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Breaking the sticks: a hierarchical change-point model for estimating ontogenetic shifts with stable isotope data
Article first published online: 8 NOV 2011
© 2011 The Authors. Methods in Ecology and Evolution © 2011 British Ecological Society
Methods in Ecology and Evolution
Volume 3, Issue 2, pages 281–290, April 2012
How to Cite
Authier, M., Martin, C., Ponchon, A., Steelandt, S., Bentaleb, I. and Guinet, C. (2012), Breaking the sticks: a hierarchical change-point model for estimating ontogenetic shifts with stable isotope data. Methods in Ecology and Evolution, 3: 281–290. doi: 10.1111/j.2041-210X.2011.00162.x
- Issue published online: 4 APR 2012
- Article first published online: 8 NOV 2011
- Received 9 June 2011; accepted 21 September 2011 Handling Editor: Gabriel Bowen
- Bayesian methods;
- linear models;
- population ecology;
1. Stable isotopes are increasingly used in ecology to investigate ontogenetic shifts in foraging habitat (via δ13C) and in trophic level (via δ15N). These shifts are in essence an individual-level phenomenon, requiring repeated measures throughout the life of individuals, i.e. 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 δ13C and δ15N 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.