# Tobler cylindrical I

## Description

The Tobler cylindrical I projection is a compromise cylindrical map projection. It was developed and introduced by Waldo Tobler in 1997 as his first simpler alternative to the Miller cylindrical projection. As is the case with the Miller projection, distortion is severe at the poles. This projection is a bit smaller than the Miller projection, but they are almost identical between 45° north and south latitudes.

The Tobler cylindrical I projection is available in ArcGIS Pro 2.5 and later and in ArcGIS Desktop 10.8 and later.

## Projection properties

The subsections below describe the Tobler cylindrical I projection properties.

### Graticule

The Tobler cylindrical I projection is cylindric. The meridians are equally spaced straight lines. Parallels and both poles are straight lines, perpendicular to meridians and the same length as the equator. The spacing between parallels perceptually grows from equator to poles. The graticule is symmetric across the equator and the central meridian. The height-to-width ratio of the whole map is 0.71, slightly less than the Miller cylindrical projection.

### Distortion

This projection is neither conformal nor equal-area. Shapes, areas, distances, directions, and angles are all generally distorted. Distortions are minimal in equatorial areas and become severe in polar areas. Distortion values are symmetric across the equator and the central meridian.

## Usage

This projection can be used for general world maps not requiring accurate areas, and whose phenomena change with longitude. But its use is not recommended due to extreme distortion in polar regions.

## Limitations

This projection is supported on spheres only. For an ellipsoid, the semimajor axis is used for the radius.

## Parameters

Tobler cylindrical I parameters are as follows:

• False Easting
• False Northing
• Central Meridian

## Sources

Tobler, W. (1997). "Alternatives to Miller's projection." Cartography and Geographic Information Science, 24 (2), p. 110-112. DOI:10. 1559/152304097782439358