlapping regions or strong dependence on the choice of coordinate axes. Here, we present a technique based on ideas borrowed from elementary physics that suffers none of these drawbacks. Our method is conceptually simple and produces useful, elegant, and easily readable maps. We illustrate the method with applications to the results of the 2000 U.S. presidential election, lung cancer cases in the State of New York, and the geographical distribution of stories appearing in the news.
Source Title: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
URI: https://scholarbank.nus.edu.sg/handle/10635/169670
ISSN: 00278424
10916490
DOI: 10.1073/pnas.0400280101
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