Algorithm for analyzing randomness in point patterns

Various tests can be used to assess whether the spatial distribution pattern of a set of points is random, dispersed, or clustered. These tests typically compare the expected and observed distances among points, assuming no barriers. However, what is deemed ``random'' in point spatial patterns may be influenced by socio-environmental factors such as wetlands or transportation networks. This tool introduces a sequence of spatial analysis procedure and a statistical testing to evaluate the correlation between observed point patterns and potential spatial determinants (polygons). If a determinant influences the observed point pattern, the classification of the distribution as random must be reconsidered. We implemented this algorithm in Python as a QGIS script with two main steps: the first handles overlay operations and preliminary calculations for the chi-square goodness-of-fit test with and without Bonferroni correction in the second step.•A detailed step-by-step procedure for analyzing randomness in point patterns in a processing toolbox Python script for integration into the open-source software QGIS.•Automated scripts for structuring data, calculating expected and observed values, and applying the chi-square goodness-of-fit test for statistical analysis.•Advanced spatial analysis using chi-square goodness of fit coupled with and without Bonferroni correction, providing deeper insight into the study of the effect of spatial phenomena on the distribution of point events.

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Publication Details

Journal
MethodsX
Published
2025-05-09
DOI
https://doi.org/10.1016/j.mex.2025.103360
Citations
1
Primary Topic
Soil Geostatistics and Mapping
Type
article
Field-Weighted Citation Impact
0.80

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article

Algorithm for analyzing randomness in point patterns

Fábio Marcelo Breunig, Tony Vinícius Moreira Sampaio, Cláudia M. Viana, Edenilson Roberto do Nascimento et al.
1 citations
MethodsX
Soil Geostatistics and Mapping
0.80
article

Algorithm for analyzing randomness in point patterns

Fábio Marcelo Breunig, Tony Vinícius Moreira Sampaio, Cláudia M. Viana, Edenilson Roberto do Nascimento, Jorge Rocha, Elaine de Cacia de Lima Frick, Silvana Camboin
article en
1 citations

Abstract

Various tests can be used to assess whether the spatial distribution pattern of a set of points is random, dispersed, or clustered. These tests typically compare the expected and observed distances among points, assuming no barriers. However, what is deemed ``random'' in point spatial patterns may be influenced by socio-environmental factors such as wetlands or transportation networks. This tool introduces a sequence of spatial analysis procedure and a statistical testing to evaluate the correlation between observed point patterns and potential spatial determinants (polygons). If a determinant influences the observed point pattern, the classification of the distribution as random must be reconsidered. We implemented this algorithm in Python as a QGIS script with two main steps: the first handles overlay operations and preliminary calculations for the chi-square goodness-of-fit test with and without Bonferroni correction in the second step.•A detailed step-by-step procedure for analyzing randomness in point patterns in a processing toolbox Python script for integration into the open-source software QGIS.•Automated scripts for structuring data, calculating expected and observed values, and applying the chi-square goodness-of-fit test for statistical analysis.•Advanced spatial analysis using chi-square goodness of fit coupled with and without Bonferroni correction, providing deeper insight into the study of the effect of spatial phenomena on the distribution of point events.

MethodsXVol. 14
Universidade Tecnológica Federal do Paraná (BR), University of Lisbon (PT), Open Geospatial Consortium (US), Terra Scenica (PT), Universidade Federal do Paraná (BR)
Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação para a Ciência e a Tecnologia
Openalex Percentile: Top 30%
Soil Geostatistics and Mapping
0.80
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