Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space
Proceeding deals with development and testing of the module for GRASS GIS [1], based on Nearest Neighbour Analysis. This method can be useful for assessing whether points located in area of interest are distributed randomly, in clusters or separately. The main principle of the method consists of com...
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| Format: | Article |
| Language: | English |
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Czech Technical University in Prague
2013-12-01
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| Series: | Geoinformatics FCE CTU |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/gi/article/view/2540 |
| _version_ | 1818876717823950848 |
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| author | Eva Stopková |
| author_facet | Eva Stopková |
| author_sort | Eva Stopková |
| collection | DOAJ |
| description | Proceeding deals with development and testing of the module for GRASS GIS [1], based on Nearest Neighbour Analysis. This method can be useful for assessing whether points located in area of interest are distributed randomly, in clusters or separately. The main principle of the method consists of comparing observed average distance between the nearest neighbours r A to average distance between the nearest neighbours r E that is expected in case of randomly distributed points. The result should be statistically tested. The method for two- or three-dimensional space differs in way how to compute r E . Proceeding also describes extension of mathematical background deriving standard deviation of r E , needed in statistical test of analysis result. As disposition of phenomena (e.g. distribution of birds’ nests or plant species) and test results suggest, anisotropic function would repre- sent relationships between points in three-dimensional space better than isotropic function that was used in this work. |
| first_indexed | 2024-12-19T13:46:50Z |
| format | Article |
| id | doaj.art-e5deca5def1b4a9486013e0c950d0bbf |
| institution | Directory Open Access Journal |
| issn | 1802-2669 |
| language | English |
| last_indexed | 2024-12-19T13:46:50Z |
| publishDate | 2013-12-01 |
| publisher | Czech Technical University in Prague |
| record_format | Article |
| series | Geoinformatics FCE CTU |
| spelling | doaj.art-e5deca5def1b4a9486013e0c950d0bbf2022-12-21T20:18:51ZengCzech Technical University in PragueGeoinformatics FCE CTU1802-26692013-12-01110253610.14311/gi.11.22334Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional spaceEva Stopková0PhD. student of Geodesy and Cartography, Department of Theoretical Geodesy, Faculty of Civil Engineering, Slovak University of Technology in BratislavaProceeding deals with development and testing of the module for GRASS GIS [1], based on Nearest Neighbour Analysis. This method can be useful for assessing whether points located in area of interest are distributed randomly, in clusters or separately. The main principle of the method consists of comparing observed average distance between the nearest neighbours r A to average distance between the nearest neighbours r E that is expected in case of randomly distributed points. The result should be statistically tested. The method for two- or three-dimensional space differs in way how to compute r E . Proceeding also describes extension of mathematical background deriving standard deviation of r E , needed in statistical test of analysis result. As disposition of phenomena (e.g. distribution of birds’ nests or plant species) and test results suggest, anisotropic function would repre- sent relationships between points in three-dimensional space better than isotropic function that was used in this work.https://ojs.cvut.cz/ojs/index.php/gi/article/view/25403D GIS, spatial analysis, Nearest Neighbour Analysis |
| spellingShingle | Eva Stopková Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space Geoinformatics FCE CTU 3D GIS, spatial analysis, Nearest Neighbour Analysis |
| title | Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space |
| title_full | Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space |
| title_fullStr | Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space |
| title_full_unstemmed | Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space |
| title_short | Extension of mathematical background for Nearest Neighbour Analysis in three-dimensional space |
| title_sort | extension of mathematical background for nearest neighbour analysis in three dimensional space |
| topic | 3D GIS, spatial analysis, Nearest Neighbour Analysis |
| url | https://ojs.cvut.cz/ojs/index.php/gi/article/view/2540 |
| work_keys_str_mv | AT evastopkova extensionofmathematicalbackgroundfornearestneighbouranalysisinthreedimensionalspace |