Contents lists available at ScienceDirect Journal of Archaeological Science journal homepage: www.elsevier.com/locate/jas Combined influence of meteoric water and protein intake on hydrogen isotope values in archaeological human bone collagen Christine A.M. Francea,∗, Haiping Qib, Gwénaëlle M. Kavicha a Smithsonian Museum Conservation Institute, 4210 Silver Hill Rd., Suitland, MD, USA bUnited States Geological Survey, 12201 Sunrise Valley Dr., Reston, VA, USA A R T I C L E I N F O Keywords: Bone Collagen Hydroxyapatite Hydrogen Oxygen Nitrogen Isotopes A B S T R A C T Hydrogen isotopes in archaeological human bone collagen are poorly understood, but present an opportunity to add new depth to our understanding of ancient populations. The competing influences of meteoric water versus protein intake on human bone collagen hydrogen isotope values were examined through comparison with the well-understood proxies of hydroxyapatite oxygen and collagen nitrogen isotopes, respectively. Consideration of the data set as individual points compared to averaged pools of individuals in each of 11 archaeological sites suggested the latter partially eliminates inherent variability due to food choice or regional movement. Collagen hydrogen isotopes were moderately correlated with hydroxyapatite oxygen isotopes (R= 0.695, site averages) and collagen nitrogen isotopes (R=0.562, site averages). Correlation improved with a multiple linear regres- sion including both oxygen and nitrogen (R=0.745, site averages). Correlation between meteoric water hy- drogen and oxygen isotope values converted from hydroxyapatite and collagen values, respectively, yielded a slope well below the expected value of ∼8 observed directly in meteoric water (i.e. the “meteoric water line”). Correlation between converted meteoric water hydrogen and the measured collagen non-exchangeable hydrogen isotope values showed a slope well below the expected value of 1.0. Theoretical meteoric water hydrogen isotope values and theoretical herbivorous collagen hydrogen isotope values were calculated based on previously es- tablished equations in order to construct a hypothetical framework free of trophic level influences. Deviations between actual values and these theoretical values correlated weakly with collagen nitrogen isotope values, suggesting that direct trophic level enrichment/depletion is not controlling the disparity between expected and measured values. The deviations are hypothetically caused by non-local food sources, and a decoupling of ex- pected oxygen and hydrogen relationships as individuals consumed more meat and decreased in vivo non- essential amino acid production. This work presents a new model that facilitates understanding of the complex relationship between meteoric water and protein intake controls on hydrogen isotopes in omnivorous human populations that can potentially inform about past meteoric water values and amounts of animal protein con- sumption. 1. Introduction Stable isotope analysis of bones is relatively common in archaeology and paleontology to determine dietary components, provenance, mi- grations, climate proxies, metabolic functioning, and social demo- graphics. Several decades of research have established a solid under- standing of stable carbon, nitrogen, and oxygen isotope dynamics in archaeological bone collagen and hydroxyapatite. Hydrogen isotopes in bone have been addressed only recently. The routing of hydrogen into bone collagen in particular is less well-understood, but presents new options for understanding archaeological remains. Hydrogen isotopes have been examined more thoroughly in tissues which are similar to the collagen protein and can serve as basic com- parisons. Keratin (i.e. feathers, claws, nails) has been studied most heavily, although blood, muscle, lipids, and other organ tissues have been examined as well (Chesson et al. 2009, 2011; Hobson et al., 1999; Tuross et al., 2008; Wolf et al., 2011). Hydrogen is routed to keratin from both dietary food and drinking water, where the former pathway provides trophic information and the latter indicates latitudinal pro- venance (Bowen et al., 2005, 2009; Ehleringer et al., 2008; O'Brien and Wooller, 2007; Sellick et al., 2009). Where some studies suggest keratin hydrogen isotopes largely reflect drinking water isotope values (Hobson et al., 1999, Wolf et al., 2011), others suggest secondary dietary hy- drogen input as well (Bowen et al., 2009; Ehleringer et al., 2008; https://doi.org/10.1016/j.jas.2018.05.011 Received 8 August 2017; Received in revised form 22 May 2018; Accepted 26 May 2018 ∗ Corresponding author. E-mail address: francec@si.edu (C.A.M. France). Journal of Archaeological Science 96 (2018) 33–44 Available online 01 June 2018 0305-4403/ Published by Elsevier Ltd. T Kirsanow and Tuross, 2011; Pietsch et al., 2011). Bulk blood, muscle, lipid, and organ hydrogen isotope values reflect largely drinking water sources (Chesson et al., 2011; Hobson et al., 1999; Wolf et al., 2011), although dietary input may have some influence (Commerford et al., 1983). While this previous research provides background for under- standing hydrogen isotopes in bone collagen, keratin and other tissues have a more rapid turnover, a fundamentally different structure, and potentially different hydrogen sources rendering them inadequate proxies for collagen. Collagen is the primary protein in animal bones and includes hy- drogen atoms bound to carbon, or bound within carboxyl, amide, and minimal sulfhydryl side-groups. These side-group hydrogen atoms are labile and exchange with hydrogen from other water sources. The more stable carbon-bound hydrogen atoms comprise a calculated fraction of 0.742–0.829 (majority 0.77–0.81) of all hydrogen atoms in collagen (Cormie et al. 1994b, 1994c; Leyden et al., 2006; Sauer et al., 2009; Topalov et al., 2013) and are generally non-exchangeable with external water sources. The total (i.e. TOT) hydrogen isotope composition of bone collagen (i.e. COLL) can be represented as δ2HCOLL-TOT = (1-f) *δ2HCOLL-NEX + f *δ2HCOLL-EX where f represents fraction of exchangeable hydrogen (i.e. ∼0.19- 0.23), δ2HCOLL-NEX represents the isotope value of non-exchangeable hydrogen atoms, and δ2HCOLL-EX represents the isotope value of ex- changeable hydrogen atoms. Isotope values are in standard delta no- tation: δX= [(Rsample – Rstandard)/Rstandard] where R is the ratio (i.e. 2H/1H), values are in parts per thousand (‰), and the standard is V-SMOW. The δ2HCOLL-NEX represents the isotope signal incorporated via water or dietary food and can be considered with a general conceptual fra- mework: δ2HCOLL-NEX = (δ2Hingested water + εa) + (δ2Hdietary amino acids + εb). The δ2Hingested water represents δ2H of water taken into the body via food water or direct drinking and incorporated into amino acids syn- thesized in vivo during collagen construction (i.e. “non-essential” amino acids). The εa represents hydrogen isotope fractionation during this process. The δ2Hdietary amino acids represents δ2H of amino acids synthesized ex vivo and are incorporated directly from consumed dietary proteins (i.e. “essential” amino acids). The εb represents sub- sequent fractionation as these amino acids are incorporated into col- lagen, although this value is suspected to be minimal and constant within a given species. Cormie et al. (1994a), Cormie et al. (1994c) and Chesson et al. (2011) present a thorough review of factors contributing to bone collagen δ2Hingested water, εa, δ2Hdietary amino acids, and εb; addi- tional insight is gained from detailed discussions of keratin hydrogen incorporation (Ehleringer et al., 2008; Bowen et al., 2009). A relatively strong linear correlation between δ2Hingested water and δ2HCOLL-NEX exists in strict herbivores obtaining all dietary fractions (i.e. amino acids, carbohydrates, water) from plants. Since leaf and stem δ2H values reflect local precipitation δ2H values, the herbivore δ2HCOLL-NEX correlates with these local precipitation δ2H values (Cormie et al. 1994a, 1994c; Pietsch et al., 2011; Reynard and Hedges, 2008). Hydrogen isotope values in herbivore bone collagen can be considered with the simpler representation of δ2HCOLL-NEX= δ2Hingested water + εa. Carnivores tend to show an apparent trophic level effect where δ2HCOLL- NEX deviates from the expected correlation with δ2Hingested water (Birchall et al., 2005; Pietsch et al., 2011; Reynard and Hedges, 2008; Topalov et al., 2013; Tuross et al., 2008). This is due likely to the ad- ditional δ2Hdietary amino acids variable which can show considerable range depending on the type and amount of animal protein consumed. Humans present a complex case of omnivory. Limited research examining human collagen δ2H values suggests a combination of in- gested water and dietary input (Reynard and Hedges, 2008), which agrees with limited data from other omnivorous mammals (Reynard and Hedges, 2008; Tuross et al., 2008). As archaeological human re- mains are of high interest, examining human collagen δ2H could pro- vide another dimension by which to examine dietary input and inges- tion of environmental water in a uniquely coupled pathway. It has the potential to contribute additional information to the study of geo- graphic origin, migrations, and dietary choices or available foods. This study uses the well-known relationships of bone nitrogen and oxygen with trophic structure and meteoric water, respectively, to ex- plore these mechanisms’ effects on δ2HCOLL-NEX. Nitrogen in collagen (i.e. δ15NCOLL) is represented in standard delta notation as indicated previously where R is15N/14N and the standard is atmospheric air. The δ15NCOLL increases approximately 3–4‰ with trophic level (Bocherens and Drucker, 2003; DeNiro and Epstein, 1981; Schoeninger and DeNiro, 1984) providing a proxy for amount and type of dietary protein intake. Oxygen is found in the hydroxyapatite mineral fraction of bone in both the phosphate (i.e. PHOS) and carbonate (i.e. CARB) sites. Phosphate and carbonate oxygen isotopes (i.e. δ18OPHOS and δ18OCARB) are re- presented in standard delta notation where R is 18O/16O and the stan- dard is V-SMOW. Both δ18OPHOS and δ18OCARB correlate with drinking water isotopes (Bryant and Froelich, 1995, Daux et al., 2008, Kohn, 1996, Longinelli, 1984, Luz and Kolodny, 1985, Luz et al., 1984) pro- viding a proxy for geographic locality. The δ18O and δ2H values of meteoric water (i.e. MW) are strongly correlated according to the known meteoric water line: δ2HMW = 8 *δ18OMW +10 (Craig, 1961; Kendall and Coplen, 2001). In the absence of dietary influence, the δ2HCOLL-NEX is expected to correlate to δ18OPHOS and δ18OCARB with a similar slope to that of the meteoric water line. Deviations from this end member were compared to associated δ15NCOLL values, and multiple linear regression models constructed to determine the combined re- lative influence of ingested water and dietary proteins on the δ2HCOLL- NEX values. Combinations of δ2H and δ18O values in bone collagen have been used to examine herbivores, but this study adds to the sparser comparisons with δ15N, omnivores, and carnivores (Cormie et al., 1994a; Kirsanow and Tuross, 2011; Kirsanow et al., 2008; Pietsch et al., 2011; Topalov et al., 2013; Tuross et al., 2008). 2. Materials and methods 2.1. Sample collection and preparation Human remains were sampled from 11 North American archae- ological sites primarily on the east coast with one southern site in- cluding individuals from Texas (Fig. 1, Table 1, Supplementary Table S1). These sites were selected based on availability of samples, range of geographic localities, and range of potential protein consumption. The sites are primarily temperate regions with similar humidity and tem- perature conditions. The exception is Glorieta Pass wherein the in- dividuals hailed from the warmer dryer regions of Texas (Alberts, 1984). Carbon, nitrogen, and oxygen isotope data for some samples were published previously in France et al. (2014) and France and Owsley (2015). Mechanical and chemical preparation methods followed France et al. (2014). Briefly, ∼500mg of solid bone cross section (majority cortical with traces of trabecular) was removed for collagen analysis using pliers or a rotary tool. This cross section yields a homogenized average isotope value across the final ∼10–20 years of life. Approxi- mately 50mg of powdered bone for phosphate and carbonate analysis was obtained by crushing with an agate mortar and pestle or using a rotary tool. Phosphates were extracted via dissolving mineral phases in hydrofluoric acid (2M), buffering in ammonium hydroxide (20%), and precipitating silver phosphate using a silver nitrate solution (2M). Carbonates were isolated by eliminating organics with sodium hypo- chlorite (2–3%) and eliminating secondary carbonates using acetic acid C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 34 buffered with calcium acetate (pH ∼4.5). Collagen extraction pro- ceeded via sonication to remove sediments and labile salts, acidification (0.6 M HCl, 4 °C) to remove mineral phases, removal of humic and fulvic acids with sodium hydroxide (0.125M), denaturing of the col- lagen pseudomorph in hydrochloric acid (0.03M, 95 °C), and lyophili- zation. 2.2. Mass spectrometry and ATR-FTIR All isotope ratios were measured on Thermo Delta V Advantage stable isotope mass spectrometers at the Smithsonian MCI Stable Isotope Mass Spectrometry Laboratory. Silver phosphates weighed into silver cups (∼500 μg) were thermally decomposed (1450 °C) on a Thermo Temperature Conversion Elemental Analyzer (TCEA) coupled to a Conflo IV interface and measured for δ18OPHOS values. Carbonates (∼4mg) were acidified in 100% phosphoric acid (SG > 1.92) at 25 °C for 24 h on a Thermo GasBench II unit and measured for δ18OCARB va- lues. Approximately 500 μg of collagen weighed into tin cups was combusted (1020 °C) on a Costech 4010 Elemental Analyzer coupled to a Conflo IV interface and measured for δ15NCOLL, weight % N, and weight % C values. A separate portion of collagen (∼350 μg) was weighed into silver cups for hydrogen isotope analysis. Open cups remained in ambient air for 72 h to equilibrate exchangeable hydrogen atoms with local water vapor. Open cups were then placed in a vacuum oven at 60 °C for 72 h to remove secondary adhered water molecules. The vacuum oven was vented with pure argon before cups were removed, quickly sealed, and loaded into a Costech zero-blank autosampler then flushed with ultra- pure helium. Exposure to atmosphere was< 10min. Samples were thermally decomposed on the TCEA with a chromium reactor column at 1100 °C (modified from Armbruster et al., 2006, Gehre et al., 2015, Kelly et al., 2001). Resulting H2 gas was introduced to the mass spec- trometer via a Conflo IV interface and measured for raw δ2H values. Attenuated total reflectance Fourier transform infrared spectroscopy (ATR-FTIR) was performed on bone powders using a Thermo Nicolet 6700 FTIR with Golden Gate ATR (diamond crystal, single bounce, 45°) equipped with a DTGS detector. Spectra were collected from 450 to 4000 cm−1 for 128 scans at a resolution of 4 cm−1. All baseline cor- rections and ratio calculations were performed using an automated program in TQAnalyst EZ version 8. 2.3. Data normalization All data were normalized to international reference materials. The δ18OVSMOW-SLAP values of phosphates (i.e. δ18OPHOS) were corrected against USGS 34 (δ18OVSMOW-SLAP=−27.9‰) and USGS 35 (δ18OVSMOW-SLAP = +57.5‰) nitrates. The δ18OVPDB-LSVEC values of carbonates (i.e. δ18OCARB) were corrected against LSVEC (δ18OVPDB- LSVEC=−26.7‰) and NBS 19 (δ18OVPDB-LSVEC=−2.2‰) carbonates and converted to VSMOW values for easier comparison to δ18OPHOS values using Coplen et al. (2002). The δ15NAIR values of collagen (i.e. δ15NCOLL) were corrected against Urea_UIN3 and an acetanilide cali- brated to USGS 40 (δ15NAIR=−4.52‰) and USGS 41 (δ15NAIR = +47.57‰) amino acids (Schimmelmann et al., 2009). Weight % N and weight % C values were calibrated using a homo- genous acetanilide standard. Errors associated with δ18OPHOS values are± 0.4‰ (1σ); δ18OCARB and δ15NCOLL are± 0.2‰ (1σ); weight % N and weight % C are± 0.5% (1σ). Non-exchangeable hydrogen isotope values (i.e. δ2HCOLL-NEX) were determined using three new collagen reference materials developed in parallel experiments with the USGS Reston Stable Isotope Laboratory. An Alaskan moose femur (AMF), Alaskan seal femur (ASF), and Minnesotan otter leg (MOL) were selected based on their observed raw differences in δ2H values. Whole bone segments of these reference materials were degreased in sequential soaks of 2:1 chlor- oform:methanol. Collagen was extracted in bulk from the degreased reference bones according to procedures outlined above. The δ2HCOLL- NEX and f values of AMF, ASF, and MOL were determined via methods in Qi and Coplen (2011). Briefly, the exchangeable hydrogen atoms in two identical sets of samples were equilibrated with waters of known and disparate isotope composition in separate vacuum dessicators. Samples were transferred to a vacuum oven and dried at 60 °C to remove sec- ondary adhered water molecules. Samples were removed from the oven, quickly sealed into silver cups, placed in a zero-blank auto- sampler and flushed with ultra-pure helium. Samples were calibrated against VSMOW2 and SLAP2 water standards sealed in silver tubes on a TCEA with a chromium reactor column (Gehre et al., 2015). The frac- tion of exchangeable hydrogen (fAMF=0.136, fMOL= 0.145, fASF= 0.147) was calculated by f= [δ2Htot1 - δ2Htot2]/[δ2Hw1 - δ2Hw2] where δ2Htot1 and δ2Htot2 are the isotope values of total hydrogen in the collagen equilibrated with the two different waters. The δ2HVSMOW–SLAP of non-exchangeable hydrogen was calculated by isotope balance (AMF Fig. 1. Site map showing burial locations. Note individuals buried at Glorieta Pass, New Mexico, were a military unit of enlisted Texas soldiers. C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 35 δ2HCOLL-NEX=−73.4‰, MOL δ2HCOLL-NEX = +18.3‰, ASF δ2HCOLL- NEX =+164.9‰). The δ2HCOLL-NEX in unknown samples was calculated using a 3-point linear calibration on the δ2HCOLL-NEX for AMF, ASF, and MOL reference materials as per Wassenaar and Hobson (2003). Errors associated with δ2HCOLL-NEX values are± 2.0‰ (1σ). 2.4. Examination of diagenesis Collagen preservation (i.e. post-mortem diagenesis) was examined using established protein and elemental abundance parameters (Table 2). Hydroxyapatite phosphate and carbonate were examined using ATR-FTIR peak height data (Table 2). Acceptable FTIR values for well-preserved hydroxyapatite are based on modern material in this study, previous ATR-FTIR data, and data converted from suggested offsets from more ubiquitous transmission FTIR methods. As phos- phates are generally more resistant to post-mortem isotope alteration and more strongly correlated to drinking water compared to carbonates (Iacumin et al., 1996; Person et al., 1995, 1996; Tuross et al., 1989), the δ18OPHOS values are used in subsequent statistical analysis and mod- eling. 2.5. Isotope value conversions and comparisons Corrected δ2HCOLL-NEX, δ18OPHOS, δ15NCOLL were compared and considered via various conversions and regression models, both as in- dividual points and by site averages. The δ2HCOLL-NEX was converted to meteoric water δ2H values using the equation of Reynard and Hedges (2008): δ2HMW-COLL = (δ2HCOLL-NEX - 71.9)/1.069 (r= 0.957, SE= 16.2‰). This equation is based on data from humans, non-human herbivores, and omnivores. The δ18OPHOS values were converted to meteoric water δ18O values using the equation of Longinelli (1984): δ18OMW-P = (δ18OPHOS - 22.37)/0.64 (r= 0.982, SE=0.68‰). The δ2HMW-COLL values were compared to theoretical δ2HMW values calcu- lated from the meteoric water line using the δ18OMW-P values: δ2HMW- THEOR = 8 *δ18OMW-P +10. Differences between δ2HMW-COLL and δ2HMW-THEORwere compared to δ15NCOLL in an effort to discern trophic effects that may influence deviations from the meteoric water line. Cormie et al. (1994a) provide evidence of a well-correlated relationship (r= 0.917) between δ2HCOLL-NEX and δ18OPHOS in strict herbivores from the same locality, thereby essentially eliminating trophic effects on the δ2HCOLL-NEX. This study used their equation to calculate a theoretical δ2HCOLL-NEX based on δ18OPHOS assuming an end-member scenario of humans as strict herbivores: δ2HHERB-THEOR = 7.8 *δ18OPHOS −160 (r= 0.917, SE=11.9‰). Differences between δ2HCOLL-NEX and δ2HHERB-THEOR were plotted against δ15NCOLL in another effort to de- termine a relationship between trophic effects of human omnivory on deviations from a pure meteoric water relationship between δ2HCOLL- NEX and δ18OPHOS. Finally, multiple linear regression of δ18OPHOS and δ15NCOLL against δ2HCOLL-NEX examined the concurrent influences of protein intake and meteoric water on hydrogen isotopes in bone col- lagen. All statistical analyses were run in SigmaPlot 14.0. In an effort to eliminate other demographic factors as controlling influences on collagen hydrogen isotopes, the δ2HCOLL-NEX, δ18OPHOS, and δ15NCOLL values were compared with ancestry (i.e. African American or Caucasian), sex, estimated age, and socioeconomic status (i.e. lower, middle, upper, or military class). Socioeconomic status was assigned based on the context of the burial site. Sex and age were not available or were indeterminate for some individuals (Supplementary Table S1). 3. Results Samples adhering to the defined parameters for well-preserved collagen and hydroxyapatite were included in subsequent analyses. Table 3 includes all δ2H, δ18O, and δ15N data pertinent to statistical analyses and modeling. Table 4 includes full statistical results fromTa bl e 1 Si te in fo rm at io n. Si te Si te Lo ca ti on Ti m e pe ri od O ri gi n of In di vi du al s A nc es tr y So ci o- ec on om ic St at us U rb an /R ur al A .P . H ill Ft .A .P .H ill ,V A 17 80 –1 83 0 So ut he rn U ni te d St at es A fr ic an A m er ic an Sl av es ru ra l Fi rs t A fr ic an Ba pt is t C hu rc h (F A BC ) Ph ila de lp hi a, PA 18 24 –1 84 2 Ph ila de lp hi a A fr ic an A m er ic an Fr ee bl ac k, po ss ib ili ty of ru n- aw ay sl av es ur ba n Fo sc ue Pl an ta ti on N or th C ar ol in a 18 00 –1 84 9 So ut he rn U ni te d St at es C au ca si an H ig h st at us - pl an ta ti on fa m ily ru ra l G lo ri et a Pa ss N ew M ex ic o 18 62 Te xa s, a fe w po ss ib le Eu ro pe an im m ig ra nt s C au ca si an M ili ta ry - C on fe de ra te , m os tl y en lis te d, 1 offi ce r in cl ud ed H ill ea ry C em et er y M ar yl an d 18 50 –1 90 0 M ar yl an d an d su rr ou nd in g ar ea ,p os si bl y so m e Eu ro pe an im m ig ra nt s C au ca si an H ig h st at us ,b ur ia l in fa m ily ce m et er y ru ra l Pa rk w ay G ra ve l D el aw ar e 18 50 –1 90 0 D el aw ar e A fr ic an A m er ic an Sl av es or fo rm er sl av es ru ra l Pe tt us V ir gi ni a 17 00 's - 18 00 's V ir gi ni a, po ss ib ili ty of di re ct A fr ic an or ig in A fr ic an A m er ic an Sl av es ru ra l R ob in so n C em et er y M ar yl an d 17 75 –1 87 5 M ar yl an d, po ss ib ili ty of di re ct A fr ic an or ig in A fr ic an A m er ic an Sl av es ru ra l Tr in it y C at ho lic C hu rc h G eo rg et ow n, W as hi ng to n, D C 18 00 –1 85 0 W as hi ng to n, D C an d su rr ou nd in g ar ea s C au ca si an M id dl e cl as s ur ba n W al to n Fa m ily C em et er y C on ne ct ic ut 17 50 –1 83 0 C on ne ct ic ut C au ca si an Fa rm er s ru ra l W oo dv ill e C em et er y D el aw ar e 17 90 –1 85 0 D el aw ar e C au ca si an M id dl e cl as s ru ra l C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 36 regressions. Yield data, C:N ratios, FTIR data, and calculated differences between isotope values are presented in the Supplementary Tables S2 and S3. Although δ18OCARB is not used in any subsequent analyses or modeling, it is included in Supplementary Table S3 to present a com- plete oxygen data set to the research community for future compar- isons. As a coarse examination, δ2HCOLL-NEX, δ18OPHOS, and δ15NCOLL va- lues showed no significant differences between males and females nor between Caucasians and African Americans (two-tailed t-tests, all p > 0.3). No discernible correlation was observed between δ2HCOLL- NEX, δ18OPHOS, and δ15NCOLL values and minimum estimated age (all R2 < 0.12). These demographic groupings included individuals from different regions. No single site yielded more than eight individuals with determinate age and sex, nor did any single site include both Caucasians and African Americans, thereby precluding a rigorous sta- tistical examination of these factors while controlling for regional variation in meteoric water isotope values. Comparison of δ2HCOLL-NEX between socioeconomic groups showed no significant differences (two- tailed t-test, all p > 0.05), with the exception of the lower class group versus the upper class group (p= 0.00045) and military group (p=0.020). The δ2HCOLL-NEX for individual points varied from −15.8 to +26.2‰; site averages ranged from −2.8 to +17.8‰. The δ18OPHOS for individual points and site averages ranged from +15.8 to +20.3‰ and +16.5 to +20.0‰, respectively. The δ15NCOLL for individual points and site averages ranged from +8.7 to +11.7‰ and +9.7 to +11.7‰, respectively. All regressions and correlations between δ2HCOLL-NEX, δ18OPHOS, and δ15NCOLL pass Shapiro-Wilk normality tests (p > 0.05). Linear regression showed a moderate correlation between individual δ2HCOLL-NEX points and δ18OPHOS or δ15NCOLL, with slightly stronger correlation between site averages (Fig. 2, Table 4). Conversion to meteoric water values resulted in δ2HMW-COLL ranging from −82.0 to −42.8‰ for individual points and −69.8 to −50.6‰ for site averages. The δ18OMW-P for individual points and site averages ranged from −10.3 to −3.2‰ and −9.2 to −3.7‰, respectively. As these values, and subsequent δ18OMW-P values, were direct transfor- mations of δ2HCOLL-NEX and δ18OPHOS, the correlations were similar with site averages showing a stronger correlation than individual points (Table 4). Both individual points and site averages showed slopes considerably lower than that expected from the known meteoric water line (Fig. 3). Conversion of δ2HCOLL-NEX to theoretical values based on the me- teoric water line resulted in δ2HMW-THEOR values ranging from−72.2 to −15.9‰ for individual points, and −63.6 to −19.7‰ for site averages. The δ2HMW-COLL and δ2HMW-THEOR values were compared to one another and showed moderate correlation (Fig. 4, Table 4). Dif- ferences between these two values were compared to δ15NCOLL (Fig. 4). Correlation was very poor between δ15NCOLL and the δ2HMW-COLL- δ2HMW-THEOR difference for individual points (r= 0.0524) and site averages (r= 0.284). Conversion of δ2HCOLL-NEX to a theoretical value that assumes hu- mans are strict herbivores resulted in δ2HHERB-THEOR values ranging from−36.8 to−1.7‰ for individual points and−31.4 to−4.0‰ for site averages. The δ2HCOLL-NEX and δ2HHERB-THEOR values were com- pared to one another and showed moderate correlation (Fig. 5, Table 4). Differences between these two values were compared to δ15NCOLL (Fig. 5). Correlation was very poor between δ15NCOLL and the δ2HCOLL-NEX-δ2HHERB-THEOR difference for individual points (r= 0.176) and site averages (r= 0.0547). Multiple linear regression produced better predictive ability for both individual points and site averages, where the latter again showed better correlation (Table 4). The highest predictive power lies in a linear combination of both δ18OPHOS and δ15NCOLL. 4. Discussion Hydrogen isotopes in human collagen present a complex combina- tion of influences. Before discussing the influences of meteoric water and protein intake on the δ2HCOLL-NEX values, it is worth considering potential confounding factors in the oxygen and nitrogen proxy vari- ables. These may include inter-regional movement of individuals, de- mographic factors, individual health status, variable isotope baselines of food, and non-local food sources. Movement between regions and cities did occur in historic times. While the δ2HMW and δ18OMW values should still co-vary in all loca- tions, the available food (and presumably its inherent δ2H values) would change. However, the sites included in this study likely represent local populations with a common set of food resources. Several (Foscue Plantation, Hilleary Cemetery, Walton Family Cemetery, Woodville Cemetery) are established family plots including individuals that most likely lived and worked in the local area for significant portions of their lives. The variability in δ18OMW-P, an indicator of regional origin, for each of these sites is < 1.0‰ (1σ), supporting the idea that these in- dividuals did not spend significant portions of their lives elsewhere. Three sites (A.P. Hill, Pettus, Robinson Cemetery) are slave populations that were not free to move around as they pleased; these sites show individual δ18OMW-P variability of< 1.2‰ (1σ). Three northern urban sites (FABC, Parkway Gravel, Trinity Catholic Church) are church ce- meteries that historically represent local communities. Although the urban setting might suggest higher likelihood for mobility, the δ18OMW- Table 2 Collagen and hydroxyapatite preservation criteria. Parameter Acceptable range or peak location Baseline correction References Collagen: Collagen yield ∼2–20% N/A Ambrose 1990, DeNiro 1985, Jorkov et al., 2007, McNulty et al., 2002 Weight % N 10–15% N/A C:N (atomic) 2.8–3.6 N/A Hydroxyapatite: Phosphate peak (ѵ4) height 565 cm−1 410-740 cm−1 Phosphate peak (ѵ4) height 605 cm−1 410-740 cm−1 Lowest height between 565 and 605 cm−1 peaks ∼590 cm−1 410-740 cm−1 Phosphate peak (ѵ1) height ∼960 cm−1 800-1200 cm−1 Phosphate peak (ѵ3) height 1035 cm−1 800-1200 cm−1 Carbonate peak (ѵ3) height 1415 cm−1 1200-1800 cm−1 Carbonate peak (ѵ3) height 1455 cm−1 1200-1800 cm−1 IRSF [(565 cm−1 + 605 cm−1)/590 cm−1] < 4.4 N/A Beasley et al., 2014, Garvie-Lok et al., 2004, Lebon et al., 2010, Lebon et al., 2011, Snoeck et al., 2014, Thompson et al., 2009, Thompson et al., 2011, Wright and Schwarcz 1996 C/C (1455 cm−1/1415 cm−1) ∼0.9 N/A C/P (1415 cm−1/1035 cm−1) ∼0.3 N/A ѵ1PO4 peak position < 962.5 cm−1 N/A C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 37 Table 3 Data. Site Sample ID δ15NCOLL δ18OPHOS aδ18OMW-P δ2HCOLL-NEX bδ2HMW-COLL cδ2HMW-THEOR dδ2HHERB-THEOR A.P. Hill, VA 44CEAPHILL-VAOCME-1 10.3 16.3 −9.5 5.7 −62.0 −66.1 −33.0 A.P. Hill, VA 44CEAPHILL-VAOCME-2 10.4 17.5 −7.7 16.4 −51.9 −51.4 −23.8 A.P. Hill, VA 44CEAPHILL-VAOCME-3 11.2 18.1 −6.7 23.0 −45.8 −43.9 −19.2 A.P. Hill, VA 44CEAPHILL-VAOCME-4 9.7 17.4 −7.8 11.7 −56.3 −52.2 −24.3 site average 10.4 17.3 −7.9 14.2 −54.0 −53.4 −25.1 FABC, PA FABC-08-63b 10.1 16.8 −8.8 1.9 −65.5 −60.2 −29.3 FABC, PA FABC-08-107a 10.2 16.2 −9.6 4.8 −62.7 −67.0 −33.6 site average 10.2 16.5 −9.2 3.4 −64.1 −63.6 −31.4 Foscue, NC 31FOSCUE-ECU-1 11.3 19.9 −3.9 19.1 −49.4 −21.2 −5.0 Foscue, NC 31FOSCUE-ECU-2 10.6 20.3 −3.2 16.2 −52.1 −15.9 −1.7 Foscue, NC 31FOSCUE-ECU-3 10.5 20.2 −3.3 15.8 −52.5 −16.5 −2.1 Foscue, NC 31FOSCUE-ECU-4 11.7 19.6 −4.4 20.2 −48.4 −25.0 −7.4 site average 11.0 20.0 −3.7 17.8 −50.6 −19.7 −4.0 Glorieta Pass, NM GLO-099-1A 11.5 18.5 −6.0 10.0 −57.9 −38.0 −15.5 Glorieta Pass, NM GLO-099-2A 10.8 17.6 −7.5 11.4 −56.6 −50.0 −23.0 Glorieta Pass, NM GLO-099-2C 10.4 18.6 −5.9 7.9 −59.9 −36.8 −14.7 Glorieta Pass, NM GLO-099-2E 10.4 19.2 −4.9 16.8 −51.5 −29.4 −10.1 Glorieta Pass, NM GLO-099-2H 10.9 19.4 −4.6 26.2 −42.8 −26.7 −8.4 Glorieta Pass, NM GLO-099-2P 10.5 19.1 −5.1 22.9 −45.8 −31.0 −11.1 Glorieta Pass, NM GLO-099-2R 10.7 18.9 −5.4 −6.6 −73.5 −33.1 −12.4 Glorieta Pass, NM GLO-099-2V 10.3 18.9 −5.4 14.2 −53.9 −33.0 −12.4 Glorieta Pass, NM GLO-099-2X 10.1 16.9 −8.5 9.9 −58.0 −58.2 −28.1 site average 10.6 18.6 −5.9 12.5 −55.6 −37.4 −15.1 Hilleary Cemetery, MD 18PR978-HILLEARY-FEA5 10.5 17.3 −8.0 6.1 −61.6 −53.7 −25.3 Hilleary Cemetery, MD 18PR978-HILLEARY-FEA4 11.4 16.7 −8.8 22.8 −45.9 −60.6 −29.6 Hilleary Cemetery, MD 18PR978-HILLEARY-GEORGEW 11.3 16.8 −8.7 15.5 −52.8 −59.7 −29.0 Hilleary Cemetery, MD 18PR978-HILLEARY-FEA2 10.5 17.2 −8.1 6.7 −61.0 −54.5 −25.8 Hilleary Cemetery, MD 18PR978-HILLEARY-HENRY 9.8 16.6 −9.0 10.3 −57.7 −62.3 −30.6 Hilleary Cemetery, MD 18PR978-HILLEARY-REBECCA 9.0 16.5 −9.1 8.2 −59.6 −63.2 −31.2 Hilleary Cemetery, MD 18PR978-HILLEARY-FEA3 9.9 17.2 −8.0 3.5 −64.0 −54.3 −25.6 site average 10.4 16.9 −8.5 10.4 −57.5 −58.3 −28.2 Parkway Gravel, DE 7NCE176-DHCA-V01 9.3 17.9 −7.0 1.5 −65.9 −45.8 −20.3 Parkway Gravel, DE 7NCE176-DHCA-V02 10.8 17.2 −8.0 7.1 −60.6 −54.3 −25.6 Parkway Gravel, DE 7NCE176-DHCA-V03 9.7 17.8 −7.1 10.5 −57.5 −46.9 −21.0 site average 10.0 17.6 −7.4 6.3 −61.3 −49.0 −22.3 Pettus, VA 44JC33-PETTUS-270 9.8 16.2 −9.7 5.1 −62.5 −67.5 −33.9 Pettus, VA 44JC33-PETTUS-201 9.1 17.1 −8.2 21.0 −47.6 −55.7 −26.5 Pettus, VA 44JC33-PETTUS-231 10.8 17.6 −7.5 9.6 −58.3 −49.9 −22.9 Pettus, VA 44JC33-PETTUS-223 10.1 17.1 −8.2 13.7 −54.4 −55.5 −26.4 Pettus, VA 44JC33-PETTUS-205 9.8 17.4 −7.8 1.7 −65.6 −52.2 −24.3 Pettus, VA 44JC33-PETTUS-191 10.4 18.4 −6.2 8.0 −59.7 −39.8 −16.6 Pettus, VA 44JC33-PETTUS-253 10.0 17.4 −7.8 −10.2 −76.8 −52.1 −24.2 site average 10.0 17.3 −7.9 7.0 −60.7 −53.2 −25.0 Robinson Cemetery, MD 44HE950-RADFORD-5 11.1 16.7 −8.8 23.3 −45.4 −60.7 −29.6 Robinson Cemetery, MD 44HE950-RADFORD-10 10.9 17.7 −7.2 15.2 −53.0 −47.9 −21.7 Robinson Cemetery, MD 44HE950-RADFORD-16 10.7 18.0 −6.8 11.8 −56.2 −44.6 −19.6 Robinson Cemetery, MD 44HE950-RADFORD-18 10.2 17.7 −7.3 2.6 −64.8 −48.6 −22.1 site average 10.7 17.5 −7.6 13.2 −54.9 −50.4 −23.2 Trinity Church, DC TRINITY-EAST-10 11.7 17.5 −7.6 7.2 −60.6 −51.0 −23.6 site average 11.7 17.5 −7.6 7.2 −60.6 −51.0 −23.6 Walton Cemetery, CT 6CT58-5-AMM01 9.8 17.2 −8.1 1.9 −65.5 −55.1 −26.1 Walton Cemetery, CT 6CT58-5-AMM02 10.1 17.2 −8.1 0.7 −66.6 −54.9 −26.0 Walton Cemetery, CT 6CT58-5-AMM04A 10.3 16.0 −10.0 3.7 −63.8 −70.0 −35.4 Walton Cemetery, CT 6CT58-5-AMM05 9.8 17.4 −7.8 −9.0 −75.7 −52.2 −24.3 Walton Cemetery, CT 6CT58-5-AMM07 9.6 15.8 −10.3 4.3 −63.2 −72.2 −36.8 Walton Cemetery, CT 6CT58-5-AMM08A 9.4 16.2 −9.6 −7.4 −74.2 −67.0 −33.5 Walton Cemetery, CT 6CT58-5-AMM09 9.7 16.6 −9.0 −1.4 −68.6 −61.7 −30.2 Walton Cemetery, CT 6CT58-5-AMM11 9.5 16.4 −9.3 −4.0 −71.0 −64.8 −32.2 Walton Cemetery, CT 6CT58-5-AMM19 9.7 17.8 −7.1 −15.8 −82.0 −47.1 −21.2 Walton Cemetery, CT 6CT58-5-AMM20 9.6 16.2 −9.6 4.6 −63.0 −66.9 −33.5 Walton Cemetery, CT 6CT58-5-AMM21 9.9 16.6 −8.9 −14.1 −80.5 −61.6 −30.2 Walton Cemetery, CT 6CT58-5-AMM22 10.0 16.5 −9.2 6.1 −61.5 −63.6 −31.4 Walton Cemetery, CT 6CT58-5-AMM23 8.7 17.4 −7.8 −3.3 −70.3 −52.0 −24.2 Walton Cemetery, CT 6CT58-5-AMM25 9.4 16.8 −8.7 −4.3 −71.3 −59.9 −29.1 Walton Cemetery, CT 6CT58-5-AMM26 9.4 17.5 −7.6 −2.3 −69.4 −51.2 −23.7 Walton Cemetery, CT 6CT58-5-AMM27 9.6 17.1 −8.3 −3.6 −70.6 −56.2 −26.8 site average 9.7 16.8 −8.7 −2.8 −69.8 −59.8 −29.0 Woodville Cemetery, DE 7NCE98A-DHCA-08 10.7 17.9 −6.9 13.1 −55.0 −45.4 −20.1 Woodville Cemetery, DE 7NCE98A-DHCA-12 11.7 17.2 −8.1 8.8 −59.0 −54.6 −25.8 (continued on next page) C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 38 P variability is < 0.6‰ (1σ) for each of these sites. The Glorieta Pass site is constituted entirely of a military unit that historic records show mustered out of Texas. These individuals show a δ18OMW-P variability of 1.3‰ (1σ), which is the expected range in Texas. Comparison of δ2HCOLL-NEX, δ18OPHOS, and δ15NCOLL values with demographic factors showed no statistically significant connections between ancestry, sex, and estimated age. France et al. (2014) found that ancestry was in fact most strongly predicted by collagen carbon isotope values rather than oxygen or nitrogen. Comparison of δ2HCOLL- NEX to social class showed significant differences between the lower class group versus the upper class and military groups. However, the sole military group in this test is the southernmost site, while lower class individuals were found in northern locations. This introduces re- gional controls on drinking water isotopes as a potential factor and precludes the conclusion that social class is the prevailing component in this observed isotopic difference between the lower class and military groups. The lower and upper class group contained individuals from similar regions which does impose some control on regional variability in meteoric water isotope values. In some populations, social class is apparently linked to food availability and food choice, which in turn is a rough proxy for nutritional status (France et al., 2014; Yoder, 2012). As protein intake, and consequently essential amino acid intake, are linked to food availability and choice, it bears consideration that social class may influence the δ2HCOLL-NEX values in so much as social class influences the type of food consumed. However, social class is only moderately predictable using a combination of carbon, nitrogen and oxygen isotope values and does not appear to be the prevailing factor controlling stable isotope distributions in these humans (France et al., 2014). Therefore, the potential influence of social class on δ2HCOLL-NEX values does not preclude examination of meteoric water and protein intake on said values. The δ15NCOLL values can be complicated by health issues. The δ15NCOLL values can reflect extreme circumstances including disease, infection, and pregnancy (Beaumont et al., 2013, 2015; D'Ortenzio et al., 2015; Fuller et al., 2004; Scorrano et al., 2014). Physiological examination of the remains in this study suggests no obvious presence of these factors, with the exception of two elderly individuals (31FOSCUE-ECU-4 and 44JC33-PETTUS-270) who exhibit osteopenia (Barca and Owsley, 2014). Neither individual has outlying δ15NCOLL values which suggests this particular condition did not significantly affect their nitrogen isotope values. The baseline δ15N value of plants can vary somewhat by region and incorporation of nitrogen isotopes into bone collagen can be affected by climate. Mammals in hotter drier climates will sometimes exhibit 15N enrichment compared to counterparts in cooler wetter climates (Ambrose, 1991; Cormie and Schwarcz, 1994; Fizet et al., 1995; Sealy et al., 1987). However, the individuals in this study's sites do not conform to this pattern. The larger data set of France et al. (2014), which includes most of the sites in the current study, shows no corre- lation between human δ15NCOLL and δ18OMW-P (r= 0.0892). The ex- ception is Walton Cemetery in Connecticut, the most northern and coolest site. The human remains from this site do show the most ne- gative δ15NCOLL values, but the Walton Cemetery site average (+9.7‰) is only 0.6‰ less than the average of all sites combined (+10.3‰). Regional climates and health issues may still exhibit some control over δ15NCOLL values, but it appears to be minor in the remains sampled here. The dominant controlling factor is more likely to be dietary input as discussed below. Although 18th and 19th century humans consumed a much more localized diet than modern humans, they still consumed some percen- tage of non-local food and could exercise choice in their dietary se- lections, unlike non-human mammals considered in previous studies. The more common imports of the time included cocoas, coffee, tea, rum, molasses and sugar from the West Indies and other regions; rice from Asia; wine from Europe and other regions; fresh produce and some meat from other United States regions. However, broad interregional and international food trade did not become widespread until the late nineteenth century (Bruegel, 2002; Nützenadel and Trentmann, 2008; Table 3 (continued) Site Sample ID δ15NCOLL δ18OPHOS aδ18OMW-P δ2HCOLL-NEX bδ2HMW-COLL cδ2HMW-THEOR dδ2HHERB-THEOR Woodville Cemetery, DE 7NCE98A-DHCA-01 11.0 17.8 −7.1 8.8 −59.0 −46.9 −21.0 Woodville Cemetery, DE 7NCE98A-DHCA-03 10.1 17.4 −7.8 10.6 −57.3 −52.5 −24.5 Woodville Cemetery, DE 7NCE98A- WOODVILLE-04 11.0 18.2 −6.5 9.0 −58.9 −42.0 −18.0 Woodville Cemetery, DE 7NCE98A- WOODVILLE-SLOPEB 10.3 16.7 −8.8 13.2 −54.9 −60.4 −29.4 site average 10.8 17.5 −7.5 10.6 −57.3 −50.3 −23.1 All values are in ‰; δ18O and δ2H are standardized to VSMOW, δ15N is standardized to AIR. a Calculated from Longinelli (1984) where δ18OMW-P = (δ18OPHOS - 22.37)/0.64. b Calculated from Reynard and Hedges (2008) where δ2HMW-COLL = (δ2HCOLL-NEX - 71.9)/1.069. c Calculated from the meteoric water line where δ2HMW-THEOR = 8 *δ18OMW-P + 10. d Calculated from Cormie et al. (1994a) where δ2HHERB-THEOR = 7.8 *δ18OPHOS - 160. Table 4 Regression equations and statistical information. Regression Correlation coefficient (r) Standard error (SE) F-value p-value δ2HCOLL-NEX = 3.6 *δ18OPHOS – 55.5 Individual points 0.400 8.6 11.593 0.001 δ2HCOLL-NEX = 4.1 *δ18OPHOS – 63.0 Site averages 0.695 4.3 8.409 0.018 δ2HCOLL-NEX = 7.3 *δ15NCOLL – 67.2 Individual points 0.539 8.0 24.971 <0.001 δ2HCOLL-NEX = 5.7 *δ15NCOLL – 50.3 Site averages 0.562 5.0 4.150 0.072 δ2HMW-COLL = 2.1 *δ18OMW-P – 44.0 Individual points 0.400 8.1 11.593 0.001 δ2HMW-COLL = 2.5 *δ18OMW-P – 40.4 Site averages 0.695 4.0 8.417 0.018 δ2HMW-COLL = 0.27 *δ2HMW-THEOR – 46.7 Individual points 0.400 8.1 11.593 0.001 δ2HMW-COLL = 0.31 *δ2HMW-THEOR – 43.5 Site averages 0.695 4.0 8.415 0.018 δ2HCOLL-NEX = 0.46 *δ2HHERB-THEOR + 18.2 Individual points 0.400 8.6 11.593 0.001 δ2HCOLL-NEX = 0.53 *δ2HHERB-THEOR + 21.0 Site averages 0.695 4.3 8.417 0.018 δ2HCOLL-NEX = 1.9 *δ18OPHOS + 6.1 *δ15NCOLL – 88.6 Individual points 0.573 7.8 14.660 <0.001 δ2HCOLL-NEX = 3.3 *δ18OPHOS + 3.1 *δ15NCOLL – 80.5 Site averages 0.745 4.2 5.001 0.039 C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 39 Perren, 2006). While some of the factors discussed above may have a minor in- fluence on the isotope values, none appear to be a dominant or sig- nificant factor in this study. However, it is worth bearing such factors in mind in future examinations of human δ2HCOLL-NEX since the body of published data is currently small and the understanding of how de- mographics and health affect hydrogen routing in humans is poorly understood. Considering data as individual points will include wider variation while averaging data by site eliminates some of the variability due to food choice, food availability, and lifetime movement. The δ18O and δ15N values are likely to be reliable proxies for meteoric water influence and protein intake, respectively. The δ18OPHOS and δ15NCOLL values showed moderate correlation to δ2HCOLL-NEX values. Better cor- relation through multiple linear regression suggests both are coupled to δ2HCOLL-NEX with ∼56% of the variation in δ2HCOLL-NEX related to a combination of δ18OPHOS and δ15NCOLL (from r=0.745). A larger data set of pooled individuals (i.e. site averages) might facilitate a model whereby a reasonable approximation of any one variable can be determined from a combination of the other two. Likewise, calculations of δ2HMW-COLL and δ18OMW-P can be performed once δ2HCOLL-NEX or δ18OPHOS are known. This holds potential for reconstructing historic meteoric water isotope values from archaeological remains when faunal remains are unavailable, and subsequently examining geographic ori- gins, migration, and movement. Deviation of the δ2HMW-COLL and δ18OMW-P relationship from the expected meteoric water line suggests minor input of non-local food sources and metabolic decoupling of the δ2H-δ18O relationship. The observed slope of this relationship (i.e. 2.1 for individual points, 2.5 for site averages) was well below the expected value of 8.0. Regression of δ2HMW-COLL against δ2HMW-THEOR produces a slope well below 1.0. Since δ2HMW-THEOR represents a theoretically expected value for δ2HMW based on the meteoric water line, a slope< 1.0 indicates the δ2H incorporated into bone collagen is more negative than it should be if controlled strictly by regional meteoric water. This may indicate that dietary amino acids entering the body via protein consumption had an in- herently depleted δ2HCOLL-NEX value. Local herbivorous protein sources Fig. 2. (A) Phosphate oxygen isotope values versus collagen non-exchangeable hydrogen isotope values. (B) Nitrogen isotope values from collagen versus non- exchangeable hydrogen isotope values from collagen. Enlarged symbols indicate site averages. Fig. 3. Collagen hydrogen isotope values converted to meteoric water values versus phosphate oxygen isotope values converted to meteoric water values. Enlarged symbols indicate site averages. C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 40 (i.e. deer, cow, sheep, etc.) foddered on local vegetation should con- form to the meteoric water line where the slope of δ2HCOLL-NEX versus δ18OPHOS is approximately 8.0, and the slope of δ2HCOLL-NEX versus δ2HMW is approximately 1.0 (Cormie et al. 1994a, 1994c; Pietsch et al., 2011; Reynard and Hedges, 2008; Topalov et al., 2013). In this study, the deviation from these expected slopes may be due to inclusion of protein sources imported from northern latitudes, or from local animals foddered on imported northern grains. This would result in a depleted δ2Hdietary amino acid input into the human body, while maintaining the local δ18OMW-P signature, thereby decreasing the δ2HCOLL-NEX versus δ2HMW slope to<1.0. Bowen et al. (2009) and Kirsanow and Tuross (2011) also noted that amount of local versus non-local dietary input can affect expected correlations between δ2H and δ18O in human ker- atin and collagen. While the influence of imported and non-local foods on isotope values cannot be completely discounted, it is likely to be a relatively minor factor, as discussed above. Differences between δ2HMW-COLL and δ2HMW-THEOR did not correlate well with δ15NCOLL, nor did differences between δ2HCOLL-NEX and δ2HHERB-THEOR. The δ2HMW-THEOR and δ2HHERB-THEOR represent expected values for meteoric water-controlled hydrogen isotope values without trophic level fractionations. Nitrogen isotopes show a very systematic enrichment during increased meat consumption where 14N is pre- ferentially excreted with urea thereby leaving the body enriched in 15N (Sutoh et al., 1987). If a similar mechanism fractionated hydrogen isotopes during incorporation into collagen, one would expect δ2HMW- COLL-δ2HMW-THEOR differences and δ2HCOLL-NEX-δ2HHERB-THEOR differ- ences to correlate with δ15NCOLL. The noticeable lack of correlation suggests some other metabolic mechanism at work. Rather than a systematic enrichment or depletion of hydrogen iso- topes during collagen formation, this data may indicate a threshold of meat consumption exists beyond which the expected δ2H-δ18O re- lationships decouple. Pietsch et al. (2011) demonstrated that pure Fig. 4. (A) Collagen non-exchangeable hydrogen isotope values converted to meteoric water values versus theoretical meteoric water hydrogen isotope values based on the meteoric water line. (B) Difference between converted values and theoretical values versus collagen nitrogen isotope values. Enlarged symbols indicate site averages. C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 41 carnivores drinking very little water show virtually no correlation be- tween δ2H and δ18O in hair keratin, nor do keratin and meteoric water δ2H and δ18O values correlate. Cormie et al. (1994a), Cormie et al. (1994c), Reynard and Hedges (2008), and Pietsch et al. (2011) de- monstrated that strict herbivores show the opposite with strong corre- lations between bone δ2H and δ18O values and strong correlations be- tween meteoric water δ2H and δ18O values. Data from omnivorous humans in this study fall somewhere in between these two end mem- bers. This supports the conclusions of Pietsch et al. (2011) that a threshold of meat consumption may exist above which animals obtain the majority of their amino acids from consumed meat and have minimal need to produce amino acids in vivo. Without in vivo amino acid production, meteoric water hydrogen will not be incorporated into δ2HCOLL-NEX values either through direct water consumption or via plant tissues. The primary factor contributing to δ2HCOLL-NEX will then become the baseline δ2H value of the meat itself which has already cycled through several metabolic processes and associated fractiona- tions. The more meat consumed, the more the δ2H-δ18O relationships deviate from the expected meteoric water line. Thus the overall δ2HCOLL-NEX will show some correlation with a proxy for meat amount consumed (i.e. δ15NCOLL), while relationships between δ2HCOLL-NEX and δ18OPHOS (and calculated values based on these factors) will decouple. This opens the question as to where the threshold lies. From the previously introduced general conceptual model, one may consider the δ2HCOLL-NEX for mammals as follows: Herbivores: δ2HCOLL-NEX= δ2Hingested water + εa Omnivores: δ2HCOLL-NEX = (δ2Hingested water + εa) + (δ2Hdietary amino acids + εb) Carnivores: δ2HCOLL-NEX= δ2Hdietary amino acids + εb Herbivores and carnivores are presented here as extreme end Fig. 5. (A) Measured collagen non-exchangeable hydrogen isotope values versus theoretical hydrogen isotope values based on pure herbivory. (B) Difference between measured values and theoretical values versus collagen nitrogen isotope values. Enlarged symbols indicate site averages. C.A.M. France et al. Journal of Archaeological Science 96 (2018) 33–44 42 members, which is oversimplified. Herbivores do obtain some essential amino acids from plants, but these amino acids generally have similar δ2H values to local meteoric water. Most carnivores will ingest some meteoric water, albeit in very limited quantity, or it may enter the body already incorporated into food (i.e. meat). Nonetheless, the point at which one end member grades into another is unknown, but potentially useful information. Future work in feeding studies with gradations of consumed meat amount may be able to use deviations from the ex- pected meteoric water line δ2H-δ18O relationships to determine per- centage of meat in a person's diet. The slope between δ2H and δ18O in keratin or collagen appears to decrease from ∼8.0 to ∼0.0 as animals move from pure localized herbivory to pure carnivory; likewise the slope between δ2H in collagen or keratin and meteoric or drinking water δ2H appears to decrease from ∼1.0 to ∼0.0 between herbivores and carnivores (Bowen et al., 2009; Cormie et al. 1994a, 1994c; Ehleringer et al., 2008; Pietsch et al., 2011; Reynard and Hedges, 2008; Topalov et al., 2013). More data is needed for bone collagen in parti- cular. The ability to estimate percentage meat consumption would add new depth to understanding ancient lifestyles, food choice, and food availability in historic and archaeological populations. 5. Conclusions Hydrogen isotopes in human bone collagen represent a combination of drinking water and dietary input. Using phosphate oxygen isotopes and collagen nitrogen isotopes as meteoric water and protein intake proxies, respectively, one can estimate the collagen hydrogen isotope values. This is contingent upon pooling multiple individuals from a given site to eliminate inherent variability from food choice, food availability, and movement between locations. Relationships between meteoric water oxygen isotope values and bone collagen hydrogen isotope values show deviation from the expected meteoric water line. This is hypothetically due to the minor inclusion of non-local food sources and a decoupling of oxygen/hydrogen relationships as in- dividuals reduce in vivo amino acid production due to increased meat consumption. Further examination of this decoupling could determine percentage of dietary meat, thereby adding valuable new information into archaeological dietary studies. Currently nitrogen isotope data can provide only relative amounts of meat consumption between in- dividuals or populations. Incorporating collagen hydrogen isotopes may facilitate absolute determinations of meat consumption, as well as adding depth to our understanding of locality and movement within ancient populations. Acknowledgements Collection access through Smithsonian National Museum of Natural History Skeletal Biology Program. K. Barca, K. Bruwelheide, C. Doney†, D. Dunn†, A. Lowe†, S. McGuire, S. Mills, W. Miller, J. Ososky, B. Pobiner, C. Potter, A. Warmack assisted with procurement/preparation of remains. 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