@turf/nearest-neighbor-analysis
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Calculates an index based the average distances between points in the dataset, thereby providing inference as to whether the data is clustered, dispersed, or randomly distributed within the study area.
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TypeScript
import { FeatureCollection, Feature, Polygon, GeoJsonProperties } from 'geojson';
import { Units, AreaUnits } from '@turf/helpers';
/**
* Nearest neighbour statistics.
*
* @typedef {object} NearestNeighborStatistics
* @property {(Units & AreaUnits)} units
* @property {string} arealUnits
* @property {number} observedMeanDistance
* @property {number} expectedMeanDistance
* @property {number} numberOfPoints
* @property {number} zScore
*/
interface NearestNeighborStatistics {
units: Units & AreaUnits;
arealUnits: string;
observedMeanDistance: number;
expectedMeanDistance: number;
numberOfPoints: number;
zScore: number;
}
/**
* Nearest neighbour study area polygon feature.
*
* @typedef {object} NearestNeighborStudyArea
* @extends Feature<Polygon>
* @property {GeoJsonProperties} properties
* @property {NearestNeighborStatistics} properties.nearestNeighborAnalysis
*/
interface NearestNeighborStudyArea extends Feature<Polygon> {
properties: {
nearestNeighborAnalysis: NearestNeighborStatistics;
[key: string]: any;
};
}
/**
* Nearest Neighbor Analysis calculates an index based on the average distances
* between points in the dataset, thereby providing inference as to whether the
* data is clustered, dispersed, or randomly distributed within the study area.
*
* It returns a {@link Feature}<{@link Polygon}> of the study area, with the results of
* the analysis attached as part of of the `nearestNeighborAnalysis` property
* of the study area's `properties`. The attached
* [_z_-score](https://en.wikipedia.org/wiki/Standard_score) indicates how many
* standard deviations above or below the expected mean distance the data's
* observed mean distance is. The more negative, the more clustered. The more
* positive, the more evenly dispersed. A _z_-score between -2 and 2 indicates
* a seemingly random distribution. That is, within _p_ of less than 0.05, the
* distribution appears statistically significantly neither clustered nor
* dispersed.
*
* **Remarks**
*
* - Though the analysis will work on any {@link FeatureCollection} type, it
* works best with {@link Point} collections.
*
* - This analysis is _very_ sensitive to the study area provided.
* If no {@link Feature}<{@link Polygon}> is passed as the study area, the function draws a box
* around the data, which may distort the findings. This analysis works best
* with a bounded area of interest within with the data is either clustered,
* dispersed, or randomly distributed. For example, a city's subway stops may
* look extremely clustered if the study area is an entire state. On the other
* hand, they may look rather evenly dispersed if the study area is limited to
* the city's downtown.
*
* **Bibliography**
*
* Philip J. Clark and Francis C. Evans, “Distance to Nearest Neighbor as a
* Measure of Spatial Relationships in Populations,” _Ecology_ 35, no. 4
* (1954): 445–453, doi:[10.2307/1931034](http://doi.org/10.2307/1931034).
*
* @function
* @param {FeatureCollection<any>} dataset FeatureCollection (pref. of points) to study
* @param {Object} [options={}] Optional parameters
* @param {Feature<Polygon>} [options.studyArea] polygon representing the study area
* @param {Units & AreaUnits} [options.units='kilometers'] unit of measurement for distances and, squared, area.
* @param {GeoJsonProperties} [options.properties={}] properties
* @returns {NearestNeighborStudyArea} A polygon of the study area or an approximation of one.
* @example
* var bbox = [-65, 40, -63, 42];
* var dataset = turf.randomPoint(100, { bbox: bbox });
* var nearestNeighborStudyArea = turf.nearestNeighborAnalysis(dataset);
*
* //addToMap
* var addToMap = [dataset, nearestNeighborStudyArea];
*/
declare function nearestNeighborAnalysis(dataset: FeatureCollection<any>, options?: {
studyArea?: Feature<Polygon>;
units?: Units & AreaUnits;
properties?: GeoJsonProperties;
}): NearestNeighborStudyArea;
export { type NearestNeighborStatistics, type NearestNeighborStudyArea, nearestNeighborAnalysis as default, nearestNeighborAnalysis };