Ad 1) Ideally, the general
shape of the mapping area should match with the
distortion pattern of a specific projection (see figure below).
Ad 2) The choice of the aspect
of a map projection depends largely on the location (and orientation)
of the geographic area to be mapped. Optimal is when the projection
centre coincides with centre of the area, or when the
projection plane is located along the main axis
of the area to be mapped.
Ad 3) Once the class and aspect of the
map projection have been selected, the distortion property of
the map projection has to be chosen. The most appropriate type
of distortion property for a map depends largely on the purpose
for which it will be used.
Map projections with a conformal
distortion property represent angles and local shapes
correctly, but as the region becomes larger, they show considerable
area distortions. An example is the Mercator projection. Although
Greenland is only one-eighth the size of South America, Greenland
appears to be larger on the Mercator projection. Maps used for
the measurement of angles (e.g. aeronautical charts, topographic
maps) often make use of a conformal map projection.
Map projections with a equal-area
distortion property on the other hand, represent areas
correctly, but as the region becomes larger, it shows considerable
distortions of angles and consequently shapes. Maps which are
to be used for measuring areas (e.g. distribution maps) often
make use of an equal-area map projection.
The equidistant distortion
property is achievable only to a limited degree. That
is, true distances can be shown only from one or two points
to any other point on the map or in certain directions. If a
map is true to scale along the meridians (i.e. no distortion
in North-South direction) we say that the map is equidistant
along the meridians (e.g. the equidistant cylindrical projection
in the figure below). If a map is true to scale along all parallels
we say the map is equidistant along the parallels (i.e. no distortion
in East-West direction). Maps which require correct distances
measured from the centre of the map to any point (e.g. air-route,
radio or seismic maps) or maps which require reasonable area
and angle distortions (several thematic maps) often make use
of an equidistant map projection
In summary, the ideal map projection for any
country would either be an azimuthal, cylindrical, or conic
projection, depending on the shape of the area, with a secant
projection plane located along the main axis of the country
or the area of interest. The selected distortion property depends
largely on the purpose of the map.