Mixing models in analyses of diet using multiple stable isotopes: a critique
Mixing models in analyses of diet using multiple stable isotopes: a critique
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DOI:
10.1007/s004420000571
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发表时间:
2001-01-01
期刊:
影响因子:
2.7
通讯作者:
Phillips, DL
中科院分区:
文献类型:
--
作者:
Phillips, DL
Stable isotope analysis is used frequently to determine the relative contributions of different food sources to an animars diet (Hobson 1999). Isotopie ratios for the animal tissues and each of its potential food sources are de-termined. The similarity of the ratios for the animal tissues with those of individual food sources (after correct-ing for fractionation during digestion and assimilation) gives an idea of their relative importance in the diet; in other words" you are what you eat"(DeNiro and Epstein 1978). Two food sources can be partitioned using the isotopie ratio for a single element (eg, 813C), or three food sources can be partitioned using isotopie ratios for two elements (eg, 513C and d15?)(Kwak and Zedler 1997). A number of recent papers have used geometric procedures to quantify the contributions of three food sources to the diet using 5I3C and d15?(Ben-David et al. 1997a, 1997b; Kline et al. 1993; Szepanski et al. 1999; Whitledge and Rabeni 1997). However, these methods do not provide correct solutions to this three-endmember mixing problem. The purpose of this paper is to point out the shortcomings of these methods and to propose an alternative procedure which avoids them. Figure 1 shows a graphical representation of the ana-lytical situation. The dietary isotopie composition is rep-resented by point D within the triangle bounded by the points for the adjusted food source isotopie compositions A', B\and C. In the geometric procedures, Euclidean distances are calculated for line segments DA', DB\and DC and are used to compute the dietary contributions. Several variations of this calculation have been utilized. Kline et al.(1993) used the following equation:?/? a-.?{DA!+ DB'+ DC)-OX\yt^??.