Introduction

Arctic soils overlying permafrost contain an estimated 900 Pg organic carbon1,2. Much of this carbon is thought to be protected against microbial decomposition by cold temperatures3 and could be mineralized to carbon dioxide (CO2) and transferred to the atmosphere with a warming climate4,5,6,7. Warmer soils may also enhance microbe-driven methane (CH4) emissions from Arctic soils. Few projections, however, are informed by field-based observations of the direct temperature sensitivity of microbial decomposition and greenhouse gas production. As a result, there is large uncertainty about the magnitude of response and how fast microbial decomposition or ecosystem respiration will change in response to warming.

Climate models predict 3.1–7.7 °C of surface-air warming over permafrost soils by 2100, and warming of the top meter of Cryosol (i.e., permafrost or Gelisol) soils by 3.2–5.8 °C for RCP 4.5 and 8.5, respectively8. This warming will have many effects on respiration and greenhouse gas fluxes due to impacts on controls such as microbial community, metabolism, and enzyme activity, substrate availability, and vegetation types and inputs. To represent the direct effect of warming on microbial respiration, most Earth system models (ESMs) prescribe an apparent temperature sensitivity, or Q10, in their decomposition and respiration modules9, but the Q10 value is not informed by Arctic observations and is typically a single, common global parameter.

Different approaches to studying the direct effects of temperature on decomposition in Arctic ecosystems, such as incubations, seasonal variation, and in situ manipulative experiments, have different strengths and weaknesses. While incubations are able to control temperature, they do not maintain realistic variations in climate and lack plant inputs that provide microbial substrates10,11. Statistical relationships between ambient (e.g., seasonal) temperature variation and CO2 or CH4 fluxes have been used to estimate temperature response functions for those fluxes, but covariation of temperature with plant phenology, insolation, and other ecosystem controls confounds these interpretations and lacks testing. In situ warming experiments take place in the context of realistic climate and vegetation, but have been restricted to locations with sufficient infrastructure (for heating cables or infrared lamps for canopy and active-layer warming), low amounts of warming (<1 °C), and/or surface soils only (<20 cm, for passive warming with open top chambers, OTCs)12,13. Snow fence and snow relocation experiments have accomplished warmer, deeper heating, but without the ability to control the magnitude of warming14.

Due to the inherent differences and limitations among these approaches, there are gaps in understanding the response of ecosystem-atmosphere CO2 and CH4 fluxes to warming, and varying findings among studies and sites12,13. Therefore, the effects of whole-active-layer warming on Arctic ecosystem carbon fluxes remain highly uncertain.

In the Arctic, soils that are unsaturated with respect to water often overlay saturated horizons that produce large amounts of CH4, but most of this subsurface CH4 is oxidized in aerobic layers or microsites rather than emitted to the atmosphere15,16. The microbial processes and soil conditions influencing CH4 production, consumption, and net fluxes are temperature-sensitive, but few experiments have studied this sensitivity in the field17,18.

An additional need for controlled warming in the field is to investigate the impact of rapid melt of ice or snow over talik areas (thawed zone between the permafrost and the frozen surface). Arctic eddy covariance and chamber measurements have documented pulse releases of CH4 and CO2 during the fall and spring shoulder seasons19,20,21,22,23,24. It is hypothesized that rapid loss of ice or snow cover leads to escape, without opportunities for oxidation, of CH4 that has accumulated in the subsurface25, and represent an increase in annual ecosystem CH4 emissions to the atmosphere19,22,23,26,27. Testing this hypothesis in the field would require controlled, rapid warming of the frozen soil surface.

To address these gaps, this study examined the direct effects of active-layer warming and rapid snow/ice melt on ecosystem CO2 and CH4 fluxes in continuous permafrost tundra, in Utqiaġvik (formerly Barrow), Alaska, using a novel heating approach that achieved controlled warming throughout the active layer while preserving natural climate variation and vegetation inputs (Methods; Supplementary Fig. 1). Based on a recently tested method28, we used heating rods installed vertically in the soil to heat the whole active-layer soil profile to the depth of permafrost (32–44 cm) with control over the amount of warming28. We modified this method to use just one heating rod in the middle of a small treatment plot29, and a photovoltaic system to enable field sites without line power. Greenhouse gas fluxes were measured with a chamber and Los Gatos Research, Inc. Ultraportable Greenhouse Gas Analyzer. We hypothesized that (1) when the whole active layer is warmer, tundra ecosystem respiration rates show higher temperature sensitivity compared to those observed in shallow-warming experiments or imposed (soil) or emergent (soil and plant) in ESMs; (2) using temporal (e.g., seasonal) patterns in temperature and respiration to evaluate temperature sensitivity overestimates the effect of warming relative to using a controlled manipulation that allows comparison of two different temperatures at the same time; and (3) rapid melt of ice or snow allows the release of CH4 and CO2 that was produced in underlying thawed (talik) layers.

Results

The solar-powered system was able to heat the whole active layer quickly and maintain the target temperature difference while tracking natural diurnal cycles, for heating during the growing seasons and fall shoulder seasons of 2015–2016 (Fig. 1; Supplementary Fig. 1). To achieve warming consistent with that predicted for 2100, the heated plots were 4.0 °C (3.5 °C, 4.3 °C) median (25th percentile, 75th percentile) warmer based on sensors at the depths at which heating level was regulated (the 10, 20, and 35 cm depths), and 3.8 °C (2.8 °C, 4.1 °C) over all depths (Supplementary Figs. 2 and 3) compared to control plots. At 5, 10, 15, 20, 25, 35, and 50 cm depths respectively, the median and interquartile ranges [median (25th percentile, 75th percentile)] of heated-control difference were: 1.97 (0.66, 3.19), 3.72 (2.30, 4.23), 4.08 (3.91, 4.80), 4.11 (3.57, 4.61), 4.72 (2.30, 5.31), 4.07 (2.84, 4.57), 1.71 (0.88, 2.40) °C.

Fig. 1: The heated-control temperature difference at each depth.
Fig. 1: The heated-control temperature difference at each depth.
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The heated-control temperature difference, per depth between 10–50 cm, summarized in boxplots of the difference for each 15-min measurement in all blocks. The vertical dash line represents the median warming for all depths, 3.8 °C. The negative y-axis values indicate depth below the surface (0 cm). Maximum active layer depth was roughly 45 cm in the centers of these polygons. The box reports the median and interquartile range for each depth. For all sensors over the 10–35 cm depth interval, the temperature difference exceeded 2.5 °C 95% of the time; (warming was <2.5 °C for only 5% of the measurements; 8% <3 °C; 14% <3.5 °C). The dates of warming, during growing and fall-shoulder seasons of 2015–2016, are shown in Supplementary Figs. 2 and 3; dates of trace-gas flux measurements are shown in Figs. 2 and 4.

There was slightly less warming at 5 cm depth because of rainfall and heat exchange with the atmosphere, and less at the permafrost boundary (50 cm) because energy was consumed by the phase change of thawing permafrost and was advected by lateral flow of the newly thawed water (Fig. 1; Supplementary Figs. 1 and 2). The infrastructure was adequate to heat the soils several degrees warmer if the target warming was set higher.

In the pretreatment phase in 2014–2015 and during unheated periods in 2015, there was no difference in temperature, CO2 flux, or CH4 flux between control plots versus plots designated to be heated. Within a few hours of powering the heaters, warming was observed (Supplementary Fig. 1) and CO2 fluxes in the heated plots increased. During the 2015–2016 warming periods, the warming treatment resulted in a large and significant increase in ecosystem respiration (Fig. 2). (The low vegetative biomass in these systems means that ecosystem respiration and soil respiration rates are similar30, but we refer to ecosystem respiration since the chamber was placed on top of living vegetation.) In both years and all timepoints except October 2015 (when the effect was larger), heating increased ecosystem respiration by nearly 50% over unheated controls (n = 194 observations; control flux 0.67 μmol m−2 s−1, heated flux 0.99 μmol m−2 s−1, treatment difference p < 0.0001). There were no differences in temperature and flux rates when heaters were off (Fig. 2), confirming the direct, large effect of heating on belowground respiration processes.

Fig. 2: Ecosystem respiration in heated and control treatments.
Fig. 2: Ecosystem respiration in heated and control treatments.
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Average ecosystem CO2 respiration for each day of measurement in a 2015 June–September, b 2015 October shoulder season experiment (note different Y-axis scale), and c 2016 May–October. Values are averages ± standard error. N = 3–4 blocks depending on the day. Gray shading indicates periods when the heating treatment was not on (e.g., pre-treatment measurement periods).

Natural temporal variation in soil temperature was also significantly related to variation in respiration (Fig. 3). The temperature response estimated from natural seasonal variation, however, may be confounded by the covariance of temperature with other factors that influence respiration such as rainfall and plant phenology. Evaluating apparent Q10 across both warming treatments and time allowed us to explore how these estimation approaches influence the inferred temperature response. The apparent Q10 estimated from the heated-control treatment differences (treatment Q10 = 2.8, n = 79) was lower than that estimated from seasonal temperature variation of (1) the control plots (ambient seasonal Q10 = 6.9, n = 79), or (2) all plots (ambient seasonal Q10 = 4.1, n = 168) (Table 1; Fig. 3). For these cases, Q10 was evaluated for time points when the heaters were on. Thus, the temperature response inferred from ambient temperature variation was higher than that for the treatment effect for the same time points. Monthly Q10 values are shown in Supplementary Tables 1 and 2 and Supplementary Fig. 4. The average increase in respiration per °C of experimental warming was 0.10 μmol m−2 s−1 °C−1. Moreover, this treatment-based response rate and the treatment Q10 are a conservative estimate of response, since they are based on the warming at 10, 20, and 35 cm depths whereas there was less warming at 5 and 50 cm.

Fig. 3: Temperature sensitivity of ecosystem respiration based on treatment differences or seasonal variation, in 2015 and 2016 measurement periods.
Fig. 3: Temperature sensitivity of ecosystem respiration based on treatment differences or seasonal variation, in 2015 and 2016 measurement periods.
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Respiration versus soil temperature for control (triangle) and heated (circle) plots; shading indicates month. The lines show the CO2-temperature relationship for the best fit Q10 value for (1) Treatment Q10 (2.8, yellow line), calculated from heated-control respiration and temperature differences within each block and Eq. 4; (2) Seasonal Q10 (6.9, green line) using all control plot data, for days when heaters were on and Eq. 5; and (3) Seasonal Q10 (4.4, blue line) using all plots for days when heaters were on. May data were not used in the Q10 estimates because there was no heating treatment in that month. Temperature is the average of all 10, 20, and 35 cm sensors in a plot.

Table 1 The response of surface respiration to soil temperature, quantified by the apparent Q10 values and evaluated for the temperature difference in the heating treatment and for the ambient seasonal temperature variation

Based on radiocarbon values of respired CO2, respired carbon from heated plots was older than that from control plots in six out of seven measurements, suggesting that warming resulted in the loss of older ecosystem carbon (Supplementary Table 3, Supplementary Fig. 5), which could be related to the deeper thaw in the heated plots and greater bioavailability of older organic matter at all depths.

Instantaneous measurements of net ecosystem exchange (NEE) were negative (indicating carbon uptake) in both warmed and control plots on 11 of the 14 days on which they were measured (Supplementary Fig. 6), owing to carbon uptake by active vegetation. However, heating reduced net carbon uptake (NEE) slightly but significantly in summer (P = 0.041 summer months only, P = 0.061 all months; two-tailed paired t-test, Supplementary Fig. 6), accounting for changes in ecosystem respiration and in gross primary roductivity, which was slightly higher (more negative) in heated plots (P = 0.044 all months).

Methane fluxes were close to zero during the growing season (Fig. 4), consistent with measurements from high-centered and flat-centered polygons in other locations of the Barrow Ecological Observatory (BEO31). Heating reduced emissions, shifting the flux from low net emissions to low net uptake, perhaps due to near-surface drying and more oxidation, but the effect was not significant. Globally, non-inundated ecosystems are a sink of about 24 Tg C-CH4 y−1 for atmospheric CH432, and changes in this rate could have a meaningful impact on the global CH4 methane budget.

Fig. 4: Ecosystem CH4 flux for heated and control treatments.
Fig. 4: Ecosystem CH4 flux for heated and control treatments.
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Average CH4 fluxes for each day of measurement showing difference in CH4 between heated and control plots in a 2015 June-September, b 2015 October shoulder season experiment (note different Y-axis scale), c 2016 May–July, and d 2016 August–October (note different Y-axis scale). Values are averages ± standard error of n = 3–4 blocks. Gray shaded areas indicate periods when the heating treatment was not on (e.g., pre-treatment measurement periods).

Warming the plots during the October shoulder season led to a rapid increase in emissions (Fig. 4). The heaters were off between September 2 and October 14, 2015, allowing the upper 5–10 cm to freeze and a layer of snow and ice to accumulate on the surface. Within 2 days of turning the heaters on October 14, the surface soil warmed enough to partially melt the snow, forming visible holes in the snow and ice cover. This coincided with large releases of CO2 (Fig. 2) and CH4 (Fig. 4). CO2 fluxes from the heated plots increased from 1.37–1.96 μmol m−2 s−1 over the first 2 days of warming to a rate more than ten times the growing season heated average at 10.08–15.53 μmol m−2 s−1 the 3rd and 4th days. In contrast, October respiration in the control plots (0.30 μmol m−2 s−1; n = six sets of measurements over 4 days) was about half what it had been in the growing season. Likewise, CH4, emissions in heated plots increased to more than 100 times those in the snow-free season (24.53, 27.06, 70.75, and 146.91 μmole m−2 s−1), whereas control plots had a net CH4 uptake of −0.12 μmole m−2 s−1 during the same time period.

Discussion

Belowground warming had a direct, immediate, and large effect on tundra CO2 production. Respiration sensitivity to experimental warming was high (Q10 = 2.8, n = 79) in the growing seasons of the 2-year experiment and even higher in the October shoulder season. The effect was detectable within hours of turning the heaters on and remained nearly constant throughout the experiment. This result suggests the enhanced CO2 production was a direct physiological or thermodynamic response rather than due to ecosystem interactions like changes in nitrogen uptake, root growth, acclimation, substrate availability, or other phenomena emergent after longer-term warming. Increases in root exudation with warming33 have not been documented in the Arctic.

Several studies have examined the effect of warming on Arctic CO2 and CH4 fluxes (e.g.,34,35), including laboratory incubations (e.g.,3,10) and in situ manipulations (e.g.,14,36), but the magnitude and direction of responses vary among studies and sites. A synthesis of laboratory incubations found moderately high (mean Q10 = 2.0, 95% CI 1.8–2.2) temperature sensitivity of CO2 and CH4 emissions from permafrost ecosystems10, but this response is lower than our field results for CO2 (Q10 = 2.8). Similarly, incubations of soil collected near our warming experiment found a 40% increase in heterotrophic respiration due to 5 °C warming3. Most incubation studies look at relatively short-term responses, in the absence of plants, typically dominated by fast-cycling carbon pools (e.g.,37). (We consider our field experiment to be relatively short term as well.) Models have been used to infer the dynamics of slow-cycling pools in these studies3,38,39, but these inferences have large uncertainty (ref. 40).

Most in situ manipulative warming experiments in tundra have used the passive warming by OTCs12, which have a limited effect on deeper soils41,42. The International Tundra Experiment employing growing-season OTCs found moderate, ecosystem-dependent responses of ecosystem respiration to warming in the Arctic tundra (Q10 was 1.0–2.0 for dry ecosystems, lower for wet/moist ecosystems43). In contrast, CiPEHR manipulated tundra soil temperatures passively by changing snow depth, and found that warming the whole-active-layer by 1.5 °C (5–40 cm depth) led to 20% more growing season respiration44. Overall, meta-analysis studies, mainly of passive warming in OTC experiments, showed site-dependent (and minor on average) responses of ecosystem carbon pools or fluxes to warming in Arctic tundra. For example, Crowther et al.45, reported large warming-induced losses of soil carbon from carbon-rich ecosystems (including tundra), but this was not confirmed by an updated analysis46 with more sites, particularly in tundra. Similarly, a recent meta-analysis12 focused on Arctic tundra found a non-significant response of soil respiration and a weak response of ecosystem respiration to warming. Radiocarbon measurements of respired CO2 during lab incubations have shown that the whole soil profile can contribute to carbon-climate feedback in tundra because deeper and older C has the same temperature sensitivity as shallow and young carbon in the soil profile3. In general, previous field warming experiments that have only warmed surface soils (<20 cm) by a small magnitude (1 °C) have likely underestimated the effects of whole-active-layer warming on ecosystem carbon fluxes in the Arctic.

In our study, the temperature sensitivity based on paired measurements from heated and control plots (treatment Q10) was lower than that inferred from ambient seasonal temperature variability (seasonal Q10) at our site. The latter also reflects the covariance of temperature with thaw depth and vegetation carbon inputs over the season47. The effect of this covariance has rarely been quantified in the Arctic, but these results suggest that reliance on natural temperature variability overestimates Arctic sensitivity to warming. Nevertheless, even the lower temperature sensitivity of respiration derived from our manipulation was significantly higher than the soil Q10 of 1.5–2 imposed in many ecosystem models48,49.

Pulses of CO2 and CH4 emissions observed in the Arctic shoulder seasons are hypothesized to be the release of gases, which have accumulated in the talik, due to breaches in surface ice or snow cover25 and references therein). For example, in eddy covariance observations in the BEO, CH4 release followed a rain-on-snow event. The emitted greenhouse gases in our study had accumulated in the microbially active talik. Due to the timing of release, we concluded that the large pulse of CH4 and CO2 emitted in the October shoulder-season experiment was due to the physical effect of heating—melting the ice cap that had formed at the surface while the heaters were off for a month prior to the October warming—rather than to stimulating a very large amount of new microbial production. Climate warming, however, could do both: enhance microbial production in a warmer or long-lasting talik and create more frequent periods of rapid snow- or ice-melt.

Shoulder-season greenhouse-gas releases affect measurement accuracy and the magnitude of annual fluxes. For CO2, release of talik gases results in large time lags between CO2 production and release, and occurs outside the growing season when most measurements are made (refs. 19,22,23,26,27), increasing the likelihood of underestimating annual CO2 emissions. In the case of CH4, these pulses may allow CH4 that has accumulated in the subsurface to be released in a manner (i.e., through macro-channels or when methane-oxidizing bacteria are not fully active) that bypasses the CH4 oxidation that would occur in the growing season. For example, in flat- or high-centered polygons of the BEO, significant amounts of CH4 are produced in the saturated subsurface but oxidation in the drier surface soils results in very low emission rates that are about 10% of the CH4 emissions from inundated sites31. Similar observations have been made in other Arctic locations (e.g., Toolik Lake50 and others). As a result, the frequency and magnitude of shoulder season gas pulses may influence not only the timing, but also the total amount of annual CH4 emissions. This mechanism of release of gas trapped in the talik was confirmed by the progressive warming of a large, intact core in the laboratory25. Our study is the first controlled field confirmation of this hypothesis, showing that rapid thaw allows significant CH4 efflux at sites where the CH4-carbon would otherwise be oxidized and released as CO2.

Recent and projected climate trends in the Arctic show more intermittency in ice and snow cover, due to more rain-on-snow events (which have become more common over the past 30 years25, later formation of winter snowpack in fall, and higher frequency of spring warming events. Even steady warming can lead to more freeze-thaw events when superimposed on natural temperature cycles (e.g., bringing the warmer end of the cycle above freezing). These events will lead to higher Arctic CH4 emissions if, as we observed, they allow soil CH4 gas to be released to the atmosphere without being oxidized31,51. Development of ESMs is needed to more accurately predict rain-on-snow events and other rapid melt events, as well as to simulate talik formation and the influence of rapid thaw on CH4 emission vs. oxidation pathways.

This new approach to heating permafrost soil offered three advantages over previous methods. It (1) achieved deeper and greater temperature increases than reported for passive warming, (2) followed natural background temperature and rainfall variability better than snow manipulation or incubations, and (3) allowed for relatively easy setup in remote locations. The single heating rod thawed permafrost and deepened the active layer, but additional power input at depth would have helped achieve the target magnitude of warming at the permafrost boundary, and the addition of an OTC would improve warming of the vegetation and top 5 cm of soil. For the first 2 months, when the experiment was powered by batteries and only operated for about 1 week per month, it was run as a series of short incubation-like studies. Nevertheless, the microclimate of these open-air plots better matched natural variation compared to laboratory incubations, including diurnal temperature cycles and the effects of rain on temperature and moisture. If implemented long term, this experimental approach would likely cause significant subsidence, given the vulnerability of permafrost ground when warmed52.

The direct temperature sensitivity quantified by this experiment, an apparent Q10 = 2.8, is a good test of the prescribed, intrinsic Q10 for soil respiration in ESMs. It implies that the direct effects of warming on Arctic CO2 fluxes may be much larger than are prescribed in current ESMs. For example, in the CESM land model, CLM4.5, the soil decomposition Q10 is set to 1.549 and the inferred CCSM4 Q10 is 1.99. The inferred Q10 is the temperature response that emerges when all internal feedbacks are considered in the ESM simulations, and for CESM was estimated by fitting Eq. 6 to Arctic CO2 and surface temperature values for four Shared Socioeconomic Pathways (SSPs; see Methods and Supplementary Fig. 7), and is also similar to what has been inferred globally for a range of ESMs9,48.

To explore how our higher value might affect CO2 fluxes with climate warming in a global model, we projected CO2 respiration from the global Arctic tundra for 2015–2100, using either the Q10 of 2.8 or the inferred ESM Q10 of 2 calculated here for CESM (Fig. 5). For the initial fluxes, we used CESM Arctic ecosystem respiration in 2015, and then calculated these fluxes each year based on the Q10 (Eq. 6) and CESM soil temperature projections under the four SSPs; Extended Data Fig. 4). We limited our analysis to the tundra land category north of 66°N53. Although ESMs are likely over-simplified, we followed current ESM practice in applying the same Q10 pan-Arctic and over the century. The difference in Q10 between our experimentally determined value and that imposed a priori implies an additional 2.0–10.2 Pg CO2 y−1 on average in the period 2080–2100 (with much higher values in 2100), depending on the SSP.

Fig. 5: The effect of respiration temperature sensitivity on pan-Arctic ecosystem respiration over the 21st century.
Fig. 5: The effect of respiration temperature sensitivity on pan-Arctic ecosystem respiration over the 21st century.
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Annual Arctic-tundra ecosystem respiration from the year 2015 to 2100 calculated using a Q10 of 2 (solid lines; the inferred emergent sensitivity of CESM and similar to that of many other ESMs), or a Q10 of 2.8 (dashed lines; from this study) and projected temperatures from CESM. The color of the lines refers to the Shared Socioeconomic Pathway scenarios used to determine the change in soil temperature predicted in each year (as shown in Supplementary Fig. 7).

This simplified comparison illustrates the large impact that temperature sensitivity can have on future greenhouse gas fluxes. Moreover, it may be a conservative estimate of the impact since the inferred (i.e., emergent) temperature response of CESM (Q10 = 2) is higher than CESM’s intrinsic (i.e., prescribed for respiration) response (Q10 = 1.5), suggesting that if CESM implemented the intrinsic (Q10 = 2.8) measured in this experiment, the inferred, total temperature response of CESM would be even higher. This is not an analysis of long-term or vegetation-driven changes in ecosystem respiration, but rather of the impact of different intrinsic temperature sensitivities on respiration over a warming century. For example, because plant biomass and productivity were held constant, it omits the potential, countervailing impact of decomposition-nitrogen feedbacks that stimulate primary productivity. Nevertheless, if generalizable, the large temperature response observed here would on balance have significant implications for ecosystem-climate feedbacks. Moreover, we show that long-term or emergent ecosystem changes are not needed to produce a large response.

In conclusion, our findings support the hypotheses that (1) ecosystem respiration in this system is highly sensitive to warming, more so than current models or shallow warming studies report; (2) the direct effect of controlled warming on respiration is lower than the respiration-temperature relationship derived from seasonal temperature changes, meaning a reliance on ambient temperature variation, e.g., based on seasonal and weather-based variation, overestimates the sensitivity compared to a more controlled approach; and (3) CH4 produced under the frozen surface of Arctic soils can be released to the atmosphere during rapid melt events in the shoulder seasons, leading to higher CH4 fluxes by bypassing oxidation pathways that would occur during warmer months. The disparity between the ESM-prescribed temperature sensitivity for ecosystem respiration versus that measured in this controlled field manipulation implies that future carbon fluxes in a warming Arctic may be much larger than previously estimated.

Methods

Site description

The experiment was located in high-centered ice-wedge polygons at the Barrow Environmental Observatory (BEO) near Utqiaġvik (formerly Barrow), Alaska (71.3°N, 156.5°W), Fig. 6. Historic (1901–2007) Utqiaġvik mean annual temperature is −12 °C and mean annual precipitation is 113.5 mm with a short snow-free summer from June through September54. Soils are Cryosols (Gelisols) that are mostly Typic Aquiturbels, Typic Histoturbels, and Typic Aquorthels55. Continuous ice-rich permafrost underlies an active layer of 20–60 cm thickness depending on location across the BEO and year. The ice-wedge polygons are discrete landscape units formed from freezing and thawing processes56. The high portions of the individual flat- or high-centered polygons, roughly 10 m in diameter and separated by low-lying wet or inundated troughs, had dry, aerobic surface soils and sparse vegetation dominated by Luzula Arctica, Vaccinium vitis idaea, several moss and lichen species57, as well as Eriophorum vaginatum, Petasites frigidus, Salix rotundifolia, and other high arctic tundra species.

Fig. 6: Location of tundra-soil warming experiment and schematic for plot infrastructure.
Fig. 6: Location of tundra-soil warming experiment and schematic for plot infrastructure.
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a Map shows location of Utqiaġvik (formerly Barrow), AK, location of the Barrow Environmental Observatory (BEO) on the North Slope of Alaska. Background map credit: https://www.freeworldmaps.net/united-states/alaska/map.html. b Aerial image of plots on flat-centered polygonal tundra of the BEO. The dark area at base of each white teardrop is one experiment block comprising mesocosms, trail mat, and warming infrastructure. Source of underlying satellite image: Google Earth, July 2016, centered on 71°16′28.88″N, 156°37′59.26″W. Image © 2024 Maxar Technologies, Image Landsat / Copernicus. c Cross-section schematic of experimental plot. Each plot was instrumented with three temperature probes containing five thermistors each and one rod in the center (in heated plots the rod contained heater wire, indicated by red line). The rods were 60 cm long, inserted to a depth of 55 cm. d Aerial-view of the 25 cm diameter plots. The monitoring probes were 6 cm (M1) and 10 cm (M2) from the center. The regulator probe (Reg) used to control heating was 8 cm from center.

Experiment layout and pretreatment measurements

Four blocks were established in the center of four different polygons of roughly equal active layer depth (Fig. 6). On August 24, 2014, we installed two 25 cm diameter mesocosms in each polygon (block) for control and treatment plots. Each mesocosm was created by inserting a 45 cm tall PVC tube (open on top and bottom) vertically in the soil to span the full active layer depth at these sites (32–44 cm measured with a thaw-depth probe adjacent to the plots in 2015–16); each plot was delineated by the 25 cm diameter PVC ring which also isolated the mesocosm soil profile from the surrounding soil. A thicker PVC collar was glued to the top of each mesocosm’s PVC column. The collar had a 3 cm deep trench made to seat the CO2 flux chamber; during measurement, the trench was filled with water to make an airtight seal with the chamber.

The mesocosms were installed the year before the manipulation, to avoid disturbance effects and allow a year of pretreatment fluxes. There was no significant difference between control and pre-heated plots in CO2 respiration or microbial biomass; aboveground plant biomass was measured near the plots (next section). As part of an earlier study, this site had received a one-time 13C-labeled glucose amendment in 2014 equivalent to 0.1% of the SOC in the top 10 cm, but this carbon addition had no detectable effect on the metrics assessed in this experiment. For example, the glucose amendment had no detectable effect on ecosystem respiration (P < 0.12) measured 13 times in 2014 and spring 2015 or soil microbial biomass (P < 0.11) measured in fall 2014; we also confirmed that there was also no delayed effect of the amendment in 2016 by monitoring two additional amended polygons outside the heating experiment. We note, however, that residual 13C-CO2 was detected in 2015 with Keeling plots (Keeling, 1958) in low-glucose-addition plots (glucose addition plots: mean delta 13C = 8.55 per mil, standard deviation = 25.5 per mil, n = 8. Control plots: mean delta 13C = −23.9 per mil, standard deviation = 9.97 per mil, n = 40). The number of replicate blocks was four in the first year (2015) and first half of 2016 and was reduced to three blocks mid-way through the 2nd year (2016) due to malfunctions in the custom chips controlling the heating and temperature measurements.

Site characterization: soil carbon, microbial biomass, vegetation biomass

We harvested aboveground vegetation in August 2014 from one 25 cm diameter circle per polygon, near the mesocosms. Vegetation was sorted immediately into vascular and nonvascular (moss + lichen) components, oven dried at 60 °C, and weighed (Supplementary Fig. 8). Live-root biomass, determined in other BEO polygons (for Carex aquatilis, Eriophorum angustifolium, and Salix rotundifolia) is concentrated in the top 25 cm58. Soils were sampled from adjacent replicate plots on September 8 and 20, 2014 for analysis of organic carbon and nitrogen content and microbial biomass carbon determined by elemental analysis and chloroform fumigationextraction, respectively (Table 2).

Table 2 Summary of belowground soil measurements from soil cores collected in 2014

Warming manipulation

In June 2015, a 60 cm long vertical rod was installed in the center of each heated and control mesocosm (PVC tube). Heater cable in the rod extended 50 cm below the surface. We used a nickel-chrome heating element (Thermosoft Ultra Flexible Cable Heater; www.Thermosoft.net, IT0403-12: 12V, 1.0A, 12WT for 4 ft cable) run in a loop. Resistance was 0.5 ohm per cm for single wire; 1 ohm per cm for the loop. We used KONA 870FT-LV-DP heat-conductive epoxy cement to pot the heater cables in ¼ inch diameter, 0.035 inch wall, 1/8 hard seamless 316 stainless steel tubes. An insulated crimp connector at the bottom of the heater made the electrical turnaround inside the rod. Disturbance-control rods were constructed in the same way but without heater wire and installed into control plots. The layout of the heating rod and temperature probes is shown in Fig. 6.

The temperature probes and heating rods were installed by drilling a pilot hole (1.5–3.5 mm larger in diameter than the probe or rod), into the frozen permafrost (using a cordless rotary hammer drill (Bosch 36 V Li-Ion) and custom-length drill bits) and then inserting the probe or rod to the desired depth.

Temperature monitoring and heating regulation

Three temperature probes were inserted into each plot, at 6, 8, and 10 cm from the center of the plot (where the heating or disturbance-control rod was). The custom-made probes contained five thermistors between 5–50 cm depth (Fig. 6). The thermistors were glued along a nylon strip that was inserted into a butyrate tube, and the tube was filled with urethane. An improved version is documented in Léger et al.59.

Temperature and heating status (on/off) were logged and saved every 3 s in 2015 as we evaluated the system, and every 30 s in 2016 until mid-June and then at 5-min intervals for the rest of the season to save on memory. The probes at 8 cm distance from center (hereafter regulator probes) were used to control the heating. At each timepoint, if the depth-averaged temperature difference between regulator probes in a heated and unheated plot pair was <4 °C, the heater was turned on until the next measurement time point (e.g., 3 s) and reevaluated. If the temperature difference was ≥4 °C, the heating rod received no power. The temperature readings were aggregated to 1- or 2-h averages for plots and analysis.

The single vertical heating rod was able to warm the whole active layer and maintain the target temperature difference (Fig. 2). We maintained a temperature difference of 4.0 °C based on sensors averaged over 10, 20, and 35 cm depths (Fig. 1; Supplementary Figs. 2 and 3), and 3.8 °C median over all depths. The amount of warming at 5 cm depth was more variable and rarely reached 4 °C because of rainfall and heat exchange with the atmosphere. Peak active-layer depth averaged <50 cm in unheated soil, based on thaw depth probes and temperature sensors; in the absence of heating, 50 cm temperatures were <0 °C (Fig. 2; Supplementary Fig. 3). Heating brought the 50 cm temperature above 0 °C, indicating thaw of frozen ground and a deeper active layer. The temperature difference at 50 cm between treatments was less than 4 °C because energy was consumed by the phase change of thawing water in permafrost and energy could be advected by lateral flow of the newly thawed water (Fig. 1). For these reasons, average warming of the whole profile over all depths and plot area (all probes) was always lower than the set target of 4 °C. The infrastructure was adequate to heat the soils several degrees warmer if desired, however, by adjusting the heater settings.

Power

From June 27 to August 11, 2015, the heaters, temperature probes, and dataloggers were powered by two 12 V 110 amp-hour marine batteries. Drained batteries were swapped manually for charged units; thus, heating occurred only when the research team was in Utqiaġvik. After August 12, 2015, power was supplied by photovoltaic panels and the experiment operated nearly continuously during the growing season. For each block, two 123 W panels (Sharp ND-123UJF; 662 × 1499 mm) were connected to a charge controller to maintain charge on the batteries. The panels were mounted to a Unistrut frame anchored to permafrost, facing south at a ~70° angle to the horizontal.

To minimize power requirements, custom-made circuit boards controlled the warming and logged the data. Each board sampled and digitized 16 analog thermistor channels with a 24-bit analog-to-digital converter (ADS1243). Data were streamed via RS232/RS485 and WiFi as well as stored locally on three 1Gbit NAND flash chips. A low power Microchip microcontroller (PIC18F97J60) contained the firmware to control data acquisition, storage, communication, and control of the heater circuit. If a controller system malfunctioned, data from that block were not used for the time period that the heating or temperature monitoring were not operational. The interface for setup of system properties, deployment, and data downloading was initially via a custom iOS App running on an iPad. This was upgraded to a Gumstix Overo embedded Linux module and a Node.js web application to allow for a simplified interface and connection to a WiFi or wired network.

Carbon fluxes and flux isotopes

Surface fluxes of CO2 and CH4

Surface fluxes of CO2 and CH4 were measured using chambers 25 cm in diameter, vented to minimize pressure excursions due to the Venturi effect60, circulating through a Los Gatos Research, Inc. (LGR) Ultra-Portable Greenhouse Gas Analyzer (915-0011). We used opaque chambers to measure ecosystem respiration (surface respiration or Reco) and CH4 flux. We monitored headspace concentrations for 3–7 min and calculated the flux rate from the linear region of the concentration vs. time curve. Immediately prior to measuring respiration on some days, we measured fluxes with a clear chamber, to estimate NEE using the first 60 s of each measurement; after 60 s the drawdown rate decreased, possibly due to the drawdown of CO2 mixing ratios in the chamber or to fogging due to evapotranspiration. Flux measurements were measured before (2014, 2015) and during heating treatments in 2015 and 2016 (see Fig. 2 and Methods Section 2. “Experiment layout and pretreatment measurements”).

Radiocarbon (14C) of soil respiration

On August 5 and 30 in 2015 and May 23 and June 12, 2016, we collected CO2 from non-vented soil chambers for radiocarbon analysis. Samples were collected when the heaters were on. Briefly, after circulating chamber gas through soda lime for 20 min to remove CO2, we allowed CO2 to accumulate over 2–24 h, depending on the CO2 flux rate. Prior to sampling, we measured the CO2 concentration in the chamber by passing 30 mL of gas through a LI-820 CO2 gas analyzer (LI-COR, Inc.). Samples were collected in one or more 500–1000 mL evacuated stainless steel canisters connected to chamber sampling ports via capillary tubing. For atmospheric radiocarbon values we collected local air samples in 3000 mL stainless steel canisters on August 30, 2015, and May 25, 2016.

The CO2 from gas samples was cryogenically purified under vacuum, split for 14C and 13C analysis, and sealed in 6 mm quartz tubes at Berkeley Lab. Samples were analyzed at the Lawrence Livermore National Lab Center for Accelerator Mass Spectrometry, where CO2 was reduced to graphite on iron powder under H248 and 14C abundance measured using a HVEC FN Tandem Van de Graaff accelerator mass spectrometer. 13C/12C was analyzed on the UC Davis Stable Isotope Laboratory GVI Optima Stable Isotope Ratio Mass Spectrometer. Radiocarbon content Δ14C is reported as fraction of the modern NBS Oxalic Acid I (OX1) standard (F14C), and as deviations in parts per thousand (‰) from the absolute (decay-corrected) OX1 standard (Δ14C), following Stuiver and Polach (1977)49. Values have been corrected for mass-dependent isotopic fractionation using 13C measurements of the splits.

We corrected surface chamber radiocarbon measurements for atmospheric contamination (e.g., residual atmospheric air in the chamber headspace after scrubbing) using a previously published method61. Briefly, we determined the fractional contributions of background atmosphere and ecosystem respiration to the measured chamber gas using two-member mixing models with measured δ13C and Δ14C values as shown:

$$\delta^{13}{C}_{M}={f}_{{atm}}(-9.23{{\textperthousand }})+{f}_{R}(-24.41{{\textperthousand }})$$
(1)
$${\Delta}^{14}{C}_{M}={f}_{{atm}}({\Delta}^{14}{C}_{{atm}})+{f}_{R}({\Delta}^{14}{C}_{R})$$
(2)
$${f}_{R}+{f}_{{atm}}=1$$
(3)

Subscripts for M, atm, and R denote measured, atmospheric, and respired (net surface exchange), respectively. In 2015 and 2016, Δ14Catm = 15.1‰ and 10.1‰ respectively. These values were consistent with the Arctic atmospheric radiocarbon record and its recent 2–3‰ annual decrease62, with BEO values in the three preceding years of 22.2‰ (2012), 19.3‰ (2013), and 17.8‰ (2014). The δ13C of respiration (−24.41‰) was estimated as the minimum value (i.e., least atmospheric contamination) of the 12 plot measurements.

Data analysis and statistics: estimating Q 10 and E a

The effect of heating and the temperature sensitivity of CO2 and CH4 fluxes were calculated using measurements from which October 2015 (shoulder season experiment) were excluded. The warming treatment effect was evaluated with a mixed linear effects model, with block as a random factor (package nlme, https://cran.r-project.org/web/packages/nlme/citation.html, R Version 4.0.4). Treatment-effect Q10 was calculated as in63,

$${{{{\rm{Q}}}}}_{10}={\frac{{R}_{H}}{{R}_{C}}}^{10/({T}_{H}-{T}_{C})}$$
(4)

Where R is the CO2 production rate from the heated (subscript H) or control (subscript C) plots, and T is the corresponding temperature from the heated or control plots.

To estimate the response to natural temporal variation in temperature, we fit both a non-linear least squares (NLS; Eq. 5) and a linear (Eq. 6) regression relationship relating the observed temperature to the CO2 production rate. We fit two parameters, \(({R}_{0} \;{and}\; {k})\) in Eq. 5 or the equivalent (a and b) in Eq. 6, and the Q10 is a function of k (or b).

$$\left({{{\rm{R}}}}={{{R}}}_{0}{{{e}}}^{k{{T}}};{{{\rm{and}}}}\, {{{{\rm{Q}}}}}_{10}={{{e}}}^{10k}\right)$$
(5)
$$\log \left({{{\rm{R}}}}\right)={{{\rm{a}}}}+{{{\rm{bT}}}},{{{\rm{and}}}}\, {{{{\rm{Q}}}}}_{10}={e}^{10b}$$
(6)

We report the results of the NLS because it had lower residual standard error.

We also expressed the temperature sensitivity of CO2 production rate using the Arrhenius equation,

$${{{\rm{R}}}}=\alpha {e}^{-{Ea}/{RT}}$$
(7)

Where \(\alpha\) is the pre-exponential constant, Ea is the activation energy, and R is the universal gas constant. The activation energy is the minimum amount of energy needed for a chemical reaction. Similar to k (or b) in Eqs. 5 and 6, Ea is related to the temperature sensitivity, where reactions with high Ea are more temperature sensitive.

Data analysis and statistics: estimating effect of Q 10 on projected pan-Arctic CO2 respiration

To estimate how much more CO2 release would be expected from our measured temperature sensitivity compared to the commonly imposed Q10 of 2, we conducted a scaling exercise using model output from the Community ESM version 2. Model output was accessed from the Earth System Grid Federation (esgf-node.llnl.gov/search/cmip6). We downloaded CESM ScenarioMIP runs ssp126, ssp245, ssp370, ssp585, using realization r11i1p1f1 for the years 2015–2100 for all scenarios. Time series were originally monthly, but the months June, July, and August were averaged annually to create a time series where each year represents the temperature or ecosystem respiration of the 3-month growing season during which measurements were taken in this study.

Arctic tundra was subsetted using the map from the National Snow and Ice Data Center53, which was downloaded in 2.5 arcmin resolution and coarsened to fit the CESM model native 0.9 × 1.25 finite volume grid (192 × 288 latxlon) by assigning the larger CESM grid cell as tundra if the majority of higher resolution map grid cells in the defined area were tundra.

Modeled (CESM) soil temperature (Supplementary Fig. 7) was averaged across depth increments using weights fitted using an optimization function so that the average of the weighted depth increments was equal to the average of the measurement depth increments (taken at 10, 20, and 35 cm). Ecosystem respiration was calculated as the sum of autotrophic and heterotrophic respiration variables. Values were scaled up by multiplying the respiration rate for each grid cell by the ice-free land area of each grid cell and summing across latitude and longitude. The changes in soil temperature and ecosystem respiration were calculated by subtracting the soil temperature (or ecosystem respiration) in each year from the soil temperature (or respiration) in 2015, respectively. We estimated the apparent temperature sensitivity of ecosystem respiration predicted by CESM by fitting Eq. 6, where R = ecosystem respiration, and T = soil temperature averaged to match the depth increments from this study. This fit yields the same two parameters described in Eq. 5: the slope k which can be used to calculate Q10, and the intercept R0. Inferred Q10 using this fitting method ranged from 1.7 to 1.9 globally and from 1.8 to 2.6 in the Arctic tundra, depending on the SSP scenario. Using the fitted R0 for each SSP scenario and setting Q10 to values we are interested in, e.g., Q10 = 2 (to match the average Q10 across SSP scenarios for Arctic tundra), Q10 = 2.8 (to match the experiment results), we can estimate what the ecosystem respiration would be for each scenario with a given inferred long-term Q10. This inferred Q10 is not equivalent to the intrinsic Q10 of soil decomposition in the model, since the former includes the temperature sensitivity of other ecosystem processes that change with warming and over time (e.g., changes in plant inputs). Typically, the intrinsic Q10 (CLM4.5 Q10 = 1.5)49 is lower than the apparent Q10 (CCSM4 Q10 = 1.9)48. Thus, assuming the apparent Q10 of the Arctic is 2.8 likely gives a conservative estimate of respiration, meaning that the amount of carbon released in Fig. 5 for Q10 = 2.8 is likely much less than the amount of carbon released if we had set the intrinsic Q10 of the model to 2.8.