Partitioning the phenotypic and genetic variances of reaction norms

Many traits show plastic phenotypic variation across environments, captured by their norms of reaction. These reaction norms may be discrete or continuous, and can substantially vary in shape across organisms and traits, making it difficult to compare amounts and types of plasticity among (or even w...

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Main Authors: de Villemereuil, Pierre, Chevin, Luis-Miguel
Format: Article
Language:English
Published: Peer Community In 2025-01-01
Series:Peer Community Journal
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Online Access:https://peercommunityjournal.org/articles/10.24072/pcjournal.515/
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author de Villemereuil, Pierre
Chevin, Luis-Miguel
author_facet de Villemereuil, Pierre
Chevin, Luis-Miguel
author_sort de Villemereuil, Pierre
collection DOAJ
description Many traits show plastic phenotypic variation across environments, captured by their norms of reaction. These reaction norms may be discrete or continuous, and can substantially vary in shape across organisms and traits, making it difficult to compare amounts and types of plasticity among (or even within) studies. In addition, the evolutionary potential of phenotypic traits and their plasticity in heterogeneous environments critically depends on how reaction norms vary genetically, but there is no consensus on how this should be quantified. Here, we propose a partitioning of phenotypic variance across genotypes and environments that jointly address these challenges. We start by distinguishing the components of phenotypic variance arising from the average reaction norm across genotypes, genetic variation in reaction norms (with additive and non-additive components), and a residual that cannot be predicted from the genotype and the environment. We then further partition the genetic variance of the trait (additive or not) into an environment-blind component and a component arising from genetic variance in plasticity. We show that the additive components can be expressed, and further decomposed according to the relative contributions from each parameter, using what we describe as the reaction norm gradient. This allows for a very general framework applicable from the character-state to curve-parameter approaches, including polynomial functions, or arbitrary non-linear models. To facilitate the use of this variance decomposition, we provide the Reacnorm R package, including a practical tutorial. Overall the toolbox we develop should serve as a basis for a unifying and deeper understanding of the variation and genetics of reaction norms and plasticity, as well as more robust comparative studies of plasticity across organisms and traits.
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spelling doaj-art-5e37093988c348a9a6dec50d874257332025-02-07T10:34:51ZengPeer Community InPeer Community Journal2804-38712025-01-01510.24072/pcjournal.51510.24072/pcjournal.515Partitioning the phenotypic and genetic variances of reaction norms de Villemereuil, Pierre0https://orcid.org/0000-0002-8791-6104Chevin, Luis-Miguel1https://orcid.org/0000-0003-4188-4618Institut de Systématique, Évolution, Biodiversité (ISYEB), École Pratique des Hautes Études PSL, MNHN, CNRS, SU, UA, Paris, France; Institut Universitaire de France (IUF)CEFE, CNRS, Université de Montpellier, Université Paul Valéry Montpellier 3, EPHE, IRD, Montpellier, FranceMany traits show plastic phenotypic variation across environments, captured by their norms of reaction. These reaction norms may be discrete or continuous, and can substantially vary in shape across organisms and traits, making it difficult to compare amounts and types of plasticity among (or even within) studies. In addition, the evolutionary potential of phenotypic traits and their plasticity in heterogeneous environments critically depends on how reaction norms vary genetically, but there is no consensus on how this should be quantified. Here, we propose a partitioning of phenotypic variance across genotypes and environments that jointly address these challenges. We start by distinguishing the components of phenotypic variance arising from the average reaction norm across genotypes, genetic variation in reaction norms (with additive and non-additive components), and a residual that cannot be predicted from the genotype and the environment. We then further partition the genetic variance of the trait (additive or not) into an environment-blind component and a component arising from genetic variance in plasticity. We show that the additive components can be expressed, and further decomposed according to the relative contributions from each parameter, using what we describe as the reaction norm gradient. This allows for a very general framework applicable from the character-state to curve-parameter approaches, including polynomial functions, or arbitrary non-linear models. To facilitate the use of this variance decomposition, we provide the Reacnorm R package, including a practical tutorial. Overall the toolbox we develop should serve as a basis for a unifying and deeper understanding of the variation and genetics of reaction norms and plasticity, as well as more robust comparative studies of plasticity across organisms and traits.https://peercommunityjournal.org/articles/10.24072/pcjournal.515/phenotypic plasticity, quantitative genetics, character-state approach, polynomial approach, non-linear modelling
spellingShingle de Villemereuil, Pierre
Chevin, Luis-Miguel
Partitioning the phenotypic and genetic variances of reaction norms
Peer Community Journal
phenotypic plasticity, quantitative genetics, character-state approach, polynomial approach, non-linear modelling
title Partitioning the phenotypic and genetic variances of reaction norms
title_full Partitioning the phenotypic and genetic variances of reaction norms
title_fullStr Partitioning the phenotypic and genetic variances of reaction norms
title_full_unstemmed Partitioning the phenotypic and genetic variances of reaction norms
title_short Partitioning the phenotypic and genetic variances of reaction norms
title_sort partitioning the phenotypic and genetic variances of reaction norms
topic phenotypic plasticity, quantitative genetics, character-state approach, polynomial approach, non-linear modelling
url https://peercommunityjournal.org/articles/10.24072/pcjournal.515/
work_keys_str_mv AT devillemereuilpierre partitioningthephenotypicandgeneticvariancesofreactionnorms
AT chevinluismiguel partitioningthephenotypicandgeneticvariancesofreactionnorms