A proportional symbol map or proportional point symbol map is a type of thematic map that uses map symbols that vary in size to represent a quantitative variable.[1]: 131 For example, circles may be used to show the location of cities within the map, with the size of each circle sized proportionally to the population of the city. Typically, the size of each symbol is calculated so that its area is mathematically proportional to the variable, but more indirect methods (e.g., categorizing symbols as "small," "medium," and "large") are also used.
While all dimensions of geometric primitives (i.e., points, lines, and regions) on a map can be resized according to a variable, this term is generally only applied to point symbols, and different design techniques are used for other dimensionalities. A cartogram is a map that distorts region size proportionally, while a flow map represents lines, often using the width of the symbol (a form of size) to represent a quantitative variable. That said, there are gray areas between these three types of proportional map: a Dorling cartogram essentially replaces the polygons of area features with a proportional point symbol (usually a circle), while a linear cartogram is a kind of flow map that distorts the length of linear features proportional to a variable (often travel time).
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A proportionalsymbolmap or proportional point symbolmap is a type of thematic map that uses mapsymbols that vary in size to represent a quantitative...
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MacEachren, Alan M., How Maps Work: Representation, Visualization, and Design, Guilford, 1995 "Graduated and ProportionalSymbolMaps". GEOG 486: Cartography...
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w_{2},\dots ,w_{n})} , which is the tuple of the (positive) symbol weights (usually proportional to probabilities), i.e. w i = weight ( a i ) , i ∈ { 1...
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