Equal-area projection

In cartography, an equal-area projection, also known as equivalent projection and authalic projection, is a map projection that preserves area measure, generally distorting shapes in order to do that. A conformal map projection cannot be equal-area and vice versa.

"Area-preserving maps" redirects here. For the mathematical concept, see Measure-preserving dynamical system.

Several equivalent projections were developed in an attempt to minimize the distortion of countries and continents of planet Earth, keeping the area constant. Equivalent projections are widely used for thematic maps showing scenario distribution such as population, farmland distribution, forested areas, etc.

Description

Equal area representation implies that a region of interest in a particular portion of the map will share the same proportion of area as in any other part of the map.

Statistical grid

The term "statistical grid" refers to a discrete grid (global or local) of an equal-area surface representation, used for data visualization, geocode and statistical spatial analysis.[1][2][3][4][5]

List of equal-area projections
Lambert cylindrical equal-area projection of the world
Cylindrical equal-area projection with oblique orientation
The equal-area Mollweide projection
Equal Earth projection, an equal-area pseudocylindrical projection

These are some projections that preserve area:

See also

References
  1. "INSPIRE helpdesk | INSPIRE".
  2. http://scorus.org/wp-content/uploads/2012/10/2010JurmalaP4.5.pdf
  3. IBGE (2016), “Grade Estatística”. Arquivo grade_estatistica.pdf em FTP ou HTTP, http://geoftp.ibge.gov.br/recortes_para_fins_estatisticos/grade_estatistica/censo_2010
  4. Tsoulos, Lysandros (2003). "An Equal Area Projection for Statistical Mapping in the EU". In Annoni, Alessandro; Luzet, Claude; Gubler, Erich (eds.). Map projections for Europe. Joint Research Centre, European Commission. pp. 50–55.
  5. Brodzik, Mary J.; Billingsley, Brendan; Haran, Terry; Raup, Bruce; Savoie, Matthew H. (2012-03-13). "EASE-Grid 2.0: Incremental but Significant Improvements for Earth-Gridded Data Sets". ISPRS International Journal of Geo-Information. MDPI AG. 1 (1): 32–45. doi:10.3390/ijgi1010032. ISSN 2220-9964.
  6. "McBryde-Thomas Flat-Polar Quartic Projection - MATLAB".
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