Abstract
Carbon and nitrogen stable isotope ratios are used to assess diet composition by determining bounds for the relative contributions of different prey to a predator’s diet. This approach is predicated on the assumption that the isotope ratios of predator tissues are similar to those of dominant food sources after accounting for trophic discrimination (ΔxX), and is formulated as linear mixing models based on mass balance equations. However, ΔxX is species- and tissue-specific and may be affected by factors such as diet quality and quantity. From the different methods proposed to solve mass balance equations, some assume ΔxX to be exact values whilst others (based on Bayesian statistics) incorporate variability and inherent uncertainty. Using field data from omnivorous reef fishes, our study illustrates how uncertainty may be taken into account in non-Bayesian models. We also illustrate how dietary interpretation is a function of both absolute ΔxX and its associated uncertainty in both Bayesian and non-Bayesian isotope mixing models. Finally, collated literature illustrate that uncertainty surrounding ΔxX is often too restricted. Together, these data suggest the high sensitivity of mixing models to variation in trophic discrimination is a consequence of inappropriately constrained uncertainty against highly variable ΔxX. This study thus provides guidance on the interpretation of existing published mixing model results and in robust analysis of new resource mixing scenarios.
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Acknowledgments
Funding was provided by a postdoctoral fellowship from Concejo Nacional de Investigación Científica y Técnica (CONICET) and CONICET/R09/639 (D.E.G.) and Natural Environment Research Council grant NE/D013437/1 (C.J.S.) and Agencia Nacional de Promoción Científica y Tecnológica PICT 2008-1433 (D.E.G.). Comments of A. Parnell (School of Mathematical Sciences, University College Dublin) on SIAR performance greatly improved the manuscript.
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Communicated by Robert Hall.
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Galván, D.E., Sweeting, C.J. & Polunin, N.V.C. Methodological uncertainty in resource mixing models for generalist fishes. Oecologia 169, 1083–1093 (2012). https://doi.org/10.1007/s00442-012-2273-4
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DOI: https://doi.org/10.1007/s00442-012-2273-4