A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects

1. Measurements of competition and facilitation between plants often rely upon intensity and importance indices that quantify the net effect of neighbours on the performance of a target plant. A systematic analysis of the mathematical behaviour of the indices is lacking and leads to structural pitfa...

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Autores: Díaz Sierra, Rubén, Verwijmeren, Mart, Rietkerk, Max, Resco de Dios, Víctor, Baudena, Mara
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Recursos:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/59122
Acesso em linha:https://doi.org/10.1111/2041-210X.12706
http://hdl.handle.net/10459.1/59122
Access Level:acceso abierto
Palavra-chave:Competition
Facilitation
Plant–plant interactions indices
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spelling A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effectsDíaz Sierra, RubénVerwijmeren, MartRietkerk, MaxResco de Dios, VíctorBaudena, MaraCompetitionFacilitationPlant–plant interactions indices1. Measurements of competition and facilitation between plants often rely upon intensity and importance indices that quantify the net effect of neighbours on the performance of a target plant. A systematic analysis of the mathematical behaviour of the indices is lacking and leads to structural pitfalls, e.g. statistical problems detected in importance indices. 2. We summarize and analyse themathematical properties that the indices should display. We reviewthe properties of the commonly used indices focusing on standardization and symmetry, which are necessary to avoid compromising data interpretation.We introduce a new family of indices ‘Neighbour-effect Indices’ that meet all the proposed properties. 3. Considering the commonly used indices, none of the importance indices are standardized, and onlyRII (Relative Interaction Index) displays all the required mathematical properties. The existing indices show two types of symmetries, namely, additive or commutative, which are currently confounded, potentially resulting in misleading interpretations. Our Neighbour-effect Indices encompass two intensity and two importance indices that are standardized and have different and defined symmetries. 4. Our new additive intensity index, NIntA, is the first of its kind, and it is generally more suitable for assessing competition and facilitation intensity than the widely used RII, which may underestimate facilitation. Our new standardized importance indices solve the main statistical problems that are known to affectCimp and Iimp. Intensity and importance with the same symmetry should be used within the same study. The Neighbour-effect Indices, sharing the same formulation, will allow for unbiased comparisons between intensity and importance, and between types of symmetry.The research of R.D.S. was supported by funding from Ministry of Economy and Competitivity (AGL2015-69151-R). V.R.D. was supported by a Ram on y Cajal fellowship (RYC-2012-10970, MINECO, Spain). The research of M.B. and M.R. was supported by funding from the European Union’s Seventh Framework Programme (FP7/2007–2013), grant agreement 283068 (CASCADE). M.V. was supported by an NWO–ALW ‘open competition’ grant. (Netherlands Science Foundation – Earth and Life Sciences, project number 820.01.020.).Wiley2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.1111/2041-210X.12706http://hdl.handle.net/10459.1/59122reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)InglésMINECO/PN2013-2016/AGL2015-69151-RReproducció del document publicat a https://doi.org/10.1111/2041-210X.12706Methods in Ecology and Evolution, 2016, p. 1-12info:eu-repo/grantAgreement/EC/FP7/283068cc-by (c) Díaz Sierra, Rubén. et al., 2016info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/oai:repositori.udl.cat:10459.1/591222026-06-24T12:42:17Z
dc.title.none.fl_str_mv A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
title A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
spellingShingle A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
Díaz Sierra, Rubén
Competition
Facilitation
Plant–plant interactions indices
title_short A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
title_full A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
title_fullStr A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
title_full_unstemmed A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
title_sort A new family of standardized and symmetric indices for measuring the intensity and importance of plant neighbour effects
dc.creator.none.fl_str_mv Díaz Sierra, Rubén
Verwijmeren, Mart
Rietkerk, Max
Resco de Dios, Víctor
Baudena, Mara
author Díaz Sierra, Rubén
author_facet Díaz Sierra, Rubén
Verwijmeren, Mart
Rietkerk, Max
Resco de Dios, Víctor
Baudena, Mara
author_role author
author2 Verwijmeren, Mart
Rietkerk, Max
Resco de Dios, Víctor
Baudena, Mara
author2_role author
author
author
author
dc.subject.none.fl_str_mv Competition
Facilitation
Plant–plant interactions indices
topic Competition
Facilitation
Plant–plant interactions indices
description 1. Measurements of competition and facilitation between plants often rely upon intensity and importance indices that quantify the net effect of neighbours on the performance of a target plant. A systematic analysis of the mathematical behaviour of the indices is lacking and leads to structural pitfalls, e.g. statistical problems detected in importance indices. 2. We summarize and analyse themathematical properties that the indices should display. We reviewthe properties of the commonly used indices focusing on standardization and symmetry, which are necessary to avoid compromising data interpretation.We introduce a new family of indices ‘Neighbour-effect Indices’ that meet all the proposed properties. 3. Considering the commonly used indices, none of the importance indices are standardized, and onlyRII (Relative Interaction Index) displays all the required mathematical properties. The existing indices show two types of symmetries, namely, additive or commutative, which are currently confounded, potentially resulting in misleading interpretations. Our Neighbour-effect Indices encompass two intensity and two importance indices that are standardized and have different and defined symmetries. 4. Our new additive intensity index, NIntA, is the first of its kind, and it is generally more suitable for assessing competition and facilitation intensity than the widely used RII, which may underestimate facilitation. Our new standardized importance indices solve the main statistical problems that are known to affectCimp and Iimp. Intensity and importance with the same symmetry should be used within the same study. The Neighbour-effect Indices, sharing the same formulation, will allow for unbiased comparisons between intensity and importance, and between types of symmetry.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1111/2041-210X.12706
http://hdl.handle.net/10459.1/59122
url https://doi.org/10.1111/2041-210X.12706
http://hdl.handle.net/10459.1/59122
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv MINECO/PN2013-2016/AGL2015-69151-R
Reproducció del document publicat a https://doi.org/10.1111/2041-210X.12706
Methods in Ecology and Evolution, 2016, p. 1-12
info:eu-repo/grantAgreement/EC/FP7/283068
dc.rights.none.fl_str_mv cc-by (c) Díaz Sierra, Rubén. et al., 2016
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
rights_invalid_str_mv cc-by (c) Díaz Sierra, Rubén. et al., 2016
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositori Obert UdL
instname:Universitat de Lleida (UdL)
instname_str Universitat de Lleida (UdL)
reponame_str Repositori Obert UdL
collection Repositori Obert UdL
repository.name.fl_str_mv
repository.mail.fl_str_mv
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