Diet composition was estimated from polar bear adipose tissue fatty acid composition data (USGS 2023) using three methods, the original quantitative fatty acid signature analysis model (Iverson et al. 2004, McKinney et al. 2017) and two alternative methods based on recommendations by Bromaghin et al. (2015c, 2016ab, 2017).
Method 1: the Iverson et al. (2004) model, marine calibration coefficients from Thiemann et al. (2008), prey estimation space (Bromaghin et al. 2016a), Kullback-Leibler distance, fatty acid proportions of zero replaced with a value equal to 90% of the smallest non-zero proportion in the prey data, fatty acid signatures normalized to 1, and 31 dietary fatty acids: c16.2w6, c16.2w4, c16.3w6, c16.3w4, c16.4w3, c16.4w1, c18.2w6, c18.2w4, c18.3w6, c18.3w4, c18.3w3, c18.3w1, c18.4w3, c18.4w1, c20.1w11, c20.1w9, c20.1w7, c20.2w6, c20.3w6, c20.4w6, c20.3w3, c20.4w3, c20.5w3, c22.1w11, c22.1w9, c22.1w7, c21.5w3, c22.4w6, c22.5w6, c22.4w3, c22.6w3.
Method 2: the Iverson et al. (2004) model, all-marine calibration coefficients from Thiemann et al. (2008), predator estimation space (Bromaghin et al. 2016a), Aitchison distance, fatty acid proportions of zero replaced with a value equal to 90% of the smallest non-zero proportion in the prey data, fatty acid signatures augmented (Bromaghin et al. 2016b), and 30 dietary fatty acids: c16.2w6, c16.2w4, c16.3w6, c16.3w4, c16.4w3, c16.4w1, c18.2w6, c18.2w4, c18.3w6, c18.3w4, c18.3w3, c18.3w1, c18.4w3, c18.4w1, c20.1w9, c20.1w7, c20.2w6, c20.3w6, c20.4w6, c20.3w3, c20.4w3, c20.5w3, c22.1w11, c22.1w9, c22.1w7, c21.5w3, c22.4w6, c22.5w6, c22.4w3, c22.6w3. These are the same fatty acids used in Method 1, except 20:1w11 was excluded.
Method 3: the Bromaghin et al. (2017) model, predator estimation space (Bromaghin et al. 2016a), Aitchison distance, fatty acid proportions of zero replaced with a value equal to 90% of the smallest non-zero proportion in the prey data, fatty acid signatures augmented (Bromaghin et al. 2016b), and the same 31 dietary fatty acids used in Method 1: c16.2w6, c16.2w4, c16.3w6, c16.3w4, c16.4w3, c16.4w1, c18.2w6, c18.2w4, c18.3w6, c18.3w4, c18.3w3, c18.3w1, c18.4w3, c18.4w1, c20.1w11, c20.1w9, c20.1w7, c20.2w6, c20.3w6, c20.4w6, c20.3w3, c20.4w3, c20.5w3, c22.1w11, c22.1w9, c22.1w7, c21.5w3, c22.4w6, c22.5w6, c22.4w3, c22.6w3.