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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">REMSE</journal-id>
<journal-title>Remote Sensing</journal-title>
<issn pub-type="epub">2072-4292</issn>
<publisher>
<publisher-name>Molecular Diversity Preservation International (MDPI)</publisher-name></publisher></journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3390/rs4030661</article-id>
<article-id pub-id-type="publisher-id">remotesensing-04-00661</article-id>
<article-categories>
<subj-group>
<subject>Article</subject></subj-group></article-categories>
<title-group>
<article-title>The Influence of DEM Quality on Mapping Accuracy of Coniferous- and Deciduous-Dominated Forest Using TerraSAR–X Images</article-title></title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Ortiz</surname><given-names>Sonia M.</given-names></name><xref ref-type="aff" rid="af1-remotesensing-04-00661"><sup>1</sup></xref><xref ref-type="corresp" rid="c1-remotesensing-04-00661"><sup>*</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Breidenbach</surname><given-names>Johannes</given-names></name><xref ref-type="aff" rid="af2-remotesensing-04-00661"><sup>2</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Knuth</surname><given-names>Ralf</given-names></name><xref ref-type="aff" rid="af3-remotesensing-04-00661"><sup>3</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Kändler</surname><given-names>Gerald</given-names></name><xref ref-type="aff" rid="af1-remotesensing-04-00661"><sup>1</sup></xref></contrib></contrib-group>
<aff id="af1-remotesensing-04-00661">
<label>1</label>Department of Biometrics, Forest Research Institute of Baden-Württemberg, Wonnhaldestr. 4, D-79100 Freiburg, Germany; E-Mail: <email>gerald.kaendler@forst.bwl.de</email></aff>
<aff id="af2-remotesensing-04-00661">
<label>2</label>Norwegian Forest and Landscape Institute, Postboks 115, N-1431 Ås, Norway; E-Mail: <email>job@skogoglandskap.no</email></aff>
<aff id="af3-remotesensing-04-00661">
<label>3</label>Department of Earth Observation, University of Jena, Grietgasse 6, D-07743 Jena, Germany; E-Mail: <email>ralf.knuth@uni-jena.de</email></aff>
<author-notes>
<corresp id="c1-remotesensing-04-00661">
<label>*</label>Author to whom correspondence should be addressed; E-Mail: <email>sonia.ortiz@forst.bwl.de</email>; Tel.:+49-761-4018-328; Fax: +49-761-4018-333.</corresp></author-notes>
<pub-date pub-type="collection">
<year>2012</year></pub-date>
<pub-date pub-type="epub">
<day>06</day>
<month>03</month>
<year>2012</year></pub-date>
<volume>4</volume>
<issue>3</issue>
<fpage>661</fpage>
<lpage>681</lpage>
<history>
<date date-type="received">
<day>12</day>
<month>02</month>
<year>2012</year></date>
<date date-type="rev-recd">
<day>29</day>
<month>02</month>
<year>2012</year></date>
<date date-type="accepted">
<day>01</day>
<month>03</month>
<year>2012</year></date></history>
<copyright-statement>© 2012 by the authors; licensee MDPI, Basel, Switzerland.</copyright-statement>
<copyright-year>2012</copyright-year>
<license>
<p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (<ext-link xlink:href="http://creativecommons.org/licenses/by/3.0/" ext-link-type="uri">http://creativecommons.org/licenses/by/3.0/</ext-link>).</p></license>
<abstract>
<p>Climate change is a factor that largely contributes to the increase of forest areas affected by natural damages. Therefore, the development of methodologies for forest monitoring and rapid assessment of affected areas is required. Space-borne synthetic aperture radar (SAR) imagery with high resolution is now available for large-scale forest mapping and forest monitoring applications. However, a correct interpretation of SAR images requires an adequate preprocessing of the data consisting of orthorectification and radiometric calibration. The resolution and quality of the digital elevation model (DEM) used as reference is crucial for this purpose. Therefore, the primary aim of this study was to analyze the influence of the DEM quality used in the preprocessing of the SAR data on the mapping accuracy of forest types.</p>
<p>In order to examine TerraSAR-X images to map forest dominated by deciduous and coniferous trees, High Resolution SpotLight images were acquired for two study sites in southern Germany. The SAR images were preprocessed with a Shuttle Radar Topography Mission (SRTM) DEM (resolution approximately 90 m), an airborne laser scanning (ALS) digital terrain model (DTM) (5 m resolution), and an ALS digital surface model (DSM) (5 m resolution). The orthorectification of the SAR images using high resolution ALS DEMs was found to be important for the reduction of errors in pixel location and to increase the classification accuracy of forest types. SAR images preprocessed with ALS DTMs resulted in the highest classification accuracies, with kappa coefficients of 0.49 and 0.41, respectively. SAR images preprocessed with ALS DTMs resulted in greater accuracy than those preprocessed with ALS DSMs in most cases. The classification accuracy of forest types using SAR images preprocessed with the SRTM DEM was fair, with kappa coefficients of 0.23 and 0.32, respectively.</p>
<p>Analysis of the radar backscatter indicated that sample plots dominated by coniferous trees tended to have lower scattering coefficients than plots dominated by deciduous trees. Leaf-off images were only slightly better suited for the classification than leaf-on images. The combination of leaf-off and leaf-on improved the classification accuracy considerably since the backscatter changed between seasons, especially in deciduous-dominated forest.</p></abstract>
<kwd-group>
<kwd>forest inventory</kwd>
<kwd>classification</kwd>
<kwd>orthorectification</kwd>
<kwd>SAR</kwd>
<kwd>DEM</kwd>
<kwd>TerraSAR-X</kwd>
<kwd>accuracy</kwd></kwd-group></article-meta></front>
<body>
<sec sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>It is expected that climate change will increase forest areas affected by natural damages such as storms, heavy rainfall, wildfires and insect attacks [<xref ref-type="bibr" rid="b1-remotesensing-04-00661">1</xref>]. The development of methodologies for monitoring and rapid assessment of forests impacted by hazardous natural processes is therefore increasingly important [<xref ref-type="bibr" rid="b2-remotesensing-04-00661">2</xref>]. The mapping of forest types (deciduous and coniferous) and tree species composition is essential for reasonable long-term forest monitoring [<xref ref-type="bibr" rid="b3-remotesensing-04-00661">3</xref>]. Forest mapping and monitoring surveys are often based on costly and time-consuming field work. Satellite remote sensing data can facilitate these procedures over large forest areas and contribute to enhanced forest assessments [<xref ref-type="bibr" rid="b4-remotesensing-04-00661">4</xref>]. Optical sensors (passive remote sensing systems) are useful for forest monitoring in general [<xref ref-type="bibr" rid="b5-remotesensing-04-00661">5</xref>]. However, the disadvantage of optical systems is the dependency on weather factors such as clouds or poor solar illumination, which could obscure the areas of concern [<xref ref-type="bibr" rid="b6-remotesensing-04-00661">6</xref>]. On the other hand, active remote sensing systems, such as synthetic aperture radar (SAR) are less affected by weather conditions. Additionally, their backscatter reveals information related to physiognomic and dielectric properties which often do not appear in other remote sensing data [<xref ref-type="bibr" rid="b7-remotesensing-04-00661">7</xref>]. This backscatter information can also be utilized to classify forest types and identify changes of forest cover in areas where optical data is difficult to obtain.</p>
<p>The development of SAR satellites during the 1980s and 1990s prompted several research studies to explore the potential of SAR systems for forest applications, including tree species classification [<xref ref-type="bibr" rid="b8-remotesensing-04-00661">8</xref>,<xref ref-type="bibr" rid="b9-remotesensing-04-00661">9</xref>]. Knowlton and Hoffer [<xref ref-type="bibr" rid="b7-remotesensing-04-00661">7</xref>] reported that the tonal and textural features of X-band SAR images allowed the differentiation between forest types. Churchill and Keech [<xref ref-type="bibr" rid="b10-remotesensing-04-00661">10</xref>] then confirmed that SAR texture contributes to the classifying of forest types. They observed a tendency of deciduous stands to display coarser textures than conifer stands. Furthermore, it was determined that mixed stands display intermediate texture and appear coarser than conifers, however not to the same extent as deciduous stands. Leckie [<xref ref-type="bibr" rid="b11-remotesensing-04-00661">11</xref>] discovered that X-band was superior to visible and near infrared bands when discriminating between conifer and deciduous stands. However, Leckie [<xref ref-type="bibr" rid="b11-remotesensing-04-00661">11</xref>] remarked that it proved less suitable when distinguishing between broadleaved species. Rignot <italic>et al.</italic> [<xref ref-type="bibr" rid="b12-remotesensing-04-00661">12</xref>] employed SAR data at different wavelengths to map forest types in the boreal forest of Alaska, obtaining the best result by combining the L- and C-band. They concluded that spaceborne SAR systems offer limited mapping functions when used alone. Dobson <italic>et al.</italic> [<xref ref-type="bibr" rid="b13-remotesensing-04-00661">13</xref>] utilized different satellite SAR images for land cover classification in Michigan, USA. They initially classified surface, short and tall vegetation and were able to subdivide trees into coniferous and deciduous. For the forest classification, the combination of two data sets yielded an accuracy of 94%, which was significantly higher than the individual use of the ERS-1 (64%) and the JERS-1 (66%) data sets. The capabilities of SAR data at P-, L-, and C-Band of classifying boreal forest types were again evaluated by Saatchi and Rignot [<xref ref-type="bibr" rid="b14-remotesensing-04-00661">14</xref>] in western Canada. They classified SAR images into dominant forest species such as jack pine, black spruce, trembling aspen as well as clearing and mixed stands with 90% classification accuracy.</p>
<p>Although the benefits of spaceborne SAR data for forest mapping have been clearly demonstrated, the classification accuracy of forest types using X-band SAR frequently proved to be worse when compared to other bands [<xref ref-type="bibr" rid="b14-remotesensing-04-00661">14</xref>]. Recent studies related to forest coverage were mostly based on P- L- or C-band SAR [<xref ref-type="bibr" rid="b15-remotesensing-04-00661">15</xref>]. However, the accuracy of spaceborne X-band SAR sensors has developed considerably in the last few years which has resulted in the availability of high resolution multitemporal data [<xref ref-type="bibr" rid="b15-remotesensing-04-00661">15</xref>]. Consequently, the assessment of X-band SAR for the classification of forest types appears to be justified.</p>
<p>TerraSAR-X is a radar satellite in X-band that provides data in high spatial and temporal resolution [<xref ref-type="bibr" rid="b16-remotesensing-04-00661">16</xref>]. The system is able to produce images with up to 1 m spatial resolution in its highest imaging mode and is capable of revisiting times of up to two days. TerraSAR-X was recently extended to TanDEM-X to acquire a global digital elevation model (DEM) until 2014 [<xref ref-type="bibr" rid="b17-remotesensing-04-00661">17</xref>]. Until now, there have been few studies on the use of TerraSAR-X images in forestry. Breidenbach <italic>et al.</italic> [<xref ref-type="bibr" rid="b18-remotesensing-04-00661">18</xref>] used the mean and standard deviation of the backscatter to separate forest and non-forest areas. Perko <italic>et al.</italic> [<xref ref-type="bibr" rid="b4-remotesensing-04-00661">4</xref>] used TerraSAR-X data for classification of forest and non forest areas based on texture of the radar backscatter, coherence information and a canopy height model derived with a multi-image stereo radargrammetric approach. Karjalainen <italic>et al.</italic> [<xref ref-type="bibr" rid="b19-remotesensing-04-00661">19</xref>] followed a similar approach to estimate forest parameters such as volume, basal area and canopy height. Holopainen <italic>et al.</italic> [<xref ref-type="bibr" rid="b20-remotesensing-04-00661">20</xref>] used the TerraSAR-X backscatter in combination with airborne laser scanning (ALS) data and found that the SAR backscatter improved the prediction of some forest parameters compared to using ALS alone.</p>
<p>Adequate preprocessing of SAR images is fundamental for the classification of the land surface [<xref ref-type="bibr" rid="b21-remotesensing-04-00661">21</xref>]. For example, Beaudoin <italic>et al.</italic> [<xref ref-type="bibr" rid="b22-remotesensing-04-00661">22</xref>] demonstrated the benefits of adequate orthorectification of ERS-1 SAR data over hilly terrain for the discrimination of coniferous and deciduous forest. The accuracy of the orthorectified image depends on the accuracy of DEM and the subsequent interpolation errors [<xref ref-type="bibr" rid="b23-remotesensing-04-00661">23</xref>]. Koppe <italic>et al.</italic> [<xref ref-type="bibr" rid="b24-remotesensing-04-00661">24</xref>] confirmed the significance of the DEM in pixel location accuracy of orthorectified TerraSAR-X images. The aim of this study was to examine the influence of DEM quality on the classification accuracy of deciduous- and coniferous-dominated forest types using TerraSAR-X images. Therefore, High Resolution SpotLight (HS) data preprocessed with three different DEMs were compared. The DEMs were (i) the DEM of the NASA Shuttle Radar Topography Mission (SRTM), with a resolution of 3 arc seconds; (ii) a digital terrain model (DTM) with 5 m resolution obtained from ALS ground returns and (iii) a digital surface model (DSM) with 5 m resolution obtained from ALS vegetation returns. The level of X-band backscatter in forested areas depends on the properties of the outer layer of tree crowns [<xref ref-type="bibr" rid="b8-remotesensing-04-00661">8</xref>]. Consequently, we hypothesized that images corrected with a high resolution digital surface model (DSM) deliver more accurate pixel positions and thus higher classification accuracy. Additionally, SAR images acquired in summer and winter were compared to determine whether leaf-on or leaf-off conditions are better suited for forest classification.</p>
<p>Sections 2 and 3 provide an overview of the study sites and the remote sensing data, whereas Section 4 describes the methods. The results are summarized and discussed in Sections 5 and 6. Finally, some conclusions and suggestions for future research are given in Section 7.</p></sec>
<sec sec-type="methods">
<label>2.</label>
<title>Study Sites and Reference Data</title>
<p>Two study sites in south-western Germany with different topography and species composition (<xref ref-type="fig" rid="f1-remotesensing-04-00661">Figure 1</xref>) were available. In the study site at Pforzheim (48°52′N, 8°42′E) the topography is steep and hilly. The altitude varies between 260 m and 585 m above sea level. Dominant tree species are beech (Fagus sylvatica L.) and silver fir (Abies alba Mill), which each cover 20% of the area. Scots pine (Pinus sylvestris L.), Norway spruce (Picea abies (L.) Karst.) and douglas fir (Pseudotsuga menziesii (Mirb.) Franco) each cover 15% of the area. The remaining 15% is composed of oak (Quercus rubra and Quercus petrea (Liebl.)) with 8%; Norway maple (Acer platanoides) 3%; ash (Fraxinus excelsior) 2%; and alder and larch (Alnus glutinosa and Larix decidua) each covering 1% of the area [<xref ref-type="bibr" rid="b25-remotesensing-04-00661">25</xref>]. The age of the forest stands ranged between 10 and 200 years. The forest inventory in 2005 indicated that 30% of the trees were smaller than 15 m, 40% were between 15 m and 25 m high, and 30% were higher than 25 m [<xref ref-type="bibr" rid="b26-remotesensing-04-00661">26</xref>].</p>
<p>The topography in the study site at Biberach (48°8′N, 9°43′E) is rather flat with variations in altitude between 500 m and 650 m above sea level. The forest district consists of a temperate coniferous forest dominated by Norway spruce (Picea abies (L.) Karst.), which covers 71% of the area. Other tree species are beech (Fagus sylvatica L.) with 14% and oak (Quercus rubra and Quercus petrea (Liebl.)) with 5%. The remaining 10% of the forest consist of Douglas fir (Pseudotsuga menziesii (Mirb.) Franco), ash (Fraxinus excelsior), Scots pine (Pinus sylvestris L.), silver fir (Abies alba Mill) and larch (Larix decidua); each covering approximately 2% of the area [<xref ref-type="bibr" rid="b25-remotesensing-04-00661">25</xref>]. The age of the forest stands ranged between 10 and 100 years. Tree heights varied between 10 m and 35 m. 10% of the trees were below 15 m high, 40% were between 15 m and 25 m high, 35% between 25 m and 30 m high and 15% were higher than 35 m [<xref ref-type="bibr" rid="b27-remotesensing-04-00661">27</xref>].</p>
<p>In 2005, a forest inventory was conducted in the study site at Pforzheim [<xref ref-type="bibr" rid="b26-remotesensing-04-00661">26</xref>]. The inventory sample plots were arranged in a regular grid of 100 m by 200 m. Each sample plot consisted of three concentric subplots of 12, 6, and 3 m radius, with trees measured at each circular plot depending on threshold diameters at breast height (dbh) of 30, 15, and 10 cm, respectively. This means that trees with a dbh over 30 cm are measured in plots of 12 m radius, trees with dbh between 15 cm and 30 cm are measured in plots of 6 m radius and trees with a dbh below the 15 cm are measured only in a radius of 3 m. Characteristics such as height, dbh and species were measured during the data collection. See [<xref ref-type="bibr" rid="b28-remotesensing-04-00661">28</xref>] for a more precise description of the Baden-Württemberg State Forest sampling protocol that was also followed in the forest inventory used here.</p>
<p>No adequate inventory data was available in the study site at Biberach. Therefore, a grid of plots following the same scheme as the forest inventory in Pforzheim (plots of 12 m radius and spacing of 100 m by 200 m with a random origin) was laid over the study site. The generated plots were classified by visual interpretation of an expert using colour ortho-photographs from 2007 with a spatial resolution of 25 cm.</p>
<p>A total of 365 plots at Pforzheim and 360 plots at Biberach were available as reference for the forest classification. At Pforzheim, the dominant forest type (coniferous or deciduous) for a plot was defined according to the percentage of basal area by deciduous or coniferous species per hectare recorded during the forest inventory in the field. A threshold of 50% was used to decide whether a plot was dominated by deciduous or coniferous trees. In addition, official forest stands maps from 2006 and 2007 were used as visual reference information to evaluate the predictions obtained with the algorithms proposed for the classification of the forest areas. These maps contain information about the percentage of coverage by species per stand based on field estimations [<xref ref-type="bibr" rid="b25-remotesensing-04-00661">25</xref>].</p></sec>
<sec sec-type="methods">
<label>3.</label>
<title>Remote Sensing Data</title>
<p>High Resolution SpotLight mode (HS) TerraSAR-X data with an extent of 5 by 10 km were acquired by the German Aerospace Centre (DLR) for the two study sites in 2008 and 2009. The images were provided as Single Look Slant Range Complex (SSC) products [<xref ref-type="bibr" rid="b29-remotesensing-04-00661">29</xref>]. The images were delivered using science orbit information for high accuracy preprocessing [<xref ref-type="bibr" rid="b24-remotesensing-04-00661">24</xref>]. Details regarding each data set are given in <xref ref-type="table" rid="t1-remotesensing-04-00661">Table 1</xref>. In this study, only images in HH polarization were analysed.</p>
<p>Weather recordings were acquired seven days before and during the data acquisitions from the weather stations Pforzheim-Ispringen [<xref ref-type="bibr" rid="b30-remotesensing-04-00661">30</xref>] and Augustenberg [<xref ref-type="bibr" rid="b31-remotesensing-04-00661">31</xref>]. These are the two weather stations located closest to the respective study sites. The station in Pforzheim reported a total of 15 mm rainfall before each acquisition (25.07.2008 and 13.03.2009), while the measured rainfall in Biberach was 45 mm between 24.03.2009 and 31.03.2009 and 5 mm between 02.08.2009 and 09.08.2009. Mean temperature in Pforzheim was 5 °C and 16 °C in March and July respectively, while in Biberach it was 4 °C and 18 °C respectively.</p>
<p>Three DEMs were used for the preprocessing of the SAR data: the SRTM DEM Version 4, with spatial resolution of 3 arc seconds (approximately 90 m ground resolution), with WGS84 as the horizontal and EGM96 as the vertical datum [<xref ref-type="bibr" rid="b32-remotesensing-04-00661">32</xref>]; as well as DTMs and DSMs derived from ALS data, with resolution of 5 m, UTM coordinates and DHHN92 vertical datum [<xref ref-type="bibr" rid="b33-remotesensing-04-00661">33</xref>]. In the DHHN92 system the heights were calculated as normal heights with the normal gravity formula of the Geodetic Reference System 1980 (GRS 80) in the level of the NAP [<xref ref-type="bibr" rid="b34-remotesensing-04-00661">34</xref>]. The ALS data was collected in winter 2001 and 2002 for the Laser Scanning DTM Project of Baden-Württemberg [<xref ref-type="bibr" rid="b33-remotesensing-04-00661">33</xref>] with an approximate point density of 0.5 m<sup>−s2</sup>. This data was provided by the Land and Survey bureau of Baden-Württemberg (LGL). DTMs were computed from the ALS last returns and DSMs from the ALS first returns using the software TreesVis [<xref ref-type="bibr" rid="b35-remotesensing-04-00661">35</xref>].</p></sec>
<sec sec-type="methods">
<label>4.</label>
<title>Methods</title>
<sec sec-type="methods">
<label>4.1.</label>
<title>Preprocessing of SAR Data</title>
<p>Firstly, an absolute calibration of the backscattered complex signal was carried out applying the constant factor (κ) delivered with the data, which is equivalent to computing the radar brightness (β<sup>0</sup>) that represents the radar reflectivity per unit area in slant range and is obtained by [<xref ref-type="bibr" rid="b36-remotesensing-04-00661">36</xref>]:
<disp-formula id="FD1">
<label>(1)</label>
<mml:math id="mm1" display="block">
<mml:mrow>
<mml:msup>
<mml:mrow>
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<mml:mo>|</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>where i and q represent the imaginary and real parts of the images, respectively.</p>
<p>High Resolution SpotLight mode data provides looks of an image from different viewing angles. As a result, a multilooking technique was used to enhance the quality of the images, by reducing the variability of the individual pixel values induced by non-coherent averaging of the multiple, statistically independent looks [<xref ref-type="bibr" rid="b37-remotesensing-04-00661">37</xref>]. This procedure considers the different looks of the image as multiple independent images that are averaged to obtain a new image called <italic>multi-look image</italic>. The multilooking in range and azimuth direction depends on the SAR scene and the desired pixel size. As a result, images with lower spatial resolution than the original scene but less radar speckle were obtained. In order to preserve the highest amount of radiometric information as possible but reducing considerably the radar speckle, we decided to produce images in 5 m pixel size, applying multilooking factors between 2 and 4 depending on the scene.</p>
<p>The multi-looked SAR images were orthorectified using the selected DEMs in their original horizontal and vertical datums. However, the SRTM DEM had to be oversampled to 5 m applying a “sinc interpolation” algorithm [<xref ref-type="bibr" rid="b38-remotesensing-04-00661">38</xref>]. The orthorectification of the SAR images was based on a look-up table containing the transformation between the radar and the map geometry [<xref ref-type="bibr" rid="b39-remotesensing-04-00661">39</xref>]. The look-up table was derived from orbital information and elevation of the DEMs, and was refined for more precision by estimating offsets between the SAR image and a simulated SAR image derived from the DEM as reference [<xref ref-type="bibr" rid="b40-remotesensing-04-00661">40</xref>]. The simulated SAR image was transformed to radar geometry and the two images were subsequently divided into small parts, which in turn compared using a cross-correlation algorithm to identify the offsets. A linear polynomial derived from the identified offsets was applied to refine the look-up table. The SAR image was finally transformed to map geometry using the refined look-up table. The map projection of the orthorectified images was UTM zone 32N.</p>
<p>To correct the effects of the incidence angle as well as to eliminate topographic effects, the SAR data were radiometrically calibrated and topographically normalized by calculating sigma naught (σ<sup>0</sup>) and gamma naught (γ<sup>0</sup>) images [<xref ref-type="bibr" rid="b41-remotesensing-04-00661">41</xref>]. Given the local incidence angle, the scattering coefficients are obtained by:
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<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Θ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mtext>loc</mml:mtext></mml:mrow></mml:msub></mml:mrow>
<mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>where Θ<sub>loc</sub> is the local incidence angle, β<sup>0</sup> constitutes the radar brightness, σ<sup>0</sup> represents the radar reflectivity per unit area in ground range assuming a flat terrain and γ<sup>0</sup> is the fully terrain corrected reflectivity.</p>
<p>The average and standard deviation of the scattering coefficients within each sample plot were used as explanatory variables for statistical modeling. The data preprocessing, with the DEMs derived from ALS data (ALS DEMs), was carried out in the GAMMA software suite [<xref ref-type="bibr" rid="b42-remotesensing-04-00661">42</xref>], which supports the original coordinate system of the ALS DEMs. Preprocessing with the SRTM was carried out with the open source Next ESA SAR Toolbox (4B) [<xref ref-type="bibr" rid="b38-remotesensing-04-00661">38</xref>], which especially supports the orthorectification with SRTM and provides more accurate algorithms for its resampling.</p></sec>
<sec sec-type="methods">
<label>4.2.</label>
<title>Data Analysis</title>
<p>The primary focus of the data analysis was the classification of deciduous- and coniferous-dominated forest using TerraSAR-X images preprocessed with different DEMs. However, considering the fact that the level of accuracy of the pixel location influences the successful linking of ground truth reference data and the remote sensing data, the first step of the analysis was an exploratory evaluation of the pixel location accuracy of orthorectified images.</p>
<sec sec-type="methods">
<label>4.2.1.</label>
<title>Location Accuracy of Orthorectified SAR Data</title>
<p>The analysis of the pixel location accuracy was based on the comparison of coordinates of 35 reference points identifiable in the SAR images as well as in an official digital topographic map in scale 1:25,000. The reference map was available in raster format with a location accuracy of about 1.5 m. The reference map is based on orthophotos from 2007 scale 1:10,000 [<xref ref-type="bibr" rid="b43-remotesensing-04-00661">43</xref>].</p>
<p>Most of the reference points were located at road crossings. The accuracy was assessed based on the root mean squared error (RMSE). The grainy appearance of the SAR images [<xref ref-type="bibr" rid="b21-remotesensing-04-00661">21</xref>] complicated the detection of the reference points on fine display scales. Therefore, they were digitized using display scales between 1:3,500 and 1:4,500. On these display scales we did not identify single pixels, but a small area in the image. In addition to the identification of the 35 reference points, forest stands were delineated using each of the orthorectified images and their borders were compared using the digital topographic map.</p></sec>
<sec>
<label>4.2.2.</label>
<title>Classification of Coniferous- and Deciduous-Dominated Forest</title>
<p>The binary response variable y (plot dominated by conifers or deciduous trees) was modelled using a generalized linear model (GLM). The GLM is an extension of the linear model that allows fitting data with a binomial probability distribution [<xref ref-type="bibr" rid="b44-remotesensing-04-00661">44</xref>]. For a detailed description of GLMs see [<xref ref-type="bibr" rid="b45-remotesensing-04-00661">45</xref>].</p>
<p>If g denotes the logarithm as a link function, then the logistic regression equation can be denoted as
<disp-formula id="FD4">
<label>(4)</label>
<mml:math id="mm4" display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>π</mml:mi></mml:mrow>
<mml:mi>i</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>exp</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>η</mml:mi></mml:mrow>
<mml:mi>i</mml:mi></mml:msub>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mtext>exp</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>η</mml:mi></mml:mrow>
<mml:mi>i</mml:mi></mml:msub>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac>
<mml:mo>;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>η</mml:mi></mml:mrow>
<mml:mi>i</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>x</mml:mi></mml:mrow>
<mml:mi>i</mml:mi></mml:msub>
<mml:mi>β</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>i</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>…</mml:mo>
<mml:mo>,</mml:mo>
<mml:mtext>n</mml:mtext></mml:mrow></mml:math></disp-formula>where <italic>π</italic><italic><sub>i</sub></italic> is the probability of the <italic>i</italic>th element constituting a member of one of the two classes (coniferous- or deciduous-dominated) and η<italic><sub>i</sub></italic> is a linear predictor, with <italic>x</italic><italic><sub>i</sub></italic> representing a vector of independent variables and <italic>β</italic> the vector of regression parameters.</p>
<p>An automatic stepwise procedure with forward and backward selection based on the analysis of variance was used to select the most relevant variables in the GLM [<xref ref-type="bibr" rid="b44-remotesensing-04-00661">44</xref>].</p>
<p>Several criteria were taken into consideration to compare the quality of models based on the differently preprocessed images: (a) producer’s accuracy (PA), user’s accuracy (UA) and overall accuracy (OA); (b) Cohen’s Kappa coefficient (κ); and (c) the Bayesian information criterion (BIC). The BIC criterion entails the number of parameters and therefore tends to penalize the overly complex models [<xref ref-type="bibr" rid="b46-remotesensing-04-00661">46</xref>]. The categories proposed by Landis and Koch [<xref ref-type="bibr" rid="b47-remotesensing-04-00661">47</xref>] were used to interpret the kappa coefficients: κ &lt; 0.20 poor, 0.21 &lt; κ ≤ 0.40 fair, 0.41&lt; κ ≤ 0.60 moderate, 0.61 &lt; κ ≤ 0.80 good, 0.81 &lt; κ ≤ 1 very good. Statistical analysis was carried out in the R software for statistical computing [<xref ref-type="bibr" rid="b48-remotesensing-04-00661">48</xref>]. All reported accuracy criteria were based on a leave-one-out cross-validation method (e.g., [<xref ref-type="bibr" rid="b49-remotesensing-04-00661">49</xref>]) to avoid overfitting.</p>
<p>Finally, to test the application of the algorithms on large areas, we generated prediction maps of coniferous- and deciduous-dominated forest stands using the best models. For this purpose, forest areas of the study sites were divided into hexagons with the same size of the reference sample plots (452 m<sup>2</sup>). The values of the explanatory variables were extracted for each hexagon and were used to predict its forest class. Predictions were displayed in map form and visually compared with the official forest stands map and the colour orthophotos, both from 2007.</p></sec></sec></sec>
<sec sec-type="results">
<label>5.</label>
<title>Results</title>
<sec sec-type="methods">
<label>5.1.</label>
<title>Location Accuracy of Orthorectified SAR Data</title>
<p>The analysis of stand borders in <xref ref-type="fig" rid="f2-remotesensing-04-00661">Figure 2</xref> revealed shifts up to 7 pixels (35 m) in images orthorectified with the SRTM compared with the reference map. However, the lower left hand corner of the border and in general the position of the lower border was very accurate, which shows that shifts were not the same in all directions. The stand boundaries between images orthorectified with the ALS DEMs were very similar. The differences regarding the reference map were between 1 and 5 pixels (5 to 25 m). In Pforzheim, leaf-off and leaf-on images orthorectified with the ALS DSM did not have the same position accuracy. The leaf-off image was more accurate than the leaf-on image (approximately 1 pixel difference).</p>
<p>The evaluation of the position accuracy with the 35 selected points is shown in <xref ref-type="table" rid="t2-remotesensing-04-00661">Table 2</xref>. Reference coordinates were taken from the official digital topographic map (scale 1:25,000). The reported values are only an approximation of the true error, because digitalization also lacks precision due to the fact that the reference points are hard to detect in the SAR images. The fact that inaccurate pixel locations can lead to incorrect classification of reference plots can be observed in <xref ref-type="fig" rid="f3-remotesensing-04-00661">Figure 3</xref>. In some cases, the same sample plot is located in different land use classes depending on the DEM used for orthorectification.</p></sec>
<sec>
<label>5.2.</label>
<title>Classification of Coniferous- and Deciduous-Dominated Forest</title>
<p>In general, γ<sup>0</sup> images resulted in lower classification accuracies compared with σ<sup>0</sup> images. Only in Pforzheim γ<sup>0</sup> images obtained with the ALS DTM delivered higher classification accuracy than the σ<sup>0</sup> image, although the differences were not large (approximately 1%). Therefore, only results based on σ<sup>0</sup> images will be presented in the following.</p>
<p>Variable selection indicated that only the mean of the SAR backscatter (σ<sup>0</sup>) on a sample plot is significant for the distinction of forest types (<xref ref-type="fig" rid="f4-remotesensing-04-00661">Figure 4</xref>). Plots dominated by coniferous trees tended to have lower σ<sup>0</sup> values than plots dominated by deciduous trees.</p>
<p>Leaf-off images were more accurate for the classification of deciduous- or coniferous-dominated forest than leaf-on images (<xref ref-type="table" rid="t3-remotesensing-04-00661">Table 3</xref>). We observed a seasonal variation in backscatter values between plots dominated by coniferous or deciduous trees. For example, in Pforzheim, the analysis of σ<sup>0</sup> images preprocessed with ALS DEMs revealed that the average SAR backscatter in plots dominated by coniferous trees increased between 0.4 dB and 0.8 dB from July 2008 to March 2009; while in plots dominated by deciduous trees the increase was from 1.6 dB to 1.7 dB. Similar tendencies were also observed in Biberach.</p>
<p>In both study sites, the combination of leaf-off and leaf-on images preprocessed with the ALS DTMs improved the classification considerably (<xref ref-type="table" rid="t3-remotesensing-04-00661">Table 3</xref>), resulting in an overall accuracy of 78.3% in Biberach and 71.2% in Pforzheim (<xref ref-type="app" rid="app1">Appendix 1</xref>). This was also the case for the images preprocessed with the ALS DSM in Biberach. In Pforzheim, the combination of leaf-off and leaf-on images preprocessed with the ALS DSM did not improve the classification accuracy compared to using leaf-off images only. The covariates in the logistic regression were the mean of the SAR backscatter in summer and winter as well as their interaction (<xref ref-type="app" rid="app2">Appendix 2</xref>). The interaction term represents the differences in the seasonal variation of the SAR backscatter between plots dominated by coniferous or deciduous trees. <xref ref-type="fig" rid="f5-remotesensing-04-00661">Figure 5</xref> shows the results of forest classification in Biberach by combining leaf-on and leaf-off images preprocessed with the ALS DTM.</p></sec></sec>
<sec sec-type="discussion">
<label>6.</label>
<title>Discussion</title>
<p>The aim of this study was to map coniferous- and deciduous-dominated forest based on TerraSAR-X images from different seasons. For the supervised classification approach followed, high pixel location accuracy is mandatory. In order to obtain high pixel position accuracy, an accurate orbit determination and high quality DEM are necessary [<xref ref-type="bibr" rid="b50-remotesensing-04-00661">50</xref>]. SAR data for this study was acquired in science orbit with errors &lt;50 cm [<xref ref-type="bibr" rid="b24-remotesensing-04-00661">24</xref>]. Therefore, although the applied preprocessing chain can influence the orthorectification of the data [<xref ref-type="bibr" rid="b51-remotesensing-04-00661">51</xref>], we assume that the observed displacement errors resulted mostly from the vertical error of the DEMs. For example, a vertical error of 1 m meant a ground range displacement of approximately 1.5 m in the orthorectified images for the acquired SAR data.</p>
<p>Due to the difficulty of identifying reference points within the forest in both the SAR images and the reference map, the position error of the images was measured based on man-made objects. Although we assumed that the orthorectification with the DSM should generate higher precision in forest areas, we were not able to confirm significant differences between images orthorectified with ALS DSMs and ALS DTMs. A factor that must be considered especially for SAR images in leaf-off conditions, is that the radar backscatter of deciduous forest was also scattered from points below the top of the trees (e.g., [<xref ref-type="bibr" rid="b4-remotesensing-04-00661">4</xref>,<xref ref-type="bibr" rid="b52-remotesensing-04-00661">52</xref>,<xref ref-type="bibr" rid="b53-remotesensing-04-00661">53</xref>]). This is not reflected by the DSM. Another reason for inaccurate orthorectification with the DSM, both in leaf-off and leaf-on conditions, could be that the forest structure has changed due to the time difference between the acquisitions of the ALS and SAR data. Thus, the ALS DSM did not exactly represent the canopy structure during SAR data acquisition.</p>
<p>Holopainen <italic>et al.</italic> [<xref ref-type="bibr" rid="b20-remotesensing-04-00661">20</xref>] evaluated the location accuracy of TerraSAR-X images orthorectified with a national DEM (25 m resolution). They report an average accuracy of 4 m which is comparable to the accuracy we obtained with the ALS DEMs. However, small errors of 1 or 2 pixels (equivalent to 10 m) in the position of the reference points can also be attributed to digitization errors and not necessarily to the orthorectification of the SAR images, because coarse display scales have been used to identify the reference points in the SAR images. Since we focussed on the classification of SAR images, only the relative difference in location accuracy between SAR images that were orthorectified with different DEMs was of interest. An appropriate analysis of the pixel location accuracy can only be achieved with good ground references, for example using corner reflectors (CR) at the time of acquisition. A geolocation accuracy of TerraSAR-X images superior to 1 m can then be observed [<xref ref-type="bibr" rid="b50-remotesensing-04-00661">50</xref>,<xref ref-type="bibr" rid="b54-remotesensing-04-00661">54</xref>].</p>
<p>σ<sup>0</sup> and γ<sup>0</sup> images were calculated to eliminate the effect of the local terrain undulations. The accuracy of σ<sup>0</sup> and γ<sup>0</sup> scattering coefficients depend on the spatial resolution of the DEM used for the calibration. A high spatial resolution allows the calculation of the local scattering area to be more accurate and to identify shadow and layover regions correctly [<xref ref-type="bibr" rid="b55-remotesensing-04-00661">55</xref>]. Because the study site of Biberach was rather flat, we did not identify a significant difference between σ<sup>0</sup> and γ<sup>0</sup> scattering coefficients obtained with the ALS DTM. In Pforzheim, the topographic normalization (γ<sup>0</sup>) using the ALS DTM effected the local backscattering of areas with high terrain slopes. However, the difference of the classification accuracy based on σ<sup>0</sup> and γ<sup>0</sup> images was small in Pforzheim because only few inventory sample plots were located on steep slopes. The topographic normalization with ALS DSMs resulted in a large number of shadow pixels in the γ<sup>0</sup> images. Therefore, σ<sup>0</sup> images were more suitable than γ<sup>0</sup> images if the topographic normalization was based on ALS DSMs in both study areas.</p>
<p>The analysis of the statistical criteria indicated that images preprocessed with the SRTM were not satisfactory for the classification of coniferous- and deciduous-dominated forest as consequence of the low spatial resolution of the SRTM DEM. The best model for the classification was obtained by combining leaf-off and leaf-on images preprocessed with ALS DTMs. While the improved accuracy by combining leaf-off and leaf-on images preprocessed with the ALS DSM was also visible in Biberach, this was not the case in Pforzheim. The reason was a less accurate orthorectification of the leaf-on image with the ALS DSM.</p>
<p>Pierce <italic>et al.</italic> [<xref ref-type="bibr" rid="b56-remotesensing-04-00661">56</xref>] used the mean and standard deviation of the radar backscatter (σ<sup>0</sup>) to discriminate land cover classes in Michigan. As in our study, they also observed lower backscatter values for coniferous than for deciduous forests in X-band SAR images [<xref ref-type="bibr" rid="b18-remotesensing-04-00661">18</xref>]. A better differentiation between deciduous and coniferous tree types in leaf-off SAR images was found by Hoekman [<xref ref-type="bibr" rid="b57-remotesensing-04-00661">57</xref>]. Furthermore, he reported an improvement of the classification accuracy by combining images from different seasons. Both of his observations were supported by our results. Some explanations for the seasonal variation of the radar backscatter (σ<sup>0</sup>) were given by Dobson <italic>et al.</italic> [<xref ref-type="bibr" rid="b58-remotesensing-04-00661">58</xref>]. Midsummer conditions, for example, lead to a decrease of σ<sup>0</sup> because of the attenuation of the radar signal caused by the presence of foliage and other elements in the crown, as well as dielectric changes in the trunks and branches.</p>
<p>Rainfall before the image acquisition under leaf-off conditions at the Biberach study site prevents a generalization of the results obtained with this data set, as moisture can have a significant impact on the radar backscatter [<xref ref-type="bibr" rid="b59-remotesensing-04-00661">59</xref>]. This can even lead to more accurate classification results. Changes in the radar backscatter after rain depend on the land use and forest type [<xref ref-type="bibr" rid="b60-remotesensing-04-00661">60</xref>–<xref ref-type="bibr" rid="b63-remotesensing-04-00661">63</xref>]. For example, the effect of rainwater on the radar backscatter tends to be larger for deciduous than for coniferous forests [<xref ref-type="bibr" rid="b63-remotesensing-04-00661">63</xref>].</p>
<p>The differences between the Biberach and Pforzheim reference datasets contributed to the difference in the classification accuracy in the two study sites. The visual classification of the reference plots using orthophotographs in Biberach was better related to the SAR backscatter, because in both remote sensing sources only the upper dominant canopy layer contributes to the reflection. The proportion of basal area measured in the field, which was used as reference in Pforzheim, also included trees from the understory, which may not have contributed to the SAR backscatter. In comparison to Hoekman [<xref ref-type="bibr" rid="b57-remotesensing-04-00661">57</xref>] and Rignot <italic>et al.</italic> [<xref ref-type="bibr" rid="b12-remotesensing-04-00661">12</xref>], the accuracy achieved in our study was low. However, they classified monospecies homogeneous stands in a coarser scale of mapping (stand level), whereas we dealt with heterogeneous mixed forest and minimum mapping units of 450 m<sup>2</sup>. Breidenbach <italic>et al.</italic> [<xref ref-type="bibr" rid="b18-remotesensing-04-00661">18</xref>] observed that classification accuracy reduced considerably with a decreasing minimum mapping unit.</p></sec>
<sec>
<label>7.</label>
<title>Conclusion</title>
<p>The use of High Resolution SpotLight TerraSAR-X (SAR) images in HH-polarization allowed the classification of coniferous- and deciduous-dominated forest with fair to moderate accuracy. The use of high resolution digital elevation models (DEMs) for orthorectification of the SAR images was found to be important to achieve greater pixel location accuracy. The orthorectification and the radiometric calibration influenced the classification accuracy of coniferous- and deciduous-dominated forest; the accuracy was higher when SAR images were preprocessed with airborne laser scanning (ALS) DEMs than when SAR images were preprocessed with a C-band Shuttle Radar Topography Mission (SRTM) DEM.</p>
<p>Images preprocessed with ALS digital surface models (DSMs) and ALS digital terrain models (DTMs) resulted in similar classification accuracies. Higher orthorectification accuracy and correct calibration, as well as normalization of the radar backscatter in vegetated areas should theoretically be obtained by preprocessing SAR images with a DSM. We were unable to confirm this hypothesis due to the potential influence of the time lag between the ALS and SAR data acquisition on our results.</p>
<p>SAR images acquired under leaf-off conditions resulted in slightly better classification accuracies than SAR images acquired under leaf-on conditions. The classification accuracy was improved through the combination of leaf-off and leaf-on images.</p>
<p>It will be of interest to study whether the theoretical advantage of digital surface models from airborne laser scanning data can be verified when ALS and SAR data are acquired at the same time. Higher pixel location accuracy will gain importance in future studies when objects with higher spatial heterogeneity, such as small groups of trees attacked by bark beetles, need to be identified.</p></sec></body>
<back>
<app-group>
<title>Appendices</title>
<app id="app1">
<title/>
<table-wrap id="ta1-remotesensing-04-00661" position="anchor">
<label>Appendix 1.</label>
<caption>
<p>Confusion matrix of leaf-one-out predictions based on combined leaf-off and leaf-on images (σ<sup>0</sup>) preprocessed with ALS DTMs.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle"><bold>Site</bold></th>
<th colspan="3" align="center" valign="middle"><bold>Biberach</bold></th>
<th colspan="3" align="center" valign="middle"><bold>Pforzheim</bold></th></tr>
<tr>
<th align="center" valign="middle"/>
<th align="center" valign="middle"><bold>Reference</bold></th>
<th align="center" valign="middle"/>
<th align="center" valign="middle"/>
<th align="center" valign="middle"/>
<th align="center" valign="middle"/>
<th align="center" valign="middle"/></tr>
<tr>
<th align="center" valign="middle"><bold>Prediction</bold></th>
<th align="center" valign="middle"><bold>Coniferous</bold></th>
<th align="center" valign="middle"><bold>Deciduous</bold></th>
<th align="center" valign="middle"><bold>Row total</bold></th>
<th align="center" valign="middle"><bold>Coniferous</bold></th>
<th align="center" valign="middle"><bold>Deciduous</bold></th>
<th align="center" valign="middle"><bold>Row total</bold></th></tr></thead>
<tbody>
<tr>
<td align="center" valign="top">Coniferous</td>
<td align="center" valign="top">210</td>
<td align="center" valign="top">47</td>
<td align="center" valign="top">257</td>
<td align="center" valign="top">155</td>
<td align="center" valign="top">57</td>
<td align="center" valign="top">212</td></tr>
<tr>
<td align="center" valign="top">Deciduous</td>
<td align="center" valign="top">31</td>
<td align="center" valign="top">72</td>
<td align="center" valign="top">103</td>
<td align="center" valign="top">48</td>
<td align="center" valign="top">105</td>
<td align="center" valign="top">153</td></tr>
<tr>
<td align="center" valign="top">Column total</td>
<td align="center" valign="top">241</td>
<td align="center" valign="top">119</td>
<td align="center" valign="top">360</td>
<td align="center" valign="top">203</td>
<td align="center" valign="top">162</td>
<td align="center" valign="top">365</td></tr>
<tr>
<td align="center" valign="top">Producer’s accuracy (%)</td>
<td align="center" valign="top">87.1</td>
<td align="center" valign="top">60.5</td>
<td align="center" valign="top"/>
<td align="center" valign="top">76.4</td>
<td align="center" valign="top">64.8</td>
<td align="center" valign="top"/></tr>
<tr>
<td align="center" valign="top">User’s accuracy (%)</td>
<td align="center" valign="top">81.7</td>
<td align="center" valign="top">69.9</td>
<td align="center" valign="top"/>
<td align="center" valign="top">73.1</td>
<td align="center" valign="top">68.6</td>
<td align="center" valign="top"/></tr>
<tr>
<td align="center" valign="top">Overall accuracy (%)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">78.3</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">71.2</td></tr>
<tr>
<td align="center" valign="top">Kappa coefficient (κ)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.49</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.41</td></tr></tbody></table></table-wrap></app>
<app id="app2">
<title/>
<table-wrap id="ta2-remotesensing-04-00661" position="anchor">
<label>Appendix 2.</label>
<caption>
<p>Parameters of the generalized linear models for the classification of deciduous and coniferous forest with the highest accuracy.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle"/>
<th colspan="3" align="center" valign="middle"><bold>Biberach</bold></th>
<th colspan="3" align="center" valign="middle"><bold>Pforzheim</bold></th></tr>
<tr>
<th align="center" valign="middle"/>
<th align="center" valign="middle"><bold>Estimate</bold></th>
<th align="center" valign="middle"><bold>Std. Error</bold></th>
<th align="center" valign="middle"><bold><italic>p</italic>-value</bold></th>
<th align="center" valign="middle"><bold>Estimate</bold></th>
<th align="center" valign="middle"><bold>Std. Error</bold></th>
<th align="center" valign="middle"><bold><italic>p</italic>-value</bold></th></tr></thead>
<tbody>
<tr>
<td align="left" valign="top">Intercept</td>
<td align="center" valign="top">1.31</td>
<td align="center" valign="top">6.28</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top">21.6</td>
<td align="center" valign="top">4.36</td>
<td align="center" valign="top">&lt;0.01</td></tr>
<tr>
<td align="left" valign="top">σ<sup>0</sup> leaf-off (mean)</td>
<td align="center" valign="top">−0.35</td>
<td align="center" valign="top">0.43</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">1.46</td>
<td align="center" valign="top">0.32</td>
<td align="center" valign="top">&lt;0.01</td></tr>
<tr>
<td align="left" valign="top">σ<sup>0</sup> leaf-on (mean)</td>
<td align="center" valign="top">−0.61</td>
<td align="center" valign="top">0.44</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">1.17</td>
<td align="center" valign="top">0.28</td>
<td align="center" valign="top">&lt;0.01</td></tr>
<tr>
<td align="left" valign="top">leaf-off * leaf-on (mean)</td>
<td align="center" valign="top">−0.07</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.07</td>
<td align="center" valign="top">0.02</td>
<td align="center" valign="top">&lt;0.01</td></tr></tbody></table></table-wrap></app></app-group>
<sec sec-type="display-objects">
<title>Figures and Tables</title>
<fig id="f1-remotesensing-04-00661" position="float">
<label>Figure 1</label>
<caption>
<p>Location of study sites Pforzheim and Biberach in UTM coordinate system (zone 32N) with the surrounding countries and federal states (BW = Baden-Württemberg, BY = Bavaria, HE = Hesse, RP = Rhineland-Palatinate).</p></caption>
<graphic xlink:href="remotesensing-04-00661f1.gif"/></fig>
<fig id="f2-remotesensing-04-00661" position="float">
<label>Figure 2</label>
<caption>
<p>Boundary of a forest stand located in Pforzheim, digitized from three different orthorectified TerraSAR-X images in leaf-off conditions. The official digital topographic map is shown as reference in UTM coordinates (zone 32N).</p></caption>
<graphic xlink:href="remotesensing-04-00661f2.gif"/></fig>
<fig id="f3-remotesensing-04-00661" position="float">
<label>Figure 3</label>
<caption>
<p>Example of orthorectified images of Pforzheim in leaf-off conditions (<bold>left</bold>) and DEMs used for the orthorectification (<bold>right</bold>). Inventory plots are shown as red circles. The big blue circle highlights a sample plot that was located in another land use class in the image orthorectified with the SRTM (UTM coordinates of zone 32N are displayed in the image margins.).</p></caption>
<graphic xlink:href="remotesensing-04-00661f3.gif"/></fig>
<fig id="f4-remotesensing-04-00661" position="float">
<label>Figure 4</label>
<caption>
<p>Boxplots of SAR backscatter (σ<sup>0</sup>) on sample plots dominated by coniferous or deciduous trees in images preprocessed with ALS DSMs. (<bold>a</bold>) Leaf<bold>-</bold>off images and (<bold>b</bold>) Leaf-on images.</p></caption>
<graphic xlink:href="remotesensing-04-00661f4.gif"/></fig>
<fig id="f5-remotesensing-04-00661" position="float">
<label>Figure 5</label>
<caption>
<p>Application of the classification model in Biberach. (<bold>a</bold>) Map of deciduous- and coniferous-dominated forest based on combined leaf-on and leaf-off TerraSAR-X images (acquired in 2008 and 2009) preprocessed with the ALS DTM; (<bold>b</bold>) official forest stand map (established 2007); (<bold>c</bold>) ortho-photographs (acquired on 2007).</p></caption>
<graphic xlink:href="remotesensing-04-00661f5.gif"/></fig>
<table-wrap id="t1-remotesensing-04-00661" position="float">
<label>Table 1</label>
<caption>
<p>Properties of High Resolution SpotLight (HS) TerraSAR-X datasets.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top"/>
<th colspan="2" align="center" valign="middle"><bold>Biberach</bold></th>
<th colspan="2" align="center" valign="middle"><bold>Pforzheim</bold></th></tr></thead>
<tbody>
<tr>
<td align="left" valign="top">Date</td>
<td align="left" valign="top">27.03.2009</td>
<td align="left" valign="top">09.08.2009</td>
<td align="left" valign="top">25.07.2008</td>
<td align="left" valign="top">13.03.2009</td></tr>
<tr>
<td align="left" valign="top">Time</td>
<td align="left" valign="top">17:08:26</td>
<td align="left" valign="top">05:34:55</td>
<td align="left" valign="top">05:43:19</td>
<td align="left" valign="top">05:43:19</td></tr>
<tr>
<td align="left" valign="top">Polarization</td>
<td align="left" valign="top">HH and VV</td>
<td align="left" valign="top">HH</td>
<td align="left" valign="top">HH</td>
<td align="left" valign="top">HH</td></tr>
<tr>
<td align="left" valign="top">Orbital direction</td>
<td align="left" valign="top">Ascending</td>
<td align="left" valign="top">Descending</td>
<td align="left" valign="top">Descending</td>
<td align="left" valign="top">Descending</td></tr>
<tr>
<td align="left" valign="top">Mean and range of incidence angles (°)</td>
<td align="left" valign="top">39.3 (38.9–39.8)</td>
<td align="left" valign="top">37.5 (37–37.9)</td>
<td align="left" valign="top">31.7 (31.1–32.2)</td>
<td align="left" valign="top">31.7 (31.1–32.2)</td></tr>
<tr>
<td align="left" valign="top">Slant range resolution (m)</td>
<td align="left" valign="top">1.17</td>
<td align="left" valign="top">1.17</td>
<td align="left" valign="top">1.17</td>
<td align="left" valign="top">1.17</td></tr>
<tr>
<td align="left" valign="top">Projected spacing azimuth (m)</td>
<td align="left" valign="top">1.81</td>
<td align="left" valign="top">0.86</td>
<td align="left" valign="top">0.86</td>
<td align="left" valign="top">0.88</td></tr></tbody></table></table-wrap>
<table-wrap id="t2-remotesensing-04-00661" position="float">
<label>Table 2</label>
<caption>
<p>Location accuracy of leaf-off synthetic aperture radar (SAR) images orthorectified with three different digital elevation models (DEM)s.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle" rowspan="3"><bold>DEM</bold></th>
<th colspan="6" align="center" valign="middle"><bold>RMSE (m)</bold></th></tr>
<tr>
<th colspan="3" align="center" valign="middle"><bold>Biberach</bold></th>
<th colspan="3" align="center" valign="middle"><bold>Pforzheim</bold></th></tr>
<tr>
<th align="center" valign="middle"><bold>x</bold></th>
<th align="center" valign="middle"><bold>y</bold></th>
<th align="center" valign="middle"><bold>Euclidian Distance</bold></th>
<th align="center" valign="middle"><bold>x</bold></th>
<th align="center" valign="middle"><bold>y</bold></th>
<th align="center" valign="middle"><bold>Euclidian Distance</bold></th></tr></thead>
<tbody>
<tr>
<td align="center" valign="top">ALS DSM</td>
<td align="center" valign="top">9</td>
<td align="center" valign="top">7</td>
<td align="center" valign="top">11</td>
<td align="center" valign="top">7</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">9</td></tr>
<tr>
<td align="center" valign="top">ALS DTM</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">7</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">6</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">7</td></tr>
<tr>
<td align="center" valign="top">SRTM DEM</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">8</td>
<td align="center" valign="top">25</td></tr></tbody></table></table-wrap>
<table-wrap id="t3-remotesensing-04-00661" position="float">
<label>Table 3</label>
<caption>
<p>Classification accuracy of deciduous- and coniferous-dominated sample plots using leaf-off and leaf-on SAR images (σ<sup>0</sup>).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle"/>
<th colspan="3" align="left" valign="middle"><bold>Biberach</bold></th>
<th colspan="3" align="left" valign="middle"><bold>Pforzheim</bold></th></tr>
<tr>
<th align="left" valign="middle"/>
<th align="left" valign="middle"><bold>OA (%)</bold></th>
<th align="left" valign="middle"><bold>κ</bold></th>
<th align="left" valign="middle"><bold>κ conf. int. (level = 0.95)</bold></th>
<th align="left" valign="middle"><bold>OA (%)</bold></th>
<th align="left" valign="middle"><bold>κ</bold></th>
<th align="left" valign="middle"><bold>κ conf. int. (level = 0.95)</bold></th></tr></thead>
<tbody>
<tr>
<td colspan="7" align="left" valign="top">Leaf-off</td></tr>
<tr>
<td colspan="7" align="left" valign="top">
<hr/></td></tr>
<tr>
<td align="left" valign="top">ALS DTM</td>
<td align="left" valign="top">71.1</td>
<td align="left" valign="top">0.25</td>
<td align="left" valign="top">0.13–0.38</td>
<td align="left" valign="top">67.9</td>
<td align="left" valign="top">0.34</td>
<td align="left" valign="top">0.25–0.44</td></tr>
<tr>
<td align="left" valign="top">ALS DSM</td>
<td align="left" valign="top">70.8</td>
<td align="left" valign="top">0.25</td>
<td align="left" valign="top">0.13–0.37</td>
<td align="left" valign="top">68.5</td>
<td align="left" valign="top">0.35</td>
<td align="left" valign="top">0.26–0.45</td></tr>
<tr>
<td align="left" valign="top">SRTM</td>
<td align="left" valign="top">67.8</td>
<td align="left" valign="top">0.15</td>
<td align="left" valign="top">0.02–0.27</td>
<td align="left" valign="top">66.6</td>
<td align="left" valign="top">0.32</td>
<td align="left" valign="top">0.21–0.42</td></tr>
<tr>
<td colspan="7" align="left" valign="top">
<hr/></td></tr>
<tr>
<td colspan="7" align="left" valign="top">Leaf-on</td></tr>
<tr>
<td colspan="7" align="left" valign="top">
<hr/></td></tr>
<tr>
<td align="left" valign="top">ALS DTM</td>
<td align="left" valign="top">70.0</td>
<td align="left" valign="top">0.18</td>
<td align="left" valign="top">0.05–0.31</td>
<td align="left" valign="top">64.1</td>
<td align="left" valign="top">0.26</td>
<td align="left" valign="top">0.16–0.36</td></tr>
<tr>
<td align="left" valign="top">ALS DSM</td>
<td align="left" valign="top">70.0</td>
<td align="left" valign="top">0.22</td>
<td align="left" valign="top">0.09–0.34</td>
<td align="left" valign="top">60.5</td>
<td align="left" valign="top">0.18</td>
<td align="left" valign="top">0.07–0.28</td></tr>
<tr>
<td align="left" valign="top">SRTM</td>
<td align="left" valign="top">66.9</td>
<td align="left" valign="top">0.01</td>
<td align="left" valign="top">(−0.1) −0.16</td>
<td align="left" valign="top">58.1</td>
<td align="left" valign="top">0.09</td>
<td align="left" valign="top">(−0.1) −0.20</td></tr>
<tr>
<td colspan="7" align="left" valign="top">
<hr/></td></tr>
<tr>
<td colspan="7" align="left" valign="top">Combination of leaf-off and leaf-on</td></tr>
<tr>
<td colspan="7" align="left" valign="top">
<hr/></td></tr>
<tr>
<td align="left" valign="top">ALS DTM</td>
<td align="left" valign="top">78.3</td>
<td align="left" valign="top">0.49</td>
<td align="left" valign="top">0.38–0.58</td>
<td align="left" valign="top">71.2</td>
<td align="left" valign="top">0.41</td>
<td align="left" valign="top">0.32–0.51</td></tr>
<tr>
<td align="left" valign="top">ALS DSM</td>
<td align="left" valign="top">76.1</td>
<td align="left" valign="top">0.44</td>
<td align="left" valign="top">0.35–0.55</td>
<td align="left" valign="top">68.2</td>
<td align="left" valign="top">0.35</td>
<td align="left" valign="top">0.25–0.45</td></tr>
<tr>
<td align="left" valign="top">SRTM</td>
<td align="left" valign="top">70.0</td>
<td align="left" valign="top">0.23</td>
<td align="left" valign="top">0.11–0.35</td>
<td align="left" valign="top">66.6</td>
<td align="left" valign="top">0.32</td>
<td align="left" valign="top">0.21–0.42</td></tr></tbody></table></table-wrap></sec>
<ack>
<p>We would like to thank Barbara Koch, Department of Remote Sensing and Landscape Information Systems of the University of Freiburg, for her cooperation in the “Insect Combat” and “FoX” projects, as well as Christiane Schmullius, Department of Earth Observation at the University of Jena for support in the preprocessing of the SAR data. We acknowledge the provision of TerraSAR-X data by the German Aerospace Center (DLR) within the Forest monitoring with TerraSAR-X (FoX) project. This research was partially financed by the European Space Agency (ESRIN/AO/1-5781/08/I-EC).</p></ack>
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