Remote Sensing of Environment 86 (2003) 480 – 490 www.elsevier.com/locate/rse Mapping intertidal estuarine sediment grain size distributions through airborne remote sensing M.P. Rainey a, A.N. Tyler a,*, D.J. Gilvear a, R.G. Bryant b, P. McDonald c a Department of Environmental Science, University of Stirling, Stirling, Scotland FK9 4LA, UK b Department of Geography, University of Sheffield, Sheffield S10 2TN, UK c Westlakes Scientific Consulting Ltd, Westlakes Science and Technology Park, Moor Row, Cumbria CA24 3LN, UK Received 22 October 2001; received in revised form 1 May 2003; accepted 3 May 2003 Abstract The intertidal environments of estuaries represent critical exchange environments of sediment and sediment bound contaminants. Ecological and sedimentological related investigations of these environments require monitoring methods that provide rapid spatially representative data on sediment grain size distribution. Remote sensing has the potential to provide synoptic information of intertidal environments. Previous in situ and laboratory-based reflectance investigations have demonstrated that for effective quantification of sediment grain size distributions, remote sensing platforms must include measurements within the short-wave infrared (SWIR). In addition, the timing of image acquisition, in relation to tidal cycles and sediment moisture content, is critical in optimising the spectral differences between the coarser sand and finer ‘mud’ fraction of sediments. Daedalus 1268 Airborne Thematic Mapper (ATM) has been identified as an appropriate platform and sensor for providing accurate synoptic maps of estuarine sediment distributions. This paper presents the results from the application of ATM 1.75 m resolution data to the mapping of surface sediment grain-size distributions across intertidal areas of Ribble Estuary, Lancashire, UK. ATM imagery was acquired after the intertidal area was exposed to strong summer drying conditions. Pre-processing and linear unmixing of the imagery collected of the intertidal zone following a period of drying allowed accurate sub-pixel determinations (1.75 m resolution) of sediment clay (r2 = 0.79) but less accurate for sand (r2 = 0.60). The results also demonstrate deterioration in the image calibration with increasing sediment moisture content and microphytobenthos cover. However, recombining the subpixel end member abundances through multivariate regression analysis improved the image calibration significantly for both sediment clay and sand content (r2>0.8) for imagery collected in both dryer and wetter conditions. These results demonstrate that ATM data, or similar, can be used to gain quantitative information on intertidal sediment distributions and such data has application to a wide variety of estuarine research. D 2003 Elsevier Inc. All rights reserved. Keywords: Estuaries; Sediments; Airborne remote sensing; Linear mixture modelling 1. Introduction Estuaries are critical interfaces between the marine and terrestrial environment. The deposition of the fine ‘mud’ fraction occurs as a result of the interaction between currents, tides and salinity. Microphytobenthos is also an important ecological mechanism contributing to the distribution of fine sediment through processes of sediment sequestering and stabilisation (Black & Paterson, 1997; Paterson, 1997). Estuaries therefore represent a restricted exchange environ- * Corresponding author. Tel.: +44-1786-467838; fax: +44-1786467843. E-mail address: [email protected] (A.N. Tyler). 0034-4257/03/$ - see front matter D 2003 Elsevier Inc. All rights reserved. doi:10.1016/S0034-4257(03)00126-3 ment that can act as a sink or a source of sediment and sediment associated contaminants discharged to the aquatic environment. Knowledge of the distribution of fine sediment can provide an important insight into the understanding of the fate of sediment bound pollutants discharged to the marine environment. For example, anthropogenic radionuclides discharged under license into the Irish Sea from British Nuclear Fuels (BNFL) Sellafield plant since 1952 can be detected in several UK coastal and estuarine environments (Cook, MacKenzie, McDonald, & Jones, 1997; Mackenzie, Cook, McDonald, & Jones, 1998; Tyler, 1999). Consequently, there is a growing interest by regulatory and industrial bodies into monitoring particle bound contaminants. It is well recognised that estuarine environments tend to exhibit considerable spatial and temporal heterogeneity. M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 Characterisation of this heterogeneity through isolated point samples is commonly time-consuming, expensive and often unrepresentative (Rainey, 1999; Tyler, Sanderson, Scott, & Allyson, 1996). It would therefore be advantageous to a range of environmental disciplines to develop a remote sensing approach, which could provide rapid quantitative synoptic data of the intertidal sediment grain size distributions. The ability to map intertidal surfaces through airborne remote sensing has been demonstrated using Compact Airborne Spectrographic Imager (CASI) data (Thomson, Eastwood, Yates, Fuller, Wadsworth, & Cox, 1998; Thomson, Fuller, Sparks, Yates, & Eastwood, 1998) and simulated Daedalus 1268 Airborne Thematic Mapper (ATM) data (Bryant et al., 1996). However, the application of remote sensing to the quantitative mapping of sediment grain size distributions has had limited success. Previous studies have shown that a ‘soft’ or fuzzy classification technique is likely to give a more accurate result than ‘hard’ classification techniques (Donoghue, Reid Thomas, & Zong, 1994; Yates, Jones, McGrorty, & Goss-Custard, 1993). Of the available ‘soft’ techniques, linear mixture modelling was considered the most suitable, primarily because: (1) it does not require extensive training data; (2) it has been shown to be relatively successful in unmixing satellite data of similar environments (Mertes, Smith, & Adams, 1993; Yates et al., 1993); (3) the necessary software is easily accessible. However, the success of this previous work has been somewhat limited by factors controlled by the temporal differences between image acquisition and reference data collection. Bryant et al. (1996) demonstrated the importance the SWIR to distinguish the influence of moisture on intertidal sediment reflectance. Rainey, Tyler, Bryant, Gilvear, and McDonald (2000) showed, through in situ and laboratory-based reflectance experiments, that image acquisition following a period of drying would be critical in maximising the spectral distinction between the coarser sand and finer ‘mud’ dominated sediment fractions. The spectral influence introduced by 481 grain size itself, as demonstrated in areas with otherwise relatively uniform surface characteristics (Painter, Roberts, Green, & Dozier, 1998), in this context is likely to be of minor importance other than to facilitate drainage and drying of sediment thereby promoting the spectral contrast between sand and mud. Principal components analysis of simulated ATM data derived from the reflectance spectra indicated that linear mixture modelling of ATM imagery acquired of the intertidal zone, following a period of drying, is a suitable method for providing relative sub pixel abundance estimates of sediment grain size distributions (Rainey et al., 2000). The resulting relative abundance images when coupled with reference data for calibration should enable quantitative mapping of sediment grain size distributions. Following the findings of Rainey et al. (2000), this paper presents the results from an investigation that examines the capability of airborne remote sensing, in this case ATM imagery, to quantitatively map the surface characteristics of intertidal sediments. 2. Study area The Ribble Estuary in Lancashire, UK, was selected for the development of the application of airborne remote sensing to map intertidal sediment grain-size distributions, because access was good to the intertidal environment and the range of sediment grain sizes were present. The Ribble Estuary joins the Irish Sea at Lytham St. Annes (Fig. 1). The estuary is macrotidal, experiencing diurnal tides of up to 10 m and the normal tidal limit reaches above Preston Docks (Brown, 1997). In the late 19th and early 20th century, extensive engineering work was carried out to improve navigation in the estuary, which resulted in a relatively straight, narrow channel and relatively rapid sediment infilling (Van der Wal, Pye, & Neal, 2002). Training walls were constructed facing the main channel position and consequently these allowed Fig. 1. Outline of the 1997 ATM image acquisition strategy and the location of the associate sampling points. 482 M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 mudflats and saltmarsh regions to form. Since the early 1980s, dredging of the estuary ceased, resulting in further extensive siltation of the channel (HMIP, 1994). The fluvio-glacial deposits on the floor of the Irish Sea are the dominant source of sediment to the Ribble Estuary, although the input of fine sediments are thought to be mainly alluvial in origin. Whole-rock mineralogical analysis of a range of intertidal sediment samples determined that all the samples were dominantly quartz with associate plagioclase, orthoclase, calcite, dolomite, chlorite/kaolinite and mica (Brown, 1997; Bryant et al., 1996). Clay mineralogical analysis determined that illite was the dominant clay mineral, with smectite, kaolinite and chlorite present as minor components (Brown, 1997; Bryant et al., 1996). Throughout the estuary, variability in the mineralogical composition of the fine sediment was found to be low, due to the sediments having the same source and subsequent homogenisation through reworking and mixing (Brown, 1997). Halite is occasionally present as an efflorescent deposit on the polygonated dry mud (Bryant et al., 1996). 3.1.2. Reference data A total of 77 sediment samples were collected from three intertidal locations within the Ribble Estuary during the acquisition of the imagery (Fig. 1). The locations of the individual sample sites were defined using in situ orientation measurements, differential GPS and marker boards that were visible in the imagery. To investigate the error introduced to the ground truth results by sampling and analytical error, 10 samples were collected from each of three 2 2 m quadrats situated between the saltmarsh edge and the main channel at Warton Bank. 3.2. Image preparation 3.2.1. Radiometric and geometric correction Radiometric correction is an essential part of the ATM image preparation and was performed externally by Natural Environment Research Council (NERC) of the United Kingdom (Wilson, Mockeridge, & White, 1996). Subsequent, geometric correction reduced any spatial errors within the raw ATM imagery and this was achieved using the GCORR software provided by NERC. 3. Methods 3.1. Reference data collection and ATM image acquisition 3.1.1. Image dataset A Piper PA31 350 Chieftain aircraft, operated by the UK’s Natural Environment Research Council (NERC), was the platform used to collect imagery of the Ribble Estuary on May 30, 1997 (Fig. 1). The Daedalus 1268 ATM onboard the aircraft is a passive sensor designed to collect and record radiation from the earth’s surface. The radiation is separated into 11 spectral bands, which simulate the satellite-borne LANDSAT Thematic Mapper and range from the visible blue to the thermal infrared. Channels 1– 5 are in the visible, 6 –8 are in the near-infrared, 9 and 10 are in the short wave infrared (SWIR), and lastly, band 11 is a thermal infrared band. The pixel resolution is 1.75 m and the swath width is 1 km at 700 m altitude. The Wild RC-10 camera, which has a 6-in. lens and a navigation sight, was used to collect vertical colour stereoscopic photographs in coincidence with the ATM image collection. The image dataset contains five east – west orientated flight lines of ATM imagery of the Ribble Estuary collected following a neap tide on May 30, 1997, when the intertidal area was completely exposed (from approximately 09:54 to 15:54). Based on the in situ and laboratory reflectance measurements it was expected that the imagery collected after the longest period of exposure would provide the best results. Consequently, the last or ‘dry’ image was used to produce a grain-size distribution map for the entire intertidal area of the Ribble Estuary. A subset of the first or ‘wet’ image was also analysed to examine the influence of interstitial moisture on the ability to create grain-size maps from ATM imagery. 3.2.2. Atmospheric correction Atmospheric correction attempts to remove the spectral effects of the atmosphere, ensuring the ATM recorded radiance is as close as possible to the actual radiance reflected from the ground surface. The imagery was collected at 700 m during uniform cloud-free conditions. No pathlength effects were identified and a simple dark pixel subtraction, or histogram minimum method, was selected as a suitable and reliable atmospheric correction technique to remove the effects of scattering or haze from the imagery. 3.2.3. Image subsetting and masking To classify accurately the sediments within the intertidal areas, it was first necessary to minimise the spectral complexity of the image by isolating the intertidal regions from all other spectral features. Consequently, all non-intertidal areas such as the surrounding saltmarsh, the main channel and the man-made structures were identified through the associated colour aerial photographs and masked out of the imagery. 3.3. Image analysis and interpretation The methodology used to create grain-size distribution maps from ATM images of intertidal sediment has a number of discrete stages: (1) Maximisation of the signal-to-noise ratio, as a means of improving the final classification products. (2) Examination of each dataset in feature space and, subsequent, identification of the image spectral endmembers. M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 (3) Classification of the imagery based on the ‘pure’ image pixels representing each of the spectral end-members. (4) Calibration of the abundance imagery produced by linear unmixing. 3.3.1. Minimum noise fraction transform The minimum noise fraction (MNF) transformation is a noise reduction technique designed to maximise the signalto-noise ratio and hence improve the image quality (Green, Berman, Switzer, & Graig, 1988). Each transformation of a 10-band ATM image, excluding the thermal band, produces 10 MNF bands of decreasing image information. This allows bands consisting predominantly of noise to be excluded from subsequent analysis. The spectral dimensionality of the dataset, which is fundamental to linear spectral unmixing, may also be determined. The first 10 ATM bands of each masked image were separately placed through a forward MNF transform, producing 10 bands of decreasing image quality with increasing component number and an accompanying eigenvalue graph. Following examination of the eigenvalues and eigenimages of each band, those containing a significant amount of coherent image information were selected as the basis for spectral end-members selection and image unmixing. To validate the noise-removal ability of this technique, the coherent MNF bands, produced from the transform of the ‘dry’ image, were placed through an inverse MNF transform and the resultant images were compared to the original masked imagery. 3.3.2. Linear mixture modelling Linear spectral unmixing attempts to calculate the proportion of the various surface components present in each image pixel based on the spectral characteristics of the surfaces. The number of spectral end-members used in linear unmixing must be less than or equal to one greater than the number of spectral dimensions in the data (Settle & Drake, 1993). The number of coherent MNF bands produced from each image was used as an approximation of the dimensionality of each dataset and, consequently, to estimate the number of spectral end-members that could be unmixed. The coherent MNF bands were plotted against each other in scatterplots to examine the distribution of the data in feature space and the nature of the spectral mixing. From the scatterplots the spectral end-members of each scene were identified, using a similar approach to Adams, Smith, and Gillespie (1993). The extreme of each end-member in feature space (ca. 12 – 20 pixels) was subsequently highlighted and the pure representative image pixels were identified. These image pixels were then selected and a mean spectrum was calculated for each end-member. The source of each spectral end-member was identified from a combination of aerial photographs, in situ knowledge and the mean spectra plots. The mean endmember spectra were used as the basis for ‘unconstrained’ spectral unmixing of the coherent MNF bands. This tech- 483 nique was chosen in preference to ‘constrained’ unmixing due to the potentially non-linear spectral nature of the moisture end-member in the intertidal environment (Rainey et al., 2000). The end-member pixel selection and unmixing procedure described above was an iterative process. Initially, pure pixels were selected to represent the dominant spectral end-members of each scene and used to unmix the imagery. The subsequent abundance images were then assessed using in situ knowledge of the area and the associated root mean square (RMS) error image. On this basis, it was determined whether the spectral end-members of the imagery were adequately represented by the selected end-member pixels. If this did not prove to be the case, the selection of endmember pixels was refined and the spectral unmixing of the imagery was repeated. In general, the linear unmixing of an image was found to be insensitive to variations in the selection of pixels representing distinct spectral end-members. However, where the spectral end-member was indistinct, minor variations in the selected representative pixels resulted in substantial variations in the resulting abundance imagery. As a solution to this problem, various combinations of the coherent MNF bands were plotted against each other until the extreme of the spectral end-member was better defined, making it easier to select representative pixels. 3.3.3. Calibration As detailed, sediment samples were collected during the image acquisition to enable calibration of the subsequent sediment abundance maps. The sample sites were located in the imagery from white marker boards and sample site distance measurements. The sand, mud, water and microphytobenthos abundance of each sample site was calculated from the images produced by ‘unconstrained’ linear unmixing. Regression analysis was undertaken using Mintab vs. 13. Where appropriate, best-subsets analysis was undertaken to identify the optimum multivariate regression relationship between the sample sediment characteristics derived from ground sampling and the abundance estimates derived from the linear mixture modelling. The final calibration derived from the multivariate regression analysis was subsequently used to produce maps of percentage clay and sand abundance across the intertidal area. 4. Results 4.1. Image preparation The image preparation process successfully produced a registered image of the exposed intertidal zones present within the ‘dry’ image and the ‘wet’ image subset, in the correct geometric orientation. The dark pixel subtraction technique resulted in no significant visual changes in the imagery. No path-length differences in image radiance values were observed. 484 M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 4.2. MNF transform The MNF transform of the masked ‘dry’ image produced 10 bands, of which the first four contained 93% of the total statistical variance in the 10-band image dataset and are represented by coherent eigenimages. Similarly, examination of the eigenvalues of the MNF bands produced by the transform of the ‘wet’ subset reveals that 95% of the image information is held within the first four bands of the imagery. For both images, the MNF Band 5 eigenimage was found to contain relevant information and was combined with the first four bands, and used as the basis of the end-member selection and unmixing process. The remaining incoherent bands were discarded. From the associated eigenvalues, it was determined that the images had approximately four data dimensions, suggesting that five endmembers could be successfully unmixed from each image. The coherent MNF bands produced from the ‘dry’ image underwent an inverse MNF transform and the resulting image was subsequently compared to the original ATM image. Visual inspection revealed that the original ATM bands have a higher signal-to-noise ratio, especially ATM Band 1. This suggests that the MNF transform successfully separated the majority of the image noise into the incoherent MNF bands without removing a significant amount of image information. 4.3. End-member selection From both the ‘dry’ and ‘wet’ images, four dominant spectral end-members were identified in the imagery from 2D scatterplots of various combinations of the first four MNF bands (Fig. 2). These were subsequently found to represent mud, sand, water and microphytobenthos present in the imagery. In Scatterplot 1 (Fig. 2A), the data are very compressed in feature space with only one obvious endmember, sand. Pure sand and water image pixels are more clearly identifiable in Scatterplot 2 (Fig. 2B). However, the mud end-member is masked by the microphytobenthos endmember in both Scatterplots 1 and 2, and is only clearly differentiated in Scatterplot 3 (Fig. 2C) where they have unique positions in feature space relative to the MNF Band 4. 4.4. Pure end-member image pixels For both images, the mud spectral end-member was represented by pure image pixels corresponding to areas of polygonated mud close to the edge of the saltmarsh. Pure sand pixels were identified on the ridge of a large sandbank west of Warton in the outer estuary. Areas within a large creek and channel water in the outer estuary represented the water end-members of both images. A small area of unmasked saltmarsh vegetation at the edge of a large creek from Warton Bank represented the extreme of the vegetation/ microphytobenthos end-member. The mean spectra of these representative pure pixels were found to agree in general Fig. 2. 2D scatterplots of: (A) MNF Band 1 vs. MNF Band 2, (B) MNF Band 2 vs. MNF Band 3, and (C) MNF Band 3 vs. MNF Band 4. The dominant spectral end-members are highlighted. M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 485 and the actual clay content of the sample sites (r2 = 0.79, p < 0.01). %Clay ¼ exp½1:39 þ 1:44Md Fig. 3. The mean spectra of the end-member pixels used to unmix the ‘dry’ image. with the in situ spectral knowledge of these surface types (Fig. 3) (Rainey et al., 2000). For example, in the higher bandwidths, moisture has an overall low reflectance, and sand has a substantially higher overall reflectance than mud. The mean spectra of the end-member pixels are found to be nearly identical for both the ‘dry’ and ‘wet’ images. 4.5. Intertidal mud distribution 4.5.1. ‘Dry’ ATM image The selected end-member pixels were used to linearly unmix the intertidal areas of the ‘dry’ image, producing sand, water, mud and microphytobenthos abundance maps, and an associated RMS error image. The mud abundance image appears to be an good representation of the mud distribution within the intertidal zones of the Ribble Estuary (Fig. 4). This is supported by the empirical relationship (given in Eq. (1)) between the image-derived mud abundance estimates ð1Þ where Md is the mud abundance estimate from the ‘dry’ image. Fig. 5, illustrates the relationship between the Mud Abundance estimate and percent clay content derived from surface sediment scrapings. This demonstrates that sediment clay content can be indirectly calculated from the mud abundance imagery produced by spectral unmixing. This relationship is based on 77 sample sites from three contrasting locations in the Ribble Estuary and is therefore assumed to be representative for the whole intertidal area. The associated RMS error image demonstrates that the unmixing error is relatively low within the fine-grained intertidal sediment areas. However, the spectral profiles reveal that where microphytobenthos cover is high, the mud abundance appears to be slightly underestimated (Fig. 6). In order to correct this, a multivariate regression was performed to incorporate the influence from the microphytobenthos abundance in addition to the mud abundance estimates. The empirical relationship between the abundance estimates and the observed clay content was improved (r2 = 0.815, p < 0.01), supporting the suggestion that microphytobenthos attenuates the spectral characteristics of mud (Eq. (2)). The result of the regression model is compared to the original sediment data in Fig. 7. %Clay ¼ exp½1:56 þ 1:04Md þ 0:677Bd ð2Þ where Bd is the microphytobenthos abundance estimate from the ‘dry’ image. The exponential models described by Eqs. (1) and (2) provide the optimum relationships between image abundance and sample-derived results. Whilst linear unmixing Fig. 4. Subset of the mud abundance image produced from the ‘dry’ image. 486 M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 Fig. 5. Regression plot of the relationship between mud abundance and clay content derived from sediment samples (r2 = 0.79, p < 0.01). was used, the relationship between mud abundance and clay content is clearly non-linear. The use of natural logarithms also normalises the data distribution for the percentage clay content results satisfying the conditions for regression analysis. Fig. 7 justifies the comparison of the model and sample derived percent clay content, and also demonstrates likely magnitude of the sampling error (1 standard deviation) derived from Table 1. This demonstrates that much of the scatter about the regression line may be accounted for by sampling error and that even though ‘unconstrained’ spectral unmixing was used, the final calibrated results do no exceed the physical bounds of 0 –100% clay content. Similarly, surface water is found to mask the true spectral characteristics of the underlying mud, causing underestimation (Fig. 8). High interstitial moisture contents, however, appears to only influence the reflectance characteristics of areas where the mud signal is very weak, i.e. the actual clay levels are lower than 2%. Finally, the channel walls and the Fig. 7. Comparison between image predicted clay content (Eq. (2)) and clay content derived from sediment samples (r2 = 0.815, p < 0.01). Error bars indicate sampling error, expressed as 1 standard deviation. stone-topped large ridges, found in a number of locations in the Ribble Estuary, e.g. Longton area, were misclassified as areas of high mud abundance, probably due to the similar spectral nature of these surface types. Mud draping may be a contributing factor to this miss classification. 4.5.2. ‘Wet’ ATM image As with the ‘dry’ image, the mud abundance estimates derived from the ‘wet’ image have a strong empirical relationship (r2 = 0.765, p < 0.01) with the clay content of the sample sites measured (Eq. (3)). %Clay ¼ exp½0:995 þ 4:13ðMw Þ ð3Þ where Mw is the mud abundance estimate from the ‘wet’ image. Fig. 6. Profile of microphytobenthos and mud abundance from the saltmarsh edge to the main channel, illustrating the attenuating effects of microphytobenthos on the ‘dry’ 1997 mud abundance image. M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 Table 1 Variation in surface percentage clay measurements made within 2 m2 quadrats in the exposed intertidal sediments in the Ribble Estuary Quadrat Coefficient of variation (%) Quadrat 1 ‘‘mud’’ Quadrat 2 silt Quadrat 3 sand 20.59 24.71 53.01 Examination of the associated RMS error image revealed that the unmixing error increased in the fine-grained areas where the intertidal sediments are covered by microphytobenthos. The mud abundance values are also found to decrease significantly in the areas of high microphytobenthos abundance. Consequently, it was determined that the microphytobenthos present attenuated the spectral signal of the mud resulting in underestimation of mud abundance, as observed in the ‘dry’ image results. To correct for this effect, the microphytobenthos and mud abundance estimates were combined and correlated against actual clay content (Eq. (4)). %Clay ¼ exp½1:02 þ 3:55Mw þ 4:29Bw ð4Þ where Bw is the microphytobenthos abundance estimate from the ‘wet’ image. This marginally improved the relationship between the combined estimates and actual clay content, supporting the theory that microphytobenthos partially masks the spectral signal of the mud (r2 = 0.790, p < 0.01). Finally, as in the ‘dry’ image results, pools of surface water severely attenuated the spectral signal of mud and the channel walls were misclassified as being areas of high mud abundance. 487 4.6. Intertidal sand distribution 4.6.1. ‘Dry’ ATM image A significant, though weak, linear relationship was found between the sand content of the sample sites and the abundance image estimates (r2 = 0.60, p < 0.01). The associated RMS error image demonstrated that the unmixing error within the sand-dominated areas is approximately 1 order of magnitude greater than that within the mud-dominated areas of the imagery. Spectral profiles within the sand abundance image reveal that the estimated sand increases towards the main channel from the saltmarsh, as expected from field investigations (Fig. 9). However, the increase in sand abundance is gradual unlike the steep increase followed by a plateau observed in reality. An explanation for this difference is the equally steep increase in moisture abundance estimates of the sediments at the base of the sloped mudflats. Consequently, it is proposed that the greater spectral attenuation caused by the increasing interstitial moisture contents results in an underestimation of sand abundance, which smoothes the expected steep increase. To correct this, the moisture abundance image was combined with the sand abundance image, and this multiple linear regression improved the relationship between the estimated and observed sand contents significantly (r2 = 0.82, p < 0.01). A further improvement was gained by adding the microphytobenthos abundance into the multiple regression (r2 = 0.844, p < 0.01), Eq. (5). Only small isolated areas of polygonated mud close to the saltmarsh were misclassified as having high sand abundance; it is suggested that this is a product of halite efflorescence in these areas (Bryant et al., 1996). %Sand ¼ 35:6 33:7Sd þ 59:2Wd 92:7Bd ð5Þ where Sd is the sand abundance estimate and Wd is the moisture abundance estimate from the ‘dry’ image. Fig. 8. Profile of mud and moisture abundance from the saltmarsh edge to the main channel, illustrating the attenuating effects of surface moisture on the ‘dry’ 1997 mud abundance image. 488 M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 Fig. 9. Profile of sand and moisture abundance from the saltmarsh edge to the main channel, illustrating the attenuating effects of moisture on the ‘dry’ 1997 sand abundance image. Fig. 10 shows the relationship between the modelled prediction (Eq. (5)) and the ground reference sample points. The disproportionate number of samples with high sand content reflects the sediment characteristics of the sites selected, making the data difficult to normalise. However, the relative linearity of calibration, when moisture and microphytobenthos is taken into consideration is supported by laboratory based spectroradiometry measurements reported in Rainey et al. (2000). As with clay content, Fig. 10 shows that following the recombination of the ‘unconstrained’ spectral unmixing end-member abundances, the final image calibration does not result in sand abundances out with the physical limits of 0% to 100% sand content. 4.6.2. ‘Wet’ ATM image The sand abundance estimates, produced from the subset of the ‘wet’ ATM image, demonstrate no significant association with the percentage sand of the in situ samples (r2 = 0.059). Spectral profiles through the sand abundance image suggested that high sediment moisture contents were attenuating the spectral signal of the sand, as in the abundance imagery of the ‘dry’ image. To correct for this, the sand, moisture and microphytobenthos abundance estimates were combined and the result was compared to the actual sand contents. A strong relationship was evident (r2 = 0.80, p < 0.01), demonstrating that where high interstitial moisture contents exist the image analysis technique fails to unmix the spectral characteristics of sand. As observed in the ‘dry’ abundance imagery, polygonated mud is misclassified in the sand image as areas of high abundance. Fig. 10. Comparison between image derived estimate of sand content (Eq. (5)) and sand content derived from sediment samples (r2 = 0.82, p < 0.01). Fig. 11. Subset of the percentage clay map produced from the ‘dry’ 1997 abundance imagery. M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 4.7. Clay maps of the Ribble Estuary The principle outcome of this study, is a complete map of clay distribution within the intertidal sediments of the Ribble Estuary. This map is based primarily on the mud and microphytobenthos abundance images produced from the ‘dry’ ATM imagery (Fig. 11). This is due to the strong association that exists between the percentage clay content of the sample sites and the combined mud and microphytobenthos abundance estimates (r2 = 0.815, p < 0.01). The exponential regression equation that defines this relationship was used to convert the abundance imagery into a map of percentage clay (Eq. (2)). 5. Discussion This study has shown that ATM imagery, collected under relatively well-defined environmental conditions, can be used to quantitatively map the distributions of sediments within the intertidal reaches of an estuary. It is suggested that the distribution of the fine-grained sediments within the Ribble Estuary on May 30, 1997 is represented in the mud abundance image produced from the ‘dry’ ATM image (Fig. 4). This proposal is based on the strong relationship observed between the actual clay content and the estimated mud abundance of the sample sites (r2 = 0.79). This supports the linear unmixing of ATM imagery to produce ‘mud’ abundance images, as a means of determining the percentage clay content distribution within the intertidal areas. The distribution of mud in the ‘wet’ abundance image (Fig. 4), is closely correlated with that of the ‘dry’ image although the latter is marginally more accurate. This suggests that during the first hour and a half of intertidal exposure, before the collection of the first line of imagery, the sediments lost sufficient moisture to allow the mud distribution to be accurately mapped. The topographic relief of the mudflat areas close to the saltmarsh probably contributed substantially to the loss of moisture in these regions. However, in the more recently exposed flat sand-dominated areas the sediments have less opportunity to lose moisture within the first 1 1/2 h. This may explain the relatively high moisture abundance estimates of these areas as derived from the ‘wet’ imagery. It seems reasonable to suggest that the higher moisture content contributed to the marginally weaker relationship between the sampled clay content and the mud abundance estimates derived from the ‘wet’ image, in comparison to that of the ‘dry’ imagery. This has important implications on the timing of image acquisition for quantitative mapping of sediment grain size distributions, as also indicated in Rainey et al. (2000). The ability to estimate the clay content imagery is improved when the microphytobenthos abundance is included in the regression equation (r2 = 0.815; Fig. 7). This suggests that the microphytobenthos is causing an underes- 489 timation of the mud present, as suggested by some abundance profiles (Fig. 5). The degree of underestimation may well be a function of microphytobenthos biomass. Again, it seems reasonable to compensate for the presence of microphytobenthos, and this is supported by the improvement of the relationship between the image estimates and the clay content of the sample sites. In addition to microphytobenthos, surface water attenuates the spectral signal of the intertidal sediments to such a degree that they are almost completely masked out (Fig. 6). Consequently, the mud abundance estimates drop sharply where surface water is present. If more detailed in situ knowledge of the surface pools had been available it may have been possible to identify all the surface water directly from the water abundance image. This may then have allowed for a suitable correction to be applied to the affected areas of the abundance imagery. However, this further justifies the need to maximise the intertidal drying time to minimise the affect of surface water. The clay abundance image, produced from the ‘dry’ mud abundance image, is an accurate representation of clay distribution within the Ribble Estuary, for May 30th 1997. Excellent correlations between the image abundance estimates and the sample clay content were found. It is interesting to note that much of the remaining scatter in these relationships may be accounted for by sampling and analytical error. The methodology presented therefore forms a useful protocol for mapping intertidal sediment grain size distributions using multispectral sensors that measure within the SWIR from airborne platforms. The ability to map sand abundance from ATM imagery is also dependent on the moisture content and microphytobenthos cover of the sediments. This is demonstrated by the contrasting relationships of the ‘wet’ and ‘dry’ sand abundance imagery, with the sand content of the sample sites. During the 3 h of sediment exposure between the acquisition of these images, it is suggested that the sediments were able to lose sufficient interstitial moisture to reduce significantly the attenuation of sand’s spectral characteristics in particular. This resulted in the map of sand distribution produced from the ‘dry’ image being considerably more accurate (r2 = 0.60) than that produced from the ‘wet’ imagery (r2 = 0.059). It has also been shown that by combining the water and microphytobenthos abundance image with the sand abundance image, the ability to estimate percentage sand is improved considerably (r2 = 0.844 for ‘dry’ image data; r2 = 0.8 for ‘wet’ image data). Given the exceptional atmospheric clarity during image acquisition and application of a dark pixel subtraction to the image, subsequent use of the calibrations described here may be achieved on ATM imagery of the Ribble which has been normalised to the original May 1997 image data set. More generic application of these calibrations will be susceptible to atmospheric correction techniques employed and would need to be re-evaluated appropriately. 490 M.P. Rainey et al. / Remote Sensing of Environment 86 (2003) 480–490 6. Conclusions An image analysis technique for mapping percentage clay content distribution within the intertidal zones of an estuary at low tide has been presented. This technique was proven effective by the production of accurate maps of intertidal sediment abundance from raw ATM imagery. It has been shown that the period of sediment exposure before image collection is important to the accuracy of the final results, supporting the findings of earlier reflectance spectroradiometry. Although accurate maps of clay abundance may be created from imagery acquired following a short period (1 1/ 2 h) of sediment exposure, a more accurate product is produced from imagery following an extended period (4 1/ 2 h) of exposure. This determinant has been shown to have even more serious implications on the ability to map sand contents within this region. However, by combining image end member abundances through multivariate regression analysis, it is possible to produce suitably accurate calibration models for mapping intertidal grain size distributions. Acknowledgements This research was funded the by the University of Stirling and BNFL through Westlakes Scientific Consulting. 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