Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data
International audience 1. Stable isotopes are increasingly used in ecology to investigate ontogenetic shifts in foraging habitat (via 13C) and in trophic level (via 15N). These shifts are in essence an individual-level phenomenon, requiring repeated measures throughout the life of individuals, that...
Published in: | Methods in Ecology and Evolution |
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ftinstagro:oai:HAL:hal-00627200v1 2024-10-20T14:08:25+00:00 Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data Authier, Matthieu Martin, Céline Ponchon, Aurore Steelandt, Stéphanie Bentaleb, Ilham Guinet, Christophe Centre d'Études Biologiques de Chizé (CEBC) Institut National de la Recherche Agronomique (INRA)-Centre National de la Recherche Scientifique (CNRS) École Doctorale Sciences pour l'Environnement Gay Lussac PRES Limousin Poitou-Charentes Institut des Sciences de l'Evolution de Montpellier (UMR ISEM) Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-École Pratique des Hautes Études (EPHE) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Université de Montpellier (UM)-Institut de recherche pour le développement IRD : UR226-Centre National de la Recherche Scientifique (CNRS) Centre d’Ecologie Fonctionnelle et Evolutive (CEFE) Université Paul-Valéry - Montpellier 3 (UPVM)-Institut National de la Recherche Agronomique (INRA)-Centre international d'études supérieures en sciences agronomiques (Montpellier SupAgro)-École Pratique des Hautes Études (EPHE) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD France-Sud )-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro) 2012 https://hal.science/hal-00627200 https://hal.science/hal-00627200v1/document https://hal.science/hal-00627200v1/file/Authier_Breaking_the_stick.pdf https://doi.org/10.1111/j.2041-210X.2011.00162.x en eng HAL CCSD Wiley info:eu-repo/semantics/altIdentifier/doi/10.1111/j.2041-210X.2011.00162.x info:eu-repo/semantics/OpenAccess ISSN: 2041-210X EISSN: 2041-210X Methods in Ecology and Evolution https://hal.science/hal-00627200 Methods in Ecology and Evolution, 2012, 3 (2), pp.281-390. ⟨10.1111/j.2041-210X.2011.00162.x⟩ Bayesian methods linear models modelling population ecology statistics [SDE]Environmental Sciences info:eu-repo/semantics/article Journal articles 2012 ftinstagro https://doi.org/10.1111/j.2041-210X.2011.00162.x 2024-09-26T14:04:55Z International audience 1. Stable isotopes are increasingly used in ecology to investigate ontogenetic shifts in foraging habitat (via 13C) and in trophic level (via 15N). These shifts are in essence an individual-level phenomenon, requiring repeated measures throughout the life of individuals, that is longitudinal data. Longitudinal data require in turn specifying an appropriate covariance structure. Here we present a hierarchical model to jointly investigate individual ontogenetic shifts in 13C and 15N values. 2. In a Bayesian framework, we used a Cholesky decomposition for estimating a moderately-sized covariance matrix, thereby directly estimating correlations between parameters describing time-series of isotopic measurements. We offer guidelines on how to select the covariance structure. 3. The approach is illustrated with a hierarchical change-point (or broken stick) model applied to a data set collected on Southern Elephant Seals, Mirounga leonina. Ontogenetic shifts in foraging habitat, following a juvenile and variable stage, were detected and interpreted as fidelity to a foraging strategy; while ontogenetic shifts in trophic level were more likely the result of complete independence from maternal resources followed by a gradual increase in trophic level as seals aged. 4. Specifying both an appropriate covariance and mean structure enabled us to draw strong inferences on the ecology of an elusive marine predator, and has wide applicability for isotopic ecology provided repeated isotopic measurements are available. Article in Journal/Newspaper Elephant Seals Mirounga leonina Southern Elephant Seals Portail HAL Institut Agro Methods in Ecology and Evolution 3 2 281 290 |
institution |
Open Polar |
collection |
Portail HAL Institut Agro |
op_collection_id |
ftinstagro |
language |
English |
topic |
Bayesian methods linear models modelling population ecology statistics [SDE]Environmental Sciences |
spellingShingle |
Bayesian methods linear models modelling population ecology statistics [SDE]Environmental Sciences Authier, Matthieu Martin, Céline Ponchon, Aurore Steelandt, Stéphanie Bentaleb, Ilham Guinet, Christophe Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
topic_facet |
Bayesian methods linear models modelling population ecology statistics [SDE]Environmental Sciences |
description |
International audience 1. Stable isotopes are increasingly used in ecology to investigate ontogenetic shifts in foraging habitat (via 13C) and in trophic level (via 15N). These shifts are in essence an individual-level phenomenon, requiring repeated measures throughout the life of individuals, that is longitudinal data. Longitudinal data require in turn specifying an appropriate covariance structure. Here we present a hierarchical model to jointly investigate individual ontogenetic shifts in 13C and 15N values. 2. In a Bayesian framework, we used a Cholesky decomposition for estimating a moderately-sized covariance matrix, thereby directly estimating correlations between parameters describing time-series of isotopic measurements. We offer guidelines on how to select the covariance structure. 3. The approach is illustrated with a hierarchical change-point (or broken stick) model applied to a data set collected on Southern Elephant Seals, Mirounga leonina. Ontogenetic shifts in foraging habitat, following a juvenile and variable stage, were detected and interpreted as fidelity to a foraging strategy; while ontogenetic shifts in trophic level were more likely the result of complete independence from maternal resources followed by a gradual increase in trophic level as seals aged. 4. Specifying both an appropriate covariance and mean structure enabled us to draw strong inferences on the ecology of an elusive marine predator, and has wide applicability for isotopic ecology provided repeated isotopic measurements are available. |
author2 |
Centre d'Études Biologiques de Chizé (CEBC) Institut National de la Recherche Agronomique (INRA)-Centre National de la Recherche Scientifique (CNRS) École Doctorale Sciences pour l'Environnement Gay Lussac PRES Limousin Poitou-Charentes Institut des Sciences de l'Evolution de Montpellier (UMR ISEM) Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-École Pratique des Hautes Études (EPHE) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Université de Montpellier (UM)-Institut de recherche pour le développement IRD : UR226-Centre National de la Recherche Scientifique (CNRS) Centre d’Ecologie Fonctionnelle et Evolutive (CEFE) Université Paul-Valéry - Montpellier 3 (UPVM)-Institut National de la Recherche Agronomique (INRA)-Centre international d'études supérieures en sciences agronomiques (Montpellier SupAgro)-École Pratique des Hautes Études (EPHE) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD France-Sud )-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro) |
format |
Article in Journal/Newspaper |
author |
Authier, Matthieu Martin, Céline Ponchon, Aurore Steelandt, Stéphanie Bentaleb, Ilham Guinet, Christophe |
author_facet |
Authier, Matthieu Martin, Céline Ponchon, Aurore Steelandt, Stéphanie Bentaleb, Ilham Guinet, Christophe |
author_sort |
Authier, Matthieu |
title |
Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
title_short |
Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
title_full |
Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
title_fullStr |
Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
title_full_unstemmed |
Breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
title_sort |
breaking the sticks: a hierarchical change-point model 1 for estimating ontogenetic shifts with stable isotope 2 data |
publisher |
HAL CCSD |
publishDate |
2012 |
url |
https://hal.science/hal-00627200 https://hal.science/hal-00627200v1/document https://hal.science/hal-00627200v1/file/Authier_Breaking_the_stick.pdf https://doi.org/10.1111/j.2041-210X.2011.00162.x |
genre |
Elephant Seals Mirounga leonina Southern Elephant Seals |
genre_facet |
Elephant Seals Mirounga leonina Southern Elephant Seals |
op_source |
ISSN: 2041-210X EISSN: 2041-210X Methods in Ecology and Evolution https://hal.science/hal-00627200 Methods in Ecology and Evolution, 2012, 3 (2), pp.281-390. ⟨10.1111/j.2041-210X.2011.00162.x⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1111/j.2041-210X.2011.00162.x |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.1111/j.2041-210X.2011.00162.x |
container_title |
Methods in Ecology and Evolution |
container_volume |
3 |
container_issue |
2 |
container_start_page |
281 |
op_container_end_page |
290 |
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1813447590521339904 |