Post-Depositional Alteration of Calcium Carbonate Phases in Archaeological Ceramics: Depletion and Redistribution Effects

: The ﬁnal stage in the life history of prehistoric pottery prior to archaeological recovery is usually the longest, and frequently the most dynamic. The remains of archaeological ceramics spend hundreds to thousands of years deposited within the upper layers of the earth’s crust where they encounter the same diagenetic environmental processes as the surrounding natural materials. Harsh conditions of subterranean environments induce physical stresses and chemical reactions, causing alterations of ceramic structure and composition. This is especially true of carbonate-rich ceramics, as carbonate phases are soluble when deposited within acidic environments. This paper examines common carbonate depletion and accretion effects of post-depositional environments on ancient ceramics from two rather different geological and archaeological contexts: Mesoamerica and the Mediterranean. Potters in both regions produce vessels with carbonate-rich materials—clays, calcite, limestone—that alter due to long exposure to low-pH sediments and continual water table ﬂuctuations. Ceramic petrography is employed to identify traces of carbonate alterations within ceramic microstructure and to characterize fabrics. Elemental compositions of the same sherds are characterized through either scanning electron microscopy coupled with energy-dispersive spectrometry (SEM-EDS), inductively coupled plasma mass spectrometry and optical emission spectrometry (ICP-MS/OES) or neutron activation analysis (NAA). This method enabled comparison of the differing effects of post-depositional alteration of carbonate phases on bulk composition signatures commonly used to determine provenance.


Introduction
Be they pot, brick or mortar, ceramic materials have been commonplace in human societies for millennia. These materials were a key, if often mundane, part of everyday life. Due to their resilience against natural decomposition, ceramics are found in abundance during archaeological excavations. They have become pivotal in our attempts to understand behavior and societal life in the human past to such an extent that entire conferences and academic societies are dedicated to ancient ceramics. Neff [1] (p. 1) suggests that a reason archaeologists became so seemingly "inordinately concerned with ceramics" is mainly one of pragmatism. Clearly, beyond the ubiquity of archaeological ceramics, the use of geological and organic raw materials in their production leaves traces of human behavior-including interactions with environments, economics, knowledge transfer, skill, and links to cognitive processes such as aesthetic choices and ritual behaviors.
With the use of many instrument-based analytical techniques, archaeologists have been able to add a greater degree of precision and accuracy to their physical and chemical assessments of ceramic materials, thus opening up additional avenues for research into the human past. Studies of material provenance and reconstructions of past technologies are two mechanisms that archaeologists use to glean cultural and behavioral information from ceramic materials. Both attempt to answer several basic archaeological questions: What is it? When was it made and/or used? Where was it made and by whom? Technological inquiries go the extra step by attempting to determine how it was made, what were the steps used in production, how production processes affect material properties and whether any of these aspects change over time.
Typically, only small portions of archaeological ceramic materials are available for the kinds of destructive analyses used to determine chemical and mineralogical composition, either due to their rarity or institutional and governmental regulations. Therefore, it is paramount that we understand exactly what is being analyzed. Scholars, such as Rice [40] (p. 347), have urged that care must be taken in developing interpretations of ceramic material properties, including chemical and mineralogical composition, as the material being studied is the product of indeterminate years of use and reuse as well as the natural and cultural phenomena that occurred during the hundreds to thousands of years since initial deposition. She cautions that analysts must be aware that "the physical, mechanical, and thermal properties of an excavated [ceramic] may be different from those of the newly fired [product]." It was using this lens that a number of researchers over the past few decades have systematically demonstrated the potential for and actuality of chemical and mineral changes during the period between artifact deposition and recovery events [20,[41][42][43][44][45][46][47][48][49].
In an attempt to define the composition measured in ceramic bulk analyses, Neff et al. [49] (p. 202) and subsequently Golitko et al. [43] (p. 81) posit that five general hypotheses need to be considered as potential explanations of observed composition. We present an amended version of these hypotheses below: Observed archaeological ceramic composition: 1. reflects the composition of the original raw materials and is controlled by local geology; 2.
results from paste preparation techniques that have modified the original raw composition of each raw material component through the act of combining one or more clay-bearing materials with plastic or aplastic media; 3.
has been modified by use of the ceramic (e.g., cooking, lime mortar mixing, etc.); 4.
has been altered as a result of the burial environment; 5.
reflects the combination of some or all of these five factors.
In other words, ceramics are the product of cultural processes involving the manipulation and thermal alteration of geological (and sometimes organic) materials. However, archaeological ceramics add two additional components-use and post-burial environmentboth of which present unknown sources for added chemical and mineralogical variation. This means that bulk analytical characterizations of archaeological ceramics are the product not only of a combination of the geological materials and cultural input that interest us primarily, but also incurred taphonomic processes [43] (p. 81). It is the latter which in some circumstances need to be considered in order for us to achieve our aims of meaningfully investigating provenance and technology.
This paper investigates the post-depositional or post-burial effects of natural environments on carbonates, specifically calcium carbonate (calcite) and calcite-dominated raw materials, such as limestone, marl, or calcareous clays, which are frequently used in archaeological ceramics. Using a combination of bulk elemental techniques, targeted chemical microanalysis and ceramic petrography we explore how to identify and account for two taphonomic processes that can affect interpretations of archaeological ceramic compositional data: carbonate depletion and accretion. We have selected two assemblages of archaeological ceramics from very different geographic, geological and climate zones: highland Chiapas, Mexico and coastal southern Greece, as each have clear evidence for post-depositional alteration as identified through ceramic petrography and both have elemental compositional data to compare. The overarching aim of this paper is to systematically identify the potential for taphonomic changes in ceramic composition due to carbonate phase alterations and illustrate the analytical methods available to identify and account for carbonate depletions and accretions in archaeological ceramic materials.

The Structure of a Ceramic and Locations of Potential Post-Depositional Contamination
To understand the potential for post-depositional alterations of a ceramic, the structure of the material must be considered. We follow a modified descriptive system derived specifically for fired clay structures as viewed through a petrographic microscope [50,51] (pp. 364-396). This model demonstrates the complexity and composite nature of ceramic materials by emphasizing the heterogeneity and structure of the object ( Figure 1). We consider a ceramic to be composed of three discrete levels of structure: 1.
Surface treatment-any modification to the ceramic surface, including smoothing, burnishing, slip, paint, glaze, incision, stamping, scraping, or any combination thereof.
Minerals 2021, 11, x FOR PEER REVIEW 4 of 34 changes, including clay shrinkage during drying and dehydration, and the effects of sintering and vitrification of the aluminosilicate (clay) materials within the micromass. Sintering refers to the physical process of transforming a powder into a solid body using heat [61] (p. 427) and is often misconstrued in archaeological science as "vitrification" [34]. True vitrification creates a liquid phase and a disordered, glassy structure. Sintering, by contrast, is a solid state diffusion process that can happen at lower temperatures than vitrification and which typically forms crystalline structures in the finished product. The sintering process is affected by a number of factors including the chemical composition of the micromass, vapor pressure and particle radius, but the most important are the temperature and soaking time [62] (p. 473). The solidification of the raw materials into a ceramic body is highly significant when considering the potential for phase alteration postburial. It determines the porosity of a ceramic through freezing in place pores derived through forming or shaping mechanisms, unless they are filled in by extensive sintering or vitrification. Pores may also remain as empty spaces, as combustible organic material burns off during firing, or may occur due to bubble formation during the off-gassing of CO2 from carbonate materials undergoing heat-induced chemical changes such as calcination [40] (p. 350). The result of the firing process is a porous material susceptible to naturally occurring events similar to subterranean rock and mineral weathering, specifically chemical dissolution and recrystallization of minerals contained in groundwater solutions.  Diagram of a typical cross section of a ceramic object, including a slip, the paste, voids and inclusions. After [45] (p. 122, Figure 2).
In this model, individual grains are analyzed both in terms of their mineral and lithic composition as well as their shape, size, and orientation with respect to other grains and the ceramic surface. It considers individual grains in relation to their role as part of the micromass and as non-plastic inclusions suspended within the matrix. Grain size, shape, and distributions are also useful indicators of behaviors and choices made during production (i.e., tempering or forming techniques). The model also accounts for bulk and surface features, both those imposed as modifications during production and natural contaminants accumulated during the burial period of the ceramic life history. This stands in contrast to typical analytical methods, where contaminants are frequently assumed to affect only the surface layer of materials.
We pay considerable attention to the microstructural component of the ceramic system: pores and micromass. Pores, also referred to as voids, are homogeneous, bounded, discrete from other phases and are a major feature in virtually all ceramic materials [40] (p. 350). Essentially, pores are pockets of empty space bounded by the micromass alone or between individual grains and the micromass (Figure 2). Porosity is a significant factor in the performance characteristics of any ceramic material, specifically mechanical [25,26,31,53] and thermal properties [54][55][56] and provides clues for determining forming technologies used in production [57] and function [58][59][60].

Mobility of Calcareous Material in Archaeological Ceramics
Calcareous clays and clay-rich marls are often used as raw materials for ceramic production in antiquity and these are highly susceptible to post-burial alterations in the form of calcium leaching or calcite dissolution and recrystallization throughout the ceramic microstructure [45]. Calcium leaching can occur as calcareous matter from the burial environment is dissolved by groundwater that has mixed with acid compounds derived from decay of organic matter. The pH of the groundwater can be low enough to dissolve carbonates and transport them as an aqueous solution that can travel through porous media [63]. Complete dissolution would mean that all carbonates within the ceramic system are transformed from a solid into ions in solution, which then may be transported out of the system and into the burial environment. As the groundwater dries, it may redeposit alkaline matter within the microstructure of a buried ceramic. This phenomenon is termed complete allochthonous (CA) secondary calcite deposition [42] (p. 9). Groundwater with a low pH can also create a similar effect upon the micromass of a calcareous ceramic by dissolving and redistributing crystalline carbonate matter within the confines of the ceramic microstructure itself. This phenomenon is termed partial allochthonous (PA) secondary calcite deposition [42] (p. 9).
Cau Ontiveros et al. [42] describe a broad spectrum of post-burial alterations and contamination of ceramic systems and modes of identification available to archaeologists and so we will not discuss these in great detail here. However, it is worth mentioning the main types of secondary calcite deposits, or accretions, they noted: 1. Void infilling-crystalline matter located within pores and cracks that is birefringent under a petrographic microscope [42] (p. 17, Figure 1g); see also [64][65][66][67][68][69][70]71] (p. 59). Pores are particularly complex because they can be introduced and altered during various stages of production. Most pores become morphologically frozen within the micromass during the drying and firing stages of manufacture. This is due to a variety of changes, including clay shrinkage during drying and dehydration, and the effects of sintering and vitrification of the aluminosilicate (clay) materials within the micromass. Sintering refers to the physical process of transforming a powder into a solid body using heat [61] (p. 427) and is often misconstrued in archaeological science as "vitrification" [34]. True vitrification creates a liquid phase and a disordered, glassy structure. Sintering, by contrast, is a solid state diffusion process that can happen at lower temperatures than vitrification and which typically forms crystalline structures in the finished product. The sintering process is affected by a number of factors including the chemical composition of the micromass, vapor pressure and particle radius, but the most important are the temperature and soaking time [62] (p. 473). The solidification of the raw materials into a ceramic body is highly significant when considering the potential for phase alteration post-burial. It determines the porosity of a ceramic through freezing in place pores derived through forming or shaping mechanisms, unless they are filled in by extensive sintering or vitrification. Pores may also remain as empty spaces, as combustible organic material burns off during firing, or may occur due to bubble formation during the off-gassing of CO 2 from carbonate materials undergoing heat-induced chemical changes such as calcination [40] (p. 350). The result of the firing process is a porous material susceptible to naturally occurring events similar to subterranean rock and mineral weathering, specifically chemical dissolution and recrystallization of minerals contained in groundwater solutions.

Mobility of Calcareous Material in Archaeological Ceramics
Calcareous clays and clay-rich marls are often used as raw materials for ceramic production in antiquity and these are highly susceptible to post-burial alterations in the form of calcium leaching or calcite dissolution and recrystallization throughout the ceramic microstructure [45]. Calcium leaching can occur as calcareous matter from the burial environment is dissolved by groundwater that has mixed with acid compounds derived from decay of organic matter. The pH of the groundwater can be low enough to dissolve carbonates and transport them as an aqueous solution that can travel through porous media [63]. Complete dissolution would mean that all carbonates within the ceramic system are transformed from a solid into ions in solution, which then may be transported out of the system and into the burial environment. As the groundwater dries, it may redeposit alkaline matter within the microstructure of a buried ceramic. This phenomenon is termed complete allochthonous (CA) secondary calcite deposition [42] (p. 9). Groundwater with a low pH can also create a similar effect upon the micromass of a calcareous ceramic by dissolving and redistributing crystalline carbonate matter within the confines of the ceramic microstructure itself. This phenomenon is termed partial allochthonous (PA) secondary calcite deposition [42] (p. 9).
Cau Ontiveros et al. [42] describe a broad spectrum of post-burial alterations and contamination of ceramic systems and modes of identification available to archaeologists and so we will not discuss these in great detail here. However, it is worth mentioning the main types of secondary calcite deposits, or accretions, they noted:

5.
Textural deformation of the microstructure-birefringent crystallites within the micromass. Often these are observed as striations or patches within the micromass and can often obscure features within both the microstructure and groundmass [42] (p. 17, Figure 1d).
Calcite alteration and redistribution is a regularly occurring process in geological environments and the kinetics of the dissolution of calcite and calcium carbonate-bearing rocks and sediments is of great interest to geologists [78][79][80][81]. Published data suggest that the calcite dissolution rate increases steeply from pH 4 to 1, but the rate is reasonably flat across the middle of the pH scale before falling off slightly again at high pH. Grain morphology also has a large effect on the system, due to changes in surface area and the formation of surface pitting and steps, which can affect the rate of dissolution by a factor of up to 100 [78]. Temperature can also affect the solubility of carbonate ions in groundwater, although if samples are deeply buried (as in many archaeological contexts), the temperature is unlikely to change dramatically from day to day. Therefore, it is not a simple calculation to determine how fast calcite can be dissolved out of a ceramic buried in acidic soils or, in fact, whether the carbonates will be attacked.
Both crystalline calcite and calcium carbonate-bearing rocks are commonly used in the production of archaeological ceramics, but are also used in lime-based mortars. Although studies on mortars are less common than those on ceramics, several researchers have investigated the mobility of calcium ions and carbonate ions within a lime-based mortar [82][83][84]. As in traditional clay-based ceramic materials, calcium mobility in mortars requires additional research.
Archaeologists attempt to mitigate post-depositional effects by the mechanical removal of the ceramic surface exposed to the burial environment [85,86], leaving only the microstructure and groundmass in the final measured elemental signature. Unfortunately, both the groundmass and the microstructure are also prone to chemical and physical alterations that may be unidentifiable without the use of ceramic petrography or chemical microanalysis (elemental mapping) of the microstructure.

Post-Depositional Alteration of Calcite and Archaeological Interpretations of Compositional Data
If our analyses of ancient ceramics are to produce meaningful data to improve our knowledge and interpretations of past behavior and culture groups, we must fully acknowledge their material and biographical complexity. Ceramic materials-earthen pottery, refractories, cementitious mortars and concrete, porcelain, etc.-are composed of heat-treated clay-rich sediment, a porous medium often containing a large proportion of non-plastic agents. They were used by people for unknown lengths of time and for a myriad of purposes, many unknown or unidentifiable to us. After use, they spend the majority of their existence buried underground and undergo the same processes of weathering and decay as all other inorganic matter within their burial environment. Such a lengthy and complicated presence in the world means that in order to gain data reflective of human behavior and culture, ceramics require us to gather many types of information through a variety of analyses [87]. We must accept that the data we generate through any one technique contains chemical and physical residues aggregated over the span of its existence. We do this with the explicit conclusion that data derived from ancient ceramic materials are "properties that exist after years of use and post-depositional alteration; they are 'remnant,' 'residual,' or apparent properties that can be used to estimate the ancient parameters but are not necessarily equivalent to them" [40] (p. 347-348; emphasis added).
Archaeologists have tried a variety of means to mitigate the potential for postdepositional alterations affecting the results of chemical composition studies. Statistical analyses of chemical data are regularly carried out using base-10 logarithms of elemental concentrations. Use of log concentrations rather than raw data compensates for differences in magnitude between the major elements, such as Na, and trace elements, such as the rare earth or lanthanide elements (REEs). Transformation to base-10 logarithms also yields a more normal distribution for many trace elements. Though the utility of log transformations is debatable, this step puts data of all factors (i.e., per cent, ppm, ppb) on a level playing field expressed as a logratio [20,88].
Buxeda i Garrigós [20,89] further argues that variability added to a chemical compositional dataset is readily identified through the use of a total variation matrix (TVM) originally developed by Aitchison [88]. This method produces a series of variation matrices in which the sum of the variances in each column of the matrix is examined and contributes to the total variation of the element in question, which is then used as a devisor against all other elements [86]. A high ratio indicates low variability. TVM is a relatively quick technique for exploring elemental datasets and identifying analytes that present the highest and lowest variability. The element with the lowest variability can be used as the divisor to transform the entire dataset into logratios, which should help diminish any effects of variability added through post-depositional processes including elemental leaching [41,90].
Mommsen and Sjöberg [91] (pp. 361-362) argue that, since post-burial alterations may occur as accretions of matter from the environment, they may also be treated as dilutions. They state that relying "strongly" on a single element for a denominator, as with logratio transformations, is a drawback and that shifts in concentration data due to alteration or contamination should be corrected using a dilution factor. This dilution factor or "best relative fit factor" is applied to each sample within a group made of similar raw materials to fit each sample to the average concentration values of the group. This procedure should create a "better defined 'sharper' pattern" for the group, thereby shrinking the statistical spread of elemental concentration values [91] (p. 362) and reducing effects of any variability added due to post-burial alteration.
In this paper, we examine the post-depositional alterations of minerals, specifically carbonates, within ceramic material systems that are prevalent in the archaeological record and investigate how they may affect the outcome of bulk compositional analyses, chemical or physical. We argue that, in certain cases, significant accretion or depletion of mineral components used in the production of archaeological ceramic objects may lead to misinterpretations of compositional and microstructural data, even with mitigating factors in place. Such issues are problematic in developing archaeological interpretations of bulk elemental data, including construction of the reference groupings many archaeologists depend on for provenance determination and raw material characterization. Key microstructural information, including porosity, optical activity of the micromass [50] and mineralogical composition of the groundmass may be obfuscated, thus clouding investigations of technology. While some researchers have determined that some post-depositional alterations had no effect on their compositional assessment [43], others have demonstrated clear evidence to the contrary [20,41,48,90]. Provided that there is at least some potential impact on the accuracy of archaeological interpretations of ceramic data, post-depositional alterations of compositional components must be investigated and either accounted for or ruled out completely. The destructive nature of most analytical techniques compounded by misleading data can obscure our understanding of past peoples and their actions.

Materials and Methods
Two ceramic assemblages were selected for analysis, one from Early Postclassic period Chiapas, Mexico and another from the Late Bronze Age Saronic Gulf, Greece. Each assemblage consists of ceramic materials, mainly pottery, manufactured with a significant input of some form of calcium carbonate. These particular assemblages were chosen because they display evidence of post-burial alteration to carbonate matter in the form of calcite mineral depletion, accretion, or redistribution as either PA or CA calcite deposition. Each assemblage has been fully analyzed through ceramic petrography and elemental composition analysis by neutron activation analysis (NAA) or inductively coupled plasma mass spectrometry and optical emission spectrometry (ICP-MS/OES). When possible, a subset of samples was subjected to targeted microanalysis by energy dispersive spectrometry (EDS) in which we mapped the abundance of major elements within a cross-section of the ceramic system. The high resolution and magnification of a scanning electron microscope enable us to explore all crystalline carbonate matter within the groundmass and microstructure. In each case study, the results of both elemental and petrographic analyses are compared for consistency. We use a combination of optical observations of microstructures, mineralogy, and statistical procedures to investigate and resolve any compositional discrepancies.

Case Study 1: Jovel Valley Archaeological Context and Geology
The Jovel Valley is located in the Central Plateau of highland Chiapas, Mexico, where the modern city of San Cristobal de las Casas, founded in the Colonial period, occupies the valley floor. The terrain of the Central Plateau is steep and mountainous, with its highest peaks reaching altitudes of over 2800 masl; it is colloquially characterized as "tierra fria", with short agricultural growing seasons and traditionally low population densities compared to neighboring lowland polities [92]. Yet, the Jovel Valley shows evidence of human habitation from the Late Pleistocene-Early Holocene transition (12,000-9300 CalBP) onward [93][94][95] due to its rich mineral and forest resources. The Jovel Valley is the largest intermontane valley in highland Chiapas, and it was historically significant for its strategic position along long-distance trade and transportation routes across central Chiapas [96,97].
From the Classic period onward (ca. 500 CE), highland Chiapas was characterized by a network of small polities [97], many of which were continually occupied through the 9th century CE "Maya Collapse" that affected many of their lowland counterparts. The position of the Jovel Valley on the western frontier between Maya-speaking polities of the highlands and their Zoque and Chiapanec neighbors to the west is reflected in the variation of interregional influences visible in its diverse material culture assemblages [98][99][100], and even its local utilitarian pottery reflects highly variable vessel forms, styles, and production techniques [96].
The present study sample was excavated from domestic midden contexts as part of the Proyecto Económico de los Altos de Chiapas project, co-directed by Elizabeth Paris and Roberto López Bravo [96][97][98][99][100]. The project investigated two Late Classic to Early Postclassic (600-1250 CE) Maya polities, Moxviquil and CV-38. These two sites are located on opposite sides of the Jovel Valley ( Figure 3), with Moxviquil being the largest and most heavily investigated [97][98][99][100].
Minerals 2021, 11, x FOR PEER REVIEW 9 of 34 noted during excavation that bone preservation was decent, although subsequent C14 analysis revealed significant collagen degradation in some specimens; additionally, the degradation of calcareous material was visible in many ceramic sherds during excavations and laboratory analysis.

Case Study 1: Jovel Valley Methods
Thin section petrography was conducted on a total of 115 exported sherds from Moxviquil and CV-38. These sherds were exported in two groups to investigate the variability in pottery production within and across ten pottery types, including eight types interpreted as local to the Jovel Valley [92,97]. Thin section petrography methods used a modified version of Whitbread's descriptive system [105,106]. In this, detailed observations of the microstructure, groundmass, and inclusions are made and the samples are grouped into fabrics, which are collections of sherds that exhibit the same raw materials and processing techniques. The first 55 samples were given sample numbers MOX-1 through MOX-55, while the second collection of 60 were given numbers M1-M60. Only the second collection was available for chemical analysis.   This second case focuses on the effect of the alteration products on construction of elemental composition groups derived through bulk chemical analytical techniques, specifically NAA. The assemblage of ceramic materials in this case are from the first author's doctoral research project: "Ceramic Production and Exchange in the Late Mycenaean Saronic Gulf" [116]. The project examined over 350 ceramic fragments from 11 sites ( Figure  4) using a suite of chemical and physical techniques including ceramic petrography, NAA and electron microscopy. The data were used to reconstruct aspects of production technology, social organization and political economy of Mycenaean regional groups at the end of the Late Bronze Age, roughly 1300-1130 BCE. Integration of the chemical and petrographic data revealed over 30 ceramic fabric groups, several of which enabled the identification of three dominant potting centers in the Saronic Gulf at this time and regionally specialized technological practices respective to vessel type and function [111].
This paper reflects on post-depositional calcite alteration products identified in two of the most common ceramic fabrics from the Saronic Gulf study, SAR-1 and SAR-11. SAR-1 contains 133 sherds from eight sites (See Supplementary Table S1) and SAR-11 comprises 69 sherds from eight sites (see Supplementary Table S2). Carbonate alterations are frequently observed in both fabrics as PA and CA, accounting for more than 30% of total group members in each fabric. The ceramic fabrics are described in detail using a modified version of Whitbread's method for describing ceramics in thin section [50]. The sherds that make up these fabric groups were analyzed by NAA at the University of Missouri Research Reactor (MURR), Columbia, MO, USA. Samples were prepared by removing the surface of the sherd using a tungsten carbide grinding bit with a Dremel rotary tool and subsequently pulverized using an agate mortar and pestle until powder could be pressed through a 1 mm screen. Powdered samples were weighed and placed into quartz vials The Jovel Valley is a geologically diverse area, with the valley floor being limestone surrounded by karstic hills and ridges [101]. The area is also within the Chiapas Volcanic Arc (CVA), with the dome of Huitepec located on the southwestern edge of the Jovel Valley and the large dome of Tzontehuitz located 18 km to the northeast of the valley (Figure 3). These geological resources provided Maya potters living in the valley with a wide variety of materials for their pottery, including volcanic ash, calcareous material, and larger mineral grains from the breakdown of volcanic rocks.
The Jovel Valley is home to a variety of conditions that can cause significant postdepositional alteration of pottery. As with most of the west coast of Mexico, the valley has a pronounced wet-dry seasonal shift, with a rainy season typically from May through October, leading to yearly cycles in soil humidity. The valley floor is also prone to flooding, which may be a partial reason why many of the Maya sites in the region are located on ridges or high points around the edge of the valley, rather than the valley floor. Studies of the soils from highland Chiapas note high acidity (between 4.7-6.6), with a low concentration of basic ions [102]. The uncultivated lands in the area are typically Pine-Oak Forest with some microclimates of Evergreen Cloud Forest [102][103][104]. Paris and López Bravo noted during excavation that bone preservation was decent, although subsequent C14 analysis revealed significant collagen degradation in some specimens; additionally, the degradation of calcareous material was visible in many ceramic sherds during excavations and laboratory analysis.

Case Study 1: Jovel Valley Methods
Thin section petrography was conducted on a total of 115 exported sherds from Moxviquil and CV-38. These sherds were exported in two groups to investigate the variability in pottery production within and across ten pottery types, including eight types interpreted as local to the Jovel Valley [92,97]. Thin section petrography methods used a modified version of Whitbread's descriptive system [105,106]. In this, detailed observations of the microstructure, groundmass, and inclusions are made and the samples are grouped into fabrics, which are collections of sherds that exhibit the same raw materials and processing techniques. The first 55 samples were given sample numbers MOX-1 through MOX-55, while the second collection of 60 were given numbers M1-M60. Only the second collection was available for chemical analysis.
The Jovel Valley collection includes a fabric that is tempered with calcareous material, a ceramic type called San Gregorio Coarse, originally identified by T. Patrick Culbert [92]. San Gregorio Coarse is an Early Postclassic diagnostic type that is widely distributed throughout highland Chiapas, and it is still unclear whether the vessels are made in multiple locations or whether some of them were traded around highland Chiapas [106].
Meanwell's [105,106] petrographic analysis of the San Gregorio Coarse identified calcareous material in various stages of preservation within the matrix, likely due to small, localized variations in burial conditions. Within one petrographic fabric, we have examples where the calcite inclusions are intact and visible throughout the sample, examples where they are only preserved in the center of the sherd, and examples where they have been completely weathered away, leaving mineral-shaped voids. This collection, then, represented an excellent case study where the effects of calcite dissolution could be studied.
A total of 19 of 115 sherds from the exported sample belonged to the San Gregorio Coarse type; of these, 14 were available for chemical analysis in the present study. Additionally, one sherd from an unidentified type was sorted into the calcareous fabrics and was included in this study. Nine sherds were classified as C-1 fabric and are discussed in this paper (see Table 1). Sherds were sampled for ICP-MS/OES (Perkin Elmer 9000 ICP-MS; Agilent 7700 ICP-OES) measurement at ActLabs, Ancaster, Ontario, Canada. Each sherd had the surface layers removed and was then crushed in an agate mortar before shipment. Upon arrival, the samples were processed using the RX4 mild steel milling procedure and homogenized to make sure all of the material would pass a 200 mesh. The samples were then subjected to a sodium peroxide total fusion digestion procedure and analyzed with the Ultratrace 7 package via ICP-MS/OES. The digestion method incorporates a caustic acid mixture suitable for digesting all silicate matter and a subsequent sodium peroxide fusion digestion that attacks many of the typically resistant minerals including quartz and other network silicates, zircons, and iron oxides. This method is similar to that devised by Kennett et al. [107] (p. 444-446). The dissolved ceramic solution is introduced into the ICP system that utilizes a combination of OES and MS elemental quantification techniques resulting in 55 element analytes for each ceramic specimen.
As it is impossible to visually distinguish among calcareous minerals such as calcite, dolomite, and aragonite by using purely visual petrography (without chemical staining techniques), two sherds from fabric C-1 were investigated using SEM-EDS to determine the chemical composition of the carbonate grains. Microanalysis of carbonates were conducted using a TESCAN Vega3 SEM with an attached Bruker Quantax EDS (Masic Lab; MIT, Cambridge, MA, USA). Samples were impregnated with an epoxy resin and polished to 1µm and subsequently analyzed uncoated and under low vacuum (15 Pa) with the electron beam set a 20 keV. Once carbonate grains were identified, EDS chemical maps were generated to resolve the spatial distribution of major elements, including C, O, Na, Mg, Al, Ca, Fe and Ti, for 300 s. Upon the completion of the chemical maps, spot analyses were measured at the scale of 1 px within the carbonate grains at random. In this way, we were able to determine whether the carbonate grains were calcite, dolomite or magnesian calcite. Table 1. List of the sherds presented in the paper with notes on whether they were sampled for chemical analysis. N-"No, analysis not carried out"; Y-"Yes, analysis conducted".

Sample
Ware

Case Study 2: Mycenaean Fineware Pottery Archaeological Context and Geology
The Saronic Gulf is a body of water that has proved to have a major impact on social and cultural development throughout the course of human occupation of the Greek mainland. Its location between the Northeast Peloponnese and Attica enabled easy access to plentiful resources of food and raw materials to local coastal communities, as well as providing a major thoroughfare for both people and goods for millennia. The region is a unique network of intervisible islands and landforms, which promotes a sense of connectivity among its inhabitants [108] and likely led prehistoric populations to explore the islands and shores and exploit the many available natural resources.
Much of the land surrounding the gulf is composed of limestone, marl, sandstone and flysch with pockets of conglomerate, chert, as well as ophiolite outcrops in the north and west. Attica, however, is part of the Attic-Cycladic metamorphic belt (massif) and includes formations of schist, phyllite and marble [108]. The entire Saronic Gulf region additionally has large swaths of land covered by Neogene and Pleistocene marine sediments and alluvium. The island of Salamis is formed of largely similar geological components as the Attic mainland [109], while the island of Aegina, much like the Methana peninsula on the western coastline, is composed of a combination of andesite and dacite bearing pillow lavas, limestone and Neogene sediments [110] (pp. . Though only a snapshot in the long history of pottery production on all sides of the Gulf, ceramic production and distribution during the Mycenaean period provides a glimpse into the organization and development of craft in the context of early complex political economies. Ceramic studies in the Aegean show ample evidence for the mixing of raw materials, specifically clay-rich sediments, rendering raw material provenance determination to any individual source difficult [111][112][113][114][115]. However, over 50 years of continuous systematic study of comparative materials enables us to compare unprovenanced ceramic materials with assemblages with known production origins, i.e., petrographic and chemical reference groups. As with many ceramic materials from the Bronze Age Aegean, both fabrics selected for this study were manufactured using calcareous clays whose calcareous component, however, is so finely dispersed that it is not always visible petrographically in fired ceramic matrices. The granularity of these fabrics varies considerably as does their estimated firing temperatures. Lastly, each fabric exhibits evidence of calcite alterations in the fabric microstructure and groundmass. Cau et al. [42] (p. 9) note the irony in that the calcareous nature of the raw materials used to produced ceramic materials in the Aegean is also that which causes so many problems for the ceramic analyst in the present day. The burial conditions are often alluvial sediments resultant of natural weathering of calcareous rocks and corrosive marine environments providing prime circumstances for carbonate alterations and contamination to take place. The porous structure of most ancient ceramics, combined with the burial conditions, mean that the accrual of secondary calcite alteration effects a problem for all ceramic materials, calcareous or not.

Case Study 2: Mycenaean Fineware Pottery Methods
This second case focuses on the effect of the alteration products on construction of elemental composition groups derived through bulk chemical analytical techniques, specifically NAA. The assemblage of ceramic materials in this case are from the first author's doctoral research project: "Ceramic Production and Exchange in the Late Mycenaean Saronic Gulf" [116]. The project examined over 350 ceramic fragments from 11 sites ( Figure 4) using a suite of chemical and physical techniques including ceramic petrography, NAA and electron microscopy. The data were used to reconstruct aspects of production technology, social organization and political economy of Mycenaean regional groups at the end of the Late Bronze Age, roughly 1300-1130 BCE. Integration of the chemical and petrographic data revealed over 30 ceramic fabric groups, several of which enabled the identification of three dominant potting centers in the Saronic Gulf at this time and regionally specialized technological practices respective to vessel type and function [111].
This paper reflects on post-depositional calcite alteration products identified in two of the most common ceramic fabrics from the Saronic Gulf study, SAR-1 and SAR-11. SAR-1 contains 133 sherds from eight sites (See Supplementary Table S1) and SAR-11 comprises 69 sherds from eight sites (see Supplementary Table S2). Carbonate alterations are frequently observed in both fabrics as PA and CA, accounting for more than 30% of total group members in each fabric. The ceramic fabrics are described in detail using a modified version of Whitbread's method for describing ceramics in thin section [50]. The sherds that make up these fabric groups were analyzed by NAA at the University of Missouri Research Reactor (MURR), Columbia, MO, USA. Samples were prepared by removing the surface of the sherd using a tungsten carbide grinding bit with a Dremel rotary tool and subsequently pulverized using an agate mortar and pestle until powder could be pressed through a 1 mm screen. Powdered samples were weighed and placed into quartz vials and irradiated using the methods detailed by Glascock [85,117]. Statistical methods typical for ceramic sourcing [86] were employed to examine whether any elemental variability was introduced as a product of the calcite alteration process. Particular attention was paid to the samples where post-depositional alteration products are visible in thin section. Finally, we examined if any elemental variability introduced through post-burial processes affected the outcome of the cluster analysis and subsequent archaeological interpretations.

Case Study 1: Jovel Valley Calcite Tempered Wares: Calcite Depletion Effects
Broadly speaking, the pottery from Moxviquil and CV-38 separates into three inclusion categories: ash, calcite, and volcanic-derived mineral and rock fragments. These overarching fabric groups correspond quite well to the pottery typology for the Jovel Valley [92,97], with the fine serving wares typically made from ash-tempered fabrics, and the more utilitarian wares split between volcanic and calcareous fabrics.
As a general pattern, the pottery made and used in the Jovel Valley was fired at relatively low temperatures, with optically active clay matrices. Most of the vessels studied were fired in oxidizing atmospheres, with the exception of the Viejo Black wares, which appear to have been fired in a reducing atmosphere. All wares were tempered by the potters with a variety of different materials, although some fabrics exhibit more extensive processing than others. It is likely that many of these materials were found as sand deposits in nearby rivers and streams but, in many cases, the fragments are angular enough to suggest deliberate crushing before addition. Finally, all types studied here were made with non-calcareous clays. While San Gregorio Coarse vessels are unslipped and are typically undecorated, many other local serving and storage vessels were typically slipped [92,97]; however, because the soils were fairly acidic, many slips were highly eroded. Other ceramic types from elite contexts present decorative techniques such as incising, painting, filleting, molding and carving, modeling and carving, resist decoration, and stucco coatings [118].
In addition to eroding the slips from vessels, petrographic analysis suggests that the acidic soil conditions attack calcareous inclusions within the sherd walls during burial. This process leaves distinctive voids that have been described as ghost particle voids or calcite ghosts [66] (pp. 172-174); [119,120].

Jovel Valley Calcareous Fabrics
The predominant calcareous group, C-1, contains inclusions of calcite, often with well-developed twinning or pressure lamellae and intact cleavage planes ( Figure 5). This fabric is found at both Moxviquil and CV-38. In some cases, the calcite has been weathered out by the acidic soil, and only voids remain. These voids are distinctively mineral-shaped, with many exhibiting straight-line edges that match the cleavage planes of calcite ( Figure 6). These voids also sometimes have a very fine line of bright micrite visible along the interior of the boundary (Figure 7). Among this group, some of the sherds contain no calcite, some have partially intact calcite (particularly in the center of the sherd), and some contain intact calcite grains, likely due to small differences in the post-depositional environment ( Figure 8). The calcite grains (and ghost particle voids) are typically medium sand sized, with some that are coarse sand and some fine sand, and often exhibit characteristic calcite cleavage planes. The calcite grains are typically the largest inclusions in the fabric, and tend to fall into a narrow size range, suggesting that they were deliberately added into the clay as a tempering material. However, as discussed above, some samples are tempered primarily with coarse and medium sand sized grains and others are tempered with medium to fine sand sized grains, leading to a slight visual texture difference.
Some calcite grains included within this fabric show a banded structure consistent with speleothem formation processes (Figure 9), most notably in MOX-34, MOX-31, and M46 [119,121]. This is consistent with the fact that there are karstic cave formations in the hillsides and ridges surrounding the Jovel Valley [97], including one that was used as a funerary cave at the site of Moxviquil [99]. Additionally, the Maya generally considered speleothems to be ritual objects and considered caves to be sacred [122]. Brady et al. [122] (p. 727) cite Dean Arnold with respect to modern Yucatecan communities using speleothems as temper, but argue that it was rare in pre-Hispanic times. Our petrographic results do suggest that speleothem tempering was occasionally (if rarely) practiced at the site of Moxviquil.
This fabric also contains mineral grains from volcanic sources, mainly quartz, feldspar, and amphibole, with rare pyroxene, which is consistent with the intermediate volcanic activity within the Chiapanecan Volcanic Arc [101]. These inclusions are typically smaller than the calcite clasts, usually coarse silt to fine sand sized, and it is likely that they were present in the clay deposits, rather than being added deliberately to the clay as temper. The density of inclusions is generally low, which is a significant difference from type C-2 (not discussed in this paper). The clay matrix is an orange brown, and is optically active, with moderate amounts of reddish and opaque iron oxide fragments. The similarities in calcite tempering material coupled with a nearly identical groundmass are sufficient to suggest that these sherds form a coherent fabric group.           Table 2) are consistent with quicklime (CaO), or calcite (CaCO3). Trace amounts of magnesium up to our observed 2.6 mol% are consistent with a low-magnesian calcite [123]. This is important, as the dissolution rate of calcareous minerals in acidic environments is heavily dependent on the chemistry. Magnesian calcite is more soluble than calcite, which is more soluble than dolomite [123]. The chemical analysis could not completely eliminate the possibility that some grains of aragonite were also present in the sample, but aragonite is more soluble than pure calcite and less than high-magnesium magnesian calcite [123].
Point analyses of the clay matrix around the calcite grains suggests that some of the calcite may be dissolving and redepositing in the clay (Figure 10). The amount of magnesium present in the clay is consistent with the magnesium levels noted in the ICP-MS/OES results to follow, suggesting that the grains of calcite are not the major source of magnesium in the samples ( Table 2). examples of the C-3 fabric were among the set of 60 sherds analyzed chemically; they are not included in this paper because few were available for chemical analysis. The petrographic analysis also identified a single sherd (M50) with an atypical paste (classified as "OTHER"; see Table 1), which was also excluded from the chemical analysis. Observations from petrographic analysis tentatively suggest that these three fabrics were much less prone to calcite dissolution than fabric C-1. In all cases, sherds were sorted into the appropriate calcareous fabric whether or not the calcite or calcareous particles were still present. The size and shape of the voids left by calcite dissolution match precisely with the grains of calcite seen in less weathered samples. In many cases, the straight-line edges of the voids meet at the correct cleavage angles for calcite, further strengthening the argument that these sherds were all manufactured in the same way from the same material (Figures 6-8).  (Table 2) are consistent with quicklime (CaO), or calcite (CaCO 3 ). Trace amounts of magnesium up to our observed 2.6 mol% are consistent with a low-magnesian calcite [123]. This is important, as the dissolution rate of calcareous minerals in acidic environments is heavily dependent on the chemistry. Magnesian calcite is more soluble than calcite, which is more soluble than dolomite [123]. The chemical analysis could not completely eliminate the possibility that some grains of aragonite were also present in the sample, but aragonite is more soluble than pure calcite and less than high-magnesium magnesian calcite [123].

EDS analyses of the intact carbonate grains in available samples show a mean
Point analyses of the clay matrix around the calcite grains suggests that some of the calcite may be dissolving and redepositing in the clay (Figure 10). The amount of magnesium present in the clay is consistent with the magnesium levels noted in the ICP-MS/OES results to follow, suggesting that the grains of calcite are not the major source of magnesium in the samples (Table 2).

ICP-MS/OES Results
Resulting chemical concentrations for 9 sherds analyzed using ICP-MS/OES, representing petrographic fabric C-1, show the most drastic variation mainly within measured alkali and alkaline earth elements: Mg, K, Ca, Rb, Sr, Cs and Ba ( Figure 11). Samples M31, M36, M40, and M41, from CV-38 and samples M49, and M50 from Moxviquil show depleted levels of all measured alkali and alkaline earth elements, with the exception of Ba, as compared to the three remaining samples of fabric C-1 from Moxviquil (M46, M47, and M59). The differential preservation of calcite in the three intact Moxviquil samples may be due to their unusual excavation context, which was inside the funerary cave at the site near the former entrance [99]. The fact that calcite dissolution was seen in a variety of contexts from both sides of the valley is suggestive that acidic soils caused the calcite breakdown. It was expected that the samples with calcite ghost voids would have lower concentrations of Ca, Sr, and Mg as they represent the small subsample of fabric C-1 showing evidence for partial and complete calcite loss. Depletions of K, Rb, and Cs are to be expected as all are considered highly mobile elements in ceramic composition studies [41]. Indeed, it makes sense that these alkaline elements would be affected by the same naturally occurring corrosive processes that resulted in the calcite mineral loss.
In an attempt to see how much the variability was introduced by post-depositional calcite dissolution, we employed principal component analysis and omitted all alkali and alkaline earth elements. Additionally, several elements were omitted in which concentrations were below limits of detection (Li, S, Ni, Sn) or are known to cause contamination problems due to modern agricultural activities in the region of interest (As, Pb). A comparison of the first two principal components illustrates well how much this post-depositional alteration process has obfuscated the likelihood that these samples used similar raw materials during production ( Figure 12).

Summary
The internal chemical variation in fabric C-1 is unexpected and has important implications for the interpretation of compositional data from archaeological ceramics. Analysis of the thin sections show that the group members of fabric C-1 at Moxviquil and CV-38 are clearly composed of the near identical raw materials, the only visual difference under the petrographic microscope is the loss of calcite. Despite the petrographic similarities, the bulk chemical composition of C-1 samples from both sites varies significantly, even with the removal of problematic elements. Though it is apparent that when the calcite was dissolved by groundwater with a naturally low pH, elements associated with calcite, Ca, Mg, Sr, were not the only ones leached out into the local environment. Even the samples in which the calcite minerals were left intact demonstrate some level of disparity in all measured alkaline elements, suggesting that these too are affected by acidic groundwater. Without the integration of petrographic and chemical analyses, these discrepancies may never have been considered during the final archaeological interpretation of these ceramic data.
It could be argued that the Jovel Valley dataset should be compensated for the calcium loss employing the "calcium correction" factor [124]. This correction suggests that by adjusting the entire dataset through the following calculation: e = 10 6 e 10 6 2.5c (1) In which e' equals the corrected elemental value in ppm, e is the measured elemental concentration in ppm and c is the measured concentration of calcium in ppm. The gravimetric factor of 2.5 is used to compensate for the mass of calcium to calcium carbonate within the sample. In essence, this calculation attempts to remove any variability added by calcium carbonate inclusions that can potentially skew the entire dataset one way or another. There are two main reasons that this process will not be a useful correction factor in the Jovel Valley assemblage. The first is an anthropological argument that suggests that by removing the calcium carbonates in this way, the analysts are actually trying to mathematically remove physical temper from the dataset in order to get to what matters, the "raw materials," i.e., clay. Removing calcium carbonates in this way suggests that the carbonates themselves are not intrinsically part of the ceramic system being analyzed, though they are the result of human technological behaviors informed by social norms and material limitations. Ceramics, as we have argued above, are complex composite materials created by humans. They are cultural products and to remove a major part of their material essence is to remove valuable information concerning the choices past peoples made as they performed technological practices.

Summary
The internal chemical variation in fabric C-1 is unexpected and has important implications for the interpretation of compositional data from archaeological ceramics. Analysis of the thin sections show that the group members of fabric C-1 at Moxviquil and CV-38 are clearly composed of the near identical raw materials, the only visual difference under the petrographic microscope is the loss of calcite. Despite the petrographic similarities, the bulk chemical composition of C-1 samples from both sites varies significantly, even with the removal of problematic elements. Though it is apparent that when the calcite was dissolved by groundwater with a naturally low pH, elements associated with calcite, Ca, Mg, Sr, were not the only ones leached out into the local environment. Even the samples in which the calcite minerals were left intact demonstrate some level of disparity in all measured alkaline elements, suggesting that these too are affected by acidic groundwater. Without the integration of petrographic and chemical analyses, these discrepancies may never have been considered during the final archaeological interpretation of these ceramic data.
It could be argued that the Jovel Valley dataset should be compensated for the calcium loss employing the "calcium correction" factor [124]. This correction suggests that by adjusting the entire dataset through the following calculation: `= 10 6 10 6 2.5 (1) In which e` equals the corrected elemental value in ppm, e is the measured elemental concentration in ppm and c is the measured concentration of calcium in ppm. The gravimetric factor of 2.5 is used to compensate for the mass of calcium to calcium carbonate within the sample. In essence, this calculation attempts to remove any variability added by calcium carbonate inclusions that can potentially skew the entire dataset one way or another. There are two main reasons that this process will not be a useful correction factor in the Jovel Valley assemblage. The first is an anthropological argument that suggests that The second reason is that calcium is not the only element affected by the dissolution process. All alkaline elements were affected and to remove only one would not produce accurate or meaningful data. Logratio transformation using the element identified by TVM to have to lowest variability, in this case Ta, did not affect the final outcome, suggesting that the alteration is too great to overcome statistically.

Case 2: Mycenaean Fineware Pottery: Calcite Redistribution
The two fine tableware fabrics found in the greatest abundances are produced by potting groups at Kontopigado, SAR-1, and in northeast Corinthia, SAR-11, perhaps near Ancient Corinth. Both SAR-1 and SAR-11 are manufactured using calcareous clays, however, potters at Kontopigado used a mixture of calcareous marls and terra rossa clays, while Corinthian potters appeared to have selected calcareous clays as the main raw materials. Previous assessments of their microstructures by SEM-EDS confirm that SAR-1 contains a low-moderate calcareous matrix of 4-6% CaO and sintering levels suggestive of firing in oxidizing conditions at temperatures of over 850 • C [111]. SAR-11 has a much higher concentration of CaO of over 11% and significant enough sintering within the microstructure to estimate firing in oxidizing conditions at temperatures between 850 • C and 1000 • C [116] (p. 175). These results are compatible with petrographic observations of fabric matrices as both SAR-1 and SAR-11 are optically inactive. Firing temperature is particularly relevant, as high fired ceramics will form high temperature minerals that can capture calcium (making it unavailable for dissolution) and also make the fabric less porous and, therefore, hinder post-depositional leaching processes. Although SAR-1 and SAR-11 are not the only fine tableware ceramic fabrics present in the Saronic Gulf during the end of the Late Bronze Age, they are both produced with calcareous raw materials and fired to moderately high temperatures. They are similarly shaped and decorated and are often found together in the same excavation contexts [111,116]. Lastly, the presence of PA secondary calcite is profound in many petrographic specimens from this region, a feature that is common in Aegean archaeological ceramics.
3.2.1. SAR 1 SAR 1 is the main fabric used for pottery manufacture at the site of Kontopigado, approximately 5 km south of the Athenian acropolis ( Figure 13) [111] (pp. 502-505). It is constructed using a fine clay mix whose groundmass consists of fine sand sized mica laths, quartz and feldspar with inclusions of low grade metamorphic and sedimentary rock both in the groundmass and coarse fraction. The lithic inclusions are likely natural constituents of the clay-rich sediments selected as raw materials and are highly compatible with rock types common in northern and central Attica, especially the formation of Attic Schist [125]. The last major component is a greyish-yellow calcareous sediment, visible in the form of textural concentration features [51] (p. 386) most likely from the yellowish marl deposits near the coastal town of Ayios Kosmas.   Within the microstructure, microgeodetic sparite is frequently observed on the boundaries of pore walls and internal cracks. Void structures are commonly filled in partially or completely with microgeodetic sparite, cryptocrystalline calcite (micrite) or a combination of the two (Figure 14). Striations or patches of aggregated micrite are, however, the most frequent type of alteration observed. The structure of these micro-and cryptocrystalline calcite deposits is taken as evidence of a combination of at least PA post-depositional alteration of carbonate matter in this fabric.

SAR 11
Ceramic fabric SAR-11 is very fine, with very few inclusions over 0.5 mm, and was used to produce high-quality drinking and wine mixing vessels ( Figure 15). The fine grain size of the inclusions inhibits the identification of a production region; however, there are rare but notable serpentinite, calcareous microfossils, siliceous radiolarian microfossils and calc-silicate sandstone particles present in the coarse sand grain fraction. These inclusions are highly compatible with the Shale-Sandstone-Radiolarite formations of Corinthia [125]. Sedimentary formations are present throughout both Corinthia and the Argolid, but the Shale-Sandstone-Radiolarite formations of Corinthia are known to be exploited by Corinthian potters from prehistory through the historical periods, suggesting a plausible production origin at Corinth [126]. Based on the compatibility of this fabric's mineralogical composition with the geological formations local to northeast Corinthia, in addition to the uncanny resemblance to Early Bronze II pottery fabrics produced at or near ancient Corinth [127], SAR 11 is understood to be a product of a potting center within this region, probably near Ancient Corinth.
Many of these sherds were recovered from surface deposits with clear macroscopic evidence for carbonate accretions. The microstructure of this fabric commonly contains pores partially or completely infilled with microgeodetic sparite, micrite or a combination of the two. The micromass shows frequent striations and/or patches of aggregated micrite ( Figure 16). near ancient Corinth [127], SAR 11 is understood to be a product of a potting center within this region, probably near Ancient Corinth.
Many of these sherds were recovered from surface deposits with clear macroscopic evidence for carbonate accretions. The microstructure of this fabric commonly contains pores partially or completely infilled with microgeodetic sparite, micrite or a combination of the two. The micromass shows frequent striations and/or patches of aggregated micrite ( Figure 16).

Effect of Post-Depositional Calcite Alterations on Bulk Chemical Analysis
The presence of post-depositional calcite observed in several specimens from each petrographic fabric group is considerable. However, not every member of affected petrographic fabrics demonstrates evidence of calcite alteration as the groups are composed of ceramic fragments recovered from at least eight different burial environments, each ena-

Effect of Post-Depositional Calcite Alterations on Bulk Chemical Analysis
The presence of post-depositional calcite observed in several specimens from each petrographic fabric group is considerable. However, not every member of affected petrographic fabrics demonstrates evidence of calcite alteration as the groups are composed of ceramic fragments recovered from at least eight different burial environments, each enabling varying degrees of calcite alteration to occur. The fabric groups selected to test if post-depositional calcite alteration affects elemental concentrations enough to cause errors in traditional methods of cluster analysis are the two of the most dominant fabrics identified in the study region with 133 (SAR1/Group 1) and 69 (SAR 11/Group 3) samples.
Chemical Group 1 reflects the main ceramic fabrics produced at the Attic production center of Kontopigado in western Attica, specifically SAR 1 ( Table 3). Although the standard deviations for over half of the 22 elements analyzed are 12% or less, several elements, including Rb, Ba, Ca, Cs, and Zn, have higher standard deviations (from 17 to 35%; Table 3). The fluctuation is indicative of post-depositional alterations that occur in coastal marine environments where alkalis are selectively leached, as has been shown in ceramic studies of the kiln material at Kommos, Crete [89,127]. As and Sb are known transient elements and their values must be carefully evaluated, although these two elements appear consistent within this group. Enriched concentrations of Co (>30 ppm) and Cr (>600 ppm), especially when combined with high Ni concentrations, are usually indicative of ophiolite-derived grains and ophiolitic soils, but this phenomenon also occurs in a variety of metamorphic environments [128]. Co, Cr and Zn concentrations can vary more broadly in soils than rocks [128] (p. 117), perhaps explaining higher variation in Cr and Zn. The mean calcium concentration value for Group 1 is 5.11+/−1.4%. The statistical variance of calcium for this particular group is rather high at 28%, but this does not appear to affect group membership. For example, the sample ELF 12/17 ( Figure 17) has a Ca concentration value of 6.4%, yet it has a group membership probability value (p) 79.53. Group membership probabilities are calculated as described by Glascock [117] and Neff [128] and a p value of 79.53 indicates a 79.53% probability of membership within chemical Group 1. Combined with the petrographic data, it is clear that this sample has been altered from its original composition likely with some enrichment of Ca. That this sample was recovered from the site of Eleusis, which sits on alluvial deposits derivative of transgressive limestones and marls [125], suggests that it perhaps accrued some CA calcite through aqueous solutions transporting dissolved calcite as it moved through the calcareous sediments and limestone environment. These calcite accretions do not appear to have much of an effect on the resulting compositional grouping. A large sample size of 133 group members may be large enough that some variance in migratory alkaline elements are not great enough to override the consistencies in REE and trace elemental concentrations. Combined with the petrographic data, it is clear that this sample has been altered from its original composition likely with some enrichment of Ca. That this sample was recovered from the site of Eleusis, which sits on alluvial deposits derivative of transgressive limestones and marls [125], suggests that it perhaps accrued some CA calcite through aqueous solutions transporting dissolved calcite as it moved through the calcareous sediments and limestone environment. These calcite accretions do not appear to have much of an effect on the resulting compositional grouping. A large sample size of 133 group members may be large enough that some variance in migratory alkaline elements are not great enough to override the consistencies in REE and trace elemental concentrations.   Chemical Group 3 (Table 3) is a quite tightly clustered group with the majority of the group members showing over 30% probability of group membership and the majority of elemental standard deviations are below 15%. The group is characterized by enriched mean values of Ca (11.06+/−2.9%), Cs (7.7+/−1.5 ppm) and Rb (117.3+/−20.9 ppm), and depleted in Cr (218.19+/−27.4 ppm) and Co (26.3+/−3.1 ppm). Variation is found in concentrations of Ba (408.9+/−151.8) and Zr (90.6+/−18.1 ppm). The majority of the samples in this group come from the western Saronic coast, namely Corinthia and the Methana peninsula. When compared to petrographic results, it is clear that Group 3 represents the fabric group SAR 11. Comparison with regional chemical reference groups did not produce any potential matches to help identify production origins. Petrographic analysis, on the other hand, suggests a Corinthian origin near Ancient Corinth [126].
Many of the sherds comprising Group 3 show severe calcite alteration as demonstrated by Figure 15. Such a high degree of alteration present in the groundmass supports the hypothesis that this sample, or others like it, would not chemically match its petrographic counterparts. The sample in question, ELF 12/14, was recovered from a coastal burial deposit in the southeastern coast of the Isthmus of Corinth. This area, as above, is composed mainly of limestone and calcareous sediments, a prime area for calcium leaching to occur. However, this sample shows a Ca concentration value of 10.05%, nearly identical to the mean group Ca concentration values (11.03+/−2.9%) and similarly consistent elemental concentrations across the board. It is unlikely that the Ca accretions on the exterior or the alteration products in the groundmass affected the elemental composition of this sample at all (Figure 18). composed mainly of limestone and calcareous sediments, a prime area for calcium leaching to occur. However, this sample shows a Ca concentration value of 10.05%, nearly identical to the mean group Ca concentration values (11.03+/−2.9%) and similarly consistent elemental concentrations across the board. It is unlikely that the Ca accretions on the exterior or the alteration products in the groundmass affected the elemental composition of this sample at all (Figure 18).

Summary
The case of the Saronic Gulf assemblage provides clear evidence that calcite alteration occurs during the post-depositional phase of archaeological ceramics, especially within marine and calcareous burial environments. The alterations are most visible in thin section under a petrographic microscope. In fact, the alteration products can be so persistent that it can be quite difficult to observe and describe the microstructure or groundmass of a ceramic system in its unaltered form. A large sample size helps mitigate this issue, as does sampling from a variety of culturally interconnected contexts. As clear as the redeposition of calcite is within the Saronic Gulf assemblage, it does not appear to have much of a

Summary
The case of the Saronic Gulf assemblage provides clear evidence that calcite alteration occurs during the post-depositional phase of archaeological ceramics, especially within marine and calcareous burial environments. The alterations are most visible in thin section under a petrographic microscope. In fact, the alteration products can be so persistent that it can be quite difficult to observe and describe the microstructure or groundmass of a ceramic system in its unaltered form. A large sample size helps mitigate this issue, as does sampling from a variety of culturally interconnected contexts. As clear as the redeposition of calcite is within the Saronic Gulf assemblage, it does not appear to have much of a problematic effect on the overall elemental composition. By extension, this means that researchers experiencing this issue can trust their compositional measurements and provenance-based interpretations.
However, it may be that calcite dissolution occurred during the post-depositional period prior to recovery, but it was not leached out of the ceramic system. Rather, it appears that the calcite recrystallized as micrite and/or sparite within the ceramic groundmass. If this is indeed the case, it would appear that calcite alteration in the form of micro-and crypto-crystalline redeposition within a ceramic structure occurred within a closed system. By this, we mean that the calcite alterations observed in this case study were the product of acidic groundwater penetration of the ceramic material system causing dissolution of alkaline matter such as calcite, but it did not cause the calcite to leach out of the system and into the environment.
The only case to our knowledge which has a convincing and serious allochthonous contribution to post-burial alterations of chemical compositions is the over-fired waster fragments from the Late Minaon IA pottery kiln at Kommos, Crete [90]. This case revealed that alkaline element concentrations were altered differentially according to the firing temperature of the pottery. Pottery fired at higher temperatures was impacted by the formation minerals, such as Na-zeolites (e.g., analcime). The presence of Na-zeolites is linked to crystallization of free minerals left by the alteration of the glassy phase in overfired pottery calcareous pottery [20,47,129]. Buxeda and his colleagues [90] indicate that K, and to a lesser extent Rb, are also leached during alteration of the glassy phase and affixing of the Na component, however they do not see the same affects in Cs concentrations, attributing its different behavior to its larger atomic size [90] (p. 364).
In the case of the sample ELF 12/17 and the rest of the respective ELF (Eleusis) assemblage, it appears that some calcite may have been transported into the ceramic system from the burial environment by groundwater, but it was not enough to alter its bulk composition to the degree that it would change the outcome of the cluster analysis used to form reference groups. The second sample, ELF 12/14 has ample evidence for carbonate alteration in the groundmass; however, it does not appear to affect the chemical composition enough to nullify its group membership in fabric SAR 11. The alterations identified in both examples examined in this study likely reflect a redistribution of preexisting carbonate matter from within their respective ceramic systems.

Conclusions
Archaeological ceramic artifacts, once discarded, are subject to the same environmental weathering processes as the associated geological materials including sediments and bedrock formations. In fact, the burial stage of an artifact's "life history" is the longest and sometimes the most arduous phase of its entire existence. Ceramic materials decay and may undergo chemical and physical alterations that change the nature of the microstructure, and in some cases, their bulk elemental profile. The Jovel Valley study illustrates the extreme case for complete mineral dissolution of calcite grains used as a tempering material in their ceramic products. More significantly, it shows that when calcite grains dissolve, there is reason to believe that other alkaline elements commonly used in ceramic composition studies can be affected as well. In this case, the effects were so great that even with the removal of the noticeably affected elements from the cluster analyses, members of the fabric groups C-1 with and without remaining calcite grains were not identified as chemically compatible.
In the Jovel Valley pottery, the pronounced loss of alkaline elements, with the exception of Ba, is probably more pronounced due to the loss of large grains of the calcite minerals being removed from within a noncalcareous clay matrix. The depletions of K and Rb are not linked to firing temperature and the related formation of zeolites, as the high degree of optical activity in the micromass testifies to their low firing temperature. Variability in Cs is constant across all presented C-1 samples, but the concentrations are consistent within the samples showing calcite dissolution. Mg and Sr, elements closely related to calcite mineral composition, appear to correlate with the loss of Ca as well. These samples were not made from different raw materials or constructed using different technological practices, rather, their chemical variation is empirically linked to the decomposition of calcite due to local environmental factors.
At the other end of the spectrum, the Saronic Gulf assemblage corroborates other studies' findings [42] that carbonate matter can be altered and redistributed through a single ceramic material system post-burial. Here, it seems that the internally extant carbonate matter of a well-sintered ceramic sherd does react with naturally low pH groundwater seeping through its porous microstructure. This is evident from the recrystallization of micro-and cryptocrystalline calcite in the groundmass. However, unlike in the case of the Jovel Valley sherds, calcite is merely redeposited within the sample, thereby causing no noticeable effects on the chemical composition. Rather, it only appears to alter the microstructural textures visible through ceramic petrography.
The calcareous components from the Saronic Gulf assemblage are derived from the fine, clay-bearing sediments and were part of a well-sintered, moderately high-fired ceramic system. The Jovel Valley fabric C-1 is formed from noncalcareous clays with large crystalline calcite added as a tempering agent in a poorly sintered, low-fired ceramic system. This leads us to understand that carbonate grainsize and firing temperatures achieved during production are crucial factors to consider, beyond the specific conditions of the burial environments, during compositional examinations of ancient ceramic materials.
The situational nature of post-depositional calcite alteration and the effect it has on bulk compositional studies is evident. Therefore, we should anticipate the potential for alteration of these ceramics in the burial environment. Thin section petrography clearly has a key role to play in identifying leaching and secondary calcite formation, along with other processes of alteration and contamination, which may affect our interpretation of bulk chemical composition in studies of provenance and technology. This study suggests that the effects are complex, and rather varied. As our compositional data in studies of archaeological ceramics are derived from the destruction of materials that are by nature a finite resource, our increased understanding of these taphonomic alterations enable us to make the most of the material under our stewardship.