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<article article-type="research-article" xml:lang="en" dtd-version="1.4"><front><journal-meta><journal-id journal-id-type="nlm-ta">PLoS One</journal-id><journal-id journal-id-type="iso-abbrev">PLoS One</journal-id><journal-id journal-id-type="pmc-domain-id">440</journal-id><journal-id journal-id-type="pmc-domain">plosone</journal-id><journal-id journal-id-type="nlm-id">101285081</journal-id><journal-id journal-id-type="publisher-id">plos</journal-id><journal-title-group><journal-title>PLoS ONE</journal-title></journal-title-group><issn pub-type="epub">1932-6203</issn><?publisher_abbrev plos?><publisher><publisher-name>PLOS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmcid">PMC7540849</article-id><article-id pub-id-type="pmcid-ver">PMC7540849.1</article-id><article-id pub-id-type="pmcaid">7540849</article-id><article-id pub-id-type="pmcaiid">7540849</article-id><article-id pub-id-type="pmid">33027289</article-id><article-id pub-id-type="doi">10.1371/journal.pone.0239673</article-id><article-id pub-id-type="publisher-id">PONE-D-20-20899</article-id><article-version article-version-type="pmc-version">1</article-version><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Eukaryota</subject><subj-group><subject>Plants</subject><subj-group><subject>Legumes</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Eukaryota</subject><subj-group><subject>Plants</subject><subj-group><subject>Grasses</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Agriculture</subject><subj-group><subject>Agricultural Methods</subject><subj-group><subject>Monoculture Cropping</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Agriculture</subject><subj-group><subject>Agrochemicals</subject><subj-group><subject>Fertilizers</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Research and Analysis Methods</subject><subj-group><subject>Mathematical and Statistical Techniques</subject><subj-group><subject>Statistical Methods</subject><subj-group><subject>Multivariate Analysis</subject><subj-group><subject>Principal Component Analysis</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Physical Sciences</subject><subj-group><subject>Mathematics</subject><subj-group><subject>Statistics</subject><subj-group><subject>Statistical Methods</subject><subj-group><subject>Multivariate Analysis</subject><subj-group><subject>Principal Component Analysis</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Developmental Biology</subject><subj-group><subject>Plant Growth and Development</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Plant Science</subject><subj-group><subject>Plant Growth and Development</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Research and Analysis Methods</subject><subj-group><subject>Research Design</subject><subj-group><subject>Experimental Design</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Genetics</subject><subj-group><subject>Phenotypes</subject></subj-group></subj-group></subj-group></article-categories><title-group><article-title>High-throughput, image-based phenotyping reveals nutrient-dependent growth facilitation in a grass-legume mixture</article-title><alt-title alt-title-type="running-head">Image-based phenotyping reveals nutrient-dependent growth facilitation in a grass-legume mixture</alt-title></title-group><contrib-group><contrib contrib-type="author"><contrib-id authenticated="true" contrib-id-type="orcid">http://orcid.org/0000-0001-9632-0874</contrib-id><name name-style="western"><surname>Ball</surname><given-names initials="KR">Kirsten Rae</given-names></name><role content-type="https://casrai.org/credit/">Conceptualization</role><role content-type="https://casrai.org/credit/">Data curation</role><role content-type="https://casrai.org/credit/">Formal analysis</role><role content-type="https://casrai.org/credit/">Funding acquisition</role><role content-type="https://casrai.org/credit/">Methodology</role><role content-type="https://casrai.org/credit/">Project administration</role><role content-type="https://casrai.org/credit/">Supervision</role><role content-type="https://casrai.org/credit/">Visualization</role><role content-type="https://casrai.org/credit/">Writing – original draft</role><role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role><xref ref-type="aff" rid="aff001"><sup>1</sup></xref><xref ref-type="aff" rid="aff002"><sup>2</sup></xref><xref ref-type="author-notes" rid="currentaff001"><sup>¤</sup></xref><xref ref-type="corresp" rid="cor001">*</xref></contrib><contrib contrib-type="author"><name name-style="western"><surname>Power</surname><given-names initials="SA">Sally Anne</given-names></name><role content-type="https://casrai.org/credit/">Conceptualization</role><role content-type="https://casrai.org/credit/">Supervision</role><role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role><xref ref-type="aff" rid="aff001"><sup>1</sup></xref></contrib><contrib contrib-type="author"><contrib-id authenticated="true" contrib-id-type="orcid">http://orcid.org/0000-0003-0581-1817</contrib-id><name name-style="western"><surname>Brien</surname><given-names initials="C">Chris</given-names></name><role content-type="https://casrai.org/credit/">Data curation</role><role content-type="https://casrai.org/credit/">Formal analysis</role><xref ref-type="aff" rid="aff003"><sup>3</sup></xref></contrib><contrib contrib-type="author"><name name-style="western"><surname>Woodin</surname><given-names initials="S">Sarah</given-names></name><role content-type="https://casrai.org/credit/">Conceptualization</role><role content-type="https://casrai.org/credit/">Supervision</role><role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role><xref ref-type="aff" rid="aff002"><sup>2</sup></xref></contrib><contrib contrib-type="author"><name name-style="western"><surname>Jewell</surname><given-names initials="N">Nathaniel</given-names></name><role content-type="https://casrai.org/credit/">Data curation</role><role content-type="https://casrai.org/credit/">Formal analysis</role><xref ref-type="aff" rid="aff003"><sup>3</sup></xref></contrib><contrib contrib-type="author"><contrib-id authenticated="true" contrib-id-type="orcid">http://orcid.org/0000-0003-1195-4478</contrib-id><name name-style="western"><surname>Berger</surname><given-names initials="B">Bettina</given-names></name><role content-type="https://casrai.org/credit/">Methodology</role><role content-type="https://casrai.org/credit/">Resources</role><role content-type="https://casrai.org/credit/">Supervision</role><role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role><xref ref-type="aff" rid="aff003"><sup>3</sup></xref></contrib><contrib contrib-type="author"><name name-style="western"><surname>Pendall</surname><given-names initials="E">Elise</given-names></name><role content-type="https://casrai.org/credit/">Conceptualization</role><role content-type="https://casrai.org/credit/">Methodology</role><role content-type="https://casrai.org/credit/">Supervision</role><role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role><xref ref-type="aff" rid="aff001"><sup>1</sup></xref></contrib></contrib-group><aff id="aff001"><label>1</label>
<addr-line>Hawkesbury Institute for the Environment, Western Sydney University, Penrith, New South Wales, Australia</addr-line></aff><aff id="aff002"><label>2</label>
<addr-line>Institute of Biological &amp; Environmental Sciences, University of Aberdeen, Aberdeen, United Kingdom</addr-line></aff><aff id="aff003"><label>3</label>
<addr-line>Australian Plant Phenomics Facility, The Plant Accelerator, School of Agriculture, Food and Wine, University of Adelaide, Urrbrae, South Australia, Australia</addr-line></aff><contrib-group><contrib contrib-type="editor"><name name-style="western"><surname>Papa</surname><given-names initials="R">Roberto</given-names></name><role>Editor</role><xref ref-type="aff" rid="edit1"/></contrib></contrib-group><aff id="edit1"><addr-line>Università Politecnica delle Marche, ITALY</addr-line></aff><author-notes><fn fn-type="COI-statement" id="coi001"><p><bold>Competing Interests: </bold>The authors have declared that no competing interests exist.</p></fn><fn fn-type="current-aff" id="currentaff001"><label>¤</label><p>Current address: Environmental Sciences, University of Arizona, Tucson, Arizona, United States of America.</p></fn><corresp id="cor001">* E-mail: <email>kirsten.ball@email.arizona.edu</email></corresp></author-notes><pub-date pub-type="epub"><day>7</day><month>10</month><year>2020</year></pub-date><pub-date pub-type="collection"><year>2020</year></pub-date><volume>15</volume><issue>10</issue><issue-id pub-id-type="pmc-issue-id">366205</issue-id><elocation-id>e0239673</elocation-id><history><date date-type="received"><day>8</day><month>7</month><year>2020</year></date><date date-type="accepted"><day>10</day><month>9</month><year>2020</year></date></history><pub-history><event event-type="pmc-release"><date><day>07</day><month>10</month><year>2020</year></date></event><event event-type="pmc-live"><date><day>19</day><month>10</month><year>2020</year></date></event><event event-type="pmc-last-change"><date iso-8601-date="2024-11-01 05:25:16.480"><day>01</day><month>11</month><year>2024</year></date></event></pub-history><permissions><copyright-statement>© 2020 Ball et al</copyright-statement><copyright-year>2020</copyright-year><copyright-holder>Ball et al</copyright-holder><license xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://creativecommons.org/licenses/by/4.0/"><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/" specific-use="textmining" content-type="ccbylicense">https://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pmc-pdf" xlink:href="pone.0239673.pdf"><?pdf-name pone.0239673.pdf?><?pdf-size 1429636?><?pdf-md5 6db99972288158692d786e7699d71a85?><?pdf-image-server-status NEVER_LOAD?><?pdf-cloudpmc-urn urn:app:69c2/7540849/6db999722881/pone.0239673.pdf?></self-uri><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="pone.0239673.pdf"/><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="editor-report" ext-link-type="doi" xlink:href="10.1371/journal.pone.0239673"><pub-id pub-id-type="doi">10.1371/journal.pone.0239673</pub-id></related-article><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="reviewed-article" ext-link-type="doi" xlink:href="10.1371/journal.pone.0239673"><pub-id pub-id-type="doi">10.1371/journal.pone.0239673</pub-id></related-article><abstract><p>This study used high throughput, image-based phenotyping (HTP) to distinguish growth patterns, detect facilitation and interpret variations to nutrient uptake in a model mixed-pasture system in response to factorial low and high nitrogen (N) and phosphorus (P) application. HTP has not previously been used to examine pasture species in mixture. We used red-green-blue (RGB) imaging to obtain smoothed projected shoot area (sPSA) to predict absolute growth (AG) up to 70 days after planting (sPSA, DAP 70), to identify variation in relative growth rates (RGR, DAP 35–70) and detect overyielding (an increase in yield in mixture compared with monoculture, indicating facilitation) in a grass-legume model pasture. Finally, using principal components analysis we interpreted between species changes to HTP-derived temporal growth dynamics and nutrient uptake in mixtures and monocultures. Overyielding was detected in all treatments and was driven by both grass and legume. Our data supported expectations of more rapid grass growth and augmented nutrient uptake in the presence of a legume. Legumes grew more slowly in mixture and where growth became more reliant on soil P. Relative growth rate in grass was strongly associated with shoot N concentration, whereas legume RGR was not strongly associated with shoot nutrients. High throughput, image-based phenotyping was a useful tool to quantify growth trait variation between contrasting species and to this end is highly useful in understanding nutrient-yield relationships in mixed pasture cultivations.</p></abstract><funding-group><funding-statement>The Australian Plant Phenomics Facility received grant funding from the Australian Government through the National Collaborative Research Infrastructure Strategy (NCRIS). KB received a Postgraduate Internship Award from the Australian Plant Phenomics Facility towards the completion of this project”.</funding-statement></funding-group><counts><fig-count count="5"/><table-count count="3"/><page-count count="18"/></counts><custom-meta-group><custom-meta><meta-name>pmc-status-qastatus</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>pmc-status-live</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-status-embargo</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-status-released</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-open-access</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-olf</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-manuscript</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-legally-suppressed</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-has-pdf</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-has-supplement</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-pdf-only</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-suppress-copyright</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-is-real-version</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-is-scanned-article</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-preprint</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-in-epmc</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-license-ref</meta-name><meta-value>CC BY</meta-value></custom-meta><custom-meta id="data-availability"><meta-name>Data Availability</meta-name><meta-value>Data are available via Figshare. DOI: (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="http://dx.doi.org/10.25909/12895121">10.25909/12895121</ext-link>).</meta-value></custom-meta></custom-meta-group></article-meta><notes><title>Data Availability</title><p>Data are available via Figshare. DOI: (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="http://dx.doi.org/10.25909/12895121">10.25909/12895121</ext-link>).</p></notes></front><body><sec sec-type="intro" id="sec001"><title>Introduction</title><p>Farm management plays a crucial role in global food security as it affects food production and the environmental impacts of agricultural practices [<xref rid="pone.0239673.ref001" ref-type="bibr">1</xref>]. Generally, fertilisation increases crop yield; however, mineral fertilisers are costly and can have detrimental effects on the wider environment [<xref rid="pone.0239673.ref002" ref-type="bibr">2</xref>]. Nitrogen (N) fertilisation can accelerate soil carbon turnover and gaseous emissions [<xref rid="pone.0239673.ref003" ref-type="bibr">3</xref>, <xref rid="pone.0239673.ref004" ref-type="bibr">4</xref>], and assuming zero growth in agricultural production, world rock phosphate (P) reserves are only expected to last approximately 260 years [<xref rid="pone.0239673.ref005" ref-type="bibr">5</xref>]. As global grain demand is projected to increase by around 50% in the next 30 years, environmental impacts from fertiliser applications will become unsustainable, highlighting the need to improve agricultural nutrient use efficiency [<xref rid="pone.0239673.ref001" ref-type="bibr">1</xref>, <xref rid="pone.0239673.ref005" ref-type="bibr">5</xref>–<xref rid="pone.0239673.ref007" ref-type="bibr">7</xref>].</p><p>Optimising crop growth under nutrient application can be achieved <italic toggle="yes">via</italic> several different practices. These include preferential planting of ‘environmentally appropriate’ species [<xref rid="pone.0239673.ref008" ref-type="bibr">8</xref>], precision nutrient application to match plant demand [<xref rid="pone.0239673.ref009" ref-type="bibr">9</xref>], genetic engineering [<xref rid="pone.0239673.ref010" ref-type="bibr">10</xref>] and intercropping of complementary species [<xref rid="pone.0239673.ref011" ref-type="bibr">11</xref>]. Plants have two overarching growth strategies in response to N and P availability: (i) increasing nutrient uptake and directing them towards greater or more rapid growth, or (ii) conserving and storing nutrients and slowing or maintaining growth-rate [<xref rid="pone.0239673.ref012" ref-type="bibr">12</xref>, <xref rid="pone.0239673.ref013" ref-type="bibr">13</xref>]. Plant growth strategies involve trade-offs between increasing both productivity and resource acquisition (interpreted herein as an acquisitive growth strategy), and reducing productivity and conserving resources (interpreted herein as a conservative growth strategy) [<xref rid="pone.0239673.ref012" ref-type="bibr">12</xref>]. Grasses require substantial amounts of mineral N, mainly owing to rapid growth rates and a lengthy growing season [<xref rid="pone.0239673.ref014" ref-type="bibr">14</xref>], and legumes are slower growing and less reliant on mineral fertilisers [<xref rid="pone.0239673.ref015" ref-type="bibr">15</xref>, <xref rid="pone.0239673.ref016" ref-type="bibr">16</xref>]. Legumes can provide N to other species <italic toggle="yes">via</italic> a symbiotic relationship with nitrogen fixing bacteria but require moderately high levels of P to support biological nitrogen fixation (BNF) [<xref rid="pone.0239673.ref017" ref-type="bibr">17</xref>, <xref rid="pone.0239673.ref018" ref-type="bibr">18</xref>]. Ultimately, plant growth strategies will determine growth rates, nutrient requirements and interactions with other plants [<xref rid="pone.0239673.ref012" ref-type="bibr">12</xref>], and species growth strategies drive variations to primary productivity in agricultural systems [<xref rid="pone.0239673.ref019" ref-type="bibr">19</xref>].</p><p>Interspecific interactions between plants can be <italic toggle="yes">negative</italic>, in the case of competition for resources [<xref rid="pone.0239673.ref020" ref-type="bibr">20</xref>], <italic toggle="yes">neutral</italic>, where complementarity ensures that species do not compete for the same resources [<xref rid="pone.0239673.ref011" ref-type="bibr">11</xref>], and <italic toggle="yes">positive</italic>, where facilitation leads to higher performance of a species when grown in mixture than in monoculture [<xref rid="pone.0239673.ref021" ref-type="bibr">21</xref>]. In mixed species pastures, niche complementarity and facilitative relationships can be beneficial. If facilitation is occurring, the total production of a species is likely to be significantly greater in a mixture than its average production in a monoculture—referred to as “overyielding” [<xref rid="pone.0239673.ref022" ref-type="bibr">22</xref>–<xref rid="pone.0239673.ref024" ref-type="bibr">24</xref>]. Mechanisms behind overyielding have been attributed to belowground processes such as enhanced mobilisation of soil nutrients [<xref rid="pone.0239673.ref025" ref-type="bibr">25</xref>] and aboveground interactions including microclimate improvement and light partitioning [<xref rid="pone.0239673.ref026" ref-type="bibr">26</xref>]. Measurements of overyielding combined with examinations of temporal plant growth dynamics can assist us to determine how net primary productivity is likely to vary under particular environmental conditions [<xref rid="pone.0239673.ref027" ref-type="bibr">27</xref>, <xref rid="pone.0239673.ref028" ref-type="bibr">28</xref>]. The most traditional assessment of plant growth–absolute growth (AG)—reports the total increase in biomass per unit of time and is usually obtained using final harvest weights [<xref rid="pone.0239673.ref029" ref-type="bibr">29</xref>]. Relative growth rate (RGR), a lesser used but potentially more informative assessment of growth, describes the increase in size relative to the size of the plant at the beginning of a time interval [<xref rid="pone.0239673.ref029" ref-type="bibr">29</xref>]. RGR is strongly determined by a plants metabolic requirement for N and P [<xref rid="pone.0239673.ref030" ref-type="bibr">30</xref>], and hence analyses of growth rate diversity in pasture mixtures can assist in detecting potential for nutrient competition or assessing facilitation.</p><p>Calculating growth dynamics can be labour- and cost-intensive and often impractical when reliant on destructive harvest techniques [<xref rid="pone.0239673.ref031" ref-type="bibr">31</xref>, <xref rid="pone.0239673.ref032" ref-type="bibr">32</xref>]. Additionally, calculations of relative growth obtained from weight and height measurements of different species may introduce bias and inaccurate comparison [<xref rid="pone.0239673.ref033" ref-type="bibr">33</xref>, <xref rid="pone.0239673.ref034" ref-type="bibr">34</xref>]. The recent emergence of high throughput (HT) imaging techniques that allow rapid temporal assessment of plant phenotype by environment interactions, and are scalable to the farm scale, are contributing significantly to relieving this research bottleneck [<xref rid="pone.0239673.ref035" ref-type="bibr">35</xref>, <xref rid="pone.0239673.ref036" ref-type="bibr">36</xref>]. High throughput phenotyping (HTP) is an automated technique providing quantification of plant traits without the need for destructive harvest [<xref rid="pone.0239673.ref037" ref-type="bibr">37</xref>]. In multiple-image based systems, cameras operating at different angles allow derivation of a mathematical relationship between several two-dimensional (2D) red-green-blue (RGB) images to quantify plant size [<xref rid="pone.0239673.ref038" ref-type="bibr">38</xref>]. Shoot architectural traits such as canopy biomass, density and leaf area are primarily extracted from RGB images and are used to calculate AG and RGR. Additional information can be acquired using hyperspectral imaging to calculate traits related to foliar nutrient content [<xref rid="pone.0239673.ref025" ref-type="bibr">25</xref>, <xref rid="pone.0239673.ref039" ref-type="bibr">39</xref>, <xref rid="pone.0239673.ref040" ref-type="bibr">40</xref>]. All HTP methods require calibration to improve our ability to relate image information to plant growth dynamics, in order that these datasets may be used to measure phenotypic variation in biological systems of interest [<xref rid="pone.0239673.ref025" ref-type="bibr">25</xref>].</p><p>This study used image-based HTP to 1) predict absolute and relative growth rates, and from those predictions detect facilitation in a mixed pasture cultivation; and 2) interpret variations in RGR and nutrient uptake between grass-legume cultivations under contrasting N and P inputs (factorial combination of low (L) and high (H) inputs of N and P). As the general growth strategies and responses of grass and legume species to fertilisation and intercropping are well known, we applied HTP to test the following:</p><list list-type="order"><list-item><p>RGR, AG and nutrient uptake in grasses would be primarily influenced by increased N availability owing to their rapid, nutrient acquisitive growth strategy. RGR and AG in legumes would be preferentially influenced by P availability as P is required in biological nitrogen fixation. Legumes are also expected to display a slower, more nutrient conservative growth strategy and their growth is expected to be less tightly correlated with soil and shoot nutrients.</p></list-item><list-item><p>Overyielding (greater yield in mixture compared to monoculture, indicating facilitation) would be present if N or P, but not both, were limiting. This is because P is required by legumes to support biological nitrogen fixation (BNF) and induce facilitation, and under N replete conditions grasses are expected to grow faster.</p></list-item><list-item><p>Where overyielding is occurring, because of their slow, conservative growth strategy legume RGR is expected to decline, but their shoot N and P concentrations would remain stable.</p></list-item></list></sec><sec sec-type="materials|methods" id="sec002"><title>Materials and methods</title><sec id="sec003"><title>Experimental design and species</title><p>Our experiment was conducted between the 24<sup>th</sup> July 2018 and 5<sup>th</sup> October 2018 at the Australian Plant Phenomics Facility at the University of Adelaide (-34.971298, 138.639627) in a Lemnatec Imaging System, during which time we obtained plant images on 43 consecutive days. The experiment investigated the effects of four fertiliser treatments derived by factorial combination of two levels of nitrogen (LN and HN) and two levels of phosphorus (LP and HP) on one grass (<italic toggle="yes">Phalaris aquatica</italic>) and one legume (<italic toggle="yes">Trifolium vesiculosum</italic>) pasture species grown in monoculture and mixture. The twelve treatments were arranged in a latinized, resolved incomplete-block design with ten replicates, for a total of 120 pots. The two Australian pasture cultivars, Holdfast GT (<italic toggle="yes">P</italic>. <italic toggle="yes">aquatica</italic>) and Cefalu (<italic toggle="yes">T</italic>. <italic toggle="yes">vesiculosum</italic>), were chosen as they have a similar upright growth form, are both winter and early spring active and are suited to a wide range of sandy clay loam soils. Seeds were obtained from Heritage Seeds Australia, along with the appropriate group C rhizobial inoculant required for <italic toggle="yes">T</italic>. <italic toggle="yes">vesiculosum</italic>. The experimental design was obtained using CycDesigN [<xref rid="pone.0239673.ref041" ref-type="bibr">41</xref>] and randomized using the dae package in R [<xref rid="pone.0239673.ref042" ref-type="bibr">42</xref>, <xref rid="pone.0239673.ref043" ref-type="bibr">43</xref>] (<xref ref-type="fig" rid="pone.0239673.g001">Fig 1</xref>).</p><fig id="pone.0239673.g001" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.g001</object-id><label>Fig 1</label><caption><title>Main experimental design.</title><p>Within each replicate (indicated by the solid red box) the four nutrient combinations (LNLP, HNHP, HNLP and LNHP) were assigned to 4 main units arranged in a grid according to the experimental design. The three species combinations [grass only (Gra), legume only (Leg) and mixture (Gra Leg)] were randomized to the three consecutive pots within each main unit. Coloured blocks indicate 1 pot containing two halves.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" position="float" orientation="portrait" xlink:href="pone.0239673.g001.jpg"><?image-name pone.0239673.g001.jpg?><?image-size 237312?><?image-md5 304cd8697c58289344d457a9b4c0bafe?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 902?><?image-original-width 1111?><?image-scaled-height 601?><?image-scaled-width 740?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/304cd8697c58/pone.0239673.g001.jpg?><?thumb-name pone.0239673.g001.gif?><?thumb-size 18691?><?thumb-md5 f65e7fcae988e69c7f358a84329590dd?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 81?><?thumb-scaled-width 100?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/f65e7fcae988/pone.0239673.g001.gif?></graphic></fig></sec><sec id="sec004"><title>Growing conditions</title><p>We used pasteurized, unfertilised potting mixture consisting of pre-mixed (0.33:0.33:0.33 by volume) sand, clay loam and coco peat at pH 6.3. Three kg (dry weight) of soil was potted into 198 mm diameter x 149 mm high (4587 cm<sup>3</sup>) drainage-drilled pots, each seated on a 200 mm round dish ensuring no water or nutrient loss occurred from the system. Eight seeds were planted in each pot (Day after planting; DAP 0), with two seedlings on each half of the pot after thinning (DAP 16). In mixtures, one half comprised grass while the other half comprised legume. The plants were physically separated aboveground by a white plastic divider, set 5 cm into the soil and oriented north–south on the conveyor system in the greenhouse for consistency with respect to imaging orientation and solar exposure. The divider allowed intermingling of roots belowground (<xref ref-type="fig" rid="pone.0239673.g002">Fig 2</xref>).</p><fig id="pone.0239673.g002" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.g002</object-id><label>Fig 2</label><caption><title>Pot-level separation of plant biomass and experimental design to improve image differentiation.</title><p><bold>a)</bold> Cart layout and pot level separation using above-ground dividers (DAP 35); <bold>b)</bold> digitally enhanced RGB image (top view) of a mixed-species pot, showing centre divider (white), grass (natural green colour, right; eastern half of pot) and legume (orange highlights, left; western half of pot); <bold>c)</bold> oblique view of a mixed-species pot at final harvest (DAP 70) with centre divider removed; <bold>d)</bold> digitally processed RGB image (side view) of a mixed-species pot, showing only the grass component in the eastern half (artificial green; superimposed white lines correspond to the enclosing wire frame, which was painted blue for maximum visual contrast).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" position="float" orientation="portrait" xlink:href="pone.0239673.g002.jpg"><?image-name pone.0239673.g002.jpg?><?image-size 149982?><?image-md5 9e0f0c8189f829c5973abdd6e4254c1b?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 881?><?image-original-width 1000?><?image-scaled-height 587?><?image-scaled-width 666?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/9e0f0c8189f8/pone.0239673.g002.jpg?><?thumb-name pone.0239673.g002.gif?><?thumb-size 18264?><?thumb-md5 0a807379bc65654812e9a77ec2374451?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 88?><?thumb-scaled-width 100?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/0a807379bc65/pone.0239673.g002.gif?></graphic></fig><p>To promote microbial activity, we added a field soil microbial wash generated from unfertilised (&gt;30 years) old-field pasture soil obtained from the Hawkesbury Forest Experiment in Richmond, NSW (-33.611672, 150.740172). Briefly, 1 g of field soil was mixed with 100 ml of DI water and molasses in a ratio of 100:1 (ml) with the recommended amount of Group C rhizobial inoculant to obtain ~ 3,000,000 rhizobia. The 100 ml of microbial wash was added to every experimental pot on DAP 16 after the seedlings had established. Effective nodulation and belowground biomass were assessed on DAP 35 prior to fertilization in non-experimental pots (n = 6) and both were considered adequate to assert that the inoculation was successful [<xref rid="pone.0239673.ref044" ref-type="bibr">44</xref>, <xref rid="pone.0239673.ref045" ref-type="bibr">45</xref>] and intermingling of roots was occurring. Ongoing, plants were watered once daily, and soil water content was maintained at field capacity (22% (w/w) gravimetric water content) by watering to weight. Commencing DAP 29, weighing and watering-to-weight was incorporated into the imaging sessions. Twice-daily watering was performed near the end of the experiment (DAP 66–69), when water consumption was high. The greenhouse maintained average temperatures of 27°C/16°C on a day/night cycle and an average day length between 07:00–19:00 under natural light conditions for a total of 70 days.</p></sec><sec id="sec005"><title>Fertilisation treatments</title><p>Nitrogen (N) and phosphorus (P) were prepared in DI water in the forms of ammonium nitrate (NH<sub>4</sub>NO<sub>3</sub>) and a pH 6.3 balanced mixture of disodium phosphate (Na<sub>2</sub>HPO<sub>4</sub>) and sodium dihydrogen phosphate (NaH<sub>2</sub>PO<sub>4</sub>). Nutrients were added on a dry-weight, mg kg<sup>-1</sup> of soil basis. The low N-low P (LNLP) treatment nutrients (33 mg N, and 11 mg P, N:P ratio; 3:1) were added to all pots prior to imaging on DAP 16. On DAP 35, nutrients were added to increase the total amount of N and/or P to desired treatment levels. In total, for the high N-high P (HNHP) treatment, we added 99 mg N and 33 mg P (N:P ratio 3:1). For the HNLP treatment, we added 99 mg N and 11 mg P (N:P ratio 9:1). For the LNHP treatment, (33 mg N and 33 mg P, N:P ratio; 1:1). All pots received other macro- and micronutrients at the following rates (mg kg<sup>-1</sup> dry soil): K<sub>2</sub>SO<sub>4</sub>, (75); CaCl<sub>2</sub> 2H<sub>2</sub>O, (75); MgSO<sub>4</sub> 7H<sub>2</sub>O, (45); CuSO<sub>4</sub> 5H<sub>2</sub>O, (2.1); ZnSO<sub>4</sub> 7H<sub>2</sub>O, (5.4); MnSO<sub>4</sub> H<sub>2</sub>O, (6.4); CoCl<sub>2</sub> 6H<sub>2</sub>O, (0.33); Na<sub>2</sub>MoO<sub>4</sub> 2H<sub>2</sub>O, (0.18); H<sub>3</sub>BO<sub>3</sub>, 0.3 and FeEDTA, (0.4). Plant available macronutrients measured in plant-free pots are detailed in <xref ref-type="supplementary-material" rid="pone.0239673.s001">S1 File</xref>.</p></sec><sec id="sec006"><title>Biomass harvest</title><p>On DAP 70, all above ground shoot biomass (AGB) was harvested and soil samples collected at the pot level to determine total AGB, shoot nutrient concentrations and soil extractable nutrients (N and P). AGB was assessed by carefully separating the plants between the two sides of the pot and cutting at soil level to separate from belowground biomass. AGB was dried at 70°C and weighed and the reported AGB is the total weight of the two individual plants from each side of the pot, here forward referred to as “half-pot”. Where “whole-pot” values are reported, this represents the total dry weight of all plant biomass within one pot. All plants were deemed viable for harvest, except a single pot in the grass only LNLP treatment which did not survive. Clerical error was suspected for one half-pot dry-weight observation in the LNLP grass monoculture and LNHP grass monoculture and these observations were removed from analysis. The final dataset included n = 236 useable half-pot observations. All nutrient analysis observations for these replicates were also removed.</p></sec><sec id="sec007"><title>Soil and shoot nutrient analyses</title><p>Soil samples were extracted within 12 h of biomass harvest. Extractable N in soil was determined by shaking 40 ml of 2 M potassium chloride (KCl) solution with 4.0 g soil (&lt; 2 mm) at 170 rpm for 1 hour and then filtering through a 2.5 μm ashless filter (Grade 42, Whatman PLC, Kent, U.K). Extractable P was determined by mixing 4 g soil in 40 ml of 0.5 M NaHCO<sub>3</sub> and shaking for 16 hours [<xref rid="pone.0239673.ref046" ref-type="bibr">46</xref>]. Soil extracts were stored at -20°C until colorimetric analysis in a discrete analyser (AQ2, SEAL Analytical, Ltd., Milwaukee, WI USA and EPA135 method). For total carbon (C) and N shoot nutrients, a subsample (~3 g) of AGB from each plant was finely ground and homogenised with an MM 400 mixer mill (Retsch, GmbH, Haan, Germany) and an approximately 5 mg subsample was taken for combustion analysis. C and N concentrations were estimated using an Elementar Vario El Cube Carbon/Nitrogen analyser (Elementar Analysersysteme GmbH, Langenselbold, Germany). Phosphorus concentration of foliar samples was obtained after digesting approximately 55 mg of plant material in concentrated H<sub>2</sub>SO<sub>4</sub> and H<sub>2</sub>O<sub>2</sub> in a microwave digester, and colorimetric analysis following an ammonium molybdate reaction [<xref rid="pone.0239673.ref047" ref-type="bibr">47</xref>]. Measurement error was suspected in two replicates for total C, N and P; one in the HNLP legume monoculture and one in the LNHP grass monoculture and were removed from the analysis.</p></sec><sec id="sec008"><title>Imaging</title><p>Each pot was individually imaged daily using four different cameras, comprising one top view camera and three side view cameras at different angles. Of the four images obtained, three (top view and two side views) were used for image analysis and estimation of projected shoot area (PSA). These images had the right orientation to separate the images along the midline, enabling a separation of the two halves of the pot along the plastic divider (<xref ref-type="fig" rid="pone.0239673.g002">Fig 2</xref>). LemnaGrid software (LemnaTec GmbH, Aachen, Germany) was used to separate the images into two halves and measure the pixels corresponding to plants in each half. For this, a nearest neighbor colour classification was used to separate foreground and background, followed by noise removal steps. It was decided not to exclude any imaging data as outliers for analysis purposes.</p></sec><sec id="sec009"><title>Data processing and growth calculations from image-based data</title><p>Image-based data were processed using the multi-step method of smoothing and extraction of traits (SET) described by [<xref rid="pone.0239673.ref048" ref-type="bibr">48</xref>] with the aid of growthPheno [<xref rid="pone.0239673.ref049" ref-type="bibr">49</xref>], an R package [<xref rid="pone.0239673.ref043" ref-type="bibr">43</xref>]. Firstly, the half-pot projected shoot area (PSA) was defined as the sum of plant pixels visible in the three half-images in each half-pot on each imaging day, yielding <italic toggle="yes">n</italic> = 240 observations per day. The whole-pot projected shoot area (PSA) was defined as the sum of plant pixels visible in the six half-images in each whole-pot on each imaging day, yielding <italic toggle="yes">n</italic> = 120 observations per day. In this paper, the whole-pot data was only used to compare between measured AGB <italic toggle="yes">vs</italic> PSA predicted values. The raw PSA (kpixels) data exhibited a high degree of day-to-day variation and so the next step was to smooth the PSA data to produce what is herein referred to as sPSA; natural cubic smoothing splines with df set to 5 were used (moderate smoothing) [<xref rid="pone.0239673.ref050" ref-type="bibr">50</xref>]. Thirdly, the time points DAP 35, 40, 50, 60 and 70 were chosen for further analysis based on changes in growth pattern observed from sPSA plots. Only measurements taken after application of nutrients (DAP 35–70) are presented. Finally, RGR (day<sup>-1</sup>) was calculated for the intervals between successive pairs of time points using <xref ref-type="disp-formula" rid="pone.0239673.e001">Eq 1</xref>:
<disp-formula id="pone.0239673.e001"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e001g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e001.jpg"><?image-name pone.0239673.e001.jpg?><?image-size 24448?><?image-md5 b22b48f24e5a1b5feb3d21db4896443f?><?image-image-server-status NEVER_LOAD?><?image-original-height 19?><?image-original-width 250?><?image-scaled-height 19?><?image-scaled-width 250?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/b22b48f24e5a/pone.0239673.e001.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mtext>RGR</mml:mtext><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mspace width="2pt"/><mml:mo>=</mml:mo><mml:mspace width="2pt"/><mml:mtext>log</mml:mtext><mml:mo>[</mml:mo><mml:mrow><mml:mtext>sPSA</mml:mtext><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mspace width="2pt"/><mml:mo>/</mml:mo><mml:mspace width="2pt"/><mml:mtext>sPSA</mml:mtext><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></alternatives><label>(1)</label></disp-formula>
where <italic toggle="yes">t</italic><sub>1</sub>
<italic toggle="yes">and t</italic><sub>2</sub> are the DAPs defining an interval.</p><p>We calculated image-derived AG and overyield from sPSA on DAP 70 and related these values to DAP 70 harvested AGB using correlation analyses.</p></sec><sec id="sec010"><title>Correlations of image-based biomass estimates to harvested aboveground biomass</title><p>We used the ‘lm’ function from Base R [<xref rid="pone.0239673.ref043" ref-type="bibr">43</xref>] to obtain correlation coefficients between our absolute growth values (sPSA DAP 70) and harvested dry weight biomass (AGB) in grams. All model assumptions of normality and homoscedasticity were met.</p></sec><sec id="sec011"><title>Statistical analysis of growth and nutrient concentrations</title><p>To obtain growth predictions from the image-based data, and to compare shoot nutrient concentrations between treatments a mixed-model analysis was performed using the R package ASReml-R [<xref rid="pone.0239673.ref051" ref-type="bibr">51</xref>] and asremlPlus [<xref rid="pone.0239673.ref052" ref-type="bibr">52</xref>] packages for the R statistical computing environment [<xref rid="pone.0239673.ref046" ref-type="bibr">46</xref>]. We analysed the half-pot responses based on a maximal mixed model including terms for the treatment differences, spatial effects and residual error variation. The model was of the following form;
<disp-formula id="pone.0239673.e002"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e002g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e002.jpg"><?image-name pone.0239673.e002.jpg?><?image-size 22280?><?image-md5 6e768ea49e644d9a5ae7f38e303f3b69?><?image-image-server-status NEVER_LOAD?><?image-original-height 18?><?image-original-width 118?><?image-scaled-height 18?><?image-scaled-width 118?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/6e768ea49e64/pone.0239673.e002.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi mathvariant="bold">y</mml:mi><mml:mspace width="2pt"/><mml:mo>=</mml:mo><mml:mspace width="2pt"/><mml:mi mathvariant="bold">X</mml:mi><mml:mi mathvariant="bold">β</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">Z</mml:mi><mml:mi mathvariant="bold">u</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">e</mml:mi></mml:math></alternatives></disp-formula>
where <bold>y</bold> is the response vector of values for the trait being analysed; <bold>β</bold> is the vector of fixed effects; <bold>u</bold> is the vector of random effects; and <bold>e</bold> is the vector of residual effects. <bold>X</bold> and <bold>Z</bold> are the design matrices corresponding to <bold>β</bold> and <bold>u</bold> respectively. The fixed-effect vector <bold>β</bold> was partitioned as
<disp-formula id="pone.0239673.e003"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e003g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e003.jpg"><?image-name pone.0239673.e003.jpg?><?image-size 24392?><?image-md5 4f5cad2035b2161415acd80072001079?><?image-image-server-status NEVER_LOAD?><?image-original-height 24?><?image-original-width 203?><?image-scaled-height 24?><?image-scaled-width 203?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/4f5cad2035b2/pone.0239673.e003.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:msup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msup><mml:mspace width="2pt"/><mml:mo>=</mml:mo><mml:mspace width="2pt"/><mml:mo>[</mml:mo><mml:mrow><mml:mtable><mml:mtr><mml:mtd><mml:mi>μ</mml:mi><mml:mo> </mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup><mml:mo> </mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup><mml:mo> </mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup><mml:mo> </mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup><mml:mo> </mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup><mml:mo> </mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo>]</mml:mo></mml:math></alternatives></disp-formula>
where <italic toggle="yes">μ</italic> is the overall mean and the first three <bold>β</bold> subvectors correspond to the effects of replicates (R), greenhouse sides (Si, east or west) and pot halves (H, east or west) that capture systematic spatial variation within the greenhouse; <inline-formula id="pone.0239673.e004"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e004g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e004.jpg"><?image-name pone.0239673.e004.jpg?><?image-size 20893?><?image-md5 81364a4fde711acf4accfd64f2a3ccd9?><?image-image-server-status NEVER_LOAD?><?image-original-height 24?><?image-original-width 22?><?image-scaled-height 24?><?image-scaled-width 22?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/81364a4fde71/pone.0239673.e004.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup></mml:math></alternatives></inline-formula> incorporates the two species main effects; <inline-formula id="pone.0239673.e005"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e005g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e005.jpg"><?image-name pone.0239673.e005.jpg?><?image-size 20805?><?image-md5 b568a5ba1848044900dee6bd83674861?><?image-image-server-status NEVER_LOAD?><?image-original-height 22?><?image-original-width 19?><?image-scaled-height 22?><?image-scaled-width 19?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/b568a5ba1848/pone.0239673.e005.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup></mml:math></alternatives></inline-formula> contains parameters for the 3 main effects, the 3 two-factor interactions and the three-factor interaction of the factors cultivation type, nitrogen and phosphorus for the grass (G) species; and <inline-formula id="pone.0239673.e006"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e006g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e006.jpg"><?image-name pone.0239673.e006.jpg?><?image-size 20733?><?image-md5 f8045399197e8b81a01b63b54fa0f4b1?><?image-image-server-status NEVER_LOAD?><?image-original-height 21?><?image-original-width 19?><?image-scaled-height 21?><?image-scaled-width 19?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/f8045399197e/pone.0239673.e006.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:msubsup><mml:mrow><mml:mi mathvariant="bold">β</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi></mml:mrow><mml:mrow><mml:mi>⊤</mml:mi></mml:mrow></mml:msubsup></mml:math></alternatives></inline-formula> contains the same parameters for the legume (L) species. The random-effects vector <bold>u</bold> was partitioned as [<bold>u</bold><sub>R:M</sub><bold>u</bold><sub>R:M:P</sub>]where <bold>u</bold><sub>R:M</sub> is the vector of main-unit (M) random effects within each replicate (R) and <bold>u</bold><sub>R:M:P</sub> is the vector of random effects for pots (P) within each main-unit (M); these vectors captured any non-trend spatial variation. The residuals <bold>e</bold> were assumed to be normally distributed with their variance allowed to vary with both species and nitrogen. If the data <bold>y</bold> are ordered by species (labels G and L) followed by fertiliser level (labels L and H) and then observations with the combinations of species and fertiliser level, then the residuals are modelled as:
<disp-formula id="pone.0239673.e007"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e007g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e007.jpg"><?image-name pone.0239673.e007.jpg?><?image-size 31509?><?image-md5 f7759cae63039ba6c5e6ed029ea51802?><?image-image-server-status NEVER_LOAD?><?image-original-height 98?><?image-original-width 306?><?image-scaled-height 98?><?image-scaled-width 306?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/f7759cae6303/pone.0239673.e007.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M7"><mml:mi mathvariant="normal">N</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>240</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>[</mml:mo><mml:mrow><mml:mtable columnalign="right"><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi mathvariant="bold">I</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi mathvariant="bold">I</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi mathvariant="bold">I</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msub><mml:mrow><mml:mn mathvariant="bold">0</mml:mn></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd><mml:mtd><mml:msubsup><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">L</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi mathvariant="bold">I</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:math></alternatives></disp-formula>
where <bold>I</bold><sub>60</sub> and <bold>0</bold><sub>60</sub> denote identity and zero matrices respectively. For each trait, residual likelihood ratio tests with <italic toggle="yes">α</italic> = 0.05 were used to determine whether the variance model can be simplified by removal of the nitrogen level variance difference and/or species variance difference. The model was modified to reflect the results of these tests and residual-versus-fitted values plots and normal probability plots confirmed that model assumptions were met. Wald F-tests with <italic toggle="yes">α</italic> = 0.05 were conducted for the fixed effects within each species to determine a model for describing how cultivation, nitrogen and phosphorus affect the response for each species. Testing began with the three-factor interaction for a species and, only if it was not significant, proceeded to test the two-factor interactions; the main effects were only tested if that factor had not occurred in a significant interaction. Thus, the estimated marginal means (Lenth et al., 2019), the means for the selected model, were obtained using the R packages ASReml-R [<xref rid="pone.0239673.ref051" ref-type="bibr">51</xref>] and asremlPlus [<xref rid="pone.0239673.ref052" ref-type="bibr">52</xref>].</p></sec><sec id="sec012"><title>Calculating overyielding from sPSA DAP 70 values</title><p>Overyielding calculations in mixtures were conducted using methods described by [<xref rid="pone.0239673.ref022" ref-type="bibr">22</xref>, <xref rid="pone.0239673.ref024" ref-type="bibr">24</xref>]. All assumptions including ensuring consistent planting densities and the allowance of sufficient time for below-ground community interactions to develop, were met [<xref rid="pone.0239673.ref053" ref-type="bibr">53</xref>]. Using our absolute growth (sPSA DAP 70) values we obtained relative yield totals (RYT, <xref ref-type="disp-formula" rid="pone.0239673.e008">Eq 2</xref>) for each treatment from the sum of the relative yield (RY) of each species (<italic toggle="yes">i</italic>):
<disp-formula id="pone.0239673.e008"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e008g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e008.jpg"><?image-name pone.0239673.e008.jpg?><?image-size 22793?><?image-md5 73d6183aede8d955dd721886013b88c9?><?image-image-server-status NEVER_LOAD?><?image-original-height 27?><?image-original-width 120?><?image-scaled-height 27?><?image-scaled-width 120?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/73d6183aede8/pone.0239673.e008.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M8"><mml:mrow><mml:mtext>RYT</mml:mtext><mml:mo>=</mml:mo><mml:mspace width="2pt"/><mml:mstyle displaystyle="true"><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>s</mml:mi></mml:msubsup><mml:mrow><mml:mi>R</mml:mi><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:mstyle></mml:mrow></mml:math></alternatives><label>(2)</label></disp-formula>
where <italic toggle="yes">s</italic> is the number of species <italic toggle="yes">i</italic> and RY is
<disp-formula id="pone.0239673.e009"><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.e009g" mimetype="image" position="anchor" orientation="portrait" xlink:href="pone.0239673.e009.jpg"><?image-name pone.0239673.e009.jpg?><?image-size 22511?><?image-md5 595dc5869aa2eb2f01535f8d1eaa98e0?><?image-image-server-status NEVER_LOAD?><?image-original-height 35?><?image-original-width 89?><?image-scaled-height 35?><?image-scaled-width 89?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/595dc5869aa2/pone.0239673.e009.jpg?></graphic><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M9"><mml:mi>R</mml:mi><mml:mi>Y</mml:mi><mml:mi>i</mml:mi><mml:mspace width="2pt"/><mml:mo>=</mml:mo><mml:mspace width="2pt"/><mml:mfrac><mml:mrow><mml:mi>Y</mml:mi><mml:mi>m</mml:mi><mml:mi>i</mml:mi><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>Y</mml:mi><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:mfrac></mml:math></alternatives></disp-formula>
where <italic toggle="yes">Ymix</italic> is the observed yield of species <italic toggle="yes">i</italic> in mixture and <italic toggle="yes">Ymon</italic> is the observed yield of species <italic toggle="yes">i</italic> in monoculture expressed as a ratio (Y<sub>gra(Mix)</sub>:Y<sub>gra</sub> and Y<sub>leg(Mix)</sub>:Y<sub>leg</sub>). Ratios that contribute to the analysis of overyielding: Y<sub>gra</sub>:Y<sub>leg</sub> yield of grass vs legume in monoculture; Y<sub>gra(Mix)</sub>:Y<sub>leg(Mix)</sub> yield of grass vs legume in mixture; Y<sub>gra,leg</sub>:Ŷ<sub>gra,leg</sub> total yield in mixed cultivation compared with expected cumulative yield of constituent species according to monocultures; Y<sub>gra(Mix)</sub>:Y<sub>gra</sub> yield of grass in mixture vs monoculture (RYT); Y<sub>leg(Mix)</sub>:Y<sub>leg</sub> yield of legume in mixture vs monoculture (RYT). Where overyield was detected from calculations, we determined the response to be statistically significant where the mixed model results revealed that the factor ‘cultivation’ significantly influenced species yield (sPSA DAP 70), and we obtained multiple comparisons using the ‘emmeans’ package [<xref rid="pone.0239673.ref054" ref-type="bibr">54</xref>] within R [<xref rid="pone.0239673.ref043" ref-type="bibr">43</xref>].</p></sec><sec id="sec013"><title>The relationship between species-specific growth rates and nutrient uptake</title><p>Principal components analysis (PCA) using “prcomp” with varimax rotation in R [<xref rid="pone.0239673.ref043" ref-type="bibr">43</xref>] was conducted to examine relationships between our image-derived growth (RGR) and DAP 70 nutrient parameters (Soil extractable N and P and shoot N and P concentrations). Assumptions of sampling independence, normality, linear relationships between variable pairs and moderate correlations were confirmed. The optimal number of explanatory factors from each PCA was chosen based on eigenvalues greater than 1 [<xref rid="pone.0239673.ref055" ref-type="bibr">55</xref>]. Varimax rotation was applied so that information explained by one factor was independent of information in the other factors to achieve simple structure [<xref rid="pone.0239673.ref056" ref-type="bibr">56</xref>], and loadings &lt;0.30 were not considered significant. <bold>S1 Table in</bold>
<xref ref-type="supplementary-material" rid="pone.0239673.s001">S1 File</xref> details the eigenvalues and varimax loadings for all our principal components analyses.</p></sec></sec><sec sec-type="results" id="sec014"><title>Results</title><sec id="sec015"><title>Absolute growth (smoothed projected shoot area on DAP 70) is correlated with aboveground biomass in mixed pasture cultivations</title><p>Aboveground biomass (DAP 70) was significantly correlated with sPSA (DAP 70) at the whole pot level (r<sup>2</sup> 0.77, p&lt;0.001, n = 120) with half-pot level correlation coefficients differing between grasses (r<sup>2</sup> 0.85, p&lt;0.001, n = 239) and legumes (r<sup>2</sup> 0.67, p&lt;0.01, n = 240; <bold>S1a-S1c Fig in</bold>
<xref ref-type="supplementary-material" rid="pone.0239673.s001">S1 File</xref>). There were no differences in these relationships between plants grown in monoculture or mixture.</p></sec><sec id="sec016"><title>RGR in grasses is driven by increased N availability and by presence of legumes, and in legumes by P availability and the presence of grasses</title><p>Significant treatment effects for RGR are shown in <xref rid="pone.0239673.t001" ref-type="table">Table 1</xref>. RGR in grasses began higher than legumes and declined more rapidly, and growth ceased in grasses grown in monoculture without N after DAP 60 (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3b</xref>). Between DAP 35–40 grass in the HNHP and HNLP treatments grew most rapidly regardless of cultivation, but between DAP 40–50, grasses in mixture under the HNHP and HNLP treatments achieved the highest RGR. Between DAP 60–70 a three-way interaction (cultivation by N by P) emerged. Here, RGR in grass under N addition were comparable between cultivations, whereas under LN, grass RGR was greater in mixture. Grass RGR under LN with P addition (LNHP) was higher in mixture compared to monoculture.</p><table-wrap id="pone.0239673.t001" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.t001</object-id><label>Table 1</label><caption><title>P-values of the Wald F-statistics derived from linear mixed effects models for the main and interacting effects.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.t001g" position="float" orientation="portrait" xlink:href="pone.0239673.t001.jpg"><?image-name pone.0239673.t001.jpg?><?image-size 85748?><?image-md5 17b07b95cefb0b81cea8b5fe67f54ee3?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 1090?><?image-original-width 2256?><?image-scaled-height 363?><?image-scaled-width 752?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/17b07b95cefb/pone.0239673.t001.jpg?><?thumb-name pone.0239673.t001.gif?><?thumb-size 12167?><?thumb-md5 75f7069e4a1d8e070b1d11ee5375a937?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 80?><?thumb-scaled-width 165?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/75f7069e4a1d/pone.0239673.t001.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="center" rowspan="1" colspan="1">DAP</th><th align="center" rowspan="1" colspan="1">35–40</th><th align="center" rowspan="1" colspan="1">40–50</th><th align="center" rowspan="1" colspan="1">50–60</th><th align="center" rowspan="1" colspan="1">60–70</th></tr></thead><tbody><tr><td align="center" rowspan="1" colspan="1"><bold>Treatment</bold></td><td align="center" colspan="4" rowspan="1"><bold>RGR (kpixels day</bold><sup><bold>-1</bold></sup><bold>) Grass</bold></td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>C*N*P</bold></td><td align="char" char="." rowspan="1" colspan="1">0.443</td><td align="center" rowspan="1" colspan="1">0.783</td><td align="center" rowspan="1" colspan="1">0.517</td><td align="center" rowspan="1" colspan="1"><bold>&lt;0.001</bold></td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>C*N</bold></td><td align="char" char="." rowspan="1" colspan="1">0.127</td><td align="center" rowspan="1" colspan="1">0.183</td><td align="center" rowspan="1" colspan="1"><bold>&lt;0.001</bold></td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>C*P</bold></td><td align="char" char="." rowspan="1" colspan="1">0.704</td><td align="center" rowspan="1" colspan="1">0.354</td><td align="center" rowspan="1" colspan="1">0.715</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>N*P</bold></td><td align="char" char="." rowspan="1" colspan="1">0.163</td><td align="center" rowspan="1" colspan="1">0.063</td><td align="center" rowspan="1" colspan="1">0.46</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>Cultivation</bold></td><td align="char" char="." rowspan="1" colspan="1">0.201</td><td align="center" rowspan="1" colspan="1"><bold>&lt;0.001</bold></td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>Nitrogen</bold></td><td align="char" char="." rowspan="1" colspan="1"><bold>&lt;0.001</bold></td><td align="center" rowspan="1" colspan="1"><bold>&lt;0.001</bold></td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>Phosphorus</bold></td><td align="char" char="." rowspan="1" colspan="1">0.666</td><td align="center" rowspan="1" colspan="1">0.257</td><td align="center" rowspan="1" colspan="1">0.074</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"/><td align="center" colspan="4" rowspan="1"><bold>RGR (day</bold><sup><bold>-1</bold></sup><bold>) Legume</bold></td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>C*N*P</bold></td><td align="char" char="." rowspan="1" colspan="1">0.658</td><td align="center" rowspan="1" colspan="1">0.931</td><td align="center" rowspan="1" colspan="1"><bold>0.042</bold></td><td align="center" rowspan="1" colspan="1"><bold>0.024</bold></td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>C*N</bold></td><td align="char" char="." rowspan="1" colspan="1">0.092</td><td align="center" rowspan="1" colspan="1">0.185</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>C*P</bold></td><td align="char" char="." rowspan="1" colspan="1">0.558</td><td align="center" rowspan="1" colspan="1"><bold>0.043</bold></td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>N*P</bold></td><td align="char" char="." rowspan="1" colspan="1">0.847</td><td align="center" rowspan="1" colspan="1">0.678</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>Cultivation</bold></td><td align="char" char="." rowspan="1" colspan="1">0.168</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>Nitrogen</bold></td><td align="char" char="." rowspan="1" colspan="1"><bold>&lt;0.001</bold></td><td align="center" rowspan="1" colspan="1">0.073</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr><tr><td align="center" rowspan="1" colspan="1"><bold>Phosphorus</bold></td><td align="char" char="." rowspan="1" colspan="1">0.656</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td><td align="center" rowspan="1" colspan="1">nr</td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t001fn001"><p>Cultivation (C), nitrogen (N) and phosphorus (P) on the half-pot level trait RGR in grass and legume. Growth intervals are indicated by DAP (days after planting). Significant effects are indicated at (α = 0.05). nr indicates ‘not reported’ (suppression due to interaction effects).</p></fn></table-wrap-foot></table-wrap><fig id="pone.0239673.g003" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.g003</object-id><label>Fig 3</label><caption><title>Tables of estimated marginal means.</title><p><bold>a)</bold> Estimated marginal means for AG (sPSA DAP 70, kpixels) and <bold>b)</bold> RGR (day<sup>-1</sup>) by species (<xref ref-type="disp-formula" rid="pone.0239673.e001">Eq 1</xref>), cultivation and nutrient treatment with half-least significant difference (5%) error bars. Non-overlapping error bars indicate significant differences. Purple = LNLP, Yellow = HNHP, Green = HNLP, Blue = LNHP.</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" position="float" orientation="portrait" xlink:href="pone.0239673.g003.jpg"><?image-name pone.0239673.g003.jpg?><?image-size 126932?><?image-md5 f3b14ed7eaf9490a40fe83cad8c158ee?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 1058?><?image-original-width 1000?><?image-scaled-height 705?><?image-scaled-width 666?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/f3b14ed7eaf9/pone.0239673.g003.jpg?><?thumb-name pone.0239673.g003.gif?><?thumb-size 13044?><?thumb-md5 3140078ff6ac9239f7cc5b19a15ca009?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 106?><?thumb-scaled-width 100?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/3140078ff6ac/pone.0239673.g003.gif?></graphic></fig><p>Initial RGR in legumes (DAP 35–40) was increased by N addition (HNLP and HNHP treatments), but this effect did not persist for the remainder of the experiment (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3b</xref>). Between DAP 40–60, RGR was increased by P addition in monocultures only. Between DAP 60–70, legume RGR was unaffected by nutrient treatment in monoculture but was altered in mixture where legumes benefited most under LNHP conditions. The lowest legume RGR was associated with N and P co-limitation in the LNLP mixed treatment.</p></sec><sec id="sec017"><title>Grasses and legumes contribute to overyield in all nutrient treatments</title><p>As species in our study were separated aboveground with a divider, we discuss interspecific interactions from the standpoint that belowground interactions were occurring. Overyield (sPSA DAP 70) was present in all nutrient treatments, supporting the widely reported benefit of mixed grass-legume cultivations on total pasture growth (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3a</xref>, <xref rid="pone.0239673.t002" ref-type="table">Table 2</xref>; p&lt;0.05). The ratio Y<sub>gra,leg</sub>:Ŷ<sub>gra,leg</sub> reveals the effect of mixed cultivation on absolute growth (AG). At the whole pot level, productivity in mixtures increased in all treatments. On average, the LNHP treatment increased by 27%, followed by LNLP which increased 21%, then HNLP which increased 20% and finally HNHP which was 10% more productive in mixture (<xref rid="pone.0239673.t002" ref-type="table">Table 2</xref>; p&lt;0.05). The ratios Y<sub>gra(Mix)</sub>:Y<sub>gra</sub> and Y<sub>leg(Mix)</sub>:Y<sub>leg</sub> determined individual species yield expected in mixtures compared with those observed in monocultures (<xref rid="pone.0239673.t002" ref-type="table">Table 2</xref>). Overyield was contributed to by both grasses and legumes.</p><table-wrap id="pone.0239673.t002" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.t002</object-id><label>Table 2</label><caption><title>Estimated marginal means of yield (sPSA DAP 70) and calculations of overyield (RYT, <xref ref-type="disp-formula" rid="pone.0239673.e008">Eq 2</xref>), between grasses (Gra) and legumes (Leg) across nutrient treatments.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.t002g" position="float" orientation="portrait" xlink:href="pone.0239673.t002.jpg"><?image-name pone.0239673.t002.jpg?><?image-size 87987?><?image-md5 c9314cb7014f56a57c62d7651a031bc0?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 645?><?image-original-width 2256?><?image-scaled-height 215?><?image-scaled-width 752?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/c9314cb7014f/pone.0239673.t002.jpg?><?thumb-name pone.0239673.t002.gif?><?thumb-size 12309?><?thumb-md5 481f42f8b9c586f6a7717990455ac594?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 57?><?thumb-scaled-width 200?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/481f42f8b9c5/pone.0239673.t002.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="center" rowspan="1" colspan="1">Fertiliser</th><th align="center" rowspan="1" colspan="1">sPSA± SE Gra</th><th align="center" rowspan="1" colspan="1">sPSA± SE Gra (Mix)</th><th align="center" rowspan="1" colspan="1">sPSA± SE Leg</th><th align="center" rowspan="1" colspan="1">sPSA± SE Leg (Mix)</th><th align="center" rowspan="1" colspan="1">Y<sub>gra</sub>:Y<sub>leg</sub></th><th align="center" rowspan="1" colspan="1">Y<sub>gra(Mix)</sub>:Y<sub>leg(Mix)</sub></th><th align="center" rowspan="1" colspan="1">Y<sub>gra,leg</sub>:Ŷ<sub>gra,leg</sub></th><th align="center" rowspan="1" colspan="1">Y<sub>gra(Mix)</sub>:Y<sub>gra (RYT)</sub></th><th align="center" rowspan="1" colspan="1">Y<sub>leg(Mix)</sub>:Y<sub>leg (RYT)</sub></th></tr></thead><tbody><tr><td align="center" rowspan="1" colspan="1">HNHP</td><td align="center" rowspan="1" colspan="1">527.9 (24.4) <sup>de</sup></td><td align="center" rowspan="1" colspan="1">589.5 (30.7) <sup>ef</sup></td><td align="center" rowspan="1" colspan="1">548.6 (15.5) <sup>c</sup></td><td align="center" rowspan="1" colspan="1">596.3 (18.0) <sup>d</sup></td><td align="char" char="." rowspan="1" colspan="1">0.96</td><td align="char" char="." rowspan="1" colspan="1">0.98</td><td align="char" char="." rowspan="1" colspan="1">1.10</td><td align="char" char="." rowspan="1" colspan="1">1.11</td><td align="char" char="." rowspan="1" colspan="1">1.08</td></tr><tr><td align="center" rowspan="1" colspan="1">LNHP</td><td align="center" rowspan="1" colspan="1">200.8 (16.8) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">359.4 (17.9) <sup>c</sup></td><td align="center" rowspan="1" colspan="1">548.6 (15.5) <sup>c</sup></td><td align="center" rowspan="1" colspan="1">596.3 (18.0) <sup>d</sup></td><td align="char" char="." rowspan="1" colspan="1">0.37</td><td align="char" char="." rowspan="1" colspan="1">0.60</td><td align="char" char="." rowspan="1" colspan="1">1.27</td><td align="char" char="." rowspan="1" colspan="1">1.78</td><td align="char" char="." rowspan="1" colspan="1">1.08</td></tr><tr><td align="center" rowspan="1" colspan="1">HNLP</td><td align="center" rowspan="1" colspan="1">493.3 (24.4) <sup>d</sup></td><td align="center" rowspan="1" colspan="1">639.9 (30.7) <sup>f</sup></td><td align="center" rowspan="1" colspan="1">436.6 (15.5) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">484.2 (18.0) <sup>b</sup></td><td align="char" char="." rowspan="1" colspan="1">1.12</td><td align="char" char="." rowspan="1" colspan="1">1.32</td><td align="char" char="." rowspan="1" colspan="1">1.20</td><td align="char" char="." rowspan="1" colspan="1">1.29</td><td align="char" char="." rowspan="1" colspan="1">1.10</td></tr><tr><td align="center" rowspan="1" colspan="1">LNLP</td><td align="center" rowspan="1" colspan="1">200.4 (16.8) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">289.8 (17.9) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">436.6 (15.5) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">484.2 (18.0) <sup>b</sup></td><td align="char" char="." rowspan="1" colspan="1">0.45</td><td align="char" char="." rowspan="1" colspan="1">0.59</td><td align="char" char="." rowspan="1" colspan="1">1.21</td><td align="char" char="." rowspan="1" colspan="1">1.44</td><td align="char" char="." rowspan="1" colspan="1">1.10</td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t002fn001"><p>Y<sub>gra</sub>:Y<sub>leg</sub> = yield of grass <italic toggle="yes">vs</italic> legume in monoculture; Y<sub>gra(Mix)</sub>:Y<sub>leg(Mix)</sub> yield of grass <italic toggle="yes">vs</italic> legume in mixture; Y<sub>gra,leg</sub>:Ŷ<sub>gra,leg</sub> yield in mixed cultivation compared with expected cumulative yield of constituent species according to calculations monocultures; Y<sub>gra(Mix)</sub>:Y<sub>gra</sub> yield of grass in mixture <italic toggle="yes">vs</italic> monoculture (RYT); Y<sub>leg(Mix)</sub>:Y<sub>leg</sub> yield of legume in mixture <italic toggle="yes">vs</italic> monoculture (RYT). All means (kpixels) and ratios were calculated from sPSA (DAP 70) values. Different letters represent significant treatment (nutrient and cultivation) differences at α = 0.05 within species.</p></fn></table-wrap-foot></table-wrap><p>Grass overyield was dependent on N or P addition, but not the two in combination (p&lt;0.001). Grass under LNLP achieved 44% more biomass in mixture (p&lt;0.001); in HNLP mixture grass achieved a 29% increase in biomass compared with monoculture (p&lt;0.001). HNHP treatment overyield was not detected for grasses (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3a</xref>; <xref rid="pone.0239673.t002" ref-type="table">Table 2</xref>). The highest overyield was detected in the LNHP treatment, where grass was 78% more productive in mixture than in monoculture (p&lt;0.001). The reliance of grasses on mineral N or by co-occurring legumes, was further evidenced by the fact that in LNHP and LNLP, grass monocultures could not maintain growth after DAP 60 (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3a</xref>).</p><p>Legumes overyielded in all mixtures (<xref rid="pone.0239673.t002" ref-type="table">Table 2</xref>), the highest attributed to P addition treatments (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3a</xref>). Growth in mixed HP treatments (HNHP, LNHP) was 8% higher compared with monoculture, and although LP treatments (HNLP, LNLP) achieved lower yields than the HP treatments they were 10% more productive in mixture compared with monoculture.</p></sec><sec id="sec018"><title>Nitrogen and phosphorus interact to influence shoot nutrient concentrations in grasses and legumes between cultivations</title><p>Grasses increased shoot N (mg g<sup>-1</sup>) in response to N addition and being grown in mixture, where the effect of N addition was augmented (p&lt;0.001, <xref rid="pone.0239673.t003" ref-type="table">Table 3</xref>). Grass shoot N under HNLP and HNHP treatments was 32% higher in mixture, and in LNLP and LNHP treatments was 31% higher. Legume shoot N (mg g<sup>-1</sup>) was only increased by P addition, with no additional effect in mixture (p&lt;0.001).</p><table-wrap id="pone.0239673.t003" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.t003</object-id><label>Table 3</label><caption><title>Estimated marginal means of shoot nutrient concentrations (mg g<sup>-1</sup>).</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0239673.t003g" position="float" orientation="portrait" xlink:href="pone.0239673.t003.jpg"><?image-name pone.0239673.t003.jpg?><?image-size 78594?><?image-md5 28be709558ef600d5d36357d39b7c385?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 778?><?image-original-width 2256?><?image-scaled-height 259?><?image-scaled-width 752?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/28be709558ef/pone.0239673.t003.jpg?><?thumb-name pone.0239673.t003.gif?><?thumb-size 11685?><?thumb-md5 c09e583a3011bd0c381a9f5c050c037e?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 69?><?thumb-scaled-width 200?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/c09e583a3011/pone.0239673.t003.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="center" rowspan="1" colspan="1">Fertiliser Treatment</th><th align="center" rowspan="1" colspan="1">Nut (mg g<sup>-1</sup>) ± SE Gra</th><th align="center" rowspan="1" colspan="1">Nut (mg g<sup>-1</sup>) ± SE Gra (Leg)</th><th align="center" rowspan="1" colspan="1">Nut (mg g<sup>-1</sup>) ± SE Leg</th><th align="center" rowspan="1" colspan="1">Nut (mg g<sup>-1</sup>) ± SE Leg (Gra)</th></tr></thead><tbody><tr><td align="center" rowspan="1" colspan="1"/><td align="center" rowspan="1" colspan="1"/><td align="center" rowspan="1" colspan="1"><bold>NITROGEN</bold></td><td align="center" rowspan="1" colspan="1"/><td align="center" rowspan="1" colspan="1"/></tr><tr><td align="center" rowspan="1" colspan="1">HNHP</td><td align="center" rowspan="1" colspan="1">14.34 (0.5) <sup>c</sup></td><td align="center" rowspan="1" colspan="1">18.96 (0.7) <sup>d</sup></td><td align="center" rowspan="1" colspan="1">31.06 (0.8) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">31.06 (0.8) <sup>b</sup></td></tr><tr><td align="center" rowspan="1" colspan="1">LNHP</td><td align="center" rowspan="1" colspan="1">7.00 (0.2) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">9.18 (0.2) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">32.58 (1.0) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">32.58 (1.0) <sup>b</sup></td></tr><tr><td align="center" rowspan="1" colspan="1">HNLP</td><td align="center" rowspan="1" colspan="1">14.34 (0.5) <sup>c</sup></td><td align="center" rowspan="1" colspan="1">18.96 (0.2) <sup>d</sup></td><td align="center" rowspan="1" colspan="1">29.17 (0.8) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">29.17 (0.8) <sup>a</sup></td></tr><tr><td align="center" rowspan="1" colspan="1">LNLP</td><td align="center" rowspan="1" colspan="1">7.00 (0.2) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">9.18 (0.2) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">26.87 (1.0) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">26.87 (1.0) <sup>a</sup></td></tr><tr><td align="center" rowspan="1" colspan="1"/><td align="center" rowspan="1" colspan="1"/><td align="center" rowspan="1" colspan="1"><bold>PHOSPHORUS</bold></td><td align="center" rowspan="1" colspan="1"/><td align="center" rowspan="1" colspan="1"/></tr><tr><td align="center" rowspan="1" colspan="1">HNHP</td><td align="center" rowspan="1" colspan="1">3.48 (0.1) <sup>g</sup></td><td align="center" rowspan="1" colspan="1">3.75 (0.1) <sup>h</sup></td><td align="center" rowspan="1" colspan="1">1.98 (0.07) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">1.98 (0.07) <sup>b</sup></td></tr><tr><td align="center" rowspan="1" colspan="1">LNHP</td><td align="center" rowspan="1" colspan="1">3.09 (0.1) <sup>e</sup></td><td align="center" rowspan="1" colspan="1">3.36 (0.1) <sup>f</sup></td><td align="center" rowspan="1" colspan="1">1.98 (0.07) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">1.98 (0.07) <sup>b</sup></td></tr><tr><td align="center" rowspan="1" colspan="1">HNLP</td><td align="center" rowspan="1" colspan="1">1.17 (0.1) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">1.45 (0.1) <sup>b</sup></td><td align="center" rowspan="1" colspan="1">1.27 (0.07) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">1.27 (0.07) <sup>a</sup></td></tr><tr><td align="center" rowspan="1" colspan="1">LNLP</td><td align="center" rowspan="1" colspan="1">1.84 (0.1) <sup>c</sup></td><td align="center" rowspan="1" colspan="1">2.12 (0.07) <sup>d</sup></td><td align="center" rowspan="1" colspan="1">1.27 (0.07) <sup>a</sup></td><td align="center" rowspan="1" colspan="1">1.27 (0.07) <sup>a</sup></td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t003fn001"><p>Nutrient concentrations (mg g<sup>-1</sup>) were measured in shoot biomass harvested on DAP 70 for Grass (Gra) and Legume (Leg). Different letters represent significant treatment (nutrient and cultivation) differences within species, at α = 0.05.</p></fn></table-wrap-foot></table-wrap><p>Shoot P (mg g<sup>-1</sup>) in grass was influenced by an interaction between N and P (p&lt;0.001), cultivation and P (p&lt;0.01) and cultivation and N (p&lt;0.01). Shoot P increased when N was added or in mixtures. Without N but with P addition (LNHP), grass shoot P was 8% higher in mixtures. The highest shoot P concentration was in grasses under the HNHP mixed treatment where it increased by 7% from monoculture. Shoot P (mg g<sup>-1</sup>) in legumes was influenced by P status (p&lt;0.001) being higher when P was added but was unaffected by cultivation with grasses (<xref rid="pone.0239673.t003" ref-type="table">Table 3</xref>).</p></sec><sec id="sec019"><title>Grass RGR parameters are related to shoot N in both cultivations, and legume RGR parameters diverge between monocultures and mixtures</title><p>Principal components analysis revealed differences in the relatedness of nine parameters pertaining to growth and nutrient use between grasses and legumes (<bold>S2 and S3a-S3b Figs in</bold>
<xref ref-type="supplementary-material" rid="pone.0239673.s001">S1 File</xref>). Although DAP 35–70 RGR parameters were largely correlated in grasses, in legumes they were not and as such we decided to include all RGR parameters in our analysis to allow comparison between species.</p><p>Over the duration of the experiment, RGR in grass grown in both monoculture and mixture was strongly correlated with shoot N, and to a lesser degree, extractable N; it was uncorrelated (orthogonal) to shoot and extractable P concentrations (<xref ref-type="fig" rid="pone.0239673.g004">Fig 4a and 4b</xref>). Additionally, the correlation in RGR intervals suggests that RGR displayed consistency throughout the experiment for grasses.</p><fig id="pone.0239673.g004" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.g004</object-id><label>Fig 4</label><caption><title>PCA loading plot of the first two principal components for a) grasses in monoculture and b) grasses in mixture.</title><p>Gradient colour scales and arrow length represent the percentage of variation explained by each variable along the principal component. RGR 35–70 = Relative growth rate (kpixels day<sup>-1</sup>), Ex P = Extractable P (mg g<sup>-1</sup>), Ex N = Extractable N (mg g<sup>-1</sup>), Shoot P = Shoot P (mg g<sup>-1</sup>), Shoot N = Shoot N (mg g<sup>-1</sup>).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" position="float" orientation="portrait" xlink:href="pone.0239673.g004.jpg"><?image-name pone.0239673.g004.jpg?><?image-size 62673?><?image-md5 2079bdd4fff9008b5180172231aa2de7?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 502?><?image-original-width 1074?><?image-scaled-height 335?><?image-scaled-width 716?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/2079bdd4fff9/pone.0239673.g004.jpg?><?thumb-name pone.0239673.g004.gif?><?thumb-size 8241?><?thumb-md5 56b9237b53c7e29188374714ffa5b096?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 80?><?thumb-scaled-width 171?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/56b9237b53c7/pone.0239673.g004.gif?></graphic></fig><p>Legume RGR in monoculture became increasingly correlated with nutrient availability, especially shoot P and extractable P, over the course of the experiment. Legume RGR in mixture showed a similar pattern, with a strong correlation to shoot and extractable P at the end of the experiment, but with a stronger correlation to extractable N and shoot N in the early stages of the experiment (<xref ref-type="fig" rid="pone.0239673.g005">Fig 5a and 5b</xref>).</p><fig id="pone.0239673.g005" orientation="portrait" position="float"><object-id pub-id-type="doi">10.1371/journal.pone.0239673.g005</object-id><label>Fig 5</label><caption><title>PCA loading plot of the first two principal components for a) legumes in monoculture and b) legumes in mixture.</title><p>Gradient colour scales and arrow length represent the percentage of variation explained by each variable along the principal component. RGR 35–70 = Relative growth rate (kpixels day<sup>-1</sup>), Ex P = Extractable P (mg g<sup>-1</sup>), Ex N = Extractable N (mg g<sup>-1</sup>), Shoot P = Shoot P (mg g<sup>-1</sup>), Shoot N = Shoot N (mg g<sup>-1</sup>).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" position="float" orientation="portrait" xlink:href="pone.0239673.g005.jpg"><?image-name pone.0239673.g005.jpg?><?image-size 66705?><?image-md5 1e24c368515c5829a52f267f6f45a1e8?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 532?><?image-original-width 1129?><?image-scaled-height 354?><?image-scaled-width 752?><?image-cloudpmc-urn urn:cdn:blobs/69c2/7540849/1e24c368515c/pone.0239673.g005.jpg?><?thumb-name pone.0239673.g005.gif?><?thumb-size 8548?><?thumb-md5 b340e4fab9d316b01eca33b4de3da01f?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 80?><?thumb-scaled-width 169?><?thumb-cloudpmc-urn urn:cdn:blobs/69c2/7540849/b340e4fab9d3/pone.0239673.g005.gif?></graphic></fig></sec></sec><sec sec-type="conclusions" id="sec020"><title>Discussion</title><sec id="sec021"><title>Growth strategy is determined by nutrient availability and community interactions</title><p>Facilitation of N uptake [<xref rid="pone.0239673.ref021" ref-type="bibr">21</xref>] and growth in grass-legume mixtures is the primary motivation for intercropping in pastoral agriculture. N and P fertilization can have varying effects on this relationship [<xref rid="pone.0239673.ref057" ref-type="bibr">57</xref>], as well as the length of time that species interact under particular nutrient conditions [<xref rid="pone.0239673.ref058" ref-type="bibr">58</xref>]. We successfully measured growth facilitation using HTP, revealing a yield benefit for both grasses and legumes (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3a</xref>). Grasses displayed a faster more acquisitive growth strategy, while legumes reduced growth rate, increased AG but maintained shoot nutrient concentrations (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3a and 3b</xref>, Tables <xref rid="pone.0239673.t001" ref-type="table">1</xref>–<xref rid="pone.0239673.t003" ref-type="table">3</xref>). Variation in species-specific growth strategies can shape resource use and primary productivity in agricultural systems as they determine requirements for N and P [<xref rid="pone.0239673.ref059" ref-type="bibr">59</xref>]. Using HTP, we accurately detected interspecific differences in response to nutrients, revealing higher AG and faster RGR in grasses responding to N, and a slower, more conservative growth strategy in legumes responding to P (<xref ref-type="fig" rid="pone.0239673.g003">Fig 3b</xref>). RGR in grasses was consistently related to shoot N concentrations in both cultivations, whilst in legumes, nutrient effects on growth were only detected towards the mid-to-late stages and were more pronounced in mixture (DAP 50–70), (Figs <xref ref-type="fig" rid="pone.0239673.g004">4</xref> and <xref ref-type="fig" rid="pone.0239673.g005">5</xref>).</p></sec><sec id="sec022"><title>Mixed cultivation increases growth in both species and augments N and P uptake in grasses</title><p>Combining grass and legume is beneficial for pasture yield as legumes can increase grass growth via transfer of fixed N [<xref rid="pone.0239673.ref060" ref-type="bibr">60</xref>], and for pasture quality as the facilitative interaction can increase nutrient uptake and storage [<xref rid="pone.0239673.ref016" ref-type="bibr">16</xref>, <xref rid="pone.0239673.ref061" ref-type="bibr">61</xref>, <xref rid="pone.0239673.ref062" ref-type="bibr">62</xref>]. In addition to the facilitative benefit mixed cultivation presented for grasses, our data also revealed a clear growth benefit for legumes. Whilst not commonly discussed that grasses ‘facilitate’ legumes, grasses are demonstrated to prevent N leaching <italic toggle="yes">via</italic> their root structures [<xref rid="pone.0239673.ref063" ref-type="bibr">63</xref>] and to trigger up-regulation of BNF to benefit the legume [<xref rid="pone.0239673.ref018" ref-type="bibr">18</xref>, <xref rid="pone.0239673.ref058" ref-type="bibr">58</xref>, <xref rid="pone.0239673.ref064" ref-type="bibr">64</xref>]. In our study, grasses increased their shoot N and P concentrations in mixtures, and despite a growth increase in mixture, legume N and P concentrations remained constant. Robust, positive relationships between foliar N concentrations, RGR and yield have been reported in grasses [<xref rid="pone.0239673.ref065" ref-type="bibr">65</xref>], and the positive response of grass to N fertilization has been physiologically related to its fast RGR [<xref rid="pone.0239673.ref066" ref-type="bibr">66</xref>], which strongly determines a plant’s metabolic requirement for N and P [<xref rid="pone.0239673.ref030" ref-type="bibr">30</xref>]. In our study, increased RGR and foliar N concentrations in grasses following N addition with an augmented effect in mixture, suggested both a facilitative effect of legumes on grass growth [<xref rid="pone.0239673.ref021" ref-type="bibr">21</xref>] and the presence of an exploitative nutrient uptake strategy in grasses [<xref rid="pone.0239673.ref066" ref-type="bibr">66</xref>–<xref rid="pone.0239673.ref068" ref-type="bibr">68</xref>]. Our observed increases to shoot P concentrations (mg g<sup>-1</sup>) in grasses under N addition or in mixture, coupled with increased growth, provides support for the well-known theory of an increased P requirement in faster growing organisms [<xref rid="pone.0239673.ref030" ref-type="bibr">30</xref>, <xref rid="pone.0239673.ref069" ref-type="bibr">69</xref>].</p></sec><sec id="sec023"><title>Legumes alter their growth in the presence of grasses but maintain consistent shoot nutrient concentrations</title><p>RGR in legumes appeared to differ between early-to-mid stage growth (DAP 35–50) that was significantly correlated with soil N availability in mixtures, and late stage growth (DAP 50–70) was not correlated with soil N. We suggest that during this early stage growth related more to mineral N than biologically fixed N, as legume nodules may not yet have properly developed [<xref rid="pone.0239673.ref044" ref-type="bibr">44</xref>, <xref rid="pone.0239673.ref045" ref-type="bibr">45</xref>]. The mid-to-late legume growth stage (DAP 50–70), was associated with soil P and shoot N and P concentrations in both cultivations, but despite legume RGR slowing in mixture, there was no cultivation difference in final shoot nutrient concentrations. The legume RGR being more strongly affected by P availability in mixture towards the end of the experiment is likely owing to the prolonged interaction with grasses which may have up-regulated biological nitrogen fixation [<xref rid="pone.0239673.ref027" ref-type="bibr">27</xref>, <xref rid="pone.0239673.ref070" ref-type="bibr">70</xref>]. A more conservative growth and nutrient uptake strategy in legumes that is mediated by community interactions and facilitates increased growth [<xref rid="pone.0239673.ref020" ref-type="bibr">20</xref>, <xref rid="pone.0239673.ref067" ref-type="bibr">67</xref>] is positive for increasing overall forage quality and productivity in mixed pastures [<xref rid="pone.0239673.ref016" ref-type="bibr">16</xref>, <xref rid="pone.0239673.ref021" ref-type="bibr">21</xref>, <xref rid="pone.0239673.ref062" ref-type="bibr">62</xref>, <xref rid="pone.0239673.ref071" ref-type="bibr">71</xref>].</p></sec><sec id="sec024"><title>The potential value of high-throughput phenotyping for mixed cultivations</title><p>High throughput phenotyping continues to develop as a promising technique to replace at least some of the traditional approaches to plant functional trait assessment [<xref rid="pone.0239673.ref035" ref-type="bibr">35</xref>, <xref rid="pone.0239673.ref036" ref-type="bibr">36</xref>]. As our study is one of the first to examine mixed species, there was some expected variability in the characterization of projected shoot area measured against harvested biomass between species having different growth forms. In previous monoculture studies, correlations between projected shoot area obtained from RGB images and harvested plant biomass have generally been demonstrated as strong, with variations reported in relation to growth stage and plant height [<xref rid="pone.0239673.ref072" ref-type="bibr">72</xref>, <xref rid="pone.0239673.ref073" ref-type="bibr">73</xref>] and plant functional type (grass <italic toggle="yes">vs</italic> legume) [<xref rid="pone.0239673.ref074" ref-type="bibr">74</xref>]. In the latter case, however, only canopy height was assessed, sensing was remotely obtained, and images were taken from a primarily top view. We believe that the combined use of top and side-view cameras may have reduced some of this error in our study, leading to relatively strong correlations (r<sup>2</sup> ranging from 0.67 to 0.85) despite the interspecific differences. Nevertheless, the future capacity of HTP to inform agricultural management will continue to rely on robust and repeated calibrations in both controlled and field-based systems, and validation of acquired data in systems of interest.</p></sec><sec id="sec025"><title>Conclusion</title><p>Pastoral agriculture is a multi-billion-dollar industry that currently relies heavily on intensive fertilization for effective agricultural production. Novel sampling techniques such as image-based phenotyping have the potential to revolutionize our understanding of plant growth dynamics, thereby improving our ability to reduce reliance on mineral fertilizers. In addition, this dataset, calibrated under highly controlled conditions contributes to a more comprehensive understanding of plant-plant interactions in common agricultural systems, providing a platform for future testing in field-based systems.</p></sec></sec><sec sec-type="supplementary-material" id="sec026"><title>Supporting information</title><supplementary-material content-type="local-data" id="pone.0239673.s001" position="float" orientation="portrait"><label>S1 File</label><caption><p>(DOCX)</p></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0239673.s001.docx" position="float" orientation="portrait"><?suppdata-name pone.0239673.s001.docx?><?suppdata-size 1159943?><?suppdata-md5 8ec5b557031cd62acaa9d7dff024c824?><?suppdata-image-server-status NEVER_LOAD?><?suppdata-mime-type application?><?suppdata-mime-sub-type vnd.openxmlformats-officedocument.wordprocessingml.document?><?suppdata-cloudpmc-urn urn:app:69c2/7540849/8ec5b557031c/pone.0239673.s001.docx?><caption><p>Click here for additional data file.</p></caption></media></supplementary-material></sec></body><back><ack><p>The authors wish to acknowledge the invaluable contributions of APPF technical staff, in particular Lidia Mischis, Fiona Groskreutz and Nicole Bond who worked tirelessly to ensure that this experiment was successful. We thank Dr Guntur Tanjung and George Sainsbury for rapid and accurate image analyses throughout the experiment. 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<pub-id pub-id-type="doi">10.3390/agronomy9020054</pub-id></mixed-citation></ref></ref-list></back><sub-article id="pone.0239673.r001" article-type="aggregated-review-documents"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0239673.r001</article-id><title-group><article-title>Decision Letter 0</article-title></title-group><contrib-group><contrib contrib-type="author"><name name-style="western"><surname>Papa</surname><given-names initials="R">Roberto</given-names></name><role>Academic Editor</role></contrib></contrib-group><permissions><copyright-statement>© 2020 Roberto Papa</copyright-statement><copyright-year>2020</copyright-year><copyright-holder>Roberto Papa</copyright-holder><license xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><related-article xmlns:xlink="http://www.w3.org/1999/xlink" id="rel-obj001" ext-link-type="doi" xlink:href="10.1371/journal.pone.0239673" related-article-type="reviewed-article"/><custom-meta-group><custom-meta><meta-name>Submission Version</meta-name><meta-value>0</meta-value></custom-meta></custom-meta-group></front-stub><body><p>
<named-content content-type="letter-date">25 Aug 2020</named-content>
</p><p>PONE-D-20-20899</p><p>High-throughput, image-based phenotyping reveals nutrient-dependent growth facilitation in a grass – legume mixture</p><p>PLOS ONE</p><p>Dear Dr. Ball,</p><p>Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.</p><p>Please submit your revised manuscript by Oct 09 2020 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at <email>plosone@plos.org</email>. When you're ready to submit your revision, log on to <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://www.editorialmanager.com/pone/">https://www.editorialmanager.com/pone/</ext-link> and select the 'Submissions Needing Revision' folder to locate your manuscript file.</p><p>Please include the following items when submitting your revised manuscript:</p><p><list list-type="bullet"><list-item><p>A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). You should upload this letter as a separate file labeled 'Response to Reviewers'.</p></list-item><list-item><p>A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.</p></list-item><list-item><p>An unmarked version of your revised paper without tracked changes. You should upload this as a separate file labeled 'Manuscript'.</p></list-item></list></p><p>If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.</p><p>If applicable, we recommend that you deposit your laboratory protocols in protocols.io to enhance the reproducibility of your results. Protocols.io assigns your protocol its own identifier (DOI) so that it can be cited independently in the future. For instructions see: <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="http://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols">http://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols</ext-link></p><p>We look forward to receiving your revised manuscript.</p><p>Kind regards,</p><p>Roberto Papa, PhD</p><p>Academic Editor</p><p>PLOS ONE</p><p>Journal Requirements:</p><p>When submitting your revision, we need you to address these additional requirements.</p><p>1. Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming. The PLOS ONE style templates can be found at</p><p><ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://journals.plos.org/plosone/s/file?id=wjVg/PLOSOne_formatting_sample_main_body.pdf">https://journals.plos.org/plosone/s/file?id=wjVg/PLOSOne_formatting_sample_main_body.pdf</ext-link> and</p><p><ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://journals.plos.org/plosone/s/file?id=ba62/PLOSOne_formatting_sample_title_authors_affiliations.pdf">https://journals.plos.org/plosone/s/file?id=ba62/PLOSOne_formatting_sample_title_authors_affiliations.pdf</ext-link></p><p>2. Thank you for stating the following in the Acknowledgments Section of your manuscript:</p><p>'This project was supported in part by a Postgraduate Internship Award by the Australian Plant Phenomics Facility (APPF) awarded to Kirsten Ball. The APPF is funded by the Australian Government under the National Collaborative Research Infrastructure Strategy (NCRIS).'</p><p>We note that you have provided funding information that is not currently declared in your Funding Statement. However, funding information should not appear in the Acknowledgments section or other areas of your manuscript. We will only publish funding information present in the Funding Statement section of the online submission form.</p><p>Please remove any funding-related text from the manuscript and let us know how you would like to update your Funding Statement. Currently, your Funding Statement reads as follows:</p><p>'This project was supported in part by a Postgraduate Internship Award by the Australian Plant Phenomics Facility (APPF) awarded to KB.</p><p><ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://www.plantphenomics.org.au/">https://www.plantphenomics.org.au/</ext-link></p><p>Staff at the APPF (BB, CB, NJ) assisted in experimental design, statistical analyses and manuscript development.'</p><p>Please include your amended statements within your cover letter; we will change the online submission form on your behalf.</p><p>3. We note that you have stated that you will provide repository information for your data at acceptance. Should your manuscript be accepted for publication, we will hold it until you provide the relevant accession numbers or DOIs necessary to access your data. If you wish to make changes to your Data Availability statement, please describe these changes in your cover letter and we will update your Data Availability statement to reflect the information you provide.</p><p>4. We note that you have included the phrase “data not shown” in your manuscript. Unfortunately, this does not meet our data sharing requirements. PLOS does not permit references to inaccessible data. We require that authors provide all relevant data within the paper, Supporting Information files, or in an acceptable, public repository. Please add a citation to support this phrase or upload the data that corresponds with these findings to a stable repository (such as Figshare or Dryad) and provide and URLs, DOIs, or accession numbers that may be used to access these data. Or, if the data are not a core part of the research being presented in your study, we ask that you remove the phrase that refers to these data.</p><p>5. Please include captions for your Supporting Information files at the end of your manuscript, and update any in-text citations to match accordingly. Please see our Supporting Information guidelines for more information: <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="about:blank">http://journals.plos.org/plosone/s/supporting-information</ext-link></p><p>[Note: HTML markup is below. Please do not edit.]</p><p>Reviewers' comments:</p><p>Reviewer's Responses to Questions</p><p><bold>Comments to the Author</bold></p><p>1. Is the manuscript technically sound, and do the data support the conclusions?</p><p>The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented. </p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>2. Has the statistical analysis been performed appropriately and rigorously? </p><p>Reviewer #1: Yes</p><p>Reviewer #2: N/A</p><p>**********</p><p>3. Have the authors made all data underlying the findings in their manuscript fully available?</p><p>The <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="http://www.plosone.org/static/policies.action#sharing">PLOS Data policy</ext-link> requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.</p><p>Reviewer #1: No</p><p>Reviewer #2: Yes</p><p>**********</p><p>4. Is the manuscript presented in an intelligible fashion and written in standard English?</p><p>PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>5. Review Comments to the Author</p><p>Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)</p><p>Reviewer #1: It was not possible to find a URL/accession or a number/DOIs where it was possible to download the data, unlike what was declared.</p><p>I would like to bring to the attention of the author some passages: row (64-65-66), reference is made to the types of interaction between plants suggesting that there was a sequence between them, which is not the case.</p><p>In line (102), reference is made to the objectives of the study using a past tense "were", usually a tense is used at present.</p><p>In row (182), reference is made to the addition of 99 mg N and 11 of P with a ratio of (6: 1), this ratio is incorrect.</p><p>In line (241, 242), reference is made to the methodology only through the numerical label of the bibliography, in my opinion I do not find it properly correct.</p><p>Furthermore, I would like to bring to the attention of the author the fact that in some cases the double quotation in the same sentence is separated by a comma (line 87), while in other cases it is separated by a hyphen (line 70).</p><p>Overall in my opinion it is well done and the concepts are well expressed and connected.</p><p>Reviewer #2: Overall, the manuscript is well done and highlights important issues, which could be used in further studies on mixtures and are applicable also on other species. Moreover, it underlines hight-throughtput phenotyping potential for studying crop growth patterns and facilitation in different conditions (i.e. nutrient availability) and its needs for careful calibration and validation. It only needs a minor revision in terms of sintax and lexical form. Result discussion is very well done and conclusions are strongly supported by data.</p><p>I put some advices, comments and corrections in the following lines.</p><p>17: delete “To our knowledge”</p><p>25-28: focus attention on results achieved in the mixture, rather than indicate species favourite nutritional conditions, that are largely known</p><p>53-56: please, better define this point, it’s not so clear</p><p>60: biological nitrogen fixation or biological N2 fixation</p><p>84: delete “Regardless of the measurement”</p><p>88: delete comma after “rapid”</p><p>98: delete “Regardless of the technique”</p><p>111 and 116: biological nitrogen fixation or biological N2 fixation</p><p>123: I suggest “Experimental design and plant material”; this section is not so clear; I put some suggestion in the following lines.</p><p>124-126: introduce better the experimental site, indicating GPS coordinates, specify that the experiment was conducted in a greenhouse using Lemnatec Imaging System and move the info about the images in section 2.6</p><p>127-130: it could be better to modify this sentence. I propose “The experiment investigated the effects of four fertiliser treatments derived by factorial combination of two levels of nitrogen (LN and HN) and two levels of phosphorus (LP and HP) on one grass (Phalaris aquatica) and one legume (Trifolium vesiculosum) pasture species grown in monoculture and mixture.”</p><p>130-131: it could be better to modify this sentence. I propose “The twelve treatments were arranged in a latinized, resolved incomplete-block design with ten replicates, for a total of 120 pots.”</p><p>139-143: I suggest to reorganize this part, adding in brackets the nutrient combinations (LNLP, HNHP, HNLP and LNHP) and deleting the reference to the experimental design, which you will move in the main text. I suggest: “Within each replicate (indicated by the solid red box) the four nutrient combinations (LNLP, HNHP, HNLP and LNHP) were assigned to 4 main units arranged in a grid according to the experimental design. The three species combinations [grass only (Gra), legume only (Leg) and mixture (Gra Leg)] were randomized to the three consecutive pots within each main unit. Colored blocks indicate 1 pot containing two halves.”</p><p>145: I suggest to rename this part in “Growing conditions”</p><p>146: please add a sentence to specify growth condition in general, in order to better introduce the experimental conditions and parameters description.</p><p>149-151: please, improve the sentence</p><p>174: I suggest “Fertilisation treatments”</p><p>178-179: please, adjust the sentence, including punctuation and brackets</p><p>182: ratio 9:1</p><p>182-183: adjust punctuation and brackets</p><p>187: indicate in which table number</p><p>361-362: add punctuation and adjust brackets</p><p>367: you can add the reference on equation 1</p><p>375, 387, 391, 403: correct the figure number</p><p>376, 380: I guess you should better introduce the use of ratios in the main text, maybe in the section 2.10</p><p>376-382: please, improve this part</p><p>393-400: caption is not so clear; you could improve it moving some informations in the main text and reorganizing the text in order to promote immediate understanding</p><p>422-424: explain in the caption text what Gra (Leg) and Leg (Gra) mean</p><p>443, 454: add a bracket after “shoot N”</p><p>456: in all this section, please add tables and figures references.</p><p>464: delete “in mixture”</p><p>479: add comma after “grasses”</p><p>528: “conclusion” should have a separate paragraph</p><p>**********</p><p>6. PLOS authors have the option to publish the peer review history of their article (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://journals.plos.org/plosone/s/editorial-and-peer-review-process#loc-peer-review-history">what does this mean?</ext-link>). If published, this will include your full peer review and any attached files.</p><p>If you choose “no”, your identity will remain anonymous but your review may still be made public.</p><p><bold>Do you want your identity to be public for this peer review?</bold> For information about this choice, including consent withdrawal, please see our <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://www.plos.org/privacy-policy">Privacy Policy</ext-link>.</p><p>Reviewer #1: <bold>Yes: </bold>Papalini Simone</p><p>Reviewer #2: No</p><p>[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]</p><p>While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://pacev2.apexcovantage.com/">https://pacev2.apexcovantage.com/</ext-link>. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at <email>figures@plos.org</email>. Please note that Supporting Information files do not need this step.</p></body></sub-article><sub-article id="pone.0239673.r002" article-type="author-comment"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0239673.r002</article-id><title-group><article-title>Author response to Decision Letter 0</article-title></title-group><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="editor-report" id="rel-obj002" ext-link-type="doi" xlink:href="10.1371/journal.pone.0239673"/><custom-meta-group><custom-meta><meta-name>Submission Version</meta-name><meta-value>1</meta-value></custom-meta></custom-meta-group></front-stub><body><p>
<named-content content-type="author-response-date">9 Sep 2020</named-content>
</p><p>Dear Dr Papa,</p><p>We enclose herewith our revised manuscript entitled ‘High-throughput, image-based phenotyping reveals nutrient-dependent growth facilitation in a grass – legume mixture’ for consideration for publication in the “Plant Phenomics and Precision Agriculture” special edition. </p><p>We have revised the manuscript accounting for PLOS ONE’s style requirements as requested and have provided repository information for the data used in the manuscript. At present this is a conditional DOI (10.25909/12895121) which will be linked to the article upon publication. Presently, the data can be accessed via this private link: <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://figshare.com/s/99e05c190be6cb416164">https://figshare.com/s/99e05c190be6cb416164</ext-link></p><p>The updated financial disclosure which has been removed from the acknowledgements section is as follows: “The Australian Plant Phenomics Facility received grant funding from the Australian Government through the National Collaborative Research Infrastructure Strategy (NCRIS). KB received a Postgraduate Internship Award from the Australian Plant Phenomics Facility towards the completion of this project”.</p><p>We wish to sincerely thank the reviewers for their valuable assistance in refining the manuscript for publication and provide responses to their comments herein. We hope that you find these responses satisfactory, and we look forward to positive news of our article’s acceptance.</p><p>Yours sincerely,</p><p>Kirsten Ball (on behalf of all co-authors)</p><p> </p><p>Reviewer #1: </p><p>It was not possible to find a URL/accession or a number/DOIs where it was possible to download the data, unlike what was declared.</p><p>RESPONSE: Thank you for this comment, the associated data for the manuscript has now been placed in a repository and the provisional DOI is 10.25909/12895121, which once published will be linked to the article. Until the article is published, the data can be viewed via this private link: <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://figshare.com/s/99e05c190be6cb416164">https://figshare.com/s/99e05c190be6cb416164</ext-link></p><p>I would like to bring to the attention of the author some passages: row (64-65-66), reference is made to the types of interaction between plants suggesting that there was a sequence between them, which is not the case.</p><p>RESPONSE: Thank you for this suggestion. This syntax has now been changed to “Interspecific interactions between plants can be negative, in the case of competition for resources [22], neutral, where complementarity ensures that species do not compete for the same resources [11], and positive, where facilitation leads to higher performance of a species when grown in mixture than in monoculture [23]” removing the suggestion of sequence.</p><p>In line (102), reference is made to the objectives of the study using a past tense "were", usually a tense is used at present.</p><p>RESPONSE: Thank you. The word “were” was used not to denote tense but because there were multiple aims of the study, hence “the aims were….” We have now changed this to “This study used” to clarify.</p><p>In row (182), reference is made to the addition of 99 mg N and 11 of P with a ratio of (6: 1), this ratio is incorrect.</p><p>RESPONSE: Thank for pointing out this typographic error. It has now been rectified. </p><p>In line (241, 242), reference is made to the methodology only through the numerical label of the bibliography, in my opinion I do not find it properly correct.</p><p>RESPONSE: The method employed has now been specified in the initial sentence and the following description modified to emphasize the steps involved in the method. These are now lines 248-250.</p><p>Furthermore, I would like to bring to the attention of the author the fact that in some cases the double quotation in the same sentence is separated by a comma (line 87), while in other cases it is separated by a hyphen (line 70).</p><p>RESPONSE: Where there are only 2 references in the citation a comma is used, in the case where there are more than 2, a hyphen is used. </p><p>Overall in my opinion it is well done and the concepts are well expressed and connected.</p><p>Reviewer #2: </p><p>Overall, the manuscript is well done and highlights important issues, which could be used in further studies on mixtures and are applicable also on other species. Moreover, it underlines hight-throughtput phenotyping potential for studying crop growth patterns and facilitation in different conditions (i.e. nutrient availability) and its needs for careful calibration and validation. It only needs a minor revision in terms of sintax and lexical form. Result discussion is very well done and conclusions are strongly supported by data.</p><p>I put some advices, comments and corrections in the following lines.</p><p>17: delete “To our knowledge”</p><p>RESPONSE: Completed.</p><p>25-28: focus attention on results achieved in the mixture, rather than indicate species favourite nutritional conditions, that are largely known</p><p>RESPONSE: Thank you for this comment. We have removed the single-species favored nutrient conditions from these lines and included only the interactions that occurred in mixtures.</p><p>53-56: please, better define this point, it’s not so clear</p><p>RESPONSE: This has been altered to make the point clearer “Plant growth strategies involve trade-offs between increasing both productivity and resource acquisition (interpreted herein as an acquisitive growth strategy), and reducing productivity and conserving resources (interpreted herein as a conservative growth strategy) [14].”</p><p>60: biological nitrogen fixation or biological N2 fixation</p><p>RESPONSE: Completed </p><p>84: delete “Regardless of the measurement”</p><p>RESPONSE: Completed.</p><p>88: delete comma after “rapid”</p><p>RESPONSE: Completed</p><p>98: delete “Regardless of the technique”</p><p>RESPONSE: Completed</p><p>111 and 116: biological nitrogen fixation or biological N2 fixation</p><p>RESPONSE: Completed</p><p>123: I suggest “Experimental design and plant material”; this section is not so clear; I put some suggestion in the following lines.</p><p>RESPONSE: Thank you. We have now changed this to “Experimental design and species”</p><p>124-126: introduce better the experimental site, indicating GPS coordinates, specify that the experiment was conducted in a greenhouse using Lemnatec Imaging System and move the info about the images in section 2.6</p><p>RESPONSE: We have revised this sentence accordingly: “Our experiment was conducted between the 24th July 2018 and 5th October 2018 at the Australian Plant Phenomics Facility at the University of Adelaide (-34.971298, 138.639627) in a Lemnatec Imaging System”</p><p>127-130: it could be better to modify this sentence. I propose “The experiment investigated the effects of four fertiliser treatments derived by factorial combination of two levels of nitrogen (LN and HN) and two levels of phosphorus (LP and HP) on one grass (Phalaris aquatica) and one legume (Trifolium vesiculosum) pasture species grown in monoculture and mixture.”</p><p>RESPONSE: We have altered the sentence according to the reviewer’s suggestion. </p><p>130-131: it could be better to modify this sentence. I propose “The twelve treatments were arranged in a latinized, resolved incomplete-block design with ten replicates, for a total of 120 pots.”</p><p>RESPONSE: We have altered the sentence according to the reviewers suggestion.</p><p>139-143: I suggest to reorganize this part, adding in brackets the nutrient combinations (LNLP, HNHP, HNLP and LNHP) and deleting the reference to the experimental design, which you will move in the main text. I suggest: “Within each replicate (indicated by the solid red box) the four nutrient combinations (LNLP, HNHP, HNLP and LNHP) were assigned to 4 main units arranged in a grid according to the experimental design. The three species combinations [grass only (Gra), legume only (Leg) and mixture (Gra Leg)] were randomized to the three consecutive pots within each main unit. Colored blocks indicate 1 pot containing two halves.”</p><p>RESPONSE: We have altered the sentence according to the reviewer’s suggestion.</p><p>145: I suggest to rename this part in “Growing conditions”</p><p>RESPONSE: We have altered the header according to the reviewers suggestion.</p><p>146: please add a sentence to specify growth condition in general, in order to better introduce the experimental conditions and parameters description.</p><p>RESPONSE: Thank you or this suggestion however it is the authors belief that the methods section is already quite lengthy, and much attention has already been paid to demonstrating growth conditions using both text and figures. We have therefore not included more explanation as suggested. </p><p>149-151: please, improve the sentence</p><p>RESPONSE: We have now improved the sentence accordingly:” The plants were physically separated aboveground by a white plastic divider, set 5 cm into the soil and oriented north–south on the conveyor system in the greenhouse for consistency with respect to imaging orientation and solar exposure. The divider allowed intermingling of roots belowground (Fig 2). </p><p>174: I suggest “Fertilisation treatments”</p><p>RESPONSE: We have changed the header per the reviewer’s suggestion</p><p>178-179: please, adjust the sentence, including punctuation and brackets</p><p>RESPONSE: Thank you. We have now separated these sentences for the readers ease.</p><p>182: ratio 9:1</p><p>RESPONSE: Altered. Thank you.</p><p>182-183: adjust punctuation and brackets</p><p>RESPONSE: These alterations have been made, and brackets added around the units of measurement. </p><p>187: indicate in which table number</p><p>RESPONSE: Thank you for this suggestion however this information is not in tabular form but is present and clearly headed in the supplement. </p><p>361-362: add punctuation and adjust brackets</p><p>RESPONSE: These alterations have been made</p><p>367: you can add the reference on equation 1</p><p>RESPONSE: Thank you. This has been added. </p><p>375, 387, 391, 403: correct the figure number</p><p>RESPONSE: These have been corrected. </p><p>376, 380: I guess you should better introduce the use of ratios in the main text, maybe in the section 2.10</p><p>RESPONSE: We have now included this part in the section “Calculating overyielding from sPSA DAP 70 values”: We have altered the text accordingly: “Ymix is the observed yield of species i in mixture and Ymon is the observed yield of species i in monoculture expressed as a ratio (Ygra(Mix):Ygra and Yleg(Mix):Yleg).</p><p>376-382: please, improve this part</p><p>RESPONSE: We have broken down the sections and improved the structure accordingly: “At the whole pot level, productivity in mixtures increased in all treatments. On average, the LNHP treatment increased by 27%, followed by LNLP which increased 21%, then HNLP which increased 20% and finally HNHP which was 10% more productive in mixture” </p><p>393-400: caption is not so clear; you could improve it moving some informations in the main text and reorganizing the text in order to promote immediate understanding</p><p>RESPONSE: Thank you for this suggestion. We have now moved the larger proportion of the figure caption up into the section “Calculations of overyielding” and made the caption text clearer. </p><p>422-424: explain in the caption text what Gra (Leg) and Leg (Gra) mean</p><p>RESPONSE: This has now been added to the figure caption.</p><p>443, 454: add a bracket after “shoot N”</p><p>RESPONSE: Added. Thank you.</p><p>456: in all this section, please add tables and figures references.</p><p>RESPONSE: Thank you for this valuable suggestion, we have now added all table and figure references. </p><p>464: delete “in mixture”</p><p>RESPONSE:</p><p>479: add comma after “grasses”</p><p>RESPONSE: Altered.</p><p>528: “conclusion” should have a separate paragraph</p><p>RESPONSE: Thank you. This section is its own separated paragraph with header “Conclusion”</p><supplementary-material content-type="local-data" id="pone.0239673.s002" position="float" orientation="portrait"><label>Attachment</label><caption><p>Submitted filename: <named-content content-type="submitted-filename">PlosOne_Ball_Response to reviewers.docx</named-content></p></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0239673.s002.docx" position="float" orientation="portrait"><?suppdata-name pone.0239673.s002.docx?><?suppdata-size 24213?><?suppdata-md5 307c599bcb6617d886af8efeb283e3cd?><?suppdata-image-server-status NEVER_LOAD?><?suppdata-mime-type application?><?suppdata-mime-sub-type vnd.openxmlformats-officedocument.wordprocessingml.document?><?suppdata-cloudpmc-urn urn:app:69c2/7540849/307c599bcb66/pone.0239673.s002.docx?><caption><p>Click here for additional data file.</p></caption></media></supplementary-material></body></sub-article><sub-article id="pone.0239673.r003" article-type="editor-report"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0239673.r003</article-id><title-group><article-title>Decision Letter 1</article-title></title-group><contrib-group><contrib contrib-type="author"><name name-style="western"><surname>Papa</surname><given-names initials="R">Roberto</given-names></name><role>Academic Editor</role></contrib></contrib-group><permissions><copyright-statement>© 2020 Roberto Papa</copyright-statement><copyright-year>2020</copyright-year><copyright-holder>Roberto Papa</copyright-holder><license xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="reviewed-article" id="rel-obj003" ext-link-type="doi" xlink:href="10.1371/journal.pone.0239673"/><custom-meta-group><custom-meta><meta-name>Submission Version</meta-name><meta-value>1</meta-value></custom-meta></custom-meta-group></front-stub><body><p>
<named-content content-type="letter-date">11 Sep 2020</named-content>
</p><p>High-throughput, image-based phenotyping reveals nutrient-dependent growth facilitation in a grass – legume mixture</p><p>PONE-D-20-20899R1</p><p>Dear Dr. Ball,</p><p>We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.</p><p>Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.</p><p>An invoice for payment will follow shortly after the formal acceptance. To ensure an efficient process, please log into Editorial Manager at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="http://www.editorialmanager.com/pone/">http://www.editorialmanager.com/pone/</ext-link>, click the 'Update My Information' link at the top of the page, and double check that your user information is up-to-date. If you have any billing related questions, please contact our Author Billing department directly at <email>authorbilling@plos.org</email>.</p><p>If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact <email>onepress@plos.org</email>.</p><p>Kind regards,</p><p>Roberto Papa, PhD</p><p>Academic Editor</p><p>PLOS ONE</p><p>Additional Editor Comments (optional):</p><p>Reviewers' comments:</p></body></sub-article><sub-article id="pone.0239673.r004" article-type="editor-report"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0239673.r004</article-id><title-group><article-title>Acceptance letter</article-title></title-group><contrib-group><contrib contrib-type="author"><name name-style="western"><surname>Papa</surname><given-names initials="R">Roberto</given-names></name><role>Academic Editor</role></contrib></contrib-group><permissions><copyright-statement>© 2020 Roberto Papa</copyright-statement><copyright-year>2020</copyright-year><copyright-holder>Roberto Papa</copyright-holder><license xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><related-article xmlns:xlink="http://www.w3.org/1999/xlink" id="rel-obj004" ext-link-type="doi" xlink:href="10.1371/journal.pone.0239673" related-article-type="reviewed-article"/></front-stub><body><p>
<named-content content-type="letter-date">28 Sep 2020</named-content>
</p><p>PONE-D-20-20899R1 </p><p>High-throughput, image-based phenotyping reveals nutrient-dependent growth facilitation in a grass - legume mixture </p><p>Dear Dr. Ball:</p><p>I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department. </p><p>If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact <email>onepress@plos.org</email>.</p><p>If we can help with anything else, please email us at <email>plosone@plos.org</email>. </p><p>Thank you for submitting your work to PLOS ONE and supporting open access. </p><p>Kind regards, </p><p>PLOS ONE Editorial Office Staff</p><p>on behalf of</p><p>Prof. Roberto Papa </p><p>Academic Editor</p><p>PLOS ONE</p></body></sub-article></article>