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Map projection errors in the Weber problem

Author

Listed:
  • Yoshiaki Ohsawa

    (Institute of Policy and Planning Sciences, University of Tsukuba, Tsukuba 305-8573, Japan (e-mail: osawa@sk.tsukuba.ac.jp; koshizuk@sk.tsukuba.ac.jp))

  • Hirofumi Kagaya

    (Tokyo Metropolitan Government, Tokyo, Japan)

  • Takeshi Koshizuka

    (Institute of Policy and Planning Sciences, University of Tsukuba, Tsukuba 305-8573, Japan (e-mail: osawa@sk.tsukuba.ac.jp; koshizuk@sk.tsukuba.ac.jp))

Abstract

. When demand points are given as a planar map where projection method is explicitly stated, we usually know the latitudes and longitudes of these points from the map. Then we can solve the Weber problem on the globe, and we do not suffer from errors. This paper analyses how cylindrical projections cause distortion in the Weber problem when demands are distributed on the Northern Hemisphere. First, we demonstrate that planar solutions are always located south of the spherical solution if the Mercator projection, the equirectangular projections with standard parallels near the demands, or the equal-area projection with the same characteristic is chosen. Second, we verify that this geographical tendency is inclined to hold when the demand points, are distributed symmetrically, widely or toward the north.

Suggested Citation

  • Yoshiaki Ohsawa & Hirofumi Kagaya & Takeshi Koshizuka, 2002. "Map projection errors in the Weber problem," Journal of Geographical Systems, Springer, vol. 4(3), pages 325-342, October.
    • Handle: RePEc:kap:jgeosy:v:4:y:2002:i:3:d:10.1007_s101090200087
    DOI: 10.1007/s101090200087
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