Multi-isotopic study of diet and mobility in the northeastern Nile Delta

The origin of the Hyksos dynasty (c. 1638–1530 BCE) is thought to be rooted in the Near East given the architectural features and burial customs present at the site of Tell el-Dabca, identified as the capital of Hyksos rule in the Eastern Delta of Egypt. We expand previous 87Sr/86Sr research on the site’s cemetery assemblage using a multi-isotopic methodology: oxygen (δ18O) and carbon (δ13Ccarb) stable isotopes from the carbonate portion of tooth enamel (n = 75), along with collagen (δ13Ccoll, δ15N) analysis of dentine and bone (n = 31). Pairing δ18O with previous 87Sr/86Sr data identifies 60% of the cohort as non-locals (45/75). Although there were a greater proportion of non-local females (24/30, 80%) compared to males (10/20, 50%), there were no significant differences between the sexes in δ13Ccarb or δ18Ocarb values. There were no spatial patterns regarding the three cemetery sites, nor any observable patterns regarding where non-locals were interred in the largest excavated cemetery, Area A/II. Both first-generation immigrants and individuals from the northeastern Nile Delta were buried following elite Asiatic burial customs, suggesting continuation of foreign burial culture. All collagen showed poor preservation; δ13Ccoll and δ15N analysis were not possible. δ13Ccarb showed no significant difference between locals and non-local diet, although non-locals at Tell el-Dabca did eat a broader variety of foods as a group, suggested by a wider δ13Ccarb range (− 13.5 to − 9.6‰ in non-locals compared to locals’ − 12.1 to − 10.3‰). If there is a difference in food culture between immigrants and native Egyptians, it was not observable using isotopic analyses.


Introduction
During the so-called Hyksos Period and its prelude (c. 1750-1530 BCE), Egypt was confronted with two unprecedented phenomena: the migration of a substantial foreign population into the Eastern Delta from the late Middle Kingdom onwards and, probably as a result, the rule of a foreign dynasty over Egypt's north during the Second Intermediate Period (Bietak 2010a). Arriving to Egypt most likely as traders, craftsmen, sailors, and expedition leaders, they created a hybrid Egypto-Levantine culture in one of the most important trade centers and harbor cities of its time, Tell el-Dab c a, which later became the capital of the 15th Dynasty Hyksos kings (Fig. 1). From the archaeological evidence, these immigrants clearly had their roots in the Near East. However, their exact geographical origin, the degree of their cultural and ethnic homogeneity, the reasons for their migration to Egypt, and the means by which they assumed political control are still partly unclear (Baines 1996;Bietak 1996).
Stable isotopes, especially those that can identify individuals who spent part of their lives outside of the location where they were buried, can contribute data for identifying first-generation immigration. Stable isotope analyses are powerful tools in archaeological sciences, used in past archaeological studies in Egypt and Sudan for the investigation of human diet (Dupras 1999;Eerkens et al. 2018) and mobility (Buzon and Bowen 2010;Buzon et al. 2007;Schrader et al. 2019;Stantis et al. 2020).
In addition to 'traditional' isotopes for mobility, food choices might also pinpoint first-generation immigrants if they maintained their homeland cuisine and if their homeland cuisine is sufficiently isotopically different from local diet. This line of research relates to dietary acculturation, the process of consuming an increasing proportion of foods native to the host country (Satia-Abouta et al. 2002). Dietary acculturation is studied in modern populations to understand the dynamics of cultural identity and assimilation, as well as its effects on lifestyle risk factors and nutrition (Dondero et al. 2018;Peters et al. 2020;Ramírez et al. 2018). From an archaeological context, dietary acculturation can be limited due to an inability to identify firstgeneration immigrants and compare them to the rest of the population. Isotopic identification of first-generation immigrants grants opportunity to investigate this phenomenon and consider the potential causes and consequences of food choice and availability in immigrants.
In this paper, we address four major questions: 1. Does the oxygen stable isotope data agree with the strontium data for who is non-local? 2. Are there any patterns in migration regarding burial location, the sexes, or time periods? 3. Are the non-locals eating a significantly different diet from those who grew up in the region?
4. Are there any trends in isotopic values associated with those buried in the most elite burial customs or those buried as servants in front of these elite tombs?

Bronze Age Diet in Egypt
Isolating Dynastic Egyptian dietary and subsistence strategies by major chronological periods (e.g., Middle Kingdom, Second Intermediate Period) can be difficult, but we can broadly describe major food groups on the Bronze Age menu.
Much of the information about the types of foods consumed in ancient Egypt are derived from figurative depictions of feasts (Alcock 2006) as well as papyri recording extracts of the economic systems of the times (Allen and Ḥeḳanakhte 2002). The depictions of feasts contain bias both as representing only the upper classes as well as being idealized depictions of these special events (Harrington et al. 2016). Archaeological evidence of foods from middens and graves also provide insight (Caracuta et al. 2018;Kemp et al. 1994; Moens and Wetterstrom 1988). The core of Dynastic Egyptian diet was C 3 plants: bread made from wheat, especially emmer (Triticum dicoccon), leafy vegetables such as onions and leeks (Allium spp.), and pulses such as lentils, peas, and chickpeas. Beer from barley (Hordeum vulgare) was an everyday beverage for all socioeconomic groups (Farag et al. 2019;Riehl 2019;Samuel 1996). Wine and olive oil were major imports from the Levant for upper class consumption with increased demands from the Middle Kingdom (Marcus 2007), though some wine Fig. 1 Location of Tell el-Dab c a in northern Egypt had been produced locally from the Early Dynastic Period (Arnold et al. 1995;Cohen 2018;David 1999;Murray 1999).
Some prominent C 4 sedges of the Cyperus genus were collected for both human consumption and as fodder (Li et al. 1999). Since pre-Dynastic periods, tiger nuts (Cyperus esculentus) and yellow nut grass (Cyperus rotundus) were collected as wild plants or cultivated as crops (Fahmy et al. 2013;Murray 2000;Negbi 1992). Roots and stems of papyrus (Cyperus papyrus) were also edible (Crawford 2007).
Domesticated animals such as ovicaprines, cattle, pigs, and fowl were sources of meat and some dairy products, although animal flesh was rarely consumed by those of lower socioeconomic status (Alcock 2006). Freshwater fish seem to have been a consistent source of food for the lower classes along the Nile through Pharaonic times, although some priesthoods and the upper classes avoided consumption of fish for religious purposes at different time periods (Darby et al. 1977). Invertebrate consumption (e.g., shellfish), whether freshwater, marine, or terrestrial, is evidenced in middens during the Hellenistic Period/Late Antiquity (Morand 2020), though invertebrate consumption during the Dynastic Periods appear to be of minor importance judging from the scattered shell of edible species found at a few Egyptian sites (Ablamowicz et al. 2004;Castel 1988;Castel et al. 1999).

Stable isotope background
The stable isotopes used in this study (carbon, nitrogen, and oxygen) are expressed as a ratio of heavy versus light isotopes and is reported using the delta notation (δ): δ = [(R sample / R standard − 1) × 1000] where R is 13 C/ 12 C, 15 N/ 14 N, or 18 O/ 16 O in this study (Hoefs 2009;Sharp 2017 (Chenery et al. 2010;Müldner et al. 2011;Prowse et al. 2007). The main intake of oxygen atoms into the body is through drinking water (Bryant and Froelich 1995;Longinelli 1984;Luz and Kolodny 1989), and the difference in proportions between 18 O and 16 O is dependent largely on the location's climate (e.g., mean temperature, altitude, proximity to coast) from which the drinking water is sourced (Daux et al. 2008;Pederzani and Britton 2018). Oxygen can be analyzed from two functional groups within hydroxyapatite: the phosphate (-PO 4 ) or the carbonate (-CO 3 ) group. The phosphate group is more tightly bound and less susceptible to diagenetic alterations (Chenery et al. 2012), but the stable isotope analysis of the structural carbonate ion also provides δ 13 C carbonate data for dietary information (Commendador et al. 2019;Gregoricka et al. 2020;King et al. 2013).
In order to consider possible proxy values for the oxygen stable isotope values (δ 18 O dw ), modern mean annual precipitation oxygen values across the region have been recorded (Bowen 2018;Bowen et al. 2013). When plotted (Fig. 2), variation is observable, especially to the south where it is hotter and more arid, and in cooler regions such as mountain ranges. Calculated annual mean oxygen values for Tell el-Dab c a are − 0.4 ± 1.3‰ (1 SD) (Bowen 2018). Drinking water from the Nile River will be/have been a major contributor for oxygen values in human tissues and is potentially a better proxy than annual mean precipitation values. The modern δ 18 O value of the Nile, measured in Cairo, is + 2.8‰ (Cockerton et al. 2013), which is believed to have shifted significantly since the 1960s due to the building of the Aswan High Dam. Paleoclimatologists cannot state empirically the shift in values this has caused but some estimate the Nile River was 4‰ lower before the damming, which would place the northern Nile water around − 2.8‰ (Geirnaert and Laeven 1992). Groundwater values, however, might be more reflective of pre-damming values in the region. There are some environmental isotope studies providing values from  (Bowen 2018): https://wateriso.utah.edu/waterisotopes/ pages/data_access/oipc.html groundwater and well sources in the northeastern Nile Delta between the Damietta Branch and Ismailia Canal (Ahmed et al. 2013;Al-Gamal et al. 2018;Eissa et al. 2019;Gomaah et al. 2016;Hamza et al. 1987;Hassan et al. 2020). Groundwater and well samples from these studies (n = 181) display an average value of 2.23 ± 1.43‰ (1 SD).
Values of δ 18 O in tooth enamel can be converted back to the estimated drinking water values using a regression equation (Daux et al. 2008) but it must be emphasized that culturally mediated alterations to the drinking water (e.g., "brewing and stewing") would have shifted imbibed δ 18 O values to more positive values compared to the original ingested water values (Brettell et al. 2012). Shifts in oxygen values between individuals can be difficult due to the multitude of variables affecting values, such as climate shifts (seasonal and over longer scales), individual mobility, dietary intake, and individual physiology (Tuross et al. 2017;Pederzani and Britton 2018). The difficulty of utilizing δ 18 O values for investigating human mobility in the Nile Valley has been noted by previous researchers (Buzon and Bowen 2010).
Although strontium ( 87 Sr/ 86 Sr) isotope analysis is limited along the Nile due to the homogenization of alluvium relied upon for crop growing (Stantis et al. 2019), the method has had some utility for identifying non-locals in the northeastern Nile Delta (Stantis et al. 2020). Coupling stable and strontium isotopic approach can ameliorate some of the weaknesses of each method when used in isolation.
δ 13 C and δ 15 N Carbon and nitrogen stable isotopes are typically utilized as 'dietary isotopes'. The analysis of carbon and nitrogen stable isotopes is based on the principle that we build our body out of the food we eat and the water we drink, and that our tissues reflect these dietary inputs: that 'we are what we eat' (Ambrose and Krigbaum 2003;Hedges et al. 2007;Katzenberg 2008;Schoeninger 2010).
Most of the differences in carbon isotopic values (δ 13 C) between food webs arise from the varying δ 13 C values of autotrophs (Lee- Thorp et al. 1989;Sharp 2017). δ 13 C can be measured to differentiate between the consumption of terrestrial C 3 plants and marine foods in past populations (DeNiro and Epstein 1978;Hoefs 2009;Lee-Thorp et al. 1989). Values of δ 13 C range between − 33 and − 23‰ in terrestrial C 3 plants (Marshall et al. 2007) while C 4 plants, such as tiger nuts and papyrus will display higher δ 13 C values than terrestrial C 3 plants and largely overlap in values with marine autotrophs, between − 16 and − 9‰ (Fry et al. 1982;Keegan and DeNiro 1988;Schoeninger and DeNiro 1984).
Carbon stable isotopes in human body tissues can be analyzed from both the organic and mineral portions of bones and teeth: δ 13 C collagen , analyzed in tandem with δ 15 N, and δ 13 C carbonate analyzed together with δ 18 O carbonate (Sharp 2017). Analyzing carbon stable isotope values of these two tissues gives insight into different parts of the consumer's diet due to differences in fractionation factors between tissues (Hobson and Clark 1992; Tieszen et al. 1983). δ 13 C collagen is largely representative of the protein portion of an individual's diet, while δ 13 C carbonate reflects the isotopic composition of the whole diet (i.e., carbohydrates, lipids, and protein) (Ambrose and Norr 1993;Balasse et al. 2003;Jim et al. 2004;Lee-Thorp et al. 1989;Passey et al. 2005;Tieszen and Fagre 1993).
Examining nitrogen stable isotope values (δ 15 N) in bone collagen allows researchers to understand an organism's trophic level due to a 3-5‰ stepwise enrichment between herbivores and the carnivores that prey upon them, with omnivores somewhere in between (Bocherens and Drucker 2003;Minagawa and Wada 1984;O'Connell et al. 2012;Perkins et al. 2014). There is also a stepwise enrichment of 13 C values between trophic levels but the enrichment is too small (~1‰) to be easily observed except in controlled studies (Bocherens and Drucker 2003;DeNiro and Epstein 1978). Marine food webs tend to be more complex with higher trophic levels, causing higher δ 15 N values in humans consuming marine foods (Richards and Hedges 1999;Stantis et al. 2016;Stantis et al. 2015).
By analyzing different tissues from adults, researchers can examine multiple portions of an individual's life (Lamb et al. 2014;Schroeder et al. 2009). The stable isotope ratios of bone collagen are representative of a person's diet during the last years of their life because bone is constantly remodeled (Hedges et al. 2007). Human teeth, however, do not remodel once formed (Hillson 1996) and so the examination of dentine collagen gives a "snapshot" of an individual's childhood diet (Beaumont et al. 2013a;Beaumont et al. 2013b).

The site of Tell el-Dab c a
Tell el-Dab c a (30°47′ 14.64″, 31°49′ 16.68″) sits on the nowdefunct Pelusiac branch of the Nile in the northeastern Nile Delta region. This region is characterized by low plains of rich alluvial deposits with SW-NE belts of hills or geziras (Said 2017). During the Second Intermediate Period, several river channels formed a network around a gezira formed by aeolian sands on which sits the site of Tell el-Dab c a (Dorner 1994;Tronchère et al. 2012).
The stratigraphy at Tell el-Dab c a records over 500 years of occupation spanning the rise of the Hyksos (Bietak 1975;Bietak 1996;Bietak 2010a). Therefore, examination of the cemetery assemblages offers a direct assessment of these residents and of the timing and mechanisms of their ascent to rule. During the Middle Kingdom, a settlement was founded in the northeastern Nile Delta as an administrative center and harbor city that grew in power (Czerny 2001;Czerny 2015;Forstner-Müller 2007) to become the capital of the regional Hyksos Kingdom (the 15th Dynasty). It was largely abandoned around 1550 BCE following the campaigns of the southern Theban Kingdom (17th Dynasty) which sought to defeat the Hyksos rulers and found the New Kingdom (Bader 2013;Bietak 1979;Bietak 1997;Bietak 2010a;Bietak 2011;Bietak 2013a;Bietak et al. 2016;Mourad 2015;O'Connor 1997). The Tell el-Dab c a stratigraphy system is compared to relative and estimated absolute chronologies in Fig. 3.
Samples come from cemeteries in three excavated areas (Fig. 4). Area A/I, the smallest and least published of the three areas (Prell and Rahmstorf 2019), yielded only one individual for isotopic analysis. Area A/II is the largest excavated cemetery of the site, the most comprehensively published area of Tell el-Dab c a and provided the majority of samples for this study. Online Resource 3 is a map of the area, with burials analyzed in this study marked. Occupation of A/II began with small-scale settlement activity during phases H-G/1 (van den Brink 1982). From phase E/2 through D/2, an eastern Delta material culture, associated with the Fifteenth Dynasty, appeared (Forstner-Müller 2010). Large temples were built in A/II during phases F-E/2, most notably Temple III which experienced continued use throughout the time period (Bietak 2009;Bietak 2016). The continued occupation of this temple, along with unchanging land plots (interpreted as persistence of land ownership), has been suggested as indicative of wider continuation spanning from before the Hyksos period (Bietak 2016;Forstner-Müller 2010).
The earliest occupation in Area F/I dates to the 12th Dynasty, strata e/2-3 (i.e., phase N/2-3; note that Area F/I uses a local stratigraphy system denoted in lower case but relating to the phases of area A in capitals) (Czerny and von den Driesch 1999). Excavations from stratum d/2 (phase H) unearthed examples of non-local customs, including domestic architecture, pottery, and interments containing Near Eastern style metalwork as grave goods (Philip 2006). A range of burial structures during strata d/ 1-2 (phases G/4-H) in Area F/I have tomb architecture unique to the area and stratum. After strata d/1-2, burial structures unify and resemble those of the rest of the site (Schiestl 2008;Schiestl 2009). A site chronology has been established by timelines provided by a stela of Sesostris III, the (at least partial) abandonment of the site at the end of the Hyksos Period, comparisons of ceramics with well-dated sites in Egypt and Ashkelon (Bietak 2002;Bietak 2010b). The offsets to the 14 C dating (Kutschera et al. 2012) demanded re-evaluation after annual tree-ring measurements (Pearson et al. 2018). In order to address the question of chronological patterns of movement, we collapse the detailed timescale to a simple 'Pre-Hyksos' time period (1991( -1649 and the Hyksos reign. Absolute and relative chronologies of the site are still debated (e.g., Bietak 2013b; Höflmayer 2019), and so, the current study relies on stratigraphy which retains the relative temporal distances between the burials.

The Elite of the Elite?
Tell el-Dab c a cemeteries are posited to have generally interred the elites of the city (Philip 1989), although Bader (2020) points out there are some simple pit burials with no or few grave goods within the cemeteries. Several individuals are especially notable in their funerary wealth even among the elite assemblage. These individuals are notable for being buried in at least one of three themes of particularly elite burial custom: equid burials, weapons burials, or buried with servants (Table 1).
Throughout all three cemetery areas, some richly appointed constructed tombs had equids (i.e., donkeys) placed outside the tomb; these equid burials are an elite burial tradition found in the Fertile Crescent since the Early Bronze Age (c. 3000 BCE) (Forstner-Müller 2008;Prell 2019b;Schiestl 2009). Double equid burials (two equids placed outside the tomb, often oriented as though they are ready to pull a cart) are the common configuration for this rare burial form at Tell el-Dab c a, and three burials with equids interred at the entrance of the tomb were available for isotopic analysis. The burial of A/II-l/12 Tomb 5 is notable for having five equids buried in the entrance pit outside the tomb as well as select burial goods including a narrow-bladed bronze battle-axe and a scarab bearing the name 'Deputy treasurer, Aamu (i.e., Asiatic)' (Bietak 1991;Prell 2019b). A/II-n/13 Tomb 8 (with two individuals excavated from the tomb) is identified as an equid  Stantis et al. (2020) burial by Wapnish (1997), although zooarchaeological records only suggest scattered equid bones outside the tomb (Boessneck and von den Driesch 1992); Wapnish might have interpreted the bones as evidence of a disturbed equid burial and is therefore included in this investigation.
Individuals associated with burial items of copper alloy weaponry (e.g., axes, swords, javelins, and daggers) are another funerary category often associated with socio-economic wealth in the Levant and parts of the northeastern Nile Delta during this time period (Cohen 2012;Philip 1995;Prell 2019a). This bronze weaponry is associated with the idealization of a 'warrior culture' with socially elite males being buried with bronze weaponry that often appears decorative rather than functional.
'Attendant burials' outside of constructed tombs also set some burials apart at Tell el-Dab c a (Bietak 1989;van den Brink 1982); these are burials located outside the front entrance of constructed tombs, seemingly contemporaneously deposited along with the elite(s) buried in the constructed tomb, with no burial offerings associated with the individuals outside the tomb. Outside the constructed tomb of A/II-l/12 Tomb 5, two humans (designated A/II-l/12 Tomb 5, Burials 2 and 3) were buried in the entrance pit along with the five equids. The tomb of A/II-l/11 Tomb 3 also had burials placed outside the entrance pit and the individual inside the constructed tomb (Burial 1) was available for comparison.
There is some re-interpretation with later analysis of the excavation, suggesting that Burials 2 and 3 mentioned above might be earlier burials disturbed by the equid pit (Bietak 1989). Regarding the attendants outside A/II-l/12 Tomb 5, Burial 2 was estimated osteologically to be a male, while all other attendant burials in Tell el-Dab c a were estimated as females by initial osteological assessment (Bietak 1989;van den Brink 1982). A/II-l/11 Tomb 3 is also contentious as to whether the burials outside the tomb are attendants as they were endowed with some offerings. In addition, the right foot of A/II-l/11 Tomb 3 Burial 1 was covered by the eastern side wall of the neighboring Tomb 2, suggesting intercutting and different interment times. In favor of the attendant burial interpretation, the two individuals are in the position where one would expect the entrance pit of A/II-l/11 Tomb 3. If these burials were older than this tomb group, they would have been disturbed by the entrance pit.
These seven especially richly appointed burials are worth further qualitative examination as a small subgroup to investigate whether these individuals share patterns in diet or mobility. The two possible 'attendant burials' of A/II-l/12 Tomb 5, Burials 2 and 3 are also available for isotopic analyses, along with an attendant burial outside the tomb of A/II-m/16 Tomb 2, Burial 1.

Previous 87 Sr/ 86 Sr evidence at Tell el-Dab c a
Previous research on Tell el-Dab c a individuals using 87 Sr/ 86 Sr analysis of tooth enamel highlighted that the site has always been a cosmopolitan hub of movement, with more than half of all individuals (40/75 or 53%) originating from outside the Nile Delta (Stantis et al. 2020). When comparing time periods, more non-locals were identified during the pre-Hyksos time period, lending support to the supposition that the Hyksos rise to rule was reinforced by immigrants who had moved into the Delta region during the Middle Kingdom and built a socio-economic base of power, rather than the result of an invasion as popularly theorized in apocryphal stories (Dillery 1999;Josephus 1849;Mourad 2015;Redford 1970). Significantly more women moving into the city rather than men might suggest exogamous marriage practices and patrilocality, and further does not support the notion of an invading force as the Hyksos mechanism of taking control (Stantis et al. 2020).

Sample collection
During excavations at Tell el-Dab c a in the late 1960s and early 1970s, archaeological samples were exported to Vienna, Austria. Permission from curation institutions was secured in order to sample, export, and perform destructive analysis on select pieces of human bone and teeth. Second permanent molars or permanent premolars (first or second) were selected as these teeth, whether mandibular or maxillary, complete crown formation between 5 and 8 years of age of the individual (AlQahtani et al. 2010). Teeth with cavitated carious lesions were avoided to minimize variation from pathological changes to the enamel (Plomp et al. 2020). For dietary isotopes from bone collagen, samples of~800 mg were taken from cortical bone. Bones with pathological changes were excluded on the principle that disease-related changes in the tissue's metabolic pathways may affect the isotope values (Katzenberg and Lovell 1999).
Age and sex estimations were determined using standard bioarchaeological methods (Brickley and McKinley 2004;Buikstra and Ubelaker 1994), with Winkler and Wilfing's observations as field osteologists at the site used as supplementary information (Winkler and Wilfing 1991).

Sample preparation and analysis
After burring to remove the outer surface, enamel was removed from the tooth using a dental cutting instrument with a rotary saw attachment. Any dentine attached was gently burred. The enamel was powdered in an agate mortar and pestle and then pretreated with 0.1 M acetic acid at room temperature for no longer than 4 h. The powders were then rinsed 3× with ultrapure water and then dried in a 50°oven overnight.
Carbon (δ 13 C) and oxygen (δ 18 O) isotope ratios were measured in the carbonate (CO 3 ) component of tooth enamel following the procedures of Bentley et al. (2007). For each tooth, approximately 2 mg of powdered sample was reacted with 99% ortho-phosphoric acid for 2 h at 70°C. The resultant gas mix of helium and CO 2 was then purified in a Thermo Fisher Scientific Gasbench II then passed directly into a Thermo Fisher Scientific MAT 253 gas source mass spectrometer for isotopic analysis. Both δ 13 C and δ 18 O values are presented in per mill (‰), δ 13 C is presented relative to VPDB, and δ 18 O is presented relative to VSMOW. Duplicate analysis of samples yielded a precision with a mean difference of 0.37‰ (2 SD) for δ 13 C and 0.32‰ (2 SD) for δ 18 O. International reference carbonate materials NBS 19 (n = 3), IAEA-CO-1 (n = 3), and LSVEC (n = 3) were analyzed during each run to monitor performance and normalize the isotopic data. Two internal standards: carbonate DCS01 (n = 7) and equid tooth enamel Dobbins (n = 2) were also analyzed in each run. International standards yielded reproducibility better than 0.20‰ (2 SD) for δ 13 C and 0.24‰ (2 SD FTIR (Fourier transformation infrared spectroscopy) analysis can be utilized for preservation assessment (Beasley et al. 2014;France et al. 2020;Hollund et al. 2013). Although δ 18 O and δ 13 C carbonate can have preservation issues, especially surrounding recrystallization of the inorganic matrix, FTIR was not included in this study as spectroscopic indicators are not necessarily reliable for ascertaining the level of diagenetic changes (Trueman et al. 2008). Bone can be used in studies where diagenetic effects are not thought to have affected 87 Sr/ 86 Sr and δ 18 O values, but tooth enamel is more resistant to leaching and contamination from the burial environment (Hoppe et al. 2003;Trickett et al. 2003). For bone and dentine, collagen extraction and purification were carried out using a modified Longin method using 0.3 M HCl for 'gentler' demineralization (Brown et al. 1988;Longin 1971). Given a potentially poor preservation at the site, a pilot group was selected for demineralization (Online Resource 1). All samples from the pilot study to test collagen preservation in this assemblage either had no collagen 'survive' the demineralization process (i.e., complete dissolution in the 0.3 M HCl solution) and so no collagen could be analyzed in the mass spectrometer, or the samples that did yield enough product to analyze exhibited collagen quality indicators (%C, %N, C/N) suggestive of poor preservation and/or contamination (Ambrose and Norr 1993). As such, the δ 13 C and δ 15 N from collagen are not discussed further in the results and discussion of this paper.

Statistical analysis
R was used for statistical analysis and graph generation (R Core Team 2000). Shapiro-Wilk tests were used to test the null hypothesis that δ 18 O and δ 13 C data were normally distributed. If normally distributed, Welch two-sample t tests were used to assess for significant differences in variance; if not normally distributed, Kruskal-Wallis tests were used. With non-locals identified using previously published 87 Sr/ 86 Sr along with this study's δ 18 O values, we can also assess the relationship between locality and the sexes as well as compare time periods using chi-squared tests. A generalized logistic regression model using both sex and time period as independent variables would be ideal, but the sample size is too small when both variables are included.

Results
Of the 75 individuals, δ 18 O carb values (VSMOW) range from 25.3 to 31.8 (mean 28.5 ± 1.5 SD). δ 13 C carb values range from − 13.5 to − 9.6 (mean − 11.4 ± 0.7 SD). A summary of the δ 13 C and δ 18 O data is shown in Table 2, with the full dataset available as Online Resource 2 and ready for import into R for use with this study's code as Online Resource 4. δ 13 C carb data are normally distributed (Shapiro-Wilk = 0.986, p = 0.575) but the δ 18 O data are not (Shapiro-Wilk = 0.942, p = 0.002).
The individuals sampled were excavated from three areas of the site: A/I (n = 1), A/II (n = 66), and F/I (n = 8). Comparing between excavated areas, F/I and A/II show no significant differences in δ 18 O values (W = 368, p = 0.072) and no significant differences in δ 13 C carb values (t(73) = 0.455, p = 0.6611). With the great disparity in sample sizes, we acknowledge that there might be great differences between the areas, but A/II is going to dominate the patterns between sexes and simplified time phases. Without access to more individuals from A/I and F/I, there is no current means of investigating these site areas without combining them with A/II for investigating site-wide patterns between sexes and simplified time phases. Within Area A/II, there is no discernible spatial patterning of differential interment arrangements between locals and non-locals (Online Resource 3).
The oxygen stable isotope results, when converted to δ 18 O dw (VSMOW), show a wide range of values, − 8.4 to + 1.9‰. The median, − 2.4‰, is close to the estimated value of Nile water pre-damming (− 2.8‰). There is a distinct cluster of individuals around that median, circled in Fig. 5, although a bimodal distribution is also observed when the data is plotted as a histogram. The enamel carbonate values, when converted to drinking water, largely do not overlap with the modern precipitation values of − 0.4 ± 1.3‰ estimated using the tool by Bowen (2018) nor the modern ground and well water samples collected by various environmental researchers which showed an average value of 2.23 ± 1.43‰. With these modern averages not aligning with the archaeological human values, the cluster of individuals around the median is used as the 'local' δ 18 O values instead.
We then use the median δ 18 O cluster along with the previously published strontium data to re-assess the 'local' values by designating any individual outside both local 87 Sr/ 86 Sr values and the median δ 18 O cluster as a non-local (Fig. 6). With both isotopic values utilized, five more individuals are deemed non-local than if only 87 Sr/ 86 Sr is used, four individuals with higher oxygen stable isotope values than the median cluster and one lower. A group of individuals separates from the rest of those sampled with low δ 18 O values and high 87 Sr/ 86 Sr values, in of lower-right corner of Fig. 6. Tabulating the number of locals and non-locals by time period, sex, and site area help visualize the relative proportions between groups (Table 3).
With locals and non-locals determined using δ 18 O and 87 Sr/ 86 Sr combined, we can compare these two groups' diet in terms of δ 13 C carb values (Fig. 7). Non-locals show a wider range of δ 13 C carb values (− 13.5 to − 9.6‰) than locals (− 12.1 to − 10.3‰). However, there are no statistically significant differences in the mean values between locals and non-locals (again, using 87 Sr/ 86 Sr and δ 18 O combined) regarding δ 13 C carb values, t(74) = 1.883, p = 0.064. There is a weak but significant correlation between δ 13 C carb and 87 Sr/ 86 Sr values, t(73) = − 3.04, p = 0.003. When plotting locals and non-locals with separate linear regression lines, locals once again show little variation in δ 13 C carb values, but non-locals display a negative relationship between δ 13 C carb and 87 Sr/ 86 Sr values (Fig. 8).
Those individuals buried in especially elite funerary traditions (and three of the attendant burials) are highlighted on Fig. 9. Four of the seven elite burials show local isotopic values. One individual (A/II-m/10 Tomb 8, Burial 1) displays 87 Sr/ 86 Sr ratio just outside the biospheric range (0.7078025 compared to the established local 87 Sr/ 86 Sr range of 0.7076128-0.7078005). Another (A/II-l/12 Tomb 5, Burial 1) displays a local 87 Sr/ 86 Sr ratio but higher δ 18 O values outside the median cluster. One of the three attendants appears to be local. All elite and servant burials display δ 13 C values within the assemblage's median ± 1.5 IQR.

Discussion
Using the group median to assign locality is not an ideal method, but the modern environmental water values were well outside the values measured in this assemblage. The modern precipitation values calculated using Bowen (2018) might not be reflective of contemporaneous precipitation due to climate shifts over time, and a larger settlement such as Tell el-Dab c a could not have relied year-round on rainwater given the arid climate. Modern ground and well water sampled in the region display values much more positive than most enamel carbonate samples analyzed in this study. Given that the settlement was on the Pelusiac Branch, Nile water might have been utilized more than well water at Tell el-Dab c a. The alignment of the assemblage median δ 18 O dw value of − 2.4‰ to the estimated pre-damming Nile River value of − 2.8‰ lends some strength to this idea.
Regarding Question One of this research (whether the oxygen stable isotope data agreed with the strontium data for who is non-local), the oxygen and strontium isotopic data are not in perfect agreement with identifying non-locals. If used alone, δ 18 O clustering near the median would not be sufficient patterning for identifying locality. When strontium   Sr/ 86 Sr values might be non-locals from geographic areas with similar biospheric 87 Sr/ 86 Sr values but a warmer climate, such as the southern regions down the Nile Valley (i.e., Upper Egypt and the Sudan). An alternative interpretation of the data is that these are locals who followed drastically different cultural habits surrounding food and drink. These four might have consumed foods and drink that had been brewed, stewed, or otherwise altered would lead them to reflect higher δ 18 O   (Brettell et al. 2012).
Question Two of this research centered on patterns in migration regarding burial location, the sexes, and time periods. Chi-square tests show non-significant differences in the proportion of non-locals between males and females, but 80% of females being non-locals deserves contemplation. All analyzed individuals from area F/I are deemed non-locals using combined isotopic values. Like many of the excavation areas, area F/I resides on its own separate tell and exhibits unique burial customs during d/1-d/2. However, with only seven individuals total from the area available for analysis during this research project, we are wary of assigning any cultural significance to this pattern.
The aim of investigating Question Three was to explore dietary differences between those born locally and immigrants  to the area, to assess whether first-generation immigrants were maintaining their culture-specific dietary habits or undergoing dietary acculturation (at least as was observable using stable isotopes analysis). Modern studies of immigrants show that dietary acculturation is multidynamic and complex, with issues such as 'traditional' food availability, desire to acculturate, and religious beliefs having effects on diet and nutrition which in turn have considerable effects on migrant health (Satia-Abouta et al. 2002;Satia 2010;Spallek et al. 2011). In regard to investigating diet and migration using stable isotope analysis, δ 13 C and δ 15 N values, although traditionally considered 'dietary' isotopes, have been utilized as evidence for immigration in other archaeological contexts (Cheung et al. 2017;Stantis et al. 2016). With no collagen preservation in any bone or dentine samples tested, most dietary inquiries had to be abandoned within this research.
The expression of cultural heritage through cuisine was greatly limited with only δ 13 C carb values to compare. Though there was a wider range of stable isotope values in non-locals, there were no significant differences in the mean values of the two groups. With δ 13 C carb values obtained from the same enamel sample used for strontium and oxygen stable isotope analysis, these dietary values are representative of the same time period of tooth formation as when the individual showed non-local values; i.e., these δ 13 C values are representative of the foods consumed when these individuals lived outside the northeastern Nile Delta. That the δ 13 C values show non-local individuals as a heterogeneous group reflects the varied origins of the non-locals in the Tell el-Dab c a assemblage. The similar mean values between the locals and nonlocals echoes the similar isotopic profile of diet in Bronze Age Egypt and the Near East of a major reliance on C 3 -photosynthetic crops and fodder for animals, with some small proportion of wild C 4 plants for subsistence and fodder as well as limited marine input. There were significant differences between time periods in δ 13 C carb values, but that statistical significance may have little interpretive value, given that the mean values for the pre-Hyksos and Hyksos time periods are − 11.6 and − 11.2‰, respectively.
With 87 Sr/ 86 Sr ratios ranging from 0.70751 to 0.70860, those individuals with the higher 87 Sr/ 86 Sr ratios in the assemblage might originate from the coast of the Mediterranean Sea, which has a Holocene composition around 0.7092 (Schildgen et al. 2014). If a positive correlation between δ 13 C carb and 87 Sr/ 86 Sr were present, coastal life and marine consumption could have been hypothesized. With a negative correlation between these values, another explanation is needed. The negative correlation between δ 13 C carb and 87 Sr/ 86 Sr values might be because non-locals from homelands with lower 87 Sr/ 86 Sr values might have incorporated more C 4 plants such as wild sorghum (Sorghum bicolor) and pearl millet (Pennisetum glaucum) into their diet. Wild sorghum has been found in about 40% of Neolithic and Bronze Age sites in Nubia (Fuller 2014), and so this slight change in δ 13 C values might be associated with people originating from the south. There is wide variability in biogenically available strontium due to the heterogenous and complex geological formations along the Nile Valley (Said 2017). Although the Nile River creates somewhat homogenous values as the main source of drinking water and alluvial deposits, individuals outside the catchment might show variable 87 Sr/ 86 Sr ratios and rely on a diet varying from the local Tell el-Dab c a cuisine. With issues of equifinality and a lack of a biospheric map, it is difficult to confidently postulate a cause for this pattern between δ 13 C and 87 Sr/ 86 Sr values.
Isotopic investigation of mobility identifies first-generation immigrants into the northeastern Nile Delta at Tell el-Dab c a, but funerary customs instead give insight into those people who, whether recent immigrants or not, identify with these cultural groupings. One of the most finely appointed burials at the site, A/II-l/12 Tomb 5, Burial 1, with his five equids and two potential attendants buried outside the constructed tomb filled with imported and locally sources goods, is among the individuals with δ 18 O values higher than the local values. A diet consisting mostly of exported food and drink could be theorized for the local strontium values and non-local oxygen values; a similar pattern was observed in the remains of the English ruler King Richard III and the consumption of imported wine was hypothesized as the cause (Lamb et al. 2014). Wine and olive oil were highly prized imports from the Levant at this time period (Marcus 1998;Marcus 2007). However, as a sample of enamel from his second molar was selected, large consumption of imported wine and oil during early childhood seem unlikely. The other two equid burials analyzed in this study (A/II-n/13 Tomb 8, Burials 1 and 2) appear to have spent their childhood in the Nile Delta, but were buried in a custom that has ties with the Fertile Crescent and Levantine cultures (Prell 2019b). One of the dislocated individuals (potential attendants) found on top of the equid burials at the entrance pit of A/II-l/12 Tomb 5 displays isotopic values suggestive of being local, while one appears to have spent his childhood elsewhere. The majority of the 'elite of the elite' burials analyzed here show evidence of being born and raised in the northeastern Nile Delta. Four out of seven display local isotopic values, five if A/II-l/12 Tomb 5 Burial 1 is viewed as a local consuming imported goods.
Burial style and grave goods are a longstanding method of identifying migrants through evidenced practice of cultural transmission (Laneri 2007), and the isotopic results in this study suggest that even individuals born and raised in the northeastern Nile Delta continued Levantine burial customs. When initially settling down in the Eastern Delta, those migrants adopted some Egyptian features, such as tomb architecture, wooden coffins, and Egyptian pottery, in their burial assemblages. Nevertheless, they never denied their heritage as is shown by the inclusion of Levantine weapons or equid burials in front of the tombs (Prell 2019a;Prell 2019b), before more or less exclusively returning to their traditional customs in the pre-and Hyksos period.
Regarding the final question of this paper, there appear to be no trends in isotopic values associated with those buried in the most elite burial customs nor those buried as attendants. However, it must be noted that the sample size addressing this specific question is small and so interpretive value is somewhat limited. Patterns in terms of common origins do not emerge with isotopic analysis; instead, sociocultural contexts and ideals appear to have been more influential in the shared burial customs in these elite tombs and their attendants. Indeed, a mix of locals and non-locals (presumably those born in the Levant or perhaps even further northeast) following elite funerary customs demonstrates some cultural continuity in this form of signifying identity and displaying socioeconomic power.

Conclusion
Human dental enamel, dentine, and cortical bone were analyzed for δ 13 C (collagen and carbonate), δ 18 O, and δ 15 N. Collagen from bone and dentine did not survive the burial environment for stable isotope analysis, but δ 18 O and δ 13 C from carbonate provided some evidence of diet and mobility in the northeastern Nile Delta. In conjunction with previously published 87 Sr/ 86 Sr data, we found the majority of the assemblage to be non-locals, with a greater proportion of women and pre-Hyksos period individuals compared to males and Hyksos period individuals, respectively. Should any researchers find themselves with the opportunity to isotopically analyze other Tell el-Dab c a individuals, we do not recommend the destruction of bone or dentine collagen for stable isotope analysis.
A limited range of δ 13 C values suggest a diet reliant on C 3 crops, in line with the expected Egyptian diet. Non-locals showed wider range of δ 13 C values both above and below the 'local' range, suggesting variance in food acquisition and preparation by some non-locals, but largely no difference in diet were discernible between locals and non-locals. If the non-locals originated from the Levant, a similar diet reliant on C 3 crops would be expected and so the lack of variance observable using δ 13 C values is not unexpected. Further avenues of dietary analysis (e.g., dental pathology as evidence of diet) to compare Bronze Age Levantine and Egyptian diets may help define and differentiate the two groups archaeologically.
Focusing on the isotopic profiles of noted individuals within the assemblage, we see both locals and non-locals being buried in elite Asiatic style. This is suggestive of burial customs continuing as practice in Egyptian-born Asiatics.

Declarations
Competing interests The authors declare no competing interests.
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