Gall Stereographic Projection
Nov 5,2025

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Introduction

Gall stereographic projection is a cylindrical projection that projects the Earth's surface from a point opposite the equator onto a cylindrical surface, with the standard parallel fixed at 45 degrees. Its characteristics are parallel straight lines and equal-length curves of longitude. The scale is accurate along the standard parallels and remains constant between parallels equidistant from the equator. While it is neither equal-area nor equidistant nor conformal, it balances the scale of mid-latitudes, avoiding excessive stretching at the poles or compression at the equator, while maintaining high shape fidelity.

Projection Basic

The Gall Stereographic Projection is a secant cylindrical projection that intersects Earth at two standard parallels (typically 45°N/S). It uses perspective projection from an equatorial point onto a cylinder, preserving true scale along these parallels.

  • Meridians: Straight, equally spaced lines.
  • Parallels: Straight, evenly spaced lines (spacing increases away from the equator).
  • Distortion: Minimal at 45°N/S; increases toward poles.
  • Use Case: World maps prioritizing balanced mid-latitude representation (e.g., British atlases).

Pros

  1. High fidelity in mid-latitude regions: Minimal distortion in shape, area, and scale near standard parallels (e.g., 45°N/S), making it ideal for displaying geographic information in mid-latitude areas (e.g., Europe, North America, China).
  2. Balanced global distortion: Compared to other cylindrical projections (e.g., Mercator), it offers milder stretching at the poles and compression at the equator, resulting in more visually proportional global maps.
  3. Intuitive and easy to read: Straight, perpendicular meridians and parallels align with human perception, facilitating direction judgment and distance estimation.
  4. Historical and practical value: Widely used in British atlases, it remains suitable for educational purposes, world maps, and general reference applications.

Cons

  1. Significant distortion at high latitudes: Severe shape and area distortion near the poles (e.g., Greenland appears overly large), limiting its use for polar research or high-latitude navigation.
  2. Neither equal-area nor conformal: Fails to preserve both area and angle simultaneously, restricting its utility in precise measurements (e.g., land planning) or navigation (e.g., maritime charts).
  3. Limited versatility: Less adaptable than specialized projections (e.g., Lambert Conformal Conic for aviation, Albers Equal-Area for statistics) for targeted applications.
  4. Competition from modern alternatives: The rise of digital mapping and dynamic projections (e.g., adaptive Mercator) partially addresses its fixed-perspective limitations.

Application Scenario

The Gall Stereographic Projection is particularly well-suited for thematic map visualizations requiring global, equal-area attributes. Its core advantage lies in its ability to accurately maintain the proportional relationship between all regions, avoiding over-exaggeration of high-latitude areas (such as Greenland and Russia). This makes it ideal for presenting area-based data such as population distribution, resource reserves, and climate change indicators. It is widely used in social science research, education, and global comparative analysis of environmental policies, providing a geographic reference for objective spatial data comparisons.

Example

1. Gall stereographic projection of the world. 15° graticule.


2. Gall stereographic projection with 1,000 km indicatrices of distortion.

Related GIS Projections

Mercator Projection

Transverse Mercator Projection

Wagner Projection

Longitude / Latitude Projection

References

  1. https://en.wikipedia.org/wiki/Gall_stereographic_projection
  2. https://pro.arcgis.com/en/pro-app/latest/help/mapping/properties/gall-stereographic.htm
  3. https://www.mapthematics.com/ProjectionsList.php?Projection=24