The rate at which an animal's tissues incorporate the isotopic composition of food determines the time window during which ecologists can discern diet changes. We investigated the effect of protein content in the diet on the incorporation rate of 15N into the plasma proteins and blood cells of Yellow-vented bulbuls (Pycnonotus xanthopygos). Using model comparison analyses, we found that one-compartment models described incorporation data better than two-compartment models. Dietary protein content had a significant effect on the residence time of 15N in plasma proteins and blood cells. The diet with the highest protein content led to a 15N retention time of 21 and 5 days for cells and plasma,respectively. In contrast, average 15N retention time in the cells and plasma of birds fed on the diet with the lowest protein was 31 and 7 days,respectively. The isotopic discrimination factorΔ 15N=δ15Ntissues–δ15Ndietwas also dependent on dietary protein content, and was lowest in birds fed the diet with the highest protein content. Blood, plasma and excreta were enriched in 15N relative to diet. In contrast, ureteral urine was either significantly depleted of 15N in birds fed the diet with the lowest protein content or did not differ in δ15N from the diets with the intermediate and high protein content. Thus, isotopic incorporation rates and tissue-to-diet discrimination factors cannot be considered fixed, as they depend on diet composition.

The measurement of naturally occurring carbon and nitrogen stable isotopes in animal tissues is a powerful tool in the study of dietary ecology. The isotopic composition of an animal reflects the isotopic composition of its diet in a predictable manner (DeNiro and Epstein, 1978; DeNiro and Epstein, 1981). However, after a diet change, the isotopic composition of an animal's tissues does not change instantaneously [Cerling et al. (Cerling et al., 2007) and references therein]. Different tissues incorporate the diet's isotopic composition at different rates (Tieszen et al., 1983). The differences in isotopic incorporation among tissues can be useful as tissues with fast incorporation rates reveal short time scale changes in diet, whereas tissues with slow incorporation rates integrate the isotopic composition of the diet over longer intervals(Pearson et al., 2003; Podlesak et al., 2005).

Tieszen et al. (Tieszen et al.,1983) hypothesized that tissues with high metabolic activity would also have high rates of isotopic incorporation. The notion of the existing relationship between animal basal metabolic rate (BMR) and its isotopic fractional turnover rate was challenged by Voigt et al.(Voigt et al., 2003) and Voigt and Matt (Voigt and Matt,2004). They studied carbon and nitrogen turnover rates in blood and wing membrane of two nectarivorous bat species (Leptonycteris curasoae and Glossophaga soricina), which have high mass-specific BMRs. Hence, it was expected that the isotopic fractional turnover rate of these species would also be high. Surprisingly, the turnover rates of both elements were found to be the lowest measured so far in a vertebrate. This study implies that N isotopic turnover rate might be unrelated to the animal's BMR as was commonly thought. However, the diets used in Voigt and colleagues' (Voigt et al.,2003) experiments had protein contents that were insufficient to meet the bat's requirements (Herrera et al., 2006), and the bats lost mass. When Mirón et al. (Mirón et al., 2006) fed Pallas' long-tongued bats (G. soricina)diets with adequate protein levels, they had much higher levels of isotopic incorporation than those reported by Voigt et al.(Voigt et al., 2003). The contrast between the results of Voigt et al.(Voigt et al., 2003) and Mirón et al. (Mirón et al.,2006) suggests that the dietary protein level is a controlling factor in the rate of isotopic incorporation.

The idea of a relationship between metabolic rate and both C and N isotopic incorporation rates was expanded upon by Carleton and Martínez del Rio(Carleton and Martínez del Rio,2005) who interpreted `high metabolic activity' as high rates of protein synthesis and catabolism. They tested the hypothesis that chronic cold exposure, and hence an increase in metabolic rate, would increase the isotopic incorporation rate of 13C and 15N in House sparrow(Passer domesticus) red blood cells. They found that despite an increased metabolic rate, cold exposure had no effect on 15N incorporation rate, and had only a small effect on 13C incorporation rate. They concluded that the relationship between metabolic rate and the rate of isotopic incorporation into an animal's tissue is indirect and probably mediated by protein turnover rate. Dietary proteins are known to have a regulatory effect on protein synthesis and degradation(Millward, 1989; Lobley, 2003). Physiologists have documented increases in protein synthesis resulting from increased protein intake in fish (Millward,1989; Houlihan et al.,1995), domestic chickens (Dror et al., 1997) and mammals(Yahya et al., 1994; Wessels et al., 1997; Williams et al., 2001),including humans (Foulliet et al.,2001). Hence, we should expect to find a correlation between protein intake and N fractional isotopic turnover rate.

We conducted a feeding experiment on captive Yellow-vented bulbul(Pycnonotus xanthopygos), a frugivorous bird of the Old World, to test the conjecture that dietary protein influences the rate of isotopic incorporation. Birds received diets that had similar caloric values and similar δ15N isotopic signatures but varied in their protein content. Hence, we could isolate the effect of dietary elemental concentrations on fractional N isotopic turnover rate in tissues. The goals of the experiment were to determine the effect of protein intake on: (1) nitrogen fractional turnover rate of red blood cells and plasma, and (2)δ 15N tissue–diet discrimination factors of blood cells,plasma, excreta and ureteral urine. We hypothesized that the N fractional isotopic turnover rate and the δ15N tissue–diet discrimination factors would increase with increasing protein intake. The depletion in 15N in nitrogenated excreted products has often been invoked as the cause of the tissue-to-diet enrichment in 15N(Minagawa and Wada, 1984; Martínez del Rio and Wolf,2005). Thus, we also hypothesized that both ureteral urine and excreta would be depleted of 15N relative to diet.

Isotopic incorporation data are commonly analysed using simple,one-compartment models, with first-order kinetics(Carleton and Martínez del Rio,2005; Mirón et al.,2006; Cerling et al.,2007). Cerling et al. (Cerling et al., 2007) challenged the use of these models and championed the use of more complex multi-compartment models. We used our data and information theoretic model comparison methods to evaluate Cerling and colleagues' (Cerling et al.,2007) claim (Stephens et al.,2007). We used Akaike's information theoretic criteria to assess whether evidence supported the use of one-compartment or two-compartment models.

Bird capture, care and maintenance

Thirteen Yellow-vented bulbuls Pycnonotus xanthopygos(Pycnonotidae; Hemprich and Ehrenberg 1833), mean body mass(Mb) 36.5±0.6 g, were used in the experiments. Yellow-vented bulbuls are not sexually dimorphic and we did not determine the sex of the individuals in our experiment. Birds were mist-netted 1 month before the experiment in Sde-Yaakov, northern Israel (under license from the Israel Nature and National Parks Authority). Birds were housed in individual cages (110 cm × 60 cm × 100 cm), in a room maintained at 25±2°C with a photoperiod of 12 h:12 h light:dark. The bottom of the cages was covered with paper that was changed daily. All birds received a standard maintenance banana-mash diet [based on Denslow et al.(Denslow et al., 1987)], with soy protein as a protein source (soy diet, Table 1) for 75 days. To prevent a difference in the isotopic signature of the diet during that time,we used the same batch of bananas. All bananas were mixed using a blender,divided into portions and frozen. Every 3 days, one bag was thawed and the rest of the experimental ingredients were added. We used the same batch of each ingredient throughout the experiment; each was mixed prior to the experiments so that the diet throughout the experiment would have the same isotopic signature (casein protein, sodium chloride and calcium phosphate,Sigma Chemical Co., St Louis, MO, USA; soy protein–ARDEX® F dispersible isolated soy protein 066-921, Archer Daniels Midland Co., IL, USA;vitamin mix Omni-vit, Orlux, Belgium). The birds received 100 g of wet food every day and water was provided ad libitum.

Diet shift experiment

After consuming the first diet for 75 days, birds were divided randomly into three groups; each bird received a diet containing a different amount of casein protein (5 birds – low protein, 4 birds – medium protein, 4 birds – high protein; Table 1). Our diets fully satisfied the bird's nitrogen requirements(Tsahar et al., 2005). Again,we used the same batch of each ingredient during the experiment; each was mixed prior the experiments so that the diet throughout the experiment would have the same isotopic signature. The birds received the second diet for 95 days. Blood and excreta samples were taken on the day prior to the dietary switch (day 0) and then on days 2, 4, 9, 21, 35, 57, 80 and 95 of consuming the casein diet. Blood was collected (∼100 μl) in heparinized microhaematocrit tubes by puncturing the brachial vein with a 28 gauge needle. Plasma was separated from cells after centrifugation (micro-haematocrit centrifuge model CL A4922X-1, International Equipment Co., Needham Heights,MA, USA) for 3 min. Ureteral urine samples were collected on day 95 by briefly inserting a closed-ended perforated cannula(Goldstein and Braun, 1989),custom-made of polyethylene tubing (PE200), into the bird's cloaca. On the same day, we also collected excreta samples for 24 h. Body mass was measured every sampling day. Both excreta and ureteral urine were collected and stored in a dilute (0.001 N) HCl solution. Birds were released at the capture site upon completion of the experiment. Samples were kept frozen (–20°C)until the end of the experiment. Plasma and blood cells were spread on glass slides and oven dried for 3–4 days at 50°C. All dried samples were scraped from the glass using a razor blade, and homogenized using a mortar and pestle.

All samples were ground into a fine powder before being loaded (30–70μg) into tin capsules. Isotope ratios of food were measured in a continuous flow isotope ratio mass spectrometer (Finnigan Delta+XP, University of Wyoming's Light Stable Isotope Facility) with samples combusted in a Costech elemental analyser. The precision of these analyses was ±0.2‰for both isotopes. Our standards were peptone(δ15N=5.60‰, AIR, USGS40 8542) and glycine(δ15N=0.73‰, AIR, IAEAN2). We included standards in every run to correct raw values obtained from the mass spectrometer. Stable isotope ratios were expressed using standard delta notation(δ15N) in parts per million (‰) as:
\[{\delta}^{15}\mathrm{N}=(R_{\mathrm{sample}}{/}R_{\mathrm{standard}}-1){\times}1000,\]
where Rsample and Rstandard are 15N/14 N ratios of the sample and the reference,respectively. Samples were referenced against atmospheric nitrogen (AIR). Table 2 lists the isotopic composition of our diet's ingredients.

Statistical analyses

Preliminary diagnoses on the use of one- or two-compartment models were performed using Cerling and colleagues'(Cerling et al., 2007)reaction-progress approach. Briefly, we plotted ln(1–F), where(1–F)=[δ15N(t)–δ15N(∞)]/[δ15N(0)–δ15N(∞)]against time and assessed visually whether a single line or more than one line was needed to describe the data. Isotopic incorporation data were then fitted using a non-linear fitting routine (JMP®, version 6.0, SAS Institute,Cary, NC, USA) to either one- or two-compartment models using the following equations, respectively:
\[\ {\delta}^{15}\mathrm{N}(t)={\delta}^{15}\mathrm{N}({\infty})-[{\delta}^{15}\mathrm{N}({\infty})-{\delta}^{15}\mathrm{N}(0)]\mathrm{exp}-(1{/}{\tau})\mathrm{time}\]
(1)
and
\[\ {\delta}^{15}\mathrm{N}(t)={\delta}^{15}\mathrm{N}({\infty})-[{\delta}^{15}\mathrm{N}({\infty})-{\delta}^{15}\mathrm{N}(0)][p\mathrm{exp}-(1{/}{\tau}_{1})\mathrm{time}+(1-p)\mathrm{exp}-(1{/}{\tau}_{2})\mathrm{time}],\]
(2)
where δ15N(0) and δ15N(∞) represent the initial and asymptotic nitrogen isotopic compositions. Eqns 1 and 2 differ slightly from those used in most isotopic incorporation studies(Carleton and Martìnez del Rio,2005; Mirón et al.,2006; Cerling et al.,2007) in their use of the reciprocal of the fractional incorporation rate (τi=1/k, days) as a parameter to describe incorporation rate. We chose to use this parameter for two reasons:(1) it has a clear intuitive interpretation as the average retention (or residence) time of 15N for the one-compartment model, and (2) the non-linear routine used in our analysis gave asymptotic s.e.m. estimates. In previous studies, such as those listed above, researchers estimated the fractional rate of incorporation (k=1/τ) and used it to estimate the half-life of an element in a tissue(t1/2=τ×ln(2)=ln(2)/k). This approach does not allow for estimates of uncertainty in the calculation of these half-lives. Our approach allows estimates of uncertainty in the calculation of the parameter that isotopic ecologists care about – how long does an element stay in a tissue? To assess the weight of evidence in favour of a one-or a two-compartment model, we compared the Akaike's information criteria corrected for small samples (AICc) of the two models and chose the model with the lowest AICc value (Burnham and Anderson, 2002). Burnham and Anderson(Burnham and Anderson, 2002)propose using the difference in AICc(Δi=AICci–AICcmin, where AICcminis the lowest value in a comparison) as a measure of the plausibility of an alternative model. They suggest that high values of Δi (Δi>2)indicate low support for the alternative model [see p. 70 in Burnham and Anderson (Burnham and Anderson,2002)]. If AICc revealed that the weight of evidence supported a one-compartment model, we used τ as an estimate of average retention time, whereas if it supported a two-compartment model, we estimated average retention time as:
\[\ {\tau}_{2}=p{\tau}_{1}+(1-p){\tau}_{2}.\]
(3)
We estimated isotopic discrimination (Δ15N) asδ 15N(∞)tissues–δ15Ndiet. Finally, we examined the effect of protein content in the diet on average 15N retention time and Δ15N (defined asΔ 15N=δ15Ntissues–δ15Ndiet)with one-way analysis of variance followed by Tukey–Kramer multiple comparisons among means (P<0.05). We used one-sample Student's t-tests to compare the δ15N of plasma, cells,excreta and ureteral urine with that of diet.

The reaction progress variable plots are shown in Fig. 1 and demonstrate that at most two compartments are needed to describe the data. The method, however,does not allow clear determination of whether the data support a one- or two-compartment model. In all cases, AICc supported the one-over the two-compartment model. Δi values ranged from 2.1 to 15.8, suggesting little support for the two-compartment model. Consequently, we used τ to characterize the residence time of 15N in plasma and blood cells. The one-compartment model was not only better than the two-compartment model but it also described the data adequately well(r2>0.94; Fig. 2).

The protein content of the diet had a significant effect on the residence time of 15N (F2,10=5.54 and F2,10=4.73, P<0.05, for cells and plasma,respectively; Fig. 3). As predicted, 15N residence time was higher when birds ate the diet with the lower protein content. Dietary protein content also had a significant effect on Δ15N (F2,10=7.53 and F2,10=9.58, P<0.01, for cells and plasma,respectively; Fig. 4).Δ 15N did not differ between the diets with low and medium protein, but was significantly lower in the diet with the highest protein content (Fig. 4). Blood, cells and excreta were enriched in 15N relative to diet (one-sample t>13, P<0.01; Fig. 5). In contrast, urine was either depleted of 15N relative to diet (low protein diet, t=2.8, P<0.05; Fig. 5) or did not differ significantly from diet (medium and high protein diets, t=0.4 and 0.04, P>0.5, respectively; Fig. 5).

In Yellow-vented bulbuls, the protein content had a significant effect on both the incorporation rate (and hence the residence time) of 15N and the isotopic discrimination factors between tissues and diet. Our results also suggest that for plasma and cells, one-compartment models were better supported than more complex two-compartment models. Here we first discuss the advantages of using model comparison approaches over the graphical reaction progress variable approach proposed by Cerling et al.(Cerling et al., 2007). We then consider the possible physiological mechanisms that lead to both higher 15N incorporation and lower Δ15N with higher protein intake. Finally, we consider the implications of the effect of protein intake on isotopic incorporation for the interpretation of ecological isotopic data.

One, two,... How many compartments?

Isotopic ecologists have three questions in mind when they conduct an isotopic incorporation experiment. (1) On average, what is the residence time of an isotope in a tissue? (2) How much confidence can we place on this estimate? (3) What are the factors that influence its value? Biologists conduct isotopic incorporation studies on captive animals to answer these three questions. Thus, the central parameter of interest that results from isotopic incorporation experiments is the average retention time (τ),which can easily be transformed into the more widely used half-life{t1/2=τ[ln(2)](Carleton and Martínez del Rio,2005)}. In our study, the average retention time of 15N in blood cells was almost fourfold longer than that in plasma. In Yellow-vented bulbuls the isotopic composition of plasma is informative about diet changes at the scale of less than a week, whereas cells reveal patterns of resource use at the scale of from 20 days to a month.

Until recently, most isotopic incorporation studies used first-order,one-compartment models (Eqn 1) to describe isotopic incorporation data(Martínez del Rio and Wolf,2005). Recently, Cerling et al.(Cerling et al., 2007)questioned the general use of these simple models and proposed the use of an alternative graphical approach to diagnose whether a data set revealed whether models with more than one compartment/pool are needed to describe an isotopic incorporation data set. This method is potentially important because using the wrong model can lead to erroneous estimation of average residence time. Cerling's approach relies on `linearizing' the isotopic incorporation data and using least-squares linear regression on the resulting linear segments to estimate the relative size of each pool/compartment and its`decay'/incorporation constant (Fig. 1) (Ayliffe et al.,2004).

Although the need to use the correct model to describe isotopic incorporation data is undeniable, the method proposed by Cerling et al.(Cerling et al., 2007) has several shortcomings: (1) it does not allow an estimate of an isotope's retention time (and a measure of how much confidence we can place in it) to be derived; (2) one has to identify the linear segment for each component/pool visually; (3) it relies on log-transforming data, which often leads to biased estimation (Motulsky and Ransnas,1987); and (4) there is no quantitative criterion that permits the finding out of whether one should use one, two or more compartments. Using non-linear regression procedures to fit incorporation data to models of increasing complexity overcomes problems 2 and 3(Bates and Watts, 1988). These models are widely available in most statistical analysis packages. For one-compartment models, the output of these programs includes various estimates of standard error for τ that can then be used to estimate a confidence interval (e.g. Motulsky and Christopoulos, 2003). For more complex, multi-compartment models, Eqn 3 can be used to estimate average retention time (C.M.d.R. and R. A. Sprecher, unpublished observations).

To overcome problem 4 we used the information theoretic approach advocated by Burnham and Anderson (Burnham and Anderson, 2002) and widely adopted in ecological studies(Hobbs and Hilborn, 2006). This approach has a strong theoretical foundation and is based on the idea that we should adopt parsimonious models, which avoid under- and over-fitting and give accurate approximations to the interpretable information in the data available (Anderson and Burnham,2001). Our data supported the use of one-compartment over two-compartment models for plasma and blood cells in Yellow-vented bulbuls.

How does protein intake influence isotopic incorporation rate?

In Yellow-vented bulbuls, protein intake had a significant effect on both 15N incorporation rate andΔ 15Ntissue–diet. Birds that consumed more protein had significantly higher 15N incorporation rates and lowerΔ 15Ntissue–diet. Carleton and Martínez del Rio (Carleton and Martínez del Rio, 2005) hypothesized that protein turnover was a primary determinant of isotopic incorporation. If this hypothesis is correct, then the same factors that influence protein turnover should influence isotopic incorporation. Protein intake influences protein turnover through the action of catabolic (glucagon, adrenaline and cortisol) and anabolic hormones [insulin, IGF and growth hormone (reviewed by Waterlow, 2006)]. The secretion of these hormones appears to be mediated by circulating amino acid concentrations, which in turn are influenced by diet composition(Waterlow, 2006). The differences in 15N incorporation rate among diets observed in Yellow-vented bulbuls is consistent with the idea that protein turnover is a determinant of isotopic incorporation rates.

Muramatsu et al. (Muramatsu et al.,1987) reported an increase in protein turnover with protein intake at modest levels of protein intake in chickens. In these animals, the effect of protein intake on both synthesis and catabolism was independent of protein intake at high protein intakes (Muramatsu et al., 1987). Similarly, in blood cells isotopic incorporation rate (as estimated by 15N retention time) increased from the low to the medium diet, but did not differ between the diets with medium and high protein levels. Tsahar et al. (Tsahar et al., 2005) estimated the maintenance nitrogen requirement (MNR)for Yellow-vented bulbuls as ∼8.2 mg N per day. From daily consumption measurements, we estimated that the daily nitrogen intake of birds on the low protein diet was ∼97 mg N per day, which is more than an order of magnitude higher than their MNR. We expect the effect of protein intake on isotopic incorporation rate to be greater at lower nitrogen intakes, when N intake rates approach MNR.

Our results were contrary to an assumption widely invoked in the stable isotope literature: if animals satisfy isotopic mass balance, thenΔ 15Ntissue–diet can only be positive if (1)the δ15N of excreted nitrogen is more negative than that of tissues (Minagawa and Wada,1984; Ponsard and Averuch,1999), and (2) at steady state, the δ15N of excreted products is equal to that of diet(Martínez del Rio and Wolf,2005). Although we found that the δ15N of excreted nitrogen was more negative than that of tissues, in all cases theδ 15N of excreted nitrogen was significantly more positive than that of diet (Fig. 5). Theδ 15N of ureteral urine was, as expected, either more depleted of 15N than diet or had the same δ15N as diet. How can we explain the widely observed positive value ofΔ 15Ntissue–diet if excreted nitrogen has a more positive value than diet? And, how can we explain the difference inδ 15N between excreta and ureteral urine? There are two alternative/complementary explanations: (1) isotopically light ammonia may have been lost during the collection of excreta samples but not during the collection of ureteral urine, and (2) birds lost isotopically light nitrogen from ureteral urine through an unidentified venue.

Because excreta and urine samples were collected in an HCl solution (pH∼3) which `traps' ammonia by turning it into ammonium chloride, the first explanation seems unlikely. The second explanation invokes an unknown `sink'of isotopically light nitrogen. We speculate that this sink is ammonia lost as a gas through respiratory epithelia. Tsahar et al.(Tsahar et al., 2005)demonstrated that in Yellow-vented bulbuls the amount of uric acid and ammonia excreted in ureteral urine is much lower than the amount lost in excreta. These authors suggested that these compounds are re-absorbed in the lower gut as a mechanism of nitrogen conservation. It may be that Yellow-vented bulbuls reabsorb isotopically light uric acid and ammonia preferentially, which would explain the difference between the δ15N of urine and excreta. Some of the absorbed, isotopically light, ammonia may be then lost in breath. In humans, a significant amount of ammonia is lost in exhaled air, and ammonia levels in breath are routinely measured to diagnose renal diseases and Helicobacter pylori infection(Smith et al., 1999; Narasimhan et al., 2001; Kearny et al., 2002). Although this hypothesis is admittedly speculative, it has the virtue of being testable. It requires measuring the contribution of exhaled nitrogen losses to nitrogen balance and the isotopic composition of ammonia in breath. Although the 15N trophic enrichment between tissues and diet is of enormous value to ecologists (Roth and Hobson,1999; Post, 2002),explaining its magnitude remains an unsolved problem for physiologists (Gannes et al., 1998; Adams and Sterner,2000; Robbins et al.,2005).

Ecological implications

The rate at which a tissue incorporates the isotopic signal of a diet determines the time window during which ecologists can discern diet changes(Pearson et al., 2003; Podlesak et al., 2005). The almost fourfold difference in isotopic incorporation between plasma and blood cells is useful as it allows the finding out of diets at two contrasting scales. Plasma will reveal the isotopic composition of foods eaten over the last few days, whereas blood cells will reflect the average composition of foods incorporated over approximately a month(Hobson and Clark, 1992; Norris et al., 2004; Dalerum and Angerbjörn,2005). Blood cells and plasma are particularly valuable tissues in isotopic studies because sampling them is minimally invasive(Norris et al., 2005).

Previous research documented the effect of tissue type(Hobson and Clark, 1992; Dalerum and Angerbjörn,2005; Podlesack et al., 2005), growth rate(Fry and Arnold, 1982; MacAvoy et al., 2005) and body mass (Carleton and Martínez del Rio,2005) on isotopic incorporation rate. Our results suggest that the level of dietary protein also plays a role. Although we only documented an effect on plasma and blood cells, two tissues commonly used in ecological studies [Norris et al. (Norris et al.,2005) and references therein], it is likely that protein intake influences the rate of isotopic incorporation in other tissues as well. The effect of protein intake seems to be biologically significant. The average retention time of 15N in birds fed on the low protein diet was longer than that of birds fed on the high protein diet by 136% and 160% for cells and plasma, respectively. Our results support Mirón M. and colleagues' (Mirón et al.,2006) conjecture that protein intake influences isotopic incorporation rates and suggests that the anomalously long isotopic retention times found by Voigt et al. (Voigt et al.,2003) in nectar-feeding bats were the result of an experimental diet with almost no protein. Our results demonstrate the effect of dietary protein on isotopic incorporation in a single species. We hypothesize that this effect may also be found among other species, and that species with low protein intakes such as nectarivores and frugivores will have lower rates of isotopic incorporation than species with high protein intakes, such as carnivores (Tsahar et al.,2006). If our speculation is correct, isotopic field studies may have to be informed by the dietary natural history of the animals studied,including their seasonal diet changes.

LIST OF ABBREVIATIONS AND SYMBOLS

     
  • AICc

    Akaike's information criteria corrected for small samples

  •  
  • BMR

    basal metabolic rate (W)

  •  
  • C

    carbon

  •  
  • F

    reaction process variable

  •  
  • k

    fractional rate of isotopic incorporation(day–1)

  •  
  • Mb

    mean body mass (g)

  •  
  • MNR

    minimal nitrogen requirement (mg N day–1)

  •  
  • N

    nitrogen

  •  
  • R

    ratio of molar abundance of heavy to light isotope

  •  
  • δ15N

    (Rsample/Rstandard–1)×1000,where Rsample and Rstandard are 15N/14N ratios of the sample and the reference,respectively (‰)

  •  
  • Δ15Ntissue–diet

    tissue-to-diet discrimination factor (‰)

  •  
  • Δi

    difference in AICc(Δi=AICci–AICcmin)

  •  
  • τ

    estimate of average retention time (days)

We thank Bradley Hartmann Bakken, Christian Voigt and Keith A. Hobson for constructive comments on this manuscript. Richard Anderson Sprecher helped us with statistical analysis. C.M.d.R. and N.W. were funded by a US National Science Foundation grant (IBN 0114016).

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