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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Archaeol.</journal-id>
<journal-title>Frontiers in Environmental Archaeology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Archaeol.</abbrev-journal-title>
<issn pub-type="epub">2813-432X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fearc.2024.1488754</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Archaeology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Rice stable carbon and nitrogen isotope values as potential indicators of watering and manuring regimes</article-title>
</title-group>
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<name><surname>Wu</surname> <given-names>Rubi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
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<name><surname>Belfield</surname> <given-names>Eric J.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author">
<name><surname>Dong</surname> <given-names>Yu</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<name><surname>Feng</surname> <given-names>Shangzong</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
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<name><surname>Fu</surname> <given-names>Xiangdong</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
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<name><surname>Harberd</surname> <given-names>Nicholas P.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<name><surname>Yang</surname> <given-names>Fan</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
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<name><surname>Charles</surname> <given-names>Michael</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<name><surname>Bogaard</surname> <given-names>Amy</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>School of Archaeology, University of Oxford</institution>, <addr-line>Oxford</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Archaeology, Shandong University</institution>, <addr-line>Jinan</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Biology, University of Oxford</institution>, <addr-line>Oxford</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff4"><sup>4</sup><institution>Institute of Cultural Heritage, Shandong University</institution>, <addr-line>Qingdao</addr-line>, <country>China</country></aff>
<aff id="aff5"><sup>5</sup><institution>Agricultural Technology Centre, Linyi Municipal Bureau of Agriculture and Rural Affairs</institution>, <addr-line>Linyi</addr-line>, <country>China</country></aff>
<aff id="aff6"><sup>6</sup><institution>Institute of Genetics and Developmental Biology, Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff7"><sup>7</sup><institution>Archaeology Lab and Preservation Research Institute, China National Centre for Archaeology</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Darren R. Gr&#x000F6;cke, Durham University, United Kingdom</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Xinyi Liu, Washington University in St. Louis, United States</p>
<p>Ferran Antol&#x000ED;n, Deutsches Arch&#x000E4;ologisches Institut, Germany</p>
<p>Asta Rand, Memorial University of Newfoundland, Canada</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Rubi Wu <email>rubi.wu2023&#x00040;hotmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>3</volume>
<elocation-id>1488754</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>12</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2025 Wu, Belfield, Dong, Feng, Fu, Harberd, Yang, Charles and Bogaard.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Wu, Belfield, Dong, Feng, Fu, Harberd, Yang, Charles and Bogaard</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Rice (<italic>Oryza sativa</italic> L.) is an important cereal crop across East, South and Southeast Asia, from prehistory to today, and grows in a range of ecological conditions, from rainfed upland to deep water. Previous research on early rice in the Lower Yangtze River basin (LYRB) suggested shifts back and forth over time between wet and dry field conditions, and some application of animal dung and/or human feces as fertilizer. In this study, stable carbon and nitrogen isotope analysis was conducted on grains from rice of heritage landraces and modern varieties grown in a glasshouse pot experiment with three watering levels and two manuring levels, and from recent rice fields in China and South Korea including paddy and dry conditions, and with variable manuring histories. The pot experiment results indicate that there is a negative correlation between the &#x003B4;<sup>13</sup>C values and watering levels in one heritage accession and three modern accessions; in the remaining two heritage accessions and one modern accession, a similar trend in &#x003B4;<sup>13</sup>C values is observed between watering levels. The rice field results show that, similarly, the &#x003B4;<sup>13</sup>C values of rice from paddy fields were significantly lower than those from dry fields. The results from the pot experiment also indicate that both watering and manuring tend to increase the &#x003B4;<sup>15</sup>N values of rice grains, while the field samples show that intensive manuring in initial growing seasons does not have a consistent effect on rice &#x003B4;<sup>15</sup>N values. Overall, stable carbon and nitrogen isotope values of rice grains appear to be useful indicators of water status, with potential in combination to disentangle watering and manuring practices.</p></abstract>
<kwd-group>
<kwd>stable isotope analysis</kwd>
<kwd>rice farming</kwd>
<kwd>watering regimes</kwd>
<kwd>manuring regimes</kwd>
<kwd>Lower Yangtze River basin</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="8"/>
<equation-count count="3"/>
<ref-count count="113"/>
<page-count count="21"/>
<word-count count="15455"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Archaeological Isotope Analysis</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Stable carbon and nitrogen isotope analysis of cereal grains and pulse seeds has been proved a useful technique for indicating crop water status and soil nitrogen composition in modern experiments and farming systems in Europe, western Asia and west Africa (e.g., Araus et al., <xref ref-type="bibr" rid="B2">1997</xref>; Bogaard et al., <xref ref-type="bibr" rid="B6">2007</xref>; Fraser et al., <xref ref-type="bibr" rid="B25">2011</xref>; Wallace et al., <xref ref-type="bibr" rid="B87">2013</xref>; Styring et al., <xref ref-type="bibr" rid="B74">2016</xref>, <xref ref-type="bibr" rid="B75">2017</xref>, <xref ref-type="bibr" rid="B76">2019a</xref>,<xref ref-type="bibr" rid="B77">b</xref>; Christensen et al., <xref ref-type="bibr" rid="B13">2022</xref>; Dong et al., <xref ref-type="bibr" rid="B19">2022</xref>). This method can be used to investigate past crop husbandry practices, including water management and manuring (Araus et al., <xref ref-type="bibr" rid="B2">1997</xref>, <xref ref-type="bibr" rid="B3">1999</xref>; Ferrio et al., <xref ref-type="bibr" rid="B24">2005</xref>; Bogaard et al., <xref ref-type="bibr" rid="B6">2007</xref>; Fraser et al., <xref ref-type="bibr" rid="B25">2011</xref>; Aguilera et al., <xref ref-type="bibr" rid="B1">2012</xref>; Bogaard et al., <xref ref-type="bibr" rid="B5">2013</xref>; Araus et al., <xref ref-type="bibr" rid="B4">2014</xref>; Styring et al., <xref ref-type="bibr" rid="B74">2016</xref>, <xref ref-type="bibr" rid="B75">2017</xref>; Stroud et al., <xref ref-type="bibr" rid="B73">2021</xref>; Nayak et al., <xref ref-type="bibr" rid="B62">2022</xref>) and to inform palaeodietary reconstruction (Fraser et al., <xref ref-type="bibr" rid="B26">2013</xref>; Nitsch et al., <xref ref-type="bibr" rid="B63">2017</xref>; Styring et al., <xref ref-type="bibr" rid="B75">2017</xref>; Vaiglova et al., <xref ref-type="bibr" rid="B86">2021</xref>). Most applications so far are to cereal crops other than rice (<italic>Oryza sativa</italic> L.), such as wheats (e.g., <italic>Triticum aestivum</italic> L.), barleys (e.g., <italic>Hordeum vulgare</italic> L.), and millets [<italic>Panicum miliaceum</italic> L.<italic>; Setaria italica</italic> (L.) P. Beauv.] (e.g., Dong et al., <xref ref-type="bibr" rid="B19">2022</xref>; Li et al., <xref ref-type="bibr" rid="B54">2022</xref>; Tian et al., <xref ref-type="bibr" rid="B84">2022</xref>).</p>
<p>Rice is an important annual cereal crop cultivated across East, South, and Southeast Asia, from prehistory until today. It adapts to various environmental conditions, from deep water to rainfed upland systems (Fuller et al., <xref ref-type="bibr" rid="B27">2011</xref>). These different regimes have contrasting implications for the ecology of early rice-growing societies (Weisskopf et al., <xref ref-type="bibr" rid="B92">2015</xref>). For example, to cope with various water levels and management, fields developed in size and structure. The analysis of stable carbon and nitrogen isotope values of rice to investigate rice growing practices such as watering and manuring regimes can be traced back to the 1990s (Yoneyama et al., <xref ref-type="bibr" rid="B100">1990</xref>) and has recently been applied to modern and archaeological studies (Kaushal et al., <xref ref-type="bibr" rid="B46">2016</xref>; Yoneda et al., <xref ref-type="bibr" rid="B99">2019</xref>; Shoda et al., <xref ref-type="bibr" rid="B72">2021</xref>; Nayak et al., <xref ref-type="bibr" rid="B62">2022</xref>; Wang et al., <xref ref-type="bibr" rid="B89">2022</xref>). The relationship between rice stable carbon and nitrogen isotope values and growing conditions, however, requires more experimental investigation to assess cause and effect, as well as to compare across different rice varieties. The aim of the present study is to evaluate stable carbon and nitrogen isotope values in modern experimentally grown rice as potential indicators of watering and/or manuring regimes.</p>
<sec>
<title>1.1 Ecological and archaeological background</title>
<p>There are three wild rice species distributed in modern China: <italic>O. rufipogon</italic> Griff., <italic>O. officinalis</italic> Wall. ex Watt and <italic>O. meyeriana</italic> (Zoll. &#x00026; Moritzi) Baill. Only <italic>O. rufipogon</italic> is discussed here as it is the ancestor of <italic>O. sativa</italic> ssp. <italic>japonica</italic>, which was domesticated in China (Fuller and Qin, <xref ref-type="bibr" rid="B28">2009</xref>; Fuller et al., <xref ref-type="bibr" rid="B30">2010</xref>; Lv, <xref ref-type="bibr" rid="B60">2013</xref>; Gross and Zhao, <xref ref-type="bibr" rid="B35">2014</xref>; Choi et al., <xref ref-type="bibr" rid="B12">2017</xref>; Ishikawa et al., <xref ref-type="bibr" rid="B43">2020</xref>). <italic>O. rufipogon</italic> is a perennial that flourishes in wet environments (Pang and Chen, <xref ref-type="bibr" rid="B64">2002</xref>). Sano et al. (<xref ref-type="bibr" rid="B70">1980</xref>) found that, when the water level was stable, wild rice populations were predominantly perennials, depending on vegetative propagation from their roots; in temporary swamp habitats, plants relied instead on grains for sexual propagation, following an annual habit. Fuller and Qin (<xref ref-type="bibr" rid="B28">2009</xref>) suggested that wild rice stands under more water&#x02013;stressed conditions produced more grains. Consequently, water availability is a critical factor in wild rice reproductive strategies. The domestication of rice fundamentally changed the life cycle of this plant as domesticated rice is an annual dependent on seed production, while its ancestor is perennial and relies on vegetative or sexual propagation depending on water availability. Overall, assessing the water status of early rice informs our understanding of how human management shaped rice domestication.</p>
<p>The Lower Yangtze River basin (LYRB) (<xref ref-type="fig" rid="F1">Figure 1</xref>) is a center of early rice domestication (Zheng and Jiang, <xref ref-type="bibr" rid="B110">2007</xref>; Fuller et al., <xref ref-type="bibr" rid="B29">2009</xref>). Abundant rice remains have been found at multiple Neolithic sites in this region, ranging from the Shangshan culture (10,000&#x02013;8,000 BP) to the Guangfulin culture (4,000&#x02013;3,800 BP) (e.g., Liu et al., <xref ref-type="bibr" rid="B58">2007</xref>; Guo, <xref ref-type="bibr" rid="B36">2014</xref>; Wu et al., <xref ref-type="bibr" rid="B94">2014</xref>; Ma et al., <xref ref-type="bibr" rid="B61">2016</xref>; Zhao, <xref ref-type="bibr" rid="B107">2018</xref>; Zhang et al., <xref ref-type="bibr" rid="B105">2024</xref>). The earliest evidence of irrigation can be traced back to the Early Hemudu culture (around 6,700 BP to 6,500 BP) at the Shi&#x00027;ao site, with ridges and water inlets/outlets forming paddy fields (Wang et al., <xref ref-type="bibr" rid="B90">2023</xref>) (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table 1</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Locations of archaeological sites and experimental fields in this study.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0001.tif"/>
</fig>
<p>Although early rice remains from the LYRB are generally presumed to represent paddy rice, there is evidence of variation in wetness between and within sites. Phytoliths of rice and associated weeds in rice fields can be classified as fixed types or sensitive types; fixed types appear regardless of the wetness of fields, while sensitive-type phytoliths decrease in proportion when the environment is dry. Thus, the ratio of fixed: sensitive types of phytoliths should reflect the degree of rice field wetness (Weisskopf et al., <xref ref-type="bibr" rid="B92">2015</xref>). Phytolith analysis on Neolithic sites suggested that rice was grown in paddy habitats similar to wild rice at Tianluoshan (6,800&#x02013;6,500 BP), while drier conditions similar to modern rainfed fields were inferred at Caoxieshan (5,950&#x02013;5,700 BP), suggesting water control to encourage rice grain production. The drier conditions (drainage to control water level) at Caoxieshan might be realized through small size fields (usually &#x0003C; 10 m<sup>2</sup>) combined with facilities such as deeply dug reservoirs and channels (Fuller and Qin, <xref ref-type="bibr" rid="B28">2009</xref>). This pattern of paddy fields was commonly found in sites around the Taihu Lake (Ding, <xref ref-type="bibr" rid="B17">2004</xref>, <xref ref-type="bibr" rid="B18">2010</xref>; Qiu et al., <xref ref-type="bibr" rid="B66">2013</xref>, <xref ref-type="bibr" rid="B67">2014</xref>; Gao, <xref ref-type="bibr" rid="B32">2017</xref>; Liu, <xref ref-type="bibr" rid="B59">2021</xref>). At the later site of Maoshan (5,000&#x02013;4,300 BP), rice again grew under wet conditions in large-scale paddy field systems, which were framed by regular intersecting channels and ridges (Zheng et al., <xref ref-type="bibr" rid="B109">2014</xref>). Alternating wet-dry conditions have been inferred from soil micromorphological analysis at Maoshan (Zhuang et al., <xref ref-type="bibr" rid="B112">2014</xref>).</p>
<p>In addition to watering, manuring regimes of archaeological rice fields have also been considered in previous studies, primarily using geoarchaeological methods. Cao (<xref ref-type="bibr" rid="B9">2008</xref>) found that the surface soils of paddy fields from the site of Chuodun had similar values for SOM (soil organic matter), TN (total nitrogen), and TK (total potassium) but higher TP (total phosphorus) and AP (available phosphorus) compared to modern paddy fields, suggesting a long-term application of animal residues as manure. Soil micromorphological analysis provides evidence of animal dung and human feces as fertilizers, as shown at Maoshan (Zhuang et al., <xref ref-type="bibr" rid="B112">2014</xref>). In addition, fungal spores have been interpreted to indicate soil disturbance, erosion and dung decomposition (Zong et al., <xref ref-type="bibr" rid="B113">2007</xref>). Growth experiments can provide novel insights into the impact of factors like watering and manuring on the &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values of different rice accessions, which directly show the growing conditions of rice plants.</p>
</sec>
<sec>
<title>1.2 The carbon cycle in paddy vs. dryland rice fields</title>
<p>Carbon has two stable isotopes, <sup>12</sup>C and <sup>13</sup>C. The ratio between the two stable isotopes is expressed as &#x003B4;<sup>13</sup>C values (<xref ref-type="disp-formula" rid="E1">Equation 1</xref>), where R<sub><italic>sample</italic></sub> and R<sub><italic>standard</italic></sub> are the abundance ratios (<sup>13</sup>C/<sup>12</sup>C) of the sample and the standard (PDB), respectively (Farquhar et al., <xref ref-type="bibr" rid="B22">1982</xref>). Carbon isotope discrimination (&#x00394;<sup>13</sup>C) directly expresses the consequence of photosynthesis and is widely used as an indicator for water use efficiency (WUE) of plants (Farquhar and Richards, <xref ref-type="bibr" rid="B23">1984</xref>). &#x00394;<sup>13</sup>C can be expressed using &#x003B4;<sup>13</sup>C values of atmospheric CO<sub>2</sub> and of plant (<xref ref-type="disp-formula" rid="E2">Equation 2</xref>) (Farquhar et al., <xref ref-type="bibr" rid="B22">1982</xref>).</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msup><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup><mml:mi>C</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x02030;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>a</mml:mi><mml:mi>m</mml:mi><mml:mi>p</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1000</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msup><mml:mrow><mml:mo>&#x00394;</mml:mo></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mi>i</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mn>1000</mml:mn></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>In plant physiology, plant growth (the accumulation of dry matter) mainly depends on photosynthesis. The majority of carbon in plants comes from immobilized CO<sub>2</sub> from the air (Farquhar et al., <xref ref-type="bibr" rid="B21">1989</xref>; Xiao, <xref ref-type="bibr" rid="B96">2017</xref>). When there is sufficient water supply, <sup>12</sup>CO<sub>2</sub> is preferentially fixed through photosynthesis over <sup>13</sup>CO<sub>2</sub>, resulting in a low abundance of <sup>13</sup>C in the fixed CO<sub>2</sub>. However, when water availability is limited, the fractionation of <sup>13</sup>CO<sub>2</sub> is less significant and the &#x003B4;<sup>13</sup>C value increases (Farquhar and Richards, <xref ref-type="bibr" rid="B23">1984</xref>; Farquhar et al., <xref ref-type="bibr" rid="B21">1989</xref>; Ehleringer et al., <xref ref-type="bibr" rid="B20">1993</xref>; Wallace et al., <xref ref-type="bibr" rid="B87">2013</xref>; Styring et al., <xref ref-type="bibr" rid="B74">2016</xref>). This is because in a dry environment, stomata in leaves will close to reduce evaporation. Plants then preferentially take up CO<sub>2</sub> from inter&#x02013;cellular space, leading to the remaining dissolved CO<sub>2</sub> in cells to become enriched in <sup>13</sup>C. In addition, lower stomatal conductance is disadvantageous for external CO<sub>2</sub> to enter leaf cells. Thus, paddy rice grown in waterlogged conditions is expected to have lower &#x003B4;<sup>13</sup>C values than dry rice, as previously observed in west Asian cereals like wheats and barleys (e.g., Araus et al., <xref ref-type="bibr" rid="B2">1997</xref>, <xref ref-type="bibr" rid="B3">1999</xref>; Wallace et al., <xref ref-type="bibr" rid="B87">2013</xref>, <xref ref-type="bibr" rid="B88">2015</xref>; Bogaard et al., <xref ref-type="bibr" rid="B7">2016</xref>; Styring et al., <xref ref-type="bibr" rid="B74">2016</xref>).</p>
<p>Previous studies have observed a relationship between the stable carbon isotopic composition of rice and water availability (see citations in <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 2</xref>). For example, Gao et al. (<xref ref-type="bibr" rid="B31">2018</xref>) reported pot experiments showing that, under water stress, rice leaves of both <italic>japonica</italic> landrace Qiuguang and heritage <italic>indica</italic> landrace Qishanzhan had higher &#x003B4;<sup>13</sup>C values than leaves of better watered plants. Furthermore, high water stress was associated with a higher &#x003B4;<sup>13</sup>C value compared with low and medium water stress conditions.</p>
<p>Kaushal et al. (<xref ref-type="bibr" rid="B46">2016</xref>) analyzed rice grains in India and proposed that, for the same genotype of rice, higher &#x003B4;<sup>13</sup>C values were found in dry season rice compared to wet season rice. This could be a result of both a drop in relative humidity and increase in water salinity (as sea water incursion led to the enrichment of the heavier isotope, <sup>13</sup>C). Kaushal and Ghosh (<xref ref-type="bibr" rid="B45">2018</xref>) also found that &#x003B4;<sup>13</sup>C values reflect relative humidity. They tested 105 rice genotypes grown in distinct topographic settings and climatic zones in the southwest monsoon season in India. A significant negative trend was found between &#x003B4;<sup>13</sup>C values in rice grains and relative humidity using linear regression. Similar results were observed by Nayak et al. (<xref ref-type="bibr" rid="B62">2022</xref>), such that rice grains from the South Deccan (a semi-arid region) had higher &#x003B4;<sup>13</sup>C values than those from East India (a monsoon region).</p>
<p>Different rice genotypes have different water use efficiency (WUE), shown by &#x00394;<sup>13</sup>C values of rice leaves (Impa et al., <xref ref-type="bibr" rid="B42">2005</xref>) or various rice plant organs (such as panicles, though grains were not tested) (Kano-Nakata et al., <xref ref-type="bibr" rid="B44">2014</xref>). Centritto et al. (<xref ref-type="bibr" rid="B10">2009</xref>) studied leaves of five upland-adapted cultivars and three lowland cultivars and found greater variations in &#x00394;<sup>13</sup>C values across genotypes than across water conditions. These findings showed that variations between rice genotypes/accessions also require consideration when interpreting carbon isotopic values of archaeological rice samples. The most direct inferences on water status are accessible from variation <italic>within</italic> local rice populations in archaeobotanical assemblages.</p>
</sec>
<sec>
<title>1.3 The nitrogen cycle in paddy vs. dryland rice fields</title>
<p>Nitrogen has two stable isotopes, <sup>14</sup>N and <sup>15</sup>N. The ratio between the two stable isotopes is expressed as &#x003B4;<sup>15</sup>N values (<xref ref-type="disp-formula" rid="E3">Equation 3</xref>), where R<sub><italic>sample</italic></sub> and R<sub><italic>standard</italic></sub> are the abundance ratios (<sup>15</sup>N/<sup>14</sup>N) of the sample and the standard (AIR), respectively (Robinson, <xref ref-type="bibr" rid="B68">2001</xref>).</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msup><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>15</mml:mn></mml:mrow></mml:msup><mml:mi>N</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x02030;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>a</mml:mi><mml:mi>m</mml:mi><mml:mi>p</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1000</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Nitrogen is the most important mineral nutrient for rice. It participates in the production of a series of important substances, such as nucleic acids, amino acids, phospholipids, chlorophyll and endogenous hormones (Hu et al., <xref ref-type="bibr" rid="B39">2017</xref>). Inorganic nitrogen is the main nitrogen source for plants but only accounts for 1%&#x02212;2% of the total nitrogen in soils. Apart from a small proportion of organic compounds like amino acids, most organic nitrogen is transformed into inorganic nitrogen by microbes in soils before uptake by plants (Hu et al., <xref ref-type="bibr" rid="B39">2017</xref>). Plants mainly take up two forms of inorganic nitrogen: ammonium (<inline-formula><mml:math id="M4"><mml:msubsup><mml:mrow><mml:mtext>NH</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>), produced by biological N<sub>2</sub> fixation (nitrogen-fixing microorganisms convert N<sub>2</sub> into ammonia, which reacts with water and forms ammonium) and mineralization/ammonification (breakdown of complex organic matter molecules into monomeric organic nitrogen compounds and ammonium), and nitrate (<inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>), produced by nitrification (conversion of ammonium into nitrate by nitrifying bacteria) (Denk et al., <xref ref-type="bibr" rid="B16">2017</xref>).</p>
<p>The transformations of nitrogen influence nitrogen isotope fractionation in soils and thus the nitrogen isotope composition of plants (Hedges and Reynard, <xref ref-type="bibr" rid="B38">2007</xref>). In a comparative study of upland crops and paddy rice, Lim et al. (<xref ref-type="bibr" rid="B56">2015</xref>) presented a model in which upland vegetables (cabbage, pepper, onion, and garlic) take up N mainly through ammonification and nitrification processes, with nitrate (<inline-formula><mml:math id="M6"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) as the main N species. Anaerobic waterlogged conditions differentiate the nitrogen cycle of paddy field rice from that of upland crops because they restrict the nitrification process and nitrate production and increase the rate of denitrification. Denitrification converts nitrate to N<sub>2</sub>, causing the remaining nitrate to be enriched in <sup>15</sup>N. Consequently, ammonium becomes the dominant N species in paddy rice, which is directly absorbed by plants. <sup>15</sup>N-enriched nitrate can also be utilized by paddy rice as a secondary N source. Lim et al. (<xref ref-type="bibr" rid="B56">2015</xref>) suggested that these sources together make the &#x003B4;<sup>15</sup>N values of paddy rice (c. &#x0002B;5.6&#x02013;15.5&#x02030;) much higher than those of upland plants (c. &#x0002B;0.3&#x02013;6.4&#x02030;), based on isotopic analysis of homogenized aboveground plant parts. Similarly, Yoneda et al. (<xref ref-type="bibr" rid="B99">2019</xref>) found that paddy rice from experimental fields in wetlands had around 2.5&#x02030; higher &#x003B4;<sup>15</sup>N values than pot-grown dry rice. The contribution of biological nitrogen fixation (BNF) by diazotrophs such as cyanobacteria and <italic>Azolla</italic> to contrasting &#x003B4;<sup>15</sup>N values in dryland crops and paddy rice requires further investigation, but it is clear that BNF contributes to the productivity of paddy fields (De, <xref ref-type="bibr" rid="B15">1939</xref>; Ley et al., <xref ref-type="bibr" rid="B53">1959</xref>; Yoshida and Ancajas, <xref ref-type="bibr" rid="B101">1973</xref>; Ladha et al., <xref ref-type="bibr" rid="B50">1983</xref>; Ladha and Reddy, <xref ref-type="bibr" rid="B49">2003</xref>).</p>
<p>Another agronomic factor that potentially increases the &#x003B4;<sup>15</sup>N values of rice is the application of organic manure. Chung et al. (<xref ref-type="bibr" rid="B14">2017</xref>) observed that organic rice had &#x003B4;<sup>15</sup>N values above &#x0002B;5&#x02030;, while rice grown with synthetic fertilizers had lower values. Yun et al. (<xref ref-type="bibr" rid="B103">2011</xref>) found that pig manure significantly increased the &#x003B4;<sup>15</sup>N values of paddy rice compared to those grown with synthetic fertilizer and hairy vetch (<italic>Vicia villosa</italic> Roth.), though the differences in &#x003B4;<sup>15</sup>N values decreased over time.</p>
<p>Fabaceae forms an important part of green manure applied to modern rice cultivation, such as <italic>Astragalus sinicus</italic> L., <italic>Vicia faba</italic> L., and <italic>Vicia sativa</italic> L. (e.g., Xiao, <xref ref-type="bibr" rid="B97">1963</xref>; Huang and Shi, <xref ref-type="bibr" rid="B40">1964</xref>; Yuan et al., <xref ref-type="bibr" rid="B102">2011</xref>; Xi, <xref ref-type="bibr" rid="B95">2014</xref>). Legumes usually have &#x003B4;<sup>15</sup>N values around 0&#x02030; and the application of such green manure to crops like wheat, barley and potatoes was reported to reduce crops&#x00027; &#x003B4;<sup>15</sup>N values compared to those of the conventional group and the group receiving pig manure (Laursen et al., <xref ref-type="bibr" rid="B51">2013</xref>). Long-term fertilization would not change the &#x003B4;<sup>15</sup>N values of legumes unless there was rather high level of organic manure input over long time (Fraser et al., <xref ref-type="bibr" rid="B25">2011</xref>). Another factor that may dramatically increase the &#x003B4;<sup>15</sup>N values of legumes is using organic manure with high &#x003B4;<sup>15</sup>N values, such as seabird guano (Szpak et al., <xref ref-type="bibr" rid="B79">2014</xref>). In the LYRB during the Neolithic, only a few Fabaceae remains were found at some of the archaeological sites (Qiu, <xref ref-type="bibr" rid="B65">2015</xref>; Gao, <xref ref-type="bibr" rid="B32">2017</xref>) and whether they were used as green manure in rice cultivation is little discussed. The organic manured paddy rice samples in this study include rice grown both with and without green manure of <italic>Vicia faba</italic> (see below), and can be used as a reference when comparing with archaeological samples in the future.</p>
</sec>
<sec>
<title>1.4 Previous work on archaeobotanical rice stable isotopes in East and South Asia</title>
<p>There have been various recent applications of stable carbon and nitrogen isotope analysis to modern rice in agronomic research (see citations in <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 2</xref>). These isotopic values have been measured to assess the growing environment (Liu et al., <xref ref-type="bibr" rid="B57">2012</xref>; Zhang et al., <xref ref-type="bibr" rid="B104">2014</xref>), to quantify root interaction between rice and weeds (Gealy and Fischer, <xref ref-type="bibr" rid="B33">2010</xref>; Gealy and Gealy, <xref ref-type="bibr" rid="B34">2011</xref>), to evaluate planting methods (Cai and Fu, <xref ref-type="bibr" rid="B8">1985</xref>; Li, <xref ref-type="bibr" rid="B55">2012</xref>; Zhao, <xref ref-type="bibr" rid="B106">2017</xref>), to estimate yields (Laza et al., <xref ref-type="bibr" rid="B52">2006</xref>; Wang, <xref ref-type="bibr" rid="B91">2016</xref>), to select featured landraces (Xiong et al., <xref ref-type="bibr" rid="B98">2017</xref>), to authenticate organic crops (Chung et al., <xref ref-type="bibr" rid="B14">2017</xref>), and/or to differentiate their geographical origin (Korenaga et al., <xref ref-type="bibr" rid="B48">2010</xref>; Chen et al., <xref ref-type="bibr" rid="B11">2016</xref>).</p>
<p>There have as yet been few archaeobotanical studies using stable carbon and nitrogen isotope analysis of rice to infer management (e.g., Kaushal et al., <xref ref-type="bibr" rid="B47">2019</xref>; Shoda et al., <xref ref-type="bibr" rid="B72">2021</xref>; Nayak et al., <xref ref-type="bibr" rid="B62">2022</xref>) or to inform palaeodietary reconstruction (e.g., Wu, <xref ref-type="bibr" rid="B93">2017</xref>). Research in China has mainly focused on the LYRB (Gupta et al., <xref ref-type="bibr" rid="B37">2013</xref>; Wu, <xref ref-type="bibr" rid="B93">2017</xref>) and the Central Plains (Tao et al., <xref ref-type="bibr" rid="B81">2022a</xref>,<xref ref-type="bibr" rid="B82">b</xref>; Wang et al., <xref ref-type="bibr" rid="B89">2022</xref>; Tao et al., <xref ref-type="bibr" rid="B83">2023</xref>), two important regions where changes in farming practices and social complexity occurred. In the LYRB, studies have been conducted at the site of Tianluoshan, where the process of rice domestication was ongoing and foraged resources played a major role in human diet (Fuller et al., <xref ref-type="bibr" rid="B29">2009</xref>). Gupta et al. (<xref ref-type="bibr" rid="B37">2013</xref>) reported higher &#x003B4;<sup>15</sup>N values of bulk samples of rice husks (&#x0002B;7.4&#x02030;, <italic>n</italic> = 1, ca. 4,900 BC) and one charred grain (&#x0002B;4.1&#x02030;, 4,700&#x02013;4,500 BC) at Tianluoshan compared to modern chemical fertilized materials collected from the same province (&#x02212;3.8&#x02030; and &#x0002B;0.8&#x02030;, respectively) and suggested the possible use of human waste as manure. However, a baseline of unmanured modern rice from the local environment was lacking, and the reduction in &#x003B4;<sup>15</sup>N values of modern grains due to mineral fertilizer (Yoneyama et al., <xref ref-type="bibr" rid="B100">1990</xref>) was not taken into account. The inference of manuring at Neolithic Tianluoshan therefore requires further investigation.</p>
<p>Wu (<xref ref-type="bibr" rid="B93">2017</xref>) analyzed charred rice grains from layer 8 (4,800 BC) to layer 4 (4,500 BC) at Tianluoshan, with three to five single grains analyzed for each layer to complementing the previous approach based mostly on husk remains. It was observed that more than half of the rice grains yielded &#x003B4;<sup>15</sup>N values higher than &#x0002B;4&#x02030;, as was the case for other plant remains, such as water chestnut, south sour jujube, foxnut, acorn, plum and persimmon. This finding suggested that the commonly used &#x003B4;<sup>15</sup>N value of &#x0002B;0&#x02013;4&#x02030; for plant foods as a baseline in dietary analysis was too low for archaebotanical materials from this region.</p>
<p>Similar challenges of identifying relevant baselines to interpret isotopic data were encountered in studies of rice grains from northern China. These studies (Tao et al., <xref ref-type="bibr" rid="B82">2022b</xref>; Wang et al., <xref ref-type="bibr" rid="B89">2022</xref>; Tao et al., <xref ref-type="bibr" rid="B83">2023</xref>) argued that rice was grown in well-watered, fertile conditions in the Central Plains from around 2,600 BC to 221 BC based on &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values, but their baselines for watering and manuring levels were derived from experiments with wheat, barley and lentil in western Eurasia (Bogaard et al., <xref ref-type="bibr" rid="B5">2013</xref>; Wallace et al., <xref ref-type="bibr" rid="B87">2013</xref>). Whether or not it is appropriate to transfer thresholds of dryland crops in western Eurasia to rice in East Asia remains open to question. Tao et al. (<xref ref-type="bibr" rid="B83">2023</xref>) cited values of rice grains from wetter eastern India and drier South Deccan in Nayak et al. (<xref ref-type="bibr" rid="B62">2022</xref>) but used baselines for wheats in Wallace et al. (<xref ref-type="bibr" rid="B87">2013</xref>) to interpret &#x003B4;<sup>13</sup>C values of rice remains from northern China as well-watered plants. Furthermore, discussion of manuring regimes in these studies needs reconsideration. For paddy rice, the &#x003B4;<sup>15</sup>N values cannot be simply explained as the result of manuring effects if paddy fields naturally have relatively high &#x003B4;<sup>15</sup>N values caused by denitrification, which may obscure any additional effect of manuring.</p>
<p>Recent work was also conducted on charred rice grains from six sites in the Korean peninsula dating from ca. 1,100 BC to 400 AD (Shoda et al., <xref ref-type="bibr" rid="B72">2021</xref>). The consistency of &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values through time led the authors to question the prevailing hypothesis that there was a shift from dry to wet cultivation. The &#x003B4;<sup>15</sup>N values of rice were consistently higher than those of dry crops during this 1,500&#x02013;year period. The authors suggested that the elevated &#x003B4;<sup>15</sup>N values of rice were due to denitrification in paddy field conditions and therefore that paddy rice was grown throughout this period.</p>
<p>Kaushal et al. (<xref ref-type="bibr" rid="B47">2019</xref>) applied their observation that modern dry season rice grains have higher &#x003B4;<sup>13</sup>C values than wet season rice grains to interpret the &#x003B4;<sup>13</sup>C values of archaeological charred rice grains from seven sites in India belonging to the Harappan and other regional cultures, and inferred changes in climatic (dry/wet) conditions. The authors argued that high &#x003B4;<sup>13</sup>C values under low precipitation conditions may also reflect low crop productivity as lower stomatal conductance in dry conditions can be related to a decrease in the influx of CO<sub>2</sub> required for photosynthesis. The lower yield of rice could lead to reduced population density and a deurbanized phase in the late Harappan culture.</p>
<p>Nayak et al. (<xref ref-type="bibr" rid="B62">2022</xref>) analyzed archaeological charred rice grains from monsoonal East India and the western arid Deccan Plateau (where irrigation channels have been discovered at the site of Paithan) dated from around 1,250 BC to 550 AD. Using modern experimental charred rice grains from both regions as a reference, it was suggested that rice grew in a well-watered environments with varying intensity of manure throughout the study period at both the eastern and the western sites.</p>
</sec>
<sec>
<title>1.5 Aims of the study</title>
<p>Whereas rice remains preserved archaeologically are usually charred grains and spikelet bases, or uncharred/waterlogged spikelet bases (e.g., Zheng and Jiang, <xref ref-type="bibr" rid="B110">2007</xref>; Fuller et al., <xref ref-type="bibr" rid="B29">2009</xref>), previous agronomic studies of modern rice isotope values have focused on other plant parts such as roots, shoots and leaves (see citations in <xref ref-type="supplementary-material" rid="SM2">Supplementary Table 2</xref>). As a result, these modern rice isotope values cannot be used for direct comparison with archaeobotanical values. This study presents a controlled growth experiment to investigate the relationships among rice &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values and water and manuring treatments. In addition, samples from modern experimental fields complement those from pot experiments. Field experiments ensure realistic growth conditions and access to physiologically mature grains (Christensen et al., <xref ref-type="bibr" rid="B13">2022</xref>) and scope to explore variability of stable isotope values within and between plots under the same treatment.</p>
<p>Three hypotheses are evaluated in this paper. First, we hypothesize that watering will reduce the &#x003B4;<sup>13</sup>C values of rice grains. A second hypothesis is that paddy conditions will increase rice &#x003B4;<sup>15</sup>N values compared with rice grown under dry conditions. Our third hypothesis is that organic manure will increase the &#x003B4;<sup>15</sup>N values of rice compared with unmanured rice.</p></sec></sec>
<sec id="s2">
<title>2 Materials and methods</title>
<sec>
<title>2.1 Glasshouse pot experiment</title>
<p>A pot experiment was conducted in a glasshouse at the Department of Biology (previously Department of Plant Sciences), University of Oxford, UK. The environmental conditions of the glasshouse were 16 h of daylight and 8 h dark photoperiod, with a 30&#x000B0;C daytime temperature and a 28&#x000B0;C night-time temperature. The irradiance was 800 &#x003BC;mol of photons/m<sup>2</sup> per second and the relative humidity was 80%.</p>
<p>The rice grains for this experiment were partly obtained from the collections of the International Rice Research Institute (IRRI), which provided three heritage domestic varieties (<italic>O. sativa japonica</italic>) from Southeastern Asia (referred to as HER001&#x0007E;HER003, see <xref ref-type="table" rid="T1">Table 1</xref>). Additional rice grains in this experiment were provided by Dr Xiangdong Fu of the Chinese Academy of Sciences; these will be referred to below as &#x0201C;modern&#x0201D; accessions. Modern rice accessions designated with a &#x0201C;W&#x0201D; refers to the &#x0201C;WuYunjing7&#x0201D; variety (MOD001 and MOD002) (<xref ref-type="table" rid="T1">Table 1</xref>) and &#x0201C;S&#x0201D; refers to the &#x0201C;Shao314&#x0201D; variety (MOD003 and MOD004) (<xref ref-type="table" rid="T1">Table 1</xref>). DEP1 (&#x0201C;dense and erect panicle1&#x0201D;) is a genetic locus responsible for determining panicle architecture (density of panicle, grain number per panicle and erectness of panicle), which in turn affects rice grain yields. The mutant DEP1 allele (dep1) (referred to as &#x0201C;dep1&#x0201D; lines), i.e., absence of the DEP1 allele, is a semidwarf form that exhibits increased rice grain yields compared with plants having the DEP1 allele (referred to as &#x0201C;DEP1&#x0201D; lines) (<xref ref-type="table" rid="T1">Table 1</xref>) (Huang et al., <xref ref-type="bibr" rid="B41">2009</xref>). An initial trial experiment was conducted to determine suitable soil media, growing methods and organic manuring rates (see <xref ref-type="supplementary-material" rid="SM1">Supplementary material 1</xref> &#x0201C;Initial trial experiment in 2018&#x0201D; for details).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Rice plants sown and harvested in the pot experiment.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>ID</bold></th>
<th valign="top" align="left"><bold>Species</bold></th>
<th valign="top" align="left"><bold>Accession</bold></th>
<th valign="top" align="center"><bold>1% M, low W</bold></th>
<th valign="top" align="center"><bold>1% M, med W</bold></th>
<th valign="top" align="center"><bold>1% M, high W</bold></th>
<th valign="top" align="center"><bold>5% M, med W</bold></th>
<th valign="top" align="center"><bold>5% M, high W</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">HER001</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">IRGC 117264</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3[2]</td>
<td valign="top" align="center">3[2]</td>
</tr> <tr>
<td valign="top" align="left">HER002</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">IRGC 128438</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
</tr> <tr>
<td valign="top" align="left">HER003</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">IRGC 132278</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
</tr> <tr>
<td valign="top" align="left">MOD001</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">Rice W-DEP1 [WuYunJing7]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">NA</td>
<td valign="top" align="center">NA</td>
</tr> <tr>
<td valign="top" align="left">MOD002</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">Rice W-dep1 [WuYunJing7]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">NA</td>
<td valign="top" align="center">NA</td>
</tr> <tr>
<td valign="top" align="left">MOD003</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">Rice S-DEP1 [Shao314]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">NA</td>
<td valign="top" align="center">NA</td>
</tr> <tr>
<td valign="top" align="left">MOD004</td>
<td valign="top" align="left"><italic>O. sativa japonica</italic></td>
<td valign="top" align="left">Rice S-dep1 [Shao313]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">NA</td>
<td valign="top" align="center">NA</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>1. M, manuring; W, watering. 2. 1% (5%) manuring = 1% (5%) organic matter content in the mixed soil. 3. For further explanation of watering levels, see <xref ref-type="table" rid="T2">Table 2</xref>. 4. If there are brackets, the numbers in them are number of rice harvested. 5. Information from IRRI (International Rice Research Institute) on heritage accessions in this experiment: IRGC 117264 (Azucena): Philippines, traditional upland tropical <italic>japonica</italic> with aroma; IRGC 128438 (PULUT MAS::IRGC 82676-1): Indonesia, traditional tropical <italic>japonica</italic>; and IRGC 132278 (CHAO MEO::IRGC 80273-1): Laos, traditional subtropical <italic>japonica</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>On 25th May 2018, rice grains of all accessions (<xref ref-type="table" rid="T1">Table 1</xref>) were placed on moistened paper in petri dishes and moved to a germination cupboard. Germinated grains were planted in pots after 3 days (three grains per pot to allow for unsuccessful growth) and thinned out to one on the 18<sup>th</sup> of June. Three levels of watering treatment (low, medium/med, high; see <xref ref-type="table" rid="T2">Table 2</xref>) and two levels of manuring treatment (1% and 5% manuring level, i.e., 1% and 5% organic matter content in the mixed soil, respectively) were set in this experiment (<xref ref-type="table" rid="T1">Table 1</xref>). The 5% manuring level was only applied to heritage landraces due to the limited amount of grains of modern accessions. For each variety, 3 pots were grown under each watering treatment. Pots were randomized in terms of position within the glasshouse every 2 or 3 days to reduce potential edge effects and to decrease the influence of uneven artificial lighting in the glasshouse. A nutrient solution (see <xref ref-type="supplementary-material" rid="SM1">Supplementary material 1</xref> &#x0201C;Initial trial experiment in 2018&#x0201D;) was applied every 2 weeks.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Watering treatments in the pot experiment.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>Water level</bold></th>
<th valign="top" align="left"><bold>Sowing to 3-leaf stage</bold></th>
<th valign="top" align="left"><bold>3-leaf stage to flowering</bold></th>
<th valign="top" align="left"><bold>Flowering to harvest</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Low</td>
<td valign="top" align="left" colspan="3">100% saturated</td>
</tr> <tr>
<td valign="top" align="left">Medium</td>
<td valign="top" align="left">100% saturated</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">100% saturated</td>
</tr> <tr>
<td valign="top" align="left">High</td>
<td valign="top" align="left">100% saturated</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Paddy</td>
</tr></tbody>
</table>
</table-wrap>
<p>For all of the pots, a 2&#x02013;3 cm depth water level above the soil was maintained in each tray until the 24<sup>th</sup> of June, when plants reached the 3-leaf stage. The 3-leaf stage is reached when the rice develops three true leaves (the first&#x02013;developed leaf has a sheath but no blade, so is not counted), which indicates the end of the seedling stage and the start of the tillering stage (Zhejiang Agronomy University, <xref ref-type="bibr" rid="B108">1980</xref>). Before the 3-leaf stage, rice seedlings grow by consuming the substances stored in the endosperm. Subsequently seedlings became autotrophy through photosynthesis (Shao et al., <xref ref-type="bibr" rid="B71">2008</xref>).</p>
<p>Pots of medium and high watering level were moved to deep plastic trays (each containing 3 liters of water) to replicate paddy conditions (2&#x02013;3 cm of water above soil). Low watering level pots remained in shallow trays and were kept at 100% soil saturation by observing daily whether there was remaining water in trays; if there was no water left, 170 g of water (per pot) was added to achieve saturation. This amount was the capacity of the growing medium (clay granules) in one pot.</p>
<p>A short-day treatment was introduced on the 25<sup>th</sup> of June (daylight from 9 am to 6.30 pm) to trigger flowering. Rice plants started flowering in August. By this time pots of medium watering level were moved back to shallow trays for saturated conditions, while high watering level pots remained in deep trays with paddy condition until harvest. The medium watering level was designed with reference to the phytolith analysis by Weisskopf et al. (<xref ref-type="bibr" rid="B92">2015</xref>), which suggested that drainage was applied to increase the production of grains in Neolithic fields of the LYRB. Ideally rice plants grown in paddy fields cycle through wet and dry conditions several times during the growth period to provide intermittent air ventilation for roots (Zhejiang Agronomy University, <xref ref-type="bibr" rid="B108">1980</xref>). Rice plants (medium watering level) in this pot experiment were moved from wet to dry conditions once, at the flowering stage.</p>
<p>Rice was harvested from the 17<sup>th</sup> to 21<sup>st</sup> of September, when the grains were fully ripe. For heritage landrace HER001 (117264), one of three plants under the 5% manuring level, medium and high watering levels did not survive (<xref ref-type="table" rid="T1">Table 1</xref>). Growth information such as the length of the growing period, the height of rice replicates, water input and so forth is shown in the <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 1</xref>&#x02013;<xref ref-type="supplementary-material" rid="SM3">3</xref>. Different from other heritage landraces, HER002 (128438) behaved similarly to modern varieties in terms of growth rate (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 2A</xref>&#x02013;<xref ref-type="supplementary-material" rid="SM1">C</xref>) while for plant height, heritage landraces were usually taller than modern varieties (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 3</xref>). In addition, for all accessions, high watering level plants had shortest height while low watering level ones were tallest. Similar findings have been observed by Zhu et al. (<xref ref-type="bibr" rid="B111">2013</xref>).</p>
</sec>
<sec>
<title>2.2 Field collections</title>
<p>Rice samples were also collected from modern, mostly organic fields in South Korea and China from 2016 to 2020 (<xref ref-type="table" rid="T3">Table 3</xref>, <xref ref-type="fig" rid="F1">Figure 1</xref>), to complement the glasshouse experiment and further test the hypotheses of this paper. These samples cover different water regimes (both paddy rice and dry rice) as well as various manuring regimes (different levels of organic manure and/or chemical fertilizer).</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Information of modern fields samples.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>Collection</bold></th>
<th valign="top" align="left"><bold>Year</bold></th>
<th valign="top" align="left"><bold>Paddy/ Dry</bold></th>
<th valign="top" align="left"><bold>Manure type</bold></th>
<th valign="top" align="left"><bold>Sampling place</bold></th>
<th valign="top" align="center"><bold>Manure per 666.7 m<sup>2</sup></bold></th>
<th valign="top" align="center"><bold>Number of samples</bold></th>
<th valign="top" align="center" colspan="2"><bold>Per sample</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#8f9496;color:#ffffff">
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left"><bold>Number of panicles sampled</bold></td>
<td valign="top" align="left"><bold>Number of grains</bold></td>
</tr> <tr>
<td valign="top" align="left">South Korea</td>
<td valign="top" align="left">2016</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Organic</td>
<td valign="top" align="left">Buyeo</td>
<td valign="top" align="left">Brand &#x0201C;ECO&#x0201D;</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">50</td>
</tr> <tr>
<td valign="top" align="left">Shanghai, China</td>
<td valign="top" align="center">2017</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Organic/ control</td>
<td valign="top" align="left">Anyway Farm</td>
<td valign="top" align="left">Control 0 kg</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">2 or 3</td>
<td valign="top" align="center">60</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Bokashi 5 kg [80 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">2 or 3</td>
<td valign="top" align="center">60</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 5 kg [220 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">2 or 3</td>
<td valign="top" align="center">60</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 10 kg [440 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">2 or 3</td>
<td valign="top" align="center">60</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 40 kg [1740 kg]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">2 or 3</td>
<td valign="top" align="center">60</td>
</tr> <tr>
<td valign="top" align="left">Shanghai, China</td>
<td valign="top" align="center">2019</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Organic/ control</td>
<td valign="top" align="left">Anyway Farm</td>
<td valign="top" align="left">Control</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Bokashi 5 kg [80 kg manure]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 5 kg [220 kg manure]</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 10 kg [440 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 40 kg [1740 kg]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">50</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="center">2019</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Chemical/ control</td>
<td valign="top" align="left">Hesheng Coop-experimental fields (location 1)</td>
<td valign="top" align="left">Plot1-control 0 kg</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot2-NPK (17:17:17) 67.5 kg</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot3-NPK (17:17:17) 37.5 kg</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">50</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="center">2019</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Chemical fertilizer and organic manure</td>
<td valign="top" align="left">Dongshuihu Village (location 2)</td>
<td valign="top" align="left">Base: NPK (20:10:20) 50 kg and organic manure 40 kg; tiller: urea 16 kg</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">50</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="center">2019</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Chemical fertilizer and organic manure</td>
<td valign="top" align="left">Huayi Coop (location 3)</td>
<td valign="top" align="left">Plot1 Yueguang Direct Sowed; base: NPK (25:8:15) 25 kg and organic manure 40 kg; tiller: NPKS 5 kg</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot2 Yueguang Transplanted; base: NPK (25:8:15) 25 kg and organic manure 40 kg; tiller: NPKS 5 kg</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">50</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot3 Tianjin128 Transplanted; base: NPK (25:8:15) 25 kg and organic manure 40 kg; tiller: NPKS 5 kg</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">50</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="center">2020</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Chemical fertilizer</td>
<td valign="top" align="left">Hesheng Coop</td>
<td valign="top" align="left">Base: NPK (20:10:20) 40 kg; tiller: urea 18 kg</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">50</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="center">2020</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Chemical fertilizer and organic manure</td>
<td valign="top" align="left">Hesheng Coop</td>
<td valign="top" align="left">Base: NPK (18:18:18) 45 kg and organic manure 40 kg; tiller: urea 17 kg</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">50</td>
</tr></tbody>
</table>
</table-wrap>
<p>The South Korean paddy rice samples all derived from the same watering and manuring treatment at the same farm in Buyeo (126&#x000B0;50&#x00027;29.6&#x0201D;E, 36&#x000B0;10&#x00027;24.1&#x0201D;N, c. 40&#x02013;60 m asl). Green manure crops (wheat, barley and hairy vetch) were grown every year from October to May before transplanting the rice seedlings. After rice ears fully emerged, water was drained from the fields and organic manure (&#x0201C;ear manure&#x0201D;) was applied using a tractor. The farm was divided into multiple fields and ten fields were randomly selected for sampling. For each field, several rice panicles were randomly collected by a sickle, which formed one sample.</p>
<p>Paddy rice samples were also collected in 2017 and 2019 at the Anyway farm, Shanghai (121&#x000B0;29&#x00027;45.4&#x0201D;E, 31&#x000B0;13&#x00027;34.6&#x0201D;N, c. 2 m asl), China. The Shanghai rice grew under the same paddy watering condition but were treated with five different manuring regimes, including a control group (no organic manure or chemical fertilizer added) and two types of organic manure applied at varying rates (see <xref ref-type="table" rid="T3">Table 3</xref>). In the same plot, the treatment remained the same between years. Plots averaged 0.33 ha in area and ranged from 0.23 to 0.63 ha. The layout of sampling plots with size and manuring regimes is shown in <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 5</xref>. In addition, rice was rotated with <italic>Vicia faba</italic> as green manure each year after harvesting, starting from the winter of 2017. Thus, rice samples harvested in the autumn of 2017 (referred to as &#x0201C;Shanghai 2017 samples&#x0201D; below) can be viewed as an example of organic rice without green manure. For sampling, plots were each divided into a north, middle and south section and one sample (usually a clump of rice plants growing together) were collected from each section.</p>
<p>Paddy and dry rice samples collected from Linyi City (118&#x000B0;21&#x00027;28.9&#x0201D;E, 35&#x000B0;6&#x00027;14.4&#x0201D;N, c. 50&#x02013;60 m asl), Shandong province of North China provided another important part of the field samples in this study. In 2019, dry rice samples were collected from three locations, with location 1 either nothing (control group) or applying chemical fertilizer and location 2 and 3 applying chemical fertilizer and organic manure (<xref ref-type="table" rid="T3">Table 3</xref>). In 2020, dry rice treated with chemical fertilizer and paddy rice treated with chemical fertilizer and organic manure were grown at the same farm, with two plots around 50 m away from each other. Both plots received chemical fertilizer in 2018. The Shandong 2020 dry rice suffered from heavy rainfall in the summer that year, and the ridge around the field impeded drainage of water and the maintenance of dry conditions. At harvest time, half of the field did not produce plants. Since the remaining field was limited in size, samples were randomly collected from plants which produced panicles. It is reasonable to suggest that these samples grew under conditions more similar to paddy rice than normal dry rice. With the exception of Shandong 2020 dry rice, the paddy and dry rice samples from Shandong followed the same sampling method as Shanghai rice samples.</p>
</sec>
<sec>
<title>2.3 Sampling and stable carbon and nitrogen isotope analysis</title>
<sec>
<title>2.3.1 Pot experiment samples</title>
<p>For each harvested plant, all grains from one side of the panicle were harvested and 15&#x02013;20 grains randomly sampled using a riffle box. If a plant had two tillers, thus two panicles, an extra sample (15&#x02013;20 grains) was drawn from the second panicle. This resulted in a total of 79 samples. After sampling, the palea and lemma were removed from the rice grains by hand using a wooden dehusking tool. Grains were weighed before and after dehusking and then homogenized with a Spex 2,760 Freezer/Mill and stored in a refrigerator prior to isotopic analysis. The powdered samples were weighed into tin capsules, then run on a Sercon EA&#x02013;GSL mass spectrometer at the Research Laboratory for Archaeology and the History of Art, University of Oxford.</p>
<p>&#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values were measured separately due to the relatively low nitrogen content in the samples. An internal ALANINE standard was used to obtain raw data and for drift correction. In each run, additional calibration and check standards were run every 10 samples. IAEA&#x02013;CH6 and IAEA&#x02013;CH7 were used for the calibration of &#x003B4;<sup>13</sup>C values, and IAEA&#x02013;P2 and internal ALANINE as check standards. IAEA&#x02013;N1 and IAEA&#x02013;N2 are used for the calibration of &#x003B4;<sup>15</sup>N values, and IAEA&#x02013;P2 and internal ALANINE as check standards. The standard uncertainties were calculated based on Szpak et al. (<xref ref-type="bibr" rid="B80">2017</xref>) and were 0.17&#x02030; for &#x003B4;<sup>13</sup>C values and 0.63&#x02030; for &#x003B4;<sup>15</sup>N values (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table 6</xref>). Samples with unqualified results (e.g., unacceptable drift correction of runs) were reanalysed in 2023, using internal SEAL and ALANINE for calibration standards and IAEA-P2 and Leucine for check standards for both carbon and nitrogen isotope values. The standard uncertainties were calculated based on Szpak et al. (<xref ref-type="bibr" rid="B80">2017</xref>) and were 0.18&#x02030; for &#x003B4;<sup>13</sup>C values and 0.39&#x02030; for &#x003B4;<sup>15</sup>N values.</p>
<p>Plants with two panicles were analyzed separately for stable isotope values and then averaged. The &#x003B4;<sup>13</sup>C value of sample ORY010 was around 3&#x02030; higher than that of the other two samples of the same accession and the same treatment. This 3&#x02030; difference is beyond the inter-treatment difference of all the other groups. In addition, the plant from which ORY010 was sampled only developed 15 grains while most of other plants usually have at least 30 grains (see <xref ref-type="supplementary-material" rid="SM2">Supplementary material 2</xref>). Thus, sample ORY010 was considered as an outlier and excluded for the following discussion. For assessing the effect of watering treatments on stable carbon and nitrogen isotope values, only plants grown with the 1% manuring level were included as they represented the complete low-medium-high watering levels for all accessions. For assessing the effect of manuring treatments on stable nitrogen isotope values, plants under the 1% and 5% manuring levels are included.</p></sec>
<sec>
<title>2.3.2 Modern field samples</title>
<p>Rice is usually planted in clumps in fields, from dozens of grains directly sowed or sprouts transplanted into a single hole. Rice plants from one clump, containing multiple panicles, are then harvested together. Each sample from the fields refers to one such clump. When selecting grains for stable isotope analysis, the number of panicles of each sample were first counted and the minimum number of panicles among each collection was selected as the number of panicles to sample (<xref ref-type="table" rid="T3">Table 3</xref>). Grains from one side of the panicles were threshed, mixed and split using a riffle box to obtain a random subset of 50 to 60 grains. These bulk samples were weighed, dehusked and homogenized into powder with a pestle and mortar or using Spex 2,760 Freezer/Mill. The following steps were the same as for pot experiment samples, with differences only in some of the standards used (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table 6</xref>).</p></sec>
<sec>
<title>2.3.3 Statistical tests</title>
<p>All of the statistical analyses in this study were performed in R. The IQR method was applied to identify whether there were outliers in the dataset. This method is defined as the difference between the 25th percentile (Q1) and the 75th percentile (Q3) in a dataset. In the IQR analysis, cases more than 1.5 times the IQR from Q3 or &#x0003C; 1.5 times the IQR from Q1 are often classified as outliers (Tukey, <xref ref-type="bibr" rid="B85">1977</xref>), making this analysis more robust to outliers than the standard deviation (Sullivan et al., <xref ref-type="bibr" rid="B78">2021</xref>).</p>
<p>The distribution of the data was first checked using the Shapiro-Wilk test. For pot experiment samples, due to the small sample size and nonparametric distribution of the small datasets, a Spearman&#x00027;s rank-order correlation was applied to assess the relationship between watering levels and &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values, respectively. To understand the effect of manuring on &#x003B4;<sup>15</sup>N values, a Mann-Whitney <italic>U</italic> test was applied.</p>
<p>For field samples, the Shapiro-Wilk test was applied to check the normality of the data. The &#x003B4;<sup>15</sup>N values of Bokashi 5 kg group from the Shanghai 2017 collection did not follow a normal distribution. When testing correlations between &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values for each organic rice group (including the control group) from Shanghai (2017) and South Korea, the non-parametric Spearman rank correlation test was used while the remaining groups were analyzed using the Pearson correlation test. When combining organic groups together, the non-parametric Mann-Whitney <italic>U</italic> test was applied to assess the effect of watering and manuring on &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values.</p></sec></sec></sec>
<sec id="s3">
<title>3 Results</title>
<sec>
<title>3.1 Pot experiment</title>
<p>The &#x003B4;<sup>13</sup>C values of the heritage accessions ranged from &#x02212;30.2&#x02030; to &#x02212;27.8&#x02030; at the 1% manuring level (<xref ref-type="fig" rid="F2">Figure 2A</xref>, <xref ref-type="table" rid="T4">Table 4</xref>, <xref ref-type="supplementary-material" rid="SM3">Supplementary material 3</xref>). Modern accessions ranged from &#x02212;30.9&#x02030; to &#x02212;28.1&#x02030;. Modern S-line accessions (MOD003, MOD004) were distributed within the same range of the values as heritage landraces, while W-line accessions (MOD001, MOD002) were around 1&#x02030;&#x02212;1.5&#x02030; lower than heritage accession values. The &#x003B4;<sup>13</sup>C values of pot experiment samples showed greater variation between accessions than within accessions.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>&#x003B4;<sup>13</sup>C values <bold>(A)</bold> and &#x003B4;<sup>15</sup>N values <bold>(B)</bold> of 1% manuring pot experiment samples; <bold>(C)</bold> &#x003B4;<sup>15</sup>N values of heritage landraces grown under 1% and 5% manuring levels from the pot experiment.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0002.tif"/>
</fig>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Summary of stable isotope values of pot experiment samples.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>ID</bold></th>
<th valign="top" align="center"><bold>Accession</bold></th>
<th valign="top" align="left"><bold>Manuring level</bold></th>
<th valign="top" align="left"><bold>Watering level</bold></th>
<th valign="top" align="center" colspan="4">&#x003B4;<sup><bold>13</bold></sup><bold>C (VPDB)/</bold>&#x02030;</th>
<th valign="top" align="center" colspan="4">&#x003B4;<sup><bold>15</bold></sup><bold>N (AIR)/</bold>&#x02030;</th>
</tr>
</thead>
<tbody>
<tr style="background-color:#8f9496;color:#ffffff">
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center"><bold>Number</bold></td>
<td valign="top" align="center"><bold>Mean</bold></td>
<td valign="top" align="center"><bold>Stdev</bold></td>
<td valign="top" align="center"><bold>Range</bold></td>
<td valign="top" align="center"><bold>Number</bold></td>
<td valign="top" align="center"><bold>Mean</bold></td>
<td valign="top" align="center"><bold>Stdev</bold></td>
<td valign="top" align="center"><bold>Range</bold></td>
</tr> <tr>
<td valign="top" align="left">HER001</td>
<td valign="top" align="center">117264</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;28.3</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;11.1</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.0</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;10.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.2</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.1</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;10.8</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">1.7</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">5%</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x02212;29.0</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x0002B;10.4</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.4</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x02212;29.6</td>
<td valign="top" align="center">0.0</td>
<td valign="top" align="center">0.0</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x0002B;12.7</td>
<td valign="top" align="center">1.3</td>
<td valign="top" align="center">1.9</td>
</tr> <tr>
<td valign="top" align="left">HER002</td>
<td valign="top" align="center">128438</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;28.9</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;11.8</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.7</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;14.7</td>
<td valign="top" align="center">1.6</td>
<td valign="top" align="center">2.9</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.2</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;16.4</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.0</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">5%</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.4</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">1.3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;15.2</td>
<td valign="top" align="center">1.5</td>
<td valign="top" align="center">2.8</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;28.9</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;16.4</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.3</td>
</tr> <tr>
<td valign="top" align="left">HER003</td>
<td valign="top" align="center">132278</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.2</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;11.1</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.3</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.8</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;10.6</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.7</td>
<td valign="top" align="center">0.0</td>
<td valign="top" align="center">0.0</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x0002B;13.0</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">1.8</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">5%</td>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;30.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;16.1</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">1.2</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;30.2</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;16.6</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">0.8</td>
</tr> <tr>
<td valign="top" align="left">MOD001</td>
<td valign="top" align="center">W-DEP1</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.8</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;11.8</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">1.3</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;30.1</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;12.1</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">2.1</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center"><italic>NA</italic></td>
<td valign="top" align="center"><italic>NA</italic></td>
<td valign="top" align="center"><italic>NA</italic></td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">&#x0002B;13.9</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
</tr> <tr>
<td valign="top" align="left">MOD002</td>
<td valign="top" align="center">W-dep1</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;30.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;12.4</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.0</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;30.2</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;13.5</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.0</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;30.7</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;13.3</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">1.5</td>
</tr> <tr>
<td valign="top" align="left">MOD003</td>
<td valign="top" align="center">S-DEP1</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;28.8</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">1.8</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;13.1</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.0</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.2</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;12.3</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.1</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;28.9</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;15.5</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">0.7</td>
</tr> <tr>
<td valign="top" align="left">MOD004</td>
<td valign="top" align="center">S-dep1</td>
<td valign="top" align="left">1%</td>
<td valign="top" align="left">Low</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.4</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;15.3</td>
<td valign="top" align="center">1.6</td>
<td valign="top" align="center">3.3</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">Medium</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.8</td>
<td valign="top" align="center">0.0</td>
<td valign="top" align="center">0.0</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;13.5</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">1.6</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">High</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;29.8</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x0002B;14.4</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">2.2</td>
</tr></tbody>
</table>
</table-wrap>
<p>For all accessions at the 1% manuring level, a tendency toward higher &#x003B4;<sup>13</sup>C values can be observed at the low watering level compared with the medium and high watering levels. However, the &#x003B4;<sup>13</sup>C values of HER002 (128438) and MOD003 (S-DEP1) <italic>increase</italic> when moving from the medium to the high watering level. A Spearman&#x00027;s rank-order correlation test was conducted to compare the &#x003B4;<sup>13</sup>C values of plants grown under three watering regimes. A negative correlation was found in one heritage landrace, HER001 (<italic>r</italic><sub><italic>s</italic></sub> = &#x02212;0.738, <italic>p</italic> = 0.023) and three modern accessions MOD001 (<italic>r</italic><sub><italic>s</italic></sub> = &#x02212;0.794, <italic>p</italic> = 0.019), MOD002 (<italic>r</italic><sub><italic>s</italic></sub> = &#x02212;0.738, <italic>p</italic> = 0.023), and MOD004 (<italic>r</italic><sub><italic>s</italic></sub> = &#x02212;0.949, <italic>p</italic> = 9.585e<sup>&#x02212;05</sup>) (<xref ref-type="table" rid="T5">Table 5</xref>). The means of the 1% manuring level heritage and modern accessions at three watering levels are shown in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Results of statistical analysis on pot experiment samples.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>Statistical method</bold></th>
<th valign="top" align="center"><bold>Mauring level</bold></th>
<th valign="top" align="center"><bold>Samples</bold></th>
<th valign="top" align="center" colspan="2">&#x003B4;<sup><bold>13</bold></sup><bold>C (VPDB)/</bold>&#x02030;</th>
<th valign="top" align="center" colspan="2">&#x003B4;<sup><bold>15</bold></sup><bold>N (AIR)/</bold>&#x02030;</th>
</tr>
<tr>
<th/>
</tr>
</thead>
<tbody>
<tr style="background-color:#8f9496;color:#ffffff">
<td/>
<td/>
<td/>
<td valign="top" align="center"><italic><bold>r</bold><sub><italic>s</italic></sub></italic></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="center"><italic><bold>r</bold><sub><italic>s</italic></sub></italic></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
</tr> <tr>
<td valign="top" align="left">Spearman&#x00027;s rank-order correlation</td>
<td valign="top" align="center">1%</td>
<td valign="top" align="center">Heritage and Modern</td>
<td valign="top" align="center">&#x02212;0.223</td>
<td valign="top" align="center">0.081</td>
<td valign="top" align="center">0.372</td>
<td valign="top" align="center"><bold>0.003</bold></td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">Heritage</td>
<td valign="top" align="center">&#x02212;0.309</td>
<td valign="top" align="center">0.117</td>
<td valign="top" align="center">0.280</td>
<td valign="top" align="center">0.158</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">Modern</td>
<td valign="top" align="center">&#x02212;0.262</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">0.426</td>
<td valign="top" align="center"><bold>0.010</bold></td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">HER001 (117264)</td>
<td valign="top" align="center">&#x02212;0.738</td>
<td valign="top" align="center"><bold>0.023</bold></td>
<td valign="top" align="center">&#x02212;0.105</td>
<td valign="top" align="center">0.787</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">HER002 (128438)</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.843</td>
<td valign="top" align="center"><bold>0.004</bold></td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">HER003 (132278)</td>
<td valign="top" align="center">&#x02212;0.580</td>
<td valign="top" align="center">0.102</td>
<td valign="top" align="center">0.474</td>
<td valign="top" align="center">0.197</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">MOD001 (W-DEP1)</td>
<td valign="top" align="center">&#x02212;0.794</td>
<td valign="top" align="center"><bold>0.019</bold></td>
<td valign="top" align="center">0.738</td>
<td valign="top" align="center"><bold>0.023</bold></td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">MOD002 (W-dep1)</td>
<td valign="top" align="center">&#x02212;0.738</td>
<td valign="top" align="center"><bold>0.023</bold></td>
<td valign="top" align="center">0.632</td>
<td valign="top" align="center">0.068</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">MOD003 (S-DEP1)</td>
<td valign="top" align="center">&#x02212;0.211</td>
<td valign="top" align="center">0.586</td>
<td valign="top" align="center">0.527</td>
<td valign="top" align="center">0.145</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">MOD004 (S-dep1)</td>
<td valign="top" align="center">&#x02212;0.949</td>
<td valign="top" align="center"><bold>9.585e-05</bold></td>
<td valign="top" align="center">&#x02212;0.316</td>
<td valign="top" align="center">0.407</td>
</tr> <tr style="background-color:#8f9496;color:#ffffff">
<td valign="top" align="center"><bold>Statistical methods</bold></td>
<td valign="top" align="center"><bold>Manuring levels</bold></td>
<td valign="top" align="center"><bold>Samples</bold></td>
<td valign="top" align="center"><bold>Watering levels</bold></td>
<td valign="top" align="center" colspan="3">&#x003B4;<sup>13</sup><bold>C (VPDB)/</bold>&#x02030;</td>
<td valign="top" align="center" colspan="3">&#x003B4;<sup>15</sup><bold>N (AIR)/</bold>&#x02030;</td>
</tr>
 <tr style="background-color:#8f9496;color:#ffffff">
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center"><bold>Confidence interval</bold></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="center"><bold>W</bold></td>
<td valign="top" align="center"><bold>Confidence interval</bold></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="center"><bold>W</bold></td>
</tr> <tr>
<td valign="top" align="left">Mann-Whitney <italic>U</italic> test</td>
<td valign="top" align="center">1% compared to 5%</td>
<td valign="top" align="center">Heritage</td>
<td valign="top" align="center">Medium</td>
<td valign="top" align="center">95%</td>
<td valign="top" align="center">0.8884</td>
<td valign="top" align="center">38</td>
<td valign="top" align="center">95%</td>
<td valign="top" align="center"><bold>0.03595</bold></td>
<td valign="top" align="center">14</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">High</td>
<td valign="top" align="center">95%</td>
<td valign="top" align="center">0.673</td>
<td valign="top" align="center">41</td>
<td valign="top" align="center">95%</td>
<td valign="top" align="center">0.1388</td>
<td valign="top" align="center">20</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>The bolded values are statistically significant at the indicated 95% confidence interval.</p>
</table-wrap-foot>
</table-wrap>
<p>The &#x003B4;<sup>15</sup>N values of heritage accessions ranged from &#x0002B;9.6&#x02030; to &#x0002B;16.8&#x02030; at the 1% manuring level and from &#x0002B;10.3&#x02030; to &#x0002B;17.1&#x02030; at 5% manuring level (<xref ref-type="fig" rid="F2">Figure 2B</xref>, <xref ref-type="table" rid="T4">Table 4</xref>, <xref ref-type="supplementary-material" rid="SM3">Supplementary material 3</xref>). The &#x003B4;<sup>15</sup>N values of modern accessions ranged from &#x0002B;11.1&#x02030; to &#x0002B;16.9&#x02030;. The range of the &#x003B4;<sup>15</sup>N values of HER002 covered the range of all the modern accessions. Overall, higher water input raised the &#x003B4;<sup>15</sup>N values of all accessions from the low to the high watering level and the medium to the high watering level (<xref ref-type="fig" rid="F2">Figure 2B</xref>), with HER001 and MOD004 being exceptions. A negative correlation was observed in one heritage accession HER002 (<italic>r</italic><sub><italic>s</italic></sub> = 0.843, <italic>p</italic> = 0.004) and one modern accession MOD001 (<italic>r</italic><sub><italic>s</italic></sub> = 0.738, <italic>p</italic> = 0.023) using Spearman&#x00027;s rank-order correlation analysis (<xref ref-type="table" rid="T5">Table 5</xref>).</p>
<p>Turning to the effect of manuring on &#x003B4;<sup>15</sup>N values, plants grown at the 5% manuring level showed a tendency toward higher &#x003B4;<sup>15</sup>N values compared with those grown at the 1% manuring level, as observed in HER001 and HER003 but not HER002. For heritage landraces the manuring effect on &#x003B4;<sup>15</sup>N values was significant for the medium watering level samples (CI = 95%, <italic>p</italic> = 0.03595) but not the high watering level samples (CI = 95%, <italic>p</italic> = 0.1388) (<xref ref-type="fig" rid="F2">Figure 2C</xref>, <xref ref-type="table" rid="T5">Table 5</xref>).</p>
</sec>
<sec>
<title>3.2 Modern fields</title>
<p>Based on Interquartile Range (IQR) analysis performed in R, three samples (LY083, SHC30N, and SH325) from fields were identified as outliers and excluded in the following discussion.</p>
<p>Overall, modern field rice &#x003B4;<sup>13</sup>C values ranged from &#x02212;28.6&#x02030; to &#x02212;25.5&#x02030; (<xref ref-type="fig" rid="F3">Figure 3</xref>, <xref ref-type="table" rid="T6">Table 6</xref>, <xref ref-type="supplementary-material" rid="SM3">Supplementary material 3</xref>), which were about 2.5&#x02030; higher than samples grown in the pot experiment. For paddy rice, &#x003B4;<sup>13</sup>C values from South Korea samples ranged from &#x02212;27.4&#x02030; to &#x02212;26.3&#x02030;. Shanghai samples had a range of &#x02212;28.6&#x02030; to &#x02212;26.8&#x02030; and &#x02212;27.4&#x02030; to &#x02212;26.7&#x02030; in 2017 and 2019, respectively. Shandong paddy rice in 2020 ranged from &#x02212;28.3&#x02030; to &#x02212;27.8&#x02030;. For dry rice collected in Shandong in 2019, samples had a range of &#x02212;26.5&#x02030; to &#x02212;25.9&#x02030; at Location 1, &#x02212;26.1&#x02030; to &#x02212;25.5&#x02030; at Location 2 and &#x02212;27.2&#x02030; to &#x02212;25.8&#x02030; at Location 3.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Stable isotope values of modern fields samples coded by watering regimes. SKor, South Korea; SHai, Shanghai; SDon, Shandong; Pad, Paddy; Org, Organic Manure; Ctr, Control; Che, Chemical fertilizer; Loc, Location.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0003.tif"/>
</fig>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>Summary of stable isotope values of modern fields samples.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>Collection</bold></th>
<th valign="top" align="left"><bold>Year</bold></th>
<th valign="top" align="left"><bold>Paddy/ Dry</bold></th>
<th valign="top" align="left"><bold>Sampling Place</bold></th>
<th valign="top" align="left"><bold>Group</bold></th>
<th valign="top" align="center"><bold><italic>n</italic></bold></th>
<th valign="top" align="center" colspan="3">&#x003B4;<sup><bold>13</bold></sup><bold>C (VPDB)/</bold>&#x02030;</th>
<th valign="top" align="center" colspan="3">&#x003B4;<sup><bold>15</bold></sup><bold>N (AIR)/</bold>&#x02030;</th>
</tr>
</thead>
<tbody>
<tr style="background-color:#8f9496;color:#ffffff">
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center"><bold>Mean</bold></td>
<td valign="top" align="center"><bold>Stdev</bold></td>
<td valign="top" align="center"><bold>Range</bold></td>
<td valign="top" align="center"><bold>Mean</bold></td>
<td valign="top" align="center"><bold>Stdev</bold></td>
<td valign="top" align="center"><bold>Range</bold></td>
</tr>
 <tr>
<td valign="top" align="left">South Korea</td>
<td valign="top" align="left">2016</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Buyeo</td>
<td valign="top" align="left">Brand &#x0201C;ECO&#x0201D;</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">&#x02212;26.9</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">&#x0002B;8.3</td>
<td valign="top" align="center">1.7</td>
<td valign="top" align="center">4.9</td>
</tr> <tr>
<td valign="top" align="left">Shanghai, China</td>
<td valign="top" align="left">2017</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Anyway Farm</td>
<td valign="top" align="left">Control</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">&#x02212;27.7</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">1.3</td>
<td valign="top" align="center">&#x0002B;6.1</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">3.5</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Bokashi 5 kg [80 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">&#x02212;27.9</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">&#x0002B;5.8</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">2.4</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 5 kg [220 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">&#x02212;27.8</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">&#x0002B;5.7</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">2.5</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 10 kg [440 kg manure]</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">&#x02212;27.7</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">1.4</td>
<td valign="top" align="center">&#x0002B;5.9</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">2.4</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 40 kg [1740 kg]</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">&#x02212;27.4</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">1.3</td>
<td valign="top" align="center">&#x0002B;6.2</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">2.6</td>
</tr> <tr>
<td valign="top" align="left">Shanghai, China</td>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Anyway Farm</td>
<td valign="top" align="left">Control</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;27.0</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">&#x0002B;2.7</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">1.3</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Bokashi 5 kg [80 kg manure]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;26.9</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">&#x0002B;4.0</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">0.8</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 5 kg [220 kg manure]</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">&#x02212;27.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">&#x0002B;3.6</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">1.4</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 10 kg [440 kg manure]</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">&#x02212;26.9</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">&#x0002B;3.2</td>
<td valign="top" align="center">0.7</td>
<td valign="top" align="center">2.1</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Runbao 40 kg [1740 kg]</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;27.1</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">&#x0002B;3.3</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">0.7</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Hesheng Coop-experimental fields (Loc1)</td>
<td valign="top" align="left">Plot1-control</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;26.3</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">&#x0002B;3.9</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">1.9</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot2-high NPK</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;26.2</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">&#x0002B;2.5</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">1.1</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot3-low NPK</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">&#x02212;26.3</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">&#x0002B;2.5</td>
<td valign="top" align="center">1.0</td>
<td valign="top" align="center">1.8</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Dongshuihu village (Loc2)</td>
<td valign="top" align="left">/</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">&#x02212;25.7</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">&#x0002B;1.3</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">1.0</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">Dry</td>
<td valign="top" align="left">Huayi coop (Loc3)</td>
<td valign="top" align="left">Plot1</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">&#x02212;26.2</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">&#x0002B;6.0</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">3.0</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot2</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">&#x02212;26.9</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">&#x0002B;4.3</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">3.1</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Plot3</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">&#x02212;26.3</td>
<td valign="top" align="center">0.3</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">&#x0002B;4.9</td>
<td valign="top" align="center">0.8</td>
<td valign="top" align="center">1.9</td>
</tr> <tr>
<td valign="top" align="left">Shandong, China</td>
<td valign="top" align="left">2020</td>
<td valign="top" align="left">Paddy</td>
<td valign="top" align="left">Hesheng coop</td>
<td valign="top" align="left">/</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">&#x02212;28.0</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">0.5</td>
<td valign="top" align="center">&#x0002B;5.7</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">1.4</td>
</tr></tbody>
</table>
</table-wrap>
<p>The &#x003B4;<sup>13</sup>C values of Shandong dry rice 2020 (mean = &#x02212;27.5 &#x000B1; 0.1&#x02030;, <italic>n</italic> = 10) separated from most dry rice samples in this study and overlapped with the range of paddy rice, which were in accordance with their actual growing condition due to drainage problems (see Field collections, above). Therefore, these samples cannot be considered as &#x0201C;normal&#x0201D; dry rice and were excluded in the following discussion. The South Korea samples were grown under the same watering and manuring treatment in an organic farm over the long term, with one sample collected from one field, which provides a good reference for the expected range in &#x003B4;<sup>13</sup>C values of rice grains grown under the same conditions in modern fields. In terms of watering treatment and its potential effect on rice &#x003B4;<sup>13</sup>C values, the values of paddy field samples (mean = &#x02212;27.5 &#x000B1; 0.5&#x02030;, <italic>n</italic> = 92) and dry field samples (mean = &#x02212;26.3 &#x000B1; 0.4&#x02030;, <italic>n</italic> = 32) show a significant difference (CI = 95%, <italic>p</italic> &#x0003C; 2.2e<sup>&#x02212;16</sup>) based on the Mann-Whitney <italic>U</italic> test (<xref ref-type="table" rid="T7">Table 7</xref>).</p>
<table-wrap position="float" id="T7">
<label>Table 7</label>
<caption><p>Results of statistical analysis on field samples.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>Statistical method</bold></th>
<th valign="top" align="left"><bold>Samples</bold></th>
<th valign="top" align="left" colspan="3">&#x003B4;<sup><bold>13</bold></sup><bold>C (VPDB)/</bold>&#x02030;</th>
<th valign="top" align="center" colspan="3">&#x003B4;<sup><bold>15</bold></sup><bold>N (AIR)/</bold>&#x02030;</th>
</tr>
</thead>
<tbody>
<tr style="background-color:#8f9496;color:#ffffff">
<td/>
<td/>
<td valign="top" align="left"><bold>Confidence interval</bold></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="center"><bold>W</bold></td>
<td valign="top" align="left"><bold>Confidence interval</bold></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="left"><bold>W</bold></td>
</tr> <tr>
<td valign="top" align="left">Mann-Whitney <italic>U</italic> test</td>
<td valign="top" align="left">Paddy rice compared to dry rice</td>
<td valign="top" align="left">95%</td>
<td valign="top" align="center"><bold>&#x0003C; 2.2e-16</bold></td>
<td valign="top" align="center">2,828</td>
<td valign="top" align="left">95%</td>
<td valign="top" align="center"><bold>3.717e-05</bold></td>
<td valign="top" align="left">767</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Paddy control (Shanghai 2017) compared to Dry control (Shandong 2019 Loc1)</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="left">95%</td>
<td valign="top" align="center"><bold>0.03636</bold></td>
<td valign="top" align="left">2</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Shanghai 2017: control compared to organic manure groups</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="left">95%</td>
<td valign="top" align="center">0.7969</td>
<td valign="top" align="left">167</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Shanghai 2019: control compared to organic manure groups</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="center">&#x02013;</td>
<td valign="top" align="left">95%</td>
<td valign="top" align="center">0.1389</td>
<td valign="top" align="left">13</td>
</tr> <tr style="background-color:#8f9496;color:#ffffff">
<td valign="top" align="left"><bold>Statistical method</bold></td>
<td valign="top" align="left"><bold>Samples</bold></td>
<td valign="top" align="left"><bold>Manure</bold></td>
<td valign="top" align="center"><bold>t</bold></td>
<td valign="top" align="center"><bold>df</bold></td>
<td valign="top" align="left"><bold>S</bold></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="left"><bold>correlation coefficient</bold></td>
</tr> <tr>
<td valign="top" align="left">Pearson/Spearman&#x00027;s rank-order correlation coefficient (95% confidence interval): test correlation between &#x003B4;<sup>13</sup>C and &#x003B4;<sup>15</sup>N values</td>
<td valign="top" align="left">South Korea</td>
<td valign="top" align="left">Brand &#x0201C;ECO&#x0201D;</td>
<td valign="top" align="center">&#x02212;2.8329</td>
<td valign="top" align="center">8</td>
<td valign="top" align="left">-</td>
<td valign="top" align="center"><bold>0.02205</bold></td>
<td valign="top" align="left">&#x02212;0.7076646</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Shanghai 2017</td>
<td valign="top" align="left">Control</td>
<td valign="top" align="center">&#x02212;0.30043</td>
<td valign="top" align="center">7</td>
<td valign="top" align="left">-</td>
<td valign="top" align="center">0.7726</td>
<td valign="top" align="left">&#x02212;0.1128283</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">Bokashi 5 kg</td>
<td valign="top" align="center">&#x02212;0.031251</td>
<td valign="top" align="center">7</td>
<td valign="top" align="left">110</td>
<td valign="top" align="center">0.8432</td>
<td valign="top" align="left">0.08333333</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">Runbao 5 kg</td>
<td valign="top" align="center">0.48726</td>
<td valign="top" align="center">7</td>
<td valign="top" align="left">-</td>
<td valign="top" align="center">0.641</td>
<td valign="top" align="left">0.1811228</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">Runbao 10 kg</td>
<td valign="top" align="center">&#x02212;4.2037</td>
<td valign="top" align="center">7</td>
<td valign="top" align="left">-</td>
<td valign="top" align="center"><bold>0.004017</bold></td>
<td valign="top" align="left">&#x02212;0.8463276</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">Runbao 40 kg</td>
<td valign="top" align="center">&#x02212;2.4299</td>
<td valign="top" align="center">6</td>
<td valign="top" align="left">-</td>
<td valign="top" align="center"><bold>0.05117</bold></td>
<td valign="top" align="left">&#x02212;0.7042631</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The bolded values are statistically significant at the indicated 95% confidence interval.</p>
</table-wrap-foot>
</table-wrap>
<p>Modern field samples had &#x003B4;<sup>15</sup>N values ranging from &#x0002B;0.9&#x02030; to &#x0002B;11.3&#x02030; (<xref ref-type="fig" rid="F4">Figure 4</xref>, <xref ref-type="table" rid="T6">Table 6</xref>, <xref ref-type="supplementary-material" rid="SM3">Supplementary material 3</xref>), mostly lower than samples grown in the pot experiment. For paddy rice, the &#x003B4;<sup>15</sup>N values of the South Korea samples ranged from &#x0002B;6.4&#x02030; to &#x0002B;11.3&#x02030;. Shanghai samples had a range of &#x003B4;<sup>15</sup>N values from &#x0002B;4.5&#x02030; to &#x0002B;8.1&#x02030; and from &#x0002B;1.9&#x02030; to &#x0002B;4.6&#x02030; in 2017 and 2019, respectively. Shandong paddy rice in 2020 ranged from 5.1&#x02030; to 6.5&#x02030;. For dry rice, samples collected in Shandong in 2019 had a range of &#x0002B;1.3&#x02030; to &#x0002B;4.7&#x02030; at Location 1, &#x0002B;0.9&#x02030; to &#x0002B;1.8&#x02030; at Location 2 and &#x0002B;3.0&#x02030; to &#x0002B;7.0&#x02030; at Location 3.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Stable isotope values of modern fields samples coded by manuring regimes. SKor, South Korea; SHai, Shanghai; SDon, Shandong; Pad, Paddy; Org, Organic Manure; Ctr, Control; Che, Chemical fertilizer; Loc, Location.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0004.tif"/>
</fig>
<p>In terms of watering effects on &#x003B4;<sup>15</sup>N values, the control group of paddy rice from the Shanghai 2017 collection (mean = &#x0002B;6.1 &#x000B1; 1.2&#x02030;, <italic>n</italic> = 9) had higher values than the control group of dry rice from Shandong (Location 1) (mean = &#x0002B;3.9 &#x000B1; 1.0&#x02030;, <italic>n</italic> = 3) (<xref ref-type="fig" rid="F5">Figure 5</xref>, <xref ref-type="table" rid="T6">Table 6</xref>). A significant difference between the two groups was observed using the Mann-Whitney <italic>U</italic> test (CI = 95%, <italic>p</italic> = 0.03636) (<xref ref-type="table" rid="T7">Table 7</xref>).</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Stable isotope values of modern fields samples (control groups and organic manured groups). SKor, South Korea; SHai, Shanghai; SDon, Shandong; Pad, Paddy; Org, Organic Manure; Ctr, Control; Loc, Location.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0005.tif"/>
</fig>
<p>Turning to the effect of manuring on &#x003B4;<sup>15</sup>N values, the organic rice samples of various manuring regimes from Shanghai had very similar &#x003B4;<sup>15</sup>N values in the year 2017, with average values ranging from &#x0002B;5.7 &#x000B1; 0.8&#x02030; (<italic>n</italic> = 9, Runbao 5 kg) to &#x0002B;6.1 &#x000B1; 1.1&#x02030; (<italic>n</italic> = 9, Runbao 40 kg) (<xref ref-type="fig" rid="F6">Figure 6</xref>). The &#x003B4;<sup>15</sup>N values of the control group (mean = &#x0002B;6.2 &#x000B1; 1.1&#x02030;, <italic>n</italic> = 8) almost covered the whole range of organic manured groups. The Mann-Whitney <italic>U</italic> test also showed no difference between the control group and the organic manure group (<xref ref-type="table" rid="T7">Table 7</xref>). For samples collected in Shanghai in 2019, likely due to the application of green manure of <italic>Vicia faba</italic>, the mean values of the &#x003B4;<sup>15</sup>N values of rice (&#x0002B;2.7 &#x000B1; 0.7&#x02030; to &#x0002B;4.0 &#x000B1; 0.5&#x02030;) were lower than those of soils from 2018 (&#x0002B;4.2 &#x000B1; 0.4&#x02030; to &#x0002B;5.3 &#x000B1; 0.4&#x02030;) (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table 7</xref>). On the other hand, the average &#x003B4;<sup>15</sup>N values of organic groups in 2019 were still similar to each other and did not differ much from the control group (<xref ref-type="table" rid="T6">Table 6</xref>).</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>&#x003B4;<sup>15</sup>N values of Shanghai 2017 and 2019 rice samples. Diamonds show mean values of each manuring treatment. Black crosses are values of soils from 2017 and 2018.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0006.tif"/>
</fig>
<p>Since both watering and manuring potentially have a positive effect on &#x003B4;<sup>15</sup>N values while watering has a negative effect on &#x003B4;<sup>13</sup>C values, statistical tests were applied to see whether there was a consistent correlation between the &#x003B4;<sup>13</sup>C values and the &#x003B4;<sup>15</sup>N values of unmanured/organic manured paddy rice (without legume green manure). The distribution of the data was first checked using the Shapiro-Wilk test. Only the &#x003B4;<sup>15</sup>N values of Bokashi 5 kg group did not follow a normal distribution. The non-parametric Spearman rank correlation test was conducted on this group while the remaining groups were analyzed using the Pearson correlation test. A negative Pearson correlation between the &#x003B4;<sup>13</sup>C values and the &#x003B4;<sup>15</sup>N values was seen in South Korea samples (CI = 95%, <italic>p</italic> = 0.02205), Runbao 10 kg (CI = 95%, <italic>p</italic> = 0.004017), and Runbao 40 kg (CI = 95%, <italic>p</italic> = 0.05117) samples of the Shanghai 2017 collection (<xref ref-type="fig" rid="F7">Figure 7</xref>, <xref ref-type="table" rid="T7">Table 7</xref>). In contrast, there was no correlation in the control, Bokashi 5 kg and Runbao 5 kg groups of Shanghai 2017 collection. South Korea samples received long-term intensive organic manure and Runbao 10 kg, 40 kg groups from Shanghai received short-term but more intensive organic manure. The implication is that the negative correlation between &#x003B4;<sup>13</sup>C values and &#x003B4;<sup>15</sup>N values can possibly be another indicator suggesting the application of intensive manuring.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Correlation between the &#x003B4;<sup>13</sup>C values and the &#x003B4;<sup>15</sup>N values of Shanghai 2017 samples and South Korea samples (Unit of NAmount: kg/666.7 m<sup>2</sup>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fearc-03-1488754-g0007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec>
<title>4.1 Effect of watering treatments on &#x003B4;<sup>13</sup>C values</title>
<p>Under dry conditions, stomata tend to close to decrease evaporation, resulting in a reduced stomatal conductance. C<sub>3</sub> plants such as rice prefer to use <sup>12</sup>C for photosynthesis, causing the remaining carbon to be enriched in <sup>13</sup>C. The lower stomatal conductance prevents <sup>12</sup>C in the air to freely enter stomata, which further raised the concentration of <sup>13</sup>C (Farquhar and Richards, <xref ref-type="bibr" rid="B23">1984</xref>; Farquhar et al., <xref ref-type="bibr" rid="B21">1989</xref>; Ehleringer et al., <xref ref-type="bibr" rid="B20">1993</xref>; Wallace et al., <xref ref-type="bibr" rid="B87">2013</xref>; Styring et al., <xref ref-type="bibr" rid="B74">2016</xref>). Consequently, rice under a dry condition would have higher &#x003B4;<sup>13</sup>C values than rice under a wet condition.</p>
<p>For most pot experiment samples, watering does indeed have a negative effect on &#x003B4;<sup>13</sup>C values. However, the &#x003B4;<sup>13</sup>C values of HER002 (128438) and MOD003 (S-DEP1) <italic>increase</italic> from the medium to the high watering level. This might be due to their physiological features since they grew more quickly and thus their medium watering level samples experienced a shorter period under the waterlogged condition. In addition, pot experiment samples showed larger variations in the &#x003B4;<sup>13</sup>C values between accessions than between watering levels. This indicated that the archaeological application of &#x003B4;<sup>13</sup>C values to reveal wetness should primarily be used for comparison within local sequences since variations in water use efficiency between populations can be factored out. Paddy rice samples from the pot experiment generally have higher &#x003B4;<sup>13</sup>C values than those from fields, which was possibly associated with the rather high relative humidity (80%) and high temperature (28&#x000B0;C to 30&#x000B0;C) in the glasshouse where the pot experiment was conducted.</p>
<p>For field samples, paddy rice also exhibited lower &#x003B4;<sup>13</sup>C values than dry rice as expected. The &#x003B4;<sup>13</sup>C values of most paddy rice samples were lower than &#x02212;26.5&#x02030;, while most dry rice samples were higher than &#x02212;26.5&#x02030; (<xref ref-type="fig" rid="F3">Figure 3</xref>). The &#x003B4;<sup>13</sup>C values of paddy field rice in this study were comparable to those from previous reported values. <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 2</xref> summarizes previous studies with &#x003B4;<sup>13</sup>C values of wet rice grains (or roots and shoots) from pot experiments or fields in East Asia, Southeast Asia, South Asia as well as Australia and United States. The mean values of paddy rice varied from &#x02212;29.2&#x02030; to &#x02212;26.3&#x02030;, which in general were similar as the range of the field samples in this study (&#x02212;28.6&#x02030; to &#x02212;26.3&#x02030;).</p>
<p>There was no difference in the &#x003B4;<sup>13</sup>C values of paddy rice at different locations, in accordance with previous findings that &#x003B4;<sup>13</sup>C values alone did not distinguish geographic origins (Chung et al., <xref ref-type="bibr" rid="B14">2017</xref>). The distribution of the Shanghai 2019 samples and South Korea samples largely overlapped with the distribution of the Shanghai 2017 samples. Similarly, the range of Shandong 2020 samples was covered by Shanghai 2017 samples. It was the same case for the dry rice field samples as samples from location 3 covered the distribution of samples from location 1 and overlapped with samples from location 2.</p>
</sec>
<sec>
<title>4.2 Effect of watering treatments on &#x003B4;<sup>15</sup>N values</title>
<p>The anaerobic conditions prevalent in paddy fields impede nitrification and nitrate production while increasing denitrification. Denitrification transforms nitrate to N<sub>2</sub> and leads to an accumulation of <sup>15</sup>N in the remaining nitrate. Thus, ammonium becomes the dominant N species in paddy rice, which is directly absorbed by plants. <sup>15</sup>N-enriched nitrate can also be utilized by paddy rice as a secondary N resource (Lim et al., <xref ref-type="bibr" rid="B56">2015</xref>; Denk et al., <xref ref-type="bibr" rid="B16">2017</xref>). As a result, paddy rice shows higher &#x003B4;<sup>15</sup>N values than dry rice.</p>
<p>The significantly higher &#x003B4;<sup>15</sup>N values of the paddy rice control group (mean = &#x0002B;6.1 &#x000B1; 1.2&#x02030;, <italic>n</italic> = 9) compared with the dry rice control group (mean = &#x0002B;3.9 &#x000B1; 1.0&#x02030;, <italic>n</italic> = 3) suggested that waterlogged conditions elevated the &#x003B4;<sup>15</sup>N values of rice grains. Previous findings analyzed charred rice grains from the Late Yangshao period to Eastern Zhou period (around 3,500 BC to 221 BC) in the Central Plains, China, and suggested that manuring was applied to rice plants throughout the studied periods based on &#x003B4;<sup>15</sup>N values (Wang et al., <xref ref-type="bibr" rid="B89">2022</xref>; Tao et al., <xref ref-type="bibr" rid="B81">2022a</xref>,<xref ref-type="bibr" rid="B82">b</xref>, <xref ref-type="bibr" rid="B83">2023</xref>). However, the mean value of the modern paddy rice control group in this study was higher than that of the Er&#x00027;ligang period (&#x0002B;5.4 &#x000B1; 2.5&#x02030;) and the Yinxu period (&#x0002B;6.0 &#x000B1; 2.4&#x02030;) at the site of Huqiugang (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table 8</xref>). In addition, the range of the &#x003B4;<sup>15</sup>N values of the modern paddy rice control group (&#x0002B;1.9&#x02030; to &#x0002B;8.1&#x02030;) overlapped with the range of the remaining sites (&#x0002B;7.0 &#x000B1; 1.7&#x02030; to &#x0002B;8.0 &#x000B1; 1.4&#x02030;) as summarized in <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 8</xref>. Consequently, paddy conditions could also produce &#x003B4;<sup>15</sup>N values similar to at least part of the data reported in these studies, and whether the data can be fully explained by manuring effect requires reconsideration. Whereas light irrigation has no effect on the &#x003B4;<sup>15</sup>N values of dryland crops (Bogaard et al., <xref ref-type="bibr" rid="B5">2013</xref>; Sanborn et al., <xref ref-type="bibr" rid="B69">2021</xref>), paddy conditions have a significant positive effect on the &#x003B4;<sup>15</sup>N values of rice.</p>
</sec>
<sec>
<title>4.3 Effect of manuring treatments on &#x003B4;<sup>15</sup>N values</title>
<p>In the glasshouse pot experiment, two manuring levels (the 1% and 5%) were applied to three heritage accessions, of which two showed higher &#x003B4;<sup>15</sup>N values of rice grains at the 5% manuring level compared with the 1% manuring level. Significant differences in &#x003B4;<sup>15</sup>N values were found at the medium watering level but not the high watering level as shown by the Mann-Whitney test, suggesting that manuring did have a positive effect on paddy rice grains, though the influence may vary among accessions and needs to be considered together with watering regimes.</p>
<p>Intensive organic manure in initial seasons did not increase the &#x003B4;<sup>15</sup>N values of rice grains from fields in this study. This finding is similar to Fraser et al. (<xref ref-type="bibr" rid="B25">2011</xref>), where short-term experiments did not show marked manuring effect on cereal &#x003B4;<sup>15</sup>N values. The &#x003B4;<sup>15</sup>N values of most organic rice from fields were above 5&#x02030;, which was an organic rice threshold suggested by Chung et al. (<xref ref-type="bibr" rid="B14">2017</xref>). On the other hand, paddy rice from the control group Shanghai 2017 collection (mean = &#x0002B;6.1 &#x000B1; 1.2&#x02030;, <italic>n</italic> = 9) and from the chemical and organic group Shandong 2020 collection (mean = &#x0002B;5.7 &#x000B1; 0.4&#x02030;, <italic>n</italic> = 15) were also above this threshold. Consequently, manuring is not the only factor for interpreting &#x003B4;<sup>15</sup>N values of rice grains and currently no solid threshold of manuring levels can be suggested.</p>
<p>In addition, the negative correlation of &#x003B4;<sup>13</sup>C values and &#x003B4;<sup>15</sup>N values was found in South Korea samples where long-term intensive organic manure had been applied, and in some of the Shanghai 2017 samples which received one season&#x00027;s high input of organic manure. This finding indicates that the effect of intensive manuring on the &#x003B4;<sup>15</sup>N values may be identifiable, but more data are needed where wetness and manuring vary independently.</p>
</sec>
<sec>
<title>4.4 Differentiating watering and manuring regimes of rice</title>
<p>This study opens a new way for understanding the watering and manuring status of archaeological rice remains. Based on the &#x003B4;<sup>13</sup>C values, it is possible to differentiate the relative wet/dry status of rice (<xref ref-type="fig" rid="F3">Figure 3</xref>, <xref ref-type="table" rid="T7">Table 7</xref>) and to infer management practices such as drainage. Combining the results of the &#x003B4;<sup>13</sup>C values and &#x003B4;<sup>15</sup>N values makes long term application of organic manure discernible for dry rice (<xref ref-type="fig" rid="F4">Figure 4</xref>, <xref ref-type="table" rid="T8">Table 8</xref>) and future study of dry rice receiving only organic manure will further refine this framework. Turning to paddy rice, since both paddy conditions and organic manure increase the &#x003B4;<sup>15</sup>N values of rice grains, the effect of these two factors may mask each other when the manure input is of short term or at relatively low level. However, long-term application of intensive organic manure has the potential to be diagnosed through a negative correlation between the &#x003B4;<sup>13</sup>C values and &#x003B4;<sup>15</sup>N values (<xref ref-type="fig" rid="F7">Figure 7</xref>, <xref ref-type="table" rid="T8">Table 8</xref>). Future studies could focus on paddy and dry rice samples receiving different durations of organic manure application to understand how &#x003B4;<sup>15</sup>N values are affected by long-term manuring. Experimental growth of paddy rice with varying watering and manuring regimes is another important approach to check whether the positive effect of organic manuring on &#x003B4;<sup>15</sup>N values can be differentiated from the effect caused by denitrification in paddy fields.</p>
<table-wrap position="float" id="T8">
<label>Table 8</label>
<caption><p>Indications of the combination of &#x003B4;<sup>13</sup>C values and &#x003B4;<sup>15</sup>N values on rice watering and manuring regimes.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#8f9496;color:#ffffff">
<th valign="top" align="left"><bold>Low &#x003B4;<sup>13</sup>C values, high &#x003B4;<sup>15</sup>N values</bold></th>
<th valign="top" align="left"><bold>High &#x003B4;<sup>13</sup>C values, high &#x003B4;<sup>15</sup>N values</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Watering: high; manuring: signal may be covered by paddy conditions Negative correlation between &#x003B4;<sup>13</sup>C values and &#x003B4;<sup>15</sup>N values may suggest long-term application</td>
<td valign="top" align="left">Watering: low; manuring: long-term application</td>
</tr> <tr style="background-color:#8f9496;color:#ffffff">
<td valign="top" align="left"><bold>Low</bold> &#x003B4;<sup>13</sup><bold>C values, low</bold> &#x003B4;<sup>15</sup><bold>N values</bold></td>
<td valign="top" align="left"><bold>High</bold> &#x003B4;<sup>13</sup><bold>C values, low</bold> &#x003B4;<sup>15</sup><bold>N values</bold></td>
</tr> <tr>
<td valign="top" align="left">Watering: high; manuring: low</td>
<td valign="top" align="left">Watering: low; manuring: low</td>
</tr></tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusions</title>
<p>This study shows that stable carbon and nitrogen isotope values of rice grains are useful indicators of water status, with potential in combination to disentangle watering and manuring practices of archaeological rice remains. In the glasshouse pot growing experiment, we found that &#x003B4;<sup>13</sup>C values tended to have a negative correlation with watering levels, evident in one heritage accession and three modern accessions. Medium and high watering level samples showed lower &#x003B4;<sup>13</sup>C values than low watering level samples across all of the accessions. Similarly, the &#x003B4;<sup>13</sup>C values of experimental rice from paddy fields in eastern China and South Korea were significantly lower than those from dry fields. Field samples analyzed in this study also provide reference values for future research on archaeological rice remains. Dry rice had a mean &#x003B4;<sup>13</sup>C value of &#x02212;26.3 &#x000B1; 0.4&#x02030; while that of paddy rice was &#x02212;27.5 &#x000B1; 0.5&#x02030;. For the mean &#x003B4;<sup>15</sup>N value, that of the control group of dry rice and paddy rice was &#x0002B;3.9 &#x000B1; 1.0&#x02030; and &#x0002B;6.1 &#x000B1; 1.2&#x02030;, respectively.</p>
<p>Paddy conditions also tended to increase the &#x003B4;<sup>15</sup>N values of rice grown in the glasshouse pot experiment. A similar trend was found between unmanured groups of experimental paddy rice and dry rice from fields. Organic manure also increased the &#x003B4;<sup>15</sup>N values of rice grains, as shown by the pot rice with 1% and 5% manuring levels under medium watering level. Nevertheless, the effect of intensive manuring was not observed in initial growing seasons in field experiments, echoing results from the early years of newly established manuring experiments in Europe (Fraser et al., <xref ref-type="bibr" rid="B25">2011</xref>). Therefore, it may take a number of years for manuring effects on the &#x003B4;<sup>15</sup>N values of rice to develop.</p></sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>RW: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Validation, Visualization, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. EB: Methodology, Resources, Writing &#x02013; review &#x00026; editing. YD: Investigation, Writing &#x02013; review &#x00026; editing. SF: Resources, Writing &#x02013; review &#x00026; editing. XF: Resources, Writing &#x02013; review &#x00026; editing. NH: Resources, Writing &#x02013; review &#x00026; editing. FY: Resources, Writing &#x02013; review &#x00026; editing. MC: Conceptualization, Formal analysis, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x02013; review &#x00026; editing. AB: Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x02013; review &#x00026; editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This research was supported by the Chinese Scholarship Council for the study at the University of Oxford, by St Peter&#x00027;s College Graduate Awards and the School of Archaeology&#x00027;s Meyerstein Fund for fieldwork expenses, and by the University of Oxford&#x00027;s John Fell Fund for conducting the glasshouse pot experiment.</p>
</sec>
<ack><p>The authors would like to dedicate this paper to Dr Alison Weisskopf, whose thought-provoking work touched a long-neglected aspect and led us to view rice-growing landscapes in new ways. We thank colleagues at Bad Lauchst&#x000E4;dt (Dr Ines Merbach) and Askov (Professor Bent Christensen) who advised on the base nutrient solution for pot-grown rice. We thank Dr Hyunyoung Kim for the access to samples from Buyeo, South Korea and the introduction of growth information. We thank Dr Jianli Liao for the isotopic data of soils from the Anyway Farm. We thank Professor Guiyun Jin, Yanquan Song, Xuyuan Zhou, Lianguang Zhang, Zongzi Pan, Guilong Zhang, and Zhicai Shang who provided opportunities and assistance for us to investigate samples from Linyi City, Shandong province, China and assisted in sample collection. We thank Lechun Lai, Gang Wu, and Hong Pan who helped with sample preparation. We thank Dr Chulmin Kim, Dr Peter Ditchfield, Dr Amy Styring, David Peat, Dr Elizabeth Stroud, and Corrie Hyland for help and advice on the pot experiment, sample analysis and/or data processing. We thank the reviewers and editors for their comments. This research was supported by the Chinese Scholarship Council, St Peter&#x00027;s College Graduate Awards, the School of Archaeology&#x00027;s Meyerstein Fund and the University of Oxford&#x00027;s John Fell Fund.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fearc.2024.1488754/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fearc.2024.1488754/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_2.xlsx" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_3.xlsx" id="SM3" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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