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  <front>
    <journal-meta><journal-id journal-id-type="publisher">SOIL</journal-id><journal-title-group>
    <journal-title>SOIL</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SOIL</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">SOIL</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2199-398X</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/soil-7-717-2021</article-id><title-group><article-title>Estimation of soil properties with mid-infrared<?xmltex \hack{\break}?> soil spectroscopy across yam production<?xmltex \hack{\break}?> landscapes in West Africa</article-title><alt-title>Estimation of soil properties with mid-infrared soil spectroscopy</alt-title>
      </title-group><?xmltex \runningtitle{Estimation of soil properties with mid-infrared soil spectroscopy}?><?xmltex \runningauthor{P.~Baumann et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Baumann</surname><given-names>Philipp</given-names></name>
          <email>baumann-philipp@protonmail.com</email>
        <ext-link>https://orcid.org/0000-0002-3194-8975</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lee</surname><given-names>Juhwan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7967-2955</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Frossard</surname><given-names>Emmanuel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Schönholzer</surname><given-names>Laurie Paule</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Diby</surname><given-names>Lucien</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Hgaza</surname><given-names>Valérie Kouamé</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff7">
          <name><surname>Kiba</surname><given-names>Delwende Innocent</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Sila</surname><given-names>Andrew</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Sheperd</surname><given-names>Keith</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7144-3915</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Six</surname><given-names>Johan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9336-4185</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Group of Sustainable Agroecosystems, Institute of Agricultural Sciences,<?xmltex \hack{\break}?> ETH Zurich, 8092 Zürich, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Smart Agro-industry, Gyeongsang National University, Jinju, 52725, Republic of Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Group of Plant Nutrition, Institute of Agricultural Sciences, ETH Zurich, 8315 Lindau, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>World Agroforestry Centre (ICRAF), Côte d’Ivoire Country Programme, BP 2823 Abidjan, Côte d’Ivoire</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Centre Suisse de Recherches Scientifiques en Côte d’Ivoire, 01 BP 1303 Abidjan, Côte d’Ivoire</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Département d’Agrophysiologie des Plantes, Université Peleforo Gon Coulibaly,<?xmltex \hack{\break}?> BP 1328 Korhogo, Côte d’Ivoire</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Département Gestion des Ressources Naturelles et Systèmes de Production,<?xmltex \hack{\break}?> Centre National de la Recherche Scientifique et Technologique,<?xmltex \hack{\break}?> Institut de l'Environnement et Recherches Agricoles, 01 BP 476 Ouagadougou, Burkina Faso</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Land Health Decisions, World Agroforestry Centre (ICRAF), Nairobi, Kenya</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Philipp Baumann (baumann-philipp@protonmail.com)</corresp></author-notes><pub-date><day>27</day><month>October</month><year>2021</year></pub-date>
      
      <volume>7</volume>
      <issue>2</issue>
      <fpage>717</fpage><lpage>731</lpage>
      <history>
        <date date-type="received"><day>18</day><month>December</month><year>2020</year></date>
           <date date-type="rev-request"><day>18</day><month>January</month><year>2021</year></date>
           <date date-type="rev-recd"><day>4</day><month>August</month><year>2021</year></date>
           <date date-type="accepted"><day>17</day><month>August</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Philipp Baumann et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021.html">This article is available from https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021.html</self-uri><self-uri xlink:href="https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021.pdf">The full text article is available as a PDF file from https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e224">Low soil fertility is challenging the sustainable production of yam and other staple crops in the yam belt of West Africa. Quantitative soil measures are needed to assess soil fertility decline and to improve crop nutrient supply in the region. We developed and tested a mid-infrared (mid-IR) soil spectral library to enable timely and cost-efficient assessments of soil properties. Our collection included 80 soil samples from four landscapes (10 km <inline-formula><mml:math id="M1" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 km) and 20 fields per landscape across a gradient from humid forest to savannah and 14 additional samples from one landscape that had been sampled within the Land Health Degradation Framework. We derived partial least squares regression models to spectrally estimate soil properties. The models produced accurate cross-validated estimates of total carbon, total nitrogen, total sulfur, total iron, total aluminum, total potassium, total calcium, exchangeable calcium, effective cation exchange capacity, and diethylenetriaminepentaacetic acid (DTPA)-extractable iron and clay content (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>). The estimates of total zinc, pH, exchangeable magnesium, bioavailable copper, and manganese were less predictable (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.50</mml:mn></mml:mrow></mml:math></inline-formula>). Our results confirm that mid-IR spectroscopy is a reliable and quick method to assess the regional-level variation of most soil properties, especially the ones closely associated with soil organic matter. Although the relatively small mid-IR library shows satisfactory performance, we expect that frequent but small model updates will be needed to adapt the library to the variation of soil quality within individual fields in the regions and their temporal fluctuations.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<?pagebreak page718?><sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e273">Yam (<italic>Dioscorea</italic> spp.) is an important food and cash crop in West Africa. The yam belt of West Africa spans across the central zone of coastal countries in West Africa, located across the humid forest zone and northern Guinean savanna. It contributes to about 92 % of total world yam production, e.g., a total yield of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">73</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> t in 2017 <xref ref-type="bibr" rid="bib1.bibx17" id="paren.1"/>. The cropping area in the West African yam belt has been expanded with accelerated population growth. The deforestation and expansion of agricultural land has in many places caused soil degradation. Furthermore, there has been a trend of shortened fallow periods in the cropping areas of West Africa over the last decades, which has further exacerbated the decline in soil fertility across the yam belt. Traditionally, yam is grown without external input in these areas. Therefore, the production of yam and other crops grown in the region depends on soil organic matter (SOM) status <xref ref-type="bibr" rid="bib1.bibx41" id="paren.2"/>, which serves as a main pool of plant-available nutrients and provides cation exchange surfaces for soil nutrients <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx50" id="paren.3"/>. A particularly strong positive relationship between high organic matter stocks and yam productivity is reported after fallow and when no fertilizer is added <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx28" id="paren.4"/>. Thus, maintaining or increasing SOM and available nutrient levels is of utmost importance for sustainable production of yam and other crops in West Africa <xref ref-type="bibr" rid="bib1.bibx8" id="paren.5"/>. Furthermore, linking soil properties and yam yields <xref ref-type="bibr" rid="bib1.bibx19" id="paren.6"/> and accounting for soil macro- and micronutrient status <xref ref-type="bibr" rid="bib1.bibx40" id="paren.7"/> are fundamental to improving crop yields and soil management strategies.</p>
      <p id="d1e316">Soil fertility is an integrative measure of soil attributes and their interactions that support the long-term agricultural production potential. Soil fertility is commonly decomposed into physical, chemical, and biological major components  <xref ref-type="bibr" rid="bib1.bibx1" id="paren.8"/>. Here, it is important to interpret soil fertility in the form of soil conditions and functions at an adequate resolution over time and space and in relation to the crop of interest. For yam, low tuber yields are often attributed to an unbalanced ratio of essential nutrients (i.e., N, P, K) available in the soil <xref ref-type="bibr" rid="bib1.bibx16" id="paren.9"/> and a fast mineralization and hence depletion of organic matter <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx22" id="paren.10"/>. Yet, the relationship between soil properties and tuber yield is not fully understood <xref ref-type="bibr" rid="bib1.bibx19" id="paren.11"/>. The reason is that the response of yam to mineral fertilization is highly variable because of confounding environmental and management variables, such as climate, soil type, inherent soil fertility, micronutrient deficiencies, tillage, seed tuber quality, planting date and density, staking, and disease pressure across the yam belt <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx40 bib1.bibx11 bib1.bibx15" id="paren.12"/>. Further, there are no soil fertility recommendations specific for yam under West African conditions. For this reason, establishing yam field trials designed with different organic and mineral fertilization strategies within different yam-growing regions is required to optimize yam nutrient supply targeting regional soil and environmental conditions <xref ref-type="bibr" rid="bib1.bibx19" id="paren.13"/>. Despite the importance of soil fertility, it is challenging to quantify soil measures at sufficient temporal and spatial resolution to relate them to yam productivity together with other management effects.</p>
      <p id="d1e338">To quickly assess key soil properties, such as soil organic carbon (SOC) and cation exchange capacity (CEC), we need more cost- and time-efficient methods in addition to the traditional wet chemistry laboratory analyses that are often cost-intensive and time-consuming. Proximal sensing is a method that can provide reliable, rapid, and inexpensive soil measurements <xref ref-type="bibr" rid="bib1.bibx54" id="paren.14"/>. Soil visible and near-infrared (vis–NIR) and mid-infrared (mid-IR) diffuse reflectance spectroscopy has gained popularity over the past 30 years to assess soil properties in a complementary manner to conventional laboratory analytical methods <xref ref-type="bibr" rid="bib1.bibx38" id="paren.15"/>. For model development and calibration but, importantly, also for validation purposes, soil IR spectroscopy requires laboratory reference analysis data. Previous studies have shown successful spectroscopic predictions of soil properties, such as organic C, texture, cation exchange capacity (CEC), and exchangeable K <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx12 bib1.bibx38 bib1.bibx48" id="paren.16"/>. Many soil chemical and physical properties, such as soil mineralogy and the concentration, forms, and distribution of SOM, are closely associated with IR spectral diversity. However, for determining a range of extraction-based soil properties, the predictive capability seems variable. This can be caused by complex surface chemical processes that are not directly related to soil organic matter and/or insufficient  densities available at local scale to represent such locally complex relationships <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx2 bib1.bibx46" id="paren.17"/>. Further, a library that includes a broad range of soil biophysical conditions found in the region in which it is used needs to be established. Depending on the geographical extent of the study – field <xref ref-type="bibr" rid="bib1.bibx7" id="paren.18"><named-content content-type="pre">e.g.,</named-content></xref>, region, country <xref ref-type="bibr" rid="bib1.bibx10" id="paren.19"><named-content content-type="pre">e.g.,</named-content></xref>, continent <xref ref-type="bibr" rid="bib1.bibx48" id="paren.20"><named-content content-type="pre">e.g.,</named-content></xref>, world <xref ref-type="bibr" rid="bib1.bibx56" id="paren.21"><named-content content-type="pre">e.g.,</named-content></xref> – various statistical predictive modeling strategies are typically employed to account for geographically regional variability in soil properties and determine empirical relationships between spectra and soil attributes. Particular subsets of and features in spectra are characteristic of functional groups of soil components, and thus, elucidating spectral features that are important for the prediction of a particular soil attribute helps to understand and validate the mechanisms based on which the empirically models predict the soil properties.</p>
      <p id="d1e374">In this work, we aim to develop mid-IR spectroscopy as a diagnostic tool for key analytical soil variables within four climatically, ecologically, and agriculturally distinct landscapes in Burkina Faso and Côte d’Ivoire. For yam and other cash crops, there is a lack of soil diagnostic tools to identify factors limiting yields and to derive site-specific<?pagebreak page719?> fertilizer recommendations within and across landscapes. In these regions, yam has substantial economic importance for small-holder farmers. As land management and soil status is a key factor not only for yam but also for other high-value crops in the region, quick and cost-effective soil status assessments should be transferable to other crops with similar nutrient demands. Thus, the main objectives of this study were to (1) develop and evaluate openly accessible and reusable mid-IR spectroscopic models to estimate soil properties for selected landscapes representing major soil and climatic conditions in the West African yam belt, (2) to determine important spectral features for specific soil properties, and (3) to build a new soil spectral library in four landscapes of the West African yam belt for soil prediction and assessment. Finally, we make specific recommendations on whether and how specific mid-infrared diagnostic measures are applicable for different soil management and screening purposes. We also discuss the spectroscopic evaluation of the soil's capacity to retain and release nutrients for sustained and improved cropping in the region.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Landscapes and soil sampling</title>
      <p id="d1e392">Our study area covered the climatic and soil biophysical conditions representative of the West African yam belt. We selected four landscapes, two in Côte d’Ivoire and two in Burkina Faso. Each landscape (approximately 10 km <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 km) represents a diverse geographic ecoregion. The landscapes cover a gradient between humid forest and the northern Guinean savannah. Specifically, the landscape Liliyo in Côte d’Ivoire is at 5.88<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and in the humid forest zone. The predominant soil type is Ferralsol <xref ref-type="bibr" rid="bib1.bibx24" id="paren.22"/>. The landscape Tiéningboué in Côte d’Ivoire is at  8.14<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and belongs to the forest savannah transitional zone. The soils are dominated by Nitisols and Lixisols <xref ref-type="bibr" rid="bib1.bibx24" id="paren.23"/>. The landscape Midebdo is at  9.97<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and in the sub-humid savannah of Burkina Faso. Its dominant soil types include Lixisols, Gleysols, and Leptosols <xref ref-type="bibr" rid="bib1.bibx24" id="paren.24"/>. The landscape Léo is at 11.07<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and in the northern Guinean savannah of Burkina Faso and has Lixisols and Vertisols as the dominant soil types <xref ref-type="bibr" rid="bib1.bibx24" id="paren.25"/>. The mean annual rainfall was approximately  1300 mm in Liliyo, and 900 mm in Tiéningboué, Midebdo, and Léo.</p>
      <p id="d1e451">During July and August 2016, we sampled the soil from a total of 80 fields under yam cultivation across the four landscapes, i.e., 20 yam fields in each landscape. The fields were selected in advance by taking into account visual variation in soil color and texture across the landscape. The yam fields selected contained the maximum soil variability based on soil color and cropping history, taking into account both local farmers' knowledge on soil fertility and agronomic extension expertise. Yam is typically planted on soil mounds, ranging from 5000 to 10 000 mounds ha<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a single yam plant per mound. Within each field, we sampled the soil at four adjacent mounds in square arrangement, which were spaced between 0.5 and 2 m. At each mound, six to eight auger cores (25 mm in diameter) to the 0.3 m depth were taken at a radius between 0.15 and 0.3 m away from the center of a mound, depending on the size of the mounds. Then the soils from the four mounds were combined into one composite sample per field (around 500 to 1000 g of soil).</p>
      <p id="d1e466">An additional set of 14 composite soil samples was collected by the International Center for Research in Agroforestry (ICRAF) at Liliyo from one sentinel site called “Petit-Bouaké” <xref ref-type="bibr" rid="bib1.bibx54" id="paren.26"/>. Sampling took place between 25 and 29 August 2015 at positions that were previously selected for the Land Degradation Surveillance Framework (LDSF) in a spatially stratified manner <xref ref-type="bibr" rid="bib1.bibx55" id="paren.27"/>. The soil samples received from ICRAF were within the same landscape as the sampled soils in Liliyo within YAMSYS but sampled from different positions. All soil samples were air-dried and stored in plastic bags until further analysis.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Soil reference analyses</title>
      <p id="d1e483">The air-dried soil samples were crushed and sieved at 2 mm. About 60 to 70 g of the sieved soil was oven-dried at 60<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 24 h, of which 20 g was ball-milled. All chemical analyses except soil pH were conducted both on the soils sampled in yam fields (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula>) and  the LDSF soils obtained from ICRAF (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e519">The milled soils were analyzed for total C and macronutrient (N and S) concentrations using an elemental analyzer (vario PYRO cube, Elementar Analysensysteme GmbH, Germany). For each of the four landscapes, two soils were selected and analyzed based on three analytical replicates for quantifying within-sample variance of the elemental analysis. For the remaining samples, the analysis was not repeated. Sulfanilamide was used as a calibration standard for the dry combustion. For pH determination, 10 g of air-dried soil per sample was placed in a 50 mL Falcon tube, and 20 mL of de-ionized water was added. The samples were shaken in a horizontal shaker for 1.5 h and measured for pH using a pH electrode (Benchtop pH/ISE meter model 720A, Orion Research Inc., USA).</p>
      <p id="d1e522">Bioavailable micronutrient (Fe, Mn, Zn, and Cu) concentrations in soils were determined with the diethylenetriaminepentaacetic acid (DTPA) extraction method, as described in <xref ref-type="bibr" rid="bib1.bibx32" id="text.28"/>. The extracting solution consisted of 0.0005 M DTPA, 0.01 M <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 0.1 M triethanolamine. Briefly, 10 g of the sieved (<inline-formula><mml:math id="M15" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 mm) soils was extracted with 20 mL of DTPA solution. Micronutrient concentrations in the filtrates were measured by inductively coupled plasma optical emission spectroscopy (ICP-OES; using a Shimadzu ICPE-9820 plasma atomic emission spectrometer). Final DTPA-extractable concentrations of Fe, Mn, Zn, and Cu were calculated back to per kilogram of dry soil.<?pagebreak page720?> For each landscape, two soils were selected and analyzed in triplicate to assess analytical errors. For the remaining soils the analysis was not repeated.</p>
      <p id="d1e546">For each sample, the concentrations of total elements (Fe, Si, Al, K, Ca, P, Zn, Cu, and Mn) in the soil were assessed by energy dispersive X-ray fluorescence spectrometry (ED-XRF) measurements on 4 g of the milled soil with a SPECTRO XEPOS instrument (SPECTRO Analytical Instruments GmbH, Germany). The soil was mixed with an equal amount of wax using a ball mill and pressed into pellets. Exchangeable cations (<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Al</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were determined with the <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> method <xref ref-type="bibr" rid="bib1.bibx21" id="paren.29"/>. About 2 g of the air-dried soil (<inline-formula><mml:math id="M22" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 mm) was extracted by shaking for 2 h with 30 mL of 0.1 M <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on a horizontal shaker (120 cycles min<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The suspension was filtered through no. 40 filter paper (Whatman, Brentford, UK). For each landscape, two soils were analyzed in analytical triplicate. The concentrations of exchangeable cations in the <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extract were measured by ICP-OES (using a Shimadzu ICPE-9820 plasma atomic emission spectrometer). Different <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extract dilutions were used in order to obtain an optimal signal intensity for the quantification of specific elements across all samples. Concentration of <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> per kilogram of dry soil was calculated based on the pH measured in the <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extractant. The <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extraction does only slightly modify pH and is therefore an appropriate method to calculate effective CEC (CEC<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula>) at native soil pH. Using the concentrations of the <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-extractable cations (i.e., <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Al</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), CEC<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> was calculated as the sum of exchangeable cations in centimoles (cmol) of cation charge per kilogram of dry soil. Exchangeable acidity was defined by the sum of exchangeable <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Al</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Base saturation in percent was calculated as a ratio of the sum of basic cations (<inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) in cmol(+) per kilogram of soil to the CEC<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> multiplied by 100.</p>
      <p id="d1e906">Particle size analysis was conducted by the International Institute of Tropical Agriculture (IITA) in Cameroon, as described in <xref ref-type="bibr" rid="bib1.bibx5" id="text.30"/>. Briefly, 50 g of dried 2 mm sieved soil was stirred with 50 mL 4 % sodium hexametaphosphate and 100 mL of deionized water in a mixer, to break down the aggregates into individual particles. Readings with a hydrometer (ASTM 152 H, Thermco, New Jersey, USA) were taken after letting it stand in the suspension for 30 min. The silt content was calculated by subtracting the measured proportion of sand and clay from 100 %.</p>
</sec>
<sec id="Ch1.S2.SSx1" specific-use="unnumbered">
  <title>Spectroscopic measurements</title>
      <p id="d1e918">The milled soils (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">94</mml:mn></mml:mrow></mml:math></inline-formula>) were measured on a Bruker ALPHA DRIFT spectrometer (Bruker Optics GmbH, Ettingen, Germany), which was equipped with a ZnSe optics device, a KBr beamsplitter, and a  DTGS (deuterated triglycine sulfate) detector. Mid-IR spectra were recorded between 4000  and 500 cm<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a spectral resolution of 4 cm<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and a sampling resolution of 2 cm<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.  Reflectance (<inline-formula><mml:math id="M50" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) spectra were transformed to apparent absorbance (<inline-formula><mml:math id="M51" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula>) using <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and corrected for atmospheric <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using macros within the OPUS spectrometer software (Bruker Corporation, US). The spectra were referenced to a IR-grade fine ground potassium bromide (<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">KBr</mml:mi></mml:mrow></mml:math></inline-formula>) powder spectrum, which was measured prior to the first soil sample and measured every hour again. All spectra were recorded by averaging 128 scans (internal measurements) to improve the signal-to-noise ratio for each of the three independent replicate samples of each soil.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Spectroscopic modeling</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Processing of soil spectra</title>
      <p id="d1e1043">Three replicates of spectra were averaged for each sample. The spectra were transformed by using a Savitzky–Golay-smoothed first derivative using a third-order polynomial and a window size of 21 points (42 cm<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at a spectrum interval of 2 cm<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx47" id="paren.31"/>. Prior to spectral modeling, Savitzky–Golay-preprocessed spectra were further mean-centered and scaled (divided by standard deviation) at each wavenumber.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Model development and validation</title>
      <p id="d1e1081">The measured soil properties were modeled by applying partial least squares regression (PLSR) <xref ref-type="bibr" rid="bib1.bibx59" id="paren.32"/> with the preprocessed spectra as predictors. The models were fitted using the orthogonal scores' PLSR algorithm. A 10-fold cross-validation, repeated five times, was performed to provide unbiased and precise assessment of PLSR model performance <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx30" id="paren.33"/>. For each individual soil property, the number of factors for the most accurate PLSR model was tuned separately. For each soil property model, the sample set was repeatedly randomly split into <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (approximately) equally sized subsets without replacement for all repeats <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> and all candidate values in the tuning grid with the number of PLSR factors (ncomp) <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>. Within each of the <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">ncomp</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> resampling data set splits, each of the 10 possible held-out and model fitting set combinations (folds) was subjected to candidate model building at the respective ncomp, using <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> out of 10 subsets, and remaining held-out samples were predicted based on the fitted models. The root mean square error (RMSE; Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) of the held-out samples was calculated by aggregating all repeated <italic>K</italic>-fold cross-validation predictions (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and corresponding observed values (<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) grouped by ncomp, which resulted in a cross-validated performance profile RMSE vs. ncomp.
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M64" display="block"><mml:mrow><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle></mml:msqrt></mml:mrow></mml:math></disp-formula></p>
      <?pagebreak page721?><p id="d1e1267">Based on this performance profile, the minimal ncomp among the models, whose performance was within a single standard error (“one standard error rule”; <xref ref-type="bibr" rid="bib1.bibx6" id="altparen.34"/>) of the lowest numerical value of RMSE, was selected.</p>
      <p id="d1e1273">Model assessment was done with the best factors for each property using cross-validation hold outs. We reported the cross-validated measures' RMSE, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (coefficient of determination) obtained via linear least squares regression, and ratio of performance to deviation (RPD), after averaging predictions across repeats. The RPD index is the ratio of the chemical reference data standard deviation (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to the RMSE of prediction.
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M67" display="block"><mml:mrow><mml:mi mathvariant="normal">RPD</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="normal">RMSE</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e1317">Besides calculating the above listed performance measures, the uncertainty of spectral estimates was graphically reported for each soil sample, using prediction means and 95 % confidence intervals derived from cross-validation repeats (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>; Eqs. <xref ref-type="disp-formula" rid="Ch1.E3"/> and <xref ref-type="disp-formula" rid="Ch1.E4"/>).

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M69" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msubsup><mml:mi>S</mml:mi><mml:mi>n</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mover accent="true"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>±</mml:mo><mml:mi>t</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:mfenced><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow><mml:msqrt><mml:mi>n</mml:mi></mml:msqrt></mml:mfrac></mml:mstyle><mml:mo>;</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e1474">To cover the full training data space in the models for future sample predictions, the final PLSR models were rebuilt using the entire training set and the respective values of the optimal final number of PLSR components determined by the procedure described above.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Model interpretation</title>
      <p id="d1e1485">The mid-IR spectra contain complex information about soil composition and properties. To establish a predictive relationship, statistical models need to find relevant spectral features for each soil property. Model interpretation requires a variable importance assessment to decide on the contribution of spectral variables to prediction and to explain spectral mechanisms. Therefore, we conducted model interpretation based on the variable importance in projection (VIP) method <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx9" id="paren.35"/>, using the model at the respective best number of factors (ncomp). The VIP measure <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated for each wavenumber variable <inline-formula><mml:math id="M71" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> as
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M72" display="block"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mi>p</mml:mi><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>A</mml:mi></mml:munderover><mml:mo mathsize="2.0em">[</mml:mo><mml:msub><mml:mi mathvariant="normal">SS</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo mathsize="1.5em">(</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mo>‖</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>‖</mml:mo><mml:msup><mml:mo mathsize="1.5em">)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo mathsize="2.0em">]</mml:mo><mml:mo mathsize="1.1em">/</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>A</mml:mi></mml:munderover><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">SS</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are the PLSR weights for the <inline-formula><mml:math id="M74" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>th component for each of the wavenumber variables, and SS<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mi>a</mml:mi></mml:msub></mml:math></inline-formula> is the sum of squares explained by the <inline-formula><mml:math id="M76" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>th component:
              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M77" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SS</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>q</mml:mi><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msubsup><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>T</mml:mi></mml:msubsup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>t</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the scores of the predicted variable <inline-formula><mml:math id="M79" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the scores of the predictors <inline-formula><mml:math id="M81" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>. These VIP scores account for multicollinearity found in spectra and are considered to be a robust measure to identify relevant predictors. Important wavenumbers were classified with a VIP score above 1. A variable with VIP above 1 contributes more than the average to the model prediction. For model interpretation, we only computed VIP at the respective finally chosen number of PLS (partial least squares) components <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">final</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for each considered model. We focused on a selection of three well-performing models with <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.8 (RPD <inline-formula><mml:math id="M85" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 2.3) to illustrate model interpretation. These were total C, total N, and clay content.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Statistical software</title>
      <p id="d1e1759">The entire analysis was performed using the R statistical computing language and environment (version 3.6.0) <xref ref-type="bibr" rid="bib1.bibx43" id="paren.36"/>. We used the pls <xref ref-type="bibr" rid="bib1.bibx36" id="paren.37"/> package for PLSR, as described by <xref ref-type="bibr" rid="bib1.bibx35" id="text.38"/>. Cross-validation resampling, model tuning, and assessment was done using the caret package <xref ref-type="bibr" rid="bib1.bibx31" id="paren.39"/>. Custom functions from the simplerspec package were used for spectroscopic modeling <xref ref-type="bibr" rid="bib1.bibx3" id="paren.40"/>. All data and code to reproduce the results of this study are available online via Zenodo <xref ref-type="bibr" rid="bib1.bibx4" id="paren.41"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SSx1" specific-use="unnumbered">
  <title>Measured properties and mid-IR estimates of yam soils</title>
      <?pagebreak page722?><p id="d1e1795">The distribution of soil properties of the yam fields showed a wide variation across the landscapes (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Total C concentrations across all fields ranged from 2.4  to 24.7 g C kg<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Total C values at the landscape scale were the lowest (median) in Léo and the highest in Tiéningboué. Soils from yam fields in the two landscapes from Côte d’Ivoire (13.0 <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.4 g C kg<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; mean <inline-formula><mml:math id="M89" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation) had relatively higher total C compared with the fields in the landscapes in Burkina Faso (6.1 <inline-formula><mml:math id="M90" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6 g C kg<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The median value and variation of CEC<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> exhibited similar patterns across the landscapes to total C.  Total N concentrations across all fields ranged from 0.18  to 2.48 g N kg<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Total N within and across the four landscapes exhibited a similar pattern to total C. Generally, the landscapes in Burkina Faso were low in total N compared to those from Côte d’Ivoire (0.44 <inline-formula><mml:math id="M94" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24 g N kg<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 1.09 <inline-formula><mml:math id="M96" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.46 g N kg<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Median total N concentrations were almost identical for Liliyo and Tiéningboué, with 1.1 g N kg<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Total S concentrations varied between 41 and 242 mg S kg<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> across all fields and showed a similar pattern to total C and N. The yam fields in the landscapes of Burkina Faso had on average more than 2 times higher total S than the other landscapes. Total P concentrations were in a similar range for the landscapes Léo, Midebdo, and Liliyo. In Tiéningboué, total P values were almost 2 times higher than the other fields (817 mg S kg<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 453 mg P kg<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), with more within-landscape variation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1968">Reference measurements of soil chemical properties. Léo and Midebdo are two yam-growing landscapes in Burkina Faso, and Liliyo and Tiéningboué are in Côte d'Ivoire. The chemically analyzed soils (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">94</mml:mn></mml:mrow></mml:math></inline-formula>) originated from 20 yam fields per landscape and 14 additional soils from the Liliyo region were provided by the World Agroforestry Center (ICRAF). C is carbon, N is nitrogen, P is phosphorus, Fe is iron, Al is aluminum, Si is silicon, Ca is calcium, Zn is zinc, Cu is copper, K is potassium, and Mn is manganese. Bioavailable micronutrients were measured by the diethylenetriaminepentaacetic acid (DTPA) extraction method. Ca(exch.), Mg(exch.), K(exch.), and Al(exch.) signify exchangeable elements determined with <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extraction. CEC<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> is the effective cation exchange capacity, and BS<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> is the effective base saturation. The number of soils analyzed for each individual property is indicated above the 75 % percentile.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021-f01.png"/>

        </fig>

      <p id="d1e2018">The concentrations of total Fe, total Al, total Ca, total Zn, and total Cu in the soil tended to be higher for the landscapes in Côte d’Ivoire than in Burkina Faso (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). To give an example, median concentrations of total Ca were 2.16 g Ca kg<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in fields sampled from the Tiéningboué region and similar in Liliyo (i.e., 1.90 g Ca kg<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), while they were markedly lower in Léo and Midebdo (i.e., 0.90 vs. 1.26 g Ca kg<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). In general, the ranges for total micronutrient contents were more variable in the landscapes of Côte d’Ivoire (e.g., range <inline-formula><mml:math id="M109" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14.0–57.0 mg Zn kg<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in Liliyo; lowest range in Léo <inline-formula><mml:math id="M111" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 12.2–19.7 mg Zn kg<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Total K concentration was highly variable within and across the landscapes (overall range <inline-formula><mml:math id="M113" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.5–34.1 g K kg<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and lowest in Midebdo (range <inline-formula><mml:math id="M115" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.9–8.9 g K kg<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), while the highest total K median was measured in yam fields of Léo (range <inline-formula><mml:math id="M117" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.1–25.0 g K kg<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
      <p id="d1e2156">Median extractable Fe and its interquartile ranges were comparable across the landscapes (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>). However, there were some fields where extractable Fe reached values higher than 100 mg Fe kg<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Median extractable Zn values showed a similar pattern to total C, with the highest median values and interquartile range in Tiéningboué, and had the lowest in Léo. In comparison, the highest median values and interquartile range of extractable Cu and Mn were found in Liliyo. For extractable Zn, Cu, and Mn, median values and interquartile range were higher in the two landscapes in Côte d’Ivoire than the two landscapes in Burkina Faso.</p>
      <p id="d1e2174">Across all samples and landscapes, soil pH varied between 4.7 and 8.4. Median pH was comparable in Tiéningboué (i.e., 6.4), Liliyo (i.e., 6.5), and Midebdo (i.e., 6.5). Median pH of yam fields in Léo (i.e., 6.0) was lower than in the other landscapes. Exchangeable K, Ca, and Mg concentrations showed similar patterns across the four landscapes. In Burkina Faso, each of the exchangeable cations showed relatively low median concentrations across the fields and less landscape-level variation than in Côte d’Ivoire. In general, the highest median and variation of exchangeable cations among the landscapes were measured in the yam field soils of Tiéningboué. Median exchangeable Al values were comparable among the landscapes, although there were some outliers with exchangeable Al <inline-formula><mml:math id="M120" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 20 mg kg<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for Midebdo, Liliyo, and Tiéningboué. The CEC<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> ranged from 0.9  to 14.6 cmol(<inline-formula><mml:math id="M123" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) kg<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> across all fields and landscapes. Median CEC<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> tended to decrease in the following order across landscapes: Léo <inline-formula><mml:math id="M126" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Midebdo <inline-formula><mml:math id="M127" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Liliyo <inline-formula><mml:math id="M128" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Tiéningboué. The interquartile range of CEC<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> was also the greatest in Tiéningboué and the smallest in Léo.</p>
      <p id="d1e2264">Reference measurements for total N, S, exchangeable Ca, exchangeable Mg, and CEC<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> were closely correlated with total C (Fig. <xref ref-type="fig" rid="Ch1.F2"/>; <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.71</mml:mn><mml:mo>≤</mml:mo><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn></mml:mrow></mml:math></inline-formula>  (CEC<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula>)).  Also, total Ca, Al, and clay content correlated closely with total C (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.70</mml:mn></mml:mrow></mml:math></inline-formula>). Clay contents were weakly related to silt (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula>), while sand had a markedly negative relationship with silt (<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula>). Bioavailable Zn (DTPA) was covarying with both CEC<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula>) and total Zn (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn></mml:mrow></mml:math></inline-formula>). Bioavailable Cu (DTPA) had a strongly positive association to total Cu (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.90</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Exchangeable K (<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) had the strongest relationship with total C and CEC<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2448">Correlation matrix of soil properties measured on each of the 20 soils sampled from individual yam fields per landscape and 14 additional agricultural soils received from the World Agroforestry Center (<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">94</mml:mn></mml:mrow></mml:math></inline-formula>; see Fig. <xref ref-type="fig" rid="Ch1.F1"/> for further details and abbreviated chemical properties). Pearson correlation coefficients (<inline-formula><mml:math id="M145" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) were rounded to one decimal point.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Soil mid-IR spectroscopic models</title>
      <p id="d1e2486">Among the measured soil properties, mid-IR PLSR models for total K (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>) and total Al (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula>) performed the best (Table <xref ref-type="table" rid="Ch1.T1"/>). Out of a total of 27 soil attributes, 11 were well quantified by the models (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">cv</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mi mathvariant="italic">⩾</mml:mi><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="Ch1.F3"/>). The confidence intervals derived from cross-validation prediction were very narrow, showing that all PLSR models were stable. Within this group of stable models, four soil attributes are directly related to the mineralogy (total Fe, Al, K, and Ca), three are related to soil organic matter (total C, N, and S), one is related to texture (clay fraction), one is related to plant nutrition (exchangeable Fe), and two are related to mineralogy and plant nutrition (exchangeable Ca and CEC<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula>).  More specifically, total C was accurately predicted, with an <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.92 and a RMSE of 1.6 g C kg<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The models were also able to predict total N well (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula>; RMSE <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.16 g N kg<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Prediction accuracy of total S was slightly lower than for total C, but its goodness-of-fit and RMSE suggest that the model was reliable for prediction. However, exchangeable K (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula>) and BS<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula>) were poorly predicted (Table <xref ref-type="table" rid="Ch1.T1"/>). Predictions for percent clay were reliable (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula> %), whereas predictions for percent sand (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.1</mml:mn></mml:mrow></mml:math></inline-formula> %) and percent silt (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn></mml:mrow></mml:math></inline-formula> %) were not accurate. Finally, chosen models of all soil attributes had between one and nine PLSR components.</p>

<?xmltex \floatpos{h!}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2734">Descriptive summary of measured (meas.) soil reference data (see  Fig. <xref ref-type="fig" rid="Ch1.F1"/>) and evaluation results of cross-validated PLSR models. All samples across the four landscapes were aggregated into a single model per respective soil property. Model evaluation was done on held-out predictions of 10-fold cross-validation (cv) repeated five times at the finally selected number of PLSR components (ncomp). CV is the coefficient of variation, RMSE is the root mean square error, and RPD is the ratio of performance to deviation. C is carbon, N is nitrogen, P is phosphorus, Fe is iron, Al is aluminum, Si is silicon, Ca is calcium, Zn is zinc, Cu is copper, K is potassium, and Mn is manganese. Bioavailable micronutrients were measured by diethylenetriaminepentaacetic acid (DTPA) extraction. Ca(exch.), Mg(exch.), K(exch.), and Al(exch.) signify exchangeable elements determined with <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extraction. CEC<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> is the effective cation exchange capacity, and BS<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> is the effective base saturation.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Soil attribute</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M167" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Min<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">meas</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Max<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">meas</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Med<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">meas</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Mean<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">meas</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">CV<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">meas</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">ncomp</oasis:entry>
         <oasis:entry colname="col9">RMSE<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cv</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">cv</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11">RPD<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">cv</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Total C [g kg<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">2.4</oasis:entry>
         <oasis:entry colname="col4">24.7</oasis:entry>
         <oasis:entry colname="col5">8.5</oasis:entry>
         <oasis:entry colname="col6">9.9</oasis:entry>
         <oasis:entry colname="col7">58</oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">1.6</oasis:entry>
         <oasis:entry colname="col10">0.92</oasis:entry>
         <oasis:entry colname="col11">3.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total N [g kg<inline-formula><mml:math id="M177" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">0.18</oasis:entry>
         <oasis:entry colname="col4">2.48</oasis:entry>
         <oasis:entry colname="col5">0.72</oasis:entry>
         <oasis:entry colname="col6">0.81</oasis:entry>
         <oasis:entry colname="col7">61</oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">0.16</oasis:entry>
         <oasis:entry colname="col10">0.89</oasis:entry>
         <oasis:entry colname="col11">3.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total S [mg kg<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">242</oasis:entry>
         <oasis:entry colname="col5">99</oasis:entry>
         <oasis:entry colname="col6">111</oasis:entry>
         <oasis:entry colname="col7">46</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">20</oasis:entry>
         <oasis:entry colname="col10">0.85</oasis:entry>
         <oasis:entry colname="col11">2.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sand [%]</oasis:entry>
         <oasis:entry colname="col2">80</oasis:entry>
         <oasis:entry colname="col3">29.8</oasis:entry>
         <oasis:entry colname="col4">91.6</oasis:entry>
         <oasis:entry colname="col5">75.6</oasis:entry>
         <oasis:entry colname="col6">74.2</oasis:entry>
         <oasis:entry colname="col7">14</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">8.1</oasis:entry>
         <oasis:entry colname="col10">0.42</oasis:entry>
         <oasis:entry colname="col11">1.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Silt [%]</oasis:entry>
         <oasis:entry colname="col2">80</oasis:entry>
         <oasis:entry colname="col3">3.9</oasis:entry>
         <oasis:entry colname="col4">54.1</oasis:entry>
         <oasis:entry colname="col5">12.0</oasis:entry>
         <oasis:entry colname="col6">14.1</oasis:entry>
         <oasis:entry colname="col7">60</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">6.5</oasis:entry>
         <oasis:entry colname="col10">0.41</oasis:entry>
         <oasis:entry colname="col11">1.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Clay [%]</oasis:entry>
         <oasis:entry colname="col2">80</oasis:entry>
         <oasis:entry colname="col3">4.5</oasis:entry>
         <oasis:entry colname="col4">26.1</oasis:entry>
         <oasis:entry colname="col5">10.1</oasis:entry>
         <oasis:entry colname="col6">11.6</oasis:entry>
         <oasis:entry colname="col7">42</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">2.1</oasis:entry>
         <oasis:entry colname="col10">0.81</oasis:entry>
         <oasis:entry colname="col11">2.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total P [mg kg<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">240</oasis:entry>
         <oasis:entry colname="col4">1631</oasis:entry>
         <oasis:entry colname="col5">467</oasis:entry>
         <oasis:entry colname="col6">530</oasis:entry>
         <oasis:entry colname="col7">40</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">131</oasis:entry>
         <oasis:entry colname="col10">0.61</oasis:entry>
         <oasis:entry colname="col11">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Fe [g kg<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">35</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">12</oasis:entry>
         <oasis:entry colname="col7">54</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">3</oasis:entry>
         <oasis:entry colname="col10">0.81</oasis:entry>
         <oasis:entry colname="col11">2.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Al [g kg<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">10</oasis:entry>
         <oasis:entry colname="col4">102</oasis:entry>
         <oasis:entry colname="col5">48</oasis:entry>
         <oasis:entry colname="col6">53</oasis:entry>
         <oasis:entry colname="col7">42</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">4</oasis:entry>
         <oasis:entry colname="col10">0.97</oasis:entry>
         <oasis:entry colname="col11">6.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Si [g kg<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">200</oasis:entry>
         <oasis:entry colname="col4">363</oasis:entry>
         <oasis:entry colname="col5">262</oasis:entry>
         <oasis:entry colname="col6">262</oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">20</oasis:entry>
         <oasis:entry colname="col10">0.59</oasis:entry>
         <oasis:entry colname="col11">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Ca [g kg<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">0.3</oasis:entry>
         <oasis:entry colname="col4">7.6</oasis:entry>
         <oasis:entry colname="col5">1.4</oasis:entry>
         <oasis:entry colname="col6">1.9</oasis:entry>
         <oasis:entry colname="col7">70</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">0.6</oasis:entry>
         <oasis:entry colname="col10">0.78</oasis:entry>
         <oasis:entry colname="col11">2.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Zn [mg kg<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">9.5</oasis:entry>
         <oasis:entry colname="col4">71.6</oasis:entry>
         <oasis:entry colname="col5">19.1</oasis:entry>
         <oasis:entry colname="col6">22.6</oasis:entry>
         <oasis:entry colname="col7">49</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">6.7</oasis:entry>
         <oasis:entry colname="col10">0.63</oasis:entry>
         <oasis:entry colname="col11">1.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Cu [mg kg<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">0.5</oasis:entry>
         <oasis:entry colname="col4">29.2</oasis:entry>
         <oasis:entry colname="col5">4.7</oasis:entry>
         <oasis:entry colname="col6">6.8</oasis:entry>
         <oasis:entry colname="col7">87</oasis:entry>
         <oasis:entry colname="col8">7</oasis:entry>
         <oasis:entry colname="col9">3.2</oasis:entry>
         <oasis:entry colname="col10">0.71</oasis:entry>
         <oasis:entry colname="col11">1.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total K [g kg<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">0.5</oasis:entry>
         <oasis:entry colname="col4">34.1</oasis:entry>
         <oasis:entry colname="col5">5.8</oasis:entry>
         <oasis:entry colname="col6">9.5</oasis:entry>
         <oasis:entry colname="col7">91</oasis:entry>
         <oasis:entry colname="col8">7</oasis:entry>
         <oasis:entry colname="col9">1.7</oasis:entry>
         <oasis:entry colname="col10">0.96</oasis:entry>
         <oasis:entry colname="col11">5.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total Mn [mg kg<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">59.2</oasis:entry>
         <oasis:entry colname="col4">1146.0</oasis:entry>
         <oasis:entry colname="col5">221.5</oasis:entry>
         <oasis:entry colname="col6">308.0</oasis:entry>
         <oasis:entry colname="col7">74</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">116.4</oasis:entry>
         <oasis:entry colname="col10">0.74</oasis:entry>
         <oasis:entry colname="col11">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">log(Fe(DTPA)) [mg kg<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">92</oasis:entry>
         <oasis:entry colname="col3">1.0</oasis:entry>
         <oasis:entry colname="col4">6.7</oasis:entry>
         <oasis:entry colname="col5">2.7</oasis:entry>
         <oasis:entry colname="col6">2.9</oasis:entry>
         <oasis:entry colname="col7">38</oasis:entry>
         <oasis:entry colname="col8">9</oasis:entry>
         <oasis:entry colname="col9">0.5</oasis:entry>
         <oasis:entry colname="col10">0.77</oasis:entry>
         <oasis:entry colname="col11">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zn (DTPA) [mg kg<inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">87</oasis:entry>
         <oasis:entry colname="col3">0.2</oasis:entry>
         <oasis:entry colname="col4">11.5</oasis:entry>
         <oasis:entry colname="col5">1.9</oasis:entry>
         <oasis:entry colname="col6">2.8</oasis:entry>
         <oasis:entry colname="col7">89</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">2.1</oasis:entry>
         <oasis:entry colname="col10">0.25</oasis:entry>
         <oasis:entry colname="col11">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cu (DTPA) [mg kg<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">92</oasis:entry>
         <oasis:entry colname="col3">0.1</oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
         <oasis:entry colname="col5">0.2</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
         <oasis:entry colname="col7">89</oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">0.2</oasis:entry>
         <oasis:entry colname="col10">0.74</oasis:entry>
         <oasis:entry colname="col11">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mn (DTPA) [mg kg<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">92</oasis:entry>
         <oasis:entry colname="col3">2.5</oasis:entry>
         <oasis:entry colname="col4">31.4</oasis:entry>
         <oasis:entry colname="col5">6.5</oasis:entry>
         <oasis:entry colname="col6">8.6</oasis:entry>
         <oasis:entry colname="col7">69</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">4.0</oasis:entry>
         <oasis:entry colname="col10">0.55</oasis:entry>
         <oasis:entry colname="col11">1.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">pH<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">80</oasis:entry>
         <oasis:entry colname="col3">4.7</oasis:entry>
         <oasis:entry colname="col4">8.4</oasis:entry>
         <oasis:entry colname="col5">6.4</oasis:entry>
         <oasis:entry colname="col6">6.4</oasis:entry>
         <oasis:entry colname="col7">11</oasis:entry>
         <oasis:entry colname="col8">8</oasis:entry>
         <oasis:entry colname="col9">0.5</oasis:entry>
         <oasis:entry colname="col10">0.61</oasis:entry>
         <oasis:entry colname="col11">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ca (exch.) [mg kg<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">92</oasis:entry>
         <oasis:entry colname="col3">98</oasis:entry>
         <oasis:entry colname="col4">2170</oasis:entry>
         <oasis:entry colname="col5">604</oasis:entry>
         <oasis:entry colname="col6">774</oasis:entry>
         <oasis:entry colname="col7">70</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">237</oasis:entry>
         <oasis:entry colname="col10">0.81</oasis:entry>
         <oasis:entry colname="col11">2.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mg (exch.) [mg kg<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">93</oasis:entry>
         <oasis:entry colname="col3">18</oasis:entry>
         <oasis:entry colname="col4">432</oasis:entry>
         <oasis:entry colname="col5">76</oasis:entry>
         <oasis:entry colname="col6">113</oasis:entry>
         <oasis:entry colname="col7">84</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">58</oasis:entry>
         <oasis:entry colname="col10">0.62</oasis:entry>
         <oasis:entry colname="col11">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">K (exch.) [mg kg<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">868</oasis:entry>
         <oasis:entry colname="col5">104</oasis:entry>
         <oasis:entry colname="col6">145</oasis:entry>
         <oasis:entry colname="col7">95</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">120</oasis:entry>
         <oasis:entry colname="col10">0.28</oasis:entry>
         <oasis:entry colname="col11">1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Al (exch.) [mg kg<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">94</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">47</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">4</oasis:entry>
         <oasis:entry colname="col7">258</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">9</oasis:entry>
         <oasis:entry colname="col10">0.21</oasis:entry>
         <oasis:entry colname="col11">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CEC<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> [cmol(+) kg<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">91</oasis:entry>
         <oasis:entry colname="col3">0.9</oasis:entry>
         <oasis:entry colname="col4">14.6</oasis:entry>
         <oasis:entry colname="col5">4.2</oasis:entry>
         <oasis:entry colname="col6">5.3</oasis:entry>
         <oasis:entry colname="col7">67</oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">1.4</oasis:entry>
         <oasis:entry colname="col10">0.84</oasis:entry>
         <oasis:entry colname="col11">2.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BS<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> [%]</oasis:entry>
         <oasis:entry colname="col2">91</oasis:entry>
         <oasis:entry colname="col3">79</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">100</oasis:entry>
         <oasis:entry colname="col6">98</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">3</oasis:entry>
         <oasis:entry colname="col10">0.24</oasis:entry>
         <oasis:entry colname="col11">1.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e4179">Cross-validated predictions of soil properties derived from best mid-infrared (mid-IR) partial least squares regression (PLSR) models vs. laboratory reference measurements (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Average estimates, their confidence intervals (error bars), and evaluation metrics were derived with 10-fold cross-validation repeated five times. “ncomp” is the number of PLSR components of most accurate final models, RSME is the root mean square error, and RPD is the ratio of performance to deviation. Only soil properties modeled with <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula> are shown. CEC<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula> is the effective cation exchange capacity. Exchangeable (exch.) elements were determined with <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BaCl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Bioavailable Fe was determined via diethylenetriaminepentaacetic acid (DTPA) extraction.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021-f03.png"/>

        </fig>

<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Model interpretation</title>
      <p id="d1e4233">A large proportion of absorptions had <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi mathvariant="normal">VIP</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> for each of the total C, total N, and clay models (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Important wavenumbers (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="normal">VIP</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) for total C were mostly between 3140  and 1230 cm<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Besides clear absorption peaks, there were relatively continuous spectral features that were important to the models. For example, the relatively continuous and smooth spectral region between the alkyl <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> vibrations at 2855  and 2362 cm<inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> had a comparable contribution to the model as peak regions associated with total C prediction. The VIP patterns across wavenumbers were almost identical for total C and N models, and its reference measurements were strongly correlated (<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.94</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="Ch1.F2"/>). In contrast, the clay content model deviated from the total C model in particular regions, for example around the kaolinite <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula> feature at 3620 cm<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or at kaolinite <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Al</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">O</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> vibrations at 934  and 914 cm<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e4366">Variable importance analysis of partial least squares regression (PLSR) models for the concentrations of total soil C and total N and clay content, including overlaid raw and preprocessed spectra. The top panel shows resampled mean sample absorbance spectra (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">94</mml:mn></mml:mrow></mml:math></inline-formula>). Prominent peaks were identified as local maxima with a span of 10 points 20 cm<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the selected wavenumbers. Fundamental mid-IR vibrations that are well described in the literature <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx45 bib1.bibx52" id="paren.42"><named-content content-type="pre">e.g.,</named-content></xref> were added as labels when identified peaks matched literature assignments. (<inline-formula><mml:math id="M215" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>) stands for quartz and (<inline-formula><mml:math id="M216" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula>) for kaolinite. The middle panel depicts preprocessed spectra (Savitzky–Golay first derivative with a window size of 21 points (42 cm<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>); third-order polynomial fit). The bottom panel shows variable importance in the projection (VIP) for three selected well-performing PLSR models (total C, total N and clay; <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>). The horizontal black line at <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mi mathvariant="normal">VIP</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> indicates the threshold above which absorbance at a given wavenumber contributes more than the average (wavenumber) to the spectral variance explained of a certain soil property. Dashed points closely below the <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> line of the VIP graph visualize positive (above <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and negative (below <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) PLSR <inline-formula><mml:math id="M223" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> coefficients.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://soil.copernicus.org/articles/7/717/2021/soil-7-717-2021-f04.png"/>

          </fig>

</sec>
</sec>
</sec>
<?pagebreak page723?><sec id="Ch1.Sx1" specific-use="unnumbered">
  <title>Discussion</title>
<sec id="Ch1.Sx1.SS2">
  <label>3.2</label><title>Accuracy and relevance of mid-IR spectroscopy for agronomic diagnostics</title>
      <p id="d1e4517">Timely and accurate estimates of multiple soil properties are required to better understand and predict soil constraints across the yam belt in West Africa. The soil spectral library from our study, which includes four landscapes of the yam belt, can be practical to diagnose and monitor (and eventually manage) soil fertility that is considered to be low and therefore is a major constraint to yam production in West Africa. Specifically, our results show that properties closely related to organic matter – total amount of C, (micro)nutrients, and exchangeable cations – can be accurately estimated using mid-IR spectra and in the selected yam-growing landscapes (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Soil organic matter plays a crucial role during vegetative growth and tuber formation phases of yam, as it guarantees among many other functions the storage and<?pagebreak page724?> availability of essential nutrients and water needed for yam and tuber growth throughout the season and prevents soil erosion as well due to its structural stabilization capacity. It promotes soil aggregation, which stabilizes soil organic matter and protects it from microbial decomposition <xref ref-type="bibr" rid="bib1.bibx49" id="paren.43"/>.</p>
      <p id="d1e4525">Fertilizers are becoming more essential to replenish mineral nutrients for prolonged cropping.  Nevertheless, soil organic matter is at high risk of depletion in these regions because of the increasing land use frequencies and shorter fallows to restore the soil organic C pools. While it is pivotal to develop innovative crop and soil management solutions to this problem <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx19 bib1.bibx29" id="paren.44"/>, it is also crucial to perform a separate but complementary activity to give feedback on potential soil changes: developing and applying soil conventional and proximal sensing methods. When testing sustainable soil and crop management options, for example to derive region-specific and farm-adapted nutrient management strategies, putting both validated quantitative statements on the status of soil organic carbon and local farmers' soil knowledge into the equation is crucial <xref ref-type="bibr" rid="bib1.bibx58" id="paren.45"/>. Inevitably, both determining the inherent soil status (i.e., soil texture and organic carbon) and measuring the chemical and physical environment that regulates nutrient availability at trial sites (e.g., pH) is of agronomic and environmental importance <xref ref-type="bibr" rid="bib1.bibx18" id="paren.46"/>. Maintaining and improving soil quality attributes will be paramount to sustaining soils' ecosystem functions and crop yields over time. Activities to maintain and improve soil properties can for example be oriented towards fostering nutrient recycling.</p>
      <p id="d1e4537">Quick and reasonably accurate soil estimates derived from mid-IR spectra and empiric models as for example outlined<?pagebreak page725?> in this study can inform the site-adapted timing, placing, and form of nutrient supply based on local soil conditions. To give a specific example, yam requires relatively large quantities of N and K <xref ref-type="bibr" rid="bib1.bibx39" id="paren.47"><named-content content-type="pre">e.g.,</named-content></xref>; on light-textured soils, yam can attain high tuber yields but at a high risk of losing large proportions of applied N and K to the environment <xref ref-type="bibr" rid="bib1.bibx14" id="paren.48"><named-content content-type="pre">e.g.,</named-content></xref>. Therefore, spectral estimates of texture can give an indication that applying larger amounts of N and K at once would not improve yield potential under such situations. Hence, more frequent and local mineral applications of these nutrients after crop emergence, eventually combined with organic mulch, could improve the fertilizer efficiency and mitigate negative environmental impacts under these soil conditions. To estimate the availability of specific (micro)nutrients, however, more efforts need to be made to measure them at fine temporal and spatial resolution.</p>
      <?pagebreak page726?><p id="d1e4550">The mid-IR model accurately estimated C (RMSE <inline-formula><mml:math id="M224" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.6 g kg<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Table <xref ref-type="table" rid="Ch1.T1"/>; Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Mostly, only field-scale spectroscopic models achieve such accuracy <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx20" id="paren.49"/>, whereas the predictive accuracy reported for larger scale application of spectroscopic models is lower than for our model <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx52 bib1.bibx48" id="paren.50"/>. Models covering a wide geographical range of soils often result in high prediction errors <xref ref-type="bibr" rid="bib1.bibx51" id="paren.51"/>. Despite different soil types and climate regimes across a wide geographic spacing between the calibration fields, we achieved an accurate spectroscopic estimation of total C. The model was also able to reliably estimate a range of other important soil properties than total C. Specifically, other soil variables eligible for a mid-IR quantification include total N, total S, total Ca, total K, total Al, exchangeable Ca, Fe DTPA, CEC<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula>, and clay content (<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>). The close correlations of total C with N, S, exchangeable Ca, exchangeable Mg, CEC<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula>, total Ca, Al, and clay content (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) are consistent with <xref ref-type="bibr" rid="bib1.bibx26" id="text.52"/>, who reported very similar associations of clay content and exchangeable cations (Ca, Mg, K) as well as CEC<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">eff</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> in soils from rice fields (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.54</mml:mn><mml:mo>≤</mml:mo><mml:mi>r</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.65</mml:mn></mml:mrow></mml:math></inline-formula>) – nevertheless they spectrally modeled a considerable soil variability (20 countries in sub-Saharan Africa; 42 study sites) and a larger sample size (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">285</mml:mn></mml:mrow></mml:math></inline-formula>) using PLS regression. At the same time, the measured range and the error in spectral estimates of CEC  were larger compared to ours (RMSE <inline-formula><mml:math id="M232" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.7 cmol(<inline-formula><mml:math id="M233" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) kg<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 1.4 cmol(<inline-formula><mml:math id="M235" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) kg<inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; range <inline-formula><mml:math id="M237" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.9–66.5 cmol(<inline-formula><mml:math id="M238" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) kg<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 0.9–14.6 cmol(<inline-formula><mml:math id="M240" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>) kg). Even though total K and Fe(DTPA) were poorly correlated with total C, their spectroscopic estimates were relatively accurate. This suggests that the mid-IR prediction of other soil properties is largely based on their correlation with total C as well as other absorption features of many organic and mineral soil components having a specific IR adsorption.</p>
      <p id="d1e4752">We also found reasonable prediction accuracy for Cu(DTPA) (<inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula>) and Mn(DTPA) (<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula>), although soil nutrients that are extraction-based or dependent on surface chemistry usually have variable predictive performance <xref ref-type="bibr" rid="bib1.bibx25" id="paren.53"/>. Since relationships between soil composition and soil matrix exchange processes are typically complex, some properties may not be represented in the models in a straightforward manner <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx38" id="paren.54"/>.</p>
      <p id="d1e4791">Although total elements are not necessarily a direct proxy for plant-available nutrients – with the exception of total C from organic matter – they can be related to mineralogical status, which is influenced by weathering and nutrient supply.  For example, total Fe from iron oxides can be important in controlling the availability of P <xref ref-type="bibr" rid="bib1.bibx42" id="paren.55"/>, and total P can be correlated to available P in other cases. For yam – which is an understudied crop with a relatively large yield gap – fertilizer response to N, P, and K is often absent on soils that have been under long fallow periods <xref ref-type="bibr" rid="bib1.bibx39" id="paren.56"/>. Even more importantly, the number of thoroughly conduced yam fertilizer trials in a region and for distinct soil types is often not sufficient for the site-specific calibration of soil tests with regard to fertilizer response and recommendations <xref ref-type="bibr" rid="bib1.bibx40" id="paren.57"/>.</p>
</sec>
<?pagebreak page727?><sec id="Ch1.Sx1.SS3">
  <label>3.3</label><title>Interpretation of spectral features</title>
      <p id="d1e4811">All mid-IR spectra that we measured for soils in the four landscapes exhibited a similar pattern of absorbance (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). The <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Si</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> absorptions in quartz at 1080, 800–780, and 700 cm<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were a prominent feature in the spectra due to relatively high sand contents across the landscapes (range 30 % to 92 %, median 76 %). Our spectra further had hydroxyl (OH) absorptions, which are typical for kaolin minerals, at 3695 cm<inline-formula><mml:math id="M245" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (surface OH), 3620 cm<inline-formula><mml:math id="M246" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (inner OH), 914 cm<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (inner OH), and 936 cm<inline-formula><mml:math id="M248" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (surface OH) <xref ref-type="bibr" rid="bib1.bibx34" id="paren.58"/>. The spectral pattern between the hydroxyl bands at 3695 and 3620 cm<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was relatively consistent, and the intensity ratio of these flanking peaks was close to 1. This is typical for halloysite (0.8–0.9), while the ratio for kaolinite is often higher (1.2–1.5) and dickite lower (0.6–0.8) <xref ref-type="bibr" rid="bib1.bibx33" id="paren.59"/>. The two weak intermediary stretching absorptions at around 3657 and 3670 cm<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> indicate surface hydroxyls. Together with the absorption at 936 cm<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the spectra would suggest the presence of rather well-ordered prismatic halloysite <xref ref-type="bibr" rid="bib1.bibx23" id="paren.60"/>. This aligns well with the spectral patterns of soils that were assigned to the Halloysite archetype through similarity mapping (by comparison to the pure mineral spectra) by <xref ref-type="bibr" rid="bib1.bibx48" id="text.61"/>. Our spectra confirm the presence of kaolin minerals, which reflects the advanced state of mineral weathering in these tropical soil types.</p>
      <p id="d1e4942">Our accurate predictions, which are comparable to field-scale calibrations, are most likely because of the relatively uniform mid-IR spectra we obtained from our samples and their linear relationships to some of the key properties. This suggests a relatively homogeneous soil chemical composition, particularly with regard to the mineralogy of the sampled soils. Still, the data set presented here is relatively small, and no randomized spatial sampling strategy was used for selecting field locations. Therefore, we propose the implementation of a spectroscopy-driven approach to diagnose soils in more yam-growing areas, as an effort to broaden the library to achieve better spatial coverage of soil variability.</p>
</sec>
</sec>
<?pagebreak page728?><sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e4955">We developed models with mid-IR spectra to estimate soil chemical and physical properties relevant to the production of yam and other staple crops in four landscapes in the yam belt of West Africa. We tested the models for the important soil properties that are applied widely for agronomic performance evaluation. We showed that mid-IR spectroscopy models have the potential for the cost-effective and rapid determination of the distribution and variability of important soil properties across highly variable yam production landscapes in West Africa. Specifically, total C, total N, total S, total Fe, total Al, total K, total Ca, exchangeable Ca, CEC<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:math></inline-formula>, bioavailable Fe, and clay content can be quantified with <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mi mathvariant="normal">RPD</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula> when aiming to predict in the range of soil property values found in the environmental conditions covered by this study. We achieved spectral estimates with quite small uncertainties that are typically reported for libraries at the geographical extent of a field or farm. The correlation analysis of measured values together with spectral inference helps improve our understanding of how soil properties are interrelated with soil functional composition. This study delivered parsimonious, unbiased, and accurate mid-IR spectroscopy-based models to monitor and predict soil quality and to manage crop nutrition. Hence, we envision this pilot study as being a starting point to continuously update and adapt the mid-IR model library for more efficient site-specific and agronomically relevant soil estimates in the West African yam belt.  This can create a better capacity to diagnose and monitor soils in the long term compared with traditional wet chemistry and will hopefully ameliorate the soil conditions for sustainably meeting the demand of yam and other important staple crops in the regions.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e4998">All data and code to reproduce the results of this publication are publicly available under GNU General Public License v3.0 and can be accessed via the Zenodo archive and the corresponding GitHub public repository <xref ref-type="bibr" rid="bib1.bibx4" id="paren.62"><named-content content-type="pre"><ext-link xlink:href="https://doi.org/10.5281/zenodo.4358606" ext-link-type="DOI">10.5281/zenodo.4358606</ext-link>,</named-content></xref>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5011">PB carried out the research and analysis (soil sampling, sample preparation, soil chemical analysis, infrared spectroscopy, statistical modeling) under continuous support of the YAMSYS project team and took the lead in writing the manuscript. All co-authors helped to improve the manuscript. JS, JL, and EF framed the idea of delivering validated models for soil properties relevant for yam growth in the four pilot regions in Burkina Faso and Côte d’Ivoire. VKH and DIK contributed to the selection of representative yam fields that were sampled for our work.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5017">The authors declare that they have no conflict of interest.</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e5024">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e5030">This article is part of the special issue “Tropical biogeochemistry of soils in the Congo Basin and the African Great Lakes region”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5036">This study has been done within the YAMSYS project (<uri>https://www.yamsys.org</uri>, last access: 1 October 2021) funded by the food security module of the Swiss Programme for Research on Global Issues for Development (r4d programme; <uri>http://www.r4d.ch</uri>, last access: 1 October 2021) (SNF project no. 400540_152017/1). We would like to express gratitude to the site managers – Marie Leance Kouassi, Marcel Soma, and Augustin Kangah N'da  – and the 80 farmers that strongly supported our sampling endeavor and the idea of developing diagnostic and management innovations for improved yam growth. We would like to thank Nestor Pouya and Carole Werdenberg, who assisted with soil sampling. Our thanks also go to   Bahar Aciksöz, Michele Wyler, and Patricia Schwitter, who helped with sample milling, weighting, and acid digestion. We would also like to thank   Federica Tamburini for support with the CNS analysis and Björn Studer for the opportunity to perform XRF analyses on soils. We thank Raphael Viscarra Rossel and Marijn Van de Broek for their valuable feedback, which helped us to improve the manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5047">This research has been supported by the food security module of the Swiss Programme for Research on Global Issues for Development (<uri>http://www.r4d.ch/</uri>) (SNF project no. 400540_152017/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5056">This paper was edited by Stefan Hauser and reviewed by Stefan Hauser and one anonymous referee.</p>
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<abstract-html><p>Low soil fertility is challenging the sustainable production of yam and other staple crops in the yam belt of West Africa. Quantitative soil measures are needed to assess soil fertility decline and to improve crop nutrient supply in the region. We developed and tested a mid-infrared (mid-IR) soil spectral library to enable timely and cost-efficient assessments of soil properties. Our collection included 80 soil samples from four landscapes (10&thinsp;km&thinsp; × &thinsp;10&thinsp;km) and 20 fields per landscape across a gradient from humid forest to savannah and 14 additional samples from one landscape that had been sampled within the Land Health Degradation Framework. We derived partial least squares regression models to spectrally estimate soil properties. The models produced accurate cross-validated estimates of total carbon, total nitrogen, total sulfur, total iron, total aluminum, total potassium, total calcium, exchangeable calcium, effective cation exchange capacity, and diethylenetriaminepentaacetic acid (DTPA)-extractable iron and clay content (<i>R</i><sup>2</sup> &gt; 0.75). The estimates of total zinc, pH, exchangeable magnesium, bioavailable copper, and manganese were less predictable (<i>R</i><sup>2</sup> &gt; 0.50). Our results confirm that mid-IR spectroscopy is a reliable and quick method to assess the regional-level variation of most soil properties, especially the ones closely associated with soil organic matter. Although the relatively small mid-IR library shows satisfactory performance, we expect that frequent but small model updates will be needed to adapt the library to the variation of soil quality within individual fields in the regions and their temporal fluctuations.</p></abstract-html>
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