<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OJSS</journal-id><journal-title-group><journal-title>Open Journal of Soil Science</journal-title></journal-title-group><issn pub-type="epub">2162-5360</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ojss.2016.69014</article-id><article-id pub-id-type="publisher-id">OJSS-70808</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  Effect of the Continuum Removal in Predicting Soil Organic Carbon with Near Infrared Spectroscopy (NIRS) in the Senegal Sahelian Soils
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Macoumba</surname><given-names>Loum</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mateugue</surname><given-names>Diack</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ndeye</surname><given-names>Yacine Badiane Ndour</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Dominique</surname><given-names>Masse</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib></contrib-group><aff id="aff3"><addr-line>IESOL Laboratoire Mixte International Ecologique des Sols Cultivés en Afrique de l’Ouest, Centre ISRA/IRD, Dakar, Sénégal</addr-line></aff><aff id="aff1"><addr-line>UFR de Sciences Agronomiques, de l’Aquaculture et de Technologies Alimentaires, Université Gaston Berger, Saint-Louis, Sénégal</addr-line></aff><aff id="aff2"><addr-line>Institut Sénégalais de Recherches Agricoles, Laboratoire LNRPV, Dakar, Sénégal</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>macoumbaloum@yahoo.fr(ML)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>23</day><month>09</month><year>2016</year></pub-date><volume>06</volume><issue>09</issue><fpage>135</fpage><lpage>148</lpage><history><date date-type="received"><day>August</day>	<month>19,</month>	<year>2016</year></date><date date-type="rev-recd"><day>Accepted:</day>	<month>September</month>	<year>20,</year>	</date><date date-type="accepted"><day>September</day>	<month>23,</month>	<year>2016</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Spectroscopy plays a major role in the access of the analytical parameters of the soil. It tends to substitute the conventional laboratory analysis because hyperspectral data were least expensive and easier to obtain. The objective of this study was to evaluate the effect of the continuum removal (CR) in the validation of the accurate prediction model of the soil properties
   with Vis-NIR 
  spectroscopy data. Few studies using Vis-NIR reflectance spectroscopy have well focused the calculation of the CR method; its effect in the calibration of the accurate models was also not well emphasized. In this study, we used the remote sensing software ENVI 4.7 to compute the CR function where the value of the continuum for each sample and for each spectral wavelength was obtained by dividing the reflectance values of the full spectrum (FS) with those of the continuum curve (CC). The partial least square regression (PLSR) model was applied in the spectral data from the soil of the Senegal Sahelian region. It was calibrated with both data from the full spectrum (FS) and those obtained after the application of the continuum removal. With the application of the CR, ultraviolet wavelengths (350 - 429 nm) and those of near infrared (2491 - 2500 nm) were removed from the explanatory variables of PLSR model. With the FS, all wavelengths between 350 and 2500 nm were taken into account in predicting soil properties. Our findings show a positive effect of the application of CR in the estimation of soil organic carbon. In calibration, the R2 increased up to 10% with the continuum removal in the model of 12 components (CP). In terms of validation, it’s the 15-component model which is the most accurate with the same range in calibration between the FS and the CR. The lowest RMSE ranged from 0.04 with the FS to 0.03 with the application of the CR in calibration and validation. These results show that the interest of this study as soil organic carbon is recognized as a key indicator of fertility of the soil in Sahelian-African regions. For future studies, it’s important to apply the model of neural networks to better evaluate the effect of continuum removal in predicting soil properties from the spectral data and other methods of preprocessing like the multiplicative scatter correction (msc).
 
</p></abstract><kwd-group><kwd>NIRS</kwd><kwd> Soil Proprieties</kwd><kwd> Continuum Removal</kwd><kwd> PLSR Model</kwd><kwd> Senegal River Delta</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The validation of prediction models from spectral data can contribute to better develop precision agriculture with ability of the spectroscopy to provide more efficiently analytical parameters of the soil on large datasets [<xref ref-type="bibr" rid="scirp.70808-ref1">1</xref>] . Conventional laboratory analyses of soil properties are expensive [<xref ref-type="bibr" rid="scirp.70808-ref2">2</xref>] . The processing time requires also intensive labour to generate the necessary data [<xref ref-type="bibr" rid="scirp.70808-ref3">3</xref>] . However, spatial characterization of soil variability at a fine scale is often necessary for a sustainable management of the soil cover [<xref ref-type="bibr" rid="scirp.70808-ref4">4</xref>] . Spatialization of soil properties is also an important factor for the monitoring of soil moisture, soil fertility and soil acidification [<xref ref-type="bibr" rid="scirp.70808-ref5">5</xref>] . This needs to have detailed information on soils with alternative methods, at lower cost, which is a real challenge in the developing countries where the availability of analytical equipment of soils remains widely in sufficient. Furthermore, organic matter is recognized as good indicators of the quality of the soil in the Sahelian agrosystem in Senegal [<xref ref-type="bibr" rid="scirp.70808-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.70808-ref7">7</xref>] . In this fact, calibration of prediction models on these agro-pedological variables becomes an issue of sustainable development knowing that agricultural production plays a major role in food security and in performing economies in sub-Saharan African countries [<xref ref-type="bibr" rid="scirp.70808-ref8">8</xref>] . Also, with the global warming, the promotion of management strategies which allow the storage of carbon in the soil and reduce emissions of carbon dioxide in the atmosphere is required [<xref ref-type="bibr" rid="scirp.70808-ref9">9</xref>] . In the international context, mathematical and statistical methods of prediction are increasingly tested in the soil properties analysis protocols in relation to spectroscopy data [<xref ref-type="bibr" rid="scirp.70808-ref10">10</xref>] - [<xref ref-type="bibr" rid="scirp.70808-ref15">15</xref>] . The possibility offered by spectroscopy to generate reflectance and luminance spectra in different wavelengths 250 - 400 nm (ultraviolet; UV), 400 - 700 nm (visible; VIS), 700 - 2500 nm (near infrared; NIR), 2500 - 25,000 nm (med infrared, MIR) allows an extraction of useful information about soil components at lower cost [<xref ref-type="bibr" rid="scirp.70808-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.70808-ref17">17</xref>] . Hence, the interest of pursuing research in spectroscopy was to implement more accurate and reproducible model estimation of soil properties. For the exploration of these spectral data, pre-processing functions were carried out to determine the most relevant spectral wavelengths for estimating soil properties [<xref ref-type="bibr" rid="scirp.70808-ref18">18</xref>] . The applications of statistical model associated with other processing functions have given good results in the analysis of soil properties through spectroscopy [<xref ref-type="bibr" rid="scirp.70808-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.70808-ref5">5</xref>] . The continuum removal (CR) is one of the examples of pre-treatments which allowsto isolate particular absorption features in diffuse reflectance spectra on the soils [<xref ref-type="bibr" rid="scirp.70808-ref19">19</xref>] . After isolation, these absorption wavelengths were removed in the explanatory variables of the model in order to minimize errors prediction. The CR was calibrated with the PLSR (Partial Least Square Regression) model to evaluate the level of accuracy in predicting soil organic carbon from the spectral data. The application modalities of continuum removal raised some scientific questions. First of all, few studies have demonstrated the implementation of CR calculation method in spectroscopy of soil data [<xref ref-type="bibr" rid="scirp.70808-ref1">1</xref>] . Secondly, its real effects in the estimation of physical, chemical and biological properties of soils are not sufficiently focused. The objective of this study was then to better understand the function of the continuum removal (CR) and to evaluate this effect in terms of accuracy level of the prediction for the soil organic carbon from spectral soil data.</p></sec><sec id="s2"><title>2. Material and Method</title><sec id="s2_1"><title>2.1. Study Area</title><p>The study area is located in the lower delta of the Senegal River. It corresponds to the30-ha agricultural farm of the University of Saint Louis, where a tributary of the Senegal River (the Djeuss) allows development of farming activities. The climate is a sub-Canarian to Sahelian with a short rainy season between July to October (<xref ref-type="table" rid="table1">Table 1</xref>) and a dry season that lasts from November to June. The natural vegetation cover is a shrub steppe comprising mainly Acacia raddiana, Balanites aegyptiaca, Prosopis juliflora and Euphorbia balsamifera. The study area is an experimental site of market garden, horticultural and rainfed crops. However, the need to promote precision agriculture required to correct the lack of information on the spatial variability of the physical and chemical soil properties. So, we have performed a stratified sampling point of the soil following a regular grid of 30 m by using Landsat imagery and Google Earth. A total of 216 sampling points, meaning 3 - 4 points for each plot were selected. The geographical coordinates of each point are located by GPS survey and referenced in a geographic information system (<xref ref-type="fig" rid="fig1">Figure 1</xref>). Soil profiles were sampled with auger in the following depths: 0 - 10 cm; 10 - 20 cm; 20 - 40 cm; 40 - 60 cm and 60 - 80 cm. For each depth, a composite sample is created by mixing 3 primary samples; with 1080 soil samples collected in the study area, 432 were analysed for the biochemical and chemical</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Monthly evolution of the rainfall over the last five years (2010-2015)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >June</th><th align="center" valign="middle" >July</th><th align="center" valign="middle" >August</th><th align="center" valign="middle" >September</th><th align="center" valign="middle" >October</th><th align="center" valign="middle" >November</th><th align="center" valign="middle" >December</th></tr></thead><tr><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >28.0</td><td align="center" valign="middle" >70.0</td><td align="center" valign="middle" >66.0</td><td align="center" valign="middle" >320.0</td><td align="center" valign="middle" >109.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td></tr><tr><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >49.0</td><td align="center" valign="middle" >108.0</td><td align="center" valign="middle" >116.0</td><td align="center" valign="middle" >4.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td></tr><tr><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >74.0</td><td align="center" valign="middle" >106.0</td><td align="center" valign="middle" >190.0</td><td align="center" valign="middle" >8.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >2.0</td></tr><tr><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >60.0</td><td align="center" valign="middle" >151.0</td><td align="center" valign="middle" >152.0</td><td align="center" valign="middle" >4.0</td><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >8.0</td></tr><tr><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >69.0</td><td align="center" valign="middle" >26.0</td><td align="center" valign="middle" >16.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td></tr><tr><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >7.0</td><td align="center" valign="middle" >137.5</td><td align="center" valign="middle" >83.0</td><td align="center" valign="middle" >13.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >0.0</td></tr></tbody></table></table-wrap><p>Source: Agence Nationale de l’Aviation Civile et de la M&#233;t&#233;orologie (ANACIM, 2015).</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Location of the study area and sampling point of soil properties</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x2.png"/></fig><p>properties in the Africa Rice laboratory. The validation of a prediction model from the Vis-NIR spectroscopy data will be able to estimate the biochemical and chemical properties of the soil on the 648 remaining samples.</p></sec><sec id="s2_2"><title>2.2. Spectral Data</title><p>The reflectance of soil samples was measured with the spectroradiometer of the ASD Company (Analytical Spectral Devices, CO) at the Institute of Research for Development (IRD, Center of Dakar). Samplesof about 10 mg amount of soil were put into Petri dishes. Soil spectra were detected over the wavelength ranging from 350 nm (UV) to2500 nm (NIR). The spectral reflectance was first performed with measurements at the absolute reflectance (baseline) with a white Spectralon panel. For the soil samples, measurements were repeated three times and the logarithmic values of reflectance were stored in auto save document (.asd file) and were converted to ASCII files with InDiCo Pro software. With Excel software, the matrix of input variables for the model prediction was built from the average of 3 measurements for each soil sample.</p></sec><sec id="s2_3"><title>2.3. The Continuum Removal</title><p>The continuum removal (CR) was a pre-treatment function used in spectroscopy to improve the estimation of soil properties [<xref ref-type="bibr" rid="scirp.70808-ref1">1</xref>] . It allowed to isolate a particular absorption feature for analysis of a spectrum and represented the absorption due to a different process in a specific mineral or possibly absorption from a different mineral in a multimineralic surface [<xref ref-type="bibr" rid="scirp.70808-ref20">20</xref>] [<xref ref-type="bibr" rid="scirp.70808-ref21">21</xref>] . We have computed the continuum removal (Equation (1)) and the continuum curve (Equation (2)) in the remote sensing software of Envi&#174;4.7. The matrix of the full spectrum (FS) was before transformed in txt format. The spectral library builder optionof Envi&#174;4.7 allowed to calculate the reflectance value of the continuum removal (CR) from the reflectance value of the full spectrum (FS). Afterwards, the transformation of these two matrixes (FS and CR) into spectral band allowed to compute the reflectance value of the continuum curve with the BandMath function of Envi&#174;4.7 software.</p><disp-formula id="scirp.70808-formula25"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1660371x3.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.70808-formula26"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1660371x4.png"  xlink:type="simple"/></disp-formula><p>where CR = Continuum Removal; FS: Full Spectrum; CC: Continuum Curve.</p></sec><sec id="s2_4"><title>2.4. The PLSR Model</title><p>The partial least square regression (PLSR) was used to estimate soil organic carbon. The comparison of different data mining algorithms for prediction of soil properties from the spectral reflectance data showed regression performance via Support Vector Machine(0.92%, RMSE) followed respectively by the partial least square regression (0.96%, RMSE) and the Stochastic gradient boosting (1.02%, RMSE) [<xref ref-type="bibr" rid="scirp.70808-ref16">16</xref>] . One of the advantages of PLSR compared to other chemometric methods like principal component analysis is the possibility to interpret the first few latent variables (LV), because they show the correlations between the property values and the spectral features [<xref ref-type="bibr" rid="scirp.70808-ref22">22</xref>] . The PLSR enables to understand and describe the often complex relationship between two types of variables X and Y [<xref ref-type="bibr" rid="scirp.70808-ref23">23</xref>] ; X often composed of several variables, is called explanatory variables and Y represents the response variable [<xref ref-type="bibr" rid="scirp.70808-ref24">24</xref>] . The PLSR model was based on a linear relationship between soil properties and spectral data (Equation (3)) that were characterized by the complexity and the richness of information they contain [<xref ref-type="bibr" rid="scirp.70808-ref10">10</xref>] . Soil samples were taken from the lower delta of the Senegal River. The PLSR (partial least square regression) was performed in R 3.1.2 software [<xref ref-type="bibr" rid="scirp.70808-ref25">25</xref>] to estimate the soil organic carbon.</p><p>With the PLS model, the database was divided into two separate sets for calibration and validation. A recursive split with the principal component analysis (PCA) method allows us to select the 186 soil samples and which was tested the PLSR model. The PCA applied to the full spectrum was also used to select the 2/3 of the dataset (124 soil samples) used in calibration; the 1/3 remaining (62 soil samples) was used to validation (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p><disp-formula id="scirp.70808-formula27"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1660371x5.png"  xlink:type="simple"/></disp-formula><p>where Y = the estimated value; b<sub>i</sub>: the coefficients of the model to the wavelength i; X<sub>i</sub>: the reflectance at the wavelength i; ε<sub>0</sub>: the residual error; P: value of reflectance spectra.</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> The spectra validation in supplementary individual in the factorial plane of PCA</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x6.png"/></fig><p>The validation data is put on supplementary individuals in the factorial plane of the PCA (<xref ref-type="fig" rid="fig2">Figure 2</xref>). We have taken into account the variability of the individuals knowing that the result of PCA with addition to the first and second axes were superior to 80%.</p><p>The PLS model transforms the explanatory variables into latent variables (called components) through a linear combination of the least correlated variables. The leave one out cross-validation method allows to choose the optimal number of components whose lowest RMSE (root mean square error) was selected [<xref ref-type="bibr" rid="scirp.70808-ref26">26</xref>] . The R2 (determination coefficient) is another index that measures the performance of the PLSR model. It refers to the part of inertia explained by the model on the total variability. With the CR, the ultraviolet (350 - 429 nm) and the near infrared (2289 to 2500 nm) wavelengths which values of reflectance were equal to1were removed from the spectrum in the prediction model. The model was turned on both with data of the full spectrum (350 nm to 2500 nm) and that those of the continuum removal (430 - 2490 nm).</p></sec><sec id="s2_5"><title>2.5. The Analytical Data</title><p>The PLSR model was performed on186 soil samples selected according to their variability on the factorial plane of the PCA. The box plots of the soil organic carbon computed with R 3.1.2 software shows a range between 0.07% to 0.39%; the average organic carbon content was around to 0.20% (<xref ref-type="fig" rid="fig3">Figure 3</xref>).</p></sec></sec><sec id="s3"><title>3. Results</title><p>Following the application of the continuum function, the wavelengths with reflectance value equal to 1 were removed from the matrix of the explanatory variable. The absorption peaks of the organic carbon (OC) were then better highlighted with the evolution of the regression coefficients of the continuum removal in comparison with the full spectrum (<xref ref-type="fig" rid="fig4">Figure 4</xref> and <xref ref-type="fig" rid="fig5">Figure 5</xref>). Furthermore, the comparative analysis of reflectance values of CR in three soil samples showed higher peak reflectance on the sample that had a high level of soil carbon. The 2c-1 sample with a carbon content of 0.38%</p><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> The box plots of the range of the soil organic carbon content of the data set</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x7.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Changes in regression coefficients with the Full Spectrum (FS)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x8.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Changes in regression coefficients with the Continuum Removal (CR)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x9.png"/></fig><p>showed absorption peaks of 0.6 in the CR whereas the sample 17c-2 with lower carbon contents (0.09%) showed absorption peaks of about 0.4 (<xref ref-type="fig" rid="fig6">Figure 6</xref>).</p><p>The average error rate becomes lower with the CR both in calibration and validation results of carbon estimation. With the model calibration of 12components (<xref ref-type="fig" rid="fig7">Figure 7</xref>(a)), the RMSE decreased from 0.04 in full spectrum (FS) to 0.03 after the continuum removed (CR). In validation (<xref ref-type="fig" rid="fig7">Figure 7</xref>(b)), it’s the model of 15 components which provided more accurate result with RMSE ranging from 0.04 in the full spectra to 0.03 in the CR. At the same time, the coefficient of determination (R2) increased from 0.6 (FS) to 0.7 (CR) in calibration at the model of 12 components (<xref ref-type="fig" rid="fig8">Figure 8</xref>(a)). For the validation, the R2 ranged from 0.6 (FS) to 0.7 (CR) at the model of 15 components (<xref ref-type="fig" rid="fig8">Figure 8</xref>(b)). The average organic carbon content for the observed data is 0.21%. The predicted one with the continuum removal is also 0.21%. With the full spectrum (FS), predicted data equal 0.20 % (<xref ref-type="table" rid="table2">Table 2</xref>).</p><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Comparison between changes in reflectance values of the full spectrum (FS) continuum removal (CR) and continuum curve (CC) of three soil samples</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x10.png"/></fig><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Observed and Predicted organic carbon content using the PLS model with the full spectrum (FS) and the continuum removal (CR) from the 1/3 data set of validation</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Samples</th><th align="center" valign="middle" >OC_Obs</th><th align="center" valign="middle" >OC_Pred_FS (12 Cp)</th><th align="center" valign="middle" >OC_Pred_CR (15 Cp)</th><th align="center" valign="middle" >Samples</th><th align="center" valign="middle" >OC_Obs</th><th align="center" valign="middle" >OC_Pred_FS (12 Cp)</th><th align="center" valign="middle" >OC_Pred_CR (15 Cp)</th></tr></thead><tr><td align="center" valign="middle" >125</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.12</td><td align="center" valign="middle" >156</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >0.18</td></tr><tr><td align="center" valign="middle" >126</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.12</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >157</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >0.26</td></tr><tr><td align="center" valign="middle" >127</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >158</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.24</td></tr><tr><td align="center" valign="middle" >128</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >159</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.13</td></tr><tr><td align="center" valign="middle" >129</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >160</td><td align="center" valign="middle" >0.20</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.19</td></tr><tr><td align="center" valign="middle" >130</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >161</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.23</td></tr><tr><td align="center" valign="middle" >131</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >162</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.25</td></tr><tr><td align="center" valign="middle" >132</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >163</td><td align="center" valign="middle" >0.32</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.26</td></tr><tr><td align="center" valign="middle" >133</td><td align="center" valign="middle" >0.34</td><td align="center" valign="middle" >0.33</td><td align="center" valign="middle" >0.32</td><td align="center" valign="middle" >164</td><td align="center" valign="middle" >0.20</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.16</td></tr><tr><td align="center" valign="middle" >134</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >165</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.22</td></tr><tr><td align="center" valign="middle" >135</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >166</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.22</td></tr><tr><td align="center" valign="middle" >136</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >167</td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.38</td><td align="center" valign="middle" >0.40</td></tr><tr><td align="center" valign="middle" >137</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >0.12</td><td align="center" valign="middle" >168</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.27</td></tr><tr><td align="center" valign="middle" >138</td><td align="center" valign="middle" >0.09</td><td align="center" valign="middle" >0.11</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >169</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.22</td></tr><tr><td align="center" valign="middle" >139</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.12</td><td align="center" valign="middle" >0.10</td><td align="center" valign="middle" >170</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.19</td></tr><tr><td align="center" valign="middle" >140</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >171</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >0.30</td><td align="center" valign="middle" >0.32</td></tr><tr><td align="center" valign="middle" >141</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >172</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.15</td></tr><tr><td align="center" valign="middle" >142</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >173</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.18</td></tr><tr><td align="center" valign="middle" >143</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >174</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >0.20</td></tr><tr><td align="center" valign="middle" >144</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >175</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.18</td></tr><tr><td align="center" valign="middle" >145</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >176</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >0.17</td></tr><tr><td align="center" valign="middle" >146</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >177</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.21</td></tr><tr><td align="center" valign="middle" >147</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.20</td><td align="center" valign="middle" >178</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.20</td><td align="center" valign="middle" >0.20</td></tr><tr><td align="center" valign="middle" >148</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >179</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.25</td></tr><tr><td align="center" valign="middle" >149</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >180</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.22</td></tr><tr><td align="center" valign="middle" >150</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >181</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.20</td><td align="center" valign="middle" >0.19</td></tr><tr><td align="center" valign="middle" >151</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >0.25</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >182</td><td align="center" valign="middle" >0.36</td><td align="center" valign="middle" >0.30</td><td align="center" valign="middle" >0.34</td></tr><tr><td align="center" valign="middle" >152</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >183</td><td align="center" valign="middle" >0.14</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.14</td></tr><tr><td align="center" valign="middle" >153</td><td align="center" valign="middle" >0.33</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >184</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.12</td><td align="center" valign="middle" >0.12</td></tr><tr><td align="center" valign="middle" >154</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >185</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.24</td></tr><tr><td align="center" valign="middle" >155</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >186</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.16</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >Average</td><td align="center" valign="middle" >0.21 &#177; 0.07</td><td align="center" valign="middle" >0.20 &#177; 0.06</td><td align="center" valign="middle" >0.21 &#177; 0.06</td></tr></tbody></table></table-wrap><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> Effect of continuum removal in the RMSE SOC prediction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x11.png"/></fig><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Effect of continuum removal in the R2 SOC prediction</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1660371x12.png"/></fig></sec><sec id="s4"><title>4. Discussion<sub> </sub></title><p>Continuum Removal (CR) has allowed improving the estimation of soil organic carbon by spectroscopy with the PLSR model. In calibration, organic carbon is predicted with a coefficient of determination ranging from 60% (RMSE; 0.04) in the full spectrum (SP) to 70% (RMSE; 0.03) with the application of the CR. These result showed that the organic matter content can have a linear or curvilinear relationship with reflectance in the visible and infrared range [<xref ref-type="bibr" rid="scirp.70808-ref27">27</xref>] . The reflectance values of these spectral regions are taken into account in the estimation of the soil organic carbon. Like others results [<xref ref-type="bibr" rid="scirp.70808-ref23">23</xref>] [<xref ref-type="bibr" rid="scirp.70808-ref28">28</xref>] , this study emphasized the interest to implement the preprocessing methods on the spectral libraries data achieving with Vis-NIR spectroscopy before predicting physical and chemical soil properties. The application of CR in the estimation of biochemical and chemical properties of soil highlighted a particular interest in the extent to organic carbon was recognized as a soil quality indicator in Sahelian farming systems [<xref ref-type="bibr" rid="scirp.70808-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.70808-ref28">28</xref>] - [<xref ref-type="bibr" rid="scirp.70808-ref36">36</xref>] . So, in the challenge for the quantification of the spatio-temporal dynamics of carbon storage at the plot, landscape and national scales [<xref ref-type="bibr" rid="scirp.70808-ref37">37</xref>] , the potential of contribution of Vis-NIR technology is very important. This quantification requires high spatial densities of soil samples [<xref ref-type="bibr" rid="scirp.70808-ref5">5</xref>] and Vis-NIR spectroscopy offer possibilities to analyse physical and chemical soil properties with a lower coast and less time by using accurate model of prediction.</p></sec><sec id="s5"><title>5. Conclusion</title><p>This study has allowed on the one hand to understand better the application modalities of the continuum removal method in the spectroscopy of soil samples. Indeed, when the value of the continuum removal (CR) equals to 1, the full spectrum (FS) and the continuum curve (CC) will present the same values of reflectance. On the other hand, our result (R2 equals to 0.7 and RMSE ≤ 0.03) obtained with the application of CR is acceptable. However other method of pre-processing data like the multiplicative scatter correction function [<xref ref-type="bibr" rid="scirp.70808-ref23">23</xref>] must be tested for improving the accuracy of the prediction model of soil organic carbon with Vis-NIR spectroscopy. It’s also necessary to perform the neural network model on this dataset in order to better evaluate the effect of the continuum removal in the estimation of physical and chemical soil properties. This approach is a mean to better evaluate the performance of different data mining models for the study of the soil properties related to the Vis-NIR spectroscopy data.</p></sec><sec id="s6"><title>Cite this paper</title><p>Loum, M., Diack, M., Ndour, N.Y.B. and Masse, D. (2016) Effect of the Continuum Removal in Predicting Soil Organic Carbon with Near Infrared Spectroscopy (NIRS) in the Senegal Sahelian Soils. Open Journal of Soil Science, 6, 135-148. http://dx.doi.org/10.4236/ojss.2016.69014</p></sec></body><back><ref-list><title>References</title><ref id="scirp.70808-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Zornoza, R., Guerrero, C., Mataix-Solera, J., Scow, K.M., Arcenegui, V. and Mataix-Beneyto, J. (2008) Near Infrared Spectroscopy for Determination of Various Physical, Chemical and Biochemical Properties in Mediterranean Soils. 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