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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2024.1374453</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Wheat yield and grain-filling characteristics due to cultivar replacement in the Haihe Plain in China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Zhang</surname>
<given-names>Xuecheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Liu</surname>
<given-names>Xiaoli</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Wang</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Qiancheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Yang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Du</surname>
<given-names>Ruirui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Yadong</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1745575"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhen</surname>
<given-names>Wenchao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Yandong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>College of Agronomy, Hebei Agricultural University, State Key Laboratory of North China Crop Improvement and Regulation, Key Laboratory of North China Water&#x2013;saving Agriculture, Ministry of Agriculture and Rural Affairs, Key Laboratory of Crop Growth Regulation of Hebei Province</institution>, <addr-line>Baoding, Hebei</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Agricultural Sciences, Zhengzhou University</institution>, <addr-line>Zhengzhou, Henan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Lorenzo Barbanti, University of Bologna, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Qi Zhang, Nanjing University of Information Science and Technology, China</p>
<p>Ljiljana Kuzmanovic, University of Tuscia, Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Wenchao Zhen, <email xlink:href="mailto:wenchao@hebau.edu.cn">wenchao@hebau.edu.cn</email>; Yandong Wang, <email xlink:href="mailto:wangyandong@hebau.edu.cn">wangyandong@hebau.edu.cn</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>07</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1374453</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>01</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>06</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Zhang, Liu, Wang, Zhao, Yu, Du, Xu, Zhen and Wang</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Zhang, Liu, Wang, Zhao, Yu, Du, Xu, Zhen and Wang</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>
<sec>
<title>Background</title>
<p>The Haihe Plain plays an important role in wheat production and food security in China and has experienced continuous cultivar replacement since the 1950s.This study assessed the evolution of the yield and grain-filling characteristics of the main winter wheat cultivars in the Haihe Plain over the last seven decades (1950s to date).</p>
</sec>
<sec>
<title>Methods</title>
<p>Cultivar characterization indicated that the increase in yield was negatively affected by spike number and positively affected by the number of kernels per spike before the 2000s and kernel weight after the 2000s. Field trials were conducted across two ecological zones over two consecutive wheatgrowing seasons. The results showed that genetic gains in grain yield, spike number, and kernel weight during 1955 to 2021 were 0.629%, 0.574%, and 0.332% year&#x2013;1 on a relative basis or 39.12 kg ha<sup>&#x2013;1</sup>, 24,350 hm<sup>&#x2013;2</sup>, and 0.15 g year<sup>&#x2013;1</sup> on an absolute basis, respectively. However, the increase in the kernel number per spike was not significant. Moreover, cultivar replacement explained 25.6%, 12.8%, and 37.5% of the total variance in grain yield, spike number, and kernel weight, respectively. In summary, during the initial grain-filling stage, wheat cultivar replacement led to the shortening of grain-filling duration and rapid grain-filling rate. However, a longer active grain-filling duration was produced by prolonged durations of rapid and late grain-filling. Additionally, the experimental year had a greater effect on the kernel number, which explained 53.2% of the total variance. Ultimately, modern wheat cultivars had a greater kernel weight.</p>
</sec>
<sec>
<title>Results</title>
<p>Although the increase in kernel weight has affected grain yield during cultivar replacements in the Haihe Plain, the potential for further yield increase through kernel weight enhancement alone is limited. Consequently, future breeding efforts and cultivation practices should focus on improving spike traits and canopy architecture to enhance productivity.</p>
</sec>
</abstract>
<kwd-group>
<kwd>Haihe Plain</kwd>
<kwd>winter wheat</kwd>
<kwd>cultivar replacement</kwd>
<kwd>grain yield</kwd>
<kwd>grain-filling characters</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="1"/>
<equation-count count="22"/>
<ref-count count="65"/>
<page-count count="13"/>
<word-count count="6850"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Crop and Product Physiology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Wheat (<italic>Triticum aestivum</italic> L.), one of the most extensively cultivated crops worldwide, is a vital component of the global food security mosaic and accounts for one-fifth of the world&#x2019;s total calories (<xref ref-type="bibr" rid="B41">Reynolds et&#xa0;al., 2011</xref>). The Haihe Plain, situated in the northern part of the Huanghuaihai Plain in China, is an important wheat-producing region. In 2021, the area dedicated to wheat cultivation was 2,247 million hectares, yielding a total production of 14,691 million tons (<xref ref-type="bibr" rid="B33">NBS, 2022</xref>). Since 1949, the Huanghuaihai wheat region has undergone seven to eight cultivar updates, leading to substantial advancements. In the 1960s, wheat yields were below 750 kg ha<sup>&#x2013;1</sup> due to stripe rust and inadequate cultivation techniques. However, the 1970s marked a significant improvement with the introduction of high-yield potential and rust-resistant cultivars, increasing yields to 1,500 kg ha<sup>&#x2013;1</sup>. The 1980s brought further advancements, including improved lodging resistance, resulting in yields exceeding 3,750 kg ha<sup>&#x2013;1</sup>. During the 1990s, the development of high-yielding, multi-resistant cultivars pushed yields to between 4,500 and 5,400 kg ha<sup>&#x2013;1</sup>. In the 21st century, the focus has shifted to cultivars that offer high productivity, quality, and efficiency (<xref ref-type="bibr" rid="B12">Chen et&#xa0;al., 2008</xref>). Therefore, clarity regarding the evolutionary law of yield and agronomic traits of cultivar replacement for the breeding, cultivation, and management of winter wheat in the Haihe Plain is needed.</p>
<p>Since the Green Revolution, the introduction of semi-dwarf cultivars has led to dramatic increases in wheat yield (<xref ref-type="bibr" rid="B44">Shiferaw et&#xa0;al., 2013</xref>). Research has shown that reductions in plant height are key traits associated with genetic gains in wheat, and the genetic gain in wheat plant height was &#x2212;0.5% (<xref ref-type="bibr" rid="B60">Zhang et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B52">Wang et&#xa0;al., 2023</xref>). The replacement of wheat cultivars has optimized the distribution of dry matter. Root systems, as absorbing organs, are smaller in modern cultivars (<xref ref-type="bibr" rid="B15">Fang et&#xa0;al., 2021</xref>). Modern cultivars exhibit a decrease in total root length and root biomass (BIO), with total root length per plant following a non-linear decline pattern with the year of release, decreasing from 16.2 m plant<sup>&#x2212;1</sup> to 10.1 m plant<sup>&#x2212;1</sup>, and total root BIO declining linearly with the year of release at a rate of 0.058 g plant<sup>&#x2212;1</sup> year<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B28">Ludlow and Muchow, 1990</xref>; <xref ref-type="bibr" rid="B5">Aziz et&#xa0;al., 2016</xref>). The smaller root systems of modern wheat cultivars enhance population performance, increase the harvest index (HI), and consequently boost yield, with the root-to-shoot ratio negatively correlated with yield (<italic>r</italic> = &#x2212;0.77) and the HI positively correlated with yield (<italic>r</italic> = 0.74) (<xref ref-type="bibr" rid="B65">Zhu et&#xa0;al., 2018</xref>). Additionally, the improvement of photosynthetic performance can also be caused by cultivar replacements. <xref ref-type="bibr" rid="B49">Tian et&#xa0;al. (2011)</xref> found that leaf area, leaf area index (LAI), and the net photosynthetic rate (<italic>P</italic>
<sub>n</sub>) of flag leaves significantly increased during cultivar development. Specifically, the leaf area increased by 0.41&#x2013;0.53 cm<sup>2</sup> annually, with LAI gradually rising from 4.87 to 6.03. The <italic>P</italic>
<sub>n</sub> of the flag leaf also increased gradually, from 19.24 to 22.22 &#x3bc;mol CO<sub>2</sub> m<sup>&#x2212;2</sup> s<sup>&#x2212;1</sup>. This enhancement in photosynthetic performance was primarily achieved by prolonging the photosynthetic duration. The photosynthetic activity duration similarly increased with cultivar development, from 266.58 to 334.74 &#x3bc;mol CO<sub>2</sub> m<sup>&#x2212;2</sup> s<sup>&#x2212;1</sup> day. <xref ref-type="bibr" rid="B7">Beche et&#xa0;al. (2014)</xref> demonstrated that increasing the HI and BIO led to higher grain yields. The HI increased on average by 0.24% year<sup>&#x2212;1</sup>, while BIO also increased, with an average increase of 47.59 kg ha<sup>&#x2212;1</sup> year<sup>&#x2212;1</sup>. However, as a crucial aspect of yield formation and BIO allocation, studies on the effects of variety replacement on grain-filling characteristics are still relatively rare.</p>
<p>The replacement of crop cultivars has a significant influence on yield. For example, <xref ref-type="bibr" rid="B11">Cao (2001)</xref> showed that wheat cultivars replaced once can generally increase the yield by approximately 10% The annual genetic gain in wheat yield in the northern wheat region of China was 0.48%&#x2013;1.23% (<xref ref-type="bibr" rid="B63">Zhou et&#xa0;al., 2007a</xref>; <xref ref-type="bibr" rid="B39">Qin et&#xa0;al., 2019</xref>). <xref ref-type="bibr" rid="B2">Aisawi et&#xa0;al. (2015)</xref> showed that wheat kernel weight gradually increased with cultivar replacements, but kernel number per spike did not change significantly. <xref ref-type="bibr" rid="B48">Thapa et&#xa0;al. (2019)</xref> showed that, compared with spike number and kernel number per spike, kernel weight had the greatest response to water stress. Owing to the continuous increase in grain production in the Haihe Plain over the past 50 years, groundwater extraction in agricultural areas has continuously increased (<xref ref-type="bibr" rid="B17">Feng et&#xa0;al., 2013</xref>). Therefore, water conservation and drought resistance are highly desirable traits that require an increase in the kernel weight of wheat to stabilize the spike number. Wheat kernel weight mainly depends on the transport and distribution of assimilates to grains during grain formation (<xref ref-type="bibr" rid="B50">Wan et&#xa0;al., 2022</xref>). Sink strength, which includes sink size and activity, affects the ability of wheat grains to accept assimilates (<xref ref-type="bibr" rid="B14">Dreccer et&#xa0;al., 1997</xref>; <xref ref-type="bibr" rid="B9">Borr&#xe1;s et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B20">Hidaka et&#xa0;al., 2019</xref>). Meanwhile, sink activity is influenced by grain-filling characteristics, which change the grain-filling rate, thereby controlling kernel weight; therefore, sink activity is enhanced in newer wheat cultivars by changing the grain-filling characteristics to increase kernel weight (<xref ref-type="bibr" rid="B21">Ho, 1996</xref>). Old wheat cultivars are affected by early senescence and relatively less dry matter accumulation during the grain-filling period, resulting in lower wheat kernel weight (<xref ref-type="bibr" rid="B1">Acreche and Slafer, 2009</xref>).</p>
<p>The grain-filling characteristics have a significant impact on the yield and kernel weight. Currently, there is considerable research on wheat-filling characteristics and yield in the Haihe Plain, but most of these studies have only focused on the factors affecting grain-filling in single cultivars or cultivars in the same period (<xref ref-type="bibr" rid="B62">Zheng et&#xa0;al., 2022</xref>). However, few studies have been conducted on the evolution of the yield and grain-filling characteristics of wheat during cultivar replacement. In this study, we analyzed wheat yield progress and grain-filling characteristics of wheat cultivar replacement in the Haihe Plain over the last seven decades to (1) clarify patterns in yield and yield component changes over the last 70 years of the main winter wheat cultivars in different years in the Haihe Plain, and (2) understand the response of grain-filling characteristics to cultivar replacement.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study site</title>
<p>This study was conducted in Hebei Province at the Mazhuang Experimental Station (MZ, 37&#xb0;47&#x2032;52&#x2033;N, 115&#xb0;18&#x2032;28&#x2033;E) during the 2021/2022 wheat growing season and at the Malan Experimental Station (ML, 37&#xb0;58&#x2032;28&#x2033;N, 115&#xb0;12&#x2032;2&#x2033;E) during the 2021/2022 and 2022/2023 wheat growing seasons (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The MZ and ML experimental stations were located in the Piedmont Plain of Mt. Taihang and the Heilonggang Plain, respectively, at elevations of 53 and 37 m in the Haihe Plain (<xref ref-type="bibr" rid="B22">Hou and Hao, 2010</xref>). Both the Heilonggang Plain and the Piedmont Plain of Mt. Taihang have a warm temperate semi-humid continental monsoon climate, whereas the Piedmont Plain of Mt. Taihang has relatively good soil conditions (<xref ref-type="bibr" rid="B4">Asadi Zarch et&#xa0;al., 2015</xref>). The annual precipitation in 2021/2022 and 2022/2023 was 804.7 mm and 731.0 mm, respectively, with the wheat growing season receiving 174.1 mm and 181.9 mm of precipitation, respectively. The annual average temperatures for the 2021/2022 and 2022/2023 seasons were 17.2&#xb0;C and 15.14&#xb0;C, respectively, with the wheat growing season averaging 8.7&#xb0;C and 9.4&#xb0;C, respectively. During the 2022/2023 season, the lowest temperature reached &#x2212;9.3&#xb0;C (<xref ref-type="supplementary-material" rid="SF1">
<bold>Supplementary Figure S1</bold>
</xref>). The organic matter, total nitrogen, alkaline-dissolved nitrogen, available phosphorus, and potassium in the study area during the experiments were 22.4 g kg<sup>&#x2013;1</sup>, 1.26 g kg<sup>&#x2013;1</sup>, 131.2 mg kg<sup>&#x2013;1</sup>, 25.8 mg kg<sup>&#x2013;1</sup>, and 122.2 mg kg<sup>&#x2013;1</sup>, respectively, in MZ, and 19.7 g kg<sup>&#x2013;1</sup>, 1.09 g kg<sup>&#x2013;1</sup>, 125.0 mg kg<sup>&#x2013;1</sup>, 15.32 mg kg<sup>&#x2013;1</sup>, and 101.3 mg kg<sup>&#x2013;1</sup>, respectively, in ML.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Location of experimental field sites.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1374453-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental design</title>
<p>The field arrangement followed a single-factor randomized block design with three replicates. A total of 29 winter wheat cultivars, the main cultivars in the Haihe Plain in certain years, were selected as treatments. The experimental materials were provided by the Hebei Provincial Agricultural Biological Resources Preservation Center (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The plot area was 30 m<sup>2</sup> (6 m &#xd7; 5 m; row spacing: 15 cm). Basal fertilizer consisting of 120 kg ha<sup>&#x2013;1</sup> N, 120 kg ha<sup>&#x2013;1</sup> P<sub>2</sub>O<sub>5</sub>, and 120 kg ha<sup>&#x2013;1</sup> K<sub>2</sub>O was applied in ML and MZ at Zadoks Stage 0, respectively. Wheat seeds were sown in ML and MZ at Zadoks Stage 0 (<xref ref-type="bibr" rid="B59">Zadoks et&#xa0;al., 1974</xref>) with a seeding rate of 375 seed m<sup>&#x2212;2</sup> and harvested in ML and MZ on 6 June and 10 June 2021 and in ML on 8 June 2022. Using the local irrigation system, irrigation was applied at the jointing at Zadoks Stage 31 and anthesis at Zadoks Stage 65 (<xref ref-type="bibr" rid="B59">Zadoks et&#xa0;al., 1974</xref>) with 90 mm of groundwater each time (<xref ref-type="bibr" rid="B16">Fang et&#xa0;al., 2017</xref>). Additionally, 120 kg ha<sup>&#x2013;1</sup> of N was applied during the jointing stage with irrigation, and weed and pest control were performed regularly during the growth period.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Winter wheat cultivars used in this study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" align="left">Cultivars</th>
<th valign="middle" align="left">Origin</th>
<th valign="middle" align="left">Founder parent</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">1955</td>
<td valign="middle" align="left">Shijiazhuang407</td>
<td valign="middle" align="left">Shenglimai/Yanda1817</td>
<td valign="middle" align="left">Shenglimai/Yanda1817</td>
</tr>
<tr>
<td valign="middle" align="left">1962</td>
<td valign="middle" align="left">Beijing8</td>
<td valign="middle" align="left">Bima4/Zaoyangmai</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1965</td>
<td valign="middle" align="left">Shijiazhuang54</td>
<td valign="middle" align="left">Bima4/Zaoyangmai</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1965</td>
<td valign="middle" align="left">Jinan2</td>
<td valign="middle" align="left">Bima4/Zaoyangmai</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1976</td>
<td valign="middle" align="left">Jimai1</td>
<td valign="middle" align="left">Beijing8/H.H/Orofen</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1976</td>
<td valign="middle" align="left">Jimai2</td>
<td valign="middle" align="left">Beijing8/H.H/Orofen</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1978</td>
<td valign="middle" align="left">Jimai3</td>
<td valign="middle" align="left">H.HPZ41/Shijiazhuang54</td>
<td valign="middle" align="left">Zaoyangmai</td>
</tr>
<tr>
<td valign="middle" align="left">1984</td>
<td valign="middle" align="left">Taishan1</td>
<td valign="middle" align="left">Bima4/Zaoshu1/Orofen</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1988</td>
<td valign="middle" align="left">Jimai26</td>
<td valign="middle" align="left">Aiganzao/Lovelin10/Jinfeng1</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">1992</td>
<td valign="middle" align="left">Jimai30</td>
<td valign="middle" align="left">78&#x2013;3147/Shi4414</td>
<td valign="middle" align="left">Ourou/Zaoyangmai</td>
</tr>
<tr>
<td valign="middle" align="left">1994</td>
<td valign="middle" align="left">Jimai36</td>
<td valign="middle" align="left">715017/Shanqian/75&#x2013;78/94354</td>
<td valign="middle" align="left">Bimamai/Biyumai</td>
</tr>
<tr>
<td valign="middle" align="left">1996</td>
<td valign="middle" align="left">Jimai38</td>
<td valign="middle" align="left">Zhi4001/Shi4212&#x2013;10</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">1997</td>
<td valign="middle" align="left">Heng4041</td>
<td valign="middle" align="left">Jimai26/211&#x2013;4/Jimai 26</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">1997</td>
<td valign="middle" align="left">Shi4185</td>
<td valign="middle" align="left">Zhi8094/Baofeng7228/Shi84&#x2013;7120</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">1998</td>
<td valign="middle" align="left">Han4589</td>
<td valign="middle" align="left">Han86&#x2013;4032/85Zhong47</td>
<td valign="middle" align="left">Han4032</td>
</tr>
<tr>
<td valign="middle" align="left">1998</td>
<td valign="middle" align="left">Cang6001</td>
<td valign="middle" align="left">Linfen6145/Jimai32</td>
<td valign="middle" align="left">Shenglimai/Yanda1817</td>
</tr>
<tr>
<td valign="middle" align="left">2001</td>
<td valign="middle" align="left">Heng95Guan26</td>
<td valign="middle" align="left">Heng84Guan749/Heng87&#x2013;263</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">2001</td>
<td valign="middle" align="left">Han6172</td>
<td valign="middle" align="left">Han4032/Zhongyin1</td>
<td valign="middle" align="left">Han4032</td>
</tr>
<tr>
<td valign="middle" align="left">2003</td>
<td valign="middle" align="left">Shijiazhuang8</td>
<td valign="middle" align="left">Shi91&#x2013;5096/Shi9306</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">2004</td>
<td valign="middle" align="left">Shiluan02&#x2013;1</td>
<td valign="middle" align="left">9411/9430</td>
<td valign="middle" align="left">Linzhangmai</td>
</tr>
<tr>
<td valign="middle" align="left">2004</td>
<td valign="middle" align="left">Hengguan35</td>
<td valign="middle" align="left">Heng84Guan749/Heng87&#x2013;4263</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">2006</td>
<td valign="middle" align="left">Jimai22</td>
<td valign="middle" align="left">935024/935106</td>
<td valign="middle" align="left">Fengchan3</td>
</tr>
<tr>
<td valign="middle" align="left">2007</td>
<td valign="middle" align="left">Shimai15</td>
<td valign="middle" align="left">Jimai38/92R137</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">2008</td>
<td valign="middle" align="left">Heng4399</td>
<td valign="middle" align="left">Han6172/Hengsui28</td>
<td valign="middle" align="left">Han4032</td>
</tr>
<tr>
<td valign="middle" align="left">2013</td>
<td valign="middle" align="left">Shimai22</td>
<td valign="middle" align="left">Lin8014/Jimai 38/Shi4185</td>
<td valign="middle" align="left">Lovelin10</td>
</tr>
<tr>
<td valign="middle" align="left">2019</td>
<td valign="middle" align="left">Shinong086</td>
<td valign="middle" align="left">Lumai14/Han6172</td>
<td valign="middle" align="left">Fengchan3</td>
</tr>
<tr>
<td valign="middle" align="left">2021</td>
<td valign="middle" align="left">Malan1</td>
<td valign="middle" align="left">Jimai22/Jinhe9123</td>
<td valign="middle" align="left">Fengchan3</td>
</tr>
<tr>
<td valign="middle" align="left">2021</td>
<td valign="middle" align="left">Malan6</td>
<td valign="middle" align="left">Gaoyou2018/ShiU09&#x2013;4366</td>
<td valign="middle" align="left">Linzhangmai</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Information on winter wheat cultivars of all decades was obtained from <xref ref-type="bibr" rid="B12">Chen et&#xa0;al. (2008)</xref> and <xref ref-type="bibr" rid="B24">Li (2014)</xref>. The information on wheat cultivars after the 2000s was from the Agricultural Dominant Cultivars and Recommended Technologies released by the Department of Agriculture and Rural Affairs of Hebei Province.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Sampling and laboratory analysis</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Grain-filling rate determination</title>
<p>At anthesis (Zadoks Stage 65), 100 spikes with consistent anthesis and similar growth without pests or diseases were marked in each plot, and samples were taken every 3 days from 7 days after anthesis according to each cultivar&#x2019;s anthesis date until harvest. All grains were dried at 80&#xb0;C for 72 h to a constant weight to obtain the dry weight.</p>
<p>A logistic growth curve was fitted to the grain-filling rate using <xref ref-type="disp-formula" rid="eq1">Equation 1</xref> (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>) (<xref ref-type="bibr" rid="B25">Liu et&#xa0;al., 2022</xref>):</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The schematic diagram of grain dry matter accumulation (red line) and grain-filling rate (black line) of winter wheat.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1374453-g002.tif"/>
</fig>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi>B</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>W</italic> is the single kernel weight in mg, <italic>A</italic> is the final kernel weight (Zadoks Stage 92) in mg, <italic>t</italic> (d) is the number of days after anthesis, and <italic>B</italic> and <italic>K</italic> are the regression coefficients.</p>
<p>The maximum grain-filling rate (<italic>R<sub>max</sub>
</italic>, mg grain<sup>&#x2013;1</sup>&#xb7;d<sup>&#x2013;1</sup>) was calculated using <xref ref-type="disp-formula" rid="eq2">Equation 2</xref>:</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>K</mml:mi>
<mml:msubsup>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mi>A</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The average grain-filling rate (<italic>V<sub>mean</sub>
</italic>, mg grain<sup>&#x2013;1</sup> d<sup>&#x2013;1</sup>) was calculated using <xref ref-type="disp-formula" rid="eq3">Equation 3</xref>:</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mn>0.99</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The effective duration of grain-filling (<italic>T</italic>
<sub>0.99</sub>, d) was calculated using <xref ref-type="disp-formula" rid="eq4">Equation 4</xref>:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mn>0.99</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>4.59512</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The time required to reach the maximum grain-filling rate (<italic>T<sub>max</sub>
</italic>, d) was calculated using <xref ref-type="disp-formula" rid="eq5">Equation 5</xref>:</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The active grain-filling period (<italic>p</italic>, d) was calculated using <xref ref-type="disp-formula" rid="eq6">Equation 6</xref>:</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>6</mml:mn>
<mml:mi>K</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The duration of the initial grain-filling rate (<italic>T</italic>
<sub>1</sub>, d) was calculated using <xref ref-type="disp-formula" rid="eq7">Equation 7</xref>:</p>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.317</mml:mn>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The average grain-filling rate at the initial grain-filling stage (<italic>v</italic>
<sub>1</sub>, mg grain<sup>&#x2212;1</sup> d <sup>&#x2212;1</sup>) was calculated using <xref ref-type="disp-formula" rid="eq8">Equations 8</xref>, <xref ref-type="disp-formula" rid="eq9">9</xref>, as follows:</p>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi>B</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>K</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq9">
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The duration of the rapid grain-filling rate (<italic>T</italic>
<sub>2</sub>, d) was calculated using <xref ref-type="disp-formula" rid="eq10">Equation 10</xref>:</p>
<disp-formula id="eq10">
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1.317</mml:mn>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.317</mml:mn>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The average grain-filling rate of the rapid grain-filling stage (<italic>v</italic>
<sub>2</sub>, mg grain<sup>&#x2212;1</sup> d<sup>&#x2212;1</sup>) was calculated using <xref ref-type="disp-formula" rid="eq11">Equations 11</xref>, <xref ref-type="disp-formula" rid="eq12">12</xref>, as follows:</p>
<disp-formula id="eq11">
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi>B</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.317</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq12">
<label>(12)</label>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The duration of the late grain-filling rate (<italic>T</italic>
<sub>3</sub>, d) was calculated using <xref ref-type="disp-formula" rid="eq13">Equation 13</xref>:</p>
<disp-formula id="eq13">
<label>(13)</label>
<mml:math display="block" id="M13">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>4.59512</mml:mn>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1.317</mml:mn>
</mml:mrow>
<mml:mi>K</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The average grain-filling rate at the late grain-filling stage (<italic>v</italic>
<sub>3</sub>, mg grain<sup>&#x2013;1</sup> d<sup>&#x2013;1</sup>) was calculated using <xref ref-type="disp-formula" rid="eq14">Equations 14</xref>, <xref ref-type="disp-formula" rid="eq15">15</xref>, as follows:</p>
<disp-formula id="eq14">
<label>(14)</label>
<mml:math display="block" id="M14">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi>B</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4.59512</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq15">
<label>(15)</label>
<mml:math display="block" id="M15">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Yield and yield components</title>
<p>At maturity (Zadoks Stage 92), a 1-m<sup>2</sup> area from each plot was harvested to measure the spike number, thousand-kernel weight, and grain yield. The kernel number per spike (kernel number) was determined by dividing the grain yield by the product of the spike number and average kernel weight. The grain moisture content was adjusted to 13%. Data on the yield and yield components of the officially approved cultivars were obtained from the First Seed Production Industry (<ext-link ext-link-type="uri" xlink:href="http://www.a-seed.cn/">http://www.a-seed.cn/</ext-link>).</p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Statistical analysis</title>
<p>The logarithmic mean Divisia index (LMDI) method, which is a well-known decomposition model, was used to decompose the contribution of grain yield variation in different years to spike number, kernel number per spike, and grain weight (<xref ref-type="bibr" rid="B57">Xie et&#xa0;al., 2019</xref>). The grain yield (<italic>&#x394;Y</italic>) changes from years <italic>t&#x2212;</italic>1 to years <italic>t</italic> was calculated using <xref ref-type="disp-formula" rid="eq16">Equation 16</xref>, as follows:</p>
<disp-formula id="eq16">
<label>(16)</label>
<mml:math display="block" id="M16">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>Y</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:mi>G</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where, <italic>&#x394;S</italic>, <italic>&#x394;G</italic>, and <italic>&#x394;K</italic>, respectively, represent the influence of the spike number, kernel number per spike, and kernel weight on the changes of grain yield, whose relevant decomposition factors between <italic>t</italic> and <italic>t&#x2212;</italic>1 was calculated using <xref ref-type="disp-formula" rid="eq17">Equations 17</xref>&#x2013;<xref ref-type="disp-formula" rid="eq20">20</xref>, as follows:</p>
<disp-formula id="eq17">
<label>(17)</label>
<mml:math display="block" id="M17">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq18">
<label>(18)</label>
<mml:math display="block" id="M18">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>G</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq19">
<label>(19)</label>
<mml:math display="block" id="M19">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>K</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where</p>
<disp-formula id="eq20">
<label>(20)</label>
<mml:math display="block" id="M20">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msup>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The genetic gain (GN) in grain yield and its components based on cultivar release date was calculated using <xref ref-type="disp-formula" rid="eq21">Equations 21</xref>, <xref ref-type="disp-formula" rid="eq22">22</xref> (<xref ref-type="bibr" rid="B36">OrtizMonasterio et&#xa0;al., 1997</xref>):</p>
<disp-formula id="eq21">
<label>(21)</label>
<mml:math display="block" id="M21">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq22">
<label>(22)</label>
<mml:math display="block" id="M22">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>b</mml:mi>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>y<sub>i</sub>
</italic> is the grain yield and its components of cultivar <italic>i</italic>, ln(<italic>y<sub>i</sub>
</italic>) is the natural log of <italic>y<sub>i</sub>
</italic>, <italic>x<sub>i</sub>
</italic> is the year in which cultivar <italic>i</italic> was released, <italic>a</italic> is the estimated intercept of each equation, and <italic>&#x3bc;</italic> is the residual error. The linear function (<xref ref-type="disp-formula" rid="eq21">Equation 21</xref>) provides an estimate of the grain yield and its components increase based on cultivar release date in absolute terms (i.e., <italic>b</italic> measures grain yield and its components gain), while the logarithmic function (<xref ref-type="disp-formula" rid="eq22">Equation 22</xref>) gives the relative grain yield and its components increase (d<italic>y<sub>i</sub>
</italic>/d<italic>x<sub>i</sub>
</italic>) such that 100<italic>b</italic> estimates the percentage grain yield and its components gain per year. All parameters were estimated using a restricted maximum likelihood linear mixed effects model (RMLM). The RMLM was also used to evaluate the effects of cultivar replacement and planting location on the grain yield, yield components, and grain-filling parameters of winter wheat. Winter wheat cultivar nested in the founder parent as a random effect for a lack of independence within cultivar and founder parent between year of cultivar release, experimental year, and site. The RMLM was conducted in the &#x201c;<italic>lme4</italic>&#x201d; package of R (version 4.2.1) (<xref ref-type="bibr" rid="B6">Bates et&#xa0;al., 2015</xref>). The variances of each fixed variable, random variable, and unexplained factor were calculated using variance decomposition, which was performed in the &#x201c;<italic>partR2</italic>&#x201d; package of R (<xref ref-type="bibr" rid="B46">Stoffel et&#xa0;al., 2020</xref>). Additionally, redundancy analysis (RDA) was conducted using the &#x201c;<italic>vegan</italic>&#x201d; package of R (<xref ref-type="bibr" rid="B34">Oksanen et&#xa0;al., 2023</xref>), with the grain-filling parameters as independent variables, and cultivar replacement and experimental location as dependent variables. All figures were generated using ArcGIS 10.2, OriginPro 2021 and the &#x201c;<italic>ggplot2</italic>&#x201d; package in R (<xref ref-type="bibr" rid="B54">Wickham, 2016</xref>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Effect of yield components on yield during cultivar replacement</title>
<p>The results of the official cultivar approval showed that the yield of wheat increased, the spike number per unit area decreased, and the kernel number per spike and kernel weight increased over the analyzed timespan (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A&#x2013;D</bold>
</xref>). The LMDI results indicated that the spike number had a negative contribution yield increase, except in the 2020s. Kernel number had a greater positive contribution to yield before the 2000s, while the kernel weight contributed positively to yield after the 2000s. Notably, the contribution of kernel weight in the 2020s increased by 43.95% compared to the 1980s (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3I</bold>
</xref>). Similarly, field experiment results showed that the yield of main winter wheat cultivars in the Haihe Plain has increased from the 1950s to the present. This increase in yield was accompanied by a decrease in spike number, and an increase in kernel number per spike and kernel weight (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3E&#x2013;H</bold>
</xref>). According to the LMDI results, except for the 2000s, the spike number consistently had a negative contribution to yield increase. The LMDI indexes for the spike number were &#x2212;3,222.1, &#x2212;486.7, &#x2212;767.7, &#x2212;1,642.5, 1,137.1, &#x2212;1,183.44, and &#x2212;2,858.01 from the 1960s to the 2020s, respectively. Kernel number had a greater positive contribution before the 2000s, and the LMDI indexes for the kernel number were 2,126.3, 289.9, 72.7, &#x2212;333.7, 605.3, &#x2212;105.7, and &#x2212;491.9 from the 1960s to the 2020s, respectively. After the 2000s, kernel weight contributed positively to yield, and the LMDI indexes for the kernel weight were &#x2212;282.8, 152.5, 1,384.4, &#x2212;627.5, 310.2, 1,087.3, and 1,350.9 from the 1960s to the 2020s, respectively (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3J</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Wheat yield and its components in different years, and LMDI decomposition of the contribution of yield components to yield. <bold>(A&#x2013;D, I)</bold> Wheat yield, its components, and LMDI decomposition of official cultivar approval data; <bold>(E&#x2013;H, J)</bold> wheat yield, its components, and LMDI decomposition of field data.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1374453-g003.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Grain yield and its components</title>
<p>In this study, the average grain yields from the 1950s to the 2020s were 6,311.1, 6,029.8, 6,299.1, 7,742.8, 7,662.2, 8,146.3, 8,536.5, and 9,014.2 kg ha<sup>&#x2013;1</sup>, respectively. The average spike number was 638.7, 501.7, 527.4, 509.5, 432.9, 461.1, 453.1, and 373.7 &#xd7;10<sup>4</sup> ha<sup>&#x2013;1</sup>, respectively, from the 1950s to the 2020s. The average kernel number per spike was 32.8, 36.4, 35.9, 38.3, 39.9, 37.9, 39.1, and 39.4, respectively, from the 1950s to the 2020s. The average thousand kernel weight was 41.9, 39.6, 42.4, 43.5, 44.8, 44.9, 48.4, and 52.7 g, respectively, from the 1950s to the 2020s. The results of RMLM showed that grain yield significantly increased by 39.12 kg ha<sup>&#x2013;1</sup> and kernel weight significantly increased by 0.15 g year<sup>&#x2013;1</sup>, respectively, spike number significantly declined by 24,350 hm<sup>&#x2013;2</sup> year<sup>&#x2013;1</sup> (<italic>p</italic> &lt; 0.001), but the kernel number per spike did not significantly increase (<italic>p</italic> &gt; 0.05) (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A&#x2013;D</bold>
</xref>). Genetic gain refers to the improvement in average genetic value in a population or the improvement in average phenotypic value due to selection within a population over cycles of breeding. In this study, genetic gain specifically refers to the annual percentage increase or decrease in yield and yield components. GN of grain yield, spikes per unit area, kernel number per spike, and kernel weight were 0.629%, &#x2013;0.574%, 0.158%, and 0.332%, respectively (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A&#x2013;D</bold>
</xref>). Furthermore, the results of variance decomposition showed that the year of release accounted for 25.6% of the variation in grain yield, whereas planted location, unexplained factors, and experimental year accounted for 11.8%, 50.9%, and 7.38% of the variation, respectively (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4E</bold>
</xref>). This finding indicates that in addition to varietal replacement, cultivation conditions, experimental year, and other factors have a large impact on grain yield. Kernel weight was affected more by the year of release, accounting for 37.5% of the variation, and spike number was affected more by the experimental year, accounting for 53.2% of the variation. Kernel number was mainly affected by the experimental location, accounting for 15.7% of the variation (<xref ref-type="supplementary-material" rid="SF3">
<bold>Supplementary Table S1</bold>
</xref>; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The relationship between grain yield of winter wheat and yield component with year of release by RMLM. <bold>(A&#x2013;D)</bold> The relationship between grain yield of winter wheat and yield component with year of release; <bold>(E)</bold> Year, site, ex-year, random, and unexplained contributions to the variation in wheat yield and its components. The black dashed lines with edges represent the 95% confidence interval, and the red solid line is the fitted line.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1374453-g004.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Grain-filling characteristics</title>
<p>The logistic regression model accurately captured the trends in the wheat grain-filling process (<italic>R</italic>
<sup>2</sup> &gt; 0.9) (<xref ref-type="supplementary-material" rid="SF4">
<bold>Supplementary Table S2</bold>
</xref>). Kernel weight growth showed an &#x201c;S&#x201d;-shaped increase in kernel weight during the grain-filling process when visualized. With the replacement of cultivars, the kernel weight of modern cultivars was higher than that of earlier cultivars (<xref ref-type="supplementary-material" rid="SF2">
<bold>Supplementary Figure S2A</bold>
</xref>). The grain-filling rate increased first and then decreased. The grain-filling rate indicated that the grain weight initially increased until it reached <italic>T<sub>max</sub>
</italic>, the time to reach the maximum grain-filling rate, after which it began to decrease. The <italic>T<sub>max</sub>
</italic> advanced with the replacement of cultivars, which were 20.3, 19.1, 20.1, 19.7, 18.9, 18.9, 18.3 and 17.1 days for the 1950s&#x2013;2020s, respectively. <italic>R<sub>max</sub>
</italic> also increased gradually, except in the 1950s, with values of 2.7, 2.2, 2.2, 2.1, 2.2, 2.2, 2.3, and 2.4 mg grain<sup>&#x2013;1</sup> d<sup>&#x2013;1</sup> in the 1950s&#x2013;2020s, respectively (<xref ref-type="supplementary-material" rid="SF2">
<bold>Supplementary Figure S2B</bold>
</xref>; <xref ref-type="supplementary-material" rid="SF5">
<bold>Supplementary Table S3</bold>
</xref>).</p>
<p>RDA was used to determine the response of the grain-filling characteristics to the replacement of cultivars, planting locations, and experimental year. These three constraining variables explained 61.0% of the variation in grain-filling characteristics (<xref ref-type="supplementary-material" rid="SF6">
<bold>Supplementary Table S4</bold>
</xref>). The results showed that RDA1 accounted for 51.4% and RDA2 for 7.3% of the total variation in the grain-filling characteristics (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>). From left to right (MZ to ML, 2021/2022 to 2022/2023), <italic>v</italic>
<sub>1</sub>
<italic>, T</italic>
<sub>3</sub>
<italic>, p, T</italic>
<sub>2</sub>
<italic>, T</italic>
<sub>0.99</sub>, and <italic>T<sub>max</sub>
</italic> decreased as the cultivation ecological environment deteriorated, whereas <italic>v<sub>mean</sub>, v</italic>
<sub>2</sub>
<italic>, R<sub>max</sub>, v</italic>
<sub>3</sub>, and <italic>T</italic>
<sub>1</sub> increased (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>). Moreover, <italic>T</italic>
<sub>0.99</sub>, <italic>T</italic>
<sub>3</sub>, <italic>p</italic>, <italic>v<sub>mean</sub>
</italic>, <italic>T</italic>
<sub>2</sub>, <italic>v</italic>
<sub>1</sub>, <italic>v</italic>
<sub>2</sub>, and <italic>R<sub>max</sub>
</italic> values were positively correlated with the year of cultivar release, whereas <italic>T<sub>max</sub>
</italic>, <italic>T</italic>
<sub>1</sub>, and <italic>v</italic>
<sub>3</sub> were negatively correlated with the year the cultivars were released (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>). RDA was also used to determine the response of grain yield and kernel weight to grain-filling characteristics (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>). Grain yield and kernel weight explained 72.3% of the variation in grain-filling characteristics (<xref ref-type="supplementary-material" rid="SF6">
<bold>Supplementary Table S4</bold>
</xref>). The results showed that RDA1 accounted for 67.5% and RDA2 accounted for 4.8% of the total variation in grain yield and kernel weight, respectively, but RDA2 was not significant (<italic>p</italic> &gt; 0.05). From right to left, <italic>T</italic>
<sub>0.99</sub>
<italic>, T</italic>
<sub>2</sub>, <italic>T</italic>
<sub>3</sub>, <italic>T<sub>max</sub>
</italic>, and <italic>v</italic>
<sub>1</sub> increased as grain yield and kernel weight increased, whereas <italic>T</italic>
<sub>1</sub>
<italic>, v</italic>
<sub>2</sub>
<italic>, v</italic>
<sub>3</sub>
<italic>, R<sub>max</sub>
</italic>, and <italic>v<sub>mean</sub>
</italic> decreased.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Ordination plots of the results from the redundancy analysis (RDA) to identify the relationships between winter wheat grain-filling characteristics with planting location and year of release <bold>(A)</bold> and between grain yield and kernel weight with grain-filling characteristics <bold>(B)</bold>. <italic>R<sub>max</sub>
</italic> is the maximum grain-filling rate, <italic>V<sub>mean</sub>
</italic> is the average grain-filling rate, <italic>T</italic>
<sub>0.99</sub> is the effective duration of the grain-filling, <italic>T<sub>max</sub>
</italic> is the time to reach the maximum grain-filling rate, <italic>p</italic> is the active grain-filling period, <italic>T</italic>
<sub>1</sub> is the duration of the initial grain-filling rate, <italic>T</italic>
<sub>2</sub> is the duration of the rapid grain-filling rate, <italic>T</italic>
<sub>3</sub> is the average grain-filling rate in the late grain-filling stage, <italic>v</italic>
<sub>1</sub> is the average grain-filling rate at the initial grain-filling stage, <italic>v</italic>
<sub>2</sub> is the average grain-filling rate of the rapid grain-filling stage, and <italic>v</italic>
<sub>3</sub> is the average grain-filling rate at the late grain-filling stage. The red arrows represent the explanatory variables, while the black arrows represent the grain-filling parameters. The length of the arrow indicates the magnitude of influence; the smaller the angle between the arrows, the stronger the positive correlation between them. Conversely, a larger angle represents a negative correlation. The angle between the arrows and the ordination axes indicates the correlation with the axes; a smaller angle indicates a stronger correlation, while a larger angle indicates a weaker correlation.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1374453-g005.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Relationships between grain-filling characteristics and year of release</title>
<p>To further demonstrate the relationship between wheat-filling parameters and year of release, RMLM was performed (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>). During the year of release, <italic>p</italic>, <italic>T</italic>
<sub>2</sub>, <italic>T</italic>
<sub>3</sub>, and <italic>v</italic>
<sub>1</sub> increased significantly, whereas <italic>T<sub>max</sub>
</italic> and <italic>T</italic>
<sub>1</sub> decreased significantly (<italic>p</italic> &lt; 0.05). However, there were no significant relationships between <italic>T</italic>
<sub>0.99</sub>, <italic>R<sub>max</sub>
</italic>, <italic>v<sub>mean</sub>
</italic>, <italic>v</italic>
<sub>2</sub>, and <italic>v</italic>
<sub>3</sub> and the year of release (<italic>p</italic> &gt; 0.05) (<xref ref-type="supplementary-material" rid="SF4">
<bold>Supplementary Table S2</bold>
</xref>). The results showed that the replacement of wheat cultivars in the Haihe Plain had an impact on grain-filling characteristics. Specifically, it has extended the active grain-filling period, particularly during the rapid filling stage, with durations of 5.7, 6.6, 7.1, 7.6, 7.7, 7.8, 8.2, and 8.0 days for the 1950s&#x2013;2020s, respectively, and the late grain-filling stage, with durations of 8.9, 13.3, 15.8, 16.9, 17.7, 18.1, 19.0, and 20.0 days for the 1950s&#x2013;2020s, respectively. Additionally, it has enhanced the average grain-filling rate, with values of 1.1, 1.0, 1.0, 1.1, 1.0, 1.0, 1.1, and 1.3 mg grain<sup>&#x2212;1</sup> d<sup>&#x2212;1</sup> for the 1950s&#x2013;2020s, respectively. However, it has also shortened the duration of the initial grain-filling stage, with durations of 15.5, 13.6, 13.1, 12.3, 11.6, 11.4, 10.5, and 9.5 days for the 1950s&#x2013;2020s, respectively.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>The relationships between winter wheat grain-filling parameters and year of release. The red solid lines represent significant relationships, whereas the dotted red lines represent non-significant relationships (<italic>p</italic> &lt; 0.05). The black dotted lines represent the 95% confidence interval. The green triangles represent the wheat grain filling data from the MZ Experimental Station during the 2021-2022 growing season, the green circles represent the wheat grain filling data from the ML Experimental Station during the 2021-2022 growing season, and the brown circles represent the wheat grain filling data from the ML Experimental Station during the 2022-2023 growing season. <bold>(A)</bold> The relationship between the effective duration of grain-filling (T<sub>0.99</sub>) and the year of release. <bold>(B)</bold> The relationship between the time to reach the maximum grain-filling rate (T<sub>max</sub>) and the year of release. <bold>(C)</bold> The relationship between the maximum grain-filling rate (R<sub>max</sub>) and the year of release. <bold>(D)</bold> The relationship between the active grain-filling period (p) and the year of release. <bold>(E)</bold> The relationship between the average grain-filling rate (V<sub>mean</sub>) and the year of release. <bold>(F)</bold> The relationship between the duration of the initial grain-filling rate (T<sub>1</sub>) and the year of release. <bold>(G)</bold> The relationship between the duration of the rapid grain-filling rate (T<sub>2</sub>) and the year of release. <bold>(H)</bold> The relationship between the duration of the average grain-filling rate in the late grain-filling stage (T<sub>3</sub>) and the year of release. <bold>(I)</bold> The relationship between the average grain-filling rate at the initial grain-filling stage (v<sub>1</sub>) and the year of release. <bold>(J)</bold> The relationship between the average grain-filling rate of the rapid grain-filling stage (v<sub>2</sub>) and the year of release. <bold>(K)</bold> The relationship between the average grain-filling rate at the late grain-filling stage (v<sub>3</sub>) and the year of release.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1374453-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Grain yield and its components during wheat cultivar replacement</title>
<p>Domestic and foreign studies have shown that grain yield gradually increases with the replacement of the wheat crop in general; however, conclusions regarding yield components have been inconsistent (<xref ref-type="bibr" rid="B64">Zhou et&#xa0;al., 2007b</xref>; <xref ref-type="bibr" rid="B18">Feng et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B40">Qin et&#xa0;al., 2018</xref>, <xref ref-type="bibr" rid="B39">2019</xref>; <xref ref-type="bibr" rid="B43">Sakuma and Schnurbusch, 2019</xref>). For foreign wheat cultivars, <xref ref-type="bibr" rid="B43">Sakuma and Schnurbusch (2019)</xref> showed that wheat yield was strongly influenced by changes in kernel number per spike; however, the effects of spike number and kernel weight were not significant. However, other studies have shown that a steady increase in the 1000-kernel weight and HI leads to a sustained increase in wheat yield and higher yield potential (<xref ref-type="bibr" rid="B27">Lo Valvo et&#xa0;al., 2018</xref>). Haihe Plain is located in northern China. In Northern China, <xref ref-type="bibr" rid="B18">Feng et&#xa0;al. (2018)</xref> reported that a significant increase in wheat yield was caused by an increase in kernel number per spike and kernel weight, although there was little change in spike number per unit area. <xref ref-type="bibr" rid="B63">Zhou et&#xa0;al. (2007a)</xref> also showed that there was a gradual increase in kernel weight during the replacement of wheat cultivars. <xref ref-type="bibr" rid="B38">Qin et&#xa0;al. (2015)</xref> showed that the replacement trends of wheat cultivars differed under different cultivation environments. Therefore, although previous studies have agreed that the replacement of wheat cultivars resulted in increased grain yield, differences in the timescales of studies and cultivation environments prevented consistent conclusions on the contribution of yield components to yield increases, but the increase in wheat yield in the Haihe Plain is closely related to kernel weight. This study demonstrated that both yield and grain weight increased significantly with the replacement of wheat cultivars. However, there are inconsistent conclusions regarding the reasons for the increase in yield during the process of cultivar replacement (<xref ref-type="bibr" rid="B64">Zhou et&#xa0;al., 2007b</xref>; <xref ref-type="bibr" rid="B18">Feng et&#xa0;al., 2018</xref>). In our study, the increase in kernel number was not significant, whereas kernel weight increased significantly during the cultivar replacement process. In contrast, <xref ref-type="bibr" rid="B37">Philipp et&#xa0;al. (2018)</xref> found that kernel number was the main reason for the increase in wheat yield. This discrepancy may be due to the different statistical methods used for measuring kernel number: the study used kernel number per square meter (<xref ref-type="bibr" rid="B19">Gonzalez-Navarro et&#xa0;al., 2016</xref>), while we measured kernel number per spike. Additionally, wheat cultivars have strong regional characteristics, which may also contribute to different reasons for yield increases during cultivar replacement in different areas. Given the significant increase in kernel weight observed in this study, it is necessary to further investigate the factors contributing to the increase in kernel weight during cultivar replacement.</p>
<p>Phenotype characteristics of wheat are influenced by both genetics and the environment; therefore, while wheat yield increased significantly with the year of release, there was also some influence of environmental factors, such as temperature, precipitation, and solar radiation, and soil factors such as topsoil thickness, soil water content, organic matter, nutrients, and trace elements in different ecological regions, differentially affecting the yield of the same wheat cultivar planted (<xref ref-type="bibr" rid="B32">Motzo and Giunta, 2004</xref>; <xref ref-type="bibr" rid="B26">Lobell et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B47">Subira et&#xa0;al., 2014</xref>). In the Haihe Plain, ML was located in the Heilonggang Plain zone, and MZ was located in the Piedmont plain of Mt. Taihang zone; the ecological conditions of the Piedmont plain for wheat planting were better than those of the Heilonggang Plain (<xref ref-type="bibr" rid="B56">Wu et&#xa0;al., 2023</xref>), which was further verified by comparison of soil characteristics in this study (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S5</bold>
</xref>). Combining the two wheat growing seasons, the variance decomposition results showed that the spike number was more affected by the experimental year, which was due to the environmental factors of frost damage in the second year, which reduced the spike number compared to the first year, whereas the kernel weight was more affected by the year of release.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Grain-filling characteristics as year of release</title>
<p>For the wheat crop in general, <xref ref-type="bibr" rid="B29">Madani et&#xa0;al. (2010)</xref> showed that with the year of release, the increase in kernel weight was due to an increase in sink activity in modern wheat cultivars. <xref ref-type="bibr" rid="B3">&#xc1;lvaro et&#xa0;al. (2008)</xref> found that the increase in the size of the sink in modern cultivars led to an increase in the capacity of the wheat stem to transport substances to the grain, thereby limiting the source capacity and lowering the kernel weight of early cultivars. Near the Haihe Plain, <xref ref-type="bibr" rid="B63">Zhou et&#xa0;al. (2007a)</xref> reported a significant increase in winter wheat yield caused by an increase in kernel weight. The mechanism was then established by <xref ref-type="bibr" rid="B49">Tian et&#xa0;al. (2011)</xref> who showed that the coordination of the source&#x2013;sink relationship and increased pre- and post-anthesis transport capacity were the main reasons for the steady increase in kernel weight. Therefore, the kernel weight of modern wheat cultivars has increased because of the coordination of the source&#x2013;sink relationship and the enhancement of sink activity in the Haihe Plain. In this study, the grain-filling rate gradually accelerated with the replacement of wheat cultivars in the Haihe Plain, which was consistent with previous studies. However, the grain-filling rate of wheat in the 1950s differed from that of other cultivars. It had a fast grain-filling rate but a short grain-filling duration, which may be attributed to the limitation of source capacity (<xref ref-type="bibr" rid="B45">Smith et&#xa0;al., 2018</xref>). Therefore, this study focused solely on sink activity and did not consider source capacity, which should be addressed in future research.</p>
<p>Furthermore, <xref ref-type="bibr" rid="B23">Khodarahmi et&#xa0;al. (2023)</xref> found that the average grain-filling rate increased gradually with the year of release; however, there was no significant association between grain-filling duration and the year of release. Other studies have also shown that the extension of grain-filling days is the main reason for higher kernel weights and yields of modern cultivars (<xref ref-type="bibr" rid="B55">Wiegand and Cuellar, 1981</xref>). For example, <xref ref-type="bibr" rid="B53">Wang and Shangguan (2015)</xref> showed that the key to increasing kernel weight is extending the duration of rapid and late grain-filling. The grain-filling rate in the rapid period was three times faster than that in the initial and late periods and, thus, had the greatest contribution to kernel weight (<xref ref-type="bibr" rid="B58">Xie et&#xa0;al., 2015</xref>). <xref ref-type="bibr" rid="B51">Wang et&#xa0;al. (2021)</xref> also showed that an increase in the grain-filling rate in the late period and a reduction in its fluctuation were key to increasing kernel weight, and the wheat grain-filling process is dominated by the regional ecological environment, especially temperature and light. Grain-filling characteristics vary depending on environmental conditions (<xref ref-type="bibr" rid="B31">Mirosavljevi&#x107; et&#xa0;al., 2018</xref>).</p>
<p>In the present study, with year of release, the duration of the initial grain-filling period became shorter whereas the filling rate increased, and the time to reach the maximum grain-filling rate advanced. Therefore, although the duration of the initial grain-filling stage of modern cultivars was shortened, the increase in filling rate resulted in an increase in kernel weight during the initial grain-filling stage. In addition, the significantly longer durations of the rapid and late grain-filling stages resulted in a longer active grain-filling period, which increased the kernel weight. This may be related to the fact that the North China Plain is often subjected to hot and dry winds, and the early cultivars are prone to early senescence in the middle and late filling stages (<xref ref-type="bibr" rid="B10">Cai et&#xa0;al., 2022</xref>). Furthermore, the Heilonggang Plain exhibited more rapid rates of grain-filling, including maximum and average rates, as well as during the rapid and late stages of grain-filling. In contrast, the Piedmont plain of Mount Taihang boasted longer durations for grain-filling periods, such as the effective grain-filling duration, the active grain-filling period, and the durations of both the rapid and late grain-filling stages. In addition, because of the lowest temperature of &#x2212;9.3&#xb0;C in the second year, which was close to the temperature of mild freezing damage (<xref ref-type="bibr" rid="B13">CMA, 2018</xref>), wheat suffered freezing damage, resulting in a shorter duration of filling period and active filling period in the second year. However, compared with the first year, the average and maximum filling rates increased. <xref ref-type="bibr" rid="B8">Beche et&#xa0;al. (2018)</xref> investigated the duration of developmental phases and eco-physiological traits related to grain yield in Brazilian wheat cultivars released across different decades, findings that suggest that longer durations in the growth and development stages can improve grain-filling characteristics and yield.</p>
<p>Kernel weight is one of the determinants of grain yield (<xref ref-type="bibr" rid="B35">Olmedo Pico et&#xa0;al., 2023</xref>). <xref ref-type="bibr" rid="B30">Maeoka et&#xa0;al. (2019)</xref> showed that the kernel weight of modern wheat cultivars increased by 27.28% and the spike number decreased by 14.83% compared with those of older cultivars. Similarly, <xref ref-type="bibr" rid="B63">Zhou et&#xa0;al. (2007a)</xref> showed that the kernel weight of modern cultivars in China increased by 49.31% and spike number decreased by 27.96% compared to those of earlier cultivars. <xref ref-type="bibr" rid="B61">Zheng et&#xa0;al. (2011)</xref> also showed that in the northern wheat region, the genetic gains for spike number, kernel number, and kernel weight were &#x2013;0.62%, 0.75%, and 0.96%, respectively. In this study, kernel weight of modern cultivars reached 53.9 mg for Malan1, which was 26.7% higher than that in 1950s cultivars, but the spike number decreased gradually with the year of release, while modern cultivars decreased more rapidly by 62.6% compared to the 1950s. <xref ref-type="bibr" rid="B42">Sadras and Slafer (2012)</xref> showed that the number of spikes per unit area and kernel number exhibited greater phenotypic plasticity. Therefore, in the future, more attention should be paid to spike traits and canopy architecture.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>The replacement of wheat cultivars in the Haihe Plain resulted in a significant increase in grain yield, in which the spike number decreased significantly and kernel weight increased significantly; however, there was no significant effect on kernel number. Additionally, with the release year, the duration of the initial grain-filling stage decreased, the rate increased, and the time to reach the maximum grain-filling rate advanced, whereas the kernel weight in the initial grain-filling stage increased. Moreover, owing to the extension of the duration of the rapid and late grain-filling stages, the active filling period was also significantly extended, which ultimately led to a larger kernel weight in modern cultivars. However, because of the large plasticity of spike and kernel numbers, they are also more sensitive to the environment than kernel weight, and their roles need to be emphasized in the selection of wheat cultivars, improvement of cultivation practices, and prevention of environmental disasters in the future.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<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">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>XZ: Investigation, Project administration, Writing &#x2013; original draft. XL: Methodology, Software, Writing &#x2013; original draft. LW: Investigation, Writing &#x2013; original draft. QZ: Investigation, Writing &#x2013; original draft. YY: Investigation, Writing &#x2013; original draft. RD: Investigation, Writing &#x2013; original draft. YX: Visualization, Writing &#x2013; original draft. YW: Conceptualization, Formal analysis, Funding acquisition, Visualization, Writing &#x2013; review &amp; editing. WZ: Conceptualization, Funding acquisition, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was funded by the Modern Agricultural Industrial Technology System of Hebei Province (HBCT2023010202) and the State Key Laboratory of North China Crop Improvement and Regulation (NCCIR2022ZZ-11).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<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 id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11" sec-type="supplementary-material">
<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/fpls.2024.1374453/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2024.1374453/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Image_1.tif" id="SF1" mimetype="image/tiff">
<label>Supplementary Figure&#xa0;1</label>
<caption>
<p>Daily distribution of precipitation and temperature during the winter wheat growing seasons in 2021&#x2013;2023.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_2.tif" id="SF2" mimetype="image/tiff">
<label>Supplementary Figure&#xa0;2</label>
<caption>
<p>Fitted (lines) grain dry matter accumulation <bold>(A)</bold> and simulated grain-filling rate <bold>(B)</bold> in winter wheat under different years of release.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_1.doc" id="SF3" mimetype="application/msword">
<label>Supplementary Table&#xa0;1</label>
<caption>
<p>The results of linear mixed effects model of grain-filling characteristics. &#x3c4;00: Founder parent; &#x3c4;00: Founder parent: Cultivars; &#x3c4;11: Cultivars; &#x3c3;2: residuals; &#x3c4;00: Founder parent: Cultivars; &#x3c4;11: Cultivars; ICC: intraclass correlation coefficient; N1: number of random effects; N2: number of founder parent.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_2.doc" id="SF4" mimetype="application/msword">
<label>Supplementary Table&#xa0;2</label>
<caption>
<p>Fitted parameters of the logistic growth function for grain weight during the filling period for different cultivars of winter wheat in ML and MZ and anthesis dates of different wheat cultivars.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_3.doc" id="SF5" mimetype="application/msword">
<label>Supplementary Table&#xa0;3</label>
<caption>
<p>Grain-filling parameters for different winter wheat cultivars in ML and MZ. <italic>T</italic>
<sub>0.99</sub> is the effective duration of the grain-filling, <italic>T<sub>max</sub>
</italic> is the time to reach the maximum grain-filling rate, <italic>R<sub>max</sub>
</italic> is the maximum grain-filling rate, <italic>p</italic> is the active grain-filling period, and <italic>V<sub>mean</sub>
</italic> is the average grain-filling rate.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_4.doc" id="SF6" mimetype="application/msword">
<label>Supplementary Table&#xa0;4</label>
<caption>
<p>The RDA ordination summary and first two ordination axes to quantitatively identify the relationships between winter wheat grain-filling characteristics with planting location and year of release and between grain yield and kernel weight with grain-filling characteristics.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_5.doc" id="SM1" mimetype="application/msword">
<label>Supplementary Table&#xa0;5</label>
<caption>
<p>The soil characteristics of the experimental stations in the 0- to 20-cm soil layer.</p>
</caption>
</supplementary-material>
</sec>
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