GIS

Projection

A mathematical transformation that represents the curved surface of the earth on a flat map, with different projections preserving different properties.

Detailed Definition

A map projection is a systematic mathematical transformation that converts locations from the curved surface of the Earth onto a flat (planar) surface for mapping, analysis, and visualization. All projections introduce some form of distortion.

  • Area: The relative sizes of features (equal-area projections preserve area)
  • Shape: The form of features (conformal projections preserve shape locally)
  • Distance: Measurements between points (equidistant projections preserve distance from certain points)
  • Direction: Angular relationships (azimuthal projections preserve direction from a central point)

Common projections in mining and land management

UTM (Universal Transverse Mercator): - Conformal (preserves shape) - Earth divided into 60 zones, each 6 degrees wide - Widely used for topographic mapping and engineering - Good for areas within a single UTM zone

State Plane Coordinate System: - Conformal with minimal distortion - Designed for accurate measurements within each state or zone - Used by surveyors, engineers, and state agencies - Multiple zones per state (based on state geometry)

Albers Equal-Area Conic: - Preserves area (useful for thematic maps) - Used by USGS for maps of the conterminous US - Good for east-west oriented regions

Web Mercator: - Used by web mapping platforms (Google Maps, Bing, OpenStreetMap) - Severely distorts area at high latitudes - Not suitable for area measurements

Selecting a projection: - For mining site engineering: UTM or State Plane - For claim area calculations: Equal-area projection - For web display: Web Mercator - For national-scale maps: Albers Equal-Area or Lambert Conformal Conic