Shapes on a plane: evaluating the impact of projection distortion on spatial binning

Cartography and Geographic Information Science

Volumn 44, Issue 5, 2017, Pages 410-421

  Battersby, Sarah E ^a   Strebe, Daniel daan ^a   Finn, Michael P ^b  

^a Tableau Software   (United States)

^b DENVER FEDERAL CENTER   (United States)

Author keywords

mapprojections; Spatial binning; visual analysis

Indexed keywords

AGGREGATES; MAPPING;

AGGREGATE MEASURES; DENSITY MEASURES; GEOGRAPHIC DATA; MAP PROJECTION; MAPPROJECTIONS; POLITICAL BOUNDARIES; SPATIAL BINNING; VISUAL ANALYSIS;

BINS;

CARTOGRAPHY; DATA PROCESSING; DATA SET; MAPPING; POLYGON; SPATIAL ANALYSIS; SPATIAL DATA; VISUAL ANALYSIS;

EID: 84966762980     PISSN: 15230406     EISSN: 15450465     Source Type: Journal    
DOI: 10.1080/15230406.2016.1180263     Document Type: Article

References (52)

1. Anderson, K. C., and G., Leinhardt. 2002. “Maps as Representations:Expert Novice Comparison of Projection Understanding.” Cognition and Instruction 20 (3):283–321. doi:10.1207/S1532690XCI2003_1.
2. Anselin, L., 1988. Spatial Econometrics:Methods and Models. Dordrecht:Kluwer Academic.
3. Baird, J. C., and E., Noma. 1978. Fundamentals of Scaling and Psychophysics. New York:Wiley.
4. Battersby, S. E., 2009. “The Effect of Global-Scale Map Projection Knowledge on Perceived Land Area.” Cartographica 44 (1):33–44. doi:10.3138/carto.44.1.33.
5. Berry, B. J. L., 1962. Sampling, Coding, and Storing Flood Plain Data. Washington:Farm Economics Division, Economic Research Service, U.S. Dept. of Agriculture.
6. Berry, B. J. L., and A. M., Baker. 1968. “Geographic Sampling.” In Spatial Analysis, edited by B. J. L., Berry and D. F., Marble, 91–100. Englewood Cliffs, NJ:Prentice Hall.
7. Birch, C. P. D., S. P., Oom, and J., Beecham. 2007. “Rectangular and Hexagonal Grids Used for Observation, Experiment and Simulation in Ecology.” Ecological Modelling 206 (3–4):347–359. doi:10.1016/j.ecolmodel.2007.03.041.
8. Bostock, M., V., Ogievetsky, and J., Heer. 2011. “D³ Data-Driven Documents.” IEEE Transactions on Visualization and Computer Graphics 17:2301–2309. doi:10.1109/TVCG.2011.185.
9. Briney, A., 2014. “Binning in GIS.” GISLounge, August 21. Accessed 3 March 2016. http://www.gislounge.com/binning-gis/.
10. Carr, D. B., 1990. “Looking at Large Data Sets Using Binned Data Plots.” Report no. PNL-7301. Richland, WA:Pacific Northwest Lab. doi:10.2172/6930282.
11. Carr, D., 2015. “Package ‘Hexbin’.” Accessed 3 March 2016. http://github.com/edzer/hexbin.
12. Carr, D. B., R., Kahn, K., Sahr, and T., Olsen. 1997. “ISEA Discrete Global Grids.” Statistical Computing and Graphics Newsletter 8 (2–3):31–39. http://stat-computing.org/newsletter/issues/scgn-08-2.pdf
13. Carr, D. B., R. J., Littlefield, W. L., Nicholson, and J. S., Littlefield. 1987. “Scatterplot Matrix Techniques for Large N.” Journal of the American Statistical Association 82 (398):424–436. doi:10.1080/01621459.1987.10478445.
14. Carr, D. B., A. R., Olsen, and D., White. 1992. “Hexagon Mosaic Maps for Display of Univariate and Bivariate Geographical Data.” Cartography and Geographic Information Science 19 (4):228–236. http://www.tandfonline.com/doi/abs/10.1559/152304092783721231.
15. cartoDB. n.d. “The Power of CartoDB:Grid Visualization Functions.” Accessed 3 March 2016. http://docs.cartodb.com/tips-and-tricks.html.
16. Chambers, J. M., W. S., Cleveland, B., Kleiner, and P. A., Tukey. 1983. Graphical Methods for Data Analysis. Belmont, CA:Wadsworth International Group.
17. Data Team. 2015. “My Castle Costs More Than Yours.” The Economist, July 8. Accessed 3 March 2016. http://www.economist.com/blogs/graphicdetail/2015/07/daily-chart-4?fsrc=scn/tw/te/pe/ed/mycastle.
18. DeBelius, D., 2015. “Let’s Tesselate:Hexagons for Tile Grid Maps.” NPR Visual Team, May 11. Accessed 3 March 2016. http://blog.apps.npr.org/2015/05/11/hex-tile-maps.html.
19. Elsner, J. B., R. E., Hodges, and T. H., Jagger. 2012. “Spatial Grids for Hurricane Climate Research.” Climate Dynamics 39 (1–2):21–36. doi:10.1007/s00382-011-1066-5.
20. Field, K., 2012. “Using a Binning Technique for Point-Based Multiscale Web Maps.” ArcGIS Blog, June 8. Accessed 3 March 2016. http://blogs.esri.com/esri/arcgis/2012/06/08/using-a-binning-technique-for-point-based-multiscale-web-maps/.
21. Field, K., 2015. “Death in the Grand Canyon:The Complete and Comprehensive History of Grand Canyon Misadventures–Mapped in 3D.” Accessed 3 March 2016. http://www.arcgis.com/apps/StorytellingTextLegend/index.html?appid=0d41baefd133497db0a10018af579b5a.
22. Fotheringham, A. S., and D. W. S., Wong. 1991. “The Modifiable Areal Unit Problem in Multivariate Statistical Analysis.” Environment and Planning A 23:1025–1044. doi:10.1068/a231025.
23. Graser, A., 2012. “Mapping Density with Hexagonal Grids.” Accessed 3 March 2016. http://anitagraser.com/2012/03/04/mapping-density-with-hexagonal-grids/.
24. Grasland, C., and M., Madelin. 2006. “The Modifiable Areas Unit Problem.” ESPON Scientific Support Project 3.4.3, Final Report. http://www.espon.eu/main/Menu_Projects/Menu_ESPON2006Projects/Menu_StudiesScientificSupportProjects/maup.html
25. Hoffmann, M., C., Hilton-Taylor, A., Angulo, M., Böhm, T. M., Brooks, S. H. M., Butchart, K. E., Carpenter, et al. 2010. “The Impact of Conservation on the Status of the World’s Vertebrates.” Science 330 (6010):1503–1509. doi:10.1126/science.1194442.
26. Kimerling, J. A., K., Sahr, D., White, and L., Song. 1999. “Comparing Geometrical Properties of Global Grids.” Cartography and Geographic Information Science 26 (4):271–288. doi:10.1559/152304099782294186.
27. Lounsbury, J. F., L. M., Sommers, and E. A., Fernald. 1981. Land Use:A Spatial Approach. Dubuque, IA:Kendall/Hunt.
28. MacEachren, A. M., and D., DiBiase. 1991. “Animated Maps of Aggregate Data:Conceptual and Practical Problems.” Cartography and Geographic Information Science 18 (4):221–229. http://www.tandfonline.com/doi/abs/10.1559/152304091783786790.
29. Maling, D. H., 1988. Measurements from Maps:Principles and Methods of Cartometry. Oxford:Pergamon Press.
30. Mulcahy, K. A., 2000. “Two New Metrics for Evaluating Pixel-Based Change in Data Sets of Global Extent Due to Projection Transformation.” Cartographica 37:1–12. doi:10.3138/C157-258R-2202-5835.
31. Nelson, J., 2013 “A Hack for Scaling Your Hex Map.” UX Blog, July 2. Accessed 3 March 2016. http://uxblog.idvsolutions.com/2013/07/a-hack-for-scaling-your-hex-map.html.
32. O’Sullivan, D., 2015. “Book Review:Exploring Spatial Scale in Geography.” International Journal of Geographical Information Science 29 (10):1932–1933. doi:10.1080/13658816.2015.1053890.
33. Openshaw, S., and P. J., Taylor. 1979. “A Million or so Correlation Coefficients:Three Experiments on the Modifiable Areal Unit Problem.” In Statistical Applications in the Spatial Sciences, edited by N., Wrigley, 127–144. London:Pion.
34. Robinson, A., R., Sale, and J., Morrison. 1978. Elements of Cartography. 4th ed. New York:Wiley.
35. Rosenfeld, A., and A. C., Kak. 1982. Digital Picture Processing. Vol. 1, 2nd ed. Orlando, FL:Academic Press.
36. Sahr, K., D., White, and A. J., Kimerling. 2003. “Geodesic Discrete Global Grid Systems.” Cartography and Geographic Information Science 30 (2):121–134. doi:10.1559/152304003100011090.
37. Schipper, J., J. S., Chanson, F., Chiozza, N. A., Cox, M., Hoffmann, V., Katariya, J., Lamoreaux, et al. 2008. “The Status of the World’s Land and Marine Mammals:Diversity, Threat, and Knowledge.” Science 322 (5899):225–230. doi:10.1126/science.1165115.
38. Scott, D. W., 1988. “A Note on Choice of Bivariate Histogram Bin Shapes.” Journal of Open Statistics 4 (1):47–51. http://www.jos.nu/Articles/abstract.asp?article=4147.
39. Shook, E., K., Leetaru, G., Cao, A., Padmanabhan, and S., Wang. 2012. “Happy or Not:Generating Topic-Based Emotional Heatmaps for Culturomics Using Cybergis.” In 8th International Conference on E-Science, E-Science 2012. doi:10.1109/eScience.2012.6404440.
40. Slocum, T. A., R. B., McMaster, F. C., Kessler, and H. H., Howard. 2009. Thematic Cartography and Geovisualization. 3rd ed. Upper Saddle River, NJ:Prentice Hall.
41. Smith, N., 2012. “Binning:An Alternative to Point Maps.” Mapbox, May 25. Accessed 3 March 2016. https://www.mapbox.com/blog/binning-alternative-point-maps/.
42. Snyder, J. P., 1987. Map Projections:A Working Manual. Professional Paper 1395. Reston, VA:U.S. Geological Survey. https://pubs.er.usgs.gov/publication/pp1395.
43. SPSS. n.d. “Bin.Hex Function (GPL).” Accessed 3 March 2016. http://www-01.ibm.com/support/knowledgecenter/SSLVMB_20.0.0/com.ibm.spss.statistics.help/gpl_function_bin_hex.htm.
44. Steinwand, D. R., J. A., Hutchinson, and J. P., Snyder. 1995. “Map Projections for Global and Continental Data Sets and an Analysis of Pixel Distortion Caused by Reprojection.” Photogrammetric Engineering & Remote Sensing 61:1487–1497.
45. Strassburg, B. B. N., A., Kelly, A., Balmford, R. G., Davies, H. K., Gibbs, A., Lovett, L., Miles, et al. 2010. “Global Congruence of Carbon Storage and Biodiversity in Terrestrial Ecosystems.” Conservation Letters 3 (2):98–105. doi:10.1111/j.1755-263X.2009.00092.x.
46. Usery, E. L., M. P., Finn, J. D., Cox, T., Beard, S., Ruhl, and M., Bearden. 2003. “Projecting Global Datasets to Achieve Equal Areas.” Cartography and Geographic Information Science 30 (1):69–79. doi:10.1559/152304003100010956.
47. White, D., 2006. “Display of Pixel Loss and Replication in Reprojecting Raster Data from the Sinusoidal Projection.” Geocarto International 21 (2):19–22. doi:10.1080/10106040608542379.
48. White, D., J. A., Kimerling, and S. W., Overton. 1992. “Cartographic and Geometric Components of a Global Sampling Design for Environmental Monitoring.” Cartography and Geographic Information Science 19 (1):5–22. http://www.tandfonline.com/doi/abs/10.1559/152304092783786636.
49. White, D., A. J., Kimerling, K., Sahr, and L., Song. 1998. “Comparing Area and Shape Distortion on Polyhedral-Based Recursive Partitions of the Sphere.” International Journal of Geographical Information Science 12 (8):805–827. doi:10.1080/136588198241518.
50. Wicklin, R., 2014. “How to Create a Hexagonal Bin Plot in SAS.” The Do Loop, September 2. Accessed 3 March 2016. http://blogs.sas.com/content/iml/2014/09/02/hexagonal-bin-plot.html.
51. Wilkinson, L., 2005. The Grammar of Graphics. New York:Springer.
52. Wilkinson, L., and M., Friendly. 2009. “The History of the Cluster Heat Map.” The American Statistician 63 (2):179–184. doi:10.1198/tas.2009.0033.