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dc.contributor.authorNiku, Jenni
dc.contributor.authorHui, Francis K. C.
dc.contributor.authorTaskinen, Sara
dc.contributor.authorWarton, David I.
dc.date.accessioned2021-05-31T10:41:04Z
dc.date.available2021-05-31T10:41:04Z
dc.date.issued2021
dc.identifier.citationNiku, J., Hui, F. K. C., Taskinen, S., & Warton, D. I. (2021). Analyzing environmental‐trait interactions in ecological communities with fourth‐corner latent variable models. <i>Environmetrics</i>, <i>32</i>(6), Article e2683. <a href="https://doi.org/10.1002/env.2683" target="_blank">https://doi.org/10.1002/env.2683</a>
dc.identifier.otherCONVID_89738518
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/76080
dc.description.abstractIn ecological community studies it is often of interest to study the effect of species related trait variables on abundances or presence-absences. Specifically, the interest may lay in the interactions between environmental and trait variables. An increasingly popular approach for studying such interactions is to use the so-called fourth-corner model, which explicitly posits a regression model where the mean response of each species is a function of interactions between covariate and trait predictors (among other terms). On the other hand, many of the fourth-corner models currently applied in the literature are too simplistic to properly account for variation in environmental and trait response and any residual covariation between species. To overcome this problem, we propose a fourth-corner latent variable model which combines the following three features: latent variables to capture the correlation between species, fourth-corner terms to account for environment-trait interactions, and species-specific random slopes for modeling excess heterogeneity between species in their environmental response. We perform an extensive numerical study comparing a variety of fourth-corner models available in the literature which account for the aforementioned sources of variation to varying degrees. Simulation results demonstrate that the proposed fourth-corner latent variable models performed well when testing for the fourth-corner (interaction) coefficients, across both Type I error and power. By comparison, some models that do not full account for all relevant sources of variation suffer from inflated Type I error leading to potentially misleading inference. The proposed method is illustrated by an example on ground beetle data.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherJohn Wiley & Sons
dc.relation.ispartofseriesEnvironmetrics
dc.rightsCC BY 4.0
dc.subject.othercommunity analysis
dc.subject.otherfourth-corner problem
dc.subject.othergeneralized linear mixed model
dc.subject.otherjoint species distribution model
dc.subject.othermultivariate abundance data
dc.subject.othervariational approximation
dc.titleAnalyzing environmental‐trait interactions in ecological communities with fourth‐corner latent variable models
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202105313323
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineTilastotiedefi
dc.contributor.oppiaineStatisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn1180-4009
dc.relation.numberinseries6
dc.relation.volume32
dc.type.versionpublishedVersion
dc.rights.copyright© 2021 The Authors. Environmetrics published by John Wiley & Sons Ltd.
dc.rights.accesslevelopenAccessfi
dc.subject.ysotilastolliset mallit
dc.subject.ysoympäristönmuutokset
dc.subject.ysoeliöyhteisöt
dc.subject.ysoekologia
dc.subject.ysomonimuuttujamenetelmät
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p26278
jyx.subject.urihttp://www.yso.fi/onto/yso/p13431
jyx.subject.urihttp://www.yso.fi/onto/yso/p4636
jyx.subject.urihttp://www.yso.fi/onto/yso/p634
jyx.subject.urihttp://www.yso.fi/onto/yso/p2131
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1002/env.2683
jyx.fundinginformationAustralian Research Council; KoneenSäätiö; Maj ja Tor Nesslingin Säätiö;Suomen Kulttuurirahasto
dc.type.okmA1


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