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Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence

Thesis (MSc)--Stellenbosch University, 2017.

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Main Author: Lagat, Vitalis Kimutai
Other Authors: Hui, Cang
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University. 2017
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access_status_str Open Access
author Lagat, Vitalis Kimutai
author2 Hui, Cang
author_browse Hui, Cang
Lagat, Vitalis Kimutai
author_facet Hui, Cang
Lagat, Vitalis Kimutai
author_sort Lagat, Vitalis Kimutai
collection Thesis
dc_rights_str_mv Stellenbosch University.
description Thesis (MSc)--Stellenbosch University, 2017.
format Thesis
id oai:scholar.sun.ac.za:10019.1/101383
institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:45:52.267Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2017
publishDateRange 2017
publishDateSort 2017
publisher Stellenbosch : Stellenbosch University.
publisherStr Stellenbosch : Stellenbosch University.
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/101383 Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence Lagat, Vitalis Kimutai Hui, Cang Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Mathematical Sciences Null models (Ecology) Competition (Biology) Autocorrelation (Statistics) Spatial ecology Species -- Geographical distribution Species-by-site matrix Permutations Checkerboard score UCTD Thesis (MSc)--Stellenbosch University, 2017. ENGLISH ABSTRACT: To avoid conflicts and optimally exploit environmental resources, species will partition available habitats, forming co-occurrence patterns. Such datasets are often described as a species-by-site matrix. Null models based on permutations with constraints on row or column sums have been used in this regard, with the Chessboard score (C-score) a common metric for detecting significant signals of association or dissociation, from which the type of biotic interactions can be inferred. However, such a permutation test often ignore the spatial autocorrelation of species distributions which could lead to counterintuitive results in the null model test. Consequently, tests should account for the spatial autocorrelation of each species. Another important concept that is ignored in the classic permutation test is the matching of environmental heterogeneity and species' habitat preference. To tease apart the role of environmental heterogeneity from biotic interactions, the permutation test should also be allowed to reserve the association between species. This project thus designs a permutation null model test that can progressively include the spatial autocorrelation of species and the association between species so that the role of aggregation and environmental heterogeneity can be further examined. A R package has been designed to implement both classic (spatially implicit) null model tests of co-occurrence and newly designed approaches for the permutation test with constraints on species autocorrelation and association. Though both the classic and the newly designed null models lead to the same inference regarding inter-specific competition as a factor structuring ecological communities, the latter is more reliable because it does not violate any of the assumptions of the test. Keywords: Null model; interspecific competition; spatial autocorrelation; species association; species co-occurrence; null hypothesis; species-by-site matrix; permutation test; checkerboard distribution. Masters 2017-02-07T12:49:00Z 2017-03-29T20:54:36Z 2020-02-08T03:00:12Z 2017-03 Thesis http://hdl.handle.net/10019.1/101383 en Stellenbosch University. xii, 64 pages : map application/pdf Stellenbosch : Stellenbosch University.
spellingShingle Null models (Ecology)
Competition (Biology)
Autocorrelation (Statistics)
Spatial ecology
Species -- Geographical distribution
Species-by-site matrix
Permutations
Checkerboard score
UCTD
Lagat, Vitalis Kimutai
Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence
title Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence
title_full Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence
title_fullStr Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence
title_full_unstemmed Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence
title_short Incorporating spatial autocorrelation and association in the statistical null model test of co-occurrence
title_sort incorporating spatial autocorrelation and association in the statistical null model test of co occurrence
topic Null models (Ecology)
Competition (Biology)
Autocorrelation (Statistics)
Spatial ecology
Species -- Geographical distribution
Species-by-site matrix
Permutations
Checkerboard score
UCTD
url http://hdl.handle.net/10019.1/101383
work_keys_str_mv AT lagatvitaliskimutai incorporatingspatialautocorrelationandassociationinthestatisticalnullmodeltestofcooccurrence