Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models

Modeling species distributions over space and time is one of the major research topics in both ecology and conservation biology. Joint Species Distribution models (JSDMs) have recently been introduced as a tool to better model community data, by inferring a residual covariance matrix between species...

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Main Authors: Daria Bystrova, Giovanni Poggiato, Billur Bektaş, Julyan Arbel, James S. Clark, Alessandra Guglielmi, Wilfried Thuiller
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-03-01
Series:Frontiers in Ecology and Evolution
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fevo.2021.601384/full
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author Daria Bystrova
Daria Bystrova
Giovanni Poggiato
Giovanni Poggiato
Billur Bektaş
Julyan Arbel
James S. Clark
James S. Clark
James S. Clark
Alessandra Guglielmi
Wilfried Thuiller
author_facet Daria Bystrova
Daria Bystrova
Giovanni Poggiato
Giovanni Poggiato
Billur Bektaş
Julyan Arbel
James S. Clark
James S. Clark
James S. Clark
Alessandra Guglielmi
Wilfried Thuiller
author_sort Daria Bystrova
collection DOAJ
description Modeling species distributions over space and time is one of the major research topics in both ecology and conservation biology. Joint Species Distribution models (JSDMs) have recently been introduced as a tool to better model community data, by inferring a residual covariance matrix between species, after accounting for species' response to the environment. However, these models are computationally demanding, even when latent factors, a common tool for dimension reduction, are used. To address this issue, Taylor-Rodriguez et al. (2017) proposed to use a Dirichlet process, a Bayesian nonparametric prior, to further reduce model dimension by clustering species in the residual covariance matrix. Here, we built on this approach to include a prior knowledge on the potential number of clusters, and instead used a Pitman–Yor process to address some critical limitations of the Dirichlet process. We therefore propose a framework that includes prior knowledge in the residual covariance matrix, providing a tool to analyze clusters of species that share the same residual associations with respect to other species. We applied our methodology to a case study of plant communities in a protected area of the French Alps (the Bauges Regional Park), and demonstrated that our extensions improve dimension reduction and reveal additional information from the residual covariance matrix, notably showing how the estimated clusters are compatible with plant traits, endorsing their importance in shaping communities.
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spelling doaj.art-f9a95abc40ba44e4803e96e7a9e8ab082022-12-21T18:00:08ZengFrontiers Media S.A.Frontiers in Ecology and Evolution2296-701X2021-03-01910.3389/fevo.2021.601384601384Clustering Species With Residual Covariance Matrix in Joint Species Distribution ModelsDaria Bystrova0Daria Bystrova1Giovanni Poggiato2Giovanni Poggiato3Billur Bektaş4Julyan Arbel5James S. Clark6James S. Clark7James S. Clark8Alessandra Guglielmi9Wilfried Thuiller10University of Grenoble Alpes, University of Savoie Mont Blanc, CNRS, LECA, Grenoble, FranceUniv. Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, Grenoble, FranceUniversity of Grenoble Alpes, University of Savoie Mont Blanc, CNRS, LECA, Grenoble, FranceUniv. Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, Grenoble, FranceUniversity of Grenoble Alpes, University of Savoie Mont Blanc, CNRS, LECA, Grenoble, FranceUniv. Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, Grenoble, FranceUniversity of Grenoble Alpes, INRAE, LESSEM, Grenoble, FranceNicholas School of the Environment, Duke University, Durham, NC, United StatesDepartment of Statistical Science, Duke University, Durham, NC, United StatesDipartimento di Matematica, Politecnico di Milano, Milan, ItalyUniversity of Grenoble Alpes, University of Savoie Mont Blanc, CNRS, LECA, Grenoble, FranceModeling species distributions over space and time is one of the major research topics in both ecology and conservation biology. Joint Species Distribution models (JSDMs) have recently been introduced as a tool to better model community data, by inferring a residual covariance matrix between species, after accounting for species' response to the environment. However, these models are computationally demanding, even when latent factors, a common tool for dimension reduction, are used. To address this issue, Taylor-Rodriguez et al. (2017) proposed to use a Dirichlet process, a Bayesian nonparametric prior, to further reduce model dimension by clustering species in the residual covariance matrix. Here, we built on this approach to include a prior knowledge on the potential number of clusters, and instead used a Pitman–Yor process to address some critical limitations of the Dirichlet process. We therefore propose a framework that includes prior knowledge in the residual covariance matrix, providing a tool to analyze clusters of species that share the same residual associations with respect to other species. We applied our methodology to a case study of plant communities in a protected area of the French Alps (the Bauges Regional Park), and demonstrated that our extensions improve dimension reduction and reveal additional information from the residual covariance matrix, notably showing how the estimated clusters are compatible with plant traits, endorsing their importance in shaping communities.https://www.frontiersin.org/articles/10.3389/fevo.2021.601384/fullBiodiversity modelingdimension reductionjoint species distribution modellatent factorsBayesian nonparametricsplant communities
spellingShingle Daria Bystrova
Daria Bystrova
Giovanni Poggiato
Giovanni Poggiato
Billur Bektaş
Julyan Arbel
James S. Clark
James S. Clark
James S. Clark
Alessandra Guglielmi
Wilfried Thuiller
Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models
Frontiers in Ecology and Evolution
Biodiversity modeling
dimension reduction
joint species distribution model
latent factors
Bayesian nonparametrics
plant communities
title Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models
title_full Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models
title_fullStr Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models
title_full_unstemmed Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models
title_short Clustering Species With Residual Covariance Matrix in Joint Species Distribution Models
title_sort clustering species with residual covariance matrix in joint species distribution models
topic Biodiversity modeling
dimension reduction
joint species distribution model
latent factors
Bayesian nonparametrics
plant communities
url https://www.frontiersin.org/articles/10.3389/fevo.2021.601384/full
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