However, when strict adherence to the equal area property is not required, a compromise projection often shows the shapes of continents with a more pleasant appearance than equal-area projections (Canters 2002).

Tobler (1973) has applied this technique to create various equal-area projections.

A conformal approach eliminates angle distortion in the graticule everywhere--something that is not possible in an equal-area projection.

In his modified Lambert azimuthal equal-area projection for polyhedral globes, Snyder (1992) corrects Fisher's approach for discontinuities between non-congruent adjacent faces.

Since a primary concern was the tabulation of areas of various thematic classes of the Earth's surface for statistical analyses, we selected equal-area projections as a focus but included two compromise (nonequal-area, nonconformal) projections, the Robinson and the Van der Grinten II.

Table 4 shows that for the equal-area projections the mapimg software transformations result in an accuracy range from 45.

With Lambert's azimuthal equal-area projection this requirement can be met with ease.

Gringorten also described an equal-area projection that he called "polar" (Gringorten 1973).

This scale is also used to compute the number of rows in the cylindrical equal-area projection from:

The cylindrical equal-area projection resampling analysis begins at the upper left column and row of the projection surface (-2160, 0), with the latitude and longitude of this pixel computed from Equations 1-5 in Figure 3.

The Lambert azimuthal equal-area projection is less dramatic in exposing the angular distortion that results from maintaining the equal-area property.

Maling (1992) compared the relative merit of the azimuthal equal-area projection and Bonne's projection by overlaying isolines of maximum angular distortion on an approximate coastline of the North American continent, and he compared isolines of particular scales on the normal aspect of the Mercator, transverse Mercator, and the stereographic projection for a conformal map of Latin America.

Because the Goode homolosine projection gives an interrupted view, two other

equal-area projection methods were selected as alternatives.

A Polar Azimuthal

Equal-Area Projection with Straight Radiating Meridians

An interesting characteristic of this approach is that when a transformation occurs between two

equal-area projections, the amount of replication will be the same as that of loss.