δ34S values in water and sediments
Average values of δ
34S in sediment and aqueous

ranged from −13.04‰ to −3.43‰ and from −10.03‰ to −3.10‰, respectively, and absolute differences between these compartments were not consistent across lakes (
Fig. 1). The values for Arctic lake sediments overlapped with those of boreal lakes (∼−5‰ to −2‰, Quebec lakes;
Croisetière et al. 2009), but not with those of coastal hemiboreal systems (9.6‰–12.5‰, Nova Scotian lakes;
Clayden et al. 2017). In addition, δ
34S values of aqueous sulfate in the Arctic systems fell within the typical range of terrestrial biogenic and anthropogenic sulfur emissions (
Wadleigh et al. 1996) and did not overlap with those from either boreal or temperate systems (∼4‰–10‰ and 10.4‰–10.7‰, respectively), the latter of which closely matched that of

in precipitation (
Croisetière et al. 2009;
Clayden et al. 2017). Mean annual precipitation near these temperate lakes is almost 10-fold higher than at the Arctic lakes (1332 mm versus 150 mm, respectively;
Zhang et al. 2010;
Antoniades et al. 2011); therefore, it is likely that sulfur in precipitation influences the δ
34S values of aqueous

in more southerly lakes. Differences in aqueous δ
34S values may also be related to differences in bedrock geology among regions (
Hitchon and Krouse 1972).
In three of our remote study lakes, mean δ
34S values in sediments were more positive than those measured in the water column (
Fig. 1). However, in the wastewater-impacted Meretta and Resolute Lakes, aqueous δ
34S values of sulfate were 8.4‰ and 7.9‰ more positive than sedimentary values, respectively (
Fig. 1). At low temperatures (i.e., 5 °C), δ
34S values of sediments where sulfate reduction occurs are expected to be 8‰–14‰ lower than those of water sulfate values due to bacterial fractionation (
Canfield 2001); our results may therefore indicate enhanced SRB activity in these two systems, possibly due to the historical wastewater inputs altering the bacterial communities and cycling of nutrients (
Antoniades et al. 2011). Indeed, the %S values in the sediments were higher in Meretta and Resolute Lakes (0.19%–0.30%) when compared with three of the remote lakes (0.1%–0.12%), but not 9-Mile Lake, which had sediments with >0.4% (see
Table S11). Changes to the microbial community can alter sulfur cycling and different strains of SRB fractionate S isotopes at different rates (
Wing and Halevy 2014;
Bradley et al. 2016). Although the anthropogenic changes to bacterial communities in Meretta have been relatively well studied, any changes to the microbial community in Resolute Lake have not. Furthermore, the historical eutrophication of Meretta Lake may have created more favorable redox conditions in its sediments, enhancing sulfate reduction (
Holmer and Storkholm 2001).
An increase in SRB activity may explain why [MeHg] and % MeHg were 2–6 times higher in water samples from Meretta Lake when compared with the remote lakes and with downstream Resolute Lake (see
Fig. 1 and
Lescord et al. 2015b). Although [MeHg] in fish and chironomids were not higher in Meretta or Resolute Lakes compared with the remote lakes (
Lescord et al. 2015b), levels of MeHg in zooplankton from Meretta were four-fold higher than in all other lakes (
Table S1 of the
Supplementary Material1). This, in combination with the higher aqueous δ
34S values of sulfate and [MeHg], as well as more negative sediment δ
34S values, suggests that there could be enhanced Hg(II) methylation in Meretta Lake (
Canfield 2001;
Alpers et al. 2014). However, recent studies suggest that the rates and degree of fractionation of S isotopes due to SRB vary among bacterial strains/species (
Bradley et al. 2016). It is important to note that aqueous sulfate concentrations are very low in these high Arctic lakes (i.e., 0.23–1.35 mg/L across lakes and highest in the unaffected Small Lake); it is, therefore, likely that other processes (e.g., sulfurization;
Werne et al. 2008) are also affecting S and Hg cycling, respectively, in these systems.
The use of δ34S to differentiate between pelagic and benthic energy sources in Arctic lakes
Although δ
13C values indicated differences in the habitat use of zooplankton and chironomids in our study lakes (see
Lescord et al. 2015b), there was no consistent difference in δ
34S values between these groups (
Fig. 2A), which precluded the use of isotope mixing models to assess their relative importance in the diets of Arctic char. Delta
34S values were also not useful in distinguishing between benthic invertebrates and zooplankton as prey for fish in temperate coastal lakes (
Clayden et al. 2017). In our Arctic lakes, δ
13C values were more negative in pelagic zooplankton than benthic invertebrates in each lake (
Fig. 2B) and mixing models indicated that most or all of the carbon (≥76% across lakes) in the diet of char in these systems is derived from benthic rather than pelagic sources (
Lescord et al. 2015b), agreeing with the results of
Muir et al. (2005) and
Gantner et al. (2010) from the same lakes, and of
Swanson et al. (2010) for resident fishes from other coastal Arctic lakes. Our current results, therefore, suggest that δ
13C is a more useful indicator of diet sources for biota from high Arctic lakes than δ
34S, which contrasts with results from lakes in boreal Québec, Canada (
Croisetière et al. 2009) and those of estuaries in the western United States (
Willacker et al. 2017). Overall, far less is known about how δ
34S values respond to changes in S cycling and biogeochemical conditions when compared with δ
13C and carbon cycling. It is possible that physico-chemical factors such as temperature and dissolved oxygen concentrations (and, therefore, thermal and oxic stratification patterns), which vary greatly among temperate, boreal, and Arctic regions, influence S isotope fractionation and therefore its applications to food web delineation. Indeed, these ultra-oligotrophic lakes likely do not undergo seasonal stratification during summer months, which would change the anoxic cycling of S, Hg, and other variables when compared with more southerly systems.
Relationship between δ34S values and Hg concentrations in Arctic water and biota
Across all six Arctic lakes, average [MeHg] values in surface waters were positively related to the corresponding δ
34S values of aqueous

(LME
p = 0.022;
Fig. 3), which implies that lakes with
34S-enriched

had higher production of MeHg due to enhanced SRB activity using more of the
32S isotope, as discussed previously. MeHg concentrations from deep water samples, however, were not significantly related to their corresponding δ
34S values (
p = 0.645 and 0.487,
r2 = 0.027 and 0.049, respectively; data not shown). Because of their oligotrophic nature and lack of riparian cover, these high Arctic lakes do not stratify during the summer months (
Lescord et al. 2015b). It is possible that the relationship between δ
34S and [MeHg] in surface (but not deep) waters is due to the influence of spring snow- and ice-melt, which are important sources of Hg to high Arctic systems and alter

concentrations and δ
34S values in receiving waters (
Loseto et al. 2004;
Mörth et al. 2008;
Giesler et al. 2009). Our water samples were collected after the annual spring melt so it is possible the relationship between aqueous [MeHg] and δ
34S values of sulfate would change if samples were collected before ice-off. It is also unclear how photochemical reactions in snow or surface waters, which affect Hg retention and loss (
Mann et al. 2014), may affect

concentrations and δ
34S values of spring melt-water.
Total [Hg] in water showed no significant relationship with δ
34S values of aqueous

(LME
p = 0.129;
Fig. 3). However, this relationship is largely influenced by Meretta Lake and when removed, the negative relationship between aqueous THg concentrations and δ
34S became significant (LME
p = 0.040,
r2 = 0.506; not shown). Because the number of lakes examined in this study was low, we were not able to determine whether Meretta Lake’s influential data were indeed statistical outliers. Studies have shown that the lighter δ
34S of DOM complexes are reflective of a terrestrial-based carbon source and to aerobic conditions in riparian soils and limited S isotope fractionation by shoreline plants (
Giesler et al. 2009). DOM complexes are important transporters of Hg in aquatic systems; therefore, terrestrial organic matter increases aqueous [THg] in boreal streams and lakes presumably due to enhanced transport from riparian areas (
Teisserenc et al. 2011,
2014;
Eklöf et al. 2012;
Lescord et al. 2018). The negative relationship between δ
34S values of sulfate and aqueous THg in the current study may therefore reflect higher Hg input with greater terrestrial DOM. However, sulfur compounds, DOM, and Hg have complex biogeochemical interactions (e.g.,
Haitzer et al. 2002;
Ravichandran 2004) and further study is warranted to understand how these processes alter δ
34S values, particularly in ultra-oligotrophic Arctic systems.
Relationships between [MeHg] or [THg] and δ
34S values in biota varied among organisms in these high Arctic lakes. Benthic chironomids had positive relationships between their tissue [MeHg] and δ
34S (LME
p = 0.008;
Fig. 3), which is in contrast with the negative relationships between [MeHg] and δ
34S for several benthic macroinvertebrate taxa from temperate systems (
Clayden et al. 2017). However, zooplankton from these Arctic lakes showed a negative relationship between their [MeHg] and δ
34S values (
Fig. 3D). This relationship was significant after the removal of Meretta Lake, where
Daphnia sp. have been detected, which elevate MeHg in bulk zooplankton (
Chételat and Amyot 2009).
Daphnia sp. are only found in higher-nutrient Arctic systems and likely thrive in Meretta because of the historical anthropogenic eutrophication (
Chételat and Amyot 2009). Similar to benthic chironomids, both large and small char showed positive relationships between [THg] and δ
34S (LME
p = 0.008 and 0.027, respectively;
Figs. 3E and
3F). Other fish studies showed opposing log-THg versus δ
34S relationships between species from the same streams (
Schmitt et al. 2011), no relationships between these variables across lakes (
Ethier et al. 2008;
Clayden et al. 2017), or that δ
34S was a strong positive predictor of [THg] in fishes in estuarine wetlands (
Willacker et al. 2017). In the latter study, the authors attributed the positive relationship to the influence of marine S values as well as the presumed higher rates of Hg methylation and
34S enrichment due to SRB activity in impounded sites (
Willacker et al. 2017). The consistent, positive relationships between water [MeHg], invertebrate [MeHg], or fish [THg] and δ
34S values may also be related to SRB activity and suggest linkages between Hg and S cycling in these remote high Arctic systems. Studies examining the mechanisms behind these positive relationships are warranted and sampling of additional Arctic lakes would help determine whether the positive trends between biotic [THg] or [MeHg] and δ
34S found in this study occur more broadly.
The relationships between log
10[THg or MeHg] versus δ
34S values of food web organisms varied among lakes (ANCOVA: Lake × δ
34S interaction term
p = 0.002,
F = 4.240), with a positive slope in North Lake, a negative slope in Meretta Lake, and no significant slopes in the other four systems (
Fig. 4). These mixed relationships contrast with our previous findings in seven coastal temperate lakes, where relationships were consistently negative (
Clayden et al. 2017). It is important to note that the δ
34S values in temperate coastal lakes were generally more positive than those presented herein, which would extend the range in values on the
x-axis assessed. However, the mixed Hg–δ
34S relationships herein also contrast with the strong and consistent relationships between log-THg or MeHg and δ
15N through these food webs (
Lescord et al. 2015b) and other aquatic food webs worldwide (
Lavoie et al. 2013). Few studies have related [Hg] to δ
34S values in biota across a range of trophic levels and, in those that have, both the direction and strength of the relationships varied, particularly among regions. Our results from Arctic systems add to this mixed body of evidence and show that the [Hg]–δ
34S relationships in food webs can differ between similar lake ecosystems within a relatively small geographic area (i.e., ∼12 km). It is possible that various physical and chemical factors (e.g., nutrient content and anoxic habitat) may contribute to these differences, and more work is needed to investigate these effects. Interestingly, the two lake food webs that showed the strongest relationships between [Hg] and δ
34S had considerably different morphology: Meretta Lake was one of the smallest (0.39 km
2) and shallowest lakes (max depth = 9.2 m), whereas Resolute Lake was the largest (1.3 km
2) and one of the deepest systems (14.7 m) in our dataset.
Multiple isotopes as predictors of Hg concentrations in Arctic biota
Overall, the predictive models showed that various combinations of isotope and elemental measures (including the commonly used δ
15N
adj, and δ
13C as well as δ
34S, %N, %C, and %S) had a significant relationship with [THg] or [MeHg] in biota from these Arctic lakes. Not surprisingly, δ
15N values were a consistent positive predictor of all biotic [Hg], although this relationship was only significant in zooplankton and large char (
Table 1). In both large and small char models, the %S in biotic tissue was a positive predictor of [THg] (
Table 1,
Fig. S21), which may be related to the amount of S-containing amino acids, the dominant S-containing compounds in organisms (
Brosnan and Brosnan 2006), as they are strong protein-based binding sites for MeHg in tissues (
Peng et al. 2016;
Bradley et al. 2017). In addition, [THg] or [MeHg] concentrations were positively related to %S through the food webs of five lakes (linear models,
p < 0.001–0.003,
r2 = 0.396–0.894;
Supplementary Material1); the sixth lake, Small Lake, showed no significant relationship between [THg] or [MeHg] and %S (
p = 0.130,
r2 = 0.162;
Fig. S41). Interestingly, δ
15N values were positively related to %S measures in each of the six food webs (
p < 0.001–0.003,
r2 = 0.375–0.660;
Fig. S31), implying higher S-containing amino acid content with increasing trophic level. Delta
34S values were identified as predictors of [MeHg] or [THg] in invertebrates and small char, although their effect was weak (i.e., coefficients were small) and varied in direction (
Table 1). For example, [MeHg] in chironomids and small char were positively related to their tissue δ
34S, whereas zooplankton showed a negative relationship between the two variables (
Fig. 3). Other elemental measures were excluded from all models (i.e., %N;
Table 1) or had mixed relationships between models. Delta
13C values, for example, were only predictive of fish Hg, with higher [THg] in large char with more positive δ
13C values; this suggests increased Hg uptake in individuals with more benthic feeding.
Overall, these results imply that [Hg] values in Arctic biota are most strongly related to an organism’s trophic position (i.e., δ15N) but that measures of S content and δ13C also influence [Hg] in some groups of organisms. They further demonstrate the utility of modeling trophic interactions and contaminant transfer using multiple isotopic and elemental tracers, as they simultaneously suggest an increase in %S and [Hg] with trophic level, as well as the influence of S-cycling on Hg bioaccumulation in food webs of high Arctic lakes.