Introduction

Carbon markets allow individuals and corporations to offset their greenhouse gas emissions by purchasing carbon credits generated by projects that reduce greenhouse gasses elsewhere. Many projects create carbon credits through biological sequestration, such as afforestation and reforestation1. Restoring coastal ecosystems such as salt marshes to sequester carbon has potential for generating carbon credits2; however, estimates of salt marsh carbon accumulation rates (CAR) vary globally from 1.2 to 1167.5 g C m−2 yr−1 (average of 167.7 ± 136.5 g C m−2 yr−1; ± 1 SD)3. The large range of salt marsh CARs creates uncertainty in upscaling measurements, monetizing carbon credits, appraising the value of restoration and conservation projects, and would add speculation to the carbon market4.

Salt marsh has a great capacity for accumulating and storing atmospheric carbon in its soil as compared to other coastal and terrestrial vegetated habitats5. A large stock of carbon is stored below ground as salt marsh organic carbon and continuously accumulates over centuries to millennia6,7. Assuming CAR will remain constant, and the previously stored blue carbon will remain out of the atmosphere for climate-relevant periods is problematic8,9 because globally salt marsh is decreasing via conversion to other landscapes, such as open water or agricultural fields, at 1.0–2.0% yr−110. Salt marsh conversion is commonly associated with erosion of the carbon stock (the carbon stored in the salt marsh sedimentary unit) and re-release of carbon into the atmosphere10,11,12. The carbon stock that many salt marshes have stored is mainly a result of the rapid accumulation of organic-carbon rich sediments and conditions that promote preservation of organic carbon. Rapid vertical accretion of salt marsh sediments is driven by ecogeomorphic feedbacks that maintain surface elevation in the tidal frame by promoting sediment accumulation of both inorganic and organic fractions at rates equivalent to relative sea-level rise (RSLR)13,14. Preservation of organic carbon is optimized by the biogeochemistry of salt marsh soil that restricts oxic and suboxic degradation to shallow depths (<20 cm)15,16.

Salt marsh CAR variability has been shown to be broadly driven by regional differences in latitude (highest mean value at lower latitudes), tidal range (higher values in micro-tidal settings), elevation (higher values at lower elevations), and dominant halophyte genera (highest for Spartina alterniflora); however, saltmarsh CAR is still highly variable within regions3,6,17. The time scale over which salt marsh CAR is measured is the most important factor contributing to the large reported global range. Measurements that integrate over yearly to decadal short time scales using sediment-trap and marker-bed methods produce the highest values and span the entire two-orders of magnitude range18. Quantifying salt marsh CAR by integrating over short time scales skews values higher for three main reasons, including: (1) diagenesis of organic matter occurs during burial not short-term deposition16,19, (2) maximum belowground production of organic carbon (roots and rhizomes) is at shallow depths, typically <15 cm, which comprises most of the sediment from which short-term rates are based20,21, and (3) accelerating relative sea-level rise (RSLR) enhances salt marsh CAR3,8,22,23, and the average rate of sea-level rise over the past century was greater than the previous millennium24.

Salt marsh forms in a variety of low-energy estuarine settings such as fringing upland supratidal environments (forests) and colonizing intertidal substrates away from shorelines (tidal flats and oyster reefs) forming patches25. Fringing salt marsh, the most extensive estuarine salt marsh setting, is the focus of our study because it continues to form as RSLR inundates upland areas (if unimpeded by development) and it is typically targeted for restoration and conservation26,27,28,29. The two edges of fringing marsh include its contact with the upland and the estuarine shoreline, and both move laterally through time as the salt marsh responds to changes in water level, hydrodynamic energy, and sedimentation. The upland boundary of fringing salt marsh moves landward with RSLR (transgression) and if sediment supply is high enough, saltmarsh can also expand into the estuary (regression; Fig. 1). Salt marsh area increases with salt marsh transgression and regression and decreases with upland regression, shoreline erosion, and salt marsh submergence.

Fig. 1: Conceptual models illustrating fringing salt marsh ontogeny and carbon burial with sea-level rise.
figure 1

The shoreline of a regressive salt marsh moves into the estuary (basinward; a) and the landward edge of a transgressive salt marsh moves into the upland (landward; b) with sea-level rise from time 1–2. These models represent the types of salt marshes examined in this study; however, other salt marshes are accreting at rates <sea-level rise, have eroding shorelines, or are expanding in both landward and basinward directions. A typical down-core profile of carbon storage in a salt marsh (c) illustrating the higher and lower carbon accumulation rates that result from integrating over short (0–25 cm) and long (0–60 cm) intervals and associated time scales, respectively. Depths shown are hypothetical and vary among and within salt marshes.

Salt marsh transgression rates are principally modulated by the upland surface gradient and the rate of RSLR because those factors determine the landward extent of soil salinization, which leads to forest degradation and salt marsh encroachment30,31,32,33. Storms have also been recognized as important drivers of salt marsh transgression by facilitating tree mortality, inundating forest soil with saline storm-surge water, and producing shallow subsidence through organic matter degradation32,34,35. At the upland boundary, RSLR provides the space (accommodation) for salt marsh sediment to accumulate in. The salt marsh estuarine shoreline moves landward as it is eroded by waves and currents, but it can also regress into the estuary. Salt marsh regression is primarily controlled by base level, sediment supply, and nearshore bathymetry. Sediments accumulate below base level, and in estuaries the depth of base level is primarily controlled by wave base, tidal currents, and relative sea level. Elevating base level through RSLR and decreasing hydrodynamic energy adjacent to the salt marsh shoreline produces accommodation for sediments to accumulate in. This accommodation is initially filled with tidal-flat sediments that can raise the elevation of the sediment surface to a level conducive for salt marsh colonization and regression36,37. At the regressive shoreline, salt marsh initially forms at its lowest possible growth elevation and sediment accommodation is at a maximum, in contrast to the upland boundary where salt marsh initially forms at its highest possible growth elevation and sediment accommodation is at a minimum and limited to RSLR.

Spatial and temporal variations in salt marsh sediment accommodation, which is strongly linked to the ontogeny of a salt marsh, should be reflected in salt marsh CAR. We hypothesize that the large range of salt marsh CAR integrated across various time scales of measurement within regions is masking well-defined globally relevant patterns related to ontogeny, landscape setting, and RSLR. To test this, we collected a transect of cores from the upland boundary to the estuarine shoreline at seven microtidal fringing salt marshes in North Carolina, U.S.A. By applying a consistent method for measuring CAR that includes the entire salt marsh sedimentary unit, here, we show clear spatial and temporal patterns exist that are directly related to salt marsh ontogeny. Explaining the drivers of salt marsh CAR variability, beyond broad regional groupings and time scales of interest, is important for accurate carbon pricing and qualifying expectations for the effectiveness of restoration projects at mitigating greenhouse-gas emissions through time.

Results and discussion

The transgressive (n = 3) and regressive (n = 4) salt marshes (Fig. 2) were initially defined by stratigraphic patterns, with a salt marsh unit overlying an upland soil being transgressive and a salt marsh unit overlying an adjacent estuarine mudflat or sandflat being regressive. Every core (n = 51) sampled the entire salt marsh, underlying Holocene strata, and the top of basal undifferentiated Pleistocene strata (Supplementary Fig. 1). Regressive salt marshes were separated from the upland by a 1–2 m step, had a mean width of 53 ± 24 m (1 SD), and most were dominated by Spartina alterniflora (not NPR-U; Fig. 2; Table 1). Transgressive salt marshes were dominated by Juncus romarianus, had a low gradient upland boundary transition zone, and a mean width of 338 ± 244 m (1 SD). The average surface elevation at coring locations were higher for regressive sites (0.36 ± 0.25 m NAVD88; 1 SD) than transgressive sites (0.16 ± 0.07 m NAVD88; 1 SD; p = 0.01) excluding outlier regressive site SRE-D (Table 1). The carbon content of the salt marsh units generally decreased with depth and from the surface to ~20 cm depth was higher at transgressive than regressive sites (Fig. 3; Supplementary Data 1). Salt marsh CAR was measured on a subset of the cores (22) by measuring the carbon stock (Cs; g C m−2), constraining the period during which the carbon stock accumulated (Cp; years) by radiocarbon dating the base of the salt marsh peat and inspecting historical aerial photographs (see methods), and applying the equation CAR = Cs/Cp. Sites with multiple dates along the transect show that the age of transgressive and regressive marsh units increase and decrease towards the basin, respectively.

Fig. 2: Location of study sites in North Carolina, USA.
figure 2

Transgressive and regressive fringing salt marsh sites are located north and west of Cape Lookout, respectively (a). Representative topographic profiles (b) showing low gradient upland and wide salt marsh at transgressive sites (Nelson Bay NB) and high gradient upland and narrow salt marsh at regressive sites (Newport River Estuary NPR-D). The Tump Point sea-level curve is indicated by the green star38.

Table 1 Sampling site information and marsh sedimentary unit measurements.
Fig. 3: Marsh stratigraphy and carbon profiles.
figure 3

Transgressive and regressive salt marshes show a deepening-upward35 (a) and shallowing-upward (b) sequence of depositional environments, respectively. The green asterisks mark dates of salt marsh initial colonization. Vertical profiles of carbon at transgressive site Jones Bay (c) and regressive site Newport-downstream (d). See cross sections, above, for profile locations. Points are plotted with bars displaying 95% confidence intervals for carbon and the sampling interval for depth (error bars <symbol size not displayed). See Fig. 2 for transect locations and Supplementary Data 1 for additional information on dates and subsamples.

Temporal and Spatial Changes in Salt Marsh CAR

Salt marsh CAR is directly linked with the rate of RSLR, which accelerated from 0.9 mm yr−1 to 2.4 mm yr−1 at the end of the 19th century at our sample locations8,23,38,39 (Fig. 4). The first salt marsh to colonize the substrate ranges in age from 772 to 15–years, extending across the period of accelerating sea-level rise. We binned CAR values into measurements made over periods >120–years from present (n = 13) that includes salt marsh strata that formed during slow and rapid sea-level rise and <120 years from present that includes salt marsh strata that formed entirely during rapid sea-level rise (n = 9), with present being the year of core collection (Table 1). For the transgressive and regressive salt marshes that initially formed >120 years ago, mean CAR was 41.1 ± 17.2 g C m−2 yr−1 (1 SD) and increased with decreasing formation age following an exponential relationship (Fig. 4). The change in CAR through time is mainly the result of the younger salt marsh units being composed of proportionately less degraded organic material that accumulated more rapidly than the older salt marsh units. As RSLR accelerated during the late 19th century, the salt marshes experienced increased flooding, which stimulated plant growth and promoted carbon-rich sediment accumulation8,40. The younger upper strata within the salt marshes that are >120 years in age is composed of carbon-rich sediment that accumulated more rapidly during the 20th century under conditions of rapid RSLR than the older lower salt marsh strata.

Fig. 4: Carbon accumulation rates (CAR) of transgressive and regressive salt marshes increase with decreasing age of initial colonization.
figure 4

At the end of the 19th century, relative sea-level rise (RSLR) accelerated to 2.4 mm yr−1 (grey line ±95% confidence interval)38 and promoted higher rates of salt marsh vertical accretion and CAR over the last 120 years than previous centuries. The CAR of young salt marsh (<120 years) measured near migrating edges is high and variable due to the greater accommodation from subsidence and water depth at landward and basinward margins, respectively, that promoted rapid accumulation of carbon-rich sediment35. Each point on the graph represents an individual core. The exponential curve is based on the samples younger than 1900 CE. Symbols are plotted at the median calibrated age and error bars represent 95% confidence intervals (error bars <symbol size not displayed). Study sites are differentiated by symbols with JB Jones Bay, LB Long Bay, NB Nelson Bay, NPR-U Newport River upstream, NPR-D Newport River downstream, SRE-U Shallotte River Estuary upstream, and SRE-D Shallotte River Estuary downstream. See Fig. 2, Table 1, and Supplementary Data 1 for additional information.

The CARs of the nine transgressive and regressive salt marshes that formed since 1900 CE and accumulated carbonaceous sediment only during the period of more rapid RSLR were generally higher and more variable (range = 323.4−13.9 g C m−2 yr−1; mean = 139.4 ± 80.7 g C m−2 yr−1; 1 SD) than the older salt marshes (Fig. 4). The two samples with lower CAR values (<90 g C m−2 yr−1) were obtained from regressive salt marsh NPR-D at the center of the platform and near the upland edge away from the migrating shoreline, and follow that same exponential relationship observed for the older salt marsh units (Fig. 4). The six samples with variable CAR values >112 g C m−2 yr−1, however, are from the youngest transgressive site (NB; n = 3), young areas of transgressive salt marshes positioned close to the migrating upland edge (sites JB and LB; n = 2), and the youngest area of regressive salt marsh NPR-D close to the migrating salt marsh shoreline (n = 1). This suggests spatial variability in CAR, integrated over the last 120 years, exists across salt marsh platforms, and is a product of marsh ontogeny. The young sample from regressive site SRE-D is an exception because it has the lowest CAR of all the salt marsh samples that formed since 1900 CE (55 g C m−2 yr−1), despite it being obtained close to the migrating shoreline (~3 m away) like the core from Site NPR-D with the highest CAR. Unlike the other salt marshes, Site SRE-D is degrading, as evidenced by its low elevation ~40 cm below the other regressive salt marshes (Table 1; Supplementary Fig. 1).

The CAR values are high in the young transgressive salt marsh (Site NB), near the landward edge of transgressive salt marshes that have been in existence for centuries (sites JB and LB), and near the seaward edge of young regressive salt marshes (Site NPR-D but not degrading salt marsh SRE-D; Fig. 4). Neither variations in vegetation type nor elevation can explain those observations because at each site vegetation type was consistent among sampling locations, there is no relationship between our measurements of CAR and surface elevation (R2 = 0.02; p = 0.53), and the assumption that the marsh surface elevation in relation to the tidal frame was constant from initial colonization to present is not valid for regressive salt marshes. Sediment accommodation is different near migrating edge locations than the middle of the salt marsh platform, where CAR values follow an exponential relationship and sediment accommodation is mainly created by regional RSLR. For transgressive marshes, migration occurs into palustrine wetlands dominated by evergreens (pocosins)41. As sea-level inundated the pocosin, soil salinization caused the living root network to die, decay, and subsequently compact, which resulted in localized subsidence34,42. That localized subsidence decreased through time35 and provided sediment accommodation in addition to what was being formed by more regional RSLR. The high CAR values at the young transgressive Site NB and the landward edge of sites LB and JB, which have only been salt marsh since ~1957 CE, resulted from the salt marsh rapidly infilling accommodation space with carbon-rich sediment over multiple decades.

The other mechanism for marsh area expansion is featured by the regressive salt marsh NPR-D. In this case, migration occurs into the estuary and salt marsh plants initially colonized low unvegetated tidal-flat substrate at the salt marsh plant minimum threshold elevation (Fig. 3). The colonial salt marsh vegetation became established low in the tidal frame where inundation time was high, allogenic sediment supply was high, and accommodation space was high. Those conditions initially led to the rapid accumulation of salt marsh sediment at site NPR-D and elsewhere in the estuary37 over several decades, thus corresponding to high CAR values integrated over a multi-decadal time scale.

At the leading migrating edge of transgressive and regressive salt marshes, CARs are at a maximum because accommodation space is high and rapid colonization of new substrates preserved carbon by quickly burying organic material and limiting degradation43. Eventually, CAR decreases within a static unit of colonial marsh as it matures into interior marsh when its surface accretes to higher elevations within the tidal frame, and the marsh edge continues to transgress or regress away. This is indicated by the lower CAR values measured in the interior marsh, which has been dissociated from the leading edges.

Temporal and spatial changes in carbon density

The nature of our approach for studying salt marsh carbon stocks, with a focus on measuring CAR, could be masking other spatial and temporal variations in carbon burial. This is because rapidly accumulating salt marsh with a low carbon content can have the same CAR as a slowly accumulating salt marsh with a high carbon content. To address this, we compared the carbon densities (kg C m−3) of the salt marsh units (see methods). The range of carbon densities varied between 9.2–30.1 kg m−3 and the average carbon density of regressive marsh units dominated by Spartina alterniflora (12.1 ± 3.2 kg m−3; 1 SD) was lower (p = 1.4 × 10−6) than transgressive marsh units dominated by Juncus romarianus (23.6 ± 3.5 kg m−3; 1 SD; Fig. 5). Salt marsh regression requires deposition of lithogenic sediment at the shoreline to raise the elevation of adjacent flats, form intertidal substrate, and make conditions habitable for salt marsh grasses. Salt marsh transgression only requires RSLR; therefore, the greater supply of lithogenic sediment to regressive salt marshes results in overall lower carbon densities as compared to transgressive salt marshes.

Fig. 5: Carbon density vs. salt marsh age.
figure 5

The carbon density of salt marsh sediment is higher in transgressive than regressive salt marshes. As the age of regressive and transgressive salt marshes increased and decreased, respectively, carbon density increased. The oldest areas of regressive salt marshes and the youngest areas of transgressive salt marshes are positioned at the upland boundary, indicating the carbon density of salt marsh sediment progressively increases in a landward direction from the estuary. Shapes are plotted at median values and error bars represent 95% confidence intervals (error bars <symbol size not displayed).

Both regressive and transgressive salt marshes had predictable trends in carbon density with age (Fig. 5). The carbon density of regressive marshes was directly related to the age of the unit while transgressive marshes were inversely related. This shows that carbon densities are highest near the landward edge of both types of fringing salt marsh because the age of regressive and transgressive salt marsh units increase in landward and seaward directions, respectively. The trend of increasing carbon densities in a landward direction is likely due to the different sources of sediment available for salt marsh accretion across the platform. Lithogenic sediment is mainly supplied to all salt marshes from adjacent riverine or estuarine water bodies and is preferentially deposited near the shoreline causing sediment concentrations of floodwater to decrease landward44. In contrast to shoreline areas, the landward edge of fringing salt marsh near the upland is supplied with more organic carbon from a variety of sources in addition to decaying grass, such as leaf litter from the forest canopy45 and wrack deposited during storms46.

Carbon budgets for coastal areas and salt marsh carbon stock assessments commonly disregard temporal and spatial variations in CAR across and among salt marshes17,18. The spatial and temporal trends in salt marsh CAR, documented here, should exist globally when superimposed on the large-scale variability from differing latitude and tidal range17. Along the shoreline of regressive salt marshes where salt marsh grasses colonize low-elevation substrate and the landward edge of transgressive salt marshes where soil salinization causes increased subsidence, CARs are >200% higher than interior locations where the salt marsh units are older. Additionally, CARs are higher in younger marsh units because of accelerating RSLR at the end of the 19th century that promoted rapid accumulation of carbon-rich sediment. Salt marsh areas influenced by accelerating RSLR, high subsidence rates at the landward edge, and that recently established on low-elevation substrate near the shoreline have abundant vertical space within the intertidal niche that is rapidly filled with carbon-rich sediment. Those conditions are conducive to high CARs but only to a point. There is an upper limit to the rate of RSLR that a vertically accreting salt marsh can keep up with13, and when exceeded the salt marsh will experience increased erosion, lose much of its carbon stock, and transition to a subtidal flat seascape.

The landward edge of transgressive salt marshes and seaward edge of regressive salt marshes have the highest CARs, and these areas are severely impacted by humans. Armoring the landward edge of salt marsh with a bulkhead or revetment prevents transgression, removes the upland transition zone where we documented some of the highest CARs, and increases erosion47,48. In 2010, 14% of the tidal shoreline in the U.S.A. was hardened and that number is expected to double by 2100 CE49. Salt marsh shoreline erosion is increasing due to human impacts that are shifting estuarine conditions towards higher hydrodynamic energy from increased boat wakes50 and dredging activities51. In addition, wave attenuation in estuaries has been reduced from the loss of shallow-water foundation species such as submerged aquatic vegetation52 and oyster reefs53, which makes salt marshes less resistant to erosion during storm events54. Anthropogenic modification of watersheds can increase sedimentation in estuaries55 and form regressive marshes that would not exist in a natural state, and if sediment loads decrease in the future, these young salt marshes will likely deteriorate56. Scaling salt marsh restoration and conservation efforts to offset a specific amount of greenhouse gas emissions should not be based on average CAR values for a given region because salt marsh ontogeny, age, landscape setting, and proximity to the upland drive the large spatial and temporal range of CARs and carbon densities. Projections of salt marsh carbon stocks and burial rates with accelerating sea-level rise57 and growing coastal populations must include information on the spatial and temporal variability of CARs to be accurate.

Methods

Site location and sampling

North Carolina has ~800 km2 of salt marsh mainly fringing estuarine shorelines58. North of Cape Lookout (CL), the slope of the upland forest along estuarine shorelines is generally lower (~<0.004) than south of CL (~1.0). As sea level rose during the Holocene and inundated upland areas, the difference in lower coastal plain morphology promoted wide (>200 m) and narrow (<80 m) fringing salt marshes to form northeast and west of CL, respectively. We chose three transgressive salt marsh sites north of CL with ramp-like upland boundaries where the salt marsh progressively colonized coastal forest, including Jones Bay (JB), Long Bay (LB), and Nelson Bay (NB)35 (Fig. 2 and Supplementary Fig. 1). We also chose two regressive sites south of CL with scarp-like upland boundaries where salt marsh expanded into the estuary and progressively colonized mud flats, including Newport River (NPR) and Shallotte River (SR). At the regressive sites, we sampled along two transects positioned in the upstream (U) and downstream (D) parts of the estuary. The sites north of CL and NPR-U were composed mostly of J. romarianus with a thin (<5 m) rim of S. alterniflora at the seaward boundary and the samples came from areas composed of J. romarianus. NPR-D and SR-D were composed of only S. alterniflora and SR-U is mostly S. alterniflora with a narrow (<5 m) rim of J. romarianus at the upland boundary and the samples came from areas composed of S. alterniflora.

Each transect of cores extended perpendicular from the salt marsh shoreline to the upland boundary. The salt marsh surface elevation along the transects and the position of each core was surveyed using a Trimble R8 RTK-GPS receiver and the North Carolina Virtual Reference System with an average vertical error ±2–3 cm and horizontal error of <1 cm. Cores were collected using a 7.6 cm diameter aluminum irrigation pipe connected to a cement vibrator and averaged 3 m in length. All 55 cores we collected for the study sampled the entire salt marsh unit.

Sample processing

Cores were split in half lengthwise, one half was used for measuring the amount of organic matter in the sediment, and the other half was photographed, described, and subsampled for foraminifera and plant material for radiocarbon dating. All subsamples were collected from the center of the core to avoid contamination with material that may have been displaced along the interior surface of the tube during the coring process. Cores with upland peat below the salt marsh peat were subsampled at 1 cm (1 cm3) intervals for the presences of foraminifera to identify the contact between the two units35. Subsamples were washed with deionized water through a 2 mm sieve to separate larger plant matter and through a 63 μm sieve to separate foraminifera. Samples were then inspected wet under a microscope.

We subsampled 8 cm3 at the base of the salt marsh peat unit for radiocarbon dating from 14 transgressive marsh cores (six at JB, eight at LB, and four at NB) and eight regressive marsh cores (three at NPR-D, two at NPR-U, two at SR-U, and one at SR-D). We chose stems or leaves that were horizontal in the core for analysis to ensure subsamples were preserved in-situ. The National Ocean Sciences Accelerator Mass Spectrometry Facility at Woods Hole Oceanographic Institution radiocarbon dated the subsamples, and we calibrated the ages to calendar years using CALIB 7.159,60 or CALIBomb61,62. Many of the calibrated dates provided multiple possible date ranges (2 SD) and we generally chose date ranges with the highest certainty unless other information, like stratigraphic position or aerial photography provided a better estimate. Salt marsh age is the difference between the year of core collection (2018 or 2019; see Table 1) and the date of initial colonization.

To determine the organic content of the salt marsh sediment, we used the loss on ignition (LOI) method63. The cores were subsampled continuously by slicing 8 cm3 cubes out of the center of the cores. In some instances, at the base of the salt marsh, subsamples were <8 cm3 to avoid including underlying material in the measurement. Subsamples were dried at ~105 °C for at least 16 h before being weighed to obtain an initial dry mass (g). Samples were then combusted at 550 °C for 4 h and then weighed again to obtain ignited mass. The LOI (%) was calculated using the equation: ((dry mass-ignited mass)/dry mass) × 100. The percent organic matter from LOI was converted to percent organic carbon (CCraft) using the regression equation: (0.40 ± 0.01) LOI + (0.0025 ± 0.0003) LOI264 developed from salt marsh samples obtained close to our sites. The percent organic carbon of each subsample was converted to g C m−2 by: (((CCraft/100) × dry mass)/sample volume) × 10,000. To calculate the carbon stock sampled in each salt marsh core, we summed the carbon measurements of the continuous subsamples (g C m−2) to the base of the salt marsh unit. Carbon density (kg m−3) is the carbon stock divided by the thickness of the salt marsh unit and the carbon accumulation rate is the carbon stock divided by the age of the salt marsh.

Reporting summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.