# The hidden role of dissolved organic carbon in the biogeochemical cycle of carbon in modern redox-stratified lakes

Robin Havas, Christophe Thomazo, Miguel Iniesto, Didier Jézéquel, David Moreira, Rosaluz Tavera, Jeanne Caumartin, Elodie Muller, Purificación López-García, Karim Benzerara

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## To cite this version:

Robin Havas, Christophe Thomazo, Miguel Iniesto, Didier Jézéquel, David Moreira, et al.. The hidden role of dissolved organic carbon in the biogeochemical cycle of carbon in modern redox-stratified lakes. Biogeosciences, 2023, 20 (12), pp.2405-2424. 10.5194/bg-20-2405-2023. hal-04182498

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https://hal.inrae.fr/hal-04182498

Submitted on 28 Feb 2024

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# The hidden role of dissolved organic carbon in the biogeochemical cycle of carbon in modern redox-stratified lakes

Robin Havas<fnref n="1" />, Christophe Thomazo<fnref n="1" />,<fnref n="2" />, Miguel Iniesto<fnref n="3" />, Didier Jézéquel<fnref n="4" />,<fnref n="5" />, David Moreira<fnref n="3" />, Rosaluz Tavera<fnref n="6" />, Jeanne Caumartin<fnref n="7" />, Elodie Muller<fnref n="7" />, Purificación López-García<fnref n="3" />, and Karim Benzerara<fnref n="7" />

**Correspondence:** Robin Havas (robin.havas@gmail.com)

Received: 6 January 2023 – Discussion started: 12 January 2023

Revised: 18 April 2023 – Accepted: 25 May 2023 – Published: 23 June 2023

**Abstract.** The dissolved organic carbon (DOC) reservoir plays a critical role in the C cycle of marine and freshwater environments because of its size and implication in many biogeochemical reactions. Although it is poorly constrained, its importance in ancient Earth's C cycles is also commonly invoked. Yet DOC is rarely quantified and characterized in modern stratified analogues. In this study, we investigated the DOC reservoirs of four redox-stratified alkaline crater lakes in Mexico. We analyzed the concentrations and isotopic compositions of DOC throughout the four water columns and compared them with existing data on dissolved inorganic and particulate organic C reservoirs (DIC and POC). The four lakes have high DOC concentrations with great variability between and within the lakes (averaging $2 \pm 4$ mM; 1 SD, $n = 28$; i.e., from ~15 to 160 times the amount of POC). The $\delta^{13}C_{DOC}$ signatures also span a broad range of values from -29.3‰ to -8.7‰ (with as much as 12.5‰ variation within a single lake). The prominent DOC peaks (up to 21 mM), together with their associated isotopic variability, are interpreted as reflecting oxygenic and/or anoxygenic primary productivity through the release of excess fixed carbon in three of the lakes (Alberca de los Espinos, La Preciosa, and Atexcac). By contrast, the variability of [DOC] and $\delta^{13}C_{DOC}$ in the case of Lake Alchichica is mainly explained by the partial degradation of organic matter and the accumulation of

DOC in anoxic waters. The DOC records detailed metabolic functions such as active DIC-uptake and DIC-concentrating mechanisms, which cannot be inferred from DIC and POC analyses alone but which are critical to the understanding of carbon fluxes from the environment to the biomass. Extrapolating our results to the geological record, we suggest that anaerobic oxidation of DOC may have caused the very negative C isotope excursions in the Neoproterozoic. It is, however, unlikely that a large oceanic DOC reservoir could outweigh the entire oceanic DIC reservoir. This study demonstrates how the analysis of DOC in modern systems deepens our understanding of the C cycle in stratified environments and helps to set boundary conditions for the Earth's past oceans.

## 1 Introduction

Dissolved organic carbon (DOC) is a major constituent of today's marine and freshwater environments (e.g., Ridgwell and Arndt, 2015; Brailsford, 2019). It is an operationally defined fraction of aqueous organic carbon within a continuum of organic molecules spanning a broad range of sizes, compositions, degrees of reactivity, and bioavailability (Kaplan et al., 2008; Hansell, 2013; Beaupré, 2015; Carlson and

<footnote n="1">¹Biogéosciences, CNRS, Université de Bourgogne Franche-Comté, 21 000 Dijon, France</footnote>

<footnote n="2">²Institut Universitaire de France, 75005 Paris, France</footnote>

<footnote n="3">³Ecologie Systématique Evolution, CNRS, Université Paris-Saclay, AgroParisTech, 91190 Gif-sur-Yvette, France</footnote>

<footnote n="4">⁴IPGP, CNRS, Université de Paris Cité, 75005 Paris, France</footnote>

<footnote n="5">⁵UMR CARRTEL, INRAE and USMB, 74200 Thonon-les-Bains, France</footnote>

<footnote n="6">⁶Departamento de Ecología y Recursos Naturales, Universidad Nacional Autónoma de México, México City, México</footnote>

<footnote n="7">⁷Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie (IMPMC), CNRS, Muséum National d'Histoire Naturelle, Sorbonne Université, 75005 Paris, France</footnote>
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# The hidden role of dissolved organic carbon in the biogeochemical cycle of carbon in modern redox-stratified lakes

Robin Havas¹, Christophe Thomazo¹,², Miguel Iniesto³, Didier Jézéquel⁴,⁵, David Moreira³, Rosaluz Tavera⁶, Jeanne Caumartin⁷, Elodie Muller⁷, Purificación López-García³, and Karim Benzerara⁷

¹Biogéosciences, CNRS, Université de Bourgogne Franche-Comté, 21 000 Dijon, France

²Institut Universitaire de France, 75005 Paris, France

³Ecologie Systématique Evolution, CNRS, Université Paris-Saclay, AgroParisTech, 91190 Gif-sur-Yvette, France

⁴IPGP, CNRS, Université de Paris Cité, 75005 Paris, France

⁵UMR CARRTEL, INRAE and USMB, 74200 Thonon-les-Bains, France

⁶Departamento de Ecología y Recursos Naturales, Universidad Nacional Autónoma de México, México City, México

⁷Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie (IMPMC), CNRS, Muséum National d'Histoire Naturelle, Sorbonne Université, 75005 Paris, France

**Correspondence:** Robin Havas (robin.havas@gmail.com)

Received: 6 January 2023 – Discussion started: 12 January 2023

Revised: 18 April 2023 – Accepted: 25 May 2023 – Published: 23 June 2023

**Abstract.** The dissolved organic carbon (DOC) reservoir plays a critical role in the C cycle of marine and freshwater environments because of its size and implication in many biogeochemical reactions. Although it is poorly constrained, its importance in ancient Earth's C cycles is also commonly invoked. Yet DOC is rarely quantified and characterized in modern stratified analogues. In this study, we investigated the DOC reservoirs of four redox-stratified alkaline crater lakes in Mexico. We analyzed the concentrations and isotopic compositions of DOC throughout the four water columns and compared them with existing data on dissolved inorganic and particulate organic C reservoirs (DIC and POC). The four lakes have high DOC concentrations with great variability between and within the lakes (averaging $2 \pm 4$ mM; 1 SD, $n = 28$; i.e., from ~15 to 160 times the amount of POC). The $\delta^{13}C_{DOC}$ signatures also span a broad range of values from -29.3‰ to -8.7‰ (with as much as 12.5‰ variation within a single lake). The prominent DOC peaks (up to 21 mM), together with their associated isotopic variability, are interpreted as reflecting oxygenic and/or anoxygenic primary productivity through the release of excess fixed carbon in three of the lakes (Alberca de los Espinos, La Preciosa, and Atexcac). By contrast, the variability of [DOC] and $\delta^{13}C_{DOC}$ in the case of Lake Alchichica is mainly explained by the partial degradation of organic matter and the accumulation of

DOC in anoxic waters. The DOC records detailed metabolic functions such as active DIC-uptake and DIC-concentrating mechanisms, which cannot be inferred from DIC and POC analyses alone but which are critical to the understanding of carbon fluxes from the environment to the biomass. Extrapolating our results to the geological record, we suggest that anaerobic oxidation of DOC may have caused the very negative C isotope excursions in the Neoproterozoic. It is, however, unlikely that a large oceanic DOC reservoir could outweigh the entire oceanic DIC reservoir. This study demonstrates how the analysis of DOC in modern systems deepens our understanding of the C cycle in stratified environments and helps to set boundary conditions for the Earth's past oceans.

## 1 Introduction

Dissolved organic carbon (DOC) is a major constituent of today's marine and freshwater environments (e.g., Ridgwell and Arndt, 2015; Brailsford, 2019). It is an operationally defined fraction of aqueous organic carbon within a continuum of organic molecules spanning a broad range of sizes, compositions, degrees of reactivity, and bioavailability (Kaplan et al., 2008; Hansell, 2013; Beaupré, 2015; Carlson and
Hansell, 2015; Brailsford, 2019). Oceanic DOC is equivalent to the total amount of atmospheric carbon (Jiao et al., 2010; Thornton, 2014) and represents the majority of freshwater organic matter (Kaplan et al., 2008; Brailsford, 2019). The DOC reservoir (i) is at the base of many trophic chains (Bade et al., 2007; Hessen and Anderson, 2008; Jiao et al., 2010; Thornton, 2014), (ii) is key in physiological and ecological equilibria (Hessen and Anderson, 2008), and (iii) plays a critical role in climate change as a long-term C storage reservoir (Jiao et al., 2010; Hansell, 2013; Thornton, 2014; Ridgwell and Arndt, 2015). Although isotopic signatures are a powerful and widespread tool in biogeochemical studies, the use of DOC isotopes has been relatively limited owing to technical difficulties (Cawley et al., 2012; Barber et al., 2017). Radioisotopes or labeled stable isotopes of DOC have been used to date and retrace DOC compounds in diverse aquatic environments (e.g., Repeta and Aluwihare, 2006; Bade et al., 2007; Kaplan et al., 2008; Brailsford, 2019). Studies featuring natural abundances of DOC stable isotope data (i.e., δ¹³C₉₅C) mainly used them to discriminate between different source endmembers (e.g., terrestrial vs. autochthonous) (e.g., Cawley et al., 2012; Santinelli et al., 2015; Barber et al., 2017). After a pioneer study by Williams and Gordon (1970), few studies have used natural DOC stable isotope compositions to explore processes intrinsically related to its production and recycling. Recently, Wagner et al. (2020) reaffirmed the utility of stable isotopes to investigate DOC biosynthesis, degradation pathways, and transfer within the food web.

Several studies have suggested a significant role for the DOC reservoir throughout geological time, when it would have been much larger in size and impacted various phenomena, including the regulation of climate and glaciations during the Neoproterozoic (e.g., Peltier et al., 2007), the paleoecology of Ediacaran biota and its early complex life forms (e.g., Sperling et al., 2011), the oxygenation of the ocean through innovations of eukaryotic life near the Neoproterozoic-Cambrian transition (e.g., Lenton and Daines, 2018), and the perturbation of the C cycle recorded in δ¹³C sedimentary archives from the Neoproterozoic to the Phanerozoic (e.g., Rothman et al., 2003; Fike et al., 2006; Sexton et al., 2011; Ridgwell and Arndt, 2015).

The contribution of DOC reservoirs to the past and modern Earth's global climate and biogeochemical cycles remains poorly constrained (Jiao et al., 2010; Sperling et al., 2011; Dittmar, 2015; Fakhraee et al., 2021), and the existence and consequences of large ancient oceanic DOC are still debated (e.g., Jiang et al., 2010, 2012; Ridgwell and Arndt, 2015; Li et al., 2017; Fakhraee et al., 2021). Thus, in addition to modeling approaches (e.g., Shi et al., 2017; Fakhraee et al., 2021), the understanding of DOC-related processes in the past anoxic and redox-stratified oceans (Lyons et al., 2014; Havig et al., 2015; Satkoski et al., 2015) should rely on the characterization of DOC dynamics in comparable modern analogues (Sperling et al., 2011). Although many studies have explored the C cycle of modern redox-stratified environments

(e.g., Crowe et al., 2011; Kuntz et al., 2015; Posth et al., 2017; Schiff et al., 2017; Havig et al., 2018; Cadeau et al., 2020; Saini et al., 2021; Petrash et al., 2022), very few have analyzed DOC, and even fewer have measured its stable isotope signature (Havig et al., 2018).

In this study, we characterize the DOC reservoir of four modern redox-stratified alkaline crater lakes from the Trans-Mexican Volcanic Belt (Ferrari et al., 2012) and its role within the C cycle of these environments. We report DOC concentration and isotopic composition at multiple depths in the four water columns and discuss these results in the context of physicochemical parameters (temperature, dissolved oxygen, chlorophyll *a*, and nutrient concentrations) and the isotopic composition of dissolved inorganic and particulate organic carbon (DIC, POC), all measured in the same lakes and from the same water samples as in Havas et al. (2023a). The four lakes show distinct water chemistries, along an alkalinity-salinity gradient (Zeyen et al., 2021), with diverse planktonic microbial communities (Iniesto et al., 2022; Havas et al., 2023a). These characteristics allow us to examine the effect of specific environmental and ecological constraints on the production and recycling of DOC in redox-stratified environments. We then present how the analysis of DOC deepens our understanding of the C cycle in these lakes compared to more classical DIC and POC analyses. Finally, the production and fate of the DOC reservoir in these modern analogues is used to discuss the potential role of DOC in past perturbations of the sedimentary C isotope record from the Neoproterozoic and Phanerozoic.

## 2 Site description

The main characteristics of the geological, climatic, and limnological context of the lakes under study are presented here, but a more detailed description is available in Havas et al. (2023a).

The four lakes are volcanic maars formed after phreatic, magmatic, and phreatomagmatic explosions and are located in the Trans-Mexican Volcanic Belt (TMVB, Fig. 1). The first lake, Alberca de los Espinos, is located at the margin of the Zacapu tectonic lacustrine basin in the Michoacán-Guanajuato Volcanic Field (MGVF) in the western-central part of the TMVB (Fig. 1). The other three (La Preciosa, Atexcac, and Alchichica) are located within the same zone (~50 km²) of the Serdán-Oriental Basin (SOB) in the easternmost part of the TMVB (Fig. 1). Alberca, with a temperate semi-humid climate, is predominantly underlain by andesitic rocks (Siebe et al., 2012, 2014). By contrast, Alchichica shows much higher evaporation than precipitation rates, reflecting the temperate sub-humid to temperate arid climate experienced by the SOB lakes (Silva-Aguilera et al., 2022). These lakes overlie calcareous and basaltic or andesitic basement rocks (Carrasco-Núñez et al., 2007; Chako Tchamabé et al., 2020).
Hansell, 2015; Brailsford, 2019). Oceanic DOC is equivalent to the total amount of atmospheric carbon (Jiao et al., 2010; Thornton, 2014) and represents the majority of freshwater organic matter (Kaplan et al., 2008; Brailsford, 2019). The DOC reservoir (i) is at the base of many trophic chains (Bade et al., 2007; Hessen and Anderson, 2008; Jiao et al., 2010; Thornton, 2014), (ii) is key in physiological and ecological equilibria (Hessen and Anderson, 2008), and (iii) plays a critical role in climate change as a long-term C storage reservoir (Jiao et al., 2010; Hansell, 2013; Thornton, 2014; Ridgwell and Arndt, 2015). Although isotopic signatures are a powerful and widespread tool in biogeochemical studies, the use of DOC isotopes has been relatively limited owing to technical difficulties (Cawley et al., 2012; Barber et al., 2017). Radioisotopes or labeled stable isotopes of DOC have been used to date and retrace DOC compounds in diverse aquatic environments (e.g., Repeta and Aluwihare, 2006; Bade et al., 2007; Kaplan et al., 2008; Brailsford, 2019). Studies featuring natural abundances of DOC stable isotope data (i.e., δ¹³C₉₅C) mainly used them to discriminate between different source endmembers (e.g., terrestrial vs. autochthonous) (e.g., Cawley et al., 2012; Santinelli et al., 2015; Barber et al., 2017). After a pioneer study by Williams and Gordon (1970), few studies have used natural DOC stable isotope compositions to explore processes intrinsically related to its production and recycling. Recently, Wagner et al. (2020) reaffirmed the utility of stable isotopes to investigate DOC biosynthesis, degradation pathways, and transfer within the food web.

Several studies have suggested a significant role for the DOC reservoir throughout geological time, when it would have been much larger in size and impacted various phenomena, including the regulation of climate and glaciations during the Neoproterozoic (e.g., Peltier et al., 2007), the paleoecology of Ediacaran biota and its early complex life forms (e.g., Sperling et al., 2011), the oxygenation of the ocean through innovations of eukaryotic life near the Neoproterozoic-Cambrian transition (e.g., Lenton and Daines, 2018), and the perturbation of the C cycle recorded in δ¹³C sedimentary archives from the Neoproterozoic to the Phanerozoic (e.g., Rothman et al., 2003; Fike et al., 2006; Sexton et al., 2011; Ridgwell and Arndt, 2015).

The contribution of DOC reservoirs to the past and modern Earth's global climate and biogeochemical cycles remains poorly constrained (Jiao et al., 2010; Sperling et al., 2011; Dittmar, 2015; Fakhraee et al., 2021), and the existence and consequences of large ancient oceanic DOC are still debated (e.g., Jiang et al., 2010, 2012; Ridgwell and Arndt, 2015; Li et al., 2017; Fakhraee et al., 2021). Thus, in addition to modeling approaches (e.g., Shi et al., 2017; Fakhraee et al., 2021), the understanding of DOC-related processes in the past anoxic and redox-stratified oceans (Lyons et al., 2014; Havig et al., 2015; Satkoski et al., 2015) should rely on the characterization of DOC dynamics in comparable modern analogues (Sperling et al., 2011). Although many studies have explored the C cycle of modern redox-stratified envi-

ronments (e.g., Crowe et al., 2011; Kuntz et al., 2015; Posth et al., 2017; Schiff et al., 2017; Havig et al., 2018; Cadeau et al., 2020; Saini et al., 2021; Petrash et al., 2022), very few have analyzed DOC, and even fewer have measured its stable isotope signature (Havig et al., 2018).

In this study, we characterize the DOC reservoir of four modern redox-stratified alkaline crater lakes from the Trans-Mexican Volcanic Belt (Ferrari et al., 2012) and its role within the C cycle of these environments. We report DOC concentration and isotopic composition at multiple depths in the four water columns and discuss these results in the context of physicochemical parameters (temperature, dissolved oxygen, chlorophyll *a*, and nutrient concentrations) and the isotopic composition of dissolved inorganic and particulate organic carbon (DIC, POC), all measured in the same lakes and from the same water samples as in Havas et al. (2023a). The four lakes show distinct water chemistries, along an alkalinity-salinity gradient (Zeyen et al., 2021), with diverse planktonic microbial communities (Iniesto et al., 2022; Havas et al., 2023a). These characteristics allow us to examine the effect of specific environmental and ecological constraints on the production and recycling of DOC in redox-stratified environments. We then present how the analysis of DOC deepens our understanding of the C cycle in these lakes compared to more classical DIC and POC analyses. Finally, the production and fate of the DOC reservoir in these modern analogues is used to discuss the potential role of DOC in past perturbations of the sedimentary C isotope record from the Neoproterozoic and Phanerozoic.

## 2 Site description

The main characteristics of the geological, climatic, and limnological context of the lakes under study are presented here, but a more detailed description is available in Havas et al. (2023a).

The four lakes are volcanic maars formed after phreatic, magmatic, and phreatomagmatic explosions and are located in the Trans-Mexican Volcanic Belt (TMVB, Fig. 1). The first lake, Alberca de los Espinos, is located at the margin of the Zacapu tectonic lacustrine basin in the Michoacán-Guanajuato Volcanic Field (MGVF) in the western-central part of the TMVB (Fig. 1). The other three (La Preciosa, Atexcac, and Alchichica) are located within the same zone (~50 km²) of the Serdán-Oriental Basin (SOB) in the easternmost part of the TMVB (Fig. 1). Alberca, with a temperate semi-humid climate, is predominantly underlain by andesitic rocks (Siebe et al., 2012, 2014). By contrast, Alchichica shows much higher evaporation than precipitation rates, reflecting the temperate sub-humid to temperate arid climate experienced by the SOB lakes (Silva-Aguilera et al., 2022). These lakes overlie calcareous and basaltic or andesitic basement rocks (Carrasco-Núñez et al., 2007; Chako Tchamabé et al., 2020).
<figure><img src="image_2.png" /><figcaption>**Figure 1.** Geographical location and photographs of the four crater lakes. (a) Geological map from Ferrari et al. (2012) with black squares showing the location of the four studied lakes within the Trans-Mexican Volcanic Belt (TMVB). (b, c) Close-up ©Google Earth views of Alberca de los Espinos and the Serdán-Oriental Basin (SOB). The white arrows represent the approximate groundwater flow path (based on Silva-Aguilera, 2019). (d–g) Photographs of the four lakes (panel d from ©Google Image [“enamoratedemexicowebsite”] – panel e is from ©Google Earth street view, and panel g is from ©Agencia Es Imagen). Figure from Havas et al. (2023a).</figcaption></figure>

These variations in geological context and hydrological processes generate a gradient of water chemical compositions, where salinity, alkalinity, and DIC increase in the following order: (i) Lake Alberca, (ii) La Preciosa, (iii) Atexcac, and (iv) Alchichica (Zeyen et al., 2021). The four lakes are alkaline with pH values around 9. Under these conditions, DIC is composed of $HCO_3^- / CO_3^{2-}$ ions with minor amounts of $CO_2(aq)$ (< 0.5 %). This favors the precipitation of microbialite deposits, which are found in the four systems but more abundantly as alkalinity increases (Zeyen et al., 2021).

The four lakes are defined as warm monomictic with anoxic conditions prevailing in the bottom waters during most of the year (i.e., one mixing period per year, during winter; Armienta et al., 2008; Macek et al., 2020; Havas et al., 2023a). They are all closed lakes with no inflow or outflow of surficial waters and are thus fed by rain and groundwater only.

Atexcac is the most oligotrophic of the three SOB lakes (Lugo et al., 1993; Vilaclara et al., 1993; Sigala et al., 2017). Chlorophyll *a* data from May 2019 (Fig. 2), based on mean and maximum value categories (OECD et al., 1982), indicate ultra-oligotrophic conditions for Atexcac (≤ 1 and 2 µg L⁻¹, respectively), oligotrophic conditions for Alchichica (≤ 2 and 6 µg L⁻¹, respectively), intermediate conditions between oligo- and mesotrophic for Alberca (≤ 3 and 4.5 µg L⁻¹, respectively), and low-mesotrophic conditions for La Preciosa (≤ 3 and 9 µg L⁻¹, respectively). Total dissolved P concentrations from May 2019 show similar values for the three SOB lakes close to the surface (increasing in the anoxic zone of Alchichica) but much higher values for Alberca (Havas et al., 2023a). This pattern was observed during previous sampling campaigns (Zeyen et al., 2021). Alberca is surrounded by more vegetation, which could favor the input of nutrients to this lake. La Preciosa and Alberca are thus the least oligotrophic of the four lakes. Importantly, although differences in trophic status exist between the four lakes, they are more oligotrophic than eutrophic.

# 3 Method

## 3.1 Sample collection

All samples were collected in May 2019. Samples for DOC analyses were collected at different depths from the surface to the bottom of the water columns, particularly where the physicochemical parameters showed pronounced variation (e.g., at the chemocline and turbidity peaks; Fig. 2 and Table 1). Water samples were collected with a Niskin bottle. For comparison with DIC and POC data, the DOC was analyzed
<figure><img src="image_4.png" /><figcaption>**Figure 1.** Geographical location and photographs of the four crater lakes. (a) Geological map from Ferrari et al. (2012) with black squares showing the location of the four studied lakes within the Trans-Mexican Volcanic Belt (TMVB). (b, c) Close-up ©Google Earth views of Alberca de los Espinos and the Serdán-Oriental Basin (SOB). The white arrows represent the approximate groundwater flow path (based on Silva-Aguilera, 2019). (d–g) Photographs of the four lakes (panel d from ©Google Image [“enamoratedemexicowebsite”] – panel e is from ©Google Earth street view, and panel g is from ©Agencia Es Imagen). Figure from Havas et al. (2023a).</figcaption></figure>

These variations in geological context and hydrological processes generate a gradient of water chemical compositions, where salinity, alkalinity, and DIC increase in the following order: (i) Lake Alberca, (ii) La Preciosa, (iii) Atexcac, and (iv) Alchichica (Zeyen et al., 2021). The four lakes are alkaline with pH values around 9. Under these conditions, DIC is composed of $HCO_3^- / CO_3^{2-}$ ions with minor amounts of $CO_2(aq)$ (< 0.5 %). This favors the precipitation of microbialite deposits, which are found in the four systems but more abundantly as alkalinity increases (Zeyen et al., 2021).

The four lakes are defined as warm monomictic with anoxic conditions prevailing in the bottom waters during most of the year (i.e., one mixing period per year, during winter; Armienta et al., 2008; Macek et al., 2020; Havas et al., 2023a). They are all closed lakes with no inflow or outflow of surficial waters and are thus fed by rain and groundwater only.

Atexcac is the most oligotrophic of the three SOB lakes (Lugo et al., 1993; Vilaclara et al., 1993; Sigala et al., 2017). Chlorophyll *a* data from May 2019 (Fig. 2), based on mean and maximum value categories (OECD et al., 1982), indicate ultra-oligotrophic conditions for Atexcac (≤ 1 and 2 µg L⁻¹, respectively), oligotrophic conditions for Alchichica (≤ 2 and 6 µg L⁻¹, respectively), intermediate conditions between oligo- and mesotrophic for Alberca (≤ 3 and 4.5 µg L⁻¹, respectively), and low-mesotrophic conditions for La Preciosa (≤ 3 and 9 µg L⁻¹, respectively). Total dissolved P concentrations from May 2019 show similar values for the three SOB lakes close to the surface (increasing in the anoxic zone of Alchichica) but much higher values for Alberca (Havas et al., 2023a). This pattern was observed during previous sampling campaigns (Zeyen et al., 2021). Alberca is surrounded by more vegetation, which could favor the input of nutrients to this lake. La Preciosa and Alberca are thus the least oligotrophic of the four lakes. Importantly, although differences in trophic status exist between the four lakes, they are more oligotrophic than eutrophic.

# 3 Method

## 3.1 Sample collection

All samples were collected in May 2019. Samples for DOC analyses were collected at different depths from the surface to the bottom of the water columns, particularly where the physicochemical parameters showed pronounced variation (e.g., at the chemocline and turbidity peaks; Fig. 2 and Table 1). Water samples were collected with a Niskin bottle. For comparison with DIC and POC data, the DOC was analyzed
<figure><img src="image_3.png" /><figcaption>**Figure 2.** Physicochemical parameter depth profiles of Alberca de los Espinos, La Preciosa, Atexcac, and Alchichica: dissolved oxygen concentration (mg L⁻¹), water temperature (°C), and phycocyanin and chlorophyll *a* pigments (µg L⁻¹). Absolute values for phycocyanin concentrations were not determined; only relative variations are represented (with increasing concentrations to the right). Epi-, meta-, and hypolimnion layers are represented for each lake by the white, gray, and dark-gray areas based on temperature profiles with the metalimnion corresponding to the thermocline. The three layers match the oxygen-rich, intermediate, and oxygen-poor zones, except in La Preciosa. Original data from Havas et al. (2023a).</figcaption></figure>

from the same Niskin sampling as in Havas et al. (2023a), except where indicated (Fig. 4; Tables 1 and 2). Analyses of DOC and major, minor, and trace ions were carried out after water filtration at 0.22 µm, directly in the field with Filtropur S filters pre-rinsed with lake water. Details about the sampling procedure and analysis of the physicochemical parameters, as well as DIC and POC measurements, are reported in Havas et al. (2023a).

## 3.2 Dissolved organic carbon (DOC) concentration and isotope measurements

Filtered solutions were acidified to a pH of ~1–2 to degas all the DIC and leave DOC as the only C species in the solution. The bulk DOC was analyzed directly from the acidified waters (i.e., all organic C molecules smaller than 0.22 µm). The bulk concentration was measured with a Vario TOC at the Laboratoire Biogéosciences (Dijon), calibrated with a range of potassium hydrogen phthalate (Acros®) solutions. Before

isotopic analysis, the DOC concentration of the samples was adjusted to match international standards at 5 ppm (USGS 40 glutamic acid and USGS 62 caffeine). Isotopic compositions were measured at the Laboratoire Biogéosciences using an IsoTOC (Elementar, Hanau, Germany), running under He-continuous flow and coupled with an IsoPrime stable isotope ratio mass spectrometer (IRMS; Isoprime, Manchester, UK). Samples were stirred with a magnetic bar and flushed with He before injection of 1 mL sample aliquots (repeated three times). The DOC was then converted into gaseous CO₂ by combustion at 850 °C, quantitatively oxidized by copper oxide, and separated from other combustion products in a reduction column and a water condenser. This CO₂ was transferred to the IRMS via an open-split device. To avoid a significant memory effect between consecutive analyses, each sample (injected and measured three times) was separated by six injections of deionized water, and the first sample measurement was discarded. Average δ¹³C₉₅₀Cₘ₄ reproducibility was 1.0‰ for standards and 0.5‰ for sam-
<figure><img src="image_5.png" /><figcaption>**Figure 2.** Physicochemical parameter depth profiles of Alberca de los Espinos, La Preciosa, Atexcac, and Alchichica: dissolved oxygen concentration (mg L⁻¹), water temperature (°C), and phycocyanin and chlorophyll *a* pigments (µg L⁻¹). Absolute values for phycocyanin concentrations were not determined; only relative variations are represented (with increasing concentrations to the right). Epi-, meta-, and hypolimnion layers are represented for each lake by the white, gray, and dark-gray areas based on temperature profiles with the metalimnion corresponding to the thermocline. The three layers match the oxygen-rich, intermediate, and oxygen-poor zones, except in La Preciosa. Original data from Havas et al. (2023a).</figcaption></figure>

from the same Niskin sampling as in Havas et al. (2023a), except where indicated (Fig. 4; Tables 1 and 2). Analyses of DOC and major, minor, and trace ions were carried out after water filtration at 0.22 µm, directly in the field with Filtropur S filters pre-rinsed with lake water. Details about the sampling procedure and analysis of the physicochemical parameters, as well as DIC and POC measurements, are reported in Havas et al. (2023a).

## 3.2 Dissolved organic carbon (DOC) concentration and isotope measurements

Filtered solutions were acidified to a pH of ~1–2 to degas all the DIC and leave DOC as the only C species in the solution. The bulk DOC was analyzed directly from the acidified waters (i.e., all organic C molecules smaller than 0.22 µm). The bulk concentration was measured with a Vario TOC at the Laboratoire Biogéosciences (Dijon), calibrated with a range of potassium hydrogen phthalate (Acros®) solutions. Before

isotopic analysis, the DOC concentration of the samples was adjusted to match international standards at 5 ppm (USGS 40 glutamic acid and USGS 62 caffeine). Isotopic compositions were measured at the Laboratoire Biogéosciences using an IsoTOC (Elementar, Hanau, Germany), running under He-continuous flow and coupled with an IsoPrime stable isotope ratio mass spectrometer (IRMS; Isoprime, Manchester, UK). Samples were stirred with a magnetic bar and flushed with He before injection of 1 mL sample aliquots (repeated three times). The DOC was then converted into gaseous CO₂ by combustion at 850 °C, quantitatively oxidized by copper oxide, and separated from other combustion products in a reduction column and a water condenser. This CO₂ was transferred to the IRMS via an open-split device. To avoid a significant memory effect between consecutive analyses, each sample (injected and measured three times) was separated by six injections of deionized water, and the first sample measurement was discarded. Average δ¹³C₉₅₀Cₘ₄ reproducibility was 1.0‰ for standards and 0.5‰ for sam-
ples (1 SD). The average reproducibility for sample [DOC] measurements was 0.3 mM, and blank tests were below the detection limit.

In addition to DOC measurements, we calculated the total carbon concentration as the sum of DOC, DIC, and POC concentrations, with DIC and POC data from Havas et al. (2023a). The corresponding isotopic composition (δ¹³Cₘ₄) was calculated as the weighted average of the three δ¹³C. The DIC and POC isotope data were also used to calculate isotopic differences with δ¹³Cₚ₄, expressed in the Δ¹³C notation. The values for δ¹³Cₚ₄ and δ¹³Cₚ₄ are detailed in Havas et al. (2023a) and summarized in the results section.

# 4 Results

The water columns of the four lakes were clearly stratified in May 2019 (Fig. 2; Havas et al., 2023a). The epi-, meta-, and hypolimnion layers of each lake were identified based on the thermocline depths and correspond to the oxygen-rich, intermediate, and oxygen-poor layers in the four lakes, although the oxycline in La Preciosa is slightly thinner than the thermocline (~5 vs. 8 m). In the following, DIC, POC, O₂, chlorophyll *a* (Chl *a*), NH₄, P, and CO₂(aq) data are also presented.

## 4.1 Lake Alberca de los Espinos

Bulk DOC had a concentration of ~0.4 mM throughout the water column, except at 7 and 17 m, where it peaked at 1.0 and 1.7 mM, respectively (Fig. 3). Its isotopic composition (δ¹³Cₚ₄) was comprised between -27.2‰ and -25.1‰, except at 7 m, where it reached -14.7‰ (Fig. 3). It represented ~8% of total carbon on average and 93% of the organic carbon present in the water column. Total C concentration increased downward from about 7 to 9 mM. The δ¹³Cₘ₄ decreased from -3.9‰ to -7.9‰ between 5 and 17 m and then increased to -3.2‰ at 25 m (Table 1). The isotopic difference between DOC and DIC (Δ¹³Cₚ₄-DIC) was between -21.2‰ and -25.2‰, except at 7 m depth, where it peaked to -12.4‰ (Fig. 4; Table 2). The Δ¹³Cₚ₄-POC values were comprised between -1.5‰ and +3.1‰, except at 7 m depth, where DOC was enriched in ¹³C by ~11.5‰ (Fig. 4; Table 2). The DIC concentration and δ¹³Cₚ₄ averaged 7.5 ± 0.7 mM and -2.9 ± 0.8‰; the POC concentration and δ¹³Cₚ₄ averaged 0.04 ± 0.02 mM and -27.1 ± 1.3‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between 5 and 12 m depths (Fig. 2). Chl *a* concentration showed three distinct peaks at ~7.5, 12.5, and 17.5 m depths, all reaching ~4 µg L⁻¹ (Fig. 2). The average NH₄⁺ and P concentrations were 3.9 and 11.3 µM, respectively. The activity of CO₂(aq) was 10⁻⁵.⁰⁰ at 7 m depth and increased to 10⁻³.⁴⁰ at the bottom of the lake.

## 4.2 Lake La Preciosa

Bulk DOC had a concentration of ~0.5 mM throughout the water column, except at 12.5 m, where it peaked at 1.6 mM. The δ¹³Cₚ₄ was -25.9 ± 0.4‰ throughout the water column, except between 12.5 and 15 m, where it reached -20.0‰ (Fig. 3). The DOC represented ~3% of the total carbon on average and 91% of the organic carbon present in the water column. The total C concentration was relatively stable at ~13.8 mM, while δ¹³Cₘ₄ was centered around -1‰ with a decrease to -2.8‰ at 12.5 m (Table 1). The Δ¹³Cₚ₄-DIC values were very stable with depth around -26‰ but markedly increased at 12.5 m up to -19.8‰ (Fig. 4; Table 2). The Δ¹³Cₚ₄-POC values decreased from ~1.3‰ in the upper waters to ~-0.4‰ in the bottom waters but showed a peak at +7.1‰ at a depth of 12.5 m (Fig. 4; Table 2). The DIC concentration and δ¹³Cₚ₄ averaged 13.0 ± 0.8 mM and -0.2 ± 0.3‰; the POC concentration and δ¹³Cₚ₄ averaged 0.05 ± 0.02 mM and -26.1 ± 1.4‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between 8 and 14 m depths (Fig. 2). The Chl *a* concentration showed a large peak at ~10 m, reaching 9 µg L⁻¹ (Fig. 2). The average NH₄⁺ and P concentrations were 1.9 and 0.2 µM, respectively. The activity of CO₂(aq) averaged 10⁻⁴.⁵⁷.

## 4.3 Lake Atexcac

Bulk DOC had a concentration of ~1.1 mM throughout the water column, except at 16 and 23 m, where it reached 7.7 and 20.8 mM, respectively. The δ¹³Cₚ₄ increased from -20.0‰ to -8.7‰ between 5 and 23 m and decreased to -11.2‰ at 30 m. It represented about 16% of the total carbon on average and 98% of the organic carbon present in the water column. Total C concentrations and δ¹³Cₘ₄ are centered around 27.7 mM and -0.6‰ with a clear increase to 38.9 mM and a decrease to -2.7‰ at 23 m, respectively. The Δ¹³Cₚ₄-DIC values significantly increased from the surface (-20.4‰) to the hypolimnion (~-11.4‰). The DOC isotope compositions were strictly and significantly less negative than POC (i.e., enriched in heavy ¹³C), with Δ¹³Cₚ₄-POC reaching as much as +17.9‰ at the depth of 23 m (Fig. 4; Table 2). The DIC concentration and δ¹³Cₚ₄ averaged 25.7 ± 0.9 mM and 0.5 ± 0.3‰; the POC concentration and δ¹³Cₚ₄ averaged 0.04 ± 0.02 mM and -27.7 ± 1.1‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between 10 and 20 m depths (Fig. 2). Chl *a* concentration showed a small peak at 16 m, reaching 2 µg L⁻¹ (Fig. 2). The average NH₄⁺ and P concentrations were 2.5 and 0.3 µM, respectively. The activity of CO₂(aq) averaged 10⁻⁴.²⁷.
ples (1 SD). The average reproducibility for sample [DOC] measurements was 0.3 mM, and blank tests were below the detection limit.

In addition to DOC measurements, we calculated the total carbon concentration as the sum of DOC, DIC, and POC concentrations, with DIC and POC data from Havas et al. (2023a). The corresponding isotopic composition (δ¹³Cₘ₄) was calculated as the weighted average of the three δ¹³C. The DIC and POC isotope data were also used to calculate isotopic differences with δ¹³Cₚ₄, expressed in the Δ¹³C notation. The values for δ¹³Cₚ₄ and δ¹³Cₚ₄ are detailed in Havas et al. (2023a) and summarized in the results section.

# 4 Results

The water columns of the four lakes were clearly stratified in May 2019 (Fig. 2; Havas et al., 2023a). The epi-, meta-, and hypolimnion layers of each lake were identified based on the thermocline depths and correspond to the oxygen-rich, intermediate, and oxygen-poor layers in the four lakes, although the oxycline in La Preciosa is slightly thinner than the thermocline (~5 vs. 8 m). In the following, DIC, POC, O₂, chlorophyll *a* (Chl *a*), NH₄, P, and CO₂(aq) data are also presented.

## 4.1 Lake Alberca de los Espinos

Bulk DOC had a concentration of ~0.4 mM throughout the water column, except at 7 and 17 m, where it peaked at 1.0 and 1.7 mM, respectively (Fig. 3). Its isotopic composition (δ¹³Cₚ₄) was comprised between -27.2‰ and -25.1‰, except at 7 m, where it reached -14.7‰ (Fig. 3). It represented ~8% of total carbon on average and 93% of the organic carbon present in the water column. Total C concentration increased downward from about 7 to 9 mM. The δ¹³Cₘ₄ decreased from -3.9‰ to -7.9‰ between 5 and 17 m and then increased to -3.2‰ at 25 m (Table 1). The isotopic difference between DOC and DIC (Δ¹³Cₚ₄-DIC) was between -21.2‰ and -25.2‰, except at 7 m depth, where it peaked to -12.4‰ (Fig. 4; Table 2). The Δ¹³Cₚ₄-POC values were comprised between -1.5‰ and +3.1‰, except at 7 m depth, where DOC was enriched in ¹³C by ~11.5‰ (Fig. 4; Table 2). The DIC concentration and δ¹³Cₚ₄ averaged 7.5 ± 0.7 mM and -2.9 ± 0.8‰; the POC concentration and δ¹³Cₚ₄ averaged 0.04 ± 0.02 mM and -27.1 ± 1.3‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between 5 and 12 m depths (Fig. 2). Chl *a* concentration showed three distinct peaks at ~7.5, 12.5, and 17.5 m depths, all reaching ~4 µg L⁻¹ (Fig. 2). The average NH₄⁺ and P concentrations were 3.9 and 11.3 µM, respectively. The activity of CO₂(aq) was 10⁻⁵.00 at 7 m depth and increased to 10⁻³.40 at the bottom of the lake.

## 4.2 Lake La Preciosa

Bulk DOC had a concentration of ~0.5 mM throughout the water column, except at 12.5 m, where it peaked at 1.6 mM. The δ¹³Cₚ₄ was -25.9 ± 0.4‰ throughout the water column, except between 12.5 and 15 m, where it reached -20.0‰ (Fig. 3). The DOC represented ~3% of the total carbon on average and 91% of the organic carbon present in the water column. The total C concentration was relatively stable at ~13.8 mM, while δ¹³Cₘ₄ was centered around -1‰ with a decrease to -2.8‰ at 12.5 m (Table 1). The Δ¹³Cₚ₄-DIC values were very stable with depth around -26‰ but markedly increased at 12.5 m up to -19.8‰ (Fig. 4; Table 2). The Δ¹³Cₚ₄-POC values decreased from ~1.3‰ in the upper waters to ~-0.4‰ in the bottom waters but showed a peak at +7.1‰ at a depth of 12.5 m (Fig. 4; Table 2). The DIC concentration and δ¹³Cₚ₄ averaged 13.0 ± 0.8 mM and -0.2 ± 0.3‰; the POC concentration and δ¹³Cₚ₄ averaged 0.05 ± 0.02 mM and -26.1 ± 1.4‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between 8 and 14 m depths (Fig. 2). The Chl *a* concentration showed a large peak at ~10 m, reaching 9 µg L⁻¹ (Fig. 2). The average NH₄⁺ and P concentrations were 1.9 and 0.2 µM, respectively. The activity of CO₂(aq) averaged 10⁻⁴.⁵⁷.

## 4.3 Lake Atexcac

Bulk DOC had a concentration of ~1.1 mM throughout the water column, except at 16 and 23 m, where it reached 7.7 and 20.8 mM, respectively. The δ¹³Cₚ₄ increased from -20.0‰ to -8.7‰ between 5 and 23 m and decreased to -11.2‰ at 30 m. It represented about 16% of the total carbon on average and 98% of the organic carbon present in the water column. Total C concentrations and δ¹³Cₘ₄ are centered around 27.7 mM and -0.6‰ with a clear increase to 38.9 mM and a decrease to -2.7‰ at 23 m, respectively. The Δ¹³Cₚ₄-DIC values significantly increased from the surface (-20.4‰) to the hypolimnion (~-11.4‰). The DOC isotope compositions were strictly and significantly less negative than POC (i.e., enriched in heavy ¹³C), with Δ¹³Cₚ₄-POC reaching as much as +17.9‰ at the depth of 23 m (Fig. 4; Table 2). The DIC concentration and δ¹³Cₚ₄ averaged 25.7 ± 0.9 mM and 0.5 ± 0.3‰; the POC concentration and δ¹³Cₚ₄ averaged 0.04 ± 0.02 mM and -27.7 ± 1.1‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between 10 and 20 m depths (Fig. 2). Chl *a* concentration showed a small peak at 16 m, reaching 2 µg L⁻¹ (Fig. 2). The average NH₄⁺ and P concentrations were 2.5 and 0.3 µM, respectively. The activity of CO₂(aq) averaged 10⁻⁴.²⁷.
<figure><img src="image_4.png" /><figcaption>**Figure 3.** Vertical profiles of concentration and isotopic composition of dissolved organic carbon (DOC) throughout the water columns of the studied lakes: Alberca de los Espinos, La Preciosa, Atexcac, and Alchichica. Concentration is in mmol L⁻¹ (mM), and isotopic composition is in ‰ vs. VPDB. The white, gray, and dark-gray shading are as in Fig. 2. The brown shading symbolizes the presence of sediment at the bottom of the water columns (showing the greater water depth in Lake Alchichica).</figcaption></figure>

<figure><img src="image_5.png" /><figcaption>**Figure 4.** Vertical profiles of the difference in δ¹³C values of DOC and DIC (top) and of DOC and POC (bottom) throughout the water columns of the four lakes (all expressed as Δ¹³C in ‰ vs. VPDB). POC and DIC data used in these calculations are from Havas et al. (2023a). In Alchichica, δ¹³CDOC was not measured at 5 m, and its value at 10 m was used in this calculation of Δ¹³CDOC-POC. The white, gray, and dark-gray shading are as in Fig. 2. The brown shading symbolizes the presence of sediment at the bottom of the water columns.</figcaption></figure>
<figure><img src="image_6.png" /></figure>

**Figure 3.** Vertical profiles of concentration and isotopic composition of dissolved organic carbon (DOC) throughout the water columns of the studied lakes: Alberca de los Espinos, La Preciosa, Atexcac, and Alchichica. Concentration is in mmol L⁻¹ (mM), and isotopic composition is in ‰ vs. VPDB. The white, gray, and dark-gray shading are as in Fig. 2. The brown shading symbolizes the presence of sediment at the bottom of the water columns (showing the greater water depth in Lake Alchichica).

<figure><img src="image_7.png" /></figure>

**Figure 4.** Vertical profiles of the difference in δ¹³C values of DOC and DIC (top) and of DOC and POC (bottom) throughout the water columns of the four lakes (all expressed as Δ¹³C in ‰ vs. VPDB). POC and DIC data used in these calculations are from Havas et al. (2023a). In Alchichica, δ¹³CDOC was not measured at 5 m, and its value at 10 m was used in this calculation of Δ¹³CDOC-POC. The white, gray, and dark-gray shading are as in Fig. 2. The brown shading symbolizes the presence of sediment at the bottom of the water columns.
## 4.4 Lake Alchichica

Bulk DOC had a concentration of ~0.5 mM throughout the water column, except in the hypolimnion, where it reached up to 5.4 mM. The $\delta^{13}C_{DOC}$ varied from -29.3‰ to -25.1‰, with maximum values found in the hypolimnion (Fig. 3). The DOC represented about 5% of the total carbon on average and 93% of the organic carbon present in the water column. Total carbon concentration depth profile roughly followed that of DOC, while $\delta^{13}C_{total}$ was between -0.2‰ and 1.6‰ throughout the water column, except in the lower part of the hypolimnion, where it decreased to -2.3‰ (Table 1). The isotopic difference between DOC and DIC ($\Delta^{13}C_{DOC-DIC}$) was slightly smaller in the hypolimnion and was comprised between -26.7‰ and -30.9‰. The DOC isotope compositions were more negative than POC, with $\Delta^{13}C_{DOC-POC}$ values between -0.7‰ and -3.5‰ (Fig. 4; Table 2). The DIC concentration and $\delta^{13}C_{DIC}$ averaged $34.6 \pm 0.6$ mM and $1.7 \pm 0.2$‰; the POC concentration and $\delta^{13}C_{POC}$ averaged $0.01 \pm 0.04$ mM and $-25.6 \pm 1.0$‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between ~10 and 20 m depths (Fig. 2). Chl *a* showed a broad peak between ~10 and 30 m, averaging $4 \mu g L^{-1}$ and with a narrow maximum of $6 \mu g L^{-1}$ (Fig. 2). The average $NH_4^+$ and P concentrations were 4.3 and 1.5 µM, respectively. The activity of CO₂(aq) averaged $10^{-4.53}$.

## 5 Discussion

The four Mexican lakes studied here have a high DOC content but very different profiles and signatures for [DOC] and $\delta^{13}C_{DOC}$ (Fig. 3). Evaporation may increase DOC concentration (Anderson and Stedmon, 2007; Zeyen et al., 2021) but would not explain the significant intra-lake DOC variability with depth. It is likely marginal because, in contrast with what was observed for DIC (Havas et al., 2023a), there is no correlation between the average DOC concentration in the Mexican lakes and their salinity ($R^2 = 0.47, p = 0.2$ for DOC and $R^2 = 0.93, p = 5.8 \times 10^{-5}$ for DIC). In the following discussion, we therefore explore the different patterns of DOC production and fate in relation to other environmental and biological variations and how this can provide information about past DOC-related perturbations of the C cycle.

### 5.1 Sources and fate of DOC

Due to their endorheic nature, the four lakes receive relatively little allochthonous OM (Alcocer et al., 2014b; Havas et al., 2023a). It is therefore possible to focus on DOC-related processes occurring within the water column, particularly on autochthonous DOC primary production. Autochthonous DOC can form through higher-rank OM degradation processes such as sloppy feeding by zooplankton, UV photolysis, or bacterial and viral cell lysis (Lampert, 1978;

Hessen, 1992; Bade et al., 2007; Thornton, 2014; Brailsford, 2019), as well as passive (leakage) or active (exudation) release by healthy cells (e.g., Baines and Pace, 1991; Hessen and Anderson, 2008; Thornton, 2014; Ivanovsky et al., 2020). Generally, this C release (whether active or passive) tends to be enhanced in nutrient-limited conditions because recently fixed C is in excess compared with other essential nutrients such as N or P (Hessen and Anderson, 2008; Morana et al., 2014; Ivanovsky et al., 2020). For oxygenic phototrophs, this is particularly true under high photosynthesis rates because photorespiration bolsters the excretion of DOC (Renstrom-Kellner and Bergman, 1989). Oligotrophic conditions also tend to limit heterotrophic bacterial activity and thus preserve DOC stocks (Thornton, 2014; Dittmar, 2015). Both these production and preservation aspects are consistent with the trend of increasing DOC concentrations observed in the lakes, from the less oligotrophic Alberca and La Preciosa (0.7 mM on average) to the more oligotrophic Alchichica (1.8 mM) and Atexcac (6.5 mM).

#### 5.1.1 DOC release by autotrophs

In the four Mexican lakes, DOC concentration profiles exhibit one or several peaks that occur in both oxic and anoxic waters (Fig. 3). These peaks correlate with Chl *a* peaks in Alberca and La Preciosa, but not in the other two lakes. However, in Atexcac, a remarkable DOC peak (Fig. 3) occurs at the same depth as a peak of anoxygenic photosynthesis (Havas et al., 2023a). These co-occurrences indicate that a large portion of DOC in these three lakes (at least at these depths) arises from the release of photosynthetic C fixed in excess. Phytoplankton in aerobic conditions generally release dissolved organic matter by (i) an active “overflow mechanism” (DOM exudation) or (ii) passive diffusion through the cell membranes, but this remains to be shown for anoxygenic organisms. In the first case, DOM is actively released from the cells as a result of C fixation rates higher than growth and molecular synthesis rates (e.g., Baines and Pace, 1991). Hence, DOM exudation depends not only on the nature of primary producers (different taxa may display very different growth rates, photosynthetic efficiency, and exudation mechanisms) but also on environmental factors such as irradiance and nutrient availability (e.g., Otero and Vinčenzini, 2003; Morana et al., 2014; Rao et al., 2021). Exudation of DOM may also serve fitness-promoting purposes such as storage, defense, or mutualistic goals (Bateson and Ward, 1988; Hessen and Anderson, 2008). In the case of passive diffusion, DOM release also depends on cell permeability and the outward DOC gradient but is more directly related to the amount of phytoplankton biomass (e.g., Marañón et al., 2004). Thus, any new photosynthate production drives a steady DOM release rate, independent of environmental conditions to some extent (Marañón et al., 2004; Morana et al., 2014). The fact that Alberca and La Preciosa have lower DOC but Chl *a* concentrations higher than Atexcac and
## 4.4 Lake Alchichica

Bulk DOC had a concentration of ~0.5 mM throughout the water column, except in the hypolimnion, where it reached up to 5.4 mM. The $\delta^{13}C_{DOC}$ varied from -29.3‰ to -25.1‰, with maximum values found in the hypolimnion (Fig. 3). The DOC represented about 5% of the total carbon on average and 93% of the organic carbon present in the water column. Total carbon concentration depth profile roughly followed that of DOC, while $\delta^{13}C_{total}$ was between -0.2‰ and 1.6‰ throughout the water column, except in the lower part of the hypolimnion, where it decreased to -2.3‰ (Table 1). The isotopic difference between DOC and DIC ($\Delta^{13}C_{DOC-DIC}$) was slightly smaller in the hypolimnion and was comprised between -26.7‰ and -30.9‰. The DOC isotope compositions were more negative than POC, with $\Delta^{13}C_{DOC-POC}$ values between -0.7‰ and -3.5‰ (Fig. 4; Table 2). The DIC concentration and $\delta^{13}C_{DIC}$ averaged $34.6 \pm 0.6$ mM and $1.7 \pm 0.2$‰; the POC concentration and $\delta^{13}C_{POC}$ averaged $0.01 \pm 0.04$ mM and $-25.6 \pm 1.0$‰. Dissolved oxygen showed a stratified profile with an oxycline layer transitioning from O₂-saturated to O₂-depleted conditions between ~10 and 20 m depths (Fig. 2). Chl *a* showed a broad peak between ~10 and 30 m, averaging $4 \mu g L^{-1}$ and with a narrow maximum of $6 \mu g L^{-1}$ (Fig. 2). The average $NH_4^+$ and P concentrations were 4.3 and 1.5 µM, respectively. The activity of CO₂(aq) averaged $10^{-4.53}$.

## 5 Discussion

The four Mexican lakes studied here have a high DOC content but very different profiles and signatures for [DOC] and $\delta^{13}C_{DOC}$ (Fig. 3). Evaporation may increase DOC concentration (Anderson and Stedmon, 2007; Zeyen et al., 2021) but would not explain the significant intra-lake DOC variability with depth. It is likely marginal because, in contrast with what was observed for DIC (Havas et al., 2023a), there is no correlation between the average DOC concentration in the Mexican lakes and their salinity ($R^2 = 0.47, p = 0.2$ for DOC and $R^2 = 0.93, p = 5.8 \times 10^{-5}$ for DIC). In the following discussion, we therefore explore the different patterns of DOC production and fate in relation to other environmental and biological variations and how this can provide information about past DOC-related perturbations of the C cycle.

### 5.1 Sources and fate of DOC

Due to their endorheic nature, the four lakes receive relatively little allochthonous OM (Alcocer et al., 2014b; Havas et al., 2023a). It is therefore possible to focus on DOC-related processes occurring within the water column, particularly on autochthonous DOC primary production. Autochthonous DOC can form through higher-rank OM degradation processes such as sloppy feeding by zooplankton, UV photolysis, or bacterial and viral cell lysis (Lampert, 1978;

Hessen, 1992; Bade et al., 2007; Thornton, 2014; Brailsford, 2019), as well as passive (leakage) or active (exudation) release by healthy cells (e.g., Baines and Pace, 1991; Hessen and Anderson, 2008; Thornton, 2014; Ivanovsky et al., 2020). Generally, this C release (whether active or passive) tends to be enhanced in nutrient-limited conditions because recently fixed C is in excess compared with other essential nutrients such as N or P (Hessen and Anderson, 2008; Morana et al., 2014; Ivanovsky et al., 2020). For oxygenic phototrophs, this is particularly true under high photosynthesis rates because photorespiration bolsters the excretion of DOC (Renstrom-Kellner and Bergman, 1989). Oligotrophic conditions also tend to limit heterotrophic bacterial activity and thus preserve DOC stocks (Thornton, 2014; Dittmar, 2015). Both these production and preservation aspects are consistent with the trend of increasing DOC concentrations observed in the lakes, from the less oligotrophic Alberca and La Preciosa (0.7 mM on average) to the more oligotrophic Alchichica (1.8 mM) and Atexcac (6.5 mM).

### 5.1.1 DOC release by autotrophs

In the four Mexican lakes, DOC concentration profiles exhibit one or several peaks that occur in both oxic and anoxic waters (Fig. 3). These peaks correlate with Chl *a* peaks in Alberca and La Preciosa, but not in the other two lakes. However, in Atexcac, a remarkable DOC peak (Fig. 3) occurs at the same depth as a peak of anoxygenic photosynthesis (Havas et al., 2023a). These co-occurrences indicate that a large portion of DOC in these three lakes (at least at these depths) arises from the release of photosynthetic C fixed in excess. Phytoplankton in aerobic conditions generally release dissolved organic matter by (i) an active “overflow mechanism” (DOM exudation) or (ii) passive diffusion through the cell membranes, but this remains to be shown for anoxygenic organisms. In the first case, DOM is actively released from the cells as a result of C fixation rates higher than growth and molecular synthesis rates (e.g., Baines and Pace, 1991). Hence, DOM exudation depends not only on the nature of primary producers (different taxa may display very different growth rates, photosynthetic efficiency, and exudation mechanisms) but also on environmental factors such as irradiance and nutrient availability (e.g., Otero and Vinčenzini, 2003; Morana et al., 2014; Rao et al., 2021). Exudation of DOM may also serve fitness-promoting purposes such as storage, defense, or mutualistic goals (Bateson and Ward, 1988; Hessen and Anderson, 2008). In the case of passive diffusion, DOM release also depends on cell permeability and the outward DOC gradient but is more directly related to the amount of phytoplankton biomass (e.g., Marañón et al., 2004). Thus, any new photosynthate production drives a steady DOM release rate, independent of environmental conditions to some extent (Marañón et al., 2004; Morana et al., 2014). The fact that Alberca and La Preciosa have lower DOC but Chl *a* concentrations higher than Atexcac and
<table><caption>**Table 1.** Concentration and isotopic composition of dissolved organic carbon (DOC). Total carbon concentration is the sum of DOC, DIC, and POC reservoirs. For LP 8 m, [DIC] was not measured, and the total carbon concentration was not calculated. The DIC and POC were determined by Havas et al. (2023a). The $\delta^{13}C_{Total}$ is the weighted average of the three $\delta^{13}C$. ND: non-determined.</caption><thead><tr><th rowspan="2">Lake</th><th rowspan="2">Sample</th><th rowspan="2">DOC</th><th rowspan="2">Total carbon</th><th colspan="2">$\delta^{13}C_{DOC}$</th></tr><tr><th>mmol L<sup>-1</sup></th><th>%</th></tr></thead><tbody><tr><td rowspan="6">Alberca de Los Espinos</td><td>Albesp 5 m</td><td>0.4</td><td>7.2</td><td>-26.7</td><td>-3.9</td></tr><tr><td>Albesp 7 m</td><td>1.0</td><td>8.1</td><td>-14.7</td><td>-3.9</td></tr><tr><td>Albesp 10 m</td><td>0.4</td><td>7.6</td><td>-25.2</td><td>-5.1</td></tr><tr><td>Albesp 17 m</td><td>1.7</td><td>9.0</td><td>-26.3</td><td>-7.9</td></tr><tr><td>Albesp 20 m</td><td>0.4</td><td>8.4</td><td>-25.1</td><td>-4.5</td></tr><tr><td>Albesp 25 m</td><td>0.4</td><td>9.2</td><td>-27.2</td><td>-3.2</td></tr><tr><td rowspan="6">La Preciosa</td><td>LP 5 m</td><td>0.5</td><td>14.0</td><td>-25.4</td><td>-0.9</td></tr><tr><td>LP 8 m</td><td>0.9</td><td></td><td>ND</td><td>ND</td></tr><tr><td>LP 10 m</td><td>0.3</td><td>13.7</td><td>-25.7</td><td>-0.4</td></tr><tr><td>LP 12.5 m</td><td>1.6</td><td>13.2</td><td>-20.0</td><td>-2.8</td></tr><tr><td>LP 15 m</td><td>0.5</td><td>13.9</td><td>-24.0</td><td>-1.3</td></tr><tr><td>LP 20 m</td><td>0.3</td><td>13.6</td><td>-26.2</td><td>-1.0</td></tr><tr><td rowspan="5">Atexcac</td><td>ATX 5 m</td><td>0.92</td><td>27.4</td><td>-20.0</td><td>-0.4</td></tr><tr><td>ATX 10 m</td><td>1.8</td><td>28.1</td><td>-15.5</td><td>-0.7</td></tr><tr><td>ATX 16 m</td><td>7.8</td><td>34.7</td><td>ND</td><td>ND</td></tr><tr><td>ATX 23 m</td><td>21.0</td><td>45.2</td><td>-8.7</td><td>-3.6</td></tr><tr><td>ATX 30 m</td><td>0.7</td><td>26.4</td><td>-11.2</td><td>-0.1</td></tr><tr><td rowspan="10">Alchichica</td><td>AL 5 m</td><td>0.7</td><td>35.8</td><td>ND</td><td>ND</td></tr><tr><td>AL 10 m</td><td>0.4</td><td>33.5</td><td>-28.3</td><td>1.6</td></tr><tr><td>AL 20 m</td><td>0.4</td><td>35.0</td><td>-29.3</td><td>1.3</td></tr><tr><td>AL 30 m</td><td>0.4</td><td>35.1</td><td>-28.3</td><td>1.2</td></tr><tr><td>AL 35 m</td><td>2.3</td><td>37.2</td><td>-26.8</td><td>-0.2</td></tr><tr><td>AL 40 m</td><td>2.2</td><td>37.0</td><td>-25.8</td><td>-0.1</td></tr><tr><td>AL 50 m</td><td>5.0</td><td>39.8</td><td>-25.1</td><td>-1.8</td></tr><tr><td>AL 55 m</td><td>0.5</td><td>35.3</td><td>-27.6</td><td>1.1</td></tr><tr><td>AL 58 m</td><td>5.4</td><td>40.2</td><td>-27.7</td><td>-2.3</td></tr><tr><td>AL 60 m</td><td>0.7</td><td>35.3</td><td>-26.1</td><td>1.0</td></tr></tbody></table>

Alchichica overall suggests that DOC production does not directly relate to phytoplankton biomass and is not passively released. By contrast, active DOC release is supported by DOC isotope signatures. These tropical Mexican lakes correspond precisely to environmental contexts (high irradiance and oligotrophic freshwater bodies) where DOC exudation has been observed and is predicted (e.g., Baines and Pace, 1991; Morana et al., 2014; Thornton, 2014; Rao et al., 2021).

Release of DOC by primary producers can be characterized by the percentage of extracellular release (PER), which corresponds to the fraction of DOC over total (dissolved and particulate) OM primary production (e.g., Thornton, 2014). The PER is highly variable and averages about 13% of C biomass over a wide range of environments (e.g., Baines and Pace, 1991; Thornton, 2014). Values as high as 99% have been reported (see Bertilsson and Jones, 2003), showing that most of the fixed C can be released in the external aqueous media as DOC. At depths where oxygenic photosynthesis occurs,

the DOC over total OC ratio averages approximately 95%, 94%, 99%, and 85% for Alberca, La Preciosa, Atexcac, and Alchichica, respectively. Thus, although the PER was not directly measured and some of the measured DOC may correspond to an older long-term DOC reservoir, the majority of DOC measured could represent a recent phytoplankton exudation.

The DOC peaks associated with primary production (mainly photosynthesis) are characterized by very positive $\Delta^{13}C_{DOC-POC}$ (from +3‰ to +18‰, Fig. 4). These signatures further support a primary origin of DOC as photosynthetic release at these depths rather than a secondary origin by OM degradation. Bacterial heterotrophy would generate smaller and rather negative $\Delta^{13}C_{DOC-POC}$ (Sect. 5.1.2 and references therein), and cell lysis or zooplankton sloppy feeding would also produce $\delta^{13}C_{DOC}$ close to $\delta^{13}C_{POC}$ values. Photo-degradation is unlikely to proceed at these depths and would not generate such positive fractionations
<table><caption>**Table 1.** Concentration and isotopic composition of dissolved organic carbon (DOC). Total carbon concentration is the sum of DOC, DIC, and POC reservoirs. For LP 8 m, [DIC] was not measured, and the total carbon concentration was not calculated. The DIC and POC were determined by Havas et al. (2023a). The $\delta^{13}C_{Total}$ is the weighted average of the three $\delta^{13}C$. ND: non-determined.</caption><thead><tr><th rowspan="2">Lake</th><th rowspan="2">Sample</th><th rowspan="2">DOC</th><th rowspan="2">Total carbon</th><th colspan="2">$\delta^{13}C_{DOC}$</th></tr><tr><th>mmol L<sup>-1</sup></th><th>%</th></tr></thead><tbody><tr><td rowspan="6">Alberca de Los Espinos</td><td>Albesp 5 m</td><td>0.4</td><td>7.2</td><td>-26.7</td><td>-3.9</td></tr><tr><td>Albesp 7 m</td><td>1.0</td><td>8.1</td><td>-14.7</td><td>-3.9</td></tr><tr><td>Albesp 10 m</td><td>0.4</td><td>7.6</td><td>-25.2</td><td>-5.1</td></tr><tr><td>Albesp 17 m</td><td>1.7</td><td>9.0</td><td>-26.3</td><td>-7.9</td></tr><tr><td>Albesp 20 m</td><td>0.4</td><td>8.4</td><td>-25.1</td><td>-4.5</td></tr><tr><td>Albesp 25 m</td><td>0.4</td><td>9.2</td><td>-27.2</td><td>-3.2</td></tr><tr><td rowspan="6">La Preciosa</td><td>LP 5 m</td><td>0.5</td><td>14.0</td><td>-25.4</td><td>-0.9</td></tr><tr><td>LP 8 m</td><td>0.9</td><td></td><td>ND</td><td>ND</td></tr><tr><td>LP 10 m</td><td>0.3</td><td>13.7</td><td>-25.7</td><td>-0.4</td></tr><tr><td>LP 12.5 m</td><td>1.6</td><td>13.2</td><td>-20.0</td><td>-2.8</td></tr><tr><td>LP 15 m</td><td>0.5</td><td>13.9</td><td>-24.0</td><td>-1.3</td></tr><tr><td>LP 20 m</td><td>0.3</td><td>13.6</td><td>-26.2</td><td>-1.0</td></tr><tr><td rowspan="5">Atexcac</td><td>ATX 5 m</td><td>0.92</td><td>27.4</td><td>-20.0</td><td>-0.4</td></tr><tr><td>ATX 10 m</td><td>1.8</td><td>28.1</td><td>-15.5</td><td>-0.7</td></tr><tr><td>ATX 16 m</td><td>7.8</td><td>34.7</td><td>ND</td><td>ND</td></tr><tr><td>ATX 23 m</td><td>21.0</td><td>45.2</td><td>-8.7</td><td>-3.6</td></tr><tr><td>ATX 30 m</td><td>0.7</td><td>26.4</td><td>-11.2</td><td>-0.1</td></tr><tr><td rowspan="10">Alchichica</td><td>AL 5 m</td><td>0.7</td><td>35.8</td><td>ND</td><td>ND</td></tr><tr><td>AL 10 m</td><td>0.4</td><td>33.5</td><td>-28.3</td><td>1.6</td></tr><tr><td>AL 20 m</td><td>0.4</td><td>35.0</td><td>-29.3</td><td>1.3</td></tr><tr><td>AL 30 m</td><td>0.4</td><td>35.1</td><td>-28.3</td><td>1.2</td></tr><tr><td>AL 35 m</td><td>2.3</td><td>37.2</td><td>-26.8</td><td>-0.2</td></tr><tr><td>AL 40 m</td><td>2.2</td><td>37.0</td><td>-25.8</td><td>-0.1</td></tr><tr><td>AL 50 m</td><td>5.0</td><td>39.8</td><td>-25.1</td><td>-1.8</td></tr><tr><td>AL 55 m</td><td>0.5</td><td>35.3</td><td>-27.6</td><td>1.1</td></tr><tr><td>AL 58 m</td><td>5.4</td><td>40.2</td><td>-27.7</td><td>-2.3</td></tr><tr><td>AL 60 m</td><td>0.7</td><td>35.3</td><td>-26.1</td><td>1.0</td></tr></tbody></table>

Alchichica overall suggests that DOC production does not directly relate to phytoplankton biomass and is not passively released. By contrast, active DOC release is supported by DOC isotope signatures. These tropical Mexican lakes correspond precisely to environmental contexts (high irradiance and oligotrophic freshwater bodies) where DOC exudation has been observed and is predicted (e.g., Baines and Pace, 1991; Morana et al., 2014; Thornton, 2014; Rao et al., 2021).

Release of DOC by primary producers can be characterized by the percentage of extracellular release (PER), which corresponds to the fraction of DOC over total (dissolved and particulate) OM primary production (e.g., Thornton, 2014). The PER is highly variable and averages about 13% of C biomass over a wide range of environments (e.g., Baines and Pace, 1991; Thornton, 2014). Values as high as 99% have been reported (see Bertilsson and Jones, 2003), showing that most of the fixed C can be released in the external aqueous media as DOC. At depths where oxygenic photosynthesis occurs,

the DOC over total OC ratio averages approximately 95%, 94%, 99%, and 85% for Alberca, La Preciosa, Atexcac, and Alchichica, respectively. Thus, although the PER was not directly measured and some of the measured DOC may correspond to an older long-term DOC reservoir, the majority of DOC measured could represent a recent phytoplankton exudation.

The DOC peaks associated with primary production (mainly photosynthesis) are characterized by very positive $\Delta^{13}C_{DOC-POC}$ (from +3‰ to +18‰, Fig. 4). These signatures further support a primary origin of DOC as photosynthetic release at these depths rather than a secondary origin by OM degradation. Bacterial heterotrophy would generate smaller and rather negative $\Delta^{13}C_{DOC-POC}$ (Sect. 5.1.2 and references therein), and cell lysis or zooplankton sloppy feeding would also produce $\delta^{13}C_{DOC}$ close to $\delta^{13}C_{POC}$ values. Photo-degradation is unlikely to proceed at these depths and would not generate such positive fractionations
(Chomicki, 2009). A switch from CO₂(aq) to HCO₃⁻ as an in-organic C source (which differ by 10‰, e.g., Mook et al., 1974) would not adequately explain the deviation between δ¹³CₚOC and δ¹³C₌OC. The isotopic enrichment of DOC molecules relative to POC must therefore have a different origin.

The ¹³C-enriched DOC could originate from photosynthetic organisms using a different C fixation pathway, inducing a smaller isotopic fractionation (provided that these organisms contributed predominantly to the DOC rather than to the POC fraction). In Alberca and Atexcac, anoxygenic phototrophic bacteria may release large amounts of DOC, especially under nutrient-limiting conditions (Ivanovsky et al., 2020). Unlike cyanobacteria or purple sulfur bacteria (PSB, anoxygenic phototrophs belonging to the Proteobacteria), which use the Calvin–Benson–Bassham pathway (CBB), green sulfur bacteria (GSB, another group of anoxygenic phototrophs belonging to the Chlorobi) use the reductive citric acid cycle or reverse tricarboxylic acid (TCA) cycle, which tends to induce smaller isotopic fractionations (between ~3‰–13‰; Hayes, 2001). The DOC isotope signatures recorded in the hypolimnion of Alberca (εDOC-CO₂ ≈ −13.5 ± 2‰) agree well with fractionations found for this type of organism in laboratory cultures and in stratified water bodies (Posth et al., 2017). By contrast, εDOC-CO₂ signatures in the hypolimnion of Atexcac are higher (εDOC-CO₂ ≈ 0‰) and thus cannot be explained by the use of the reductive citric acid cycle C fixation pathway. Consistently, GSB were identified in Alberca but not in Atexcac (Havas et al., 2023a).

Phytoplankton blooms may specifically release isotopically heavy organic molecules. Carbohydrates could be preferentially released under nutrient-limiting conditions as they are devoid of N and P (Bertilsson and Jones, 2003; Wetz and Wheeler, 2007; Thornton, 2014). Carbohydrates typically have a ¹³C-enriched (heavy) isotopic composition (Blair et al., 1985; Jiao et al., 2010; Close and Henderson, 2020). Considering the isotopic mass balance of cell-specific organic compounds, this molecular hypothesis is insufficient to explain the full range of Δ¹³C₌DOC-POC variations measured in Alberca and Atexcac (Hayes, 2001).

Alternatively, such enrichments require that DOC and DIC first accumulate in the cells. If DOC molecules were released as soon as they were produced, their isotopic composition would tend towards that of the biomass (i.e., δ¹³CₚOC, within the range of molecule-specific isotopic compositions), which is not the case. If DIC could freely exchange between inner- and outer-cell media, maximum carboxylation-limited fractionation (between ~18‰ and 30‰ depending on Ru-BisCO form; Thomas et al., 2019) would be expressed in all synthesized organic molecules, as represented in Fig. 5a (e.g., O’Leary, 1988; Descolas-Gros and Fontungne, 1990; Fry, 1996). This is also inconsistent with the DOC isotopic signatures (see εDOC-CO₂ in Table 2).

Under the environmental conditions of the lakes studied (i.e., low CO₂ relative to HCO₃⁻, local planktonic competi-

tion for CO₂, and low nutrient availability), the activation of an intracellular DIC-concentrating mechanism (DIC-CM) is expected (Beardall et al., 1982; Burns and Beardall, 1987; Fogel and Cifuentes, 1993; Badger et al., 1998; Iñiguez et al., 2020). This mechanism is particularly relevant in oligotrophic aqueous media (Beardall et al., 1982), where CO₂ diffusion is slower than in the air (O’Leary, 1988; Fogel and Cifuentes, 1993; Iñiguez et al., 2020). A DIC-CM has been proposed to reduce the efflux of DIC from the cells back to the extracellular solution. This internal DIC is eventually converted into organic biomass, thereby drawing the cell isotopic composition closer to that of δ¹³C₌DIC (Fig. 5; Beardall et al., 1982; Fogel and Cifuentes, 1993; Werne and Hollander, 2004). As a conceptual model, we suggest that the activation of a DIC-CM could preserve a large Δ¹³CₚOC-DIC while generating an apparent fractionation between the DOC and POC molecules. The initially fixed OC would be discriminated against the heavy C isotopes and incorporated into the cellular biomass (Fig. 5c, tᵢ). In turn, following the overflow mechanism scenario, high photosynthetic rates (due to high irradiance and temperature and high DIC despite low CO₂) coupled with low population growth rates and organic molecule synthesis (due to limited abundances of P, N, and Fe) would result in the exudation of excess organic molecules with heavy δ¹³C₌DOC as they are synthesized from residual internal DIC, which progressively becomes ¹³C enriched (Fig. 5c, tᵢᵢ). This process could explain the formation of DOC with δ¹³C very close to DICand/orCO₂ signatures as observed in Lake Atexcac. This suggests that oligotrophic conditions could be a determinant factor in the generation of significantly heavy δ¹³C₌DOC, even more so if they are coupled to high irradiance. This also demonstrates that considerable isotopic variability can exist between these two organic C reservoirs.

In summary, the unusual [DOC] and δ¹³C₌DOC profiles in Alberca, La Preciosa, and Atexcac could be interpreted as mainly reflecting a prominent exudation of autochthonous C, fixed in excess by oxygenic and/or anoxygenic phototrophs in nutrient-poor and high-irradiance conditions. The striking ¹³C-rich signatures of these exudates are interpreted as reflecting either the activation of a DIC-CM by oxygenic and/or anoxygenic phototrophs or the fixation of C via the reductive citric acid cycle. We propose a conceptual model involving the DIC-CM, whereby oligotrophic and high irradiance contexts can lead to high δ¹³C₌DOC compared to both δ¹³C₌DIC and δ¹³CₚOC.

## 5.1.2 OM partial degradation and DOC accumulation: the case of Lake Alchichica

From the previous discussion, it appears that the environmental conditions of the Mexican lakes favor substantial phytoplankton production of DOC. Alcocer et al. (2014a) proposed that an early-spring cyanobacterial bloom in Lake Alchichica may favor the production of DOC in the epilimnion. How-
(Chomicki, 2009). A switch from CO₂(aq) to HCO₃⁻ as an in-organic C source (which differ by 10‰, e.g., Mook et al., 1974) would not adequately explain the deviation between δ¹³CₚOC and δ¹³CₔOC. The isotopic enrichment of DOC molecules relative to POC must therefore have a different origin.

The ¹³C-enriched DOC could originate from photosynthetic organisms using a different C fixation pathway, inducing a smaller isotopic fractionation (provided that these organisms contributed predominantly to the DOC rather than to the POC fraction). In Alberca and Atexcac, anoxygenic phototrophic bacteria may release large amounts of DOC, especially under nutrient-limiting conditions (Ivanovsky et al., 2020). Unlike cyanobacteria or purple sulfur bacteria (PSB, anoxygenic phototrophs belonging to the Proteobacteria), which use the Calvin–Benson–Bassham pathway (CBB), green sulfur bacteria (GSB, another group of anoxygenic phototrophs belonging to the Chlorobi) use the reductive citric acid cycle or reverse tricarboxylic acid (TCA) cycle, which tends to induce smaller isotopic fractionations (between ~3‰–13‰; Hayes, 2001). The DOC isotope signatures recorded in the hypolimnion of Alberca (εDOC-CO₂ ≈ −13.5 ± 2‰) agree well with fractionations found for this type of organism in laboratory cultures and in stratified water bodies (Posth et al., 2017). By contrast, εDOC-CO₂ signatures in the hypolimnion of Atexcac are higher (εDOC-CO₂ ≈ 0‰) and thus cannot be explained by the use of the reductive citric acid cycle C fixation pathway. Consistently, GSB were identified in Alberca but not in Atexcac (Havas et al., 2023a).

Phytoplankton blooms may specifically release isotopically heavy organic molecules. Carbohydrates could be preferentially released under nutrient-limiting conditions as they are devoid of N and P (Bertilsson and Jones, 2003; Wetz and Wheeler, 2007; Thornton, 2014). Carbohydrates typically have a ¹³C-enriched (heavy) isotopic composition (Blair et al., 1985; Jiao et al., 2010; Close and Henderson, 2020). Considering the isotopic mass balance of cell-specific organic compounds, this molecular hypothesis is insufficient to explain the full range of Δ¹³CₔDOC-POC variations measured in Alberca and Atexcac (Hayes, 2001).

Alternatively, such enrichments require that DOC and DIC first accumulate in the cells. If DOC molecules were released as soon as they were produced, their isotopic composition would tend towards that of the biomass (i.e., δ¹³CₚOC, within the range of molecule-specific isotopic compositions), which is not the case. If DIC could freely exchange between inner- and outer-cell media, maximum carboxylation-limited fractionation (between ~18‰ and 30‰ depending on Ru-BisCO form; Thomas et al., 2019) would be expressed in all synthesized organic molecules, as represented in Fig. 5a (e.g., O’Leary, 1988; Descolas-Gros and Fontungne, 1990; Fry, 1996). This is also inconsistent with the DOC isotopic signatures (see εDOC-CO₂ in Table 2).

Under the environmental conditions of the lakes studied (i.e., low CO₂ relative to HCO₃⁻, local planktonic competi-

tion for CO₂, and low nutrient availability), the activation of an intracellular DIC-concentrating mechanism (DIC-CM) is expected (Beardall et al., 1982; Burns and Beardall, 1987; Fogel and Cifuentes, 1993; Badger et al., 1998; Iñiguez et al., 2020). This mechanism is particularly relevant in oligotrophic aqueous media (Beardall et al., 1982), where CO₂ diffusion is slower than in the air (O’Leary, 1988; Fogel and Cifuentes, 1993; Iñiguez et al., 2020). A DIC-CM has been proposed to reduce the efflux of DIC from the cells back to the extracellular solution. This internal DIC is eventually converted into organic biomass, thereby drawing the cell isotopic composition closer to that of δ¹³CₔDIC (Fig. 5; Beardall et al., 1982; Fogel and Cifuentes, 1993; Werne and Hollander, 2004). As a conceptual model, we suggest that the activation of a DIC-CM could preserve a large Δ¹³CₚOC-DIC while generating an apparent fractionation between the DOC and POC molecules. The initially fixed OC would be discriminated against the heavy C isotopes and incorporated into the cellular biomass (Fig. 5c, tᵢ). In turn, following the overflow mechanism scenario, high photosynthetic rates (due to high irradiance and temperature and high DIC despite low CO₂) coupled with low population growth rates and organic molecule synthesis (due to limited abundances of P, N, and Fe) would result in the exudation of excess organic molecules with heavy δ¹³CₔDOC as they are synthesized from residual internal DIC, which progressively becomes ¹³C enriched (Fig. 5c, tᵢᵢ). This process could explain the formation of DOC with δ¹³C very close to DICand/orCO₂ signatures as observed in Lake Atexcac. This suggests that oligotrophic conditions could be a determinant factor in the generation of significantly heavy δ¹³CₔDOC, even more so if they are coupled to high irradiance. This also demonstrates that considerable isotopic variability can exist between these two organic C reservoirs.

In summary, the unusual [DOC] and δ¹³CₔDOC profiles in Alberca, La Preciosa, and Atexcac could be interpreted as mainly reflecting a prominent exudation of autochthonous C, fixed in excess by oxygenic and/or anoxygenic phototrophs in nutrient-poor and high-irradiance conditions. The striking ¹³C-rich signatures of these exudates are interpreted as reflecting either the activation of a DIC-CM by oxygenic and/or anoxygenic phototrophs or the fixation of C via the reductive citric acid cycle. We propose a conceptual model involving the DIC-CM, whereby oligotrophic and high irradiance contexts can lead to high δ¹³CₔDOC compared to both δ¹³CₔDIC and δ¹³CₚOC.

## 5.1.2 OM partial degradation and DOC accumulation: the case of Lake Alchichica

From the previous discussion, it appears that the environmental conditions of the Mexican lakes favor substantial phytoplankton production of DOC. Alcocer et al. (2014a) proposed that an early-spring cyanobacterial bloom in Lake Alchichica may favor the production of DOC in the epilimnion. How-
<figure><img src="image_6.png" /><figcaption>**Figure 5.** Schematic view of phytoplankton cells during autotrophic C fixation through different C supply strategies and associated apparent isotopic fractionation between DIC and POCorDOC and between DOC and POC. (a) Case where [CO₂(aq)] is high enough to allow for a DIC supply by passive CO₂(aq) diffusion through the cell membrane and where CO₂(aq) is at equilibrium with other DIC species. Isotopic fractionation is maximum (minimum δ¹³C₉₀) because C fixation is limited by the carboxylation step. DOC is released following an in- to outward cell concentration gradient and has a similar composition to POC. (b) Classic view of C isotopic cycling resulting from active DIC transport within the cell because of low ambient [CO₂(aq)] (through a DIC-CM). Carbonic anhydrase (CA) catalyzes the conversion between HCO₃ and CO₂(aq) inside or outside the cell with isotopic fractionation close to equilibrium fractionation (~10‰). While inward passive CO₂(aq) diffusion can still occur, the DIC-CM activation reduces the reverse diffusion, resulting in internal CO₂(aq) isotopic composition approaching that of the incoming DIC (depending on the fraction of internal CO₂(aq) leaving the cell). Acting as a “closed system”, most of the internal DIC is fixed as OC, and minimum isotopic fractionation is expressed for both POC and DOC. (c) Proposed model for C isotopic fractionation with active DIC transport including isotopic discrimination between POC and DOC. (tᵢ) Initially fixed C is isotopically depleted and incorporates the cell’s biomass as long as there are sufficient nutrients to enable the synthesis of complex organic molecules. (tᵢᵢ) In low nutrient conditions but with high photosynthetic activity – subsequently, fixed C is released out of the cell as DOC following the overflow hypothesis and inherits heavier isotopic compositions from the residual internal DIC. This leads to distinct POC and DOC isotopic signatures, with small fractionation between DOC and DIC, the amplitude of which will depend on the rate of CO₂ backward diffusion and the ratio of the biomass C (POC) to released C (DOC).</figcaption></figure>

ever, at the time of sampling, the DOC reservoir in this lake was not correlated with any sizable autotrophic activity at any depth. The large epilimnetic Chl *a* peak did not correlate with any changes in [DOC] or δ¹³C₉₀(Chl *a*) (Fig. 3). Compared with the other lakes, the geochemical conditions in which Chl *a* was produced in Alchichica may have been incompatible with the activation of a DIC-CM and significant DOC

exudation. Alchichica had similar [CO₂(aq)] to La Preciosa but higher P and NH₄⁺ concentrations (Havas et al., 2023a); Alberca had higher P concentrations but similar [NH₄⁺] and lower [CO₂(aq)]. In contrast with measurements from 2013 (Alcocer et al., 2014a), we found a large increase in DOC in the middle of the anoxic hypolimnion of Alchichica, which did not correspond to any change in the DIC reservoir, unlike
<figure><img src="image_8.png" /><figcaption>**Figure 5.** Schematic view of phytoplankton cells during autotrophic C fixation through different C supply strategies and associated apparent isotopic fractionation between DIC and POCorDOC and between DOC and POC. (a) Case where [CO₂(aq)] is high enough to allow for a DIC supply by passive CO₂(aq) diffusion through the cell membrane and where CO₂(aq) is at equilibrium with other DIC species. Isotopic fractionation is maximum (minimum δ¹³C₉₀) because C fixation is limited by the carboxylation step. DOC is released following an in- to outward cell concentration gradient and has a similar composition to POC. (b) Classic view of C isotopic cycling resulting from active DIC transport within the cell because of low ambient [CO₂(aq)] (through a DIC-CM). Carbonic anhydrase (CA) catalyzes the conversion between HCO₃ and CO₂(aq) inside or outside the cell with isotopic fractionation close to equilibrium fractionation (~10‰). While inward passive CO₂(aq) diffusion can still occur, the DIC-CM activation reduces the reverse diffusion, resulting in internal CO₂(aq) isotopic composition approaching that of the incoming DIC (depending on the fraction of internal CO₂(aq) leaving the cell). Acting as a “closed system”, most of the internal DIC is fixed as OC, and minimum isotopic fractionation is expressed for both POC and DOC. (c) Proposed model for C isotopic fractionation with active DIC transport including isotopic discrimination between POC and DOC. (tᵢ) Initially fixed C is isotopically depleted and incorporates the cell’s biomass as long as there are sufficient nutrients to enable the synthesis of complex organic molecules. (tᵢᵢ) In low nutrient conditions but with high photosynthetic activity – subsequently, fixed C is released out of the cell as DOC following the overflow hypothesis and inherits heavier isotopic compositions from the residual internal DIC. This leads to distinct POC and DOC isotopic signatures, with small fractionation between DOC and DIC, the amplitude of which will depend on the rate of CO₂ backward diffusion and the ratio of the biomass C (POC) to released C (DOC).</figcaption></figure>

ever, at the time of sampling, the DOC reservoir in this lake was not correlated with any sizable autotrophic activity at any depth. The large epilimnetic Chl *a* peak did not correlate with any changes in [DOC] or δ¹³C₉₀(Chl *a*) (Fig. 3). Compared with the other lakes, the geochemical conditions in which Chl *a* was produced in Alchichica may have been incompatible with the activation of a DIC-CM and significant DOC

exudation. Alchichica had similar [CO₂(aq)] to La Preciosa but higher P and NH₄⁺ concentrations (Havas et al., 2023a); Alberca had higher P concentrations but similar [NH₄⁺] and lower [CO₂(aq)]. In contrast with measurements from 2013 (Alcocer et al., 2014a), we found a large increase in DOC in the middle of the anoxic hypolimnion of Alchichica, which did not correspond to any change in the DIC reservoir, unlike
that observed for La Preciosa at 12.5 m and for Atexcac at 23 m (Havas et al., 2023a). At these depths, photosynthetic active radiation (PAR) is below 0.1 % in Alchichica during the stratified season (Macek et al., 2020), which might not be sufficient to trigger major anoxygenic phytoplankton DOC release.

The DOC reservoir in Alchichica is characterized by a $\delta^{13}C_{DOC}$ (and $\Delta^{13}C_{DOC-DIC}$) lower than in the other lakes, systematically showing $^{13}$C-depleted signatures relative to POC (i.e., $\delta^{13}C_{DOC} < \delta^{13}C_{POC}$; Fig. 4). Thus, if the DOC increase in the hypolimnion of Alchichica resulted from the release of photosynthetic OC, as in some of the other lakes, it was not associated with the same C isotope fractionation (e.g., if anoxygenic phototrophs did not concentrate intracellular DIC - cf. Fig. 5a). Some PSB have been identified, but they only become abundant toward the end of the stratification (from July-August to December-January; Alcántara-Hernández et al., 2022; Iniesto et al., 2022).

Alternatively, the hypolimnetic DOC increase in Lake Alchichica may reflect the preservation and accumulation of DOM over the years, consistent with the higher [DOC] measured in 2019 than in the previous years (Alcocer et al., 2014a). While alteration of the DOC reservoir by UV photolysis would induce positive isotopic fractionation (Chomicki, 2009), the slightly negative $\Delta^{13}C_{DOC-POC}$ signatures support the possibility of DOC being mainly a recalcitrant residue of primary OM degradation by heterotrophic organisms (Alcocer et al., 2014a). The preferential consumption of labile $^{13}$C-enriched molecules by heterotrophic bacteria would leave the residual OM with more negative isotopic signatures (Williams and Gordon, 1970; Lehmann et al., 2002; Close and Henderson, 2020). The DIC and POM data were also consistent with heterotrophic activity from the surface to the hypolimnion of Alchichica by recording complementary decreasing and increasing $\delta^{13}C$, respectively, and a decreasing C : N ratio (Havas et al., 2023a). Degradation by heterotrophic bacteria leaves more recalcitrant DOM in the water column, which tends to accumulate over longer periods of time (Ogawa et al., 2001; Jiao et al., 2010; Kawasaki et al., 2013). The DOM content is a balance between production by autotrophs and consumption by heterotrophs, especially in environments where both types of organism compete for low-concentration nutrients (Dittmar, 2015). If the DOC in Alchichica represents a long-term reservoir, its presence might favor the development of bacterial populations. A shift of the cyanobacterial DOC from the epilimnion toward the hypolimnion of Alchichica was described at the end of the spring (Alcocer et al., 2014a, 2022). Thus, part of the hypolimnetic DOC in Alchichica may originate from a phytoplankton release, as observed in the other lakes, but it was already partially degraded by heterotrophic bacteria at the time we sampled it. The deeper and darker anoxic waters of Alchichica could help to better preserve this DOC from intense microbial and light degradation, hence allowing its accumulation over time.

In conclusion, the DOC reservoir in Alchichica (notably in the hypolimnion) more likely represents an older, more evolved DOM pool. The time required for its accumulation and long-term stability has not yet been evaluated.

## 5.2 DOC analysis provides deeper insights into planktonic cell functioning and water column C cycle dynamics than POC or DIC analyses

The depth profiles of DOC concentration and isotope composition differ significantly from those of POC. Notably, in La Preciosa, the photosynthetic DOC production (+1.5 mM) at the Chl *a* peak depth matches the decrease in DIC (–2 mM), while there was no change in [POC] or $\delta^{13}C_{POC}$ (Havas et al., 2023a). Just below, at 15 m depth, $\delta^{13}C_{POC}$ exhibited a marked increase (+3.6‰), interpreted as reflecting heterotrophic activity (Havas et al., 2023a). It is likely explained by the production of DOC with heavier isotope compositions between 12.5 and 15 m depth and its consumption by heterotrophic organisms (as seen with $\Delta^{13}C_{DOC-POC} \approx 0$). In Alberca, the peaks of oxygenic and anoxygenic photosynthesis clearly stand out from DOC concentrations (+0.5/1.5 mM) but not from POC concentrations (+ < 0.03 mM), while the DIC geochemical signatures reflected the influence of OC respiration, sediment-associated methanogenesis, and possible volcanic degassing at the bottom of the lake (Havas et al., 2023a). In Atexcac, anoxygenic photosynthesis is clearly evidenced by [DOC] and $\delta^{13}C_{DOC}$ data (see Sect. 5.1.1) but is not recorded by the POC reservoir (a decrease of 0.03 mM at this depth) and not as distinctly by the DIC reservoir (a decrease of ~2 mM; Havas et al., 2023a). It implies that recently fixed OC is quickly released out of the cells as DOC, transferring most C from DIC to DOC rather than POC, which is therefore an incomplete archive of the biogeochemical reactions occurring in water columns. The isotopic analysis of DIC, and by extension of authigenic carbonates, especially in alkaline-buffered waters, might not be sensitive enough to faithfully record all environmental and biological changes.

The $\delta^{13}C_{DOC}$ values recorded in Alberca, La Preciosa, and Atexcac present peculiar heavy signatures, which provide strong constraints on plankton intra-cellular functioning and their use of C. These signatures may arise from the activation of a DIC-CM or from a specific metabolism or C fixation pathway. By contrast, the use of a DIC-CM is poorly captured by $\delta^{13}C_{POC}$, although recognition of active DIC uptake has often been based on this signal (by reduced isotopic fractionation with DIC; e.g., Beardall et al., 1982; Erez et al., 1998; Riebesell et al., 2000). Most interestingly, intra-cellular amorphous Ca carbonates (iACC) are formed in some of the cyanobacteria from Alchichica microbialites, possibly due to supersaturated intra-cell media following active DIC uptake through a DIC-CM (Couradeau et al., 2012; Benzerara et al., 2014). While the link between DIC-CM and iACC still needs to be demonstrated (Benzerara et al., 2014),
that observed for La Preciosa at 12.5 m and for Atexcac at 23 m (Havas et al., 2023a). At these depths, photosynthetic active radiation (PAR) is below 0.1 % in Alchichica during the stratified season (Macek et al., 2020), which might not be sufficient to trigger major anoxygenic phytoplankton DOC release.

The DOC reservoir in Alchichica is characterized by a $δ^{13}C_{DOC}$ (and $Δ^{13}C_{DOC-DIC}$) lower than in the other lakes, systematically showing $^{13}$C-depleted signatures relative to POC (i.e., $δ^{13}C_{DOC} < δ^{13}C_{POC}$; Fig. 4). Thus, if the DOC increase in the hypolimnion of Alchichica resulted from the release of photosynthetic OC, as in some of the other lakes, it was not associated with the same C isotope fractionation (e.g., if anoxygenic phototrophs did not concentrate intracellular DIC - cf. Fig. 5a). Some PSB have been identified, but they only become abundant toward the end of the stratification (from July-August to December-January; Alcántara-Hernández et al., 2022; Iniesto et al., 2022).

Alternatively, the hypolimnetic DOC increase in Lake Alchichica may reflect the preservation and accumulation of DOM over the years, consistent with the higher [DOC] measured in 2019 than in the previous years (Alcocer et al., 2014a). While alteration of the DOC reservoir by UV photolysis would induce positive isotopic fractionation (Chomicki, 2009), the slightly negative $Δ^{13}C_{DOC-POC}$ signatures support the possibility of DOC being mainly a recalcitrant residue of primary OM degradation by heterotrophic organisms (Alcocer et al., 2014a). The preferential consumption of labile $^{13}$C-enriched molecules by heterotrophic bacteria would leave the residual OM with more negative isotopic signatures (Williams and Gordon, 1970; Lehmann et al., 2002; Close and Henderson, 2020). The DIC and POM data were also consistent with heterotrophic activity from the surface to the hypolimnion of Alchichica by recording complementary decreasing and increasing $δ^{13}C$, respectively, and a decreasing C : N ratio (Havas et al., 2023a). Degradation by heterotrophic bacteria leaves more recalcitrant DOM in the water column, which tends to accumulate over longer periods of time (Ogawa et al., 2001; Jiao et al., 2010; Kawasaki et al., 2013). The DOM content is a balance between production by autotrophs and consumption by heterotrophs, especially in environments where both types of organism compete for low-concentration nutrients (Dittmar, 2015). If the DOC in Alchichica represents a long-term reservoir, its presence might favor the development of bacterial populations. A shift of the cyanobacterial DOC from the epilimnion toward the hypolimnion of Alchichica was described at the end of the spring (Alcocer et al., 2014a, 2022). Thus, part of the hypolimnetic DOC in Alchichica may originate from a phytoplankton release, as observed in the other lakes, but it was already partially degraded by heterotrophic bacteria at the time we sampled it. The deeper and darker anoxic waters of Alchichica could help to better preserve this DOC from intense microbial and light degradation, hence allowing its accumulation over time.

In conclusion, the DOC reservoir in Alchichica (notably in the hypolimnion) more likely represents an older, more evolved DOM pool. The time required for its accumulation and long-term stability has not yet been evaluated.

## 5.2 DOC analysis provides deeper insights into planktonic cell functioning and water column C cycle dynamics than POC or DIC analyses

The depth profiles of DOC concentration and isotope composition differ significantly from those of POC. Notably, in La Preciosa, the photosynthetic DOC production (+1.5 mM) at the Chl *a* peak depth matches the decrease in DIC (–2 mM), while there was no change in [POC] or $δ^{13}C_{POC}$ (Havas et al., 2023a). Just below, at 15 m depth, $δ^{13}C_{POC}$ exhibited a marked increase (+3.6‰), interpreted as reflecting heterotrophic activity (Havas et al., 2023a). It is likely explained by the production of DOC with heavier isotope compositions between 12.5 and 15 m depth and its consumption by heterotrophic organisms (as seen with $Δ^{13}C_{DOC-POC} ≈ 0$). In Alberca, the peaks of oxygenic and anoxygenic photosynthesis clearly stand out from DOC concentrations (+0.5/1.5 mM) but not from POC concentrations (+ < 0.03 mM), while the DIC geochemical signatures reflected the influence of OC respiration, sediment-associated methanogenesis, and possible volcanic degassing at the bottom of the lake (Havas et al., 2023a). In Atexcac, anoxygenic photosynthesis is clearly evidenced by [DOC] and $δ^{13}C_{DOC}$ data (see Sect. 5.1.1) but is not recorded by the POC reservoir (a decrease of 0.03 mM at this depth) and not as distinctly by the DIC reservoir (a decrease of ~2 mM; Havas et al., 2023a). It implies that recently fixed OC is quickly released out of the cells as DOC, transferring most C from DIC to DOC rather than POC, which is therefore an incomplete archive of the biogeochemical reactions occurring in water columns. The isotopic analysis of DIC, and by extension of authigenic carbonates, especially in alkaline-buffered waters, might not be sensitive enough to faithfully record all environmental and biological changes.

The $δ^{13}C_{DOC}$ values recorded in Alberca, La Preciosa, and Atexcac present peculiar heavy signatures, which provide strong constraints on plankton intra-cellular functioning and their use of C. These signatures may arise from the activation of a DIC-CM or from a specific metabolism or C fixation pathway. By contrast, the use of a DIC-CM is poorly captured by $δ^{13}C_{POC}$, although recognition of active DIC uptake has often been based on this signal (by reduced isotopic fractionation with DIC; e.g., Beardall et al., 1982; Erez et al., 1998; Riebesell et al., 2000). Most interestingly, intra-cellular amorphous Ca carbonates (iACC) are formed in some of the cyanobacteria from Alchichica microbialites, possibly due to supersaturated intra-cell media following active DIC uptake through a DIC-CM (Couradeau et al., 2012; Benzerara et al., 2014). While the link between DIC-CM and iACC still needs to be demonstrated (Benzerara et al., 2014),
<table><caption>**Table 2.** Isotopic fractionation between DOC and DIC and between DOC and POC, where $\Delta^{13}C_{x-y} = \delta^{13}C_x - \delta^{13}C_y$ is the apparent fractionation and $\varepsilon$ is computed as the actual metabolic isotopic discrimination between CO₂ and DOC. In Alchichica, $\delta^{13}C_{DOC}$ was not measured at 5 m, and its value at 10 m was used in this calculation of $\Delta^{13}C_{DOC-POC}$. The full chemistry at depths 35 and 58 m was not determined; thus, the calculation of $\delta^{13}C_{CO_2}$ for these samples is based on the composition of samples above and below. Isotopic data for DIC, POC, and CO₂ are from Havas et al. (2023a).</caption><thead><tr><th rowspan="2">Lake</th><th rowspan="2">Sample</th><th colspan="2">Δ<sup>13</sup>C<sub>DOC-DIC</sub></th><th>Δ<sup>13</sup>C<sub>DOC-POC</sub></th><th>ε<sub>DOC-CO<sub>2</sub></sub></th></tr><tr><th colspan="2">‰</th><th colspan="2">‰</th></tr></thead><tbody><tr><td rowspan="6">Alberca de Los Espinos</td><td>Albesp 5 m</td><td>-24.2</td><td></td><td>0.2</td><td>-14.8</td></tr><tr><td>Albesp 7 m</td><td>-12.4</td><td></td><td>11.5</td><td>-3.0</td></tr><tr><td>Albesp 10 m</td><td>-21.2</td><td></td><td>3.1</td><td>-11.6</td></tr><tr><td>Albesp 17 m</td><td>-22.9</td><td></td><td>2.7</td><td>-13.1</td></tr><tr><td>Albesp 20 m</td><td>-21.8</td><td></td><td>1.5</td><td>-12.2</td></tr><tr><td>Albesp 25 m</td><td>-25.2</td><td></td><td>-1.5</td><td>-15.9</td></tr><tr><td rowspan="6">La Preciosa</td><td>LP 5 m</td><td>-25.5</td><td></td><td>1.0</td><td>-15.7</td></tr><tr><td>LP 10 m</td><td>-25.9</td><td></td><td>1.7</td><td>-16.0</td></tr><tr><td>LP 12.5 m</td><td>-19.8</td><td></td><td>7.1</td><td>-9.8</td></tr><tr><td>LP 15 m</td><td>-23.6</td><td></td><td>-0.4</td><td>-13.5</td></tr><tr><td>LP 20 m</td><td>-25.8</td><td></td><td>0.1</td><td>-15.7</td></tr><tr><td>LP 31 m</td><td>-25.8</td><td></td><td>-1.0</td><td>-15.7</td></tr><tr><td rowspan="4">Atexcac</td><td>ATX 5 m</td><td>-20.4</td><td></td><td>8.4</td><td>-10.6</td></tr><tr><td>ATX 10 m</td><td>-16.0</td><td></td><td>12.6</td><td>-6.1</td></tr><tr><td>ATX 23 m</td><td>-9.7</td><td></td><td>17.9</td><td>0.6</td></tr><tr><td>ATX 30 m</td><td>-11.4</td><td></td><td>15.2</td><td>-1.2</td></tr><tr><td rowspan="10">Alchichica</td><td>AL 5 m</td><td>ND</td><td></td><td>-1.6</td><td></td></tr><tr><td>AL 10 m</td><td>-30.3</td><td></td><td></td><td>-20.1</td></tr><tr><td>AL 20 m</td><td>-30.9</td><td></td><td></td><td>-20.5</td></tr><tr><td>AL 30 m</td><td>-30.0</td><td></td><td>-2.0</td><td>-19.5</td></tr><tr><td>AL 35 m</td><td>-28.4</td><td></td><td>-1.0</td><td>-17.9</td></tr><tr><td>AL 40 m</td><td>-27.3</td><td></td><td>-0.7</td><td>-16.8</td></tr><tr><td>AL 50 m</td><td>-26.7</td><td></td><td></td><td>-16.2</td></tr><tr><td>AL 55 m</td><td>-29.1</td><td></td><td>-3.5</td><td>-18.7</td></tr><tr><td>AL 58 m</td><td>-29.3</td><td></td><td></td><td>-18.8</td></tr><tr><td>AL 60 m</td><td>-27.6</td><td></td><td></td><td>-17.1</td></tr></tbody></table>

the active use of DIC-CMs in Mexican lakes is independently supported by the DOC isotopic signature.

In summary, the analysis of DOC concentrations and isotope compositions showed that most of the autochthonous C fixation ends up in the DOC reservoir, thus highlighting important features of the lakes and their C cycle that were not evidenced by POC and DIC analyses alone, notably the activation of a DIC-CM and a better description of the planktonic diversity. In the future, it will be interesting to couple the present analyses with deeper molecular and compound-specific isotopic analyses of DOM (Wagner et al., 2020).

## 5.3 Implications for the hypothesis of a large DOC reservoir controlling past carbon cycling

In these Mexican lakes, the DOC concentrations (from 0.6 to 6.5 mM on average) are between 14 and 160 times higher than the POC concentrations. The DOC represents from 5%

to 16% of the total C measured in the four lakes. In comparison, it remains under 0.3 mM in large-scale anoxic basins such as the Black Sea (Ducklow et al., 2007). In the modern ocean, DOC is also the main organic pool, but its concentration rarely exceeds 0.08 mM (Hansell, 2013). Thus, the DOC pools of these lakes are much larger than in the modern ocean and can be used to draw comparisons with studies invoking past occurrences of oceanic carbon cycles dominated by vast DOC reservoirs (e.g., Rothman et al., 2003; Sexton et al., 2011).

### 5.3.1 Eocene carbon isotope excursions (CIEs)

Ventilation and/or oxidation cycles of a large deep-ocean DOC reservoir have been inferred to explain carbonate isotope records of successive warming events through the Eocene (Sexton et al., 2011). In this scenario, the release of carbon dioxide into the ocean-atmosphere system following
<table><caption>**Table 2.** Isotopic fractionation between DOC and DIC and between DOC and POC, where $\Delta^{13}C_{x-y} = \delta^{13}C_x - \delta^{13}C_y$ is the apparent fractionation and $\varepsilon$ is computed as the actual metabolic isotopic discrimination between CO₂ and DOC. In Alchichica, $\delta^{13}C_{DOC}$ was not measured at 5 m, and its value at 10 m was used in this calculation of $\Delta^{13}C_{DOC-POC}$. The full chemistry at depths 35 and 58 m was not determined; thus, the calculation of $\delta^{13}C_{CO_2}$ for these samples is based on the composition of samples above and below. Isotopic data for DIC, POC, and CO₂ are from Havas et al. (2023a).</caption><thead><tr><th rowspan="2">Lake</th><th rowspan="2">Sample</th><th colspan="2">Δ<sup>13</sup>C<sub>DOC-DIC</sub></th><th>Δ<sup>13</sup>C<sub>DOC-POC</sub></th><th>ε<sub>DOC-CO<sub>2</sub></sub></th></tr><tr><th colspan="2">‰</th><th colspan="2">‰</th></tr></thead><tbody><tr><td rowspan="6">Alberca de Los Espinos</td><td>Albesp 5 m</td><td>-24.2</td><td></td><td>0.2</td><td>-14.8</td></tr><tr><td>Albesp 7 m</td><td>-12.4</td><td></td><td>11.5</td><td>-3.0</td></tr><tr><td>Albesp 10 m</td><td>-21.2</td><td></td><td>3.1</td><td>-11.6</td></tr><tr><td>Albesp 17 m</td><td>-22.9</td><td></td><td>2.7</td><td>-13.1</td></tr><tr><td>Albesp 20 m</td><td>-21.8</td><td></td><td>1.5</td><td>-12.2</td></tr><tr><td>Albesp 25 m</td><td>-25.2</td><td></td><td>-1.5</td><td>-15.9</td></tr><tr><td rowspan="6">La Preciosa</td><td>LP 5 m</td><td>-25.5</td><td></td><td>1.0</td><td>-15.7</td></tr><tr><td>LP 10 m</td><td>-25.9</td><td></td><td>1.7</td><td>-16.0</td></tr><tr><td>LP 12.5 m</td><td>-19.8</td><td></td><td>7.1</td><td>-9.8</td></tr><tr><td>LP 15 m</td><td>-23.6</td><td></td><td>-0.4</td><td>-13.5</td></tr><tr><td>LP 20 m</td><td>-25.8</td><td></td><td>0.1</td><td>-15.7</td></tr><tr><td>LP 31 m</td><td>-25.8</td><td></td><td>-1.0</td><td>-15.7</td></tr><tr><td rowspan="4">Atexcac</td><td>ATX 5 m</td><td>-20.4</td><td></td><td>8.4</td><td>-10.6</td></tr><tr><td>ATX 10 m</td><td>-16.0</td><td></td><td>12.6</td><td>-6.1</td></tr><tr><td>ATX 23 m</td><td>-9.7</td><td></td><td>17.9</td><td>0.6</td></tr><tr><td>ATX 30 m</td><td>-11.4</td><td></td><td>15.2</td><td>-1.2</td></tr><tr><td rowspan="12">Alchichica</td><td>AL 5 m</td><td>ND</td><td></td><td>-1.6</td><td></td></tr><tr><td>AL 10 m</td><td>-30.3</td><td></td><td></td><td>-20.1</td></tr><tr><td>AL 20 m</td><td>-30.9</td><td></td><td></td><td>-20.5</td></tr><tr><td>AL 30 m</td><td>-30.0</td><td></td><td>-2.0</td><td>-19.5</td></tr><tr><td>AL 35 m</td><td>-28.4</td><td></td><td>-1.0</td><td>-17.9</td></tr><tr><td>AL 40 m</td><td>-27.3</td><td></td><td>-0.7</td><td>-16.8</td></tr><tr><td>AL 50 m</td><td>-26.7</td><td></td><td></td><td>-16.2</td></tr><tr><td>AL 55 m</td><td>-29.1</td><td></td><td>-3.5</td><td>-18.7</td></tr><tr><td>AL 58 m</td><td>-29.3</td><td></td><td></td><td>-18.8</td></tr><tr><td>AL 60 m</td><td>-27.6</td><td></td><td></td><td>-17.1</td></tr></tbody></table>

the active use of DIC-CMs in Mexican lakes is independently supported by the DOC isotopic signature.

In summary, the analysis of DOC concentrations and isotope compositions showed that most of the autochthonous C fixation ends up in the DOC reservoir, thus highlighting important features of the lakes and their C cycle that were not evidenced by POC and DIC analyses alone, notably the activation of a DIC-CM and a better description of the planktonic diversity. In the future, it will be interesting to couple the present analyses with deeper molecular and compound-specific isotopic analyses of DOM (Wagner et al., 2020).

## 5.3 Implications for the hypothesis of a large DOC reservoir controlling past carbon cycling

In these Mexican lakes, the DOC concentrations (from 0.6 to 6.5 mM on average) are between 14 and 160 times higher than the POC concentrations. The DOC represents from 5%

to 16% of the total C measured in the four lakes. In comparison, it remains under 0.3 mM in large-scale anoxic basins such as the Black Sea (Ducklow et al., 2007). In the modern ocean, DOC is also the main organic pool, but its concentration rarely exceeds 0.08 mM (Hansell, 2013). Thus, the DOC pools of these lakes are much larger than in the modern ocean and can be used to draw comparisons with studies invoking past occurrences of oceanic carbon cycles dominated by vast DOC reservoirs (e.g., Rothman et al., 2003; Sexton et al., 2011).

### 5.3.1 Eocene carbon isotope excursions (CIEs)

Ventilation and/or oxidation cycles of a large deep-ocean DOC reservoir have been inferred to explain carbonate isotope records of successive warming events through the Eocene (Sexton et al., 2011). In this scenario, the release of carbon dioxide into the ocean-atmosphere system following
DOC oxidation would trigger both the precipitation of low δ¹³C carbonates and an increase of the atmospheric greenhouse gas content. The size of this DOC reservoir should have been at least 1600 PgC (about twice the size of the modern ocean DOC reservoir) to account for a 2–4 °C increase in deep-ocean temperatures (Sexton et al., 2011). However, the main counter-argument to this hypothesis is that the buildup of such a DOC reservoir at modern DOC production rates implies sustained deep-ocean anoxia over several hundred thousand years, while independent geochemical proxies do not support the persistence of such anoxic conditions (Ridgwell and Arndt, 2015). Our study suggests, albeit at a different scale, that this kinetic argument may be weak. In these Mexican lakes, the lowest recorded [DOC] is 260 µM (Table 1), which is about 6 times the deep modern ocean concentration (~45 µM; Hansell, 2013). Yet the entire water columns of these lakes down to the surficial sediments are seasonally mixed with di-oxygen, showing that high [DOC] (notably in Alchichica, which likely harbors a long-term DOC reservoir) can be achieved despite frequent oxidative conditions. The oxidation of only half of the DOC in the lakes would generate average δ¹³C_DIC deviations between –0.6‰ and –1‰, corresponding to the C isotope excursion magnitudes described by Sexton et al. (2011).

Similarly, deep anoxic waters in the Black Sea hold about 3 times the amount of DOC found in the modern deep open ocean (Ducklow et al., 2007; Sexton et al., 2011; Dittmar, 2015). In the Black Sea and in the Mexican lakes, low nutrient availability may limit sulfate-reduction despite high sulfate and labile organic matter concentrations, thus favoring DOM preservation and accumulation (Dittmar, 2015, and references therein). Margolin et al. (2016) argued that substantial DOM is maintained in the Black Sea by large terrogenous inputs only. Our study attests to the possibility for “autochthonous systems” to reach DOC concentrations well above what is found in the Black Sea without requiring terrogenous inputs. Therefore, it supports the hypothesis that the buildup of a large DOC reservoir may have influenced the carbonate isotopic record of Eocene warming events. Nonetheless, it remains to be proven how this could apply to larger oceanic-type basins, with more variable environmental conditions (e.g., tropical vs. polar latitudes), greater diversity of eukaryotic heterotrophs (in Phanerozoic oceans), and more-active water currents and ventilation processes. A better characterization of the molecular composition of DOM in the Mexican lakes will help us understand how it can accumulate over time and refine the suggested analogy with Phanerozoic carbon isotope excursions (CIEs). Furthermore, investigating the paleo-ecology and paleo-geography of the CIE time period will also help to constrain the potential applicability of a large DOC hypothesis (Sexton et al., 2011).

### 5.3.2 Neoproterozoic carbon isotope excursions (CIEs)

The presence of a large oceanic DOC reservoir has also been used to account for the Neoproterozoic C isotope record, where carbonates show δ¹³C negative excursions of more than 10‰ over tens of millions of years (Rothman et al., 2003; Fike et al., 2006; Swanson-Hysell et al., 2010; Tziperman et al., 2011). Once again, this hypothesis has been questioned because of (i) the oversized DOC reservoir (10 times the contemporaneous DIC, i.e., 10² to 10³ times that of modern DOC) and (ii) the amount of oxidants required to generate such a sustained DOC oxidation process (see Ridgwell and Arndt, 2015). Recent studies offered potential explanations for this latter issue, showing that pulses of continental weathering and an associated increase of sulfate supply would have provided sufficient oxidants (Shields et al., 2019; Chen et al., 2022), while lateral heterogeneity of the carbonate geochemical signatures – with a restricted record of the CIEs on the continental shelves – would require lower amounts of oxidants (Li et al., 2017; Shi et al., 2017).

Critically though, direct evidence for the existence of such high oceanic DOC levels in the past remains scarce (Li et al., 2017), although multiple studies have built on the Neoproterozoic large-DOC scenario (e.g., Sperling et al., 2011; Cañadas et al., 2022). Purported high oceanic DOC concentrations during the Ediacaran period have been estimated from the Ge/Si ratio of diagenetic chert nodules (Xing et al., 2022), but they reflect the sediment porewater geochemistry and remain difficult to directly relate to the ocean water itself. Besides, some modeling approaches have suggested that DOC abundance in the past Earth’s oceans could not have markedly differed from today’s values (Fakhraee et al., 2021).

Modern analogous systems such as the Black Sea or Mexican lakes studied here support the possibility of greater DOC accumulation in anoxic waters (Ducklow et al., 2007) but only to levels substantially lower than those required to account for the Neoproterozoic CIEs (minimum concentrations estimated between 25 and 100 mM; Ridgwell and Arndt, 2015). One could argue that the development of larger DOC pools in the three Mexican lakes from the SOB is hindered by relatively large sulfate reservoirs (especially in Alchichica – ~10 mM). However, we notice that Alberca does not show a larger DOC reservoir despite having the lowest oxidant availability (both oxygen- and sulfate-free at depth) and being the only one of the four lakes to present isotopic signatures associated with methanogenesis (Havas et al., 2023a). Furthermore, the Mexican lakes are seasonally oxidized, which could consume part of their DOC reservoir. However, the Black Sea is permanently stratified and shows even lower [DOC], suggesting that DOC production might be the primary control on DOC concentration over DOC oxidation. The processes of DOC production and accumulation in the Neoproterozoic ocean could have been less efficient than today (Fakhraee et al., 2021). Nonetheless, an important limit
DOC oxidation would trigger both the precipitation of low δ¹³C carbonates and an increase of the atmospheric greenhouse gas content. The size of this DOC reservoir should have been at least 1600 PgC (about twice the size of the modern ocean DOC reservoir) to account for a 2–4 °C increase in deep-ocean temperatures (Sexton et al., 2011). However, the main counter-argument to this hypothesis is that the buildup of such a DOC reservoir at modern DOC production rates implies sustained deep-ocean anoxia over several hundred thousand years, while independent geochemical proxies do not support the persistence of such anoxic conditions (Ridgwell and Arndt, 2015). Our study suggests, albeit at a different scale, that this kinetic argument may be weak. In these Mexican lakes, the lowest recorded [DOC] is 260 µM (Table 1), which is about 6 times the deep modern ocean concentration (~45 µM; Hansell, 2013). Yet the entire water columns of these lakes down to the surficial sediments are seasonally mixed with di-oxygen, showing that high [DOC] (notably in Alchichica, which likely harbors a long-term DOC reservoir) can be achieved despite frequent oxidative conditions. The oxidation of only half of the DOC in the lakes would generate average δ¹³C_DIC deviations between –0.6‰ and –1‰, corresponding to the C isotope excursion magnitudes described by Sexton et al. (2011).

Similarly, deep anoxic waters in the Black Sea hold about 3 times the amount of DOC found in the modern deep open ocean (Ducklow et al., 2007; Sexton et al., 2011; Dittmar, 2015). In the Black Sea and in the Mexican lakes, low nutrient availability may limit sulfate-reduction despite high sulfate and labile organic matter concentrations, thus favoring DOM preservation and accumulation (Dittmar, 2015, and references therein). Margolin et al. (2016) argued that substantial DOM is maintained in the Black Sea by large терrigenous inputs only. Our study attests to the possibility for “autochthonous systems” to reach DOC concentrations well above what is found in the Black Sea without requiring terrigenous inputs. Therefore, it supports the hypothesis that the buildup of a large DOC reservoir may have influenced the carbonate isotopic record of Eocene warming events. Nonetheless, it remains to be proven how this could apply to larger oceanic-type basins, with more variable environmental conditions (e.g., tropical vs. polar latitudes), greater diversity of eukaryotic heterotrophs (in Phanerozoic oceans), and more-active water currents and ventilation processes. A better characterization of the molecular composition of DOM in the Mexican lakes will help us understand how it can accumulate over time and refine the suggested analogy with Phanerozoic carbon isotope excursions (CIEs). Furthermore, investigating the paleo-ecology and paleo-geography of the CIE time period will also help to constrain the potential applicability of a large DOC hypothesis (Sexton et al., 2011).

### 5.3.2 Neoproterozoic carbon isotope excursions (CIEs)

The presence of a large oceanic DOC reservoir has also been used to account for the Neoproterozoic C isotope record, where carbonates show δ¹³C negative excursions of more than 10‰ over tens of millions of years (Rothman et al., 2003; Fike et al., 2006; Swanson-Hysell et al., 2010; Tziperman et al., 2011). Once again, this hypothesis has been questioned because of (i) the oversized DOC reservoir (10 times the contemporaneous DIC, i.e., 10² to 10³ times that of modern DOC) and (ii) the amount of oxidants required to generate such a sustained DOC oxidation process (see Ridgwell and Arndt, 2015). Recent studies offered potential explanations for this latter issue, showing that pulses of continental weathering and an associated increase of sulfate supply would have provided sufficient oxidants (Shields et al., 2019; Chen et al., 2022), while lateral heterogeneity of the carbonate geochemical signatures – with a restricted record of the CIEs on the continental shelves – would require lower amounts of oxidants (Li et al., 2017; Shi et al., 2017).

Critically though, direct evidence for the existence of such high oceanic DOC levels in the past remains scarce (Li et al., 2017), although multiple studies have built on the Neoproterozoic large-DOC scenario (e.g., Sperling et al., 2011; Cañadas et al., 2022). Purported high oceanic DOC concentrations during the Ediacaran period have been estimated from the Ge/Si ratio of diagenetic chert nodules (Xing et al., 2022), but they reflect the sediment porewater geochemistry and remain difficult to directly relate to the ocean water itself. Besides, some modeling approaches have suggested that DOC abundance in the past Earth’s oceans could not have markedly differed from today’s values (Fakhraee et al., 2021).

Modern analogous systems such as the Black Sea or Mexican lakes studied here support the possibility of greater DOC accumulation in anoxic waters (Ducklow et al., 2007) but only to levels substantially lower than those required to account for the Neoproterozoic CIEs (minimum concentrations estimated between 25 and 100 mM; Ridgwell and Arndt, 2015). One could argue that the development of larger DOC pools in the three Mexican lakes from the SOB is hindered by relatively large sulfate reservoirs (especially in Alchichica – ~10 mM). However, we notice that Alberca does not show a larger DOC reservoir despite having the lowest oxidant availability (both oxygen- and sulfate-free at depth) and being the only one of the four lakes to present isotopic signatures associated with methanogenesis (Havas et al., 2023a). Furthermore, the Mexican lakes are seasonally oxidized, which could consume part of their DOC reservoir. However, the Black Sea is permanently stratified and shows even lower [DOC], suggesting that DOC production might be the primary control on DOC concentration over DOC oxidation. The processes of DOC production and accumulation in the Neoproterozoic ocean could have been less efficient than today (Fakhraee et al., 2021). Nonetheless, an important limit
to the analogy between modern analogues and the Precambrian oceans is the difference in the time over which DOC could have accumulated in both environments (Ridgwell and Arndt, 2015). One could expect the formation of such a large autochthonous DOC reservoir to increase the ocean inorganic C isotope composition by mass balance. However, from $\delta^{13}C_{\text{Carb}}$ data compilation (e.g., Fike et al., 2006; Saltzman and Thomas, 2012; Li et al., 2017), we see that there are no positive increases of $\delta^{13}C_{\text{Carb}}$ at the magnitude of the negative CIEs tens to hundreds of millions of years before the Neoproterozoic CIEs. Thus, even if the oxidant paradox may have found satisfactory explanations, the origin of the massive DOC reservoir required to generate these excursions still remains to be elucidated (Jiang et al., 2010; Lu et al., 2013; Li et al., 2017).

In the alkaline lakes studied, oxidation of the DOC reservoir would generate a maximum $\delta^{13}C_{\text{DIC}}$ deviation of -2‰ in Alberca de los Espinos, which has the lowest alkalinity. The other lakes' $\delta^{13}C_{\text{DIC}}$ values are less impacted, notably because they are largely buffered by high DIC content (Havas et al., 2023a). Bade et al. (2004) showed that modern low-alkalinity and/or low-pH lakes generally show more negative $\delta^{13}C_{\text{DIC}}$ (down to ~ -30‰), partly due to a higher responsiveness of the $\delta^{13}C_{\text{DIC}}$ to remineralization of OM and especially DOC. Compiling our data with that of Bade et al. (2004), we consistently show a clear negative trend of $\delta^{13}C_{\text{DIC}}$ with an increasing DOC : DIC ratio over a broad range of lacustrine DOC and DIC concentrations (Fig. 6). This trend also matches modern ocean values (Fig. 6). These observations are consistent with the inference that systems where DOC : DIC ≫ 1 should drive $\delta^{13}C_{\text{DIC}}$ to very negative values (Rothman et al., 2003). However, in modern environments, the biomass is largely influenced by aerobic heterotrophs, and high DOC : DIC waters usually lean toward acidic pH values (Fig. 6; Bade et al., 2004), at which carbonate precipitation is prevented. Instead, in anoxic waters, remineralization of OM through sulfate or iron reduction generates alkalinity (e.g., Tziperman et al., 2011). Hence, environmental conditions where DOC : DIC ≫ 1 might be inconsistent with large carbonate deposits unless they are associated with anaerobic remineralization. This further supports the hypothesis that negative $\delta^{13}C_{\text{Carb}}$ excursions of the Ediacaran were triggered by continental sulfate addition to the ocean (Li et al., 2017; Shields et al., 2019; Chen et al., 2022) but following the oxidation of DOC by anaerobic (e.g., sulfate reduction) rather than aerobic (e.g., by free oxygen) pathways. At the same time, additional DOC inputs (e.g., terrigenous) might be necessary to reach the required high DOC conditions allowing the Neoproterozoic CIEs. This echoes previous suggestions of “Neoproterozoic greening”, referring to a phase of biological land colonization, although evidence for this phenomenon currently remains equivocal (Lenton and Daines, 2017). While a concomitant supply of sulfate and DOC via rivers may cause a partial oxidation of

DOC at least, it would still result in a $^{13}C$-depleted source of alkalinity to the coastal environments.

The inferences from Fig. 6 also foster the scenario proposed by Tziperman et al. (2011), where the anaerobic respiration of large DOM production leads to the sequestration of newly produced C in carbonates – with very negative $\delta^{13}C$ – and thereby to the drawdown of atmospheric $pCO_2$ and the initiation of Cryogenian glaciations. We therefore suggest that the climatic feedbacks associated with the negative Neoproterozoic CIEs have been controlled by the total amount and balance between different DOC sources (autochthonous vs. allochthonous) and different oxidation pathways (e.g., via $O_2$ vs. $SO_4^{2-}$).

<figure><img src="image_7.png" /></figure>

**Figure 6.** DOC : DIC ratios, pH, and $\delta^{13}C_{\text{DIC}}$ values from different lakes compiled from Bade et al. (2004) and the four Mexican lakes from Havas et al. (2023a), as well as modern surface ocean values (from Kroopnick, 1985; Zeebe and Wolf-Gladrow, 2009; and Hansell, 2013). (a) $\delta^{13}C_{\text{DIC}}$ as a function of DOC : DIC ratio represented with a logarithmic abscissa scale and logarithmic trend line which combines the three datasets. (b) pH as a function of DOC : DIC ratio, with a logarithmic abscissa scale and logarithmic trend line which combines the three datasets.
to the analogy between modern analogues and the Precambrian oceans is the difference in the time over which DOC could have accumulated in both environments (Ridgwell and Arndt, 2015). One could expect the formation of such a large autochthonous DOC reservoir to increase the ocean inorganic C isotope composition by mass balance. However, from $\delta^{13}C_{\text{Carb}}$ data compilation (e.g., Fike et al., 2006; Saltzman and Thomas, 2012; Li et al., 2017), we see that there are no positive increases of $\delta^{13}C_{\text{Carb}}$ at the magnitude of the negative CIEs tens to hundreds of millions of years before the Neoproterozoic CIEs. Thus, even if the oxidant paradox may have found satisfactory explanations, the origin of the massive DOC reservoir required to generate these excursions still remains to be elucidated (Jiang et al., 2010; Lu et al., 2013; Li et al., 2017).

In the alkaline lakes studied, oxidation of the DOC reservoir would generate a maximum $\delta^{13}C_{\text{DIC}}$ deviation of -2‰ in Alberca de los Espinos, which has the lowest alkalinity. The other lakes' $\delta^{13}C_{\text{DIC}}$ values are less impacted, notably because they are largely buffered by high DIC content (Havas et al., 2023a). Bade et al. (2004) showed that modern low-alkalinity and/or low-pH lakes generally show more negative $\delta^{13}C_{\text{DIC}}$ (down to ~ -30‰), partly due to a higher responsiveness of the $\delta^{13}C_{\text{DIC}}$ to remineralization of OM and especially DOC. Compiling our data with that of Bade et al. (2004), we consistently show a clear negative trend of $\delta^{13}C_{\text{DIC}}$ with an increasing DOC : DIC ratio over a broad range of lacustrine DOC and DIC concentrations (Fig. 6). This trend also matches modern ocean values (Fig. 6). These observations are consistent with the inference that systems where DOC : DIC ≫ 1 should drive $\delta^{13}C_{\text{DIC}}$ to very negative values (Rothman et al., 2003). However, in modern environments, the biomass is largely influenced by aerobic heterotrophs, and high DOC : DIC waters usually lean toward acidic pH values (Fig. 6; Bade et al., 2004), at which carbonate precipitation is prevented. Instead, in anoxic waters, remineralization of OM through sulfate or iron reduction generates alkalinity (e.g., Tziperman et al., 2011). Hence, environmental conditions where DOC : DIC ≫ 1 might be inconsistent with large carbonate deposits unless they are associated with anaerobic remineralization. This further supports the hypothesis that negative $\delta^{13}C_{\text{Carb}}$ excursions of the Ediacaran were triggered by continental sulfate addition to the ocean (Li et al., 2017; Shields et al., 2019; Chen et al., 2022) but following the oxidation of DOC by anaerobic (e.g., sulfate reduction) rather than aerobic (e.g., by free oxygen) pathways. At the same time, additional DOC inputs (e.g., terrigenous) might be necessary to reach the required high DOC conditions allowing the Neoproterozoic CIEs. This echoes previous suggestions of “Neoproterozoic greening”, referring to a phase of biological land colonization, although evidence for this phenomenon currently remains equivocal (Lenton and Daines, 2017). While a concomitant supply of sulfate and DOC via rivers may cause a partial oxidation of

DOC at least, it would still result in a $^{13}C$-depleted source of alkalinity to the coastal environments.

The inferences from Fig. 6 also foster the scenario proposed by Tziperman et al. (2011), where the anaerobic respiration of large DOM production leads to the sequestration of newly produced C in carbonates – with very negative $\delta^{13}C$ – and thereby to the drawdown of atmospheric $pCO_2$ and the initiation of Cryogenian glaciations. We therefore suggest that the climatic feedbacks associated with the negative Neoproterozoic CIEs have been controlled by the total amount and balance between different DOC sources (autochthonous vs. allochthonous) and different oxidation pathways (e.g., via $O_2$ vs. $SO_4^{2-}$).

<figure><img src="image_9.png" /></figure>

**Figure 6.** DOC : DIC ratios, pH, and $\delta^{13}C_{\text{DIC}}$ values from different lakes compiled from Bade et al. (2004) and the four Mexican lakes from Havas et al. (2023a), as well as modern surface ocean values (from Kroopnick, 1985; Zeebe and Wolf-Gladrow, 2009; and Hansell, 2013). (a) $\delta^{13}C_{\text{DIC}}$ as a function of DOC : DIC ratio represented with a logarithmic abscissa scale and logarithmic trend line which combines the three datasets. (b) pH as a function of DOC : DIC ratio, with a logarithmic abscissa scale and logarithmic trend line which combines the three datasets.
In summary, Neoproterozoic carbonate carbon isotope excursions likely require DOC and DIC pools to be spatially decoupled (e.g., through terrestrial DOM inputs), which suggests that DOC was not necessarily larger than DIC in the entire ocean. The analogues studied here further support that the Neoproterozoic CIEs recorded in carbonates should have occurred following DOC oxidation through anaerobic rather than aerobic pathways.

## 6 Conclusions and summary

Based on its concentration and isotopic signatures, we characterized the nature and role of the DOC reservoir within the C cycle of four stratified alkaline crater lakes in comparison with previously described DIC and POC data. Despite similar contexts, the DOC reservoirs of the four lakes show considerable variability, driven by environmental and ecological differences, as summarized below.

The DOC is the largest OC reservoir in the water column of the studied lakes (> 90%). Its concentration and isotopic composition provide novel information about the C cycle of these stratified water bodies. In each of the four lakes, diverse photosynthetic planktonic communities release greater or smaller amounts of DOC, depending strongly on environmental factors such as nutrient and DIC availability, and transfer most of the inorganic C to DOC rather than POC.

This process is marked by very heavy and distinct isotopic signatures of DOC compared with POC. They reflect different metabolism and C fixation pathways and/or the activity of a DIC-CM coupled with an overflow mechanism (i.e., DOM exudation), which could be active for both oxygenic and anoxygenic phototrophs and for which we propose a novel isotopic model of cell carbon cycling, integrating DOC molecules.

The DOC reservoir in one of the lakes was not characterized by this release process but rather by partial degradation and accumulation in anoxic waters, associated with more negative isotopic signatures.

Our results bring further constraints to the environmental conditions under which autochthonous DOM can accumulate in anoxic water bodies, providing boundary conditions to the large DOC reservoir scenarios. This study of modern redox-stratified analogues supports the idea that a large oceanic DOC reservoir may have generated the record of successive C isotope excursions during the Eocene. Our study suggests, however, that the Neoproterozoic large-DOC hypothesis and its record in carbonates as negative CIEs would only have been possible if external DOC sources largely contributed and if DOC oxidation occurred via anaerobic pathways.

**Data availability.** Data are publicly accessible at https://doi.org/10.26022/IEDA/112943 (Havas et al., 2023b).

**Author contributions.** RH and CT designed the study in a project directed by PLG, KB, and CT. CT, MI, DJ, DM, RT, PLG, and KB collected the samples in the field. RH carried out the measurements for C data, DJ carried out the physicochemical parameter probe measurements, and EM provided data for trace and major elements. RH and CT analyzed the data. RH wrote the paper with important contributions from all the co-authors.

**Competing interests.** The contact author has declared that none of the authors has any competing interests.

**Disclaimer.** Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

**Acknowledgements.** The authors thank Anne-Lise Santoni, Elodie Cognard, Théophile Cocquerez, and the GISMO platform (Biogéosciences, University Bourgogne Franche-Comté, UMR CNRS 6282, France). We thank Céline Liorzou and Bleuenn Guéguen for the analyses at the Pôle Spectrométrie Océan (Laboratoire Géo-Océan, Brest, France) and Laure Cordier for the ion chromatography analyses at IPGP (France). We thank Nelly Assayag and Pierre Cadeau for their help on the AP 2003 at IPGP. We warmly thank Carmela Chateau-Smith for improving the syntax and clarity of the paper.

**Financial support.** This research has been supported by the Agence Nationale de la Recherche (grant no. ANR-18-CE02-0013-02).

**Review statement.** This paper was edited by Tina Treude and reviewed by three anonymous referees.

## References

Alcántara-Hernández, R. J., Macek, M., Torres-Huesca, J., Arellano-Posadas, J., and Valdespino-Castillo, P. M.: Bacterio-plankton, in: Lake Alchichica Limnology: The Uniqueness of a Tropical Maar Lake, edited by: Alcocer, J., Springer International Publishing, Cham, 183–196, https://doi.org/10.1007/978-3-030-79096-7_11, 2022.

Alcocer, J., Guzmán-Arias, A., Oseguera, L. A., and Escobar, E.: Dinámica del carbono orgánico disuelto y particulado asociados al florecimiento de Nodularia spumigena en un lago tropical oligotrófico, in: n Estado Actual del Conocimiento del Ciclo del Carbono y sus Interacciones en México: Síntesis a 2014, edited by: Paz, F. and Wong, J., Programma Mexicano del Carbono, 404–410, 2014a.

Alcocer, J., Ruiz-Fernández, A. C., Escobar, E., Pérez-Bernal, L. H., Oseguera, L. A., and Ardiles-Gloria, V.: Deposition, burial and sequestration of carbon in an oligotrophic, tropical lake, J. Limnol., 73, 223–235, https://doi.org/10.4081/jlimnol.2014.783, 2014b.
In summary, Neoproterozoic carbonate carbon isotope excursions likely require DOC and DIC pools to be spatially decoupled (e.g., through terrestrial DOM inputs), which suggests that DOC was not necessarily larger than DIC in the entire ocean. The analogues studied here further support that the Neoproterozoic CIEs recorded in carbonates should have occurred following DOC oxidation through anaerobic rather than aerobic pathways.

## 6 Conclusions and summary

Based on its concentration and isotopic signatures, we characterized the nature and role of the DOC reservoir within the C cycle of four stratified alkaline crater lakes in comparison with previously described DIC and POC data. Despite similar contexts, the DOC reservoirs of the four lakes show considerable variability, driven by environmental and ecological differences, as summarized below.

The DOC is the largest OC reservoir in the water column of the studied lakes (> 90%). Its concentration and isotopic composition provide novel information about the C cycle of these stratified water bodies. In each of the four lakes, diverse photosynthetic planktonic communities release greater or smaller amounts of DOC, depending strongly on environmental factors such as nutrient and DIC availability, and transfer most of the inorganic C to DOC rather than POC.

This process is marked by very heavy and distinct isotopic signatures of DOC compared with POC. They reflect different metabolism and C fixation pathways and/or the activity of a DIC-CM coupled with an overflow mechanism (i.e., DOM exudation), which could be active for both oxygenic and anoxygenic phototrophs and for which we propose a novel isotopic model of cell carbon cycling, integrating DOC molecules.

The DOC reservoir in one of the lakes was not characterized by this release process but rather by partial degradation and accumulation in anoxic waters, associated with more negative isotopic signatures.

Our results bring further constraints to the environmental conditions under which autochthonous DOM can accumulate in anoxic water bodies, providing boundary conditions to the large DOC reservoir scenarios. This study of modern redox-stratified analogues supports the idea that a large oceanic DOC reservoir may have generated the record of successive C isotope excursions during the Eocene. Our study suggests, however, that the Neoproterozoic large-DOC hypothesis and its record in carbonates as negative CIEs would only have been possible if external DOC sources largely contributed and if DOC oxidation occurred via anaerobic pathways.

**Data availability.** Data are publicly accessible at https://doi.org/10.26022/IEDA/112943 (Havas et al., 2023b).

**Author contributions.** RH and CT designed the study in a project directed by PLG, KB, and CT. CT, MI, DJ, DM, RT, PLG, and KB collected the samples in the field. RH carried out the measurements for C data, DJ carried out the physicochemical parameter probe measurements, and EM provided data for trace and major elements. RH and CT analyzed the data. RH wrote the paper with important contributions from all the co-authors.

**Competing interests.** The contact author has declared that none of the authors has any competing interests.

**Disclaimer.** Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

**Acknowledgements.** The authors thank Anne-Lise Santoni, Elodie Cognard, Théophile Cocquerez, and the GISMO platform (Biogéosciences, University Bourgogne Franche-Comté, UMR CNRS 6282, France). We thank Céline Liorzou and Bleuenn Guéguen for the analyses at the Pôle Spectrométrie Océan (Laboratoire Géo-Océan, Brest, France) and Laure Cordier for the ion chromatography analyses at IPGP (France). We thank Nelly Assayag and Pierre Cadeau for their help on the AP 2003 at IPGP. We warmly thank Carmela Chateau-Smith for improving the syntax and clarity of the paper.

**Financial support.** This research has been supported by the Agence Nationale de la Recherche (grant no. ANR-18-CE02-0013-02).

**Review statement.** This paper was edited by Tina Treude and reviewed by three anonymous referees.

## References

Alcántara-Hernández, R. J., Macek, M., Torres-Huesca, J., Arellano-Posadas, J., and Valdespino-Castillo, P. M.: Bacterio-plankton, in: Lake Alchichica Limnology: The Uniqueness of a Tropical Maar Lake, edited by: Alcocer, J., Springer International Publishing, Cham, 183–196, https://doi.org/10.1007/978-3-030-79096-7_11, 2022.

Alcocer, J., Guzmán-Arias, A., Oseguera, L. A., and Escobar, E.: Dinámica del carbono orgánico disuelto y particulado asociados al florecimiento de Nodularia spumigena en un lago tropical oligotrófico, in: n Estado Actual del Conocimiento del Ciclo del Carbono y sus Interacciones en México: Síntesis a 2014, edited by: Paz, F. and Wong, J., Programma Mexicano del Carbono, 404–410, 2014a.

Alcocer, J., Ruiz-Fernández, A. C., Escobar, E., Pérez-Bernal, L. H., Oseguera, L. A., and Ardiles-Gloria, V.: Deposition, burial and sequestration of carbon in an oligotrophic, tropical lake, J. Limnol., 73, 223–235, https://doi.org/10.4081/jlimnol.2014.783, 2014b.
Alcocer, J., Merino-Ibarra, M., Ramírez-Zierold, J. A., Oseguera, L. A., Cortés-Guzmán, D., Castillo-Sandoval, F. S., Guzmán-Arias, A. P., and Pérez-Ramírez, M. G.: Physicochemical Characteristics, in: Lake Alchichica Limnology: The Uniqueness of a Tropical Maar Lake, 101–142, Cham, Springer International Publishing, https://doi.org/10.1007/978-3-030-79096-7_7, 2022.

Anderson, N. J. and Stedmon, C. A.: The effect of evapocentration on dissolved organic carbon concentration and quality in lakes of SW Greenland, Freshwater Biol., 52, 280–289, https://doi.org/10.1111/j.1365-2427.2006.01688.x, 2007.

Armienta, M. A., Vilaclara, G., De la Cruz-Reyna, S., Ramos, S., Ceniceros, N., Cruz, O., Aguayo, A., and Arcega-Cabrera, F.: Water chemistry of lakes related to active and inactive Mexican volcanoes, J. Volcanol. Geoth. Res., 178, 249–258, https://doi.org/10.1016/j.jvolgeores.2008.06.019, 2008.

Bade, D. L., Carpenter, S. R., Cole, J. J., Hanson, P. C., and Hesslein, R. H.: Controls of δ¹³C-DIC in lakes: Geochemistry, lake metabolism, and morphometry, Limnol. Oceanogr., 49, 1160–1172, https://doi.org/10.4319/lo.2004.49.4.1160, 2004.

Bade, D. L., Carpenter, S. R., Cole, J. J., Pace, M. L., Kritzberg, E., Van de Bogert, M. C., Cory, R. M., and McKnight, D. M.: Sources and fates of dissolved organic carbon in lakes as determined by whole-lake carbon isotope additions, Biogeochemistry, 84, 115–129, https://doi.org/10.1007/s10533-006-9013-y, 2007.

Badger, M. R., Andrews, T. J., Whitney, S. M., Ludwig, M., Yellowlees, D. C., Leggat, W., and Price, G. D.: The diversity and coevolution of Rubisco, plastids, pyrenoids, and chloroplast-based CO₂-concentrating mechanisms in algae, Can. J. Botany, 76, 1052–1071, https://doi.org/10.1139/b98-074, 1998.

Baines, S. B. and Pace, M. L.: The production of dissolved organic matter by phytoplankton and its importance to bacteria: Patterns across marine and freshwater systems, Limnol. Oceanogr., 36, 1078–1090, https://doi.org/10.4319/lo.1991.36.6.1078, 1991.

Barber, A., Sirois, M., Chaillou, G., and Gélinas, Y.: Stable isotope analysis of dissolved organic carbon in Canada's eastern coastal waters: Stable isotope analysis of DOC, Limnol. Oceanogr., 62, S71–S84, https://doi.org/10.1002/lno.10666, 2017.

Bateson, M. M. and Ward, D. M.: Photoexcretion and Fate of Glycolate in a Hot Spring Cyanobacterial Mat, Appl. Environ. Microb., 54, 1738–1743, https://doi.org/10.1128/aem.54.7.1738-1743.1988, 1988.

Beardall, J., Griffiths, H., and Raven, J. A.: Carbon Isotope Discrimination and the CO₂ Accumulating Mechanism in Chlorella emersonii, J. Exp. Bot., 33, 729–737, https://doi.org/10.1093/jxb/33.4.729, 1982.

Beaupré, S. R.: The Carbon Isotopic Composition of Marine DOC, in: Biogeochemistry of Marine Dissolved Organic Matter, edited by: Hansell, D. A. and Carlson, C. A., Elsevier, 335–368, https://doi.org/10.1016/B978-0-12-405940-5.00006-6, 2015.

Benzerara, K., Skouri-Panet, F., Li, J., Férard, C., Gugger, M., Laurent, T., Couradeau, E., Ragon, M., Cosmidis, J., Menguy, N., Margaret-Oliver, I., Tavera, R., López-García, P., and Moreira, D.: Intracellular Ca-carbonate biomineralization is widespread in cyanobacteria, P. Natl. Acad. Sci. USA, 111, 10933–10938, https://doi.org/10.1073/pnas.1403510111, 2014.

Bertilsson, S. and Jones, J. B.: Supply of Dissolved Organic Matter to Aquatic Ecosystems: Autochthonous Sources, in: Aquatic Ecosystems, Aquatic Ecology, edited by: Findlay, S. E. G. and Sinsabaugh, R. L., Academic Press, Burlington, 3–24, https://doi.org/10.1016/B978-012256371-3/50002-0, 2003.

Blair, N., Leu, A., Muñoz, E., Olsen, J., Kwong, E., and Des Marais, D.: Carbon isotopic fractionation in heterotrophic microbial metabolism, Appl. Environ. Microb., 50, 996–1001, https://doi.org/10.1128/aem.50.4.996-1001.1985, 1985.

Brailsford, F. L.: Dissolved organic matter (DOM) in freshwater ecosystems, Bangor University, UK, https://research.bangor.ac.uk/portal/en/theses/dissolved-organic-matter-dom-in-freshwater-ecosystems(80ce7e34-f41a-43fb-b943-f24296419832).html (last access: 17 June 2023), 2019.

Burns, B. D. and Beardall, J.: Utilization of inorganic carbon by marine microalgae, J. Exp. Mar. Biol. Ecol., 107, 75–86, https://doi.org/10.1016/0022-0981(87)90125-0, 1987.

Cadeau, P., Jézéquel, D., Leboulanger, C., Fouilland, E., Le Floc'h, E., Chaduteau, C., Milesi, V., Guélard, J., Sarazin, G., Katz, A., d'Amore, S., Bernard, C., and Ader, M.: Carbon isotope evidence for large methane emissions to the Proterozoic atmosphere, Sci. Rep., 10, 18186, https://doi.org/10.1038/s41598-020-75100-x, 2020.

Cañadas, F., Papineau, D., Leng, M. J., and Li, C.: Extensive primary production promoted the recovery of the Ediacaran Shuram excursion, Nat. Commun., 13, 148, https://doi.org/10.1038/s41467-021-27812-5, 2022.

Carlson, C. A. and Hansell, D. A.: DOM Sources, Sinks, Reactivity, and Budgets, in: Biogeochemistry of Marine Dissolved Organic Matter, edited by: Hansell, D. A. and Carlson, C. A., Elsevier, 65–126, https://doi.org/10.1016/B978-0-12-405940-5.00003-0, 2015.

Carrasco-Núñez, G., Ort, M. H., and Romero, C.: Evolution and hydrological conditions of a maar volcano (Atexcac crater, Eastern Mexico), J. Volcanol. Geoth. Res., 159, 179–197, https://doi.org/10.1016/j.jvolgeores.2006.07.001, 2007.

Cawley, K. M., Ding, Y., Fourqurean, J., and Jaffé, R.: Characterising the sources and fate of dissolved organic matter in Shark Bay, Australia: a preliminary study using optical properties and stable carbon isotopes, Mar. Freshwater Res., 63, 1098, https://doi.org/10.1071/MF12028, 2012.

Chako Tchamabé, B., Carrasco-Núñez, G., Miggins, D. P., and Németh, K.: Late Pleistocene to Holocene activity of Alchichica maar volcano, eastern Trans-Mexican Volcanic Belt, J. South Am. Earth Sci., 97, 102404, https://doi.org/10.1016/j.jsames.2019.102404, 2020.

Chen, B., Hu, C., Mills, B. J. W., He, T., Andersen, M. B., Chen, X., Liu, P., Lu, M., Newton, R. J., Poulton, S. W., Shields, G. A., and Zhu, M.: A short-lived oxidation event during the early Ediacaran and delayed oxygenation of the Proterozoic ocean, Earth Planet. Sc. Lett., 577, 117274, https://doi.org/10.1016/j.epsl.2021.117274, 2022.

Chomicki, K.: The use of stable carbon and oxygen isotopes to examine the fate of dissolved organic matter in two small, oligotrophic Canadian Shield lakes, University of Waterloo, Canada, https://www.researchgate.net/publication/268368579 (last access: 17 June 2023), 2009.

Close, H. G. and Henderson, L. C.: Open-Ocean Minima in δ¹³C Values of Particulate Organic Carbon in the Lower Euphotic Zone, Front. Mar. Sci., 7, 540165, https://doi.org/10.3389/fmars.2020.540165, 2020.
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Anderson, N. J. and Stedmon, C. A.: The effect of evapocentration on dissolved organic carbon concentration and quality in lakes of SW Greenland, Freshwater Biol., 52, 280–289, https://doi.org/10.1111/j.1365-2427.2006.01688.x, 2007.

Armienta, M. A., Vilaclara, G., De la Cruz-Reyna, S., Ramos, S., Ceniceros, N., Cruz, O., Aguayo, A., and Arcega-Cabrera, F.: Water chemistry of lakes related to active and inactive Mexican volcanoes, J. Volcanol. Geoth. Res., 178, 249–258, https://doi.org/10.1016/j.jvolgeores.2008.06.019, 2008.

Bade, D. L., Carpenter, S. R., Cole, J. J., Hanson, P. C., and Hesslein, R. H.: Controls of δ¹³C-DIC in lakes: Geochemistry, lake metabolism, and morphometry, Limnol. Oceanogr., 49, 1160–1172, https://doi.org/10.4319/lo.2004.49.4.1160, 2004.

Bade, D. L., Carpenter, S. R., Cole, J. J., Pace, M. L., Kritzberg, E., Van de Bogert, M. C., Cory, R. M., and McKnight, D. M.: Sources and fates of dissolved organic carbon in lakes as determined by whole-lake carbon isotope additions, Biogeochemistry, 84, 115–129, https://doi.org/10.1007/s10533-006-9013-y, 2007.

Badger, M. R., Andrews, T. J., Whitney, S. M., Ludwig, M., Yellowlees, D. C., Leggat, W., and Price, G. D.: The diversity and coevolution of Rubisco, plastids, pyrenoids, and chloroplast-based CO₂-concentrating mechanisms in algae, Can. J. Botany, 76, 1052–1071, https://doi.org/10.1139/b98-074, 1998.

Baines, S. B. and Pace, M. L.: The production of dissolved organic matter by phytoplankton and its importance to bacteria: Patterns across marine and freshwater systems, Limnol. Oceanogr., 36, 1078–1090, https://doi.org/10.4319/lo.1991.36.6.1078, 1991.

Barber, A., Sirois, M., Chaillou, G., and Gélinas, Y.: Stable isotope analysis of dissolved organic carbon in Canada's eastern coastal waters: Stable isotope analysis of DOC, Limnol. Oceanogr., 62, S71–S84, https://doi.org/10.1002/lno.10666, 2017.

Bateson, M. M. and Ward, D. M.: Photoexcretion and Fate of Glycolate in a Hot Spring Cyanobacterial Mat, Appl. Environ. Microb., 54, 1738–1743, https://doi.org/10.1128/aem.54.7.1738-1743.1988, 1988.

Beardall, J., Griffiths, H., and Raven, J. A.: Carbon Isotope Discrimination and the CO₂ Accumulating Mechanism in Chlorella emersonii, J. Exp. Bot., 33, 729–737, https://doi.org/10.1093/jxb/33.4.729, 1982.

Beaupré, S. R.: The Carbon Isotopic Composition of Marine DOC, in: Biogeochemistry of Marine Dissolved Organic Matter, edited by: Hansell, D. A. and Carlson, C. A., Elsevier, 335–368, https://doi.org/10.1016/B978-0-12-405940-5.00006-6, 2015.

Benzerara, K., Skouri-Panet, F., Li, J., Férard, C., Gugger, M., Laurent, T., Couradeau, E., Ragon, M., Cosmidis, J., Menguy, N., Margaret-Oliver, I., Tavera, R., López-García, P., and Moreira, D.: Intracellular Ca-carbonate biomineralization is widespread in cyanobacteria, P. Natl. Acad. Sci. USA, 111, 10933–10938, https://doi.org/10.1073/pnas.1403510111, 2014.

Bertilsson, S. and Jones, J. B.: Supply of Dissolved Organic Matter to Aquatic Ecosystems: Autochthonous Sources, in: Aquatic Ecosystems, Aquatic Ecology, edited by: Findlay, S. E. G. and Sinsabaugh, R. L., Academic Press, Burlington, 3–24, https://doi.org/10.1016/B978-012256371-3/50002-0, 2003.

Blair, N., Leu, A., Muñoz, E., Olsen, J., Kwong, E., and Des Marais, D.: Carbon isotopic fractionation in heterotrophic microbial metabolism, Appl. Environ. Microb., 50, 996–1001, https://doi.org/10.1128/aem.50.4.996-1001.1985, 1985.

Brailsford, F. L.: Dissolved organic matter (DOM) in freshwater ecosystems, Bangor University, UK, https://research.bangor.ac.uk/portal/en/theses/dissolved-organic-matter-dom-in-freshwater-ecosystems(80ce7e34-f41a-43fb-b943-f24296419832).html (last access: 17 June 2023), 2019.

Burns, B. D. and Beardall, J.: Utilization of inorganic carbon by marine microalgae, J. Exp. Mar. Biol. Ecol., 107, 75–86, https://doi.org/10.1016/0022-0981(87)90125-0, 1987.

Cadeau, P., Jézéquel, D., Leboulanger, C., Fouilland, E., Le Floc'h, E., Chaduteau, C., Milesi, V., Guélard, J., Sarazin, G., Katz, A., d'Amore, S., Bernard, C., and Ader, M.: Carbon isotope evidence for large methane emissions to the Proterozoic atmosphere, Sci. Rep., 10, 18186, https://doi.org/10.1038/s41598-020-75100-x, 2020.

Cañadas, F., Papineau, D., Leng, M. J., and Li, C.: Extensive primary production promoted the recovery of the Ediacaran Shuram excursion, Nat. Commun., 13, 148, https://doi.org/10.1038/s41467-021-27812-5, 2022.

Carlson, C. A. and Hansell, D. A.: DOM Sources, Sinks, Reactivity, and Budgets, in: Biogeochemistry of Marine Dissolved Organic Matter, edited by: Hansell, D. A. and Carlson, C. A., Elsevier, 65–126, https://doi.org/10.1016/B978-0-12-405940-5.00003-0, 2015.

Carrasco-Núñez, G., Ort, M. H., and Romero, C.: Evolution and hydrological conditions of a maar volcano (Atexcac crater, Eastern Mexico), J. Volcanol. Geoth. Res., 159, 179–197, https://doi.org/10.1016/j.jvolgeores.2006.07.001, 2007.

Cawley, K. M., Ding, Y., Fourqurean, J., and Jaffé, R.: Characterising the sources and fate of dissolved organic matter in Shark Bay, Australia: a preliminary study using optical properties and stable carbon isotopes, Mar. Freshwater Res., 63, 1098, https://doi.org/10.1071/MF12028, 2012.

Chako Tchamabé, B., Carrasco-Núñez, G., Miggins, D. P., and Németh, K.: Late Pleistocene to Holocene activity of Alchichica maar volcano, eastern Trans-Mexican Volcanic Belt, J. South Am. Earth Sci., 97, 102404, https://doi.org/10.1016/j.jsames.2019.102404, 2020.

Chen, B., Hu, C., Mills, B. J. W., He, T., Andersen, M. B., Chen, X., Liu, P., Lu, M., Newton, R. J., Poulton, S. W., Shields, G. A., and Zhu, M.: A short-lived oxidation event during the early Ediacaran and delayed oxygenation of the Proterozoic ocean, Earth Planet. Sc. Lett., 577, 117274, https://doi.org/10.1016/j.epsl.2021.117274, 2022.

Chomicki, K.: The use of stable carbon and oxygen isotopes to examine the fate of dissolved organic matter in two small, oligotrophic Canadian Shield lakes, University of Waterloo, Canada, https://www.researchgate.net/publication/268368579 (last access: 17 June 2023), 2009.

Close, H. G. and Henderson, L. C.: Open-Ocean Minima in δ¹³C Values of Particulate Organic Carbon in the Lower Euphotic Zone, Front. Mar. Sci., 7, 540165, https://doi.org/10.3389/fmars.2020.540165, 2020.
Couradeau, E., Benzerara, K., Gérard, E., Moreira, D., Bernard, S., Brown, G. E., and López-García, P.: An Early-Branching Microbialite Cyanobacterium Forms Intracellular Carbonates, Science, 336, 459–462, https://doi.org/10.1126/science.1216171, 2012.

Crowe, S. A., Katsev, S., Leslie, K., Sturm, A., Magen, C., Nomosatryo, S., Pack, M. A., Kessler, J. D., Reeburgh, W. S., Roberts, J. A., González, L., Douglas Haffner, G., Mucci, A., Sundby, B., and Fowle, D. A.: The methane cycle in ferruginous Lake Matano: Methane cycle in ferruginous Lake Matano, Geobiology, 9, 61–78, https://doi.org/10.1111/j.1472-4669.2010.00257.x, 2011.

Descolas-Gros, C. and Fontungne, M.: Stable carbon isotope fractionation by marine phytoplankton during photosynthesis, Plant Cell Environ., 13, 207–218, https://doi.org/10.1111/j.1365-3040.1990.tb01305.x, 1990.

Dittmar, T.: Reasons Behind the Long-Term Stability of Dissolved Organic Matter, in: Biogeochemistry of Marine Dissolved Organic Matter, Elsevier, 369–388, https://doi.org/10.1016/B978-0-12-405940-5.00007-8, 2015.

Ducklow, H. W., Hansell, D. A., and Morgan, J. A.: Dissolved organic carbon and nitrogen in the Western Black Sea, Mar. Chem., 105, 140–150, https://doi.org/10.1016/j.marchem.2007.01.015, 2007.

Erez, J., Bouevitch, A., and Kaplan, A.: Carbon isotope fractionation by photosynthetic aquatic microorganisms: experiments with *Synechococcus* PCC7942, and a simple carbon flux model, Can. J. Bot, 76, 1109–1118, https://doi.org/10.1139/b98-067, 1998.

Fakhraee, M., Tarhan, L. G., Planavsky, N. J., and Reinhard, C. T.: A largely invariant marine dissolved organic carbon reservoir across Earth’s history, P. Natl. Acad. Sci. USA, 118, e2103511118, https://doi.org/10.1073/pnas.2103511118, 2021.

Ferrari, L., Orozco-Esquivel, T., Manea, V., and Manea, M.: The dynamic history of the Trans-Mexican Volcanic Belt and the Mexico subduction zone, Tectonophysics, 522–523, 122–149, https://doi.org/10.1016/j.tecto.2011.09.018, 2012.

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Fogel, M. L. and Cifuentes, L. A.: Isotope Fractionation during Primary Production, in: Organic Geochemistry, Topics in Geobiology, edited by: Engel, M. H. and Macko, S. A., Springer US, Boston, MA, 73–98, https://doi.org/10.1007/978-1-4615-2890-6_3, 1993.

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Crowe, S. A., Katsev, S., Leslie, K., Sturm, A., Magen, C., Nomosatryo, S., Pack, M. A., Kessler, J. D., Reeburgh, W. S., Roberts, J. A., González, L., Douglas Haffner, G., Mucci, A., Sundby, B., and Fowle, D. A.: The methane cycle in ferruginous Lake Matano: Methane cycle in ferruginous Lake Matano, Geobiology, 9, 61–78, https://doi.org/10.1111/j.1472-4669.2010.00257.x, 2011.

Descolas-Gros, C. and Fontungne, M.: Stable carbon isotope fractionation by marine phytoplankton during photosynthesis, Plant Cell Environ., 13, 207–218, https://doi.org/10.1111/j.1365-3040.1990.tb01305.x, 1990.

Dittmar, T.: Reasons Behind the Long-Term Stability of Dissolved Organic Matter, in: Biogeochemistry of Marine Dissolved Organic Matter, Elsevier, 369–388, https://doi.org/10.1016/B978-0-12-405940-5.00007-8, 2015.

Ducklow, H. W., Hansell, D. A., and Morgan, J. A.: Dissolved organic carbon and nitrogen in the Western Black Sea, Mar. Chem., 105, 140–150, https://doi.org/10.1016/j.marchem.2007.01.015, 2007.

Erez, J., Bouevitch, A., and Kaplan, A.: Carbon isotope fractionation by photosynthetic aquatic microorganisms: experiments with *Synechococcus* PCC7942, and a simple carbon flux model, Can. J. Bot, 76, 1109–1118, https://doi.org/10.1139/b98-067, 1998.

Fakhraee, M., Tarhan, L. G., Planavsky, N. J., and Reinhard, C. T.: A largely invariant marine dissolved organic carbon reservoir across Earth’s history, P. Natl. Acad. Sci. USA, 118, e2103511118, https://doi.org/10.1073/pnas.2103511118, 2021.

Ferrari, L., Orozco-Esquivel, T., Manea, V., and Manea, M.: The dynamic history of the Trans-Mexican Volcanic Belt and the Mexico subduction zone, Tectonophysics, 522–523, 122–149, https://doi.org/10.1016/j.tecto.2011.09.018, 2012.

Fike, D. A., Grotzinger, J. P., Pratt, L. M., and Summons, R. E.: Oxidation of the Ediacaran Ocean, Nature, 444, 744–747, https://doi.org/10.1038/nature05345, 2006.

Fogel, M. L. and Cifuentes, L. A.: Isotope Fractionation during Primary Production, in: Organic Geochemistry, Topics in Geobiology, edited by: Engel, M. H. and Macko, S. A., Springer US, Boston, MA, 73–98, https://doi.org/10.1007/978-1-4615-2890-6_3, 1993.

Fry, B.: ¹³C/¹²C fractionation by marine diatoms, Mar. Ecol.-Prog. Ser., 134, 283–294, https://doi.org/10.3354/meps134283, 1996.

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