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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Remote Sens.</journal-id>
<journal-title>Frontiers in Remote Sensing</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Remote Sens.</abbrev-journal-title>
<issn pub-type="epub">2673-6187</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">778691</article-id>
<article-id pub-id-type="doi">10.3389/frsen.2021.778691</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Remote Sensing</subject>
<subj-group>
<subject>Brief Research Report</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Observing Sucrose Accumulation With Sentinel-1 Backscatter</article-title>
<alt-title alt-title-type="left-running-head">den Besten et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Observing Sucrose Accumulation from Space</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>den Besten</surname>
<given-names>Nadja</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1369518/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Steele-Dunne</surname>
<given-names>Susan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/118868/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Aouizerats</surname>
<given-names>Benjamin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zajdband</surname>
<given-names>Ariel</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>de Jeu</surname>
<given-names>Richard</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van der Zaag</surname>
<given-names>Pieter</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>VanderSat B.V., Agri, Food, and Commodity unit</institution>, <addr-line>Haarlem</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Water Management, Delft University of&#x20;Technology</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Geoscience and Remote Sensing, Faculty of Civil Engineering and Geosciences, Delft University of Technology</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Planet</institution>, <addr-line>San Francisco</addr-line>, <addr-line>CA</addr-line>, <country>United&#x20;States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>IHE Delft Institute for&#x20;Water Education</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1072684/overview">Haipeng Wang</ext-link>, Fudan University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1028904/overview">Fusun Balik Sanli</ext-link>, Y&#x131;ld&#x131;z Technical University, Turkey</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1140030/overview">Nan Ye</ext-link>, Monash University, Australia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Nadja den Besten, <email>ndenbesten@vandersat.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Microwave Remote Sensing, a section of the journal Frontiers in Remote Sensing</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>2</volume>
<elocation-id>778691</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>11</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 den Besten, Steele-Dunne, Aouizerats, Zajdband, de Jeu and van der Zaag.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>den Besten, Steele-Dunne, Aouizerats, Zajdband, de Jeu and van der Zaag</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>In this study the impact of sucrose accumulation in Sentinel-1 backscatter observations is presented and compared to Planet optical observations. Sugarcane yield data from a sugarcane plantation in Xinavane, Mozambique are used for this study. The database contains sugarcane yield of 387 fields over two seasons (2018-2019 and 2019-2020). The relation between sugarcane yield and Sentinel-1 VV and VH backscatter observation is analyzed by using the Normalized Difference Vegetation Index (NDVI) data as derived from Planet Scope optical imagery as a benchmark. The different satellite observations were compared over time to sugarcane yield to understand how the relation between the observations and yield evolves during the growing season. A negative correlation between yield and Cross Ratio (CR) from Sentinel-1 backscatter was found while a positive correlation between yield and Planet NDVI was observed. An additional modeling study on the dielectric properties of the crop revealed how the CR could be affected by sucrose accumulation during the growing season and supported the opposite correlations. The results shows CR contains information on sucrose content in the sugarcane plant. This sets a basis for further development of sucrose monitoring and prediction using a combination of radar and optical imagery.</p>
</abstract>
<kwd-group>
<kwd>cross ratio</kwd>
<kwd>sucrose accumulation</kwd>
<kwd>sugarcane</kwd>
<kwd>sentinel-1</kwd>
<kwd>yield prediction</kwd>
<kwd>planet NDVI</kwd>
<kwd>dielectric properties</kwd>
</kwd-group>
<contract-sponsor id="cn001">Technische Universiteit Delft<named-content content-type="fundref-id">10.13039/501100001831</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Sugarcane is an important source for both sugar and ethanol production, where the quantity and quality of soluble sugar in the plant, named sucrose, determines the final sugar yield. Sucrose production develops over the season in the stem of the sugarcane plant (<xref ref-type="bibr" rid="B39">Wang et&#x20;al., 2013</xref>). Sucrose accumulates in high concentrations in the stem. Different sucrose concentrations have been reported by cultivars around the world, ranging between 10 and 15 percent of fresh weight (<xref ref-type="bibr" rid="B17">Inman-Bamber, 2013</xref>).</p>
<p>Monitoring sugarcane and its sucrose content during the growing season can provide essential information to several users, such as individual producers, sugarcane mills, or commodity traders (<xref ref-type="bibr" rid="B1">Abdel-Rahman and Ahmed, 2008</xref>). This is because monitoring and yield forecasting helps to evaluate production processes, adjust on-site management, and estimates the potential industrial production (<xref ref-type="bibr" rid="B4">Bocca et&#x20;al., 2015</xref>). Currently, the most common method for yield estimation in the field is still based on historical records and expert knowledge (<xref ref-type="bibr" rid="B32">Shendryk et&#x20;al., 2021</xref>). Specialists estimate yield based on visual assessment, basing their estimation on knowledge, historical yield data, land characteristics, weather, and the manifestation of pests and diseases (<xref ref-type="bibr" rid="B4">Bocca et&#x20;al., 2015</xref>).</p>
<p>Previous studies have researched the relation between sugarcane yield and vegetation indices computed from satellite data (<xref ref-type="bibr" rid="B3">B&#xe9;gu&#xe9; et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B20">Lofton et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B27">Morel et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B25">Molijn et&#x20;al., 2019</xref>). Common techniques are based on optical indices (e.g. NDVI). For instance, <xref ref-type="bibr" rid="B27">Morel et&#x20;al. (2014)</xref> found integrated NDVI values over the growing season best related to yield on a field scale. <xref ref-type="bibr" rid="B15">Fernandes et&#x20;al. (2017)</xref> investigated how NDVI timeseries and neural networks can be combined to predict regional sugarcane yield in Brazil. Unfortunately, the integration of new yield estimation techniques into the decision making process of sugarcane production remains slow (<xref ref-type="bibr" rid="B4">Bocca et&#x20;al., 2015</xref>).</p>
<p>Few studies have focused on Synthetic Aperture Radar (SAR) data and its relation to sugarcane or sucrose yield. Limited studies have assessed the capability of SAR data to monitor sugarcane biomass or estimate sugarcane yield. <xref ref-type="bibr" rid="B32">Shendryk et&#x20;al. (2021)</xref> focused on predicting yield with machine learning, where Sentinel-1 data was used as a predictor variable. <xref ref-type="bibr" rid="B25">Molijn et&#x20;al. (2019)</xref> explored the suitability of Sentinel-1 data to monitor biomass throughout the growing season. However, in none of these studies was SAR data directly compared to a large yield database.</p>
<p>This study will show how sucrose accumulation affects Sentinel-1 backscatter. Sentinel-1 backscatter and Planet optical data are used and compared. We start by assessing the variation of different vegetation indices over the growing season. Hereafter, the relationship of different vegetation indices to sugarcane yield over the season is compared. Finally, a modeling study was set up to mimic the impact of sucrose accumulation on the dielectric constant. The modeling study will provide explanation on the behavior of Sentinel-1 backscatter and supports the potential to monitor potential sucrose yield with satellite&#x20;data.</p>
<sec id="s1-1">
<title>2 Sugarcane Growth</title>
<p>Around the world sugarcane is grown in subtropical and tropical conditions. While Brazil and India are the largest sugarcane producers worldwide, accounting for 21 and 39% respectively (<xref ref-type="bibr" rid="B13">FAO, 2021a</xref>), the continent of Africa accounts for five percent of the total sugarcane production (<xref ref-type="bibr" rid="B14">FAO, 2021b</xref>). Where Brazil produces sugarcane mostly under dryland conditions, the majority of the sugarcane grown on the African continent is sustained with irrigation (<xref ref-type="bibr" rid="B9">Dubb et&#x20;al., 2017</xref>).</p>
<p>Sugarcane can be grown as a plant cane or ratoon crop (<xref ref-type="bibr" rid="B17">Inman-Bamber, 2013</xref>). When sugarcane is grown as a ratoon crop, it is not replanted annually but grown from the preceding plant. As it is cost-effective, ratooning is the most common practice within the sugarcane growing countries (<xref ref-type="bibr" rid="B35">Surendran et&#x20;al., 2016</xref>). Sugarcane is planted and harvested all year round. Harvest dates depend on the sugar mill and ideally, cane growth is planned to sustain maximum capacity (<xref ref-type="bibr" rid="B4">Bocca et&#x20;al., 2015</xref>).</p>
<p>Compared to other perennial crops, sugarcane has a relatively long growing season and is harvested after a period of between 12 and 18&#xa0;months. Physiological changes controlled by different mechanisms define different growth stages. In general, sugarcane growth is divided by the following four periods: an initial stage (30&#xa0;days), tillering stage (90&#xa0;days), development stage (150&#xa0;days), and the final stage (90&#xa0;days) (<xref ref-type="bibr" rid="B8">Doorenbos and Kassam, 1979</xref>; <xref ref-type="bibr" rid="B33">Silva et&#x20;al., 2015</xref>). Throughout the analysis, we will refer to these growth stages.</p>
<p>The initial stage is characterised by the germination of the original stool. The onset of biomass growth and sucrose accumulation coincides with the development of the leaf canopy, during the tillering stage (<xref ref-type="bibr" rid="B17">Inman-Bamber, 2013</xref>). During the development stage the sugarcane plant focuses more on elongation of the stem, which is an important sink for sucrose development (<xref ref-type="bibr" rid="B5">Cock, 2001</xref>; <xref ref-type="bibr" rid="B17">Inman-Bamber, 2013</xref>). In the final stage, senescence is the dominant process (<xref ref-type="bibr" rid="B22">Martins et&#x20;al., 2016</xref>). During this process the leaves turn yellow as chlorophyll content decreases. This process is combined with water loss in the plant and therewith increases the sucrose concentration in the plant (<xref ref-type="bibr" rid="B3">B&#xe9;gu&#xe9; et&#x20;al., 2010</xref>). In irrigated sugarcane, irrigation is often stopped at the end of the season to maximize the accumulation of sucrose (<xref ref-type="bibr" rid="B17">Inman-Bamber, 2013</xref>).</p>
</sec>
</sec>
<sec id="s2">
<title>3 Data and Methods</title>
<sec id="s2-1">
<title>3.1 Field Data Acquisition</title>
<p>This study uses crop yield data from a sugarcane plantation located on the banks of the lower Incomati river in Xinavane, Mozambique (see <xref ref-type="sec" rid="s10">Supplementary Material</xref>). The plantation grows ratoon sugarcane under irrigated conditions in a subtropical climate. From April to December, the local sugar mill opens and the sugarcane fields are harvested (<xref ref-type="bibr" rid="B6">den Besten et&#x20;al., 2020</xref>, <xref ref-type="bibr" rid="B7">2021</xref>). The focus of this research lies on 387 fields that make up the majority of the area owned and grown by the Tongaat Hulett group, where agricultural management is centrally organized. The average field-size is approximately 20&#xa0;hectares (<xref ref-type="bibr" rid="B6">den Besten et&#x20;al., 2020</xref>). The sugarcane in the plantation is planted in rows 1&#x2013;1.5&#xa0;m apart. The dominant sugarcane varieties in the plantation are N25 and&#x20;N23.</p>
<p>In the analysis, we use sugarcane yield data of season 2018-2019 and 2019-2020. After harvest, trucks containing harvested sugarcane are weighed and documented per field. After weighing, several samples are tested for their sucrose content. This process results in data per field on sugarcane yield (tons/hectare, TCH) and sucrose yield (tons/hectare, TSH). The relation between sugarcane and sucrose yield is linear for this plantation with a correlation coefficient of 0.95 for 688 samples (see <xref ref-type="fig" rid="F1">Figure&#x20;1B</xref>). Because of this very high correlation and the fact that the sucrose database is not complete, we focus during this study on the yield data available for sugarcane as a proxy for its sucrose content to maximize the number of available data points.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Distribution of sugarcane yield for season 2018-2019 and 2019-2020. <bold>(B)</bold> Comparison sucrose yield and sugarcane yield (<italic>r</italic>&#x20;&#x3d; 0.95).</p>
</caption>
<graphic xlink:href="frsen-02-778691-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>3.2 Satellite Data Acquisition and Processing</title>
<p>For this analysis, time series per season were extracted for different remote sensing products per field based on harvesting dates. Time series dates were expressed in terms of &#x201c;days after ratooning&#x201d; to allow for comparison between fields. Time series of the field-averaged Sentinel-1 backscatters at VV and VH polarizations were used, as well as Planet&#x2019;s NDVI product.</p>
<sec id="s2-2-1">
<title>3.2.1&#x20;Sentinel-1 Backscatter</title>
<p>Sentinel-1 data was processed by using the Sentinel Application Platform (SNAP) toolbox (<xref ref-type="bibr" rid="B12">ESA, 2021b</xref>). During this process a radiometric calibration and terrain correction are applied to convert the data into normalized backscatter and correct for elevation differences respectively. The Sentinel-1 satellites observed with Synthetic Aperture Radar (SAR), captures backscatter at 5.405&#xa0;GHz (C-band) at 5&#x20;&#xd7; 20&#xa0;m spatial resolution. In southern Mozambique, Sentinel-1 has a revisit frequency of approximately 12&#xa0;days (<xref ref-type="bibr" rid="B11">ESA, 2021a</xref>). Only descending data from both Sentinel-1 platforms were used of orbit number 6 and 79 to minimize observation geometry effects (<xref ref-type="bibr" rid="B38">Vreugdenhil et&#x20;al., 2018</xref>). Finally, the observations were sampled at a 10 by 10&#xa0;m resolution.</p>
<p>Backscatter timeseries were extracted from Sentinel-1 observations for each field for VV and VH polarizations. In addition, the cross ratio (CR) was calculated for each field. The CR can be calculated by subtracting VH-VV on a logarithmic scale. In previous researches CR was used to study vegetation dynamics as it reduces the backscatter effect of soil moisture and soil-vegetation interactions (<xref ref-type="bibr" rid="B38">Vreugdenhil et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B19">Khabbazan et&#x20;al., 2019</xref>). CR has been shown to increase with vegetation growth and is, therefore, more representative of the scattering associated with volume scattering from vegetation (<xref ref-type="bibr" rid="B37">Veloso et&#x20;al., 2017</xref>), while the individual VV and VH backscatters include a stronger contribution of soil moisture from rain events as well as irrigation.</p>
</sec>
<sec id="s2-2-2">
<title>3.2.2 Planet Fusion NDVI</title>
<p>The Normalized Difference Vegetation Index (NDVI) is a widely used vegetation index. NDVI requires red and near-infra red bands and is indicative of the chlorophyll content of a vegetated surface (<xref ref-type="bibr" rid="B31">Rouse et&#x20;al., 1974</xref>). Planet realizes daily global imaging in optical spectrum, observing in RGB and near infra red at approximately 3&#xa0;m spatial resolution with commercial satellites. For this study Planet&#x2019;s NDVI fusion products was used and up-scaled to Sentinel-1&#x2019;s 10&#xa0;m spatial resolution. The Planet fusion product merges PlanetScope observations with Sentinel-2, Landsat-8 and MODIS data (<xref ref-type="bibr" rid="B16">Houborg and McCabe, 2018</xref>). The end result is a daily cloud free NDVI timeseries. The new Planet data improves cross-sensor inconsistencies due to variations in orbital configurations, spectral responses, and radiometric quality. The CubeSat ENabled Spatio-Temporal Enhancement Method (CESTEM) creates a robust NDVI signal that can be used to observe high-frequency vegetation dynamics (<xref ref-type="bibr" rid="B16">Houborg and McCabe, 2018</xref>; <xref ref-type="bibr" rid="B2">Aragon et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B30">Planet Labs Inc, 2020</xref>).</p>
</sec>
</sec>
<sec id="s2-3">
<title>3.3 Sugarcane Data Analysis</title>
<p>The sugarcane yield and satellite data were used to understand the effect of sucrose accumulation on different vegetation indices retrieved with satellite data. In addition, a modeling study was done to explain the effect of changes in the vegetation water content as a result of sucrose accumulation on the dielectric constant of vegetation.</p>
<sec id="s2-3-1">
<title>3.3.1 Yield Analysis</title>
<p>First, the variation of NDVI and CR per field was assessed over the growing season. To understand the behaviour of the two vegetation indices in poor and good performing fields, the 10th and 90th percentile of the sugarcane yield dataset for the season 2018-2019 and 2019-2020 was calculated. The 10th percentile was found to be 50.0 TCH and the 90th percentile 108.7 TCH. The average NDVI and CR over time was computed for the selected fields below and above the chosen percentiles.</p>
<p>Second, the VV backscatter, VH backscatter, CR, and NDVI were compared with yield over the growing season. The Pearson correlation coefficient was computed for each day after ratooning for average field values of the satellite derived products and the final sugarcane yield. For each satellite product the 5-day moving average of the correlation coefficient was plotted to understand the changes over the growing season.</p>
</sec>
<sec id="s2-3-2">
<title>3.3.2 Modeling Study</title>
<p>To understand the effect of sucrose accumulation on radar backscatter a modeling study was performed. Radar backscatter of a canopy is determined by its dielectric properties, size, shape, orientation, and roughness, and the distribution of the canopy (<xref ref-type="bibr" rid="B18">Karam and Fung, 1989</xref>; <xref ref-type="bibr" rid="B34">Steele-Dunne et&#x20;al., 2017</xref>). The dielectric properties of vegetation are described by the dual-dispersion model of <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref>. This is a model converting the gravimetric water content into the complex dielectric constant of vegetation (<italic>&#x3f5;</italic>
<sub>
<italic>v</italic>
</sub>) (<xref ref-type="bibr" rid="B24">Meyer et&#x20;al., 2019</xref>). <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref> assumes <italic>&#x3f5;</italic>
<sub>
<italic>v</italic>
</sub> is a mixture of three components: a non-dispersive residual component (<italic>&#x3f5;</italic>
<sub>
<italic>r</italic>
</sub>) [-], a free water component (<italic>&#x3f5;</italic>
<sub>
<italic>fw</italic>
</sub>) [-], and a bound water component (<italic>&#x3f5;</italic>
<sub>
<italic>b</italic>
</sub>) [-]. Where bound water refers to the water molecules that are in a solution, and free water means refers to water molecules not in compound (<xref ref-type="bibr" rid="B36">Ulaby and El-Rayes, 1987</xref>). <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref> define the dielectric constant of vegetation (<italic>&#x3f5;</italic>
<sub>
<italic>v</italic>
</sub>) as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(1)</label>
</disp-formula>Where <italic>&#x3c5;</italic>
<sub>
<italic>fw</italic>
</sub>: volume fraction of free water [-] <italic>&#x3c5;</italic>
<sub>
<italic>b</italic>
</sub>: volume fraction of the bulk vegetation-bound water mixture [-]. All the components depend on the gravimetric water content (<italic>M</italic>
<sub>
<italic>g</italic>
</sub>). Where <italic>M</italic>
<sub>
<italic>g</italic>
</sub> is the gravimetric moisture content defined as the amount of water [g] per wet biomass [g] (<xref ref-type="bibr" rid="B24">Meyer et&#x20;al., 2019</xref>). The non-dispersive residual component (<italic>&#x3f5;</italic>
<sub>
<italic>r</italic>
</sub>) is estimated as:<disp-formula id="e2">
<mml:math id="m2">
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.7</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.74</mml:mn>
<mml:msub>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>6.16</mml:mn>
<mml:msubsup>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>The free water and bound water component of the complex dielectric constant of vegetation in <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> are defined as follows:<disp-formula id="e3">
<mml:math id="m3">
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.9</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>75</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mn>18</mml:mn>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m4">
<mml:msub>
<mml:mrow>
<mml:mi>&#x3f5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2.9</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>55</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0.18</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:math>
<label>(4)</label>
</disp-formula>where <italic>f</italic> is the frequency [GHz], <italic>&#x3c3;</italic> the ionic conductivity of free-water solution [<italic>Sm</italic>
<sup>&#x2212;1</sup>], and <italic>j</italic> denotes the imaginary number. The parameter <italic>&#x3c3;</italic> was found to be constant (1.27&#x20;<italic>Sm</italic>
<sup>&#x2212;1</sup>) by <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref>. The difficulty of the model is to estimate the distribution of free and bound water. With the help of lab experiments <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref> found a relation between the gravimetric moisture content and the <italic>&#x3c5;</italic>
<sub>
<italic>fw</italic>
</sub> and <italic>&#x3c5;</italic>
<sub>
<italic>b</italic>
</sub>:<disp-formula id="e5">
<mml:math id="m5">
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.55</mml:mn>
<mml:msub>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.076</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m6">
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.64</mml:mn>
<mml:msubsup>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>7.36</mml:mn>
<mml:msubsup>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Literature on water content and sucrose development in sugarcane over time is not abundant (<xref ref-type="bibr" rid="B17">Inman-Bamber, 2013</xref>). However, a study by <xref ref-type="bibr" rid="B28">Muchow et&#x20;al. (1996)</xref> reported on a field experiment that documented the development of sucrose, vegetation water, and dry vegetation over the growing season. The location of the experiment was Australia and sugarcane was grown as a ratoon crop under irrigated conditions (<xref ref-type="bibr" rid="B28">Muchow et&#x20;al., 1996</xref>). The experiment entailed sampling of sugarcane on eight moments in the growing season. From these results the gravimetric moisture content was estimated by:<disp-formula id="e7">
<mml:math id="m7">
<mml:msub>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>M</italic>
<sub>
<italic>sucrose</italic>
</sub> is the fraction of sucrose of the total fresh biomass and <italic>M</italic>
<sub>
<italic>dry</italic>
</sub> the fraction of dry weight of the fresh biomass. Data from (<xref ref-type="bibr" rid="B28">Muchow et&#x20;al., 1996</xref>) were used to model the effect of temporal changes in <italic>M</italic>
<sub>
<italic>g</italic>
</sub> on the dielectric constant in vegetation. This allows us to explain the observed changes in backscatter and CR. In <xref ref-type="table" rid="T1">Table&#x20;1</xref> the resulting <italic>&#x3c5;</italic>
<sub>
<italic>fw</italic>
</sub> and <italic>&#x3c5;</italic>
<sub>
<italic>b</italic>
</sub> can be&#x20;found.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Free and bound water fractions after several moments in the growing season. <italic>&#x3c5;</italic>
<sub>
<italic>b</italic>
</sub> and <italic>&#x3c5;</italic>
<sub>
<italic>fw</italic>
</sub> computed with field experiment results <xref ref-type="bibr" rid="B28">Muchow et&#x20;al. (1996)</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sampling day</th>
<th align="center">150</th>
<th align="center">190</th>
<th align="center">220</th>
<th align="center">250</th>
<th align="center">290</th>
<th align="center">350</th>
<th align="center">380</th>
<th align="center">420</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<bold>
<italic>&#x3c5;</italic>
</bold>
<sub>
<bold>
<italic>fw</italic>
</bold>
</sub>
</td>
<td align="char" char=".">0.29</td>
<td align="char" char=".">0.23</td>
<td align="char" char=".">0.20</td>
<td align="char" char=".">0.18</td>
<td align="char" char=".">0.15</td>
<td align="char" char=".">0.14</td>
<td align="char" char=".">0.14</td>
<td align="char" char=".">0.13</td>
</tr>
<tr>
<td align="left">
<bold>
<italic>&#x3c5;</italic>
</bold>
<sub>
<bold>
<italic>b</italic>
</bold>
</sub>
</td>
<td align="char" char=".">0.52</td>
<td align="char" char=".">0.50</td>
<td align="char" char=".">0.49</td>
<td align="char" char=".">0.48</td>
<td align="char" char=".">0.45</td>
<td align="char" char=".">0.45</td>
<td align="char" char=".">0.45</td>
<td align="char" char=".">0.44</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s3">
<title>4 Results</title>
<p>
<xref ref-type="fig" rid="F2">Figures 2A,B</xref> show the NDVI and CR per field during the growing season, where panel A shows the NDVI and panel B the CR. The red and green lines in <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref> and dots in <xref ref-type="fig" rid="F2">Figure&#x20;2B</xref> display the NDVI and CR observation values in 10th and 90th percentile fields considering crop yield. The NDVI and CR of the fields with a yield below the 10th percentile and above the 90th percentile are averaged to compute the red and green lines, respectively. From <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref> the 90th percentile NDVI development show an increase over the growing season. The 90th percentile reaches a much higher NDVI value. The 10th percentile NDVI development show lower values. The difference between the 10th and 90th percentile line becomes evident during the Development and Final stage, when the biomass is fully developing. The results suggest good performing fields develop high NDVI values over the growing season and poor performing fields develop lower NDVI values. Which is in line with previous research on NDVI and sugarcane yield (<xref ref-type="bibr" rid="B3">B&#xe9;gu&#xe9; et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B29">Pinheiro Lisboa et&#x20;al., 2018</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> NDVI timeseries of the fields under study over the growing season. Each gray line corresponds to a single field. <bold>(B)</bold> Cross ratio timeseries of the fields under study. The green and red dots display the average values of fields with a yield above the 90th percentile (&#x3e;108.7 TCH) and below the 10th percentile (&#x3c;50.0 TCH). The bar below the figure indicates the length of the different crop stages.</p>
</caption>
<graphic xlink:href="frsen-02-778691-g002.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref> shows an opposite signal compared to NDVI. The CR development of 90th percentile line shows a decrease over the growing season, starting in the Development stage. The average CR values of the 10th percentile fields are more constant from the end of the Tillering stage onward. Interestingly, the CR values of the 10th percentile fields are higher than the 90th percentile fields in the Development and Final stage. Combining with <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>, this suggests that good-performing fields are characterized by high NDVI and low CR. Conversely, poor-performing fields are characterized by low NDVI and higher CR values. To our knowledge, this is the first such analysis of CR in sugarcane. However, in other crops (e.g. corn) the CR increases over time as a result of increase in vegetation water content (<xref ref-type="bibr" rid="B38">Vreugdenhil et&#x20;al., 2018</xref>).</p>
<p>
<xref ref-type="fig" rid="F3">Figure&#x20;3</xref> visualizes the relation between different satellite products and sugarcane yield over the growing season. The satellite derived products assessed in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> are: VV, VH, CR and NDVI. In <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> the Pearson correlation over each day in the growing season is calculated for the final yield and average field value of the satellite derived product for all fields under study. <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> shows the correlation between sugarcane yield and NDVI is increasing alongside the sugarcane development. The highest correlation is 0.56 on 254&#xa0;days after ratooning, at the end of the Development stage. In the Final stage, the correlation with yield declines. This is expected since, at this stage, dry-off causes wilting of the sugarcane plant (see <xref ref-type="sec" rid="s1-1">section&#x20;2</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Pearson correlation with sugarcane yield for season 2019-2020 for VV and VH polarization, Cross ratio, and NDVI. The bar below the figure indicates the length of the different crop stages.</p>
</caption>
<graphic xlink:href="frsen-02-778691-g003.tif"/>
</fig>
<p>VV and VH show a similar variation in their correlation to yield throughout the growing season. The highest correlation for VV is 0.50 on day 272 and 0.42 for VH on day 116. The correlation to yield for VV and VH start to deviate from each other during the Development stage. VV shows higher correlations to yield compared to the VH, suggesting that VV provides a better indicator of sugarcane growth than VH. This is in contrast to other studies on broadleaf crops and tall leaf stems (e.g. corn) which showed an increasing backscatter signal over the growing season (<xref ref-type="bibr" rid="B21">Macelloni et&#x20;al., 2001</xref>). <xref ref-type="bibr" rid="B21">Macelloni et&#x20;al. (2001)</xref> and <xref ref-type="bibr" rid="B38">Vreugdenhil et&#x20;al. (2018)</xref> showed VH to be more sensitive to crop growth indicators (i.e. Leaf Area Index, Vegetation Water Content). However, the crops considered in those studies do not accumulate sucrose over the growing season.</p>
<p>The CR shows a negative relationship with yield over time. This is opposite to the relationship NDVI shows with yield over time. Over the growing season the relation between CR and yield shows an increasing negative correlation with a maximum correlation of &#x2212;0.47 on day 233. In particular, halfway through the Tillering stage and towards the start of the Development stage, the CR correlation shows a steep decline. Towards the end of the Development stage, the correlation stablizes and remains stable throughout the Final stage. The steep increase in negative correlation between the yield and CR half way the Tillering stage suggests a change in the sugarcane plant growth. Interestingly, this coincides with the period in which the sugarcane plant starts to accumulate sucrose (see <xref ref-type="sec" rid="s1-1">section&#x20;2</xref>).</p>
<p>A modeling study was performed to investigate how sucrose accumulation affects the dielectric constant, a key driver of the radar backscatter. Data were used from a field campaign conducted by <xref ref-type="bibr" rid="B28">Muchow et&#x20;al. (1996)</xref>, in which they documented the development of sucrose, vegetation water, and dry vegetation over the growing season. The data are visualized in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>, where the accumulation of sucrose is evident, particularly during the Development&#x20;stage.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Results of a field campaign by <xref ref-type="bibr" rid="B28">Muchow et&#x20;al. (1996)</xref> and the influence of the change in distribution between bound and free particles on the dielectric properties of vegetation. The bar below the figure indicates the length of the different crop stages.</p>
</caption>
<graphic xlink:href="frsen-02-778691-g004.tif"/>
</fig>
<p>The accumulation of sucrose within the plant lowers the total gravimetric water content in the plant (<xref ref-type="sec" rid="s2-2-2">section 3.2.2</xref> and <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>). Based on the Dual Dispersion model of <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref>, this lowers the dielectric constant of vegetation significantly, see <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>. <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows how the dielectric constant of vegetation, particularly the real part, decreases. This decrease explains the decrease in backscatter, which in turn explains the negative correlation between CR and&#x20;yield.</p>
<p>It is worth noting that a change in the chemical composition of stem water as a result of sucrose accumulation would also affect the dielectric constant, a factor not explicitly considered in <xref ref-type="disp-formula" rid="e6">Eq. 6</xref> (<xref ref-type="bibr" rid="B36">Ulaby and El-Rayes, 1987</xref>; <xref ref-type="bibr" rid="B23">McDonald et&#x20;al., 2002</xref>). As sucrose is bound to water, an increase in sucrose should increase the amount of bound water (<xref ref-type="bibr" rid="B26">Moore and Botha, 2013</xref>). Bound water has a lower dielectric constant than free water, as the molecules are not free to rotate. Hence, accounting for the impact of sucrose on the bound water fraction is likely to lead to a further decrease in dielectric constant.</p>
<p>As a result of sucrose production within the sugarcane stem, the combined effect of a changing water content and chemical composition affects the backscatter signal through a decrease in dielectric constant directly. This is different from NDVI, which indicates the chlorophyll content of the vegetated surfaces (<xref ref-type="bibr" rid="B31">Rouse et&#x20;al., 1974</xref>). The link between chlorophyll content and sucrose accumulation is indirect. The CR in particular has a distinctive response to the sucrose development and, therefore, proves to contain information on sucrose accumulation in the sugarcane plant. In addition, the results support the CR to be more representative of the scattering associated with the canopy, as was found in other studies (<xref ref-type="bibr" rid="B37">Veloso et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B38">Vreugdenhil et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B19">Khabbazan et&#x20;al., 2019</xref>).</p>
</sec>
<sec id="s4">
<title>5 Discussion</title>
<p>This study shows the relationship between sugarcane yield and vegetation indices from Sentinel-1 backscatter and Planet NDVI. The results show a negative correlation between the CR and sugarcane yield over the growing season. Previous studies on the CR reported the ability to observe changes in vegetation structure and accumulation of fresh biomass (<xref ref-type="bibr" rid="B37">Veloso et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B38">Vreugdenhil et&#x20;al., 2018</xref>). However, no comparable studies exist where the CR is compared to yield in sucrose accumulating&#x20;crops.</p>
<p>Contrary to the results using CR, NDVI develops a positive correlation to yield over the growing season. In other words, where good performing fields are characterized by low CR values and high NDVI, poor performing fields are characterized by high CR values and low NDVI. Other researchers have found positive correlations with NDVI and sugarcane crop yield (<xref ref-type="bibr" rid="B3">B&#xe9;gu&#xe9; et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B27">Morel et&#x20;al., 2014</xref>). In these studies the integral of NDVI over the growing season was compared to final sugarcane yield or the maximum value within a growing season. In addition, <xref ref-type="bibr" rid="B3">B&#xe9;gu&#xe9; et&#x20;al. (2010)</xref> found lower NDVI values in the final stage for fields with a higher sucrose content. This can be explained by the leaf senescence, which causes the chlorophyll content to drop. And could explain why the results show a decrease in correlation with NDVI towards the end of the growing season.</p>
<p>A modeling study was used to show how the dielectric constant of sugarcane is affected by the change in the sugarcane&#x2019;s internal composition (<xref ref-type="bibr" rid="B10">El-Rayes and Ulaby, 1987</xref>; <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes, 1987</xref>). Contrary to other crops, the chemical composition of plant water in sucrose-producing crops, like sugarcane, changes over the growing season. Sucrose is produced from the Tillering stage through to the Development stage. This decreases the amount of free water and increases the bound water in the sugarcane stem over the growing season (<xref ref-type="bibr" rid="B39">Wang et&#x20;al., 2013</xref>, <xref ref-type="bibr" rid="B40">2011</xref>). The combined effect of a decrease in vegetation water content and change in chemical composition of the vegetation water due to sucrose accumulation in the sugarcane stem alters the backscatter signal (<xref ref-type="bibr" rid="B23">McDonald et&#x20;al., 2002</xref>).</p>
<p>The alteration of the backscatter signal is visible in the CR over the growing season which shows a negative correlation to sucrose yield. This shows the CR is able to observe sucrose accumulation during the growing season. Hence, the CR is indicative of the sucrose content in the sugarcane plant. To improve understanding of the effect of sucrose accumulation on the backscatter signal, more research should focus on the effect of sucrose accumulation on the partitioning between free and bound water in vegetation. Within the current estimation of gravimetric moisture content in <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref> the development of bound water in sucrose accumulating crops are underestimated. The estimation of apportioning free and bound water is currently based on, predominantly, corn leaf experiments by <xref ref-type="bibr" rid="B36">Ulaby and El-Rayes (1987)</xref>. More studies should focus on experiments with sucrose accumulating vegetation (e.g. agave).</p>
<p>In this study, we prove that CR computed with Sentinel-1 backscatter can be used to observe sucrose accumulation in sugarcane. Although this study focuses on sugarcane, we foresee that Sentinel-1 backscatter could also be of use to monitor quality and/or sucrose accumulation in other crops (e.g. agave). In addition, combining optical and backscatter observations is expected to be of value for crop monitoring and yield prediction. Future studies along the same line, therefore, should focus on combining these different data products.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>NB, SS-D, and RJ contributed to conception and design of the study. BA and NB organized the database. NB acquired field data and performed the analysis. NB wrote the first draft of the manuscript. All authors contributed to manuscript revision, read, and and approved the submitted version.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This project was partly supported through the MINERVA knowledge network, funded by the Netherlands Space Office (NSO) and the Dutch Research Council (NWO).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of Interest</title>
<p>NB, BA and RJ were employed by VanderSat B.V. AZ is employed by Planet Labs&#x20;Inc.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>A special thanks to VanderSat colleagues Yoann Malbeteau and Rogier Burger who were part of the research.</p>
</ack>
<sec id="s10">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/frsen.2021.778691/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/frsen.2021.778691/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Image1.JPEG" id="SM1" mimetype="application/JPEG" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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