Introduction

Mercury is a global pollutant that is released to the environment from both anthropogenic and non-anthropogenic sources. Given its chemical properties, once it is available in ecosystems it is prone to bioaccumulation and biomagnification in food chains1,2. Mercury is considered one of the most potentially toxic metal elements3. There is no biological known function for it and it is harmful even at very low doses. This is the reason why the WHO considers mercury as an element of global public health concern4 and its toxicology and environmental cycling have been widely researched and monitored.

Mercury toxicology is complex, as it has different chemical species that do not necessary share absorption pathways neither behaviour inside the organism5,6. This variability leads to a wide range of target organs and clinical symptomatology, which can also be affected by dose, time, and route of exposure7. Mercury acute intoxication can damage permanently the nervous system, cause renal toxicity, myocardial infraction, immune malfunction, and irregular blood pressure, or in the worst of the cases it can lead to death8. However, acute intoxication with mercury is rare and the main health risk is related with chronic exposure. Chronic exposure is one of the major concerns among other reasons because of the damage that can cause in embryonic development through its impact in central nervous system formation8. Acute and chronic/environmental exposure have normally different target organs. When exposure is due to environmental levels, mercury mainly accumulates in kidneys and liver9, while in acute or occupational exposure high concentration can also be found in the central nervous system10.

Although most of the population is exposed to low-dose chronic mercury levels (i.e. environmental), mercury toxicology studies have been carried out mostly on high-level acute effects11. Severe mercury poisoning, also known as Minamata disease, has visual signs and symptoms that develop quickly. For years, the main interest has been focused in monitoring acute mercury poisoning, to eliminate direct sources of pollution. However, and once this problem has been more addressed, research has begun to consider chronic and environmental exposure in its focus. At this time, it has been realized that even at low doses, exposure has serious consequences for health, direct ones or by increasing the symptoms and severity of other ailments. Research dealing with the consequences of long-term and low-level exposure, primarily related with the environment, is still scarce. Low environmental levels may be also ultimately linked—in most cases—with anthropogenic sources, which means that the environmental impact of humans and their health consequences are closely related. This cause-effect interaction has been proposed as a promising tool in Environmental Health studies12. We have also indicated the interest of considering this interaction in the past13, to improve our knowledge about health consequences of mercury environmental pollution along history.

Mercury patterns and trends in the past have been studied through natural archives, among others lake and marine sediments, peat, and tree rings (see a review in14). They show that anthropogenic mercury pollution dates back at least to 3250 BCE (Copper Age) from South Iberian Peninsula15, while the first evidence of mercury atmospheric pollution dates back to c. 1400 BCE at Peruvian Andes16. There is also evidence of mercury mining in Almadén (SE Spain), the largest mercury mine known in Antiquity, from BCE 530017. In our region of study (NW Spain), a reconstruction of the atmospheric mercury levels suggested that atmospheric mercury pollution started by 500 BCE18, right near the onset of Iron Age mercury mining in Spain. This work also reveals a more intense impact of the Roman Empire economy in atmospheric mercury pollution—due to extensive mining-metallurgy—and a later decreased after the Germanic invasions (post-Roman period, i.e. where our samples belong). Anthropogenic mercury atmospheric pollution showed a steady increase from the Islamic period (8th to 11th centuries CE) until the Modern era, when pollution increased exponentially. This research18 and later investigations using short peat cores spanning the last 150 years19, showed that the highest pollution levels occurred during the Industrial Period (i.e. last 300–350 years), reached a maximum around 1980s CE and then started to decreased. However, the analysed archives provide little information about the direct impact of mercury pollutant on biota, which is the most affected by mercury toxicity. Recently, we have proposed archaeological human remains as suitable archives13,20 to investigate the impact that changing mercury loads to the environment had in past-populations, especially on pre-industrial times. These works13,20 show the same trend previously found by18 in their paleo-reconstruction of Hg atmospheric levels, with Roman populations showing significantly higher mercury (and Pb) concentrations in skeletal remains than post-Roman populations. These studies confirm post-Romans times as a period of low environmental Hg levels. Nonetheless, preserved archaeological human remains are mainly skeletons that have been buried for long periods of time—much longer than the individual’s life. At this point, two aspects have to be considered: (1) bones are not the target organ for mercury, and (2) bones can be affected by diagenetic processes in the burial environment.

One of the major issues when studying trace elemental composition in archaeological human remains is diagenesis21. Where does the studied element come from? Was its incorporation post-mortem or pre-mortem? These issues must be also considered when researching mercury. Mercury can be absorbed during life through different ways depending on mercury chemical species and path of exposure5,6—skin contact, ingestion, inhalation, etc. Regarding post-mortem incorporation, it can be related to funerary rituals involving mercury-containing pigments22, from soil in burial areas with mercury ores23 or by transfer from target organs during body decomposition. To our knowledge, there is a handful of studies that deal with mercury in past populations13,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41, and only a few assessed mercury diagenesis in burial context13,22,23,31,36,41 by analysing punctual soil samples associated with the bones and graves. 42approached mercury distribution vertically and horizontally in soil with respect to femur in three burials (nv = 5–6, nh = 5–6, per individual) in a medieval cemetery in Denmark. They found that there was no evidence of diagenetic incorporation of mercury in bone from the soil. However, to our knowledge, there are no systematic studies that analyse detailed transects throughout the body. Previous works also do not consider the variation in Hg content in relation to sources and soil components involved in Hg retention. Mercury in these studies is usually explained alone, ignoring the importance of the relationship between elements in geochemical studies. Since bone is not a mercury target, as it mainly accumulates in liver and kidney5, a question remains opens: how is mercury distributed in burials contexts and which are the factors controlling its distribution?

The current research aims to answer this question by modelling mercury distribution in the soil/sediments of two post-Roman-Early Medieval burials—one single (T1 with the skeleton L01) and one double (T5 with the skeletons L06 and L07)—from the archaeological site of A Lanzada in NW Spain. We used partial least square regression modelling (PLSR) for the first time in analysing mercury from archaeological soils. For this purpose, soil/sediment samples were collected inside and outside two burials. Fine earth and silt + clay fractions have been analysed from two transects in each skeleton (W–E and N–S) intended to cover the more likely gradients of mercury concentrations regarding distance to target organs. We have done a multi-sampling research in a small area (46 samples from 5 transect along 3 skeletons from two burials) to better address variability. The objectives of this modelling effort are: i) to elucidate how mercury soil concentrations vary inside and outside the burials; ii) how does burial context (single/multiple burial) affects total mercury content in soil; and iii) which other factors are involved in mercury release and retention in the soil/sediment.

Results

The fine earth fraction samples showed very low Hg concentrations (median = 2.6 ng g−1, IQR = 1.7 ng g−1, relative error average = 47%). Mercury concentrations in the silt + clay fraction varied from 14 to 24 ng g−1 for L01, 12 to 39 ng g−1 for L06 and 6 to 33 ng g−1 for L07 (Table 1). Thus, concentrations in the finer soil fractions (i.e. silt + clay) are up to tenfold the average of the fine earth mercury concentrations. Silt + clay mercury concentrations in samples outside the burials ranged between 6 and 23 ng g−1 and those inside the burials between 12 and 39 ng g−1.

Table 1 Summary of Hg concentration in silt + clay fraction per individual (ng g−1).

Given the low concentrations in the fine earth, the PLSR analysis was performed on the silt + clay fraction, despite it represents a small part (0.26–12%) of the bulk soil. A summary of the values for the elements in the predictors’ matrix can be found in Table 2. A PLSR model with three latent variables (LV) accounted for 72% of Hg variance (Fig. 1 SM), corresponding 41% to LV1, 14% to LV2 and 17% to LV3 (Table 3). The model regression coefficients were 0.32 β1, 0.31 β2, 0.73 β3 (Table 3). Figure 1 shows the relative weight of the LVs on the prediction of each sample. In general terms LV1 > LV2 > LV3, being the weight of LV3 relatively low for most of the samples. LV1 is characterised by positive loadings of Cu, Zn, and N and negative loading of Ca, Sr, and module (Table 4). LV2 shows positive loadings for P, C, Ca, and S and negative loadings for Ti and Fe (Table 4). LV3 is characterised by positive loadings for U, and S and negative loadings for P, and Mn (Table 4). Positive LV1 scores, were found for samples collected inside the burials, while negative scores were found for samples collected outside the burials (Fig. 2). LV2 positive scores mainly correspond to samples from burial T5, except for the most distal samples of the longitudinal transect of L07 (Fig. 2). LV3 scores show a more irregular pattern, showing positive scores on samples located in the thoracic area of the buried individuals (Fig. 2). The model residuals are low, with somewhat higher overestimation in the proximal samples of the L06 individual of T5 (Fig. 3).

Table 2 Summary of the elements selected as predictors (mg kg−1).
Table 3 PLSR summary. R2 = 0.72.
Figure 1
figure 1

Latent variable predicted relative weight for each sample.

Table 4 Matrix P (X-loadings).
Figure 2
figure 2

PLSR X-scores for each of the 3 LV.

Figure 3
figure 3

PLSR model residuals.

Discussion

The low mercury concentrations of the fine earth samples are in agreement with previous studies in non-polluted soils43,44,45,46 and are consistent with the predominantly sandy grain size of the samples and the absence of mercury mineral phases. The silt + clay fraction, on the other hand, is usually enriched in organic matter and metals47.

The PLSR model obtained for the silt + clay fraction provided three main latent vectors, i.e. underlying processes, that account for a significant proportion (> 72%) of the variation in mercury concentrations in the two burials. LV1, which explains the largest amount of mercury variability (Table 3 and Fig. 1), accounts for differences between inside and outside the burials (Fig. 2). LV2 can be related to differences between the two burials (Fig. 2). LV3 seems to be due to within burial variability related to the proximity of the soil samples to areas where larger body mass (i.e. thoracic) was present (Fig. 2). Residuals showed no-clear pattern (Fig. 3) and can be linked to micro-scale soil variability.

The LV1 variables with positive loadings (Cu, Zn, N) are related to the abundance of organic matter in the silt + clay fraction. Copper and Zn are known to bind to the organic matter (OM) and clay48 and N can be related to the total amount of OM49,50. Indicators with negative loadings include elements related to carbonates content (Ca and Sr) that can be linked to the presence of mollusc shells remains—note that the area is by the sea—and location within the burial (module). The positive regression coefficient for this LV indicates that mercury content increases with organic matter content, which is clearly higher inside the burials (Fig. 4C). Many investigations have shown that mercury in soils and sediments is correlated to organic matter content14,51. This can be seen as a sort of fingerprint of the individuals that also affected the mercury content (Fig. 5). The buried bodies most probably were both the source of the organic matter (together with the wood coffin) and the source of the mercury, which has accumulated in the finest and most reactive soil fractions (i.e. OM and clay minerals). The original substrate is a dune dominated by silicic sand with biogenic carbonates that lacks the capacity to retain mercury. This is consistent with the low Hg concentrations in the samples outside the burial environment (both in the fine earth: median = 1.6, IQR = 0.8 ng g−1; and the silt + clay fraction: median = 12.1, IQR = 3.6 ng g−1).

Figure 4
figure 4

(A) and (B) Aerial view of A Lanzada with the approximated situation of the graves (A) modified from79, https://bit.ly/3FwpZrE; (B) modified from80, https://bit.ly/3BBqxKy. (C) Sampling model. In T1 the gray arrow represents the organic matter flow from inside the tomb to the surrounding area.

Figure 5
figure 5

Mercury sink and sources from human exposure to burial/lixiviation in the soil through human body inhumation.

The LV2 indicators with positive loadings are P, C, and Ca, all constituents of the bone mineral component (i.e. hydroxyapatite), and S, which is a proxy of body decomposition. Among the indicators with negative loadings, Ti is indicative of soil fine fraction (i.e. clay)52. Iron is representative of major soil components (iron oxides) but also increases in the clay fraction as secondary oxy-hydroxides. LV2 scores are systematically positive in the double burial, T5, with the exception already mentioned before (distal samples in the L07 transect). This means that the fine soil fraction has higher concentrations of elements typical of the bone mineral matrix and S containing compounds than the same fraction in T1 burial. This difference most probably reflects the fact that T5 contains two individuals (an adolescent and a mature adult)—with a priori higher bone and soft tissue mass interacting with the soil components—and T1 contains only one individual (a single burial). The weight of LV2 in the samples is systematically positive in L06 individual, while it is negative in L01 and shows an irregular pattern in L07 (Fig. 1). The regression coefficient for LV2 is positive meaning that mercury content is higher in T5 burial compared to T1. The link between mercury and the other elements can be chemical bone alteration and sulphur compounds availability during early body decomposition.

Sulphur-containing amino acids (i.e. cysteine, cystine, and methionine) are subjected to desulphydralation by gastrointestinal microorganisms (i.e. sulphate-reducing bacteria) during body decomposition, producing the release of hydrogen sulphide gas, sulphides, ammonia, thiols, and pyruvic acids49. Given that during the main phase of tissues breakdown the tissue mass keeps anoxic49 and Hg tends to precipitate as its sulphide form51, HgS compounds can be expected in these environments. 37also hypothesised about this option, but provided no explanation for it. HgS compounds have extremely low solubility51, which will prevent from lixiviation, contributing to Hg retention in the burial environment. Thus, soft tissues decomposition may play a role in Hg release, as primary source (Fig. 5), but they are also key in providing compounds involved in Hg retention and accumulation in the burial environment.

Bone tissue acts as a sink for some elements during body decomposition21 and then as a source to the burial environment, altering the elements that are released and accumulated in the finer, more reactive, soil fractions. Indeed, bone is a potential primary and/or secondary source of mercury to the soil of the burial; while soft tissues are the primary source both to soil and bone (Fig. 5). A fact that is in agreement with the recent finding that mercury can be stabilised in bioapatite as (Hg)3(PO4)227. Furthermore, it could explain why mercury concentration in archaeological bones is higher than the concentration found in actual bones from autopsies and biopsies53,54—although lower contents in recent bone can also be due to lower exposure as today environmental loads are much more controlled. The higher the bone mass the higher the transfer of mercury to the soil. 42also suggest that mercury distribution in the soil could be affected by burial context when graves are placed closed by as interactions between them cannot be excluded. In our case, T1 and T5 burials were far apart (~ 4 to 5 m) and with no other graves over or close to them. Another factor that should also be considered is that the overall mercury content of the individual in T1 compared to that of the individuals of T5 may have been different depending on environmental exposure during life. In a previous investigation, bone mercury content for individuals of the same period as those studied here varied between 4.6 and 299.9 ng g−113.

The LV3 indicators with positive loadings are U and S. Uranium can be related to the geology of the area and has a high affinity for bone phosphates55,56, while S is a proxy for early stages of body decomposition, as previously mentioned in LV2 interpretation. Indicators with negative loadings are P, an indicator of bone alteration55, and Mn, a proxy for redox conditions57. The majority of samples with positive LV3 scores corresponds to those collected in the thoracic area of the three skeletons. The weight of LV3 tends to positive in samples of burial T5 while it does not show the same pattern in burial T1 (Fig. 1). This can be reflecting difference between burials. As already commented, the most important mercury target organs (kidneys, liver) are located close to the thoracic area5, which also contains the higher body mass—in comparison for example with the limbs or the head. Thus, differences in mercury content between soil close to thoracic area and soil close to the rest of the body would be expected. Furthermore, proteins forming the kidneys and liver start its putrefactive changes at early stages of body decomposition, while epidermis and muscles are more resistant to breakdown49. It is also likely that the higher content of Hg in this area is related with the higher availability during early body decomposition of both mercury and S compounds. Since the process takes place in the earliest stages of body decomposition the non-putrefied tissues would produce a confined environment and decrease mercury leaching. The negative loadings of P in this LV may also support this interpretation, as the soft tissue/bone ratio should also be higher in this body area and thus with lower net transfer of P to the soil. We speculate that “thoracic area” effect may be even more pronounced in graves with high mercury levels (i.e. periods with higher mercury levels of pollution and/or individuals which suffered an acute intoxication, among other causes).

As already commented, the model residuals showed no clear pattern (Fig. 3) and can reflect soil microscale heterogeneity.

Diagenesis is of major concern when trace elements are studied in archaeological bones, as there is the potential for the soil to be a source of elements for bones30,55. But works which assessed mercury diagenetic incorporation into bone in archaeological burial environment22,23,31,41,42 conclude that mercury bone levels were no related with diagenesis, unless the soils were naturally enriched in mercury. In a previous investigation in the same archaeological site we already reported very low mercury contents in soil (a pedo-sedimentary sequence produce an average of 0.9 ± 0.7 ng g−1) in comparison to bones of individuals of the same period as those of the present study (20.6 ± 23.5 ng g−1)13. Our PLSR model also supports the idea that the soil was not a significant source of Hg for buried bones. The situation seems to be rather the opposite; the buried individuals were most probably the source of the mercury accumulated in the soil (Fig. 5). In the particular case of our study, the decomposition of the buried bodies seems to have triggered a number of processes—developing a positive feedback mechanism—that lead to the rapid evolution of the parent soil material (i.e. sand dune), contributing to mineral weathering (i.e. decarbonation), clay formation and organic matter enrichment, creating the necessary conditions for the retention of the mercury released during the decomposition of the target organs (i.e. liver and kidney).

Conclusions

In the present research we approached mercury distribution in burial environment through PLSR modelling of elemental composition of soil/sediment samples. The fitted model explains 72% of mercury variability. We have obtained three main conclusions. i) Our data confirm human bodies (soft tissues and bones) as sources of mercury in burial environments, as well as sources of organic matter which also contributes to mercury fixation. Soil seems to have not been a source of mercury for the skeletons, since mercury levels in samples surrounding the burials were very low when compared with those inside burials. In addition, ii) burial context seems to affect mercury distribution. We found differences that could be explained by the number of individuals buried together, as the body mass (i.e.: soft tissues and bones) is related to mercury content in the burial soil. iii) The thoracic area seems to produce a further local enrichment in Hg, most probably due to its release from target organs and its retention in the reactive soil fractions (organic matter and clay).

The obtained findings remark the importance of analysing soil/sediment associated to the burials in order to provide complementary information that can be key to understand some processes. Regarding the analytical procedure, we much encourage to analyse the finer (silt + clay) fractions when researching sandy soil/sediments, because this fraction is the most reactive and has better potential to contain information related to the body/soil interactions. In addition, the study of individuals/sites with low mercury levels can produce high quality results and complement those made in high polluted environment.

According to our results, soil/sediments from cemeteries can be significantly enriched in mercury compare with nearby ones. A fact that should be taken into account when describing soil properties or when those areas are having a new agrarian use. In addition, to assess the mercury content of an archaeological soil from a necropolis the proximity to the thoracic area of the skeletons can bias the obtained results.

Further research in mercury on soil/sediments associated to skeletons could help to achieve a better understanding of how mercury is distributed in these particular environments. Other questions such as how different burial contexts can affect mercury distribution in graves and how soft tissues affect it, remain open. Sulphur compounds, possibly related to body´s amino acids like methionine and cysteine, seem to contribute to Hg fixation—to analytically find these HgS compounds would be a necessary step in future research. HgS compounds are highly stable, limiting mercury release to the environment– even when the total amount is small. Therefore, to identify these compounds can help to prevent mercury release in individuals/cemeteries with high mercury concentrations.

Material and methods

Soil/sediment sampling

Soil and sediment samples of two post-Roman (AD 5th century) burials (T1 and T5) from A Lanzada site (Sanxenxo, Pontevedra, NW Spain, 42° 25′ 46″N 8° 52′ 25″W) (Fig. 4) have been analysed. A Lanzada is a well-known archaeological site with a widely studied necropolis (see among others13,20,55,58,59,60,61,62,63). However, there is only an unpublished work about soil/sediment geochemistry64. Geologically, A Lanzada site is a dune that was subject to anthropic alteration—at least since the BC 2nd century—that reduced its dimensions65. The site was discovered in the 18th century and was mainly excavated during the 1960s and 1970s. Most of the effort during the earlier excavations was done in the necropolis. It is placed in the East side of the site and has two funerary areas—Roman and post-Roman62. Neither a pedological study nor sediment-soil sampling was developed during those campaigns and information about the soil characteristics where bodies were inhumated was based on photographs and colour changes in the bones (see55). Skeletons were found in both dune sands and earth (i.e. acidic soils) independently of the funerary area55. Little effort was performed in the settlement area placed on the West side of the site, but recent campaigns in 2010 and 2016–2017 were mainly developed here.

The last excavation campaign took place in 2016–2017 and comprised the settlement area with houses occupied from the Late Bronze Age (~18 century BC) to the Late Iron Age-Early Roman Period (~ 1st century BC-AD). On the East margin of the excavation area a more monumental structure was discovered and dated to post-Roman times according to the archaeological material (~ 6th to 7th century AD). It was preliminary described as a church due to the monumental size of the walls65. Two coffin burials were discovered close to this structure and belonging to the same archaeological layer—named as T1 and T5. They were West–East oriented and radiocarbon dating indicates the individuals died between the 5th to the 6th centuries cal. AD. Both burials seem not to be related to the funerary areas previously found. T1 is a single burial containing a skeleton from an elder (> 60 years) female (L01). T5 is a multiple coetaneous burial containing two male skeletons, an adolescence (15–19 years) placed West–East (L06) and a mature adult (40–50 years) placed East–West (L07). All were in supine position with stretched arms and legs. Bodies were deposited presumably inside wood boxes (i.e. coffins) since nails were found surrounding the skeletons. The three skeletons were well-preserved, presenting the following abrasion degrees (according to66): L01 degree 3, L06 degree 2, L07 degree 2. Despite L06 and L07 low superficial abrasion degree and general good preservation, these skeletons have intense physical (pressure) and chemical alteration in localised areas (L06: face and feet, L07: long bones epiphyses), which results in the loss of some of the bones/bone areas67.

Both burials were excavated in the dune. A clear colour pattern of rectangular shape was evident in both burials, marking the area delimited by the wood coffins (the nails were found at the edges). The colour is most probably related with increased organic matter content (Fig. 4C). The sampling design consisted of one longitudinal and one transverse transect on each individual plus some additional samples taken from the inside the crania, and on L001 coxal area (Fig. 4). All samples have been taken on the field except for the additional ones, which were collected from soil adhered to the bones once in the laboratory. In total 46 soil/sediment samples were collected and analysed. Given that sample position is susceptible to affect mercury concentration, it was recorded using the longitudinal axis of each skeleton (Fig. 4). Sample coordinates were refereed to this reference axis and module was used as predictive variable.

Elemental composition analysis

Mercury content was analysed in two fractions, fine earth (< 2 mm, FE) and silt + clay (< 0.05 mm, SC). The samples were previously dried (25 °C) and finely milled (< 0.5 mm). Mercury concentrations were determined using a DMA-80 (Mileston) hosted at the laboratory of the Ecotoxicoloxía e Ecofisioloxía Vexetal research group (Departamento de Bioloxía Funcional, USC) following the protocol described in13. BCR277R (128 ± 17 ng g−1) was used as certified reference material. The quantification limit was 0.51 ng g−1. Mean recovery for BCR27R was 91% (116 ± 17 ng g−1). Quality control has been done in 13 samples, reporting a relative error average of 6.37% for silt + clay.

Elemental composition analysis was carried out on dried (25 °C) silt + clay samples using two energy dispersive X-ray fluorescence (EMMA-XRF) analysers68,69 hosted at the RIAIDT facility of the Universidade de Santiago de Compostela (USC). This non-destructive technique provided concentration measurements for 10 elements (P, S, Ca, Ti, Mn, Fe, Cu, Zn, Sr, and U; see Table SM 1 for detection limits). Carbon and N analyses were done using a LECO (TruSpec CHNS) hosted at the Elemental Analysis Service of the RIAIDT in Campus Terra (USC).

Nitrogen was selected as a direct proxy for organic matter content (OM); Cu and Zn as indicators of metal enrichment in soil fine fractions bounded to OM and clay; Ca and Sr as proxies of biogenic carbonates, due to the presence of mollusc shells. The association of Ca, P and C is an indicator of the presence of bone, as these elements are the major constituents of bone mineral component (i.e. hydroxyapatite). Sulphur is used as proxy for OM forming strong bindings with Hg; Fe a major soil component; Ti is a proxy for fine grain fractions, and Mn is used as a proxy for red-ox conditions. Finally, U is characteristic of the geology of the area and presents high affinity for phosphate groups (i.e. bone mineral matrix).

Statistical methods: partial least squares regression modelling

To understand mercury distribution in the soil we used Partial Least Squares Regression (PLSR)70. The elemental composition data set (elemental concentrations in the silt + clay fraction; see explanation in the results section) was used as predictors while Hg concentration was set as response variable. Zero imputation has been performed for those cases where the element concentration was below the detection limit following the robust method proposed by71. Due to the compositional nature of our data the data set was transformed to centered log ratios (clr)72 and scaled70. The main purpose of the PLSR modelling was the identification of the latent variables (i.e. processes) that affect Hg distribution and their weight in the soil samples. The model was performed using leave one out cross-validation without splitting the data in training and test sets to avoid the loss of relevant information and its explanatory power.

Statistical analyses and graphs were made using software R73, packages: {robCompositions} for zero imputation using ‘lmrob’ method74, {rgr} for clr transformation75, {plsRglm} for PLSR model76, {ggplot2} + {ggpubr} for graphics77,78.

See SM for: PLSR data set, ŷ values, T matrix and W* matrix.