# @turf/standard-deviational-ellipse

> Takes a collection of features and returns a standard deviational ellipse.

Latest version **7.4.0** (published 2026-08-03) · MIT license · 0 weekly downloads

## Install

```sh
npm install @turf/standard-deviational-ellipse
pnpm add @turf/standard-deviational-ellipse
yarn add @turf/standard-deviational-ellipse
bun add @turf/standard-deviational-ellipse
```

## Health

**Score 80/100 (A)** — status: active.

Positive: has types; esm support; no vulnerabilities; has provenance; recently updated; high maintenance score; high quality score; popular repo.

Warnings: low downloads.

## Facts

| | |
|---|---|
| Version | 7.4.0 |
| Published | 2026-08-03 |
| First published | 2017-11-27 |
| Weekly downloads | 0 |
| License | MIT |
| TypeScript types | bundled |
| Module format | ESM + CommonJS |
| Dependencies | 8 |
| Unpacked size | 38.1 KB |
| Known vulnerabilities | 0 |
| Install scripts | no |
| Provenance | attested (GitHub Actions) |
| GitHub stars | 10490 |
| Author | Turf Authors |
| Maintainers | rowanwins, tmcw, morganherlocker, tcql, mdfedderly, twelch, jamesmilneruk, morgan.herlocker |
| Keywords | turf, standard-deviational-ellipse, geostatistics, directional distribution |

## Links

- npm: https://www.npmjs.com/package/@turf/standard-deviational-ellipse
- Repository: https://github.com/Turfjs/turf
- Issues: https://github.com/Turfjs/turf/issues
- Funding: https://opencollective.com/turf
- npm.io page: https://npm.io/package/@turf/standard-deviational-ellipse

## Dependencies (8)

- [tslib](https://npm.io/package/tslib.md) ^2.8.1
- [@turf/meta](https://npm.io/package/@turf/meta.md) 7.4.0
- [@turf/ellipse](https://npm.io/package/@turf/ellipse.md) 7.4.0
- [@turf/helpers](https://npm.io/package/@turf/helpers.md) 7.4.0
- [@types/geojson](https://npm.io/package/@types/geojson.md) ^7946.0.10
- [@turf/invariant](https://npm.io/package/@turf/invariant.md) 7.4.0
- [@turf/center-mean](https://npm.io/package/@turf/center-mean.md) 7.4.0
- [@turf/points-within-polygon](https://npm.io/package/@turf/points-within-polygon.md) 7.4.0

## Recent versions

- 7.4.0 (latest) — 2026-08-03
- 7.1.0-alpha.70 (prerelease) — 2024-08-09
- 7.3.5 — 2026-04-19
- 7.3.4 — 2026-02-08
- 7.3.3 — 2026-01-28
- 7.3.2 — 2026-01-14
- 7.3.1 — 2025-11-27
- 7.3.0 — 2025-11-17
- 7.2.0 — 2024-12-29
- 7.1.0 — 2024-08-09
- 7.1.0-alpha.7 — 2024-06-25
- 7.0.0 — 2024-06-07
- 7.0.0-alpha.116 — 2024-05-07
- 7.0.0-alpha.115 — 2024-04-23
- 7.0.0-alpha.114 — 2024-03-11
- … 17 more at https://npm.io/package/@turf/standard-deviational-ellipse/versions

## README

# @turf/standard-deviational-ellipse

<!-- Generated by documentation.js. Update this documentation by updating the source code. -->

## standardDeviationalEllipse

Takes a collection of features 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][1]
in ArcGIS and the [QGIS Standard Deviational Ellipse Plugin][2]

**Bibliography**

• Robert S. Yuill, “The Standard Deviational Ellipse; An Updated Tool for
Spatial Description,” *Geografiska Annaler* 53, no. 1 (1971): 28–39,
doi:{@link [https://doi.org/10.2307/490885|10.2307/490885}][3].

• Paul Hanly Furfey, “A Note on Lefever’s “Standard Deviational Ellipse,”
*American Journal of Sociology* 33, no. 1 (1927): 94—98,
doi:{@link [https://doi.org/10.1086/214336|10.1086/214336}][4].

### Parameters

*   `points` **[FeatureCollection][5]<[Point][6]>** GeoJSON points
*   `options` **[Object][7]** Optional parameters (optional, default `{}`)

    *   `options.weight` **[string][8]?** the property name used to weight the center
    *   `options.steps` **[number][9]** number of steps for the polygon (optional, default `64`)
    *   `options.properties` **[Object][7]** properties to pass to the resulting ellipse (optional, default `{}`)

### Examples

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

//addToMap
const addToMap = [points, sdEllipse];
```

Returns **[Feature][10]<[Polygon][11]>** an elliptical Polygon that includes approximately 1 SD of the dataset within it.

[1]: http://desktop.arcgis.com/en/arcmap/10.3/tools/spatial-statistics-toolbox/directional-distribution.htm

[2]: http://arken.nmbu.no/~havatv/gis/qgisplugins/SDEllipse/

[3]: https://doi.org/10.2307/490885|10.2307/490885}

[4]: https://doi.org/10.1086/214336|10.1086/214336}

[5]: https://tools.ietf.org/html/rfc7946#section-3.3

[6]: https://tools.ietf.org/html/rfc7946#section-3.1.2

[7]: https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Object

[8]: https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/String

[9]: https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Number

[10]: https://tools.ietf.org/html/rfc7946#section-3.2

[11]: https://tools.ietf.org/html/rfc7946#section-3.1.6

<!-- This file is automatically generated. Please don't edit it directly. If you find an error, edit the source file of the module in question (likely index.js or index.ts), and re-run "yarn docs" from the root of the turf project. -->

---

This module is part of the [Turfjs project](https://turfjs.org/), an open source module collection dedicated to geographic algorithms. It is maintained in the [Turfjs/turf](https://github.com/Turfjs/turf) repository, where you can create PRs and issues.

### Installation

Install this single module individually:

```sh
$ npm install @turf/standard-deviational-ellipse
```

Or install the all-encompassing @turf/turf module that includes all modules as functions:

```sh
$ npm install @turf/turf
```

---
_Source: https://npm.io/package/@turf/standard-deviational-ellipse · Machine-readable twin of the npm.io package page. Health data is recomputed on every publish._
