The Intergovernmental Panel on Climate Change (IPCC) is the leading international body for the assessment of climate change. One of the IPCC's main activities is the preparation of comprehensive Assessment Reports on the state of scientific, technical and socio-economic knowledge on climate change, its causes and potential impacts, and on response strategies in preparing national inventories of Greenhouse Gas (GHG) emissions by source and removals by sinks. Wetlands are very important ecosystems, due to their accumulation of more than 30% soil carbon (Bridgham et al. 2006; Parish 2008; Windecker 2019) and are included in the GHG reports.
Soils of organic origin, including wetlands, cover 3–5% of the land surface (Mitsch & Gosselink 2007; Davidson 2014; Ciężkowski et al. 2020) and accumulate on average as much as 547 Pg of carbon (Pullens et al. 2016). Wetlands are extremely vulnerable to climate change, and hence to changes such as rising temperatures or decreasing rainfall. Due to the large accumulation of carbon in the peat, depending on the thermal and humidity conditions, they can be either a source of GHGs or a place for their accumulation, mainly CO2 and CH4 (Canadell et al. 2011). It is currently estimated that almost 6% of global anthropogenic CO2 emissions come from wetlands (IUCN reports).
There is a strong need to combine the research on carbon fluxes at the different peatlands across different regions. The objectives of the Regional Carbon Cycle Assessment and Processes (RECCAP) (Canadell et al. 2011), covering international carbon cycle research, were to establish the mean carbon balance of large regions of the globe at the scale of continents, but there is the need to provide higher spatial resolution and evaluate the regional ‘hot spots’ of interannual variability and trends by fulfilling the growing demand for the capacity and establish a global carbon observation strategy (Ciais et al. 2010).
The Net Ecosystem Exchange (
The commonly used methods of measuring
The objective of the study carried out at the wetlands of Biebrza was:
to measure the stream of net ecosystem exchange ( to model to apply the remotely sensed soil-vegetation parameters from satellite data for each pixel covered by wetlands vegetation to compare the eddy covariance measurements to the results obtained through modelling, applying chamber measurements.
The Biebrza Wetlands are located in Central Europe, in the north-eastern part of Poland. The marsh area is located in the Central European Lowlands, the appearance of which was dominated by the last glacial period. There are many fluvioglacial deposits here, which influence the present landscape, also shaping the water relations and, consequently, the flora and fauna of the region (Okruszko 1990). Under the Biebrza Wetlands, there are impermeable strata – smelting depressions left by the ice sheet that caused the creation of the marshes. The species composition of wetlands is extremely diverse (both in terms of flora and fauna), even unique in Europe – there are more than 70 natural and semi-natural plants, including sedge, sedge-moss, reed communities, and mineral islands. For this reason, this area is guarded by numerous conventions, including Natura 2000 and RAMSAR (since 1995), as well as being placed under Polish protection as a National Park in 1993. The legally protected area covers a total of 59,233 ha, in which 15,547 ha of forests, 18,182 ha of agricultural land and 25,494 ha of wetlands (the most valuable habitats of the park) can be distinguished. The main source of water for the fen is the Biebrza River. It spreads widely at higher water levels, with a small slope where it flows into the larger river – the Narew (Batelaan et al. 2009; Berezowski et al. 2019).
Due to the large diversity of flora and fauna, as well as the relatively small transformation of the area by humans (first started about 150 years ago and continued for 50 years in the 20th century), the peat bog system on the Biebrza River is characterized by its wide range and its diversity, both in terms of species and depth, and is thus associated with a large carbon capacity. Unfortunately, there has been a gradual degradation of some parts of the Biebrza Wetlands, caused by both climate change and direct human interference (Kleniewska et al. 2009). For this reason, research on the current carbon balance in this area is extremely important, both from the local and pan-European point of view.
The work consists of several stages: collecting field data for the years 2015–2022, data analysis, modelling based on the collected measurement parameters, and the preparation of maps, applying satellite indicators.
Data were collected during the growing season (between April and October) in the years 2015 to 2022. They consisted of meteorological measurements (air temperature, air humidity,
Figure 1
Study area – Biebrza National Park and its buffer zone. Localization of measurement points: grasslands – bright green; reed communities – green; sedge communities - purple; red dots – measurement points. The background is a mosaic of Sentinel-2 images for Poland which was prepared in 2020. Available via WMS (IGiK, 2020)
Source: own elaboration

Field measurements were performed every 2 to 3 weeks, and were closely related to the flights of satellites Sentinel-1 and Sentinel-2. At each measurement site, the following measurements were performed:
Carbon balance using the chamber method ( Soil moisture at measurement sites using TRIME-PICO, and stationary soil moisture using Decagon GS3 probe at eddy covariance tower site (Dąbrowska-Zielińska et al. 2018).
The carbon flux measurements were performed in two ways: the first by the chamber method and the second by the eddy covariance method. CO2 fluxes are widely measured using the chamber method (Dugas 1993; Livingston & Hutchinson 1995; Jensen et al. 1996). CO2 fluxes over wetlands have been measured by Chojnicki et al. (2010). In the study, the measurements were carried out simultaneously in two chambers: a transparent chamber and a covered (by dark material) chamber. Both chambers were made of plexiglass. Similar methodology has been carried out by Rychlik & Dąbrowska-Zielińska (2011). In their study, CO2 was measured in one chamber: 6–10 minutes in a transparent chamber (simulating the daytime) and in the same chamber covered by dark material. A different method of chamber measurements is to measure CO2 in one chamber all night and then all day (Juszczak et al. 2012). All of the mentioned methods also consist of the measurement of the soil temperature outside the chamber (next to it). Chamber measurements were carried out in the standard manner provided for this method. In this study, changes in CO2 concentration over vegetation in the closed chamber were observed, as well as the air temperature. A Senseair sensor was used for the measurements. The entire measurement took 16 minutes: 8 minutes in conditions of solar energy influx and 8 minutes after darkening the chamber. On the basis of the first 8 minutes, the Net Ecosystem Exchange was determined. Data collected during the next 8 minutes was used to determine Total Ecosystem Respiration. Gross Primary Production, representing the total CO2 amount absorbed by vegetation, was calculated as the difference between
Another popular way to measure CO2 fluxes is the eddy covariance method, in which the net transport between the surface and atmosphere is calculated by the covariance between the turbulent fluctuations of the vertical wind and the quantity of interest (Foken et al. 2012). Measurements at the EC tower were performed continuously, also from April to October. It should be noted, however, that some measurements in this method are omitted due to numerous disturbances (e.g. too low wind speeds, contamination of sensors, power supply problems at a point distant from the buildings). Therefore, the results from the tower served mainly to refer the EC measurements to the chamber measurements done in the different conditions of the habitat's sites.
Soil moisture measurements were conducted using TRIME-PICO devices. These mobile probes also measure soil conductivity and temperature. The measurements are carried out in the top layer of soil, up to 10 cm in depth. Information on soil moisture is important for estimating soil-water conditions – in particular, the phases of water demand by plants. Water availability is related to pluvial conditions, the ability of the soil to retain water and the water conditions of habitats. These conditions result from how water feeds the habitat, and the relief and hydrogeological conditions of the area. Next to the EC station, there is a station for measuring soil moisture, in stationary mode, at four different depths – 5 cm, 10 cm, 20 cm, 50 cm. Measurements are made at a frequency of one every fifteen minutes. In addition to the soil moisture itself, the soil temperature, soil dielectric constant and soil electrical conductivity are also measured – the latter two parameters have not been used directly in this work.
One of the most important parameters measured in the Biebrza Wetlands were meteorological parameters. The station was located on a flat, homogenous marshland site within the Biebrza National Park, and covered unmanaged sedges with moist organic soil. The following parameters were measured: photosynthetically active radiation (
Figure 2
Maximum values of PAR across daytime in growing season months
Source: own elaboration

Figure 2 presents
The exchange of plant carbon with the environment takes place in the photosynthesis process and consists of three stages: gross primary production (
Figure 3 illustrates the chamber measurements of
Figure 3
Chamber measurements of CO2 flux on Biebrza Wetland in the period 2015–2022 in monthly cross-sections (means and twice standard deviation)
Source: own elaboration

The monthly quantity of observations in the period May–September is about 30 for sedges and grasses, and for reeds it is about 10. In April and October, the quantity is about 10 monthly for every habitat.
GPP calculated from (1) as the difference between the measurements from transparent and dark chambers is the instant gross photosynthesis productivity. The chamber measurements took place at different times of day and may not represent the daily values of CO2 fluxes exactly. The simulation of the daily course of GPP was performed as a function of PAR. The dependency followed the Michaelis-Menten equation which is described, used and modified by many researchers (Dąbrowska-Zielińska 2022).
The set of
Analogously, the indices from Sentinel-2 representing vegetation greenness and moisture –
The excretion of CO2 by the ecosystem into the atmosphere comes from the respiration of living organisms, both in plants and in the soil. There are many factors contributing to this phenomenon, the main ones being air temperature, soil temperature, soil moisture and the respiratory capacity of growing plants. The commonly used formula is from Lloyd & Taylor (1994), based on air temperature measurements, taking into account the specificity of vegetation and the phases of their development through physical and empirical parameters. In this paper, we investigate the possibility of using indicators from satellite imagery to estimate the respiration in order to obtain spatial differentiation of CO2 flux exchange. We formulated an ecosystem respiration model using the factors that can be obtained for the resolution of the satellite pixel for the Biebrza area from the SAR satellite images from Sentinel-1, Sentinel-3 and Terra MODIS. In order to obtain a common spatial resolution for satellite data, a resampling was performed. Terra MODIS products that are provided with 1000 m resolution and Sentinel-1 images with 10 m resolution were resampled to 300 m (similar to Sentinel-3).
The soil parameters obtained from ground measurements in observation points are the soil moisture and soil temperature at a depth of 10 cm. Their diversification for the extracted habitats of the Biebrza area is illustrated in the graphs below (Fig. 4). There are significant differences between the soil moisture: sedges grow in the more humid area, and water remains for most of the season in the reeds. The distribution of the soil temperature for sedges and grasses is similar; for reeds, the high moisture translates into lower soil temperatures throughout the growing season.
Figure 4
Soil temperature (left) and soil moisture (right) measured in situ in Biebrza habitats in monthly cross-sections (means and 0.95 confidence interval)
Source: own elaboration

In May, the
Figure 5
Terra MODIS NDVI (left) and LST (right) in Biebrza habitat observation points from 2015–2022 in monthly cross-sections (means and 0.95 confidence interval)
Source: own elaboration

The vegetation growth differed during the season for 2015–2022. The mean
The exponential dependency of ecosystem respiration with air temperature
Figure 6
Exponential dependency of Biebrza ecosystem respiration from air temperature during the RESP in situ measurement
Source: own elaboration

Figure 7
Exponential dependency of Biebrza ecosystem respiration measured in situ and MODIS NDVI index
Source: own elaboration

Figure 8
Polynomial dependency of Biebrza ecosystem respiration versus soil moisture for sedges, grasses and reed habitats
Source: own elaboration

Figure 9
Scatterplot for log-linear respiration model (4) and measured respiration
Source: own elaboration

In the analysis, the factor (1-
The measurements were taken in the hours between 7:00 and 15:30 UTC. The model was estimated for the log (
The goodness-of-fit statistics of the log-linear regression are R = 0.81, RMSE = 1.2 μmol CO2 m−2 s−1, N = 105. There is mutual independence of the equation components R2 = 0.02, so the tolerance is on the level R2 = 0.98.
The extrapolation of equation (4) for the nighttime temperatures gives the night values of ecosystem respirations.
The application of equation (4) with soil moisture
Figure 10
A (left): Distributions of daytime and nighttime means of respiration calculated with the model (4) for chamber observation points. B (right): Distribution of nighttime values of respiration from EC tower measurements for the period May–September
Source: own elaboration

The evaluation of model (4) was done on the nighttime values using the medians as the statistical criteria. Figure 10 presents the comparison of the distributions of the night respiration modelled by eq. (4) and the measurements taken at the EC tower.
The median night modelled observations is 6.7 μmol CO2 m−2 s−1; the median night tower observations is 6.5 μmol CO2 m−2 s−1. In this sense, the model generates nighttime
The sum of the two fluxes, photosynthesis and respiration, where the participation of respiration is weighted with the length of day and night, approximate the value of the diurnal net CO2 exchange. Equation (5) describes it for simulated
Where α=(day length)/(diurnal length) and length is expressed in any time units;
In equation (5),
Figure 11 presents the comparison between the distribution of the daytime EC tower CO2 flux and daytime
Figure 11
A (left): Distributions of daytime means of NEE calculated with model (5a) for chamber observations at the points. B (right): Distribution of daytime values of CO2 flux from EC tower measurements over the period May–September
Source: own elaboration

The means and standard deviation of the above distributions are −4.0 and 5.0 μmol CO2 m−2 s−1 for modelled daytime
Soil moisture for the Biebrza Wetlands was developed on the basis of continuous measurements in 2015–2017 and published in Dąbrowska-Zielińska et al. (2018). The Water Cloud Model is the method based on the dependence of radar backscattering in relation to the soil moisture under the vegetation. It is widely applied using SAR data in combination with satellite vegetation descriptors, calculated from the optical images. In the model, the S-1 cross ratios s°VH-VV and s°VV/VH (backscattering coefficients) were applied as the vegetation proxy. This allows the soil moisture in spatial resolution, having one Sentinel-1 image only, to be extrapolated. The equation for the retrieval of soil moisture, citing from Dąbrowska-Zielińska et al. (2018) takes the form:
The maps on Figure 12 have been chosen to illustrate the results of calculating the Biebrza Wetlands soil moisture in the wet time (May 2019) and dry time (April 2020).
Figure 12
Soil moisture on the Biebrza Wetlands area calculated with model (eq. 6)
Source: own elaboration

Equation (4), with satellite version of environmental factors
The equation for implementing
Where: α=(day length)/(diurnal length) and length is expressed in any time units.
Figure 13 presents the spatial distribution of the NEE (8) and RESP (7) for the study area of Biebrza. The maps are based on Sentinel-1 and Sentinel-3 data for 31 May 2019. The soil moisture during the period of 27–31 May was characterized as high (Fig. 12), and there was high vegetation growth (before the first grass cut). The values of the NEE range from −0.3 μmol m−2 s−1 to −21.8 μmol m−2 s−1. The highest average NEE was observed for grass habitats (−15.8 μmol m−2 s−1), while the lowest average uptake was noted for sedge habitats (−13.3 μmol m−2 s−1). The reed habitats are characterized by average values of −14.9 μmol m−2 s−1. Average RESP values are within the range of 6.9 μmol m−2 s−1 for sedge habitats and 7.8 μmol m−2 s−1 for grass habitats.
Figure 13
NEE (left) and RESP (right) distribution maps calculated from satellite data as of 31.05.2019
Source: own elaboration

This study describes the method of determining NEE using satellite indicators such as NDVI, LST and NDII, and meteorological environmental parameters Tair, Tsoil, for soil moisture (SM), the model based on Sentinel-1 data. The model (eq. 8) gives the spatial distribution of daily NEE for each pixel covering three types of vegetation habitats at Biebrza wetland area. The differentiation of phenological development and moisture conditions between the habitats translates into CO2 exchange; the distribution of the daily NEE values generated by the model in the observation points is consistent with those measured at the data EC tower. Two fluxes making up the CO2 exchange, GPP and RESP, were estimated. The precision of the daily GPP model, using MODIS NDVI and Ts-Ta as the parameters, is 1.4 μmol m−2 s−2; using Sentinel-2 NDVI and NDII is 1.7 μmol m−2 s−2. The precision of the instant RESP model, using NDVI and soil temperature, air temperature and soil moisture, is 1.2 μmol m−2 s−2.
The results show that the indices derived from satellites have potential as predictors for the wetlands CO2 exchange. The first stage of the work involved field measurements and collecting satellite data of the area of interest. In the next step, the RESP and NEE models were developed, using the previously used soil moisture models (Dąbrowska-Zielińska et al. 2018) and the gross primary production model (Dąbrowska-Zielińska et al. 2022). It is clearly visible that the highest streams (above −18 μmol m−2 s−1) are obtained for areas with humidity above 80%. In contrast, in areas with less than 60% humidity and non-reed vegetation, the NEE flux is around −6 μmol m−2 s−1. This is fully in line with our knowledge about the functioning of peat, which absorbs large amounts of carbon when properly hydrated (usually in May) and releases carbon dioxide when dry. In addition, the type of vegetation plays a huge role – sedges have a lower capacity for CO2 sequestration than reeds and grasses. The research shows that the changes in peatland moisture may strongly affect NEE.
Due to global warming, there is a great danger of carbon dioxide release. It is important to monitor the hydrological and the Net Ecosystem Exchange systematically by applying the satellite data and elaborated in this article models.
Keeping good water conditions in wetlands is an important mitigation against the effects of climate change, as wetlands being a carbon reservoir is an object of special concern for the global environment.
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