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a USDA ARS Southeast Watershed Research Lab., P.O. Box 748, Tifton, GA 31794
b Dep. of Agronomy and Soils, Auburn University, 202 Funchess Hall, Auburn, AL 36849
c Global Hydrology and Climate Center, NSSTC/MSFC/NASA, 320 Sparkman Drive, Huntsville, AL 35805
* Corresponding author (dgs{at}tifton.usda.gov)
| ABSTRACT |
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Abbreviations: NIR, near infrared PAN, panchromatic RMSE, root mean square error RS, remote sensing/sensed TC, total carbon VIS, visible
| INTRODUCTION |
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The basic relationships between spectral response and soil properties have been well researched. Early studies have shown a negative correlation exists between surface TC and reflectance in the visible (VIS) and near infrared (NIR) (Baumgardner et al., 1970; Sudduth and Hummel, 1991; Henderson et al., 1992). Increasing amounts of TC have a darkening effect, consequently reducing the amount of energy reflected. Similarly, Coleman and Montgomery (1987) found a strong negative correlation (r = 0.58) between TC and NIR (0.760.90 µm) reflectance in Vertisols and Alfisols in Alabama's Blackbelt region. These authors noted increasing soil water content, coincident with increasing TC, tended to depress surface reflectance and mask spectral features of interest (Johnson et al., 1998).
Soil texture also impacts soil spectral response curves. In highly weathered and eroded soil systems of the Southeastern Coastal Plain and Tennessee Valley physiographic regions, the sand (0.052 mm) fraction is primarily composed of quartz with lesser quantities of mica, and clay (<0.002 mm) particles consist of kaolinite, with lesser quantities of hydroxyinterlayered vermiculite, Fe oxides, and gibbsite (Shaw et al., 2002, 2003). In eroded soils, increasing clay quantities at the surface attenuate reflectance as finer particles cause scattering of energy (Mathews et al., 1973; Stoner and Baumgardner, 1981; Salisbury and D'Aria 1992). Barnes and Baker (2000) used multispectral airborne and satellite data to create surface soil texture maps for two sites at the Maricopa Research Farm in Arizona. Due to variability in soil water content, surface roughness, and residue cover between sites, RS-derived soil texture maps were most accurate when generated on a site-by-site basis. Thomasson et al. (2001) reported similar findings, which showed the relationship between spectral response and soil texture was highly variable between two farm sites in Mississippi. However, using spectra within the 0.40- to 0.80- and 0.95- to 1.05-µm ranges >50% of the variability in soil texture was explained.
Soil spectral response relative to the amount of mineral, organic, and water content has been well established. However, extrapolation to field conditions is confounded by variability in surface roughness, crop residue cover, crusting, and soil water content. Several methods show potential for improving our ability to discriminate among changes in surface soil attributes. Two of these methods include: cokriging less-densely sampled soil attributes with highly correlated spectra and fuzzy c-means clustering of pixels based on differences in surface reflectance.
Geostatistical analyses that integrate high resolution RS data with measured surface properties may improve our ability to resolve finer differences among surface soil properties. Early research by Zhang et al. (1992) demonstrated that cokriging with a highly correlated covariate could be used to improve estimates of soil texture. In their study, soil samples were collected on a 100-m grid and analyzed for soil texture. Reflectance was measured using a handheld radiometer under wet and dry conditions. Results showed that cokriging reduced mean square errors by 33% using only 17 to 25% of the original soil samples. More recently, Bishop and McBratney (2001) compared statistical and geostatistical algorithms to map soil cation exchange capacity. Covariates used in this study included apparent electrical conductivity, Landsat imagery and crop yield. Results suggested that algorithms utilizing electrical conductivity or RS imagery as a covariate improved results over traditional statistics and simple kriging.
Fuzzy c-means is a multivariate clustering algorithm that differs fundamentally from other multivariate clustering algorithms by allowing non-normal data distributions and partial class membership. Recent studies have utilized fuzzy c-means to generate detailed digital soil maps by clustering physical and chemical soil properties (Young and Hammer, 2000; Triantafilis et al., 2001). However, the real potential of cluster analyses may lie in the utilization of RS imagery. Because reflectance is correlated with many soil attributes, fuzzy cluster analysis of high-resolution satellite imagery shows promise as a tool for the delineation of soil variability.
Assessment of surface soil property variability is critical to site-specific management, soil survey and natural resource inventory. However, directed soil sampling approaches have been limited in the past by researcher bias in sampling design and failure to treat the soil as a continuous surface. This study was designed to evaluate our ability to depict surface soil variability using newly available, high-resolution satellite imagery. Specifically we will: (i) investigate the utility of IKONOS multispectral satellite imagery to assess the spatial variability of surface soil properties under different tillage regimes, and (ii) evaluate the potential of three methods relating RS to soil property variability (multivariate regression, kriging, and cokriging) and one clustering-based algorithm (fuzzy c-means) to resolve surface soil variability.
| MATERIALS AND METHODS |
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Each site was managed as a conventionally tilled system representative of the two physiographic regions. Remote sensing acquisitions were designed to capture differences in soil attributes as well as the impact surface conditions may have on spectral reflectance (Fig. 1) . Data were acquired at the Tennessee Valley site on 19 Feb. 2002. Surface conditions were rough and typical of clayey soils following fall-tillage and winter fallow. Data were acquired twice at the Coastal Plain site, 14 Feb. 2002 and 27 Mar. 2002, and designed to capture pre- and post-tillage surface conditions. This is particularly important in the sandy soils of the Coastal Plain, where surface crusting following rainfall events is common. Crusting occurs when rainfall or irrigation events mechanically breakdown and disperse soil aggregates. Dispersed clay particles settle within pore spaces, and effectively reduce infiltration (Agassi et al., 1981) can significantly alter reflectance properties (Eshel et al., 2004; Ben-Dor et al., 2003). To evaluate the impact of surface crusting on spectral reflectance at the Coastal Plain site, the first image was acquired over a crusted surface before spring tillage, and a second image was acquired over relatively smooth, freshly tilled, cultivated soil.
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IKONOS Multispectral Scanner
The IKONOS1 satellite (Space Imaging, Thornton, CO) orbits the earth in a sun synchronous orbit at an altitude of 681 km. The sensor on board IKONOS possesses a multispectral scanner equipped with three VIS, one NIR, and one panchromatic (PAN) band (Table 1). Visible and NIR bands acquire data with 4 m spatial resolution, and PAN data are acquired at 1-m spatial resolution. Data were collected on days having <10% cloud cover, as close to solar noon as possible.
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Spectral Response Curves
Spectral response curves corresponding to each RS acquisition were created to illustrate the impact of tillage regime and soil texture on observed reflectance patterns. Spectral response curves were generated for the Coastal Plain site only, since RS data were captured pre- and post-tillage. Spectral response curves for each RS acquisition represent soils having a range in clay content (5.629.8%) (Fig. 2)
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Correlation
Before cokriging, multivariate regression, and fuzzy c-means clustering, the correlation between spectral response and soil attributes was evaluated. Remotely sensed data were extracted using a 5-m buffer around all geospatially attributed sample locations and correlated with measured TC and clay content (p < 0.05). Next, highly correlated bands were selected as input for cokriging, multivariate analyses, and fuzzy c-means clustering.
Kriging
Kriging was chosen as a non-RS based method. Based on spatial covariance properties, kriged maps of TC and clay content were generated for each site using measured TC and clay content from grid sampled locations. Unlike RS-based methods, kriged maps are independent of surface conditions at the time of sampling.
Before kriging, 10% of the sample points were randomly selected and retained for accuracy assessments. Using the remaining sample points, the spatial structure of each dataset was evaluated via isotropic and anisotropic semivariograms. Semivariograms constructed for each variate were well structured with minimal anisotropy. Semivariograms were best represented using the spherical model. Spatial dependence was estimated via nugget semivariance, which represents the percentage of nugget (unexplained variance) compared with the total variability accounted for in the semivariogram (nugget + sill). Nugget semivariances <25% indicate strong spatial dependence while nugget semivariance >75% are weakly spatially dependent (Cambardella et al., 1994). In all cases, RS and soil data exhibited moderate to strong spatial dependencies with correlation ranges between 154 to 293 m (Table 2).
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Cokriging
Cokriging is a hybrid interpolation procedure, which takes advantage of the correlation between a secondary, more intensely sampled variable, and the primary variate (Zhang et al., 1992). In this study, high-resolution RS data were used as the secondary variate. Since spectral response has been shown to vary with surface roughness, crusting, and soil water content (Coleman and Montgomery, 1987; Johnson et al., 1998), cokriging was chosen to evaluate whether RS data paired with measured soil attributes could be used to reduce the uncertainty in our ability to resolve soil property variability.
Using the same random selection of points as defined for kriging, new data sets were created by assigning georeferenced soil data to the corresponding RS image(s) in a geographic information system. In our case, new data sets comprised the February 19 RS acquisition at the Tennessee Valley site, the February 14 RS acquisition at the Coastal Plain site, and the March 27 RS acquisition at the Coastal Plain site. Covariates were chosen by selecting the band or band ratio that was most highly correlated (P < 0.05) with each soil property. For each of the new datasets, isotropic, and anisotropic semivariograms for each variate, covariate, and cross-covariation were evaluated. All data showed well-structured isotropic semivariance and were analyzed using the spherical model. Nugget semivariances were also calculated to evaluate the degree of spatial dependence for each soil property, corresponding covariate, and cross covariance.
Next, interpolated maps of TC and clay content were generated using block cokriging. Pixel sizes were set to 4-m to correspond with the spatial resolution of the RS imagery. Similar to the above, RMSEs were calculated between measured and interpolated values of TC and clay content at each site and residual distributions evaluated.
Multivariate Regression
Multiple linear regression analyses between RS data and TC or clay content were evaluated as a nongeospatial technique. Multivariate regression was based on the relationship between spectral response and TC or clay at a point, thus data are not treated as a continuous surface and the spatial covariation between points is ignored.
A 5-m buffer around each soil point was used to extract internal average relative reflectance data from each image. A random selection of 10% of the points were removed and retained for accuracy assessments. Using the remaining sample points, multiple linear regression analyses were performed using the NIR and three VIS bands, along with the green to red band ratio [(0.520.60 µm)/(0.630.69 µm)], which was correlated with clay content (r = 0.47) at the Tennessee Valley site. A variance inflation factor was included in the regression analyses to systematically remove spectra that were highly correlated with each other. Using the multiple linear regression equations generated for each dataset, estimates of TC and clay were calculated using data retained for the accuracy assessment. Estimated versus measured TC and clay contents were used to calculate RMSEs and residual distributions.
Fuzzy c-Means
Remotely sensed data for each acquisition were clustered using a multivariate fuzzy c-means algorithm (Fridgen et al., 2000). This approach requires the least amount of a priori input compared with kriging, cokriging, and multivariate regression. Because fuzzy c-means clustering is designed to handle non-normal data distributions and allow partial class membership, it is an ideal approach for landscape or field-scale assessments (Fridgen et al., 2004).
Remotely sensed variables most highly correlated with TC and clay content were chosen as input into the multivariate clustering algorithm. For each site, the two spectral bands most highly correlated with TC and clay content were chosen. A single RS acquisition at the Tennessee Valley site showed that red (0.630.69 µm) spectra for TC and the green to red band ratio for clay content were best correlated (Table 3). In the Coastal Plain, two RS data sets were evaluated. Analyses showed that for both RS acquisitions the green and NIR spectra were best correlated with clay and TC, respectively. Before clustering, the variance and covariance for each spectral band were assessed to determine the most appropriate clustering technique. Because spectral data for each field exhibited unequal variances with covariance values greater than zero, the Mahalanobis Distance Method was used to delineate clusters. A fuzziness threshold of 1.3 was assigned as suggested by Fridgen et al. (2004) for soil surfaces.
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| RESULTS AND DISCUSSION |
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Correlation
Soil properties were best correlated with spectral response at the Coastal Plain (Table 3). A negative linear relationship existed between clay content and all spectral bands, peaking at 0.52 to 0.76 µm (r = 0.61, p < 0.05). This relationship was consistent between tillage events. Earlier research has shown a similar pattern of decreasing spectral reflectance with increasing percentage of surface clay content, which is likely associated with a corresponding increase in the water holding capacity of finer soils (Mathews et al., 1973; Stoner and Baumgardner, 1981; Salisbury and D'Aria, 1992). As previously reported by Stoner and Baumgardner (1981), our data also show that TC content was negatively correlated with reflectance peaking in the 0.63 to 0.76 µm (r = 0.75, p < 0.05) region. The correlation between TC and spectra was best following spring tillage.
At the Tennessee Valley study site, a similar trend was observed with correlation coefficients peaking at 0.63 to 0.76 µm for TC (r = 0.31), and the green to red band ratio for clay (r = 0.47). Compared with the Coastal Plain site, the correlation between soil properties and spectral response were much lower in the Tennessee Valley. At the Tennessee Valley site, rough surface conditions typical of a clayey soil following fall tillage may have contributed to the low correlation between spectral response and clay content observed. Specifically, reflectance typically decreases with increasing roughness due to shadowing and scattering of light (Matthias et al., 2000). Conversely, at the Coastal Plain site, sandier surfaces were relatively smooth following tillage.
Kriging
Total Carbon
At the Tennessee Valley site, kriged estimates of TC content resulted in a RMSE between predicted versus measured TC content = 0.11% (Table 5). The RMSE for kriged estimates of TC at the Coastal Plain was relatively higher compared with the Tennessee Valley (RMSE = 0.22% TC). At both sites, a comparison of predicted versus measured TC showed a tendency to overestimate TC at contents <0.60%. In these highly weathered systems under conventional tillage management, TC contents are generally low, so this type of error could disproportionably impact kriged estimates of TC.
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Cokriging
Total Carbon
Cokriging TC with red spectra improved estimates by 0.07% (absolute) compared with ordinary kriged estimates at the Tennessee Valley site (Table 5). Spatial dependence (nugget semivariance = 9.6%) increased with the incorporation of red spectra and contributed to the low observed RMSE (Tables 2 and 5). In an earlier study, Odeh et al. (1995) also demonstrated that cokriging soil properties with an intensely sampled covariate (digital elevation data, 10-m spatial resolution) provided the most accurate estimation of soil properties compared with kriging and regression-kriging. Using high resolution IKONOS imagery in this study, we were able to discriminate among small differences in TC content at a finer spatial resolution (4 m).
For both RS acquisitions at the Coastal Plain site, cokriging TC with correlated NIR spectra (r = 0.390.75, pre- and post-tillage respectively) increased the spatial dependency of the data and reduced uncertainty in estimated TC content by as much as 0.20% (absolute) compared with kriged estimates (Tables 2 and 5). Considering the low range in TC reported this is a significant improvement in our ability to estimate TC content. Atkinson et al. (1994) showed that despite a weak correlation between RS data and green leaf area index and pasture biomass, cokriging with RS data greatly improved estimates of green leaf area index and pasture biomass. Our results indicate that even with a low correlation between TC and RS data (as low as r = 0.39) a stronger spatial structure and improved estimates of TC content were obtained. This is particularly important in these highly weathered soil systems with a low range in TC content (<1.0%) (Table 4).
Clay
At the Tennessee Valley site, cokriged estimates of clay content were an improvement over kriging, lowering RMSEs by nearly 5% (absolute) (Table 5). Nugget semivariances showed that incorporation of correlated RS data (r = 0.47, p < 0.05) improved spatial dependence (Table 2). The impact of this correlation was evidenced via the strong 1:1 correlation between predicted and observed clay contents (Fig. 3)
. Our results indicate that cokriged maps provided more detail and better discriminated among small differences in clay content (clay = 19.7% ± 7.7). Zhang et al. (1992) compared kriging and cokriging with remotely sensed data to delineate soil particle-size distributions and found that cokriging could reduce RMSEs by as much as 33%. In their study, soil samples were dried and sieved (2 mm) before acquiring reflectance measurements using a handheld radiometer. Their results suggest that accurate, cokriged estimates of particle-size distributions could be obtained using only 17 to 25% of the original sampling points. Results from our study indicate that field-scale applications of co-kriging clay contents with high resolution RS data can be used to produce accurate estimates of clay content variability at 4-m resolution. Future research is necessary to determine the minimum number of soil samples required to obtain accurate estimates of clay content using this approach.
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Following spring tillage and soil mixing at the Coastal Plain site, our data indicate that reflectance more accurately depicts soil texture. In fact, the observed RMSE for cokriged clay estimates following tillage decreased from 4.0 to 0.8%.
Multiple Linear Regression
Multiple linear regression analyses were used to relate RS data to soil properties. At the Coastal Plain site, regression estimates explained 11 to 61% of the variability in TC content using primarily red and NIR spectra pre- and post-tillage (Table 6). Estimates of clay content using RS data explained 34 to 55% of the variability. At the Tennessee Valley, regression estimates accounted for 38 to 39% of the variability in clay and TC content, respectively (Table 6).
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The regression equations reported here reflect conditions specific to the site conditions at the time of RS acquisition. This is consistent with previous studies, which showed that differences in surface conditions between sites (residue cover, soil water content, vegetation) confounded results (Thomasson et al., 2001; Barnes and Baker, 2000). Thus, accurate estimates of surface soil properties via multiple linear regression analysis would require ground truthing proximate to RS data acquisition.
Total Carbon
At the Tennessee Valley site, regression estimates of TC resulted in a RMSE = 0.11% (Table 5). Analysis of residual distributions showed a strong tendency to underestimate at low TC contents and overestimate at higher TC contents (Fig. 4)
. A comparison of kriged, cokriged, and multiple linear regression RMSEs suggests that only cokriged estimates provided sufficient accuracy to estimate TC content under the conditions assessed at the Tennessee Valley site.
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Clay
Multiple linear regression improved estimates of clay content by nearly 2% (absolute) compared with kriged estimates at the Tennessee Valley site. However, when comparing multiple linear regression and cokriged datasets, cokriging provided the most accurate estimates of clay content despite rough surface conditions at the time of RS acquisition (Table 5).
Estimated clay content at the Coastal Plain site resulted in RMSEs ranging from 2.2 to 2.4% using pre- and post-tillage RS data, respectively. Pretillage, multiple linear regression resulted in lower RMSEs compared with cokriging. However, using post-tillage RS data, cokriged estimates resulted in the lowest overall RMSE (Table 5).
Generally speaking, our results are consistent with previous findings, which show cokriging soil properties with RS data provide the most accurate estimates of soil variability compared with kriging and multiple linear regression (Odeh et al, 1995; Bishop and McBratney, 2001). Bishop and McBratney (2001) also noted, as reported here, that multiple linear regression resulted in similar RMSEs compared with kriged estimates of TC and clay. However, our data provide evidence that the spatial correlation between two correlated variables (TC or clay content and RS data) can be used to improve estimates of soil property variability. Specifically, the correlation between soil properties and spectral response successfully reduced errors associated with rough surface conditions at the time of RS acquisition.
Fuzzy c-Means
At the Tennessee Valley study site, fuzzy c-means clustering of RS data resulted in three soil zones. Using the overall field CV for each soil property as a benchmark, our data showed that fuzzy clustering reduced the variability in clay and TC content within each zone compared with the overall field CV. Clustering did not reduce variability in silt or sand content, having CVs ranging from 14 to 32% (Table 7). With the exception of zone two, soil property variability (TC and soil texture) within each zone was >22%, possibly limiting the usefulness of the technique in this region for directed soil sampling or precision management.
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Analysis of the post-tillage Coastal Plain clustering indicates that TC and clay content played a major role in soil zone delineation. Average TC and clay contents within zones differed substantially (Table 7). Total C content, for example, ranged from 1.27, 0.47, 0.62, and 0.40% in soil zones one through four, respectively. A similar trend was observed for clay, with clay contents ranging from 9 to 18% in zones 1 through 4. Compared with the field average clay content of 11%, these differences are noteworthy.
Our clustering results compare well with previous studies, and suggest that in freshly tilled soils clustering accurately depicts TC and clay variability. Ahn et al. (1999) reported similar results using hyperspectral remotely sensed data to evaluate soil property variability via linear mixing, block kriging and fuzzy c-means. Results showed fuzzy c-means clustering with RS data successfully delineated soil variability. More recently Fridgen et al. (2000) evaluated the utility of the fuzzy c-means algorithm using electrical conductivity and topography to evaluate the impact of landscape variability on grain yield. Data were grouped into four or five distinct clusters and explained from 10 to 35% of the variability in yield response.
| CONCLUSIONS |
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Our results show that satellite based estimates of soil property variability work best in conventionally tilled systems following spring tillage. In the future, as conservation tillage practices become more common, research must address the extension of this work to measure indirect indicators of soil property variability, such as, yield, cover crop vigor, and distribution of crop residue coverage proximate to planting. Keeping this in mind, in the Southeastern Coastal Plain it is common practice for peanut producers to clean till peanut fields. Considering that many row crop producers are in a cotton-peanut rotation, satellite remote sensing shows promise as a tool for the rapid assessment of soil property variability over large areas in the Southeastern Coastal Plain.
| NOTES |
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Received for publication March 7, 2005.
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