<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0123-4226</journal-id>
<journal-title><![CDATA[Revista U.D.C.A Actualidad & Divulgación Científica]]></journal-title>
<abbrev-journal-title><![CDATA[rev.udcaactual.divulg.cient.]]></abbrev-journal-title>
<issn>0123-4226</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Ciencias Aplicadas y Ambientales]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0123-42262016000100007</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[ESTIMATING SOIL PROPERTIES WITH MID-INFRARED SPECTROSCOPY]]></article-title>
<article-title xml:lang="es"><![CDATA[ESTIMACIÓN DE PROPIEDADES DEL SUELO A PARTIR DE ESPECTROSCOPÍA DE INFRARROJO MEDIO]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bonett]]></surname>
<given-names><![CDATA[Johana P.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Camacho-Tamayo]]></surname>
<given-names><![CDATA[Jesús H.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vélez-Sánchez]]></surname>
<given-names><![CDATA[Javier E.]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ingeniería Programa de Ingeniería Agrícola]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Nacional de Colombia Facultad de Ingeniería Programa de Ingeniería Agrícola]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>30</day>
<month>06</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>30</day>
<month>06</month>
<year>2016</year>
</pub-date>
<volume>19</volume>
<numero>1</numero>
<fpage>55</fpage>
<lpage>66</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0123-42262016000100007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0123-42262016000100007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0123-42262016000100007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The mid-infrared technique (MIR) can be used to identify and estimate soil properties with high accuracy. The aim of this study was to evaluate the potential of mid-infrared reflectance spectroscopy (MIR) for the estimation of chemical properties of soils as well as the application of this technique in obtaining digital maps. In this study, 249 soil samples from two orders, Andisols and Oxisols, were analyzed. The results obtained in the analysis of the curves verified that the greater number of attributes was reflected in the spectral region of 400 and 850cm-1. The Andisols stood out due to the results in the calibration of the models, which were better than those of the Oxisols. The spectral responses were similar in both soils, but with different levels of reflectivity. This difference was more notable in the Andisols, where the spectral peaks were lower, a fact attributable to the compounds of the organic matter that tended to obscure the soil, absorbing infrared light. The results demonstrated that the mid-infrared reflectance spectroscopy MIR allowed for the processing of a large number of samples, where information about various parameters was obtained in a single spectrum. The organic carbon was the attribute with the best prediction. Similarly, the semivariogram models and contour maps obtained from the spectral data models showed high similarity to those obtained from the laboratory measurements for those properties, where the spectral models were representative.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[La técnica de infrarrojo medio (MIR) puede ser utilizada para identificar y para estimar las propiedades de suelos, con gran precisión. El objetivo del presente estudio fue evaluar el potencial de la espectroscopia de reflectancia en el infrarrojo medio (MIR), para la estimación de algunas propiedades químicas del suelo, así como la aplicación de esta técnica, en la obtención de mapas digitales. Fueron analizadas 249 muestras de suelos de dos órdenes, correspondiente a Andisoles y Oxisoles. Los resultados obtenidos en el análisis de las curvas permiten verificar que el mayor número de atributos están reflejados en la región espectral de 400 y 850cm-1. El Andisol, se destacó por obtener mejores resultados en la calibración de los modelos que el Oxisol. Las respuestas espectrales en ambos suelos fueron similares, pero con diferentes niveles de reflectancia. Esta diferencia fue más marcada en los Andisoles, donde los picos espectrales fueron más bajos, hecho atribuible a los compuestos de la materia orgánica que tienden a oscurecer el suelo absorbiendo la luz infrarroja. Los resultados demuestran que la espectroscopia de reflectancia infrarroja MIR permite procesar una gran cantidad de muestras, donde se obtiene información sobre varios parámetros en un solo espectro. El carbono orgánico fue el atributo con la mejor predicción. De igual manera, los modelos de semivariograma, como los mapas de contorno, obtenidos a partir de los modelos con datos espectrales, mostraron alta similitud con los obtenidos a partir de las mediciones hechas en laboratorio, para aquellas propiedades, donde los modelos espectrales fueron representativos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Diffuse reflectance]]></kwd>
<kwd lng="en"><![CDATA[pedometrics]]></kwd>
<kwd lng="en"><![CDATA[soil analysis]]></kwd>
<kwd lng="en"><![CDATA[predictive models]]></kwd>
<kwd lng="en"><![CDATA[spatial variability]]></kwd>
<kwd lng="es"><![CDATA[Reflectancia difusa]]></kwd>
<kwd lng="es"><![CDATA[pedometría]]></kwd>
<kwd lng="es"><![CDATA[análisis de suelos]]></kwd>
<kwd lng="es"><![CDATA[modelos predictivos]]></kwd>
<kwd lng="es"><![CDATA[variabilidad espacial]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font size="2" face="verdana">     <p align="right"> <b> CIENCIAS AGROPECUARIAS-Art&iacute;culo Cient&iacute;fico</b></p>     <p align="center"><b>ESTIMATING SOIL PROPERTIES WITH MID-INFRARED SPECTROSCOPY</b></p>     <p align="center"><b>ESTIMACI&Oacute;N DE PROPIEDADES DEL SUELO A PARTIR DE ESPECTROSCOP&Iacute;A DE INFRARROJO MEDIO</b></p>     <p><b>Johana P. Bonett<sup>1</sup>;  Jes&uacute;s  H. Camacho-Tamayo<sup>2*</sup>; Javier E. V&eacute;lez-S&aacute;nchez<sup>3</sup></b></p>     <p><sup>1</sup> Ingeniero  Agr&iacute;cola, M.Sc. Universidad  Nacional  de  Colombia,  carrera  30  No.  45-03,  Bogot&aacute;,  e-mail:  <a href="mailto:johanabonett@gmail.com">johanabonett@gmail.com</a></p>     <p><sup>2</sup> Ingeniero Agr&iacute;cola, M.Sc. Ph.D., Profesor Asociado,  Facultad  de Ingenier&iacute;a, Programa de Ingenier&iacute;a Agr&iacute;cola. Universidad Nacional de Colombia,  carrera  45 No. 45-03,  Bogot&aacute;,  e-mail: <a href="mailto:jhcamachot@unal.edu.co">jhcamachot@unal.edu.co</a>*Autor para correspondencia</p>     <p><sup>3</sup> Ingeniero  Agr&iacute;cola, M.Sc., Ph.D., Profesor Asociado, Facultad  de Ingenier&iacute;a, Programa de Ingenier&iacute;a Agr&iacute;cola. Universidad Nacional de Colombia, Bogot&aacute;,  e-mail: <a href="mailto:jevelezs@unal.edu.co">jevelezs@unal.edu.co</a></p>     <p>Rev. U.D.C.A. Act. &amp; Div. Cient. 19(1): 55-66, Enero-Junio, 2016</p> <hr>     <p><b>SUMMARY</b></p>     ]]></body>
<body><![CDATA[<p>The  mid-infrared  technique (MIR)  can  be  used  to  identify and  estimate   soil properties  with high  accuracy.   The  aim of  this  study  was to  evaluate  the  potential  of mid-infrared reflectance spectroscopy (MIR) for the estimation of chemical properties  of soils as well as the application of this technique in obtaining digital maps. In this study, 249 soil samples  from two orders,  Andisols and Oxisols, were analyzed. The results obtained  in the analysis of the curves verified that the greater number of attributes  was reflected in the spectral  region of  400 and 850cm<sup>-1</sup>. The Andisols stood  out due to the results  in the calibration of the models, which were better than those of the Oxisols. The spectral  responses were similar in both soils,  but  with different levels of reflectivity. This difference was more  notable  in the Andisols, where the spectral  peaks were  lower,  a  fact  attributable   to  the  compounds of  the organic  matter  that  tended  to  obscure  the  soil, absorbing  infrared light. The results demonstrated that the mid-infrared reflectance  spectroscopy MIR allowed for the processing of a large  number  of samples, where information  about  various parameters was obtained  in a single spectrum. The organic carbon was the attribute  with the best  prediction.  Similarly, the   semivariogram   models   and   contour   maps   obtained  from  the  spectral  data  models   showed  high  similarity to those  obtained  from the laboratory measurements for those properties, where the spectral models  were representative.</p>     <p><b>   Key words:</b>  Diffuse reflectance,  pedometrics, soil analysis, predictive models,  spatial variability.</p>   <hr>     <p><b>RESUMEN</b></p>     <p>La t&eacute;cnica de infrarrojo medio (MIR) puede  ser utilizada para identificar y para estimar las propiedades de suelos, con gran precisi&oacute;n.  El objetivo del presente  estudio  fue evaluar el potencial de la espectroscopia de reflectancia  en el infrarrojo medio  (MIR), para  la  estimaci&oacute;n de  algunas   propiedades qu&iacute;micas  del suelo,  as&iacute; como  la aplicaci&oacute;n  de esta  t&eacute;cnica,  en la obtenci&oacute;n de mapas digitales. Fueron  analizadas  249 muestras de suelos  de dos  &oacute;rdenes, correspondiente a Andisoles y Oxisoles. Los resultados  obtenidos en el an&aacute;lisis de las curvas permiten  verificar que el mayor n&uacute;mero  de atributos est&aacute;n reflejados en la regi&oacute;n espectral  de 400 y 850cm<sup>-1</sup>. El Andisol, se destac&oacute; por obtener  mejores  resultados  en la calibraci&oacute;n  de los modelos  que el Oxisol. Las respuestas espectrales en ambos  suelos  fueron similares, pero con diferentes niveles de reflectancia. Esta diferencia fue m&aacute;s marcada  en  los Andisoles, donde  los picos  espectrales fueron m&aacute;s bajos, hecho  atribuible a los compuestos de la materia org&aacute;nica  que  tienden  a oscurecer el suelo  absorbiendo la luz infrarroja. Los resultados  demuestran que la espectroscopia de reflectancia  infrarroja MIR permite procesar una gran cantidad de muestras, donde  se obtiene  informaci&oacute;n  sobre varios par&aacute;metros en un solo espectro. El carbono  org&aacute;nico  fue el atributo con la mejor predicci&oacute;n.  De igual manera, los modelos  de semivariograma, como  los mapas de contorno, obtenidos a  partir  de  los  modelos  con  datos  espectrales, mostraron alta similitud con los obtenidos a partir de las mediciones  hechas  en laboratorio,  para  aquellas  propiedades, donde  los modelos  espectrales fueron representativos.</p>     <p><b>  Palabras  clave:</b> Reflectancia  difusa,  pedometr&iacute;a, an&aacute;lisis de suelos, modelos  predictivos, variabilidad espacial.</p> <hr>     <p><b>INTRODUCTION</b></p>     <p>Throughout  history,  people   have  used   different  methods for the  quantification  of the  elements  present  in soils with laboratory   chemical   analysis  in  order   to  characterize   or identify  the  types  of  soils  and  agricultural  potential.   For the   most   part,   the   analysis  to  determine   the   chemical properties   of  a  soil  is  wasteful  and  slow  and  requires  a high  investment,  especially when  intensive  and  systematic  surveys  are  conducted to  determine   the  spatial  variability and define the management zones (Plant, 2001).  Moreover, the  reagents   used  in  these  analyzes  generate waste  that may contain  reagents  or microorganisms that pose a risk to the environment,  health  and  natural  resources, due to their corrosive, reactive, explosive, toxic, biological-infectious,  and flammable characteristics (Viscarra-Rossel <i>et al</i>. 2006).</p>     <p>   There  is global consensus to develop cleaner,  cheaper  and faster methodologies to perform  soil analyzes that help, for example,  environmental  monitoring,  as  proposed by Okin &amp;  Painter  (2004)  and  Shepherd  &amp;  Walsh  (2007)  or  the modeling of biological processes or agricultural production or production systems  known as precision farming or localized handling  (Viscarra-Rossel <i>et al</i>. 2006;  Tittonell <i>et al</i>. 2008). Among  these  techniques, there  is the  perception   of  soil, which can be done through  spectral  signatures, obtained  by physical processes where a body absorbs energy and reflects part of it. In the case of soils, this absorption  depends on the compounds that form them, which reflect energy at different wavelengths.</p>     <p>   It is possible  to  find relationships  between  the  content   of certain nutrients in a soil and their spectral responses, which can be identified through  models.  The functions  that result from  modeling   phenomena for  estimating   soil  properties  from  auxiliary variables  are  called  pedotransfer  functions (PTF),  proposed by Bouma  &amp;  Van  Lanen  (1987),  whose objective  is  the  use  of data  that  needs  to be processed or transformed into the  required  data  (Bouma,  1989).  These PTFs provide  information  that  is usually difficult to obtain, either because of high costs  or difficulty in sampling.  Also, secondary   data  can  be  used,  commonly   available  in  soil survey reports or geographic information or otherwise easily obtained   (Minasny <i>et  al</i>.  2003).   Therefore,   one  purpose  of PTF's is decreasing costs  and  increasing  the  speed  of information collection.</p>     <p> The  potential   use  of  diffuse  reflectance   spectroscopy  in agriculture and specifically in the study of soil characteristics and  their  spatial  distribution  has  been   demonstrated  by obtaining  spectra  in the  VIS, NIR, MIR (Bilgili <i>et al</i>. 2010; Camacho-Tamayo <i>et  al</i>.  2014;  Vohland <i>et  al</i>.  2014).  The novelty of  this  technology   is  that  a  single  spectrum can simultaneously  characterize  various soil properties.  Similarly, for decision-making, it is helpful to  present  information  in a way that  the soil variability and  especially their properties  can  be  properly  identified,  represented  by  digital  maps.  Digital soil mapping  (DSM) is defined  as  the  creation  and manipulation   of  spatial   information   systems   applied   to soil studies  through  numerical  models  for determining  the spatial  and  temporal  variations,  as  well as  their properties,  based  on the  observation  and  knowledge  of them  and  the environmental  variables (Behrens <i>et al</i>. 2014).</p>     ]]></body>
<body><![CDATA[<p>   DSM is  characterized  by  the  adoption   of  new  tools  and techniques  for  analyzing,  integrating   and   visualizing soil and  environmental   data,  obtained   by remote   or  close-up  observation,   or  for  the  use   of  geostatistical   techniques. These tools are essential  to streamlining  and perfecting  soil mapping  (Grunwald, 2009).</p>     <p>   This study  aimed  to  evaluate  the  potential  of mid-infrared reflectance   spectroscopy  (MIR) for  the  estimation   of  soil chemical  properties  through  the  calibration  of partial least square  regression  models,  as well as the application  of this technique for obtaining digital maps.</p>     <p><b>MATERIALS AND METHODS</b></p>     <p><b>Characterization  of  the  study  area. </b>For  this  study,  90 samples  were taken  from an Andisol in the  municipality of Silvania (Cundinamarca, Colombia)  and  160  samples  were taken  from  an  Oxisol in the  municipality  of Puerto  L&oacute;pez (Meta, Colombia).  The  samples  were air dried  and  passed  through  a 2mm  sieve to obtain  the spectral  responses and the pH was determined with a potentiometer and a 1:1 soil/ water ratio; the exchangeable aluminum  (Al.I) was revealed with titration; along with phosphorus by the Bray II method;  Ca,  Mg, K and  Na  by extraction  with ammonium acetate and  a 7.0 pH and  organic  carbon  by the method  modified of Walkley Black. The spectral  responses were obtained  with a Prestige 21 sensor  (Shimadzu Corporation)  that covered a range between 4000 and 400cm<sup>-1</sup> of the MIR region.</p>     <p><b>Processing the spectral responses</b>. Initially, a characterization of the spectral  responses of the two types of soils was carried out to identify the similarities and differences.  In addition, the correlation  of the properties  was analyzed at different wavelengths  of the spectral  response, along with the amplitude  correlation,  from the  sum  of the  maximum  and minimum  absolute  values of the observed linear correlation.</h2>     <p><b>Calibration of the models. </b>The spectral  model  calibration was performed  using partial least squares  regression  (PLSR) (Wold <i>et al</i>. 2001), widely used in chemometrics procedures that   provide   a   better   approach  of  quantitative   models between predictor variables (X) and responses ( Y), featuring higher  performance than  multiple  linear regression  (MLR).</p>     <p>  In the  calibration,  the  coefficient of determination (R<sup>2</sup>), the root mean square error of prediction (RMSE) and the residual deviation from the  prediction  (RPD) were evaluated.  These calibration  parameters  served  as  the  basis  for  indicating the  models  that  performed  better  and  were obtained  with ParLeS,  developed   by  Viscarra-Rosel  (2008).  From  these results, descriptive statistics were performed for all of the data of the  analyzed attributes  using  SPSS  version 18.0.  In this analysis, the mean,  median,  minimum and maximum  values of skewness,  kurtosis  and  coefficient of variation (CV) were determined for  each  attribute,  measured in the  laboratory and obtained  from the spectral models.</p>     <p><b>Geostatistical analysis.</b> The spatial variability of the analyzed attributes    was   determined   with   geostatistical    methods using  universal  kriging and  semivariogram  analysis (Bailey &amp; Gatrell, 1998).  Based  on  the  fitness  of the  models,  the nugget  (C<sub>0</sub>), the sill (C<sub>0</sub> + C), the range  (R) and  the degree  of spatial dependence (DSD) determined as the ratio of the nugget  and the sill (C / C<sub>0</sub> + C), considered strong  for DSD when  above  0.75,  moderate between  0.25  and  0.75,  and weak below 0.25  (Cambardella <i>et al</i>. 1994).  The theoretical  semivariogram   models   were  estimated  using   GS+   v.7. For  the  selection  of the  semivariogram, different functions were  evaluated  to  choose the  best  data  fit: the  spherical, exponential   or  Gaussian   models.   The  prediction   of  the kriging attributes  resulted in contour  maps  using Surfer v.10 (Golden Software, CO, USA), based  on the observed  values and those obtained  from the spectral models.</p>     <p><b>RESULTS AND DISCUSSION</b></p>     <p><b>Analysis of the spectral  curves. </b>The spectral  responses of the Oxisols and Andisols differed mainly in the region of 400 to  2200cm<sup>-1</sup> (<a href="#f1">Figure  1</a>), where  the  Oxisols showed  higher reflectance   due  to  their  lower  content   of  organic  matter  (OM). In general,  OM absorbs energy and promotes a lower intensity  of reflectance  across  the  spectrum (McDowell <i>et al</i>.  2012).  This  difference  is due  to  weathering  processes in which Oxisols are strongly influenced  by climatic factors such as high temperatures and heavy rainfall, while Andisols receive greater influence from the relief, with higher contents of OM and the presence of volcanic ash.</p>     ]]></body>
<body><![CDATA[<p><a name="f1"></a></p>    <p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07f1.jpg"></p>     <p>  By looking  at  the  spectra  for the  soil type and  identifying where the attributes increased expression, it was verified that the Oxisol presented its maximum  reflectance  in the spectral region of 466 to 680cm<sup>-1</sup>, with values up to 69%. According to McDowell <i>et al</i>. (2012), the region of the spectral signature  of soils  located  between  600  and  1500cm<sup>-1</sup> is where  the majority of characteristics of the  fundamental vibrations of silicate minerals in the soil are found. In Oxisols, McDowell <i>et al</i>. (2012) found that the spectral  characteristics caused  by iron oxides have great particularity because they produce  an increase in reflectance  at short wavelengths and a decrease in reflectance  at slightly longer wavelengths,  as can also be verified in Andisols.</p>     <p>   High percentages of reflectance are also an effect of reflection of infrared light in the spectral  range  of light or dark colors. In the analyzed soils, the light emission could be an indicator of the low content  of humic acids, responsible  for providing dark colored  solid that are high in OM. For the Andisol, the curve in the spectral  region  was smoother than  that  of the Oxisol, partly due to the higher content  of OM. Dark colors in soils absorb  light emitted from the spectrum, which reduces  the reflectance percentage, resulting in a narrower curve. The region between 900 and 2000cm<sup>-1</sup>, according to McDowell <i>et al</i>. (2012), may be ambiguous due to overlapping attributes,  such   as   organic   compounds,  carboxyl,  amide   and   CH groups, as well as common minerals of quartz and kaolinite silicates.</p>     <p>   <b>Correlation  between   the   attributes   and   the   spectral response. </b>In the  analysis of the  correlations,  the  Al in the Andisol presented a positive correlation in most of the spectral region,  with increased expression  with a correlation  of 0.68 in  the  spectral  region  of 3502cm<sup>-1</sup>. For  the  Oxisol, lower correlation values (<a href="#f2">Figure 2</a>) were observed. Correlations with amplitude  values close  to one  (1) indicate  that the spectral response  can  be  used   as  an  alternative  to  estimate   the contents of an element,  as seen for Al in the Andisol, whose amplitude  was 0.78.</p>       <p><a name="f2"></a></p>    <p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07f2.jpg"></p>     <p>  In the analysis of the correlations for exchangeable bases Ca, K, Mg and  Na, a similar behavior  was found  in both  soils, where  the  spectral  response obtained   in the  Andisol had a broader  amplitude  than  the  Oxisol. For  these  attributes,  the Andisol presented a negative correlation  in most  of the spectrum and  a positive one  in some  points.  The  highest peak  in  the  spectral  region  was  at  1850cm<sup>-1</sup>, with values from 0.26  for K to 0.48  for Ca, an attribute  that  presented a  range  of  0.80,  a  figure  that  suggests that  the  spectral model  presented a  better  performance in  estimating   this property. In turn, the Na had a lower amplitude,  with a value of 0.52,  influenced  by factors  that  are not  readily detected in the spectral response obtained  in the MIR, a behavior due to low levels of exchangeable Na and  their variability in the landscape and Na levels in the external soil solution, among others (Dunn <i>et al</i>. 2002).</p>     <p>   The contents of Mg and K presented an intermediate behavior with amplitudes of 0.68 and 0.60. According to Garz&oacute;n <i>et al</i>. (2010), for these soils, the contents of K are most affected by the anthropic  management, which can  cause  a loss of this attribute, reflecting a lower amplitude.</p>     <p>   The Ca, K, Mg and Na in the Oxisol presented a low amplitude.  Often,  the  spectral   response  in  these   soils  presented a smooth   and  low  expression.   The  lower  amplitude   curve observed  for  these  attributes  may  decrease the  accuracy  in  the estimating  model,  which has  been  attributed  to low fertility and,   therefore,   low  attributes.   This  reaction   was expected  because, in the sand  and  clay fraction of Oxisols, the  predominant  minerals   are  quartz  and   kaolinite,  low indicators of potential soil fertility (Pe&ntilde;a <i>et al</i>. 2009).</p>     ]]></body>
<body><![CDATA[<p>   The OC had  a correlation  with a negative pattern  less than  -0.8 in the region of 1658cm<sup>-1</sup> for the Andisol. There was a positive correlation for the Oxisol and part of the curve for the Andisol, close to 0.6 in the regions  of 1168  and  3693cm<sup>-1</sup>, respectively. Considering  the soil orders,  the Andisol had  a higher  amplitude  than  the  Oxisol, with values of 1.30  and  0.55,  respectively. According to Bellon-Maurel &amp; McBratney (2011),  carbonates are easy to find with MIR due  to strong absorption  bands.  The higher contents of OC in the Andisol favored obtaining a better estimation model for this attribute.</p>     <p>   In the Oxisol, the OM contents were low and  the spectrum curve  was  flatter,  indicating   a  lower  expression   of  this attribute,  despite  having  a  direct  correlation.  The  Oxisols could have this characteristic of identification due to the low OM contents in the correlation  curve in the spectral  region (Daza <i>et al</i>. 2006).</p>     <p>   The P demonstrated a contrary correlation, where the Oxisol presented  negative  correlations.   On  the  other  hand,   the Andisol  had  a  positive  correlation   throughout  the  curve, higher  than  0.5  with a  positive  correlation  of 0.86  in the spectral region of 2054cm<sup>-1</sup>.</p>     <p>   In the analysis of the curve amplitude,  the P in the Andisol had  the greater  amplitude,  0.52,  while for the Oxisol it was  0.07. It is worth mentioning  that the analyzed soils presented agricultural  intervention  and  that  the  broadest  amplitude  was  associated with the  higher  contents of this  attribute. Therefore,  the wide amplitude  observed  in the correlation  of P was mainly due to the phosphoric fertilization of crops and the presence of P in volcanic ash, which is released in the soil solution, allowing corrections in the pH (Mu&ntilde;oz <i>et al</i>. 2006).</p>     <p>  The pH in the Andisol had  a -0.3 inverse correlation  up to the region of 1747cm<sup>-1</sup>, where it started  to show a positive correlation. For the Oxisol, this property had a higher positive correlation of 0.5. By analyzing the amplitude of this attribute for these  soils, the Oxisol presented a range  of 0.55,  being greater  than  the amplitude  of the Andisol, whose value was  0.48.  In general,  one  can  say that these  curves allowed for a similar estimation  for this attribute from spectral models.</p>     <p>   <b>Calibration of  the  models. </b>The  models  obtained  for the Andisol were  generally  acceptable, where  the  outstanding attributes were OC (R<sup>2</sup> = 0.82, RPD&gt; 2.3) and P (R<sup>2</sup> = 0.69, RPD&gt; 1.8) (<a href="#t1">Table 1</a>). In general, the soil OC always presented good models  for estimating  this attribute  from the spectral responses (Camacho-Tamayo <i>et al</i>. 2014;  McDowell <i>et al</i>.  2012).  For the Oxisol, the models  showed  lower quality for different attributes,  where the contents of OC and  Al had  a  good response, with values of R<sup>2</sup> = 0.74 and RPD&gt; 1.95; R<sup>2</sup>  = 0.65; RPD&gt; 1.61, respectively. The other attributes did not indicate  a good  estimation  from the models.  These  results are consistent with the correlations  because the Oxisol was less  reliable in the  calibration  models,  coinciding  with the report by Reeves <i>et al. </i>(2006).</p>       <p><a name="t1"></a></p>    <p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07t1.jpg"></p>     <p><b>Descriptive statistics.</b> Once the models were calibrated and validated,  the  localization and  dispersion  measurements of the data recorded  in the laboratory and those estimated with the models (<a href="#t2">Table 2</a>) were verified, where a similarity between the  measurements and  estimations was  observed  for the different attributes  with similar mean,  median,  coefficient of variation (CV), skewness  and  kurtosis  values. This similarity was higher for the OC, Al and pH for the Andisol and Oxisol due to the better model, as compared to the results obtained  for the other attributes,  whose spectral  models  were slightly representative,  with the  exception  of Ca, Mg and  P for the Andisol.  On  the  other  hand,   the  attributes   that  resulted in  good  models  also  presented a  similar  behavior  in the statistical description,  estimated with the models.</p>     <p><a name="t2"></a></p>    ]]></body>
<body><![CDATA[<p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07t2.jpg"></p>     <p>   In performing the analysis through the MIR spectroscopy, the soil properties  demonstrated different levels of reflectivity in similar spectral  regions.  This difference  was more  notable in the  Andisol, where the  spectral  peaks  were lower, a fact attributable  to the compounds of the OM, which tended  to obscure  the soil, absorbing  the infrared light.</p>     <p><b>Geostatistical analysis.</b> For  the  Andisol, the  Al, Ca,  CO, estimated K, Mg, estimated Na, measured P and pH were fit to the exponential model. The measured K and measured Na were fit to a Gaussian  model and finally the estimated P was fit to the spherical  model.  In all of the attributes,  the ranges were different (<a href="#t3">Table 3</a>). These  results  are  similar to those reported  by Esfandiarpoor <i>et al</i>. (2010).</p>     <p><a name="t3"></a></p>    <p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07t3.jpg"></p>     <p>   The spatial dependence in all of the analyzed attributes  was moderate to strong.  The Al, Ca, CO, K, Mg, Na, P and  pH presented a moderate spatial dependence and the estimated Mg and  Na  had  a  strong   spatial  dependence,  a  similar behavior in studies  by Jaramillo  (2009)  for soils with andic properties in Colombia. The moderate spatial dependence in most of the attributes may indicate that these soils still retain their edaphic-genetic variability, which comes  from  factors such  as  slope,  relief and  rainfall, among   others,  although  these soils are used for agricultural activities. The R<sup>2</sup> for most of the attributes  was greater  than  0.70,  which may indicate good accuracy  of attributes with kriging (<a href="#t3">Table 3</a>).</p>     <p>   For   the   Oxisol,  the   exponential   and   Gaussian   models  presented a better fit. For the Al, OC, estimated Mg, estimated Na, P and measured pH, an exponential model was used and, for the Ca, K, measured Mg, and measured Na, spherical and Gaussian models  were used (<a href="#t3">Table 3</a>).</p>     <p>   For the K, measured Na, measured P, and estimated pH, there was moderate dependence and,  for the rest of the analyzed attributes  in the soils from Meta, there  was a strong  spatial dependence, as reported for the region by Camacho-Tamayo <i>et al</i>. (2008) and Pe&ntilde;a <i>et al</i>. (2009). The R<sup>2</sup> of the attributes,  as also reported  by Martins <i>et al</i>. (2011),  was above  0.80, except  for the  Ca,  measured Mg, and  measured P, which had R<sup>2</sup> values of 0.69,  0.72,  0.75 and 0.68,  respectively. For the  attributes with moderate spatial  dependence, it could be  concluded that  the  kriging estimation  would have  less precision, as established by Parfitt <i>et al</i>. (2009).</p>   <b>Contour maps. </b>In <a href="#f3">figure 3</a>, the Al is distributed with the higher values in the left part of the study area, which corresponds to the higher land, but represents a low percentage of the study area.  In general,  the majority of the studied  land presented values  lower than  0.35cmolc kg<sup>-1</sup>,  located  on the  right and  central  areas  of the studied  land on both  the maps  for the estimated and the measured values.</p>       <p><a name="f3"></a></p>    <p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07f3.jpg"></p>     ]]></body>
<body><![CDATA[<p>   For the Ca, the spatial distribution  was given by the higher percentage of the contents of 5.0cmolc kg<sup>-1</sup>, located  in the upper-left  area  of the  land,  and  in the  higher  contents of around  9.5cmolc kg<sup>-1</sup>,  located  in the  lower-left side  of the land, and  that decreased toward the right in both  maps  for the estimated and measured values. The OC in the Andisol had  a spatial  distribution  dominated by the  high  contents because the values above 6% occupied the higher percentage of the land, mainly in the map  of the estimated values. This behavior  was  expected   for  this  attribute   because,  in  the models obtained for the OC, it presented good estimated. The K had a spatial distribution that was similar to that of the OC, where the contents over 0.82cmolc kg<sup>-1</sup> occupied  the higher percentage and were located in the lower-left part of the land.</p>     <p>   Attributes  such   as  the  Mg  and   Na  did  not  have  good estimation   models;   for  this  reason,   there  is  a  difference between  the  maps  obtained  with the  measured vales and the maps  obtained  with the estimated values, resulting from diffusion, spatial distribution.  In the analysis of the contour  maps  for P, there were medium  to low contents, with values below 14mg  kg<sup>-1</sup> and distribution in the center of the map.</p>     <p>   The prevailing pH values were 5.5, located  at the bottom  of the map.  When the analysis was carried out, these  contents did not vary too much, in a range where the solubility of some  attributes  was favored,  but  affecting  the  others.  According to  Camacho-Tamayo <i>et  al</i>.  (2008),  areas  with lower pHs have lower concentrations of Ca and  Mg and,  therefore,  a predominance of low levels of certain bases  in the soil.</p>     <p>   In the contour  maps  of the Oxisol, there were different spatial trends for some attributes, where the spectral models did not show  good results, contributing to the quality and representativeness of the  spatial  distribution  maps  obtained  from these  models (<a href="#f4">Figure 4</a>). The Al had a slightly homogeneous distribution. The higher contents were between 1.4 and 1.7cmolc kg<sup>-1</sup>, located on the left side of the field. The lower content  was between 1 and  1.3cmolc kg<sup>-1</sup>, located on the right side and bottom  of the land,  and the intermediate  contents were in the central area.</p>       <p><a name="f4"></a></p>    <p align="center"><img src="img/revistas/rudca/v19n1/v19n1a07f4.jpg"></p>     <p>   In the analysis of the kriging data  interpolation  for the pH, the maps  had the better fit. The distribution of this attribute was  more  homogeneous than  Al, probably  due  to the  low variability in the content  of the soils. On the maps  obtained  from the measured data  as well as the estimated data  from the spectral models, the higher pH values were at the bottom  of the field,  with values between  4.70  and  4.93,  with lower ranges at the top, near 4.40. Accordingly, it can be concluded that the upper part of the land had serious acidity problems  caused  by excesses  of Al.</p>     <p>   Attributes such as exchangeable bases,  Na and P did not show good results. This was expected since these attributes presented low contents in the soil and the resulting spectral models  were unrepresentative, thereby  generating  inadequate estimations. This effect was particularly noticeable in the Oxisols, soils with a low cation exchange  capacity (Camacho-Tamayo <i>et al</i>. 2008).</p>     <p>   In  analyzing  the  behavior  of  the  maps,   the  existence  of spatial variability of the soil attributes  was confirmed,  which provided the ability to identify areas  that need  amendments (Orjuela-Matta <i>et al</i>. 2012), resulting in a way to improve soil use, reducing  production costs  and environmental  pollution (Martins <i>et al. </i>2011).</p>     <p>   Similarly, the results of this study demonstrate that, through  the  mid-infrared  reflectance   spectroscopy MIR technique, large  amounts of  samples   can  be  processed, which  can provide information for several parameters in one spectrum. In addition, the integration  of the laboratory techniques and mathematical modeling based on MIR spectral responses can be successfully performed  for the analysis of soil attributes.  With the geostatistical  analysis, it was concluded that most of the attributes  fit to the exponential and spherical models.  The  analysis  of  the   semivariograms  showed   that   these attributes presented spatial dependence in both the Andisols and  the  Oxisols,  where  those  attributes  that  presented a representative  spectrum  model  provided  adequate  digital maps  based  on the values estimated by the models.</p>     ]]></body>
<body><![CDATA[<p>   <b>Acknowledgements. </b>The   authors   would   like  to   thank the  Divisi&oacute;n de  Investigaci&oacute;n  de  la  Sede   Bogot&aacute;   of  the Universidad  Nacional  de  Colombia  for  partially financing this study  through  project  C&oacute;digo  QUIPU 13140. <u>Conflicts</u> <u>of  interest:</u> This paper  was prepared  and  revised  with the participation  of all of the authors  who declare  that there are no conflicts of interest that would negatively affect the validity of these results.</p>     <p><b>BIBLIOGRAPHY</b></p>     <!-- ref --><p>1.   BAILEY,  T.C.; GATRELL,  A.C. 1998.  Interactive  Spatial Data Analysis. Harlow, UK: Longman.  413p.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=3748222&pid=S0123-4226201600010000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     <!-- ref --><p>   2.   BELLON-MAUREL, V.;   McBRATNEY,   A.  2011.   Nearinfrared (NIR) and  mid-infrared  (MIR) spectroscopic techniques for assessing the amount  of carbon stock in soils - Critical review and  research  perspectives. Soil Biol. Biochem.  43(7):1398-1410.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=3748224&pid=S0123-4226201600010000700002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     <!-- ref --><p>  3.   BEHRENS,  T.;   SCHMIDT,  K.;  RAM&Iacute;REZ-L&Oacute;PEZ, L.; GALLANT, J.; ZHU, A.; SCHOLTEN, T. 2014.  Hyperscale digital soil mapping and soil formation analysis. Geoderma 213:578-588.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=3748226&pid=S0123-4226201600010000700003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     <!-- ref --><p>   4.   BILGILI, A.V.;   ES,   H.M.;  AKBAS,  F.;   DURAK,  A.; HIVELY, W.D. 2010.  Visible-near infrared reflectance spectroscopy for assessment of soil properties  in a semi-arid area of Turkey. J. Arid Environ. 74(2):229-238.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=3748228&pid=S0123-4226201600010000700004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>     ]]></body>
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