2010
DOI: 10.1890/09-1454.1
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A general hypothesis‐testing framework for stable isotope ratios in ecological studies

Abstract: Abstract. We propose a framework for hypothesis-testing of stable isotope ratios in ecological studies. Statistical procedures are based on analysis of nested linear models and a residual permutation procedure (RPP) that is employed to evaluate probabilities associated with test statistics. We used simulated examples and a real data set to illustrate the utility and generality of the method. First, we developed a test for differences in centroid location and dispersion of d 13 C and d 15 N values within and am… Show more

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Cited by 197 publications
(206 citation statements)
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“…Overall, there were 386 juvenile Chinook salmon that fitted our operational definition for equilibrium, with sample size of equilibrated juvenile Chinook sal mon ranging from 7 in CA to 144 in SEAK (Table S1). Due to low sample sizes of equilibrated N space, we tested for differences in isotopic niche position among regions using the residual permutation procedures outlined in Turner et al (2010). This method is based on Euclidean distance measures of each individual's position in bivariate δ 13 C−δ 15 N space (Turner et al 2010).…”
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confidence: 99%
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“…Overall, there were 386 juvenile Chinook salmon that fitted our operational definition for equilibrium, with sample size of equilibrated juvenile Chinook sal mon ranging from 7 in CA to 144 in SEAK (Table S1). Due to low sample sizes of equilibrated N space, we tested for differences in isotopic niche position among regions using the residual permutation procedures outlined in Turner et al (2010). This method is based on Euclidean distance measures of each individual's position in bivariate δ 13 C−δ 15 N space (Turner et al 2010).…”
mentioning
confidence: 99%
“…Due to low sample sizes of equilibrated N space, we tested for differences in isotopic niche position among regions using the residual permutation procedures outlined in Turner et al (2010). This method is based on Euclidean distance measures of each individual's position in bivariate δ 13 C−δ 15 N space (Turner et al 2010). We ran the procedure for 1000 iterations.…”
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confidence: 99%
“…We generated null distributions from residual permutation procedures to test for differences in these two metrics among species, and we considered them significantly different if the difference did not overlap zero (Turner et al 2010). …”
Section: Interspecific Isotopic Niche Variationmentioning
confidence: 99%
“…The isotopic niche is often visualised as bivariate plots of mean δ 13 C and δ 15 N values and variance estimates (Bearhop et al 2004). Statistical methods examining the dispersion of stable isotope values in xy-space (Layman et al 2007a, Turner et al 2010 include convex hull (Layman et al 2007a) and standard ellipse area (SEA) ; these aim to define a species' trophic niche in isotopic-space with each data point representing an individual's use of resources and habitat (Layman et al 2012). …”
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confidence: 99%
“…The parameters used to calculate and plot the SEA include: the lengths of the semi-major (a) and semi-minor (b) axes of the SEA; the angle in radians (θ) between a and the x-axis; the eccentricity (E) of the standard ellipse between 0 < E < 1, where E = 0 is a perfect circle and E → 1 indicates the standard ellipse becomes more elongated . Turner et al (2010) originally proposed the use of E as a measure of isotopic variability. However, E and θ have not been reported to date in relation to SEA and may help inform its ecological interpretation.…”
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confidence: 99%