4.1. Ground Measurements
Statistics for the ground measurements for soil moisture FDR probes and water table wells show low variability in the data. Consequently, there are slight changes in those measured parameters during the time period monitored; a low standard deviation indicates that data values tend to be very close to the mean (
Table 3). As expected, mean volumetric soil moisture is higher for permanently flooded wetlands, for each peatland monitored. Mean volumetric soil moisture values are significantly higher for peatland B than for peatland A. Inversely, mean water table depth values are deeper for peatland B, over permanently and seasonally flooded areas.
We looked at the evolution of surface soil moisture measurements with regard to seasonally changes, for year 2010, in temperature and precipitation (mean daily values) of one monitored wetland, in order to characterize their dynamic interaction for the season (
Figure 4).
The increase in soil moisture content at the beginning of April 2010 is strongly associated with the melt of the snow, as it matches the increase in the mean daily maximal temperature. Once snow melting is completed, a plateau of soil moisture content is reached in the peatland at about 80% of saturation (buffer value). During this more stable period in surface soil moisture’s dynamics on the monitored wetland, important variations are more associated with the amount and distribution of precipitation during the summer and early autumn seasons, as can be seen in the lower values of precipitation throughout June and the peaks in mid-August and early September 2010 (circled in
Figure 4 upper). Surface soil moisture’s dynamic changes to significant meteorological events in precipitation showed a temporal shift of three to four days (circled peaks in early autumn). It took almost two months of a drought in summer to cut down the values in surface soil moisture to almost 10%.
Water table depth mean daily values showed a significant correlation to surface soil moisture (
r2 = 0.72). Nonetheless, they revealed a stronger sensitivity to variations in precipitation during the summer and autumn seasons in 2010 than surface soil moisture mean daily values (
Figure 4 lower). Lows and peaks in water table depth are in direct relationship to precipitation values, and they did not show a buffer value in the wetland as surface soil moisture did.
The range of variation in soil moisture captured by radar images was more representative of the stable period in the hydrological dynamics of the surveyed wetlands. The few meteorological events that affected this stability were missed by the RADARSAT-2 image acquisition schedule. This situation illustrates the importance of a more frequent temporal resolution and the potential of the future “RADARSAT Constellation Mission” in such an application, in order to be able to capture dynamic and rapid variation of soil moisture.
4.2. Regression Analysis
A direct regression was established between multi-polarization backscattering coefficients (HH, HV, VV) and volumetric soil moisture content (
hv in m
3·m
−3), as well as water table depth (
wtd in m), as an empirical approach to estimate those variables from RADARSAT-2 images. A cross-polarization ratio (HH/HV) [
26] was also tested as a way to minimize the effect of surface roughness and/or vegetation on radar signal backscattering. Generally, direct regressions showed poor dynamics. Most adjustments (
r2) were under 0.3 for all landscape units and multi-polarization parameters (
Table 4). Although not shown, poor adjustments were obtained when considering water table depths, regardless of incidence angle range (IA) or the level of landscape disaggregation.
Regression adjustments with regard to surface soil moisture were remarkably lower for RADARSAT-2 images acquired at incidence angles (IA) between FQ12 and FQ16 (from 31.5° to 37.0°), regardless of landscape disaggregation (
Table 4). Regression analysis with the combination of incidence angles FQ16 and FQ20 (from 35.6° to 40.7°) showed more potential to monitor changes in surface soil moisture content, under the specific conditions of this study. Returns due to surface scattering are normally strong at low IA and decrease with increasing IA, with a slower rate of decrease for rougher surfaces, although there are no significant differences in backscattering behavior in the IA range between 32° and 40° used in this study (FQ12–FQ16–FQ20) [
38].
Nevertheless, radar backscatter has an angular dependence, and there is a potential for choosing optimum configurations for different applications, as in this specific case on boreal wetland ecosystems. Surface roughness and natural vegetation biomass are key factors that affect the potential of SAR images multi-polarization backscattering coefficients to detect changes in soil moisture [
39]. This is why the best regression adjustment were obtained with the cross-polarization ratio (HH/HV) analysis, as this ratio weakly depends on surface roughness, regardless of the incidence angle.
We combined the cross-polarization ratio with a multi-temporal index, or Δ-Index [
30], in order to improve the quality of regression adjustments with ground measurements. With a multi temporal approach, the change in SAR backscattering between repeat passes results from changes in
hv (with images acquired under the same satellite configuration and incidence angle). A significant improvement in the quality of the regression was obtained using the Δ-Index cross-polarization ratio (HH/HV) and soil moisture content (
r2 = 0.92), for an incidence angle range between FQ16–FQ20 on the permanently flooded peatland A (
Figure 5).
Complete regression analysis results for the Δ-Index cross-polarization ratio (HV/HH) and soil moisture content are shown in
Table 5. The use of SAR images with an incidence angle range between FQ16 and FQ20 (from 35.6° to 40.7°) allows us to obtain a significant leap in the quality on the regression adjustment. The quality of the adjustment is higher as the scale of landscape disaggregation is generalized (
Table 5). Good adjustments were also obtained at a more detailed scale of spatial disaggregation on peatland
A. Still, no quality adjustments were obtained for radar images acquired with an IA range between FQ12 and FQ16 (from 31.5° to 37.0°).
Better adjustments were systematically obtained on permanently flooded areas over seasonally flooded ones, for both peatlands analyzed. This is also pointed out, as the landscape disaggregation is generalized, showing a significant difference in the quality of the adjustment (
r2 ranging from 0.81 to 0.21 for permanently flooded and seasonally flooded areas, respectively). This behavior can be explained by the nature of boreal wetland eco-hydrological landscapes. Dribault
et al. [
34] proposed an eco-hydrological hierarchical classification of boreal wetlands in three groups, water, peat and forest, representing three types of landscape: aquatic, semi-aquatic and terrestrial. Permanently flooded areas can be assigned to the aquatic group, while seasonally flooded areas to the semi-aquatic group, which represents a transitory environment onto terrestrial groups.
The nature of the semi-aquatic group is a mixed environment that evolves constantly in both senses (aquatic and terrestrial) depending on the wetland’s water balance changes over the season, which implies a mixed radar backscattering response, too. Further, this landscape is characterized by small and dispersed spatial units not easy to detect with satellite radar imagery, due to pixel size (8 m) and the speckle effect.
Even though these results show the strong potential of the multi-temporal cross-polarization index approach to monitor seasonal variations in surface soil moisture content on boreal wetland ecosystems, the conditions for how these results are likely to occur should be pointed out. As demonstrated in
Figure 5 (Δ-Index: HV/HH; IA range: FQ16–FQ20; permanently flooded peatland A), regression adjustment results mainly from four points in the curve (
hv in m
3·m
−3 and image acquisition date): 0.32 for 2009-05-18, 0.56 for 2009-05-25, 0.82 for 2010-06-30, and 0.88 for 2009-06-11 or 2010-08-17. The ground measurements showing low variation on soil moisture content to saturation have a weak impact on the regression adjustment. The sensitivity of the multi-temporal index from the cross-polarization ratio to variations in the eco-hydrological dynamics of the soil-vegetation complex depends on the magnitude of changes in the soil moisture content. Weak changes in soil moisture on boreal wetlands (lower than 10%) over the season would not be detected by the multi-temporal cross-polarization index.
4.3. SAR Cross-Polarization Ratio Image Analysis
To better understand the relationship between the cross-polarization ratio and the changes in the wetland’s eco-hydrological dynamics, we looked at a series of ground photos and its corresponding cross-polarization ratio image (pseudo-color), at the radar’s pixel scale (
Figure 6).
Ground photos in
Figure 6 shows the evolution of the main pool at peatland A during the first five acquisition dates of 2009, as well as pseudo-color representation (in a blue palette) of the cross-polarization ratio for the corresponding date and time of ground photos. In the first two ground photos we notice that most of the landscape is still covered by snow. On the second one, the snow melting process is more advanced; the snow seems more humid in the corresponding ground photo, as evidenced by the measured volumetric surface soil moisture increases from 0.32 to 0.56 m
3·m
−3 from 18 May to 25 May. For the third ground photo (11 June), all snow cover is melted and the wetland shows a maximum water level at the main pool (as the measured soil moisture increase up to 0.88 m
3·m
−3).
The follow up ground photos of 5 and 29 July show a decrease of the main pool water level, as the wetland reaches a stable period in the hydrological dynamic, and the peat (lawn-grass) gains some surface in the wetland (mainly to the pool edges). From mid-June to the beginning of August 2009, there were weak and scattered events of precipitation, which led to this dryer condition in the wetland.
Before analyzing the relationship between the eco-hydrological dynamic evolution of the soil-vegetation complex and the pseudo color cross polarization ratio images, we should look first at the backscattering values (
σ° in db) for HH and HV (as well as the cross-polarization ratio) for different sites at the permanently flooded peatland A (
Table 6, same dates as cited above). Two sites were selected: the FDR probe location (red circle in
Figure 6) and the main pool.
Interpretation of these results must be carried out separately, considering two different environmental conditions: with snow and without snow (radar data interpretation might defer significantly due to dissimilar microwave-object interactions). Likewise, we will be using the panoramic photos as the ground truth to the corresponding radar images date-time of acquisition (
Figure 6). With respect to the first date at the FDR probe site, we have the snow melting process as the main cause of absorption in radar microwave (thus the increase in liquid water). Under melting conditions, the liquid water content in a snow pack gives rise to considerable absorption and strong reduction of penetration depth [
40,
41]. The increasing values of the cross-polarization ratio with the increasing humidity in the snow must be inversely interpreted as the HH and HV backscattering (
Table 6).
At the main pool site, backscattering is influenced by the humidity of the snow pack over the frozen pool. The 18 May 2009 ground photo shows a homogeneous snow pack, which is reflected in the corresponding pseudo color cross polarization image (
Figure 6). As the snow pack and the subjacent ice cover continue to melt (25 May), the absorption is higher and the backscatter lower in HH polarization (thus the cross-polarization value increases). When the snow cover melts away, a different interaction microwave-object takes place with open water pool and vegetation (low lawn-grass) over organic soils (as this could be seen on the three last ground photos,
Figure 6). At the main pool site in a snow-free wetland, reflection at an open water pool is a matter of surface roughness due to small waves, as noticed in
Table 6 and
Figure 6 (from 11 June to 29 July ground photos). Lower values of the cross-polarization ratio are associated with mirror reflection in calm open water surface.
At the FDR probe site without snow, higher values of the cross-polarization ratio are associated with a highly saturated soil-vegetation complex. The pseudo color cross-polarization ratio image representation for 11 June shows a predominance of high values over most of the wetland, which represents open water and a water table level at the surface at the main pool and its edges, as well as highly saturated soils. As the water level falls in the wetland (5 and 29 July ground photos in
Figure 6), there are changes especially in the vegetation physiognomy, as the low lawn-grass gains some surface to the edges of the main pool. The follow-up corresponding pseudo color cross-polarization ratio images (5 and 29 July) show low values particularly on the northeast side of the main pool, which represents lesser humid peatland over organic soils (FDR probe site,
Table 6). In fact, a decrease in the soil or lawn-peat moisture content generally provokes a change in the dielectric properties of natural materials with decreased radar reflectivity.
The use of a fixed ground camera represented an appropriate approach to interpret radar images, with the purpose of understanding the complexity of the eco-hydrological dynamics in boreal wetlands over the season. It allowed a better understanding of the natural phenomena that was being capture by the satellite sensor. A higher number of fixed ground cameras, properly distributed at different landscapes, will allow for a better calibration of the cross-polarization ratio image representation. Torbick
et al. [
42] used the same approach with a GPS-enabled moving camera (“geofield photos”), during field work.
4.4. Cross-Validation of the Empirical Approach
A cross-validation method was applied in order to estimate how accurately our predictive model will perform. The predictive model is an empirical approach developed to estimate surface soil moisture from a SAR image difference index (Δ-Index), using a cross-polarization coefficient (HV/HH, range of IA: FQ16–FQ20). As no ground data is available for validation, a leave-one-out cross-validation method was used. This method involves using a single observation from the original sample as the validation data, and the remaining observations as the training data. This is repeated such that each measured surface soil moisture data in the sample is used once as the validation data.
A total of 14 dates were used: 3 for 2009 and 11 for 2010. Bias (systematic error), standard deviation (SD) and root mean square error (RMSE) statistics were calculated from the leave-one-out cross-validation method (
Figure 7), for each spatial unit: permanent flooded peatland A (APF1), seasonally flooded peatland A (ASF1), permanent flooded peatland B (BPF2) and seasonally flooded peatland B (BSF5); as well for the different levels of spatial disaggregation used in the analysis: permanent flooded wetland (PF), seasonally flooded wetland (SF) and all wetlands (A + B) altogether (WET).
where
xei and
xoi are estimated and observed surface soil moisture, respectively,
is mean value of the estimated surface soil moisture,
n is the number of paired datasets (14 used in this research) and SD is the standard deviation of the estimated values.
All regression adjustments were statistical significant (
p-value under 1%). Cross-validation results show excellent accuracy in surface soil moisture estimation, where almost all errors
(bias and SD) were under 0.10 m
3 m
−3. Some interesting patterns are also shown. Random errors were systematically greater than statistical bias, especially in peatland B (BSF5), where it reached a maximum value. With regard to the RMSE, it shows that the quality of estimation of volumetric surface soil moisture is systematically better in permanently flooded than seasonally flooded peatlands. When analyzing all wetlands together, results were similar to the permanently flooded peatland. We also looked at the error distribution with regard to the estimated and measured surface soil moisture (
Figure 8) in order to have a graphic representation of these patterns.
Error distribution in peatland A (
Figure 8a) shows a precise estimation at the whole range of surface soil moisture content, and it is also noticeable that the range of changes in soil moisture in seasonally flooded areas is smaller than those in the permanently flooded ones. Error distribution in peatland B (
Figure 8b) in seasonally flooded areas shows more dispersion, as the quality of the estimation is less important (
Figure 7). This pattern is still obvious when we analyze permanently and seasonally flooded areas separately (
Figure 8c). As the level of landscape generalization increases, and the error distribution analysis is set for all peatlands altogether (
Figure 8d), the effect of error dispersion caused by the seasonally flooded areas is largely reduced (diluted).
Surface soils in seasonally flooded areas do not reach saturation during both monitored seasons (years 2009 and 2010), which might allow for the growth of more structured vegetation. Surface soils in permanently flooded areas almost reach saturation (0.8 m
3·m
−3 or higher) in spring as the snow melts and sustain a high surface soil moisture content all along the season (as seen previously in
Figure 4). As cited before, wetland eco-hydrological hierarchical classification [
34] consists of three groups:
Water,
Peat and
Forest; each group also has many classes and subclasses. Nonetheless, we take only the classes necessary to explain the differences in vegetation cover on permanently flooded and seasonally flooded areas (one
Water class and all
Peat classes, but no
Forest classes, shown in
Table 7).
Permanently flooded areas would be represented by one eco-hydrological class from the Water group (shallow water, or pond of peat bogs) and two classes from the Peat group (lawn and water, low lawn), whereas seasonally flooded areas would be represented by two eco-hydrological classes from the Peat group (upper land, hummock and forest edge). All eco-hydrological classes and subclasses representing permanently flooded areas have low water table depth or at the surface, as well as low vegetation cover (low lawn-grass or herbaceous). Eco-hydrological classes and subclasses representing seasonally flooded areas have a deeper water table, and a more developed and structured vegetation cover (shrubs).
Vegetation cover composition could explain the differential behavior between seasonally and permanently flooded (PF) areas. Peatland PF areas keep more saturated (and stable) soil moisture conditions over the growing season (late spring, summer and early autumn, after snow melting), with a low lawn-grass vegetation cover and water table near the surface (aquatic eco-hydrological class), which can be related to a more homogeneous backscattering response. Peatland seasonally flooded (SF) areas, as a transitory eco-hydrological unit between aquatic and terrestrial landscapes, have deeper water table depth and less saturated surface soils, allowing the development of more structured vegetation (shrubs), as well as more seasonal changes. Eco-hydrological conditions described for SF will eventually result in a more mixed backscattering response over the season (stronger variations in vegetation cover and surface roughness), affecting the possibility of a precise prediction in surface soil moisture from SAR multi-date indexes.
This explains why the prediction of surface soil content on permanently flooded areas from the Δ-Index cross-polarization coefficient, analyzed individually, is more precise than that of all wetlands altogether. Nevertheless, the fact that seasonally flooded areas are characterized by small and disperse spatial units allows good results in prediction precision when we analyze the whole wetland spatial unit. This result confirms the capacity of the empirical approach from the Δ-Index cross-polarization coefficient to precisely estimate surface soil moisture in boreal wetlands. The quality of the estimations obtained from C-band SAR are as strong as those obtained from L-band SAR [
42], even though the longer wavelength of the L-band would allow for a more detailed detection of flood status in different wetlands types [
43,
44].
The shorter wavelength C-band platform has the advantages of increased coverage and data availability. Other multi-temporal C-band SAR applications in northern wetland [
45,
46] showed that it can distinguish inundation from areas highly saturated with water, although at a different scale platform (European Space Agency Environmental Satellite or ENVISAT ASAR) Wide Swath, spatial resolution of 150 m). With regard to optical images applications at the same study area [
34,
47], they provided a satisfactory level of accuracy both for the delineation of peatlands and for the distinction of their internal structures. Whereas Dribault
et al. [
34] were able to relate the observed spatial dynamics to the evolution of the measured water levels (discharge), our approach with a multi-date and multi-polarimetric C-band SAR index allowed for quality estimations of surface soil moisture on the peatlands’ internal structures.