Introduction

There is substantive evidence that CO2 fluxes due to anthropogenic emissions do not coincide with those observed in the atmosphere, indicating in some early studies (Tans et al. 1990; Houghton et al. 1998) the existence of a significant missing terrestrial sink for this greenhouse gas. The region located between the soil surface and the groundwater table (unsaturated zone), which is mainly referred to as the vadose zone of karst terrains, is still an unaccounted terrestrial ecosystem in terms of CO2 balances. Karst terrains form 15–20 % of the ice-free land surface (Engel 2011) and are an environment with a high capacity for gas exchange with the atmosphere and known mechanisms for sequestration of carbon as CO2 (via carbonate dissolution and precipitation). While aspects of these processes are known, much detail still needs to be elucidated, such as the ventilation drivers and pathways, before carbon fluxes can be estimated. Therefore, the migration, temporal storage or consumption of CO2 into subsurface atmospheres of the vadose zone have been traditionally neglected or underestimated in studies on net carbon balance in terrestrial ecosystems (Serrano-Ortiz et al. 2010). Previous models of carbon dioxide on a global scale assume that this sink is compensated by the source of oceanic CO2 (Berner 1999), but some initial studies have highlighted the potential contribution of carbonate dissolution processes to this unknown sink (Liu and Zhao 2000; Gombert 2002; Liu et al. 2008).

The vadose zone of karst terrains may contain large amounts of gases occupying the air-filled cracks and voids of soil, bedrock or unconsolidated sediment (Benavente et al. 2010; Bourges et al. 2012). There is an abundant literature on the CO2 efflux from soil to the atmosphere (Vargas et al. 2011, and references therein), but little is known about the downward flux into the subsoil and subsurface. However, it has been demonstrated that the shallow vadose environments below the soil show significant seasonal and even daily variations in CO2 concentration, which involves the exchange of large amounts of CO2(g) with the lower troposphere (Cuezva et al. 2011). Recent assessments of subterranean cavities have indicated that they act as sinks/reservoirs or net emitters/sources of CO2 depending on the atmospheric conditions (Fernandez-Cortes et al. 2011; Garcia-Anton et al. 2014). The subsurface air may therefore play a key role as a sink or emitter of atmospheric carbon, but the pathways, mechanisms and fluxes of carbon in various gaseous forms (CO2 or CH4) among the atmosphere, soil and subsurface reservoirs are not yet well characterized.

Furthermore, the ongoing interest in belowground CO2 capture and storage as one potential mitigation strategy to reduce anthropogenic CO2 atmospheric emissions has underlined the need for more knowledge on the geologic storage capacity (Post et al. 2012; Nickerson and Risk 2013). Assessments are needed to ensure that there is no CO2 leaking from storage formations and seeping out of the subterranean environment (Cohen et al. 2013). In this regard, a complete understanding of the medium- and short-term gaseous CO2 transfer processes through the subterranean environment is essential.

Here, we contribute new data and an understanding of CO2(g) variations at a small scale in a detailed field study of a shallow atmosphere belonging to a long subterranean system (Ojo Guareña karst, Spain). The overall aim of this study was to understand the specific constraints imposed by subterranean atmospheres (caves) located in the vadose zone of karst terrains for incorporating CO2 dynamics into carbon-cycle models. To accomplish this objective, this study combined a multi-parameter monitoring of the cave–soil–atmosphere (main climatic data and gas composition) with geochemical tracing using δ13C-CO2 to assess the climate-driven fluctuations in CO2(g) into the subsurface and its spatiotemporal pattern of exchange with the soil and atmosphere.

Study site

The study site is the Karst system of Ojo Guareña in the northern Spanish province of Burgos. In this geographic area, the climate is temperate without a dry season and with a temperate summer; the annual precipitation is approximately 640 mm, and the mean annual temperature is 11.9 °C (Fernandez-Cortes et al. 2015). Two main geomorphological units can be distinguished in this karst area in the Sotoscueva basin, containing a hydrological network at the surface and an elevated sinkhole plain with a landform on “cuesta” scarps related to a syncline with a sequence of Cretaceous limestones and marls (Fig. 1a).

Fig. 1
figure 1

Panoramic view (a) and relief map (b) of the karst system of Ojo Guareña. The location of the cave galleries is noted relative to the surface and the main geomorphological units. The photo from the upper panel was provided by the Environmental Service of Burgos belonging to the Regional Government of Castilla y León

In the opposite direction of the hydrological network (the Guareña and Trema rivers), in relation to the elevated “cuesta” scarps, is the geomorphological factor that controls the genesis of the subterranean system. In the boundary between both geomorphological units (Sotoscueva basin and “cuesta” scarps), there is a karstic canyon (Trema river) and also a sinking stream (Ojo Guareña). The latter is the main water input of runoff water that contributes to widening and developing the network of galleries. The subterranean water, and consequently the direction of the cave galleries, runs off to the catchment of the Trema River where several springs are located (Fig. 1b).

The Ojo Guareña cave system, one of the longest cave systems in Europe with over 100 km of development, is distributed over several overlapping levels composed of passages up to 10 m high and 20 m wide with three main entrances and several other minor cavities (Grupo Espeleologico Edelweiss 1986; Puch 1988; Camacho et al. 2006). In the sinkhole plain, we can find several entrances to the subterranean karst system, such as the Palomera doline and Dolencias sinkhole (Fig. 2a). Figure 2b shows a plan view of the study area. The present study was conducted in a sector some 3 km in length with three subsectors for continuous monitoring, Edelweiss, Gours Hojas and Museo Cera, and a network of 16 air-sampling points (Fig. 2). This sector represents only 2 % of the entire subterranean system.

Fig. 2
figure 2

a Detailed cross-sections of the cave galleries in relation to surface geomorphology and the main entrances to the subterranean system (solid black line represents the studied galleries; the ends of these galleries continue with the rest of the subterranean system, which is not drawn; the dotted lines show the locations of other cave levels). Cross-sections modified from Grupo Espeleológico Edelweiss (1986). b Map of the cave sectors where spot air sampling and continuous monitoring were conducted

The incoming flow of the Ojo Guareña sinking stream plays a key role in the environmental conditions of the studied galleries of the cave during the flooding season primarily after heavy and continuous rainfall that provokes the inundation of these galleries above the deeper levels where the Ojo Guareña sinking stream enters the cave. The inflow rate of water to the cave via the Ojo Guareña sinking stream ranges from 0.1 m3 s−1 during the dry season to 0.65 m3 s−1 in winter and spring (Grupo Espeleologico Edelweiss Grupo Espeleológico Edelweiss 1986). During extremely rainy events, the surface runoff waters are channeled into the Villamartin creek that ultimately runs into the cave through the waterfall located in the Dolencias sinkhole. Unfortunately, there are no data on the water flow entering the cave through the cascade of the Dolencias sinkhole.

Methods

A specific monitoring, sampling and analysis program was designed and implemented to obtain data on the CO2(g) contents and physical parameters of cave air via continuous logging by an installed network of sensors that were spatially distributed and by means of spot air sampling by seasonal short surveys. The monitoring stations were installed in different locations according to several levels of microclimatic stability and the distance to the main entrances, specifically in the following galleries: Edelweiss, Gour Hojas and Museo Cera. Hourly data of the main cave air parameters were registered at these three cave locations, in addition to the exterior meteorological conditions located in the Dolencias doline (see Fig. 2). To date, a complete suite of time series has been registered from August 2013 to August 2014.

Each monitoring station consisted of a HOBO Pro v2 datalogger with built-in temperature and relative humidity sensors and a HOBO-U21 datalogger (Onset Computer Corporation, Bourne, MA, USA) accepting voltage and current inputs from a 4-channel multiplexer with 12-bit resolution. A set of special sensors were connected to this datalogger for the narrow range of measurements expected: air temperature (accuracy of ±0.2 °C over 0–50 °C with a resolution of 0.02 °C at 25 °C), relative humidity (range from 0 to 100 % with a typical accuracy of ±2.5 % from 10 to 90 % to a maximum of ±3.5 % above 95 % and a resolution of 0.03 %) and barometric pressure (range of 660–1070 mbar with an accuracy of ±3.0 mbar over the full pressure range at 25 °C and a resolution of 0.1 mbar). The outdoor weather station (HOBO U22) also included a tipping-bucket rain gauge for rainfall measurements up to 10 cm of rain per hour with an accuracy of ±1 % up to 20 mm and a resolution of 0.2 mm.

The carbon dioxide concentration of cave air was registered with a K-33 ELG autonomous monitor (CO2meter, Ormond Beach, FL, USA) based on non-dispersive infrared technology and a sampling method by gas diffusion. The measuring range was from 0 to 10,000 ppm, with an accuracy of ±30 ppm or ±3 % of the reading and a resolution of 1 ppm.

Ventilation of the cave atmosphere by advective forces was evaluated by monitoring its radon content (222Rn). Radon is a suitable tracer gas for cave ventilation (Kowalczk and Froelich 2010) because of its half-life and inertness, i.e., it is not involved in the biogeochemical processes accounted for in the soil-subsurface profile. The 222Rn concentration of cave air was continuously registered (sampling interval of 30 min) using a Radim 5WP radon monitor (GT-Analytic KG, Innsbruck, Austria). This monitoring records the radon concentration of air by measuring the alpha-activity of the decay products of the conversion of radon, 218Po and 214Po collected from the detection hall on the surface of an Si-semiconductor detector by an electric field. The lowest activity detectable is 80 Bq/m3 for 1-h measurements with a statistical error equal to ±20 %, and the maximum detectable activity is 150 KBq/m3.

Spot air sampling was conducted bimonthly in a predefined network of points that were spatially distributed in the cave, soil and exterior during four short surveys (<3 h long). Exterior and soil air were sampled at fixed locations throughout the day and preferably during maximum (midday) and minimum photosynthetic activity (early morning). Soil air collection was conducted at sites located vertically above each cave using a steel tube with grooved sides at its end and inserted 20–50 cm near the bedrock–soil interface. Soil air was extracted using a micro-diaphragm gas pump (KNF Neuberger, Freiburg, Germany) at 3.1 l min−1 at atmospheric pressure. A portable air-compressor (AQUANIC s790) was run at 0.4 l min−1 for the cave air and atmosphere samples. Air samples were stored in 1-L Tedlar bags with lock valves. Bag samples were analyzed within 48 h of sampling for CO2 concentrations and isotopic signals (δ13CO2) by a laser-based analyzer (Picarro G2101-i, California, USA) that employs cavity ring-down spectroscopy (Crosson 2008). Precisions of 200 and 10 ppb are guaranteed by the manufacturer for 12CO2 and 13CO2, respectively, over a wide operating range, with a resulting precision of less than 0.3 ‰ for δ13C(CO2) after 5 min of analysis. The maximum drift of δ13C(CO2) is less than 2.0 ‰ over 24 h at standard air pressure (peak-to-peak, 1-h average). Periodic tests were conducted to verify that the analyzer attained the above performance specifications (precision and drift) in accordance with the manufacturer’s guidelines (test for 24 uninterrupted hours with the analyzer attached to a cylinder of compressed air with known CO2 abundances).

Further information about the monitoring equipment and analytical techniques used in this study are detailed by Fernandez-Cortes et al. (2015).

A detailed multiparametric and spatially resolved monitoring of the main microclimatic parameters (temperature and relative humidity) in the underground air, the soil air and the external atmosphere was conducted during each specific survey, in tandem with the analysis of gas composition (CO2 and δ13C-CO2). A set of high-accuracy probes (subjected to a standard and certified calibration) was used for this purpose: RTD PT100 sensor (C100, LUFFT), thermistor sensor (5611T, Hart Scientific), Hygropalm 1 (Rotronic) and a dual-wavelength infrared absorption sensor for CO2 (SenseAir).

Results and discussion

CO2 variations in cave air and ventilation regimes

Figure 3a, b shows the time series of cave air temperature related to the external weather conditions including air temperature and rainfall. During summer (from June to October) the cave air temperature is very stable according to a gradient of temperatures with lower values in the areas close to entrances. The exterior temperature remains continuously below the cave air temperature during the winter period (from November to May). This provokes convective air circulation inside the cave and air exchange between the cave and the atmosphere (colder and denser) through the air inlet. Consequently, the cave air temperature decreases by up to 4 °C, except in the most isolated areas (Museo Cera). The intense outside air inlet also provokes sharp decreases in relative humidity (up to 15 %) in the monitoring stations nearer to entrance (Edelweiss and Gour Hojas) (Fig. 3c).

Fig. 3
figure 3

Variations in the cave air temperature (b) and relative humidity (c) at three locations: Edelweiss, Gours Hojas and Museo Cera in relation to daily weather changes (temperature and rainfall) (a) from August 2013 to August 2014. The relative humidity of the cave air at the Museo Cera site remained close to a steady state of saturation

The seasonal process of cave air renewal affects the gaseous composition of the cave atmosphere. Thus, the carbon dioxide concentration of the subterranean atmosphere has a stair-step pattern with strong shifts depending on the temperature relationship between the cave air and the atmosphere. Figure 4a shows the seasonal change in ventilation of the cave atmosphere, i.e., from summer to winter, which is reflected in the concentration of CO2 (Fig. 4c) and 222Rn (Fig. 4b). Thus, high summer and low autumn–winter levels were registered at each cave location during the monitoring period.

Fig. 4
figure 4

Seasonal variation of the gaseous composition of the cave atmosphere: CO2 (c) and 222Rn (b) in relation to the change in air temperature differences between the exterior and the cave environment from summer to winter (a)

The daily CO2 concentration reached atmospheric levels (~400 ppm), especially at locations near the main cave entrances and exposed to high ventilation rates (Edelweiss monitoring station, Fig. 2b). Advection is the mechanism that controls the CO2 variations in the cave atmosphere, and it varies seasonally and daily, controlled by changes in meteorological conditions. The advective flux injects the outside air into the cave and extracts the subterranean CO2-enriched air. This processes is triggered either by local temperature differences (thermal buoyancy due to different densities of warm and cold air), by intense wind or by a combination of both (Garcia-Anton et al. 2014). The advective influx of outside air during colder months also entails significant decreases in air temperature at those locations near cave entrances (−2.25 °C in Gours Hojas and −4 °C at the Edelweiss site), in addition to a depletion in the radon content of air at the most remote and isolated cave locations, e.g., the radon content of air from Museo Cera reached background levels of approximately 500 Bq/m3 (Fig. 4b).

The logging equipment also registered huge daily oscillations of CO2 levels ranging 680–1900 ppm/day on average (from August to early October) (Fig. 4c), in accordance with two opposite patterns controlled by the outside air temperature: (1) CO2 depletion (−47 to −166 ppm h−1, on average) connected to sharp decreases in air temperature (−0.01 to −0.06 °C h−1 on average, with maximums ranging from −0.15 to −0.57 °C h−1) due to a nocturnal and early morning inlet of cold outside air and (2) an increase in the CO2 concentration (+58 to +182 ppm h−1 on average) corresponding to a recovery of cave air temperature during the daytime. These daily variations in the CO2 content cease once the outside air temperature remains below the cave temperature and a stable mechanism of advective-renewal of cave air is established, such that the daily-averaged concentrations of CO2 and 222Rn reach minimum values close to 500 ppm and 700 Bq/m3, respectively.

The seasonal and daily fluctuations of gases as a function of temperature oscillation depend on the morphology of each cave sector and its location relative to exokarst. Thus, the daily pulses of CO2 as a function of external temperature variation are not observed in the inner cave locations (e.g., Museo Cera) where, conversely, variations in CO2 are primarily controlled by the medium-term changes in air pressure (Fig. 5a). The natural fluctuations in the atmospheric pressure induce gas movement between the atmosphere and the subsurface, which is referred to as barometric pumping or atmospheric pumping (You et al. 2011, among other studies). The high pressure of cave air induces gas entrapment in Museo Cera, which is favored by a topographic effect of this gallery. Once the atmospheric pressure at the surface decreases, the pressure balance is re-established through breathing of CO2-enriched air from Museo Cera and, consequently, as air with a lower CO2 concentration from the surrounding cave sectors is forced into this gallery.

Fig. 5
figure 5

Medium-term variations in carbon dioxide contents registered in Museo Cera as a function of cave air pressure changes (a) and daily pulses of CO2 levels in Edelweiss primarily controlled by air temperature differences (exterior-cave) (b)

The fluctuations in atmospheric pressure at the surface and subsurface and its consequent influence on the subsurface airflow and gas transport are caused by two main reasons: (1) diurnal fluctuations due to gravitational effects (earth tides) and the warming and cooling of air caused by the daily alternation of solarization and (2) longer term fluctuations on the order of days to weeks due to weather and frontal systems as they move across the earth’s surface (Kuang et al. 2013). Figure 5a shows that the breathing pulses due to air pressure variations involves periodic but not daily changes in the CO2 concentration in the isolated area of Museo Cera. The simultaneous fluctuations in cave air pressure and CO2 concentration induced by variations in weather patterns are on the order of 5–10 mbar over periods of a few days. Outside air pressure variations are transmitted to the cave air, and an increase in cave air pressure causes the air masses located at isolated cave sites (e.g., cul-de-sac galleries as Museo Cera) to remain motionless. There is lesser air renewal under these aerodynamic conditions, and, therefore, the gases concentrations (CO2 and 222Rn) tend to rise.

On the contrary, the daily renewal of cave air due to advective processes is triggered by inversion of the temperature gradient, which causes large changes in the CO2 concentration in the areas closer to entrances, e.g., Edelweiss. The CO2 concentration in this sector reaches the minimum values daily when the outside air temperature falls below the cave air temperature, primarily during night hours (Fig. 5b). These daily decreases in gas concentrations is even triggered before the exterior temperature is below the cave temperature, suggesting that colder and CO2-depleted air masses from other cave locations can also be displaced to the Edelweiss gallery.

During periods of strong daily oscillations of CO2 levels (Fig. 5b for the Edelweiss gallery), the sharp drops in the CO2 level are followed by similar CO2 increases during daylight hours. The increase in CO2 concentration corresponds to an increase in air temperature difference between the exterior and the cave, but CO2 maximums are reached with after a delay (5.6 h, on average) with respect to the maximum air temperature difference. In the absence of assessing the GHG contents and the isotopic signal δ13CO2 by continuous real-time monitoring with CRDS techniques during several daily cycles, we hypothesize that a CO2 concentration gradient between the deeper soil zones and karst–epikarst favors a downward CO2 diffusive flow between both environments. The absence of ventilation results in a constant and progressive increase in the CO2 concentration in the cave from the surrounding epikarst (i.e., set of fissures, cracks and voids located above the galleries), as has been observed in other cavities, e.g., Altamira cave (Garcia-Anton et al. 2014).

The stable isotopic composition of gaseous carbon dioxide is a useful tool for understanding carbon cycling processes by determining the contributions of multiple carbon sources, as well as obtaining direct quantitative links to the sources of CO2 and to the mechanisms that control gas transport and the transfer of carbon in the soil–cave system (Breecker et al. 2012) or in the atmosphere–soil–cave system (Garcia-Anton et al. 2014). In particular, the “Keeling plot” method for the analysis of the δ13CO2 isotopic signal assesses the processes that control an ecosystem’s isotopic discrimination (Pataki et al. 2003). This plot corresponds to a two-end mixing model that determines, by a linear regression approach, the carbon isotopic signal of the CO2 sources of a specific ecosystem that contributed to increases in atmospheric CO2. The y-intercept of the Keeling model corresponds to the carbon isotope composition of the integrated value of the CO2 sources in the ecosystem.

For caves, the CO2 concentration of underground air is broadly the result of mixing the background atmospheric CO2 with soil-produced CO2. In the case of Ojo Guareña, the data were fitted with a Keeling model with a mean y-intercept value of −26.1 ‰ (Fig. 6). The soil holds four times as much carbon, on average, as does the cave atmosphere. Most soil carbon is derived from recent photosynthesis that takes carbon into root structures and into organic matter that can be carried deeper into bedrock storage and, subsequently, to the subsurface atmosphere. Therefore, soil respiration and carbonate precipitation act as sources of CO2 that greatly increase the CO2 molar fraction in the soil pore airspace, causing bidirectional diffusive transport between both the soil↔atmosphere and soil↔subsurface (subsoil and subterranean atmosphere). Thus, the CO2 gas variations in the subsurface air are primarily controlled by gas diffusion from soil and air input from the outside atmosphere by advection. Accordingly, soil-produced CO2 enters the subterranean atmosphere, increases the CO2 concentration and reduces the isotopic signal (δ13C-CO2). On the contrary, the direct input of outside air (without any soil influence) has a lower CO2 concentration and heavier isotopic signal. Therefore, the CO2-soil recharge by diffusion prevails during the end of summer, but the cave air becomes well mixed with the atmosphere during colder months (December–February).

Fig. 6
figure 6

Keeling model of CO2 based on average values of CO2 concentration and carbon isotope ratios registered during each bimonthly air sampling. A three-component mixture is distinguished: background atmosphere (open squares), soil air (open circles) and cave air (solid circles). Black-solid circles correspond to the average data of cave air, and blue-solid circles correspond to air samples from Museo Cera. Numbers indicate the month in which the air sampling was conducted (1: January,…,12: December). Keeling model: δC[CO2] (‰) = 6749.4 · [CO2] (ppm−1) − 26.1, with R 2 = 0.96

As the distance of the cave air samples from the y-intercept of the Keeling models increases, there is greater ventilation and greater influence of the external atmosphere. Conversely, when CO2 concentration is high and δ13CO2 tends toward the y-intercept, the gas enters by diffusion and has a mainly edaphic origin. Consequently, air from more isolated galleries (e.g., Museo Cera) always has a higher CO2 content and a δ13C[CO2] usually below −20 ‰ with respect to the other cave locations and considering the same air-sampling survey (Figs. 6, 7b, c), which points to a gas inlet with a primarily edaphic origin. Conversely, lower CO2 contents and a δ13C[CO2] that tends to local atmospheric background (~9 ‰) denote a high air renewal rate of the cave atmosphere.

Fig. 7
figure 7

Spatial distribution of air temperature (a), CO2(g) concentration (b) and its carbon isotopic signal (δ13C[CO2]) (c) and the temperature of main cave sectors into the Ojo Guareña karst system (see Fig. 2). Data for each contour map correspond to mean values from 7 bimonthly spot air samplings conducted from August 2013 to August-2014, showing the isolated areas and those with a prevailing air exchange with the exterior

Air samplings were conducted at times of day with high ventilation rates, enabling the composition of a spatial distribution of the main cave sectors for storage or sinks of carbon dioxide. Figure 8 shows the spatial distribution of the average temperature, δ13C[CO2] and carbon dioxide concentration of the cave air during the studied period. The minimum temperature values near the Dolencias sinkhole are related to the presence of the stream of subterranean water to the other sectors of the cave and the occasional waterfall through this sinkhole during the wet season.

Fig. 8
figure 8

a Daily variations in carbon concentrations in underground air from the Edelweiss gallery from early June to late October of 2014. b Balance between CO2 outgassing and storage in the underground after each daily pulse of ventilation and CO2 flux (mmol day−1 per cubic meter of air) from the gallery to the external atmosphere through ventilation

A prime example of an isolated sector is Museo Cera, which is topographically higher than the rest of cave sectors (Fig. 2). The lowest renewal of cave air was found in this eastern dead-end gallery, coinciding with the highest CO2 (>2500 ppm) concentration, the lowest levels of δ13C[CO2] (<−23 ‰) and the maximum radon activity in the air, which indicates a lesser influence of aerodynamic processes. The atmosphere of this sector behaves as a warmer air mass entrapped in a void under a small overpressure. The thermal stratification of air creates a motionless trap of warm and less dense air that contributes to the CO2 entrapment in Museo Cera (Fig. 7a), hindering the air exchange with the outer atmosphere. Microenvironmental data show that it operates as a motionless atmosphere that essentially does not take part in the daily aerodynamic process between the cave and the external atmosphere; it is, however, controlled by the following: (1) ‘breathing pulses’ due to air pressure imbalances (cave-exterior) that involve periodic but not daily changes in the direction of airflow and (2) seasonal (winter/summer) renewal of cave advective processes. The diffusive flux of soil-derived CO2 prevails under these environmental conditions, so its isotopic signal δ13C[CO2] here reaches the minimum values compared to other cave locations (Fig. 7c).

Carbon fluxes and daily CO2 balance after ventilation pulses

The discovery of frequent (daily), rapid (several hours) and large cycles of CO2 recharge and ventilation in the Edelweiss gallery makes this subsurface location a hotspot of CO2 sources from the vadose zone to the troposphere.

The results summarized in Fig. 8a correspond to data records of daily variations in carbon concentrations in underground air from the Edelweiss gallery from early June to late October of 2014. The daily changes in the CO2 concentration of cave air are primarily regarded as a response to changing cave ventilation during nighttime hours that are then modulated by gas diffusion from overlying soil and epikarst during daylight hours. At the Edelweiss gallery, the biotic CO2 production and mass input of CO2 from the degassing of drip water are considered negligible during the dry summer period because of the absence of both effective infiltration and active streams bringing organic matter into the cave from the outside.

During this complete summer period, the highest CO2 concentrations in underground air of the Edelweiss gallery were registered every day between 19:00 and 21:00 h GMT (Greenwich Mean Time) after a continuous process of CO2 diffusion from soil, reaching daily-averaged levels close to 2000 ppm. During nighttime, the temperature gradient is reversed, i.e., the outside air temperature is lower than the cave air temperature, which triggers a renewal process of underground air from the Edelweiss gallery through advective forces primarily along the Palomera doline. Consequently, the minimum concentrations were very often below 1000 ppm, and they were always reached during the early morning of the next day (between 8:00 and 9:00 h GMT), just at the end of the advective mixing of the cave air with exterior air. The drop in CO2 between consecutive days was approximately 1350 ppm on average, but, during some daily cycles, the CO2 levels decreased by 4250 ppm in just 12 h.

A mass-balance model can be constructed in terms of air advection between the Edelweiss gallery and the outside atmosphere. The CO2 outgassing of the cave air during advection is primarily controlled by the air movement that produces the inflow of exterior air that is joined to an output of cave air. Therefore, during this stage of the day, the cave air is the resulting air mixture of the initial subterranean atmosphere (CO2-background before the process) and a certain quantity of the exterior air input due to a volumetric movement. Considering a mass balance, the CO2 concentration of the cave air (Edelweiss gallery) can be written as a time-dependent relation between the background component and the exterior component as follows:

$$ \left[ {{\text{CO}}_{ 2} } \right]_{\text{c}} \left( t \right) = \left[ {{\text{CO}}_{ 2} } \right]_{\text{b}} + V_{\text{e}} \left( t \right) \times (\left[ {{\text{CO}}_{ 2} } \right]_{\text{e}} - \left[ {{\text{CO}}_{ 2} } \right]_{\text{b}} ) $$
(1)

where [CO2]c(t) is the daily (named as t) minimum concentration of CO2 inside the cave (ppm) for each day (i.e., at the end of the advective period), [CO2]b is the background (maximum) concentration of CO2 (ppm) inside the cave on the previous day (i.e., beginning of the advective period), [CO2]e is the concentration of CO2 in the exterior atmosphere (approximately 430 ppm on average during the summer period in the area surrounding the cave entrance), and V e(t) is the total volume of exterior air input into the cave that is dependent on the time (relative volume) that results from the advective flux (or ventilation rate) between the exterior and the cave (Edelweiss gallery). Further details concerning the calculation of the mass balance of CO2 in dynamically ventilated caves can be found in Garcia-Anton et al. (2014).

The mass balance of Eq. (1) allows us to quantify the ventilation rate (V e) that affects the subterranean atmosphere and causes the CO2 degassing in underground air. Thus, the total volume of the background component (V b) and the total volume of the exterior component (V e) can be expressed as relative volumes of the volume of the cave (V c) as follows: V c = V b + V e = 1. Therefore, the ventilation rate (Ve) is calculated as a function of the CO2 concentration in cave air and in the exterior as follows:

$$ V_{\text{e}} = \left( {\left[ {{\text{CO}}_{ 2} } \right]_{\text{c}} - \left[ {{\text{CO}}_{ 2} } \right]_{\text{b}} )/(\left[ {{\text{CO}}_{ 2} } \right]_{\text{e}} - \left[ {{\text{CO}}_{ 2} } \right]_{\text{b}} } \right) $$
(2)

Figure 8b shows the daily balance between CO2 outgassing and storage in the underground air from the Edelweiss gallery after each daily pulse of ventilation (cave air renewal). It also includes the estimations of the daily CO2 flux from the gallery to the external atmosphere through ventilation (in terms of μmol day−1 per cubic meter of air). The net mass of CO2 outgassed from the cave is controlled by ventilation and variations in CO2. In general, as both ventilation and negative variations in CO2 increase, CO2 outgassing increases. The average net CO2 outgassing from the Edelweiss gallery during summer (from June to October) was 7600 mol day−1 (approximately 335 kg day−1) considering a volume of the Edelweiss gallery of approximately 115.4 103 m3, which is in turn connected with other galleries of the subterranean system. These data for outgassing fluxes of CO2 are two orders of magnitude higher than the estimations for other caves, e.g., 120 mol day−1 on average for the Hollow Ride cave (Kowalczk and Froelich 2010) or 2.34 to 11.71 kg day−1 for Grotta di Ernesto (Frisia et al. 2011). These differences highlight the remarkable roles of the Edelweiss gallery and, the Ojo Guareña system in general, as both reservoir and, mainly, daily emitter with respect to other dynamically ventilated caves.

The advective flux between the exterior and the Edelweiss gallery provokes a daily renewal of the underground air mass from Edelweiss of approximately 67 % on average. The amount of CO2 stored at the end of each daily pulse of ventilation, [CO2]s(t), corresponds to a mixture of air that results from the partial input into the cave of exterior air and the remaining CO2 from underground air that is not evacuated as follows:

$$ \left[ {{\text{CO}}_{ 2} } \right]_{\text{s}} \left( t \right) = V_{\text{e}} \left( {{t}} \right) \times \left[ {{\text{CO}}_{ 2} } \right]_{\text{e}} + V_{\text{b}} \left( {{t}} \right)\cdot\left[ {{\text{CO}}_{ 2} } \right]_{\text{b}} . $$
(3)

The average net CO2 stored in the mass of air from the Edelweiss gallery after ventilation was approximately 4800 mol day−1 (212 kg day−1) during summer.

On a daily average, the Edelweiss gallery clearly acts as a net emitter of CO2 (i.e., it is able to emit more CO2 than it stores) once the underground air is CO2-enriched during the previous night hours, primarily through gas diffusion from the soil and epikarst. Finally, a carbon imbalance was observed in the CO2 molar fractions and masses by considering the entire summer season. In seasonal computing on a global scale, the CO2 balance into the air from the Edelweiss gallery resulted in an evacuation of 1011 103 mol (44.5 T) of CO2 to the outside atmosphere through ventilation during a summer period of 133 days.

Up-scaling: highly ventilated subterranean atmospheres as CO2 emitters with significance in regional and global CO2 budgets on different timescales

The phenomenon described here may thus be relevant on a global scale. However, there are not yet enough globally representative and tested data on presence and distribution of the subterranean atmospheres or caves, so extrapolation of any CO2 sink/source model to a global scale still could entail much uncertainty. Nevertheless, in light of the above results, we propose a first up-scaling attempt in order to extrapolate to a global scale the CO2 emission that has been described here for the subterranean atmosphere of Edelweiss gallery. The sequence of the applied calculations and the assumptions and constraints imposed were as follows:

  1. 1.

    A surficial Earth system analysis was performed with the aim of assessing potential subterranean hotspots for atmospheric CO2 sinks or sources via ventilation processes. The global distribution of continental terrains suitable for hosting underground air pockets within their vadose zone but connected to the open atmosphere (mainly caves), was quantified. The voids and cavities filled with underground air are primarily due to the chemical dissolution of soluble layers of bedrock by variably acidic water, notably in carbonate rocks (limestone, dolomite or marble) and, to a lesser extent, evaporites rocks (mainly gypsum).

    Digital maps of the lithology of the continental surfaces were used to quantify the current global area of outcropping rock types. In particular, the present surficial lithology for the nonglaciated area of continents proposed by Durr et al. (2005) was used. The worldwide distribution of continental outcrops of carbonates rocks was also compared with results from other studies (Suchet et al. 2003; Ford and Williams 2007; Hollingsworth 2009). Lithologies linked to pseudokarst (Halliday 2004), i.e. lava tubes and piping caves in badlands terrains, among others, and other consolidated sedimentary rocks (according to Durr et al. 2005) with some portion of carbonate were not considered with the aims to simplify the calculation procedure.

  2. 2.

    Estimation of the area of rock outcrops for each lithological class that could potentially host subterranean atmospheres was performed using the areal coverage. Areal coverage is the fraction of the area of the cave field (outcrop) occupied by subterranean passages in a plan view (Klimchouk et al. 2000; Klimchouk 2004, 2006). The above studies assessed the variations of underground air volumes in the vadose zone resulting from speleogenesis, i.e., karst features such as cavities, in confined and unconfined settings through the analysis of typical morphometric parameters of a large and representative set of caves under the main soluble lithologies (limestone and gypsum). Areal coverage usually ranges from 28.4 % (gypsum caves) to 33.0 (limestone caves). In the case of carbonate rocks, karstification is a process that occurs in almost all outcrops worldwide (global area of 13–18 106 km2, Table 1) as karst settings are reported to cover from 12 to 25 % of the land surface of the Earth (White 1988; Ford and Williams 2007). Therefore, evaluation of the areal coverage is a suitable approach for estimating the fraction of the carbonate outcrop area under which it is feasible to find underground air masses.

    Table 1 Global estimates of CO2 that is annually evacuated or stored for each lithological class favorable for hosting underground air in connection with the lower troposphere, according to the above sequence of up-scaling calculations
  3. 3.

    The potential volume of soluble rock from the vadose zone capable of holding subterranean and interconnected air pockets was calculated for each lithological class at a global scale, by considering the previous global data on the dimensions of outcrops and their estimated areal coverage and depth.

    The vadose zone is the portion of the subsurface above the groundwater table. In some places the vadose zone is absent, as is commonly observed where there are lakes and marshes, whereas in other areas, it is hundreds of meters thick, as is common in arid regions. The vadose zone may extend much deeper than the surficial soil layer and includes unsaturated rocks and alluvial materials down to depths of 100 m or more Hopmans et al. 2005). However, it is more realistic to consider an average depth of 20 m as the maximum thickness of the karstified vadose zone where there is an active air exchange with the atmosphere via advective processes (i.e., bypassing the soil layer) at daily or seasonal scale. This threshold range agrees with the maximum depths at which underground air renewal is detected according to our cave monitoring results in other study sites (Fernandez-Cortes et al. 2015). The subterranean system of Ojo Guareña represents an exceptional case where air exchange reaches deeper locations (i.e., Edelweiss gallery is 40 m depth) due to the huge dimensions of galleries and cave entrances.

  4. 4.

    The prospective volumes of underground air contained in the soluble rock from the vadose zone were inferred by considering the distinctive solution porosity for each lithological class. Solution (channel) porosity, or cave (macroscopic) porosity, is the fraction of the volume of a soluble rock block occupied by mapped cavities resulting from speleogenesis in the vadose zone of karst aquifers (Klimchouk 2006). It is the volume of the cave divided by the volume of the soluble rock block expressed as a percentage. Klimchouk (2006) calculated an average cave porosity of 5.5 % for limestone and 4.8 % for gypsum, but the value was an order of magnitude lower in the case of limestone aquifers under unconfined settings.

  5. 5.

    We have considered an annual globally averaged abundance of atmospheric CO2 of 390.5 ppm for the year 2011 (Hartmann et al. 2013) as the last published reference regarding the current global atmospheric CO2 dry air mole fraction in the well-mixed troposphere. Therefore, the estimate of the daily amount of atmospheric CO2 that could be potentially stored in a single and standard subterranean atmosphere at global scale is approximately 757 mg m−3, considering a standard pressure (1 atm) and temperature (14.41 °C is the annual global combined land and ocean surface temperature for 2011 according to the National Oceanic and Atmospheric Administration (NOAA)—National Data Climate Center: http://www.ncdc.noaa.gov/sotc/global/2011/13).

The storage and ventilation of underground air at the Ojo Guareña cave was described in the previous section in terms of CO2 abundance on different timescales (daily and seasonal) and for the particular geomorphological and climate settings of the Edelweiss gallery. As an initial approximation for the up-scaling procedure, we considered the above data registered for our study site and the annual globally averaged abundance of atmospheric CO2. Thus, the daily-averaged mass of CO2 (kg) evacuated and stored from a single subterranean system after each daily ventilation pulse during the season with intense cave air renewal (i.e., via advection and bypassing the soil) were estimated at 328 and 212 kg day−1, respectively. In addition, the daily-averaged amount of atmospheric CO2 that enters a subterranean atmosphere via advection was estimated at 51.9 kg day−1, considering a daily renewal of the underground air mass of approximately 65 % on average.

Seasonal differences in meteorological conditions, with changes in rain events and in the duration of dry seasons, can contribute to prominent changes in ventilation processes in the vadose zone, especially in the uppermost part connected to the atmosphere. The intensity and duration of ventilation processes in a subterranean atmosphere depend on a wide range of geomorphological and climate features of the local outcrop where it is located, including the bedrock and soil thicknesses, weather oscillations and the number and location of connections with the external atmosphere, among other factors. An average of 133 days per year was considered as the duration of the seasonal period with a prevailing daily ventilation of underground air via advective processes based on our monitoring results in the Ojo Guareña cave. This duration of the seasonal ventilation is also in agreement with records obtained at other subterranean sites (Fernandez-Cortes et al. 2015). The variation of the local air temperature is the parameter that best controls the air exchange between the connected vadose zone and the atmosphere, but this duration could be considered a representative average value of the worldwide duration of the opposite seasons in terms of air temperature conditions, regardless of the hemisphere considered.

Table 1 summarizes the annual estimates of CO2 evacuated or stored for each lithological class favorable for hosting underground air in connection with the lower troposphere according to the above sequence of up-scaling calculations.

Subterranean atmospheres, mainly caves, can be considered as a temporal depot for CO2 coming primarily from upper-layer soil diffusion or weathering. In scaling up our findings, we estimate the gas-phase storage in the terrestrial subsurface atmospheres (and potential ventilation) in the range of 1.46 Pg year−1 by only considering the shallow subterranean atmosphere within the continental outcrops with porous rocks, particularly those that are susceptible to karstification. From this parameterization, we also estimate that the amount of subsurface-related CO2 evacuated (via ventilation) could reach 2.26 Pg year−1 on a global scale. These data have the same order of magnitude as previous estimates of the subterranean CO2 pool and its potential ventilation (Serrano-Ortiz et al. 2010).

Conclusions

The caves from the vadose zone may contain large amounts of CO2-rich air, some of which exhibits a direct connection to the open atmosphere. Within the complex set of biological, physical and chemical factors involved in the interstices of soil and bedrock, understanding the main climate-driven processes controlling CO2 exchange in the entire atmosphere–soil–subsurface system is therefore key to assessing the carbon sequestration or release in these terrestrial ecosystems. Ultimately, this study characterizes the periods of isolation, recharge and storage processes of gases in the subsurface environment of a long subterranean system, specifically the ventilation/venting processes and the resulting release/loss of stored gaseous CO2 to the Earth’s atmosphere.

This study involved spot sampling and measurement of gases in the atmosphere, soil and cave environments using cutting-edge spectroscopy techniques and instrumental systems for long-term monitoring of remote and hostile environments, such as subsurface (cave) and soil in karst terrains. In particular, the application of cavity ring-down spectroscopy allowed us to obtain high-accuracy measurements of CO2 and its isotopic analysis (δ13CO2) to improve our understanding of CO2 exchange processes between cave environments, soils and the atmosphere. Comprehensive microclimatic monitoring of the exterior, soil and cave atmospheres conducted simultaneously with CO2 tracking provided data for a full characterization of the time evolution and periodic variability of the microclimatic parameters, both individually and jointly in a spatial context (cave–soil–atmosphere). Overall, the spatiotemporal tracing of CO2 and the continuous monitoring of microclimatic parameters of cave air conducted in this study are a suitable and reliable methodological approach to better understand the behavior and lifetime of the CO2 in subsurface environments located in the vadose zone.

The spatiotemporal pattern of carbon dioxide described here provides evidence that atmospheric air that is inhaled into dynamically ventilated caves (e.g., Ojo Guareña) can then return to the lower troposphere as 12CO2-rich cave air, even on short-term scales (daily). Some areas of long subterranean systems (e.g., Ojo Guareña) do not participate in the daily/seasonal renewal of cave air by convective forces, and they act as motionless atmospheres where gas accumulation and CO2-soil diffusion prevail.

There is an intense gas exchange between the bulk of the atmosphere and large shallow caves such as Ojo Guareña, in particular at highly ventilated galleries such as Edelweiss. At this cave site, the underground air of this subterranean system shows significant seasonal and even daily variations in the CO2 concentration, which involves the exchange of large amounts of CO2(g) with the lower troposphere and its role as a depot and/or emitter. The amounts of carbon that might further be sequestered (CO2) have a potentially significant impact on the regional atmospheric CO2(g) budget because shallow caves may largely represent the volume of underground air that is distributed widely across continental ecosystems. In any case, this should be noticeable at a local scale by considering long subterranean systems such as Ojo Guareña karst.

By scaling up our findings, we estimated the subsurface-related CO2 storage and evacuation on a global scale at 1.46 and 2.26 Pg year−1, respectively. The CO2 storage in subterranean atmospheres could represent up to 56.2 % of the residual land CO2 sink, i.e., the uptake of CO2 in ecosystems excluding the effects of land use change. This terrestrial carbon sink has been estimated at 2.6 ± 1.2 Pg year−1 for the last decade (2000–2009) according to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change (Ciais et al. 2013). The estimate for the amount of CO2 evacuated every year from subterranean atmospheres is approximately twice that of the CO2 release from freshwater outgassing (lakes and rivers), and it could also represent 56.5 % of the annual growth rate of atmospheric CO2 during the last decade (2000–2009), which has been estimated at 4.0 ± 0.2 Pg year−1 (Ciais et al. 2013).

In accordance with these estimated data, the potential presence of hotspots in regions with subterranean atmospheres, e.g., karst areas, should be included when considering data from multiple atmospheric CO2 inversion (top-down) models. In addition, future investigations should be focused on performing continuous monitoring of CO2 in cave air and its carbon isotopic signal (δ13CO2) in both well and poorly ventilated subterranean sites. The mechanisms and sources that affect the CO2 contents of cave air should be identified to better understand the role of shallow vadose systems as a source/sink of this greenhouse gas.