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10Be/9Be and 26Al/10Be Support a Late Miocene Burial Age for Basal Gray Fossil Site Sediments

William E. Odom1,*, Darryl E. Granger2, and Steven C. Wallace3

1U.S. Geological Survey, Florence Bascom Geoscience Center, 12201 Sunrise Valley Drive, Mail Stop 926A, Reston, VA 20192. 2Department of Earth, Atmospheric, and Planetary Sciences, Purdue University, West Lafayette, IN 47907. 3Department of Geosciences and Don Sundquist Center of Excellence in Paleontology, East Tennessee State University, Johnson City, TN 37614. *Corresponding author.

Pan-American Paleontology, No. 1 (2025)

Abstract
We provide 2 independent radioisotopic age estimates for cored basal sediments of the Gray Fossil Site using cosmogenic nuclides. The first estimate uses meteoric 10Be/9Be from the bottom of the GFS-1 core, as well as from modern local grasses, to constrain the deposition of basal GFS sinkhole complex sediments to 6.60 ± 0.85 Ma. We corroborated this age estimate using in-situ 10Be and 26Al in quartz sands from the GFS-1 core. This estimate provided a looser constraint than the 10Bemet/9Be approach, yielding a minimum burial age for the basal sediments of 4.43 ± 0.34 Ma. These independent geochronometers provide evidence that the deepest GFS sediments are at least early Pliocene in age, and likely date to the late Miocene.

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10Be/9Be and 26Al/10Be Support a Late Miocene Burial Age for Basal Gray Fossil Site Sediments William E. Odom1*, Darryl E. Granger2, and Steven C. Wallace3 Abstract - We provide 2 independent radioisotopic age estimates for cored basal sediments of the Gray Fossil Site using cosmogenic nuclides. The first estimate uses meteoric 10Be/9Be from the bottom of the GFS-1 core, as well as from modern local grasses, to constrain the deposition of basal GFS sinkhole complex sediments to 6.60 ± 0.85 Ma. We corroborated this age estimate using in-situ 10Be and 26Al in quartz sands from the GFS-1 core. This estimate provided a looser constraint than the 10Bemet/9Be approach, yielding a minimum burial age for the basal sediments of 4.43 ± 0.34 Ma. These independent geochronometers provide evidence that the deepest GFS sediments are at least early Pliocene in age, and likely date to the late Miocene. Introduction The Gray Fossil Site (GFS) is a sinkhole complex located in Washington County, Tennessee (36.3859°N, 82.4987°W), that was discovered in 2000 during a Tennessee Department of Transportation (TDOT) construction project. It was subsequently preserved because it hosts a notably diverse late Cenozoic fossil assemblage in eastern North America, including fungi (Worobiec et al. 2018), plants (Gong et al. 2010; Hermsen 2021, 2023; Huang et al. 2014, 2015; Jiang and Liu 2008; Liu and Jacques 2010; Liu and Quan 2019; Ochoa et al. 2012; Quirk and Hermsen 2020; Siegert and Hermsen 2020; Worobiec et al. 2013; Zobaa et al. 2011), amphibians (Boardman and Schubert 2011; Gunnin et al. 2025), reptiles (Bourque and Schubert 2015; Jasinski 2018, 2022; Jasinski and Moscato 2017; Jurestovsky 2021; Mead et al. 2012; Parmalee et al. 2002), birds (Steadman 2011), and mammals (Czaplewski 2017; DeSantis and Wallace 2008; Doughty et al. 2018; Hulbert et al. 2009; Oberg and Samuels 2022; Samuels et al. 2018; Samuels and Schap 2021; Short et al. 2019; Wallace 2004, 2011; Wallace and Lyon 2022; Wallace and Wang 2004). Though the GFS hosts numerous late Neogene flora and fauna whose presence provides important evidence for interpreting climate and species patterns during this time (e.g., DeSantis and Wallace 2008; Fulwood and Wallace 2015; Liu and Quan 2019; Maclaren et al. 2018; Mc- Connell and Zavada 2013; Ochoa et al. 2012; Schap et al. 2021; Schap and Samuels 2020; Wallace 2004, 2011; Wallace and Lyon 2022; Wallace and Wang 2004), the precise age of the site has only been proposed using biostratigraphy, with somewhat conflicting age estimates derived from mammals (e.g., Samuels et al. 2018, Samuels and Schap 2021, Wallace and Wang 2004) and fossil pollen (e.g., Zobaa et al. 2011). Using in-situ and meteoric cosmogenic nuclide geochronology, we provide 2 independent radiometric ages for the filling of the GFS sinkhole complex. 1U.S. Geological Survey, Florence Bascom Geoscience Center, 12201 Sunrise Valley Drive, Mail Stop 926A, Reston, VA 20192. 2Department of Earth, Atmospheric, and Planetary Sciences, Purdue University, West Lafayette, IN 47907. 3Department of Geosciences and Don Sundquist Center of Excellence in Paleontology, East Tennessee State University, Johnson City, TN 37614. *Corresponding author - wodom@usgs.gov. Associate Editor: Blaine Schubert, East Tennessee State University. Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 2 Background Sinkhole complex formation and filling The GFS sinkhole complex lies within Cambrian–Ordovician dolomite of the karst landscape that dominates the Tennessee Valley and Ridge Province (Fig. 1; Rodgers 1953). Gravimetric surveying by Whitelaw et al. (2008) revealed that the site consists of multiple sinkholes with depths up to ~35 m. The semi-linear trend of these sinkholes likely reflects joint-related dissolution. Though the formation age of the sinkhole complex itself is difficult to constrain, its filling with sediments and fossils during the late Cenozoic has been intensively studied. Shunk et al. (2006, 2009) examined the stratigraphy of cores (GFS-1 and GFS-2) through the sinkhole complex and interpreted the site as a filled sinkhole lake on the basis of excellent depositional fabric preservation, a lack of bioturbation, and presence of framboidal pyrite. The frequency of articulated skeletons over much of the site also suggests a predominantly low energy lacustrine environment (Hulbert et al. 2009, Wallace 2004, Wallace and Wang 2004). Shunk et al. (2006, 2009) also noted centimeter-scale graded beds overlain by rhythmites in the lower sinkhole complex, which the authors interpreted as a transition to a wetter period. Keenan and Engel (2017) further supported the low energy interpretation, noting that the sediments were likely acidic, anoxic, and reducing when deposited. Sediments filling the sinkhole complex appear to be from multiple sources (Shunk et al. 2006, 2009). Grain size distributions of quartz within GFS-1 and estimates from flow velocity diagrams suggest that the core was located near the paleo-lake’s inlet, and that low-energy fluvial transport was responsible for delivering sediments to the site (Shunk et al. 2009). This conclusion is supported by a general westward coarsening of sediments, indicating that most sediment flux was from the sinkhole complex’s western side. Shunk et al. Figure 1. Location of the Gray Fossil Site in the context of major physiographic provinces of the southern Appalachian Mountains. A Blue Ridge provenance has been inferred for the sediments filling the Gray Fossil Site sinkhole complex (Shunk et al. 2006). Province polygons adapted from U.S. Environmental Protection Agency (2013). Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 3 (2006) also noted that some quartz grains had features consistent with Blue Ridge Province provenance (namely beta outlines, embayments, and resorption rims) that point to local and regional sources for the sediments filling the GFS basin. Biostratigraphy While the lacustrine depositional setting and Blue Ridge Province sediment provenance of the GFS fill have been generally accepted, the timing of its filling has been revised with emerging biostratigraphy (e.g., Samuels and Schap 2021, Samuels et al. 2018). Based on varve-like stratigraphy in GFS-1 and GFS-2, Shunk et al. (2009) estimated that the sinkhole complex filled geologically quickly over a period of 4.5–11 kyr. During infilling, a diverse biota died and was preserved in the upper layers of the sinkhole complex (Shunk et al. 2006). Ongoing discoveries of vertebrates with independently constrained emergence/ extinction timelines have permitted increasingly precise age estimates for the site. Wallace and Wang (2004) produced one of the first age estimates, suggesting a broad age of 7–4.5 Ma based on the presence of Teleoceras (Rhinoceros) and Plionarctos (Short-faced Bear). Subsequent changes in the accepted boundary of the Hemphillian Land Mammal age (Behrensmeyer and Turner 2013, Tedford et al. 2004), potential extensions of the range of Teleoceras (Farlow et al. 2001, Gustafson 2012, Madden and Dahlquest 1990, Martin 2021), and issues surrounding the records of Plionarctos (B. Schubert, Eastern Tennessee State University, Johnson City, TN, 2024, pers. comm.) draw attention to the limitations of only using a few taxa to constrain the age. Palynological analysis by Zobaa et al. (2011) focused on the GFS-1 core. The authors provided significantly older estimates, concluding based on fossil palynomorphs that most of the sinkhole complex was deposited in the Paleocene–Eocene and subsequently covered with Miocene and younger sediments. This Paleocene–Eocene age was estimated from the early Cenozoic pollens Caryapollenites imparalis, Caryapollenites inelegans, and Caryapollenites prodromus. Zobaa et al. (2011) also inferred that the lack of Neogene grass pollen Poaceae could be consistent with a Paleocene–Eocene age, though it should be noted that some late Cenozoic pollen (Cupuliferoipollenites pusillus, Tricolporopollenites kruschii, Ulmipollenites undulosus, Caryapollenites simplex, Tubulifloridites antipodica, Pinuspollenites strobipites, Malvacearumpollis mannanensis, Fraxinus Columbiana, Chenopodipollis granulata, and Pseudoschizaea ozeanica) were also present. A closer look at the taxa present in their sample suggests that the interpretation of a truly Eocene age is not necessary to account for their observations. Most recently, a Pliocene age of the sinkhole complex was proposed by Samuels et al. (2018) on the basis of rhinoceros, leporid, and cricetid remnants. Leporid and cricetid fossils provide a maximum estimated age and date to the onset of the Blancan North American Land Mammal Age (4.9 Ma). Samuels et al. (2018) infer a minimum age of 4.5 Ma from the presence of the rhinoceros Teleoceras, but they note that Gustafson (2012) documented Teleoceras as young as 3.5 Ma in North America. One potential issue is that biostratigraphic reference sites do not all have radiometric and/or paleomagnetic age constraints (Carrasco et al. 2005; references therein). In many cases, the reference fauna have been dated via stratigraphic or biostratigraphic correlation, rather than absolute techniques. More importantly, considering that most of these sites are located in western North America, the distances from reference fossil sites to the GFS leave open the possibility that the fauna at Gray did not live contemporaneously with their western counterparts. As such, considerable uncertainty still surrounds the age of the deposit and motivates direct radiometric dating of the site itself. Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 4 Materials and Methods Cosmogenic nuclide production and systematics Cosmogenic nuclides are rare isotopes that are produced when high-energy cosmic radiation interacts with the atmosphere, initiating a chain of spallation reactions that break apart nuclei to produce new isotopes. These reactions cascade through the atmosphere to below the ground surface and are responsible for producing multiple types of cosmogenic nuclides, which include meteoric (a.k.a., “garden variety”), as well as in-situ isotopes (Lal 1988, Nishiizumi et al. 1986). The former, including 14C and 10Be, are produced in the atmosphere and are present in organic materials and rainwater (Arnold and Libby 1949, Lal 1988), whereas the latter, such as 26Al and 10Be, are produced in rock at a rate on the order of 101–103 atoms per gram per year (Nishiizumi et al. 1989), and are therefore generally present in extremely low concentrations. Given that 26Al and 10Be are radioactive, and their production is sensitive to depth below the ground surface, they can serve as valuable indicators of weathering processes, water movement, rock exposure, and sediment burial (Granger et al. 1997, Lal and Arnold 1985, Morris 1991). Meteoric cosmogenic nuclides Meteoric 10Be (10Bemet) is generally produced by spallation of atmospheric N and O (Lal and Peters 1967) and, upon reaching the Earth’s surface, mixes with 9Be liberated via rock weathering processes (von Blanckenburg et al. 2012). At the surface, Be adsorbs onto soils as a function of acidity (Brown et al. 1992), so the 10Bemet/9Be ratio records information about environmental and weathering regimes (Graly et al. 2011, 2018; Singleton 2021; Singleton et al. 2017). Because much of the 10Bemet is retained in the upper part of the soil, but 9Be is released over a deeper weathering range, the 10Bemet/9Be ratio varies with depth (Maher and von Blanckenburg 2016). Flora also incorporate beryllium as they uptake nutrients from soil (Moore et al. 2021) and have a 10Bemet/9Be ratio that is similar to the average 10Bemet/9Be ratio in soil over their rooting depth. Because 10Bemet is radioactive, with a meanlife of 2.005 ± 0.020 My (Chmeleff et al. 2010, Korschinek et al. 2010), it can be used for dating over a range of up to ~8 My, given that the initial 10Bemet value can be reasonably constrained, following equation (1): Where t is age and τ10 is the meanlife of 10Be. This approach was originally used for dating marine deposits such as ferromanganese nodules (e.g., Graham et al. 2004, Somayajulu 1967), assuming that the 10Bemet/9Be ratio in seawater was constant over time. Later, these same data were used together with independent geochronometers to test the hypothesis that the 10Bemet/9Be ratio in seawater was constant, and have been used to infer that global weathering rates have remained approximately unchanged over the past 10 My (Willenbring and von Blanckenburg 2010). The 10Bemet/9Be ratio has also been used to date authigenic minerals in lake deposits, assuming that the lake water 10Bemet/9Be ratio was constant over time, notably to date Miocene– Pliocene hominid-bearing deposits in Chad (Lebatard et al. 2010). Here, we are using 10Bemet/9Be to date soil sediments and vegetation that were deposited in Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 5 the GFS sinkhole complex and extracted from the lower GFS-1 core. Unlike marine or lacustrine settings, the beryllium comes from a soil reservoir that includes significant variability in the initial isotopic ratio, introducing uncertainty (Graham et al. 2001, Moore et al. 2021). Additional uncertainty arises because the fallout rate of 10Be varies through time due to changes in the geomagnetic field strength, as well as local or regional changes in precipitation (von Blanckenburg et al. 2012), the latter of which has been modeled for GFS (Schap et al. 2021). In-situ cosmogenic nuclides In-situ 26Al and 10Be are produced when incoming neutrons and muons respectively fragment the Si and O in quartz (Gosse and Phillips 2001). Cosmogenic nuclide production is highest near the surface and falls off rapidly with depth, as cosmic radiation is attenuated by sediments and/ or bedrock (Lal 1988). Production of cosmogenic nuclides by neutrons is limited to the top few meters near the ground surface, while slower production by muons continues to depths of tens of meters (Balco 2017). To a close approximation, the production rate Pi for a given nuclide i can be expressed as the sum of exponentials, as in equation (2): Where Ai,j and Lj represent the production rate factors and penetration length factors for neutron and muon components of production, respectively, and z represents depth (Granger 2014). For an eroding landscape, equation (2) can be integrated to calculate the concentration of cosmogenic nuclides that accumulate in a rock as it is exhumed to the surface (Lal 1991). For a steady rate of mass loss, the concentration Ni is inversely proportional to the denudation rate at the ground surface, with adjustments for radioactive decay during exhumation (Lal 1991), as in equation (3): Where ρ is the density of quartz, E is the preburial erosion rate, and Λ is the penetration length factor. If sediment from the ground surface is then buried underground, such as at GFS, any 26Al and 10Be that accumulated prior to deposition will begin to decay. Because 26Al (τ26 = 1.021 ± 0.024 My) (Nishiizumi 2004) decays approximately twice as fast as 10Be, the 26Al/10Be ratio of the cosmogenic nuclides inherited from the surface decreases over time and can be used to determine the time of deposition. However, there can be continued cosmogenic nuclide accumulation if the sediment is not buried deeply enough to be shielded from secondary cosmic ray muons. In that case, the total cosmogenic nuclide concentration Ni is governed by both radioactive decay of the inherited component and buildup of the post-depositional component, as in equation (4): Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 6 Where t is the burial age and Pi,z is the production rate at depth. The age of the deposit can be calculated by solving equation (4) for both 26Al and 10Be in a depth profile (Granger and Smith 2000) or in an isochron (Balco and Rovey 2008). In cases where the production rate at depth cannot be reliably modeled, it can be assumed to be zero to calculate a minimum burial age at each sampled location. Given the difficulty in modeling postburial production rates at this site, we calculated all in-situ burial ages as minima by setting P26,z = P10,z = 0 at/g/yr. Both the in-situ and meteoric cosmogenic nuclide methods offer distinct advantages and disadvantages. Meteoric 10Be/9Be is typically present in relatively high concentrations in soils and plants and is, therefore, easy to measure. Moreover, the 2.005 My meanlife of 10Be may permit geochronology well into the late Miocene. However, constraining the initial ratio of 10Bemet/9Be in a deposit can be difficult (Lebatard et al. 2010), and geochronologists may be limited to using 10Bemet/9Be in modern soils or plants, which are not a perfect analog. For insitu cosmogenic 26Al and 10Be, estimating the initial component – in this case, the inherited ratio of 26Al/10Be in a buried deposit – is more straightforward (Granger et al. 1997). However, the shorter half-life of 26Al means that 26Al/10Be burial dating is limited to the past 5–6 million years. Moreover, precise 26Al/10Be burial dating requires constraints on postburial production rates; while these rates can be readily modeled in homogeneous materials (Balco 2017), the irregular geometry of the sinkhole complex and variations in fill vs. bedrock density limit our ability to place upper constraints on sediment burial ages. We leverage the advantages of both approaches by measuring 10Bemet/9Be from the base of the GFS-1 core and in-situ 26Al/10Be in quartz at 8 intervals within the GFS-1 core to respectively obtain an absolute burial age for the basal sediments and 8 minimum burial ages throughout the core. Sampling Sediment samples for 10Bemet/9Be and in-situ 26Al/10Be geochronology were collected from the GFS-1 core at depths spanning 0.8 to 36.3 m. Core access was provided by the Gray Fossil Site and Museum, East Tennessee State University. Meteoric sampling focused on the base of the core to capture the age of the oldest sediments, while the 26Al/10Be depth profile covered the length of the core. Because the greatest change in the in-situ production rate occurs in the upper few meters of sediment column, as production transitions from neutron- to muon-dominated spallation, we sampled shallow zones at closer intervals for 26Al/10Be analysis. To constrain local initial 10Bemet/9Be ratios, we sampled modern grasses in undisturbed soils near Gray, Tennessee. All subsequent mineral separation, sample preparation, and analyses were performed at Purdue University. 10Bemet/9Be sample preparation A sample of material from the base of the GFS-1 core at a depth of 36.2–36.3 m was analyzed for 10Bemet/9Be. The sample was extremely rich in organic material and plant fragments, which likely hosted much of the beryllium. 2.158 grams of oven-dried material were added to 25 ml Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 7 of 0.5 M HCl. It was disaggregated by ultrasonication and held at 80°C for 24 hours to dissolve adsorbed beryllium, then the solution was filtered of solids. A sample of grass clippings collected from the Gray, TN cemetery was used as an analog for the initial plant material in the GFS core. This site was chosen because it appeared undisturbed, so the 10Bemet/9Be ratio in vegetation should best represent the value prior to modern land use. Oven-dried grass (19 grams) was digested in piranha solution (sulfuric acid with hydrogen peroxide). After digestion, hydrofluoric acid was added to dissolve silica phytoliths. The resulting solution was taken to dryness, then redissolved in 5% nitric acid and filtered of insoluble residue. For both the basal core and modern grass samples, half of the solution was taken for analysis of the total beryllium concentration by inductively coupled plasma – optical emission spectrometry (ICP-OES), and the other half was taken for analysis of 10Bemet/9Be by accelerator mass spectrometry (AMS). The AMS fraction was spiked with ~270 micrograms of beryllium carrier prepared in-house from phenacite. The solution was adjusted to pH 14 with NaOH to remove most contaminants as insoluble hydroxides by centrifugation, while amphoteric beryllium remained in solution. Beryllium was purified by ion exchange chromatography and selective precipitation, then converted to oxide by flame. The resulting oxide was mixed with niobium and loaded into a stainlesssteel cathode for analysis by AMS at the Purdue Rare Isotope Measurement (PRIME) Laboratory. In-situ 26Al/10Be sample preparation Due to the compaction of the core material, high clay content, and small sample sizes, the samples required disaggregation prior to quartz separation. Samples were soaked overnight in concentrated nitric acid, rinsed, and mixed with sodium hexametaphosphate to disaggregate clays. Particularly cohesive materials were placed in an ultrasonic bath to disaggregate blocks of clay and sand. Grains with diameters >0.5 mm were removed via sieve to eliminate most chert and carbonate fragments. Samples that contained abundant chert and carbonate material underwent pyrophosphoric acid treatment following the methods of Mifsud et al. (2013) to preferentially attack non-quartz minerals. All samples were selectively dissolved in heated 1% hydrofluoric/nitric acid for 3 days on hot dog rollers to isolate the quartz fraction, and were assayed with ICPOES. Each sample received ~270 μg of beryllium carrier, and those with <1 mg native aluminum content additionally received an Alfa Aesar ICP aluminum standard as carrier. Samples were subsequently dissolved in hot concentrated hydrofluoric and nitric acids. Following extraction of an ICP-OES aliquot for total (native + carrier) aluminum content, the samples were evaporated with concentrated sulfuric acid. The resultant solution was diluted, mixed with 20 ml of 17% sodium hydroxide to remove Fe/Ti hydroxides at pH 14, and rinsed. Following dissolution in oxalic acid, the Al/Be solution was separated via anion and cation exchange column chromatography. The Al and Be were then respectively dissolved in hydrochloric and nitric acids, evaporated, and converted to oxides via propane torch. The resulting powders were mixed with niobium and loaded into stainless steel cathodes for AMS measurement at the PRIME Laboratory (Caffee et al. 2021). Measurements were conducted alongside the standards of Nishiizumi (2004) and Nishiizumi et al. (2007). Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 8 Results Meteoric 10Be/9Be In modern local grass, the 10Be concentration was (2.133 ± 0.037) ·107 at/g (1σ), and the 9Be concentration was 1.025·1015 at/g, yielding an initial 10Bemet/9Be ratio of (208.18 ± 3.64) ·10-10 (1σ). Measurements of the core sample, in contrast, revealed (9.139 ± 0.088) ·107 at/g of 10Be and 1.27·1017 at/g of 9Be, corresponding to a 10Bemet/9Be ratio of (7.20 ± 0.07) ·10-10 (1σ) (Table 1). Taken together, these measurements provide an age of 6.74 ± 0.04 Ma (1σ) for the core’s basal sediments, when accounting for analytical uncertainty only (Table 2). Many factors contribute additional uncertainty. The fallout rate of 10Be at a site can vary due to changes in the magnetic field and precipitation rate over time; evidence for the latter has been noted by Schap et al. (2021) for North America as a whole. However, data from DeSantis and Wallace (2008) show that the precipitation around Gray at the time of its infilling was very similar to that of the region’s modern precipitation. The 10Bemet/9Be ratio in the soil depends on the weathering rate, which can change over time, as well as on soil depth. As a consequence, 10Bemet/9Be in modern vegetation can vary by 30% at a single site due to different rooting depths (e.g., Moore et al. 2021). Work by Graham et al. (2001) has demonstrated that 10Bemet/9Be in terrestrial materials (paleosols and loesses) from a given location can vary by ~5% over time. Given these possible variations, we assign a 35% uncertainty in the initial ratio. This assignment provides a less precise age of 6.60 ± 0.85 Ma (1σ) for the core’s basal sediments (Fig. 2 and Table 2). As such, the 10Bemet/9Be data support a late Miocene age for initial sedimentation in the GFS-1 sinkhole. Table 1. Chemical data and AMS results of meteoric 10Be/9Be samples. Analyses of 10Be/9Be were normalized to standard 07KNSTD (2.85•10-12) (Nishiizumi 2007). Reported values are blank-corrected. All uncertainties are reported at the 1σ level. Gray Grass was blank-corrected against Cblk 5559-1 [AMS Cathode # 167134, 10Be/9Be = (0.00 ± 0.18) ·10-15], while ETSU 2021-10 was blank-corrected against NRC blank [AMS Cathode # 165329, 10Be/9Be = (6.64 ± 1.19) ·10-15]. Gray Grass ETSU 2021-10 AMS cathode # 167117 163900 Sample mass (g) 19.040 2.158 Dissolved mass (g) 20.758 19.259 ICP-OES aliquot mass (g) 10.448 9.961 AMS aliquot mass (g) 10.310 9.298 Native 9Be (μg) 0.147 2.118 9Be carrier (μg) 293.581 293.382 10Be/9Be (10-15) 10,280 ± 180 4864 ± 46 Blank-corrected 10Be/9Be (10-15) 10,280 ± 180 4857 ± 47 [9Be] (1015 at/g) 1.025 127.000 [10Bemet] (107 at/g) 2.133 ± 0.037 9.139 ± 0.088 10Bemet/9Be (10-10) 208.18 ± 3.64 7.20 ± 0.07 Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 9 In-situ 26Al/10Be Concentrations of 26Al ranged from (0.3630 ± 0.0550) ·105 at/g (1σ) (GF-49A) to (2.6070 ± 0.1760) ·105 at/g (1σ) (GF-2A) (Table 3A), while 10Be concentrations ranged from (0.4270 ± 0.0500) ·105 at/g (1σ) (GF-35A) to (0.7270 ± 0.0510) ·105 at/g (1σ) (GF- 2A) (Table 3B). Blank corrections were generally low, although not negligible, ranging from 0.3–3.5% for 26Al measurements and 2.0–9.9% for 10Be measurements. The deepest sample (GF-49A), had 26Al and 10Be blank corrections of 3.2% and 2.3%, respectively. The Table 2. Calculated meteoric 10Be/9Be ages for analytical and external uncertainties. Analytical uncertainties pertain to initial and final 10Bemet/9Be measurements, while external uncertainties only pertain to estimates of initial 10Bemet/9Be. All ages and uncertainties that incorporate external uncertainties also incorporate analytical uncertainties. These ages correspond to the sediments at 36.2–36.3 m. Mean age ± 1σ uncertainty (Ma) Uncertainty type 6.74 ± 0.04 Analytical 6.74 ± 0.10 5% initial 10Bemet/9Be (Graham et al. 2001) 6.63 ± 0.69 30% local 10Bemet/9Be (Moore et al. 2021) 6.60 ± 0.85 35% total external uncertainty Figure 2. Age diagram for 10Bemet/9Be chronology. In this plot, the line corresponding to a zero burial age is solid. Isochron lines at million-year increments are dashed. Our measurements of initial and final 10Bemet/9Be are plotted with different potential uncertainties for initial 10Bemet/9Be. A solid black ellipse shows analytical uncertainty only; gray ellipses show additional 5% uncertainty in continental 10Bemet/9Be following Graham et al. (2001) and 30% local variation in 10Bemet/9Be following Moore et al. (2021); a red outline shows the cumulative analytical and external uncertainties. Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 10 Table 3A. In-situ aluminum data for the GFS-1 core. All uncertainties are reported at the 1σ level. Analyses of 26Al/27Al were normalized to standard KNSTD (1.818•10-12) following Nishiizumi et al. (2004). NOTE: Depths are taken from top of core and do not reflect anthropogenic removal of material. Sample name Quartz mass (g) GFS-1 depth (m) AMS cathode Blank # Total Al (μg) 26Al/27Al (10-15) 26Al (106 at) Corrected 26Al (106 at) Corrected [26Al] (106 at/g) GF-2A 11.646 0.8 157516 14 1731 79.03 ± 4.88 3.0533 ± 0.1885 3.0366 ± 0.2044 0.2607 ± 0.0176 GF-5A 23.523 3.0 157517 14 3942 54.32 ± 3.27 4.7791 ± 0.2877 4.7625 ± 0.3036 0.2025 ± 0.0129 GF-8A 33.839 5.0 157518 14 8028 33.45 ± 2.46 5.9935 ± 0.4408 5.9769 ± 0.4567 0.1766 ± 0.0135 GF-10A 23.304 6.2 157519 14 3706 47.33 ± 3.12 3.9149 ± 0.2581 3.8983 ± 0.2740 0.1673 ± 0.0118 GF-19A 12.934 12.8 157520 14 1879 36.68 ± 3.16 1.5383 ± 0.1325 1.5217 ± 0.1484 0.1176 ± 0.0115 GF-26A 13.056 17.9 157521 14 2013 20.50 ± 2.11 0.9210 ± 0.0948 0.9044 ± 0.1107 0.0693 ± 0.0085 GF-35A 8.921 24.8 157522 14 1589 13.42 ± 2.01 0.4759 ± 0.0713 0.4593 ± 0.0872 0.0515 ± 0.0098 GF-49A 23.611 34.8 154879 11 2237 17.76 ± 2.30 0.8867 ± 0.1148 0.8580 ± 0.1307 0.0363 ± 0.0055 WO_BLK11 --- --- 154885 --- 1138 1.13 ± 1.30 0.0287 ± 0.0330 --- --- WO_BLK14 --- --- 157523 --- 1048 0.71 ± 0.68 0.0166 ± 0.0159 --- --- Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 11 Table 3B. In-situ beryllium data for the GFS-1 core. All uncertainties are reported at the 1σ level. Analyses of 10Be/9Be were normalized to standard 07KNSTD (2.85•10-12) following Nishiizumi (2007). NOTE: Depths are taken from top of core and do not reflect anthropogenic removal of material. Sample name Quartz mass (g) GFS-1 depth (m) AMS cathode Blank # Carrier Be (μg) 10Be/9Be (10-15) 10Be (106 at) Corrected 10Be (106 at) Corrected [10Be] (106 at/g) GF-2A 11.646 0.8 157500 14 261.9 50.73 ± 2.79 0.8878 ± 0.0488 0.8461 ± 0.0589 0.0727 ± 0.0051 GF-5A 23.523 3.0 157501 14 260.0 91.30 ± 2.98 1.5862 ± 0.0518 1.5445 ± 0.0618 0.0657 ± 0.0026 GF-8A 33.839 5.0 157502 14 270.8 116.66 ± 4.05 2.1110 ± 0.0733 2.0693 ± 0.0833 0.0612 ± 0.0025 GF-10A 23.304 6.2 157503 14 261.4 82.53 ± 4.26 1.4415 ± 0.0744 1.3999 ± 0.0845 0.0601 ± 0.0036 GF-19A 12.934 12.8 157504 14 270.0 39.70 ± 2.37 0.7163 ± 0.0428 0.6746 ± 0.0528 0.0522 ± 0.0041 GF-26A 13.056 17.9 157505 14 269.0 37.07 ± 2.02 0.6663 ± 0.0363 0.6247 ± 0.0464 0.0478 ± 0.0036 GF-35A 8.921 24.8 157506 14 269.0 23.52 ± 1.90 0.4228 ± 0.0342 0.3811 ± 0.0442 0.0427 ± 0.0050 GF-49A 23.611 34.8 154871 11 266.2 61.69 ± 3.21 1.0973 ± 0.0571 1.0719 ± 0.0687 0.0454 ± 0.0029 WO_ BLK11 --- --- 184877 --- 266.3 1.43 ± 0.65 0.0254 ± 0.0116 --- --- WO_ BLK14 --- --- 157507 --- 268.8 2.32 ± 0.56 0.0417 ± 0.0101 --- --- Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 12 10Be and 26Al concentrations showed exponential relationships with depth (Fig. 3). Attempts to model the postburial production of 26Al and 10Be to obtain an absolute burial age for the GFS-1 core sediments were stymied by (a) poor constraints on the cosmic ray flux throughout the sinkhole complex, which is influenced by the complicated geometry of surrounding bedrock, and (b) low concentrations of inherited cosmogenic 26Al and 10Be (Odom 2020). As such, here we report only minimum burial ages derived from in-situ cosmogenic 26Al and 10Be. Minimum burial age calculations for each sample depth (which are calculated assuming no postburial production of 26Al or 10Be) are provided in Figure 3 and Table 4, and ranged from 1.32 ± 0.20 Ma (1σ) at the shallowest sample location to 4.43 ± 0.34 Ma (1σ) Figure 3. In-situ cosmogenic nuclide concentrations and minimum burial age data throughout the GFS-1 core. Depths are listed from the top of the GFS-1 core, which was bored in an excavated area; as such, the listed depths are several meters shallower than they would have been for much of the deposit’s existence. Left: Concentrations of 26Al and 10Be with depth in the GFS-1 core. All uncertainties shown are at the 1σ level. Right: Minimum burial ages (assuming no postburial production) of the in-situ samples from the GFS-1 core. Gray lines extend from the mean ± 1σ minimum burial ages to emphasize that these ages are only minimum bounds on the burial ages of the GFS-1 sediments. The infeasibility of modeling postburial production at this location precludes this study from placing maximum bounds on any of the 26Al/10Be burial ages. Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 13 Table 4. Measured 26Al/10Be ratios and minimum burial ages (assuming zero post-burial production of 26Al or 10Be) for in-situ samples in the GFS-1 core. All uncertainties are reported at the 1σ level. Given the poorly constrained geometry of the sinkhole complex, estimates of postburial production rates and relevant maximum burial ages have not been included due to the poor age constraints they provide (Odom 2020). Sample name GFS-1 depth (m) Corrected 26Al/10Be Minimum burial age (Ma) GF-2A 0.8 3.59 ± 0.35 1.32 ± 0.20 GF-5A 3.0 3.08 ± 0.23 1.65 ± 0.16 GF-8A 5.0 2.89 ± 0.25 1.78 ± 0.17 GF-10A 6.2 2.78 ± 0.26 1.84 ± 0.19 GF-19A 12.8 2.25 ± 0.28 2.27 ± 0.26 GF-26A 17.9 1.45 ± 0.21 3.21 ± 0.31 GF-35A 24.8 1.21 ± 0.27 3.61 ± 0.48 GF-49A 34.8 0.80 ± 0.13 4.43 ± 0.34 Figure 4. Results of 26Al/10Be and meteoric 10Be/9Be geochronology in the context of previous age estimates (Samuels et al., 2018, Wallace and Wang 2004) and the geologic timescale. Mean values are shown as black vertical lines and boxes are shaded to include ± 1σ uncertainties for cosmogenic nuclide ages. The oldest 26Al/10Be minimum burial age (4.43 ± 0.34 Ma), derived from the deepest insitu sample at 34.8 meters below core top, is shown. The sample from which this minimum burial age was derived experienced the least postburial production of 26Al and 10Be out of all the in-situ samples, and therefore should yield the most realistic minimum burial age. Its range of possible ages extends to infinity, as a maximum age cannot be modeled. The meteoric 10Be/9Be age (6.60 ± 0.85 Ma), derived from sample ETSU 2021-10, is plotted with 35% total external uncertainty. Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 14 at the deepest sample location. This increase in minimum age with depth likely reflects decreasing postburial production, and neither necessitates nor excludes an upward-younging trend for the sediments. Based on 26Al/10Be data alone, however, it is clear that the burial of basal sediments at 34.8 m depth (sample GF-49A) dates to at least the early Pliocene and may have occurred earlier. Discussion Synthesizing meteoric 10Be/9Be and in-situ 26Al/10Be ages The 2 cosmogenic nuclide geochronology techniques used in this study converge on a consistent burial age for the basal sediments in the GFS-1 core (Fig. 4). Deposition of the basal sediments is well constrained by the meteoric 10Be/9Be age of 6.60 ± 0.85 Ma, which represents an absolute age (i.e., one with younger and older bounds) for sediments at 36.2–36.3 m depth. With 1σ external uncertainty, this age falls entirely within the late Miocene. The in-situ geochronology provides a looser constraint on sediment ages, given that maximum boundaries cannot be placed on 26Al/10Be burial ages due to difficulty modeling the postburial production of 26Al and 10Be. While exact rates of postburial production could not be modeled, it is reasonable to infer that the deepest in-situ sample, GF-49A, was least affected and would, therefore, yield a minimum burial age closest to its true burial age. This minimum burial age, 4.43 ± 0.34 Ma, demonstrates that the sediments at 34.8 m depth were, indeed, at least early Pliocene in age. While this minimum age does overlap with recent biochronologic estimates for the uppermost GFS (Samuels et al. 2018), it is critical to note that this age is a minimum only, and that the maximum age remains unbounded to infinity. As such, it is also consistent with the meteoric 10Be/9Be age located less than 2 meters below it that places a late Miocene age on the basal sediments. Revisiting an early Cenozoic age for the base of the GFS-1 core Our data support a late Miocene age for the basal GFS-1 core sediments, contrasting with the observations of Zobaa et al. (2011) that estimated a Paleocene–Eocene age for the lower portion of the GFS-1 core. A re-examination of the palynological data presented in Zobaa et al. (2011) reveals the presence of several pollen types that were present during the late Cenozoic (Cupuliferoipollenites pusillus, Tricolporopollenites kruschii, Ulmipollenites undulosus, Caryapollenites simplex, Tubulifloridites antipodica, Pinuspollenites strobipites, Malvacearumpollis mannanensis, Fraxinus Columbiana, Chenopodipollis granulata, and Pseudoschizaea ozeanica) (White 2008 and references therein) that are consistent with our age finding. Zobaa et al. (2011) hypothesized that younger fossil pollen had percolated through cracks and fractures into the cored section, but it appears more likely that older pollen was preserved in the gradually eroding Cenozoic landscape and subsequently deposited in the sinkhole complex during the late Miocene. Biostratigraphic considerations Given that our data exclude a Paleocene–Eocene age and support a Neogene age for the lower sediments of the GFS-1 core, we consider the Neogene biostratigraphy that has thus far provided the most consistent age estimates for the uppermost sections of the deposit. The biostratigraphic age estimates for the Gray Fossil Site have generally corresponded to the late Miocene and early Pliocene. Using bear and rhinoceros fossils, Wallace and Wang (2004) estimated that the deposit dated to 7–4.5 Ma, which includes both the late Miocene and early Pliocene. The later works of Samuels et al. (2018), Bōgner Pan-American Paleontology W. E. Odom, D. E. Granger, and S. C. Wallace 2025 No. 1 15 and Samuels (2022), and Oberg and Samuels (2022) pointed to an early Pliocene age. Our most likely meteoric 10Be/9Be age indicates a late Miocene age for the basal sediments that underlie the fauna. It is possible that, if the sinkhole filled slowly or unconformities occurred in the sequence, the lower sediments could be late Miocene in age while the shallower sediments could date to the early Pliocene. Alternatively, it is possible that sinkhole filling rapidly transpired over several thousand years during the late Miocene, as estimated by Shunk et al. (2009). In this case, perceived disagreements between faunal age estimates and cosmogenic nuclide geochronology could be tied to the current constraints on fauna used for biostratigraphy, as well as the sensitivity of the cosmogenic 26Al/10Be and 10Bemet/9Be techniques to the surrounding environment. It is also possible that the fossil record employed by biostratigraphers at the GFS has underestimated the dates of first appearance for Alilepus vagus, Neotoma, Notolagus lepusculus, and Symmetrodontomys fossils. Those taxa identified to the genus-level only could, in fact, represent new taxa, and those identified to species are far removed (geographically) from their closest counterparts. Given the existing data, however, it is not possible to determine the radiometric age of the fossil-bearing upper sinkhole deposits. Conclusions This study provides the first direct radiometric constraints on the age of the lower Gray Fossil Site deposit. Minimum burial ages derived from our 26Al/10Be measurements for the GFS-1 core strongly point to a minimum early Pliocene age, but cannot place definite upper bounds on the age of the sinkhole complex. This age estimate is further constrained by our 10Bemet/9Be age for the sinkhole complex’s basal sediments (6.60 ± 0.85 Ma), which falls within the late Miocene. It is difficult to determine whether the entire GFS deposit – and the biota within – dates to only the late Miocene, or if the deposit youngs upward into the early Pliocene. 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