Clarifying the standard deviational ellipse.

Geographical Analysis | April 1, 2002| | Copyright

For a set of geographical units in the Cartesian coordinate system, the locus of the standard deviation of the x coordinates of the set forms a closed curve as the system is rotated about the origin. This curve, often referred to as "standard deviational ellipse" (SDE), is not in fact an ellipse. The actual shape of the curve has remained unclear since the issue was mentioned initially by Lefever in 1926. In the present paper this closed curve, referred to as "standard deviation curve" (SDC), is clarified mathematically, and some of its applications in spatial analysis are ...

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