Testing biodiversity using inhomogeneous summary statistics and global envelope tests

Maike de Jongh; Marie-Colette van Lieshout

doi:10.1016/j.spasta.2022.100607

Testing biodiversity using inhomogeneous summary statistics and global envelope tests

Maike de Jongh, Marie-Colette van Lieshout

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Abstract

We discuss recent methodological developments in inhomogeneous summary statistics and envelope testing and study their applications in the field of spatial point pattern analysis. Specifically, we use these methods to test McGill’s theory of biodiversity. This theory is based upon three axioms: individuals of the same species cluster together, many rare species co-exist with a few common ones and individuals of different species grow independently of each other. We assess the validity of the first and third axioms for data obtained from a 50 hectare plot on Barro Colorado Island.

Original language	English
Article number	100607
Number of pages	15
Journal	Spatial statistics
Volume	50
Issue number	August
Early online date	21 Jan 2021
DOIs	https://doi.org/10.1016/j.spasta.2022.100607
Publication status	Published - 1 Aug 2022

Keywords

Biodiversity
Clustering within species
ndependence between species
Inhomogeneous summary statistics
Spatial point pattern
Rank and global envelope tests
UT-Hybrid-D

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title = "Testing biodiversity using inhomogeneous summary statistics and global envelope tests",

abstract = "We discuss recent methodological developments in inhomogeneous summary statistics and envelope testing and study their applications in the field of spatial point pattern analysis. Specifically, we use these methods to test McGill{\textquoteright}s theory of biodiversity. This theory is based upon three axioms: individuals of the same species cluster together, many rare species co-exist with a few common ones and individuals of different species grow independently of each other. We assess the validity of the first and third axioms for data obtained from a 50 hectare plot on Barro Colorado Island.",

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AB - We discuss recent methodological developments in inhomogeneous summary statistics and envelope testing and study their applications in the field of spatial point pattern analysis. Specifically, we use these methods to test McGill’s theory of biodiversity. This theory is based upon three axioms: individuals of the same species cluster together, many rare species co-exist with a few common ones and individuals of different species grow independently of each other. We assess the validity of the first and third axioms for data obtained from a 50 hectare plot on Barro Colorado Island.

KW - Biodiversity

KW - Clustering within species

KW - ndependence between species

KW - Inhomogeneous summary statistics

KW - Spatial point pattern

KW - Rank and global envelope tests

KW - UT-Hybrid-D

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Testing biodiversity using inhomogeneous summary statistics and global envelope tests

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Keywords

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