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Version: 7.0.0



Takes a FeatureCollection and returns a standard deviational ellipse, also known as a “directional distribution.” The standard deviational ellipse aims to show the direction and the distribution of a dataset by drawing an ellipse that contains about one standard deviation’s worth (~ 70%) of the data.

This module mirrors the functionality of Directional Distribution in ArcGIS and the QGIS Standard Deviational Ellipse Plugin


• Robert S. Yuill, “The Standard Deviational Ellipse; An Updated Tool for Spatial Description,” Geografiska Annaler 53, no. 1 (1971): 28–39, doi:10.2307/490885.

• Paul Hanly Furfey, “A Note on Lefever’s “Standard Deviational Ellipse,” American Journal of Sociology 33, no. 1 (1927): 94—98, doi:10.1086/214336.


pointsFeatureCollection<Point>GeoJSON points
options?ObjectOptional parameters (default {})
options.weight?stringthe property name used to weight the center
options.steps?numbernumber of steps for the polygon (default 64) to pass to the resulting ellipse (default {})


    Feature<Polygon> an elliptical Polygon that includes approximately 1 SD of the dataset within it.


var bbox = [-74, 40.72, -73.98, 40.74];
var points = turf.randomPoint(400, { bbox: bbox });
var sdEllipse = turf.standardDeviationalEllipse(points);


$ npm install @turf/standard-deviational-ellipse

import { standardDeviationalEllipse } from "@turf/standard-deviational-ellipse";
const result = standardDeviationalEllipse(...);
$ npm install @turf/turf

import * as turf from "@turf/turf";
const result = turf.standardDeviationalEllipse(...);