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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.2022.1065766</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>Genome-wide detection of genotype environment interactions for flowering time in <italic>Brassica napus</italic>
</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Han</surname>
<given-names>Xu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1494301"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tang</surname>
<given-names>Qingqing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2045893"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Liping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Guan</surname>
<given-names>Zhilin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tu</surname>
<given-names>Jinxing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/452323"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yi</surname>
<given-names>Bin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/343077"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Kede</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/585498"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yao</surname>
<given-names>Xuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1451612"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lu</surname>
<given-names>Shaoping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/853729"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Guo</surname>
<given-names>Liang</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="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/822741"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Key Laboratory of Crop Genetic Improvement, Huazhong Agricultural University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Hubei Hongshan Laboratory</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Zhenyu Jia, University of California, Riverside, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Ling Qiao, Shanxi Agricultural University, China; Yang-Jun Wen, Nanjing Agricultural University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Liang Guo, <email xlink:href="mailto:guoliang@mail.hzau.edu.cn">guoliang@mail.hzau.edu.cn</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Technical Advances in Plant Science, a section of the journal Frontiers in Plant Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>11</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>1065766</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>10</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Han, Tang, Xu, Guan, Tu, Yi, Liu, Yao, Lu and Guo</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Han, Tang, Xu, Guan, Tu, Yi, Liu, Yao, Lu and Guo</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>Flowering time is strongly related to the environment, while the genotype-by-environment interaction study for flowering time is lacking in <italic>Brassica napus</italic>. Here, a total of 11,700,689 single nucleotide polymorphisms in 490 <italic>B. napus</italic> accessions were used to associate with the flowering time and related climatic index in eight environments using a compressed variance-component mixed model, 3VmrMLM. As a result, 19 stable main-effect quantitative trait nucleotides (QTNs) and 32 QTN-by-environment interactions (QEIs) for flowering time were detected. Four windows of daily average temperature and precipitation were found to be climatic factors highly correlated with flowering time. Ten main-effect QTNs were found to be associated with these flowering-time-related climatic indexes. Using differentially expressed gene (DEG) analysis in semi-winter and spring oilseed rapes, 5,850 and 5,511 DEGs were found to be significantly expressed before and after vernalization. Twelve and 14 DEGs, including 7 and 9 known homologs in <italic>Arabidopsis</italic>, were found to be candidate genes for stable QTNs and QEIs for flowering time, respectively. Five DEGs were found to be candidate genes for main-effect QTNs for flowering-time-related climatic index. These candidate genes, such as <italic>BnaFLC</italic>s, <italic>BnaFT</italic>s, <italic>BnaA02.VIN3</italic>, and <italic>BnaC09.PRR7</italic>, were further validated by the haplotype, selective sweep, and co-expression networks analysis. The candidate genes identified in this study will be helpful to breed <italic>B. napus</italic> varieties adapted to particular environments with optimized flowering time.</p>
</abstract>
<kwd-group>
<kwd>
<italic>Brassica napus</italic>
</kwd>
<kwd>flowering time</kwd>
<kwd>QTN-by-environment interactions</kwd>
<kwd>multiple genome-wide association studies</kwd>
<kwd>differentially expressed gene</kwd>
<kwd>climatic index</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="2"/>
<equation-count count="2"/>
<ref-count count="67"/>
<page-count count="14"/>
<word-count count="6091"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>As the world&#x2019;s most important oilseed crop, planting of <italic>Brassica napus</italic> spans a wide range of growth periods and climate zones (<xref ref-type="bibr" rid="B59">Yang et&#xa0;al., 2014</xref>). To meet the needs of adaptation, <italic>B</italic>. <italic>napus</italic> adjusts the correct time to flower. Flowering time determines the transition from the vegetative to the reproductive phase, and therefore, the nutrients are available for remobilization at seed filling (<xref ref-type="bibr" rid="B18">Han et&#xa0;al., 2021</xref>). Early flowering facilitates mechanical harvesting and rotation with other crops, whereas late flowering enhances stem development, thus improving lodging resistance (<xref ref-type="bibr" rid="B13">Cui et&#xa0;al., 2021</xref>). Although previous studies have revealed the genetic basis of flowering time in <italic>B</italic>. <italic>napus</italic>, no studies have been reported on the genetic dissection of flowering time plasticity, namely, genotype-by-environment interaction (G by E).</p>
<p>The genetic basis of flowering time has been well-studied in the model plant <italic>Arabidopsis thaliana</italic> (<xref ref-type="bibr" rid="B37">Mouradov et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B41">Putterill et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B7">Bouch&#xe9; et&#xa0;al., 2016</xref>). The genetic networks underlying flowering consist of six major pathways interconnected, namely, photoperiod, vernalization, gibberellin, autonomous, thermal clock, and aging pathways (<xref ref-type="bibr" rid="B41">Putterill et&#xa0;al., 2004</xref>). Epigenetic regulation, miRNAs, phytohormones, sugar status, and signaling also play important roles in flowering time control (<xref ref-type="bibr" rid="B7">Bouch&#xe9; et&#xa0;al., 2016</xref>). In <italic>B. napus</italic>, the polyploid nature of <italic>B. napus</italic> has resulted in flowering-time-related genes undergoing extensive subfunctionalization (<xref ref-type="bibr" rid="B43">Schiessl, 2020</xref>). It has been demonstrated that there is a sophisticated network of interactions among <italic>FLOWERING LOCUS C</italic> homologs with different expression patterns in organs and development stages (<xref ref-type="bibr" rid="B67">Zou et&#xa0;al., 2012</xref>). <italic>LOWERING LOCUS T</italic> and <italic>TERMINAL FLOWER 1</italic> were found to have pleiotropic effects on flowering time, despite their redundancy in <italic>B. napus</italic> genome (<xref ref-type="bibr" rid="B16">Guo et&#xa0;al., 2014</xref>). Therefore, it demands more genetic basis research on flowering time in <italic>B</italic>. <italic>napus</italic>.</p>
<p>Flowering time is strongly influenced by the environment. A decrease in day length delays flowering in <italic>B</italic>. <italic>napus</italic>. A period of cooler temperature will determine vernalization and ensure reproductive development (<xref ref-type="bibr" rid="B36">Matar et&#xa0;al., 2021</xref>). Precipitation has been reported to have different effects on flowering phenology in different species (<xref ref-type="bibr" rid="B64">Zhang et&#xa0;al., 2018</xref>). Many genes have been reported to influence flowering time in response to the environment. <italic>FLOWERING LOCUS T</italic> (FT) was found to induce flowering through long-distance signaling by activating seasonal changes in day length (<xref ref-type="bibr" rid="B11">Corbesier et&#xa0;al., 2007</xref>). The epigenetic silencing of <italic>FLC</italic> accelerates flowering by prolonged cold vernalization (<xref ref-type="bibr" rid="B5">Bastow et&#xa0;al., 2004</xref>). H2A.Z incorporates <italic>BraA.FT.a</italic> chromatin at high ambient temperature and delays flowering time in <italic>B. rapa</italic> (<xref ref-type="bibr" rid="B14">Del Olmo et&#xa0;al., 2019</xref>). In <italic>B. napus</italic>, <italic>Cycling Dof Factor1</italic> delays the flowering time and was induced in response to low temperature (<xref ref-type="bibr" rid="B57">Xu and Dai, 2016</xref>). <italic>BnNAC485</italic> altered flowering time in response to abiotic stress (<xref ref-type="bibr" rid="B60">Ying et&#xa0;al., 2014</xref>). However, <italic>B. napus</italic> has developed two eco-types in China, namely, semi-winter oilseed rapes (SWORs) and spring oilseed rapes (SORs), to adapt different geographical environments and climates, leading to more complex molecular mechanisms of flowering time (<xref ref-type="bibr" rid="B49">Song et&#xa0;al., 2020</xref>).</p>
<p>In response to climate change, G by E is of fundamental importance in plant breeding and adaptation (<xref ref-type="bibr" rid="B3">Arnold et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B65">Zhao et&#xa0;al., 2022</xref>). In <italic>B. napus</italic>, the G by E of seed yield and oil content were found to exert specific adaptation to climates (<xref ref-type="bibr" rid="B62">Zhang et&#xa0;al., 2013a</xref>). Genotype and temperature interactions of seed oil content were found to be differential at the level of gene expression profiles (<xref ref-type="bibr" rid="B66">Zhu et&#xa0;al., 2012</xref>). Moreover, quantitative and population genetics have shown great power to bridge the gap between genomic diversity and phenotypic plasticity (<xref ref-type="bibr" rid="B56">Wu, 1998</xref>; <xref ref-type="bibr" rid="B24">Kusmec et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B33">Liu et&#xa0;al., 2021</xref>). For G by E studies on flowering time, four environmentally sensitive quantitative trait loci for flowering time identified in 473 <italic>Arabidopsis</italic> accessions were found to be related to adaptation (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2010</xref>). It has been found that interacting flowering-time-related genes differentially respond to the temperature at the early growth stage in rice (<xref ref-type="bibr" rid="B17">Guo et&#xa0;al., 2020</xref>). Quantitative trait nucleotide (QTN)-by-environment interaction (QEI) mapping for flowering time has been performed in a doubled haploid <italic>B. napus</italic> population (<xref ref-type="bibr" rid="B47">Shen et&#xa0;al., 2018</xref>). Although many genome-wide association studies (GWAS) for flowering time have been reported in <italic>B</italic>. <italic>napus</italic> (<xref ref-type="bibr" rid="B58">Xu et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B49">Song et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B19">Helal et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B20">Hu et&#xa0;al., 2022</xref>), knowledge about QEI for flowering time detected by GWAS is scarce.</p>
<p>Recently, the newly published method 3VmrMLM provides a solution for QEI detection in GWAS (<xref ref-type="bibr" rid="B28">Li et&#xa0;al., 2022a</xref>). Here, we investigated the landscape of flowering time plasticity of 490 <italic>B. napus</italic> accessions in eight environments. A total of 11,700,689 single nucleotide polymorphisms (SNPs) were used to detect main-effect QTNs for flowering time and related climatic index and QEIs for flowering time. The transcriptome of SWORs and SORs before and after vernalization was used to identify the candidate genes around QTNs and QEIs. Co-expression, haplotype, and selection sweep analysis were used to further validate the candidate flowering time genes in specific eco-oilseed rapes. Our finding will facilitate the breeding for adaptation to particular environments with optimized flowering time in <italic>B. napus</italic>.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Germplasm, phenotypic, and genomic data</title>
<p>A diversity panel of 490 <italic>B. napus</italic> accessions collected from <xref ref-type="bibr" rid="B58">Xu et&#xa0;al. (2016)</xref> was used in this study. This panel was cultivated in eight natural environments, i.e., Wuhan 2013 and 2014 (WH2013 and WH2014), Changsha 2013 and 2014 (CS2013 and CS2014), Nanjing 2013 and 2014 (NJ2013 and NJ2014), Ezhou 2013 (EZ2013), and Chongqing 2013 (CQ2013). Additionally, the Gangan and ZS11 cultivars for RNA-seq were planted in Wuhan 2018 at the experimental stations of Huazhong Agricultural University. The design of field trial of the above materials and the acquisition of phenotypic data were the same as those used in the previous study (<xref ref-type="bibr" rid="B58">Xu et&#xa0;al., 2016</xref>). The re-sequencing genome data were obtained from <xref ref-type="bibr" rid="B52">Tang et&#xa0;al. (2021)</xref>. The <italic>B</italic>. <italic>napus</italic> genome (<italic>B. napus</italic> ZS11 v0) from BnPIR (<xref ref-type="bibr" rid="B49">Song et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B50">Song et&#xa0;al., 2021</xref>) (<uri xlink:href="http://cbi.hzau.edu.cn/bnapus/index.php">http://cbi.hzau.edu.cn/bnapus/index.php</uri>) was used as the reference genome.</p>
</sec>
<sec id="s2_2">
<title>Statistical analysis for phenotypic data</title>
<p>By using the &#x201c;lme4&#x201d; R package (<xref ref-type="bibr" rid="B6">Bates et&#xa0;al., 2015</xref>), the best linear unbiased prediction (BLUP) model was fitted to each <italic>B. napus</italic> accession:</p> <disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>Phenotype&#xa0;~&#xa0;(1|Accession)&#xa0;+&#xa0;(1|Environment)</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>    <p>Taking into account the variations between eight environments as phenotypic variance derived from environmental factors, broad-sense heritability (<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mi>B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) was estimated using the following equation by treating populations as a random effect and the environments as an environment effect, where <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>  and <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the variance derived from genetic and environmental effects, respectively (<xref ref-type="bibr" rid="B23">Knapp et&#xa0;al., 1985</xref>).</p>
<disp-formula>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mi>B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3">
<title>Identification of flowering-time-related climatic index</title>
<p>Climatic data for daily average temperature (TAVG, &#xb0;F) and precipitation (PRCP, in) were retrieved from the National Oceanic and Atmospheric Administration (<uri xlink:href="https://www.noaa.gov/weather">https://www.noaa.gov/weather</uri>). Due to the lack of climatic data for Ezhou, there were climatic datasets of seven environments in total, i.e., WH2013 and WH2014 (114.05&#xb0;E, 30.60&#xb0;N; Station ID: GHCND: CHM00057494), CS2013 and CS2014 (112.87&#xb0;E, 28.23&#xb0;N; GHCND: CHM00057687), NJ2013 and NJ2014 (118.90&#xb0;E, 31.93&#xb0;N; GHCND: CHM00058238), and CQ2013 (106.48&#xb0;E, 29.58&#xb0;N; GHCND: CHM00057516). Climatic data were obtained from the day after being planted to the 200 days after planting (DAP). For each window from a starting day (3 DAP) to an end day (41 DAP) during <italic>B</italic>. <italic>napus</italic> growth, the average value of the climatic index and their correlation with the environmental mean vector for flowering time was calculated by CERIS analytical package (<xref ref-type="bibr" rid="B26">Li et&#xa0;al., 2021</xref>; <uri xlink:href="https://github.com/jmyu/CERIS_JGRA">https://github.com/jmyu/CERIS_JGRA</uri>). The most relevant climatic index for flowering time was chosen according to the highest correlation between environmental means and climatic index with corresponding window. Reaction norms were calculated as described in <xref ref-type="bibr" rid="B17">Guo et&#xa0;al. (2020)</xref> and <xref ref-type="bibr" rid="B32">Liu et&#xa0;al. (2020)</xref>, using environmental mean and environmental climatic index as x-axis and phenotype as y-axis. Each line represented an individual and was shown by fitted linear regression. The intercept and slope were used to perform GWAS further.</p>
</sec>
<sec id="s2_4">
<title>Detecting QTNs and QEIs by GWAS</title>
<p>The intersection of the accessions in phenotypic and genotypic datasets, i.e., 490 accessions with 11,700,689 SNPs, were used for GWAS using 3VmrMLM (<xref ref-type="bibr" rid="B28">Li et&#xa0;al., 2022a</xref>) <italic>via</italic> software IIIVmrMLM (<xref ref-type="bibr" rid="B29">Li et&#xa0;al., 2022b</xref>). Flowering time QTNs were obtained from separate analyses of phenotypic data from eight environments and joint environmental analyses of these datasets. The reaction norms between flowering time and climatic index were also used to conduct GWAS by 3VmrMLM. QEIs for flowering time were obtained by joint environment analyses of the above phenotypic datasets in eight environments. Population structure and kinship matrix were considered in 3VmrMLM analysis, and the &#x201c;svpal&#x201d; parameter was set as 0.01. According to <xref ref-type="bibr" rid="B52">Tang et&#xa0;al. (2021)</xref>, the population structure calculated as <italic>K</italic>=3 was used in the analysis. The threshold was set at 0.05/<italic>m</italic> for significant QTNs and QEIs and LOD score &#x2265; 3.0 for suggested QTNs and QEIs, where <italic>m</italic> is the number of markers (<xref ref-type="bibr" rid="B28">Li et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B29">Li et&#xa0;al., 2022b</xref>). According to the LD interval estimated by <xref ref-type="bibr" rid="B52">Tang et&#xa0;al. (2021)</xref>, stable QTNs were defined as QTNs identified in at least three environments within the 100-kb upstream and downstream regions.</p>
</sec>
<sec id="s2_5">
<title>Identification of candidate genes</title>
<p>To identify candidate genes for flowering-time-related QTNs and QEIs, genes within the 100 kb upstream and downstream regions of each QTN or QEI were extracted according to the LD interval estimated by <xref ref-type="bibr" rid="B52">Tang et&#xa0;al. (2021)</xref>. Then, two strategies were employed. First, the <italic>B. napus</italic> homologs of <italic>Arabidopsis</italic> flowering time genes downloaded from FLOR-ID (<uri xlink:href="http://www.flor-id.org">http://www.flor-id.org</uri>) were selected and considered as known genes. Second, new candidate genes were identified using differentially expressed genes (DEGs) in two SWORs (Gangan and ZS11) before and after vernalization and in two SORs (Westar and No. 2127). The <italic>t</italic>-test was adopted in the hypothesis testing for haplotype analysis; <italic>p</italic>&lt; 0.05, <italic>p</italic>&lt; 0.01, and <italic>p</italic>&lt; 0.001 indicated the significances at 0.05, 0.01, and 0.001 probability levels, respectively.</p>
</sec>
<sec id="s2_6">
<title>Differential expression analysis based on RNA-seq</title>
<p>The leaves of Westar, No. 2127, Gangan, ZS11 at 24 and 147 DAP were collected for RNA-seq with two biological replicates. Total RNA was extracted using the TIANGEN RNAprep Pure Plant Kit. Sequencing libraries were generated using the NEBNext<sup>&#xae;</sup> UltraTM RNA Library Prep Kit for Illumina<sup>&#xae;</sup> (NEB, USA) and were sequenced on an Illumina Hiseq 4000 platform. The detailed processes were described in <xref ref-type="bibr" rid="B53">Tan et&#xa0;al. (2022)</xref>. We used MultiQC (<xref ref-type="bibr" rid="B15">Ewels et&#xa0;al., 2016</xref>) to perform quality control and Salmon (<xref ref-type="bibr" rid="B40">Patro et&#xa0;al., 2017</xref>) to quantify the RNA-seq reads of annotated genes in the reference ZS11. DESeq2 was used for differential expression analysis (<xref ref-type="bibr" rid="B35">Love et&#xa0;al., 2014</xref>). The threshold for DEG is set as the absolute value of log<sub>2</sub>FoldChange &gt;1 and adjusted <italic>p&lt;</italic> 0.05 (two-tailed Student&#x2019;s <italic>t</italic>-test; <xref ref-type="bibr" rid="B53">Tan et&#xa0;al., 2022</xref>).</p>
</sec>
<sec id="s2_7">
<title>Identification of selective sweep signals</title>
<p>To detect the regions under selective sweeps between SWOR and SOR, XP-CLR (v1.1.1), a genome scan using the composite likelihood approach was performed in sub-populations (<xref ref-type="bibr" rid="B10">Chen et&#xa0;al., 2010</xref>). Each chromosome was analyzed using the XP-CLR command with the parameters &#x201c;&#x2013;ld 0.99 &#x2013;phased &#x2013;maxsnps 200 &#x2013;size 100000 &#x2013;step 10000.&#x201d; Non-overlapping 20-kp windows within the top 20% XP-CLR scores were merged into one single region, and then, these regions in the top 1% of XP-CLR scores were considered as candidate selective regions (<xref ref-type="bibr" rid="B2">An et&#xa0;al., 2019</xref>).</p>
</sec>
<sec id="s2_8">
<title>Construction of co-expression network</title>
<p>According to the above RNA-seq datasets, Pearson correlation analysis was calculated between candidate genes and DEGs in SWORs and SORs, respectively. Significant genes were considered to be co-expressed when Pearson correlation coefficient was &gt;0.80 and <italic>p</italic>-value was&lt;0.05. Network visualization was implemented with the Cytoscape package (<xref ref-type="bibr" rid="B45">Shannon et&#xa0;al., 2003</xref>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Flowering time plasticity and related climatic index for <italic>B. napus</italic>
</title>
<p>Complex flowering time variation was observed in diversity group of 490 <italic>B. napus</italic> oilseed rapes, including 49 SORs, 20 winter oilseed rapes, 326 SWORs, and 95 mixed type oilseed rapes, grown in eight natural environments (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S1</bold>
</xref>). The means plus standard deviations of the eight environments WH2013, WH2014, CS2013, CS2014, NJ2013, NJ2014, CQ2013, EZ2013, and BLUP values were 155.49 &#xb1; 3.80, 153.56 &#xb1; 9.61, 160.27 &#xb1; 4.29, 166.55 &#xb1; 5.44, 160.50 &#xb1; 5.49, 167.55 &#xb1; 6.38, 151.31 &#xb1; 7.82, 162.57 &#xb1; 5.30, and 159.68 &#xb1; 4.83 (DAP), respectively (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>). The correlation of each pair of environments ranged from 0.37 to 0.72 (0.50 &#xb1; 0.09). The coefficients of variation, skewness, and kurtosis of the trait in eight environments illustrated that flowering time is a typical quantitative trait (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S2</bold>
</xref>). The broad-sense heritability for flowering time is 0.86. More importantly, joint regression analysis modeled with environmental mean showed the presence of a significant phenotypic plasticity (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1C</bold>
</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Plasticity of flowering and reaction norm of its associated window to daily average temperature (TAVG). <bold>(A, B)</bold> Characteristics and pairwise correlations of flowering time of 490 <italic>B napus</italic> in eight environments. WH2013, Wuhan in 2013; WH2014, Wuhan in 2014; CS2013, Changsha in 2013; CS2014, Changsha in 2014; NJ2013, Nanjing in 2013; NJ2014, Nanjing in 2014; CQ2013, Chongqing in 2013; EZ2013, Ezhou in 2013; BLUP, the best linear unbiased prediction value. <bold>(C)</bold> Reaction norm for flowering time based on a numerical order of environmental mean. Dots are the observed flowering time phenotypic values. The line with black color represents the ZS11 cultivar. The color of the line represents the value of the slope. <bold>(D)</bold> Search for the window to TAVG, which is highly correlated with environmental mean of flowering time (from planting to 200 days after planting, DAP). TAVG within the window of 10&#x2013;19 and 135&#x2013;144 DAP was chosen and denoted as TAVG<sub>10&#x2013;19</sub> and TAVG<sub>135&#x2013;144</sub>. <bold>(E, F)</bold> Significant correlation and reaction norm between TAVG<sub>135&#x2013;144</sub> and environmental mean of flowering time.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-13-1065766-g001.tif"/>
</fig>
<p>Climate change is altering the environment in which all plants grow. To understand the effect of climatic index on flowering time plasticity, the correlation between environmental means and climatic index (TAVG and PRCP) for different growth windows was predicted by CERIS (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S3</bold>
</xref>). The results of the correlation pattern between TAVG and flowering time showed a positive correlation at early seedling stage and a negative trend after bolting stage, while the pattern of PRCP was exactly opposite (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1A</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S4</bold>
</xref>). The windows with the highest negative (TAVG<sub>135&#x2013;144</sub> and PRCP<sub>3&#x2013;41</sub>) and positive correlations (TAVG<sub>10&#x2013;19</sub> and PRCP<sub>133&#x2013;169</sub>) were chosen as the most related climatic index for further analysis (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1E</bold>
</xref>
<xref ref-type="fig" rid="f1">
<bold>, F</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S2A</bold>
</xref>
<xref ref-type="supplementary-material" rid="SM1">
<bold>&#x2013;F</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S4</bold>
</xref>). TAVG<sub>135&#x2013;144</sub> (r = &#x2212;0.986) showed higher correlation with flowering time than PRCP<sub>3&#x2013;41</sub> (r = &#x2212;0.809). TAVG<sub>10&#x2013;19</sub> (r = 0.922) showed higher correlation with flowering time than PRCP<sub>133&#x2013;169</sub> (r = 0.901). It is noted that these windows are surrounded by other windows with slightly decreasing correlation values (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>).</p>
</sec>
<sec id="s3_2">
<title>Detection of QTNs for flowering time</title>
<p>To detect QTNs for flowering time, the phenotypes in each of the eight environments were used to associate with 11,700,689 SNPs using 3VmrMLM under population structure and polygenic background control. As a result, 55, 57, 42, 49, 54, 50, 44, and 43 significant QTNs at the critical <italic>p</italic>-value of 4.27e&#x2212;09 (=0.05/<italic>m</italic>, where <italic>m</italic> is the number of markers) and 10, 5, 14, 10, 8, 13, 13, and 13 suggested QTNs (with the LOD score &#x2265; 3.0 but the <italic>p</italic> &gt; 0.05/<italic>m</italic>) were identified for WH2013, WH2014, CS2013, CS2014, NJ2013, NJ2014, CQ2013, and EZ2013, respectively (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S5</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S3</bold>
</xref>). In addition, flowering phenotypes from eight environments were used to perform joint analysis by 3VmrMLM. Sixty-eight significant and 11 suggested QTNs were identified. Based on the above QTNs in single and multiple environments analyses, 19 stable QTNs were identified in at least three environments (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Manhattan plots for flowering time of 490 <italic>B napus</italic> accessions. <bold>(A)</bold> Nineteen stable main-effect QTNs and their candidate genes for flowering time in eight single environment analyses and multiple environments joint analysis. <bold>(B)</bold> QTN-by-environment interactions (QEIs) and their candidate genes for flowering time in multiple environments joint analysis. <bold>(C)</bold> Ten main-effect QTNs for slope and intercept of reaction norm for flowering-time-related climatic indexes. <bold>(D)</bold> Additive-by-environment interaction effects of 32 QEIs in eight environments. The size of dot: absolute value of additive-by-environment interaction effect. Red/blue dot: positive/blue value. WH2013, Wuhan in 2013; WH2014, Wuhan in 2014; CS2013, Changsha in 2013; CS2014, Changsha in 2014; NJ2013, Nanjing in 2013; NJ2014, Nanjing in 2014; CQ2013, Chongqing in 2013; EZ2013, Ezhou in 2013.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-13-1065766-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Nineteen stable QTNs for <italic>B. napus</italic> flowering time and their candidate genes.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" colspan="6" align="left">Genome-wide association studies</th>
<th valign="top" colspan="4" align="center">Comparative genomics analysis</th>
</tr>
<tr>
<th valign="top" align="left">Chr</th>
<th valign="top" align="center">Pos (bp)</th>
<th valign="top" align="center">Marker</th>
<th valign="top" align="center">LOD</th>
<th valign="top" align="center">
<italic>R</italic>
<sup>2</sup>
</th>
<th valign="top" align="center">Environments<xref ref-type="table-fn" rid="fnT1_1">
<sup>a</sup>
</xref>
</th>
<th valign="top" align="center">Gene ID</th>
<th valign="top" align="center">Abbr.</th>
<th valign="top" align="center">Function</th>
<th valign="top" align="center">Reference</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">A10</td>
<td valign="top" align="center">24056113&#x2013;24056153</td>
<td valign="top" align="center">
<italic>BnvaA1024056153, BnvaA1024056113, BnvaA1024056139</italic>
</td>
<td valign="top" align="center">39.96&#x2013;117.88</td>
<td valign="top" align="center">0.49&#x2013;2.10</td>
<td valign="top" align="center">E1, E3, E4, E5, E6, E7, E9</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C08</td>
<td valign="top" align="center">912878</td>
<td valign="top" align="center">
<italic>BnvaC0800912878</italic>
</td>
<td valign="top" align="center">7.94&#x2013;82.49</td>
<td valign="top" align="center">0.53&#x2013;2.42</td>
<td valign="top" align="center">E1, E3, E4, E5, E6, E7, E8</td>
<td valign="top" align="left">
<italic>BnaC08G0010300ZS</italic>
</td>
<td valign="top" align="left">
<italic>CRY2</italic>
</td>
<td valign="top" align="left">Cryptochrome-2</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B46">Sharma et&#xa0;al., 2022</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">C05</td>
<td valign="top" align="center">1376324</td>
<td valign="top" align="center">
<italic>BnvaC0501376324</italic>
</td>
<td valign="top" align="center">13.31&#x2013;36.7</td>
<td valign="top" align="center">0.12&#x2013;0.81</td>
<td valign="top" align="center">E1, E2, E6, E7, E9</td>
<td valign="top" align="left">
<italic>BnaC05G0024000ZS</italic>
</td>
<td valign="top" align="left">
<italic>GBF4</italic>
</td>
<td valign="top" align="left">G-BOX BINDING FACTOR 4</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A09</td>
<td valign="top" align="center">56413085&#x2013;56417605</td>
<td valign="top" align="center">
<italic>BnvaA0956413085, BnvaA0956414961, BnvaA0956417605</italic>
</td>
<td valign="top" align="center">22.79&#x2013;39.42</td>
<td valign="top" align="center">0.14&#x2013;1.43</td>
<td valign="top" align="center">E1, E2, E9, E7</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A10</td>
<td valign="top" align="center">23668965&#x2013;23770033</td>
<td valign="top" align="center">
<italic>BnvaA1023770033, BnvaA1023668965</italic>
</td>
<td valign="top" align="center">23.22&#x2013;84.79</td>
<td valign="top" align="center">0.11&#x2013;2.11</td>
<td valign="top" align="center">E1, E2, E4, E8</td>
<td valign="top" align="left">
<italic>BnaA10G0244800ZS</italic>
</td>
<td valign="top" align="left">
<italic>FLC</italic>
</td>
<td valign="top" align="left">MADS-box protein FLOWERING LOCUS C</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B51">Tadege et&#xa0;al., 2001</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">A02</td>
<td valign="top" align="center">9020851&#x2013;9105883</td>
<td valign="top" align="center">
<italic>BnvaA0209020851, BnvaA0209054089, BnvaA0209105883</italic>
</td>
<td valign="top" align="center">9.42&#x2013;24.67</td>
<td valign="top" align="center">0.08&#x2013;1.45</td>
<td valign="top" align="center">E1, E2, E3, E9</td>
<td valign="top" align="left">
<italic>BnaA02G0156900ZS</italic>
</td>
<td valign="top" align="left">
<italic>FT</italic>
</td>
<td valign="top" align="left">Protein FLOWERING LOCUS T</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2009</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">C02</td>
<td valign="top" align="center">2400090&#x2013;2502621</td>
<td valign="top" align="center">
<italic>BnvaC0202402020, BnvaC0202400090, BnvaC0202502621, BnvaC0202402023</italic>
</td>
<td valign="top" align="center">8.82&#x2013;29.63</td>
<td valign="top" align="center">0.30&#x2013;1.47</td>
<td valign="top" align="center">E3, E5, E6, E7</td>
<td valign="top" align="left">
<italic>BnaC02G0039100ZS</italic>
</td>
<td valign="top" align="left">
<italic>FLC</italic>
</td>
<td valign="top" align="left">MADS-box protein FLOWERING LOCUS C</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B51">Tadege et&#xa0;al., 2001</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">C07</td>
<td valign="top" align="center">55454986&#x2013;55455005</td>
<td valign="top" align="center">
<italic>BnvaC0755455005, BnvaC0755454986</italic>
</td>
<td valign="top" align="center">30.53&#x2013;43.11</td>
<td valign="top" align="center">0.14&#x2013;0.67</td>
<td valign="top" align="center">E1, E4, E5</td>
<td valign="top" align="left">
<italic>BnaC07G0458500ZS</italic>
</td>
<td valign="top" align="left">
<italic>AGL24</italic>
</td>
<td valign="top" align="left">MADS-box protein AGL24</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B61">Yu et&#xa0;al., 2002</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">C02</td>
<td valign="top" align="center">1592445</td>
<td valign="top" align="center">
<italic>BnvaC0201592445</italic>
</td>
<td valign="top" align="center">47.10&#x2013;59.13</td>
<td valign="top" align="center">0.19&#x2013;1.06</td>
<td valign="top" align="center">E1, E9</td>
<td valign="top" align="left">
<italic>BnaC02G0022200ZS</italic>
</td>
<td valign="top" align="left">
<italic>FPGS1</italic>
</td>
<td valign="top" align="left">Folylpolyglutamate synthase</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A01</td>
<td valign="top" align="center">8566494&#x2013;8643230</td>
<td valign="top" align="center">
<italic>BnvaA0108643230, BnvaA0108602009, BnvaA0108566494</italic>
</td>
<td valign="top" align="center">13.70&#x2013;37.97</td>
<td valign="top" align="center">0.55&#x2013;1.29</td>
<td valign="top" align="center">E5, E6, E8</td>
<td valign="top" align="left">
<italic>BnaA01G0146300ZS</italic>
</td>
<td valign="top" align="left">
<italic>FSD1</italic>
</td>
<td valign="top" align="left">Fe superoxide dismutase. Superoxide dismutase</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A05</td>
<td valign="top" align="center">19689622</td>
<td valign="top" align="center">
<italic>BnvaA0519689622</italic>
</td>
<td valign="top" align="center">14.27&#x2013;35.31</td>
<td valign="top" align="center">0.13&#x2013;0.48</td>
<td valign="top" align="center">E1, E4, E7</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A08</td>
<td valign="top" align="center">27196633&#x2013;27207043</td>
<td valign="top" align="center">
<italic>BnvaA0827196633, BnvaA0827207043, BnvaA0827196973</italic>
</td>
<td valign="top" align="center">12.21&#x2013;30.51</td>
<td valign="top" align="center">0.13&#x2013;1.71</td>
<td valign="top" align="center">E1, E7</td>
<td valign="top" align="left">
<italic>BnaA08G0296600ZS</italic>
</td>
<td valign="top" align="left">
<italic>SRC2</italic>
</td>
<td valign="top" align="left">soybean gene regulated by cold-2</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A02</td>
<td valign="top" align="center">8776765&#x2013;8833814</td>
<td valign="top" align="center">
<italic>BnvaA0208833814, BnvaA0208776765</italic>
</td>
<td valign="top" align="center">16.66&#x2013;36.12</td>
<td valign="top" align="center">0.24&#x2013;0.76</td>
<td valign="top" align="center">E1, E2, E4</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A03</td>
<td valign="top" align="center">25426194&#x2013;25520626</td>
<td valign="top" align="center">
<italic>BnvaA0325426194, BnvaA0325520626</italic>
</td>
<td valign="top" align="center">13.14&#x2013;19.74</td>
<td valign="top" align="center">0.37&#x2013;0.63</td>
<td valign="top" align="center">E2, E4, E9</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C06</td>
<td valign="top" align="center">17894906</td>
<td valign="top" align="center">
<italic>BnvaC0617894906</italic>
</td>
<td valign="top" align="center">20.65&#x2013;33.50</td>
<td valign="top" align="center">0.15&#x2013;0.41</td>
<td valign="top" align="center">E1, E2, E6</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C06</td>
<td valign="top" align="center">39070745&#x2013;39079766</td>
<td valign="top" align="center">
<italic>BnvaC0639079766, BnvaC0639070745</italic>
</td>
<td valign="top" align="center">7.60&#x2013;12.55</td>
<td valign="top" align="center">0.08&#x2013;0.55</td>
<td valign="top" align="center">E1, E2, E4</td>
<td valign="top" align="left">
<italic>BnaC06G0286700ZS</italic>
</td>
<td valign="top" align="left">
<italic>HTH</italic>
</td>
<td valign="top" align="left">Omega-Hydroxy Fatty Acyl Dehydrogenase</td>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C06</td>
<td valign="top" align="center">42697888</td>
<td valign="top" align="center">
<italic>BnvaC0642697888</italic>
</td>
<td valign="top" align="center">16.35&#x2013;63.64</td>
<td valign="top" align="center">0.31&#x2013;0.74</td>
<td valign="top" align="center">E1, E2, E6</td>
<td valign="top" align="left">
<italic>BnaC06G0323800ZS</italic>
</td>
<td valign="top" align="left">
<italic>FT</italic>
</td>
<td valign="top" align="left">Protein FLOWERING LOCUS T</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2009</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">A02</td>
<td valign="top" align="center">1946991&#x2013;2001373</td>
<td valign="top" align="center">
<italic>BnvaA0201946991, BnvaA0202001373, BnvaA0202001103</italic>
</td>
<td valign="top" align="center">4.53&#x2013;41.57</td>
<td valign="top" align="center">0.07&#x2013;1.03</td>
<td valign="top" align="center">E1, E3, E8</td>
<td valign="top" align="left">
<italic>BnaA02G0035100ZS</italic>
</td>
<td valign="top" align="left">
<italic>FLC</italic>
</td>
<td valign="top" align="left">MADS-box protein FLOWERING LOCUS C</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B51">Tadege et&#xa0;al., 2001</xref>
</td>
</tr>
<tr>
<td valign="top" align="left">A09</td>
<td valign="top" align="center">24518838&#x2013;24519761</td>
<td valign="top" align="center">
<italic>BnvaA0924518838, BnvaA0924519761</italic>
</td>
<td valign="top" align="center">9.29&#x2013;27.99</td>
<td valign="top" align="center">0.24&#x2013;0.65</td>
<td valign="top" align="center">E4, E3, E6</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="fnT1_1">
<label>a</label>
<p>E1: multi-environments joint GWAS; E2: WH2013; E3: WH2014; E4: CS2013; E5: CS2014; E6: NJ2013; E7: NJ2014; E8: CQ2013; E9: EZ2013.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_3">
<title>Detection of QTN-by-environment interactions for flowering time in multiple environments</title>
<p>All the datasets in eight environments were used to conduct joint analysis for identifying QEIs using 3VmrMLM. As a result, 32 significant QEIs and 4 suggested QEIs were identified, including 10 significant QEIs overlapped with the above stable QTNs (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S6</bold>
</xref>). Among these significant QEIs, 20 were found to have the highest absolute value of additive-by-environment interaction effects in WH2014 than those in other environments (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2B, D</bold>
</xref>), e.g., BnvaC0967693730 has an additive-by-environment interaction effect of &#x2212;1.85 in WH2014 than those in other environments (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S6</bold>
</xref>; LOD = 67.17; <italic>R</italic>
<sup>2</sup> = 1.07%). The two loci BnvaC0967693730 and BnvaA0406097547 have the highest <italic>R</italic>
<sup>2</sup> (LOD = 67.17; <italic>R<sup>2</sup>
</italic> = 1.07% and LOD = 66.42; <italic>R</italic>
<sup>2</sup> = 1.06%, respectively).</p>
</sec>
<sec id="s3_4">
<title>Detection of QTNs for flowering-time-related climatic index</title>
<p>To obtain reaction norms of flowering-time-related climatic index, joint regression analyses were performed on phenotypes and the above flowering-time-related climatic indexes (TAVG<sub>135&#x2013;144</sub>, PRCP<sub>3&#x2013;41</sub>, TAVG<sub>10&#x2013;19</sub>, and PRCP<sub>133&#x2013;169</sub>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S4</bold>
</xref>). The intercept and slope of reaction-norm parameters were used to detect QTNs for flowering-time-related climatic indexes using 3VmrMLM. As a result, 10 QTNs for reaction norm parameters of <italic>B. napu</italic>s flowering time were commonly identified with the above stable QTNs or QEIs, including 5, 2, 1, and 2 for TAVG<sub>135&#x2013;144</sub>, PRCP<sub>3&#x2013;41</sub>, TAVG<sub>10&#x2013;19</sub>, and PRCP<sub>133&#x2013;169,</sub> respectively (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S7</bold>
</xref>).</p>
</sec>
<sec id="s3_5">
<title>Prediction of candidate genes for flowering time</title>
<p>To mine candidate genes among the above QTNs and QEIs, DEGs analysis was conducted before and after vernalization. A total of 5,511 DEGs were identified in two SORs before and after vernalization (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S8</bold>
</xref>), and 5,850 DEGs were identified in two SWORs before and after vernalization (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S9</bold>
</xref>). Then, according to <italic>Arabidopsis</italic> gene annotation, 12 candidate genes were found to be associated with flowering time in approximately above 19 stable QTNs, including 7 known flowering-time-related homologs in <italic>Arabidopsis</italic> and 5 newly discovered genes (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Using the same methods, 14 candidate genes were identified to be located in the above 32 QEIs, including 9 homologs of known genes, in which their homologs are related to flowering time and environments in <italic>Arabidopsis</italic> and 5 newly identified genes (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). In addition, five candidate genes were found to be associated with flowering-time-related climatic index, including two genes (<italic>BnaC02.DDB2</italic> and <italic>BnaA05.COL9</italic>) commonly identified in QEIs and three genes (<italic>BnaA02.VIN3</italic>, <italic>BnaC02.RUG1</italic>, and <italic>BnaA06.UBC2</italic>) commonly found to be associated with the flowering time QTNs (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S7</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Differentially expressed gene (DEG) analysis before and after vernalization and selection sweeps between semi-winter and spring oilseed rapes (SWORs and SORs). Volcano plots of DEGs in SORs <bold>(A)</bold> and SWORs <bold>(B)</bold>. The y-axis is the adjusted <italic>p</italic>-value and the x-axis is log<sub>2</sub> fold-change (FC) before and after vernalization. Gray lines are at the absolute value of log<sub>2</sub>FC = 1 or adjusted <italic>p</italic>-value = 0.05. <bold>(C)</bold> The expression profiling of 27 candidate genes around main-effect QTNs and QEIs for flowering time in two SWORs and two SORs in the 2018&#x2013;2019 growing season in Wuhan. DAP, days after planting. <bold>(D)</bold> Selective sweeps between SWORs and SORs by XP-CLR. The horizontal dashed lines indicate the cutoff in the top 1% of XP-CLR scores. Candidate genes for flowering time are marked above the selective sweep peaks.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-13-1065766-g003.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Fourteen candidate genes for <italic>B. napus</italic> flowering time around significant QTN-by-environment interactions.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" colspan="5" align="left">Genome-wide association studies</th>
<th valign="top" colspan="4" align="center">Comparative genomics analysis</th>
<th valign="top" colspan="2" align="center">Evidences for environmental interaction</th>
</tr>
<tr>
<th valign="top" align="left">Chr</th>
<th valign="top" align="center">Pos (bp)</th>
<th valign="top" align="center">Marker</th>
<th valign="top" align="center">LOD</th>
<th valign="top" align="center">
<italic>R</italic>
<sup>2</sup> (%)</th>
<th valign="top" align="center">Gene ID</th>
<th valign="top" align="center">Abbr.</th>
<th valign="top" align="center">Function</th>
<th valign="top" align="center">Reference</th>
<th valign="top" align="center">Environment</th>
<th valign="top" align="center">Differences of flowering time under various environments</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">C09</td>
<td valign="top" align="center">67693730</td>
<td valign="top" align="center">
<italic>BnvaC0967693730</italic>
</td>
<td valign="top" align="center">67.17</td>
<td valign="top" align="center">1.07</td>
<td valign="top" align="center">
<italic>BnaC09G0614800ZS</italic>
</td>
<td valign="top" align="left">
<italic>PRR7</italic>
</td>
<td valign="top" align="left">Two-component response regulator-like APRR7</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B38">Nakamichi et&#xa0;al., 2007</xref>
</td>
<td valign="top" align="left">Circadian clock</td>
<td valign="top" align="left">
<italic>prr7</italic> single mutant is late flowering under LD conditions</td>
</tr>
<tr>
<td valign="top" align="left">C05</td>
<td valign="top" align="center">38307735</td>
<td valign="top" align="center">
<italic>BnvaC0538307735</italic>
</td>
<td valign="top" align="center">62.47</td>
<td valign="top" align="center">1.01</td>
<td valign="top" align="center">
<italic>BnaC05G0345200ZS</italic>
</td>
<td valign="top" align="left">
<italic>PLGG1</italic>
</td>
<td valign="top" align="left">Plastidal glycolate/glycerate translocator</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C03</td>
<td valign="top" align="center">64354328</td>
<td valign="top" align="center">
<italic>BnvaC0364354328</italic>
</td>
<td valign="top" align="center">60.84</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">
<italic>BnaC03G0665500ZS</italic>
</td>
<td valign="top" align="left">
<italic>PSAK</italic>
</td>
<td valign="top" align="left">Photosystem I reaction center subunit K</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C02</td>
<td valign="top" align="center">1592445</td>
<td valign="top" align="center">
<italic>BnvaC0201592445</italic>
</td>
<td valign="top" align="center">58.92</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">
<italic>BnaC02G0022200ZS</italic>
</td>
<td valign="top" align="left">
<italic>FPGS1</italic>
</td>
<td valign="top" align="left">Folylpolyglutamate synthase</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A05</td>
<td valign="top" align="center">42071520</td>
<td valign="top" align="center">
<italic>BnvaA0542071520</italic>
</td>
<td valign="top" align="center">50.18</td>
<td valign="top" align="center">0.79</td>
<td valign="top" align="center">
<italic>BnaA05G0456200ZS</italic>
</td>
<td valign="top" align="left">
<italic>COL9</italic>
</td>
<td valign="top" align="left">Zinc finger protein CONSTANS-LIKE 9</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B9">Cheng and Wang, 2005</xref>
</td>
<td valign="top" align="left">Circadian clock</td>
<td valign="top" align="left">
<italic>col9</italic> single mutant is early flowering under LD conditions</td>
</tr>
<tr>
<td valign="top" align="left">A03</td>
<td valign="top" align="center">16879521</td>
<td valign="top" align="center">
<italic>BnvaA0316879521</italic>
</td>
<td valign="top" align="center">42.43</td>
<td valign="top" align="center">0.70</td>
<td valign="top" align="center">
<italic>BnaA03G0318500ZS</italic>
</td>
<td valign="top" align="left">
<italic>FLD</italic>
</td>
<td valign="top" align="left">FOLOWERING LOCUS D</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B63">Zhang et&#xa0;al., 2013b</xref>
</td>
<td valign="top" align="left">Circadian clock</td>
<td valign="top" align="left">
<italic>fld</italic> single mutant is late flowering under both SD and LD conditions</td>
</tr>
<tr>
<td valign="top" align="left">C02</td>
<td valign="top" align="center">9413473</td>
<td valign="top" align="center">
<italic>BnvaC0209413473</italic>
</td>
<td valign="top" align="center">34.92</td>
<td valign="top" align="center">0.55</td>
<td valign="top" align="center">
<italic>BnaC02G0132800ZS</italic>
</td>
<td valign="top" align="left">
<italic>DDB2</italic>
</td>
<td valign="top" align="left">Damaged DNA-binding proteins 2 required for UV-B tolerance</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B1">Al Khateeb and Schroeder, 2007</xref>
</td>
<td valign="top" align="left">Light signaling</td>
<td valign="top" align="left">ddb2 suppressed the early flowering time of <italic>det1</italic> under long-day conditions</td>
</tr>
<tr>
<td valign="top" align="left">C03</td>
<td valign="top" align="center">27148748</td>
<td valign="top" align="center">
<italic>BnvaC0327148748</italic>
</td>
<td valign="top" align="center">30.92</td>
<td valign="top" align="center">0.48</td>
<td valign="top" align="center">
<italic>BnaC03G0400500ZS</italic>
</td>
<td valign="top" align="left">
<italic>CPNB2</italic>
</td>
<td valign="top" align="left">Chaperonin 60 subunit beta</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">C02</td>
<td valign="top" align="center">30403413</td>
<td valign="top" align="center">
<italic>BnvaC0230403413</italic>
</td>
<td valign="top" align="center">28.66</td>
<td valign="top" align="center">0.45</td>
<td valign="top" align="center">
<italic>BnaC02G0311500ZS</italic>
</td>
<td valign="top" align="left">
<italic>GRF2</italic>
</td>
<td valign="top" align="left">G-box binding factor GF14 omega encoding a 14-3-3 protein</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B31">Liu et&#xa0;al., 2012</xref>
</td>
<td valign="top" align="left">Unclear</td>
<td valign="top" align="left">
<italic>BnGRF2a</italic> transgenic lines delays flowering</td>
</tr>
<tr>
<td valign="top" align="left">A08</td>
<td valign="top" align="center">27196633</td>
<td valign="top" align="center">
<italic>BnvaA0827196633</italic>
</td>
<td valign="top" align="center">24.73</td>
<td valign="top" align="center">0.38</td>
<td valign="top" align="center">
<italic>BnaA08G0296600ZS</italic>
</td>
<td valign="top" align="left">
<italic>SRC2</italic>
</td>
<td valign="top" align="left">Involved in Protein Storage Vacuole targeting.</td>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A01</td>
<td valign="top" align="center">7152286</td>
<td valign="top" align="center">
<italic>BnvaA0107152286</italic>
</td>
<td valign="top" align="center">17.37</td>
<td valign="top" align="center">0.27</td>
<td valign="top" align="center">
<italic>BnaA01G0121900ZS</italic>
</td>
<td valign="top" align="left">
<italic>EBS</italic>
</td>
<td valign="top" align="left">PHD finger family protein</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B34">L&#xf3;pez-Gonz&#xe1;lez et&#xa0;al., 2014</xref>
</td>
<td valign="top" align="left">Epigenetic regulation</td>
<td valign="top" align="left">
<italic>ebs</italic> mutants repressed flowering</td>
</tr>
<tr>
<td valign="top" align="left">C01</td>
<td valign="top" align="center">50758439</td>
<td valign="top" align="center">
<italic>BnvaC0150758439</italic>
</td>
<td valign="top" align="center">16.63</td>
<td valign="top" align="center">0.27</td>
<td valign="top" align="center">
<italic>BnaC01G0442400ZS</italic>
</td>
<td valign="top" align="left">
<italic>NF-YA6</italic>
</td>
<td valign="top" align="left">Nuclear factor Y, subunit A6</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B48">Siriwardana et&#xa0;al., 2016</xref>
</td>
<td valign="top" align="left">Photoperiod</td>
<td valign="top" align="left">
<italic>NF-YA</italic> can be positive regulators of photoperiod dependent flowering</td>
</tr>
<tr>
<td valign="top" align="left">C02</td>
<td valign="top" align="center">1725158</td>
<td valign="top" align="center">
<italic>BnvaC0201725158</italic>
</td>
<td valign="top" align="center">12.62</td>
<td valign="top" align="center">0.19</td>
<td valign="top" align="center">
<italic>BnaC02G0024600ZS</italic>
</td>
<td valign="top" align="left">
<italic>UBP12</italic>
</td>
<td valign="top" align="left">Ubiquitin carboxyl-terminal hydrolase 12</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B12">Cui et&#xa0;al., 2013</xref>
</td>
<td valign="top" align="left">Circadian clock</td>
<td valign="top" align="left">ubp12 single mutant is slightly early flowering under both SD and LD conditions</td>
</tr>
<tr>
<td valign="top" align="left">A03</td>
<td valign="top" align="center">26932605</td>
<td valign="top" align="center">
<italic>BnvaA0326932605</italic>
</td>
<td valign="top" align="center">11.96</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">
<italic>BnaA03G0486700ZS</italic>
</td>
<td valign="top" align="left">
<italic>DREB1B</italic>
</td>
<td valign="top" align="left">Dehydration-responsive element-binding protein 1B</td>
<td valign="top" align="left">
<xref ref-type="bibr" rid="B44">Seo et&#xa0;al., 2009</xref>
</td>
<td valign="top" align="left">Cold</td>
<td valign="top" align="left">Response to ABA treatment</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Among these candidate genes, <italic>BnaFT</italic>s, <italic>BnaA05.COL9</italic>, <italic>BnaA08.SRC2</italic>, and <italic>BnaA03.DREB1B</italic> were significantly upregulated before vernalization in both SWORs and spring SORs, while <italic>BnaFLCs</italic>, <italic>BnaA01.FSD1</italic>, <italic>BnaC02.RUG1</italic>, <italic>BnaC05.PLGG</italic>, and <italic>BnaC03.PSAK</italic> were significantly upregulated after vernalization (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A</bold>
</xref>
<xref ref-type="fig" rid="f3">
<bold>, B</bold>
</xref>). Interestingly, <italic>BnaA02.VIN3</italic> and <italic>BnaC02.FPGS</italic> were only significantly upregulated before vernalization in SOR, which may indicate different functions between eco-types.</p>
</sec>
<sec id="s3_6">
<title>Validation of candidate genes</title>
<p>To validate the above flowering time candidate genes, we conducted selective sweep, haplotype, and co-expression analysis. First, by performing XP-CLR between SWORs and SORs, 954 selective sweeps were detected (<xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Table S10</bold>
</xref>). Eleven candidate genes for flowering time were found in the selective sweep, e.g., <italic>BnaFLCs</italic>, <italic>BnaFTs</italic>, <italic>BnaC02.FPGS1</italic>, <italic>BnaA08.SRC2</italic>, <italic>BnaA01.FSD1</italic>, <italic>BnaA02.VIN3</italic>, and <italic>BnaC09.PRR7</italic>. Second, haplotype analyses were further conducted in these genes. For <italic>BnaA02.FT</italic>, <italic>BnaA10.FLC</italic>, <italic>BnaA02.VIN3</italic>, and <italic>BnaC09.PRR7</italic>, significant difference exists between each haplotype in different environments (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A&#x2013;D</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S4A&#x2013;D</bold>
</xref>). Interestingly, the haplotype for early flowering tends to exist in SORs, while the haplotype for late flowering prefers to exist in SWORs. Moreover, the co-expression networks of <italic>BnaA02.VIN3</italic> and <italic>BnaC09.PRR7</italic> have been constructed using DEGs in SWORs and SORs, respectively (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A, B</bold>
</xref>). The co-expressed genes of <italic>BnaA02.VIN3</italic> mainly participated in the circadian clock, photoperiodism, light perception, and signaling. Eight genes are specific co-expressed in SORs, including <italic>BnaA07.ZEP</italic> and <italic>BnaC09.ABCG22</italic> in response to water deprivation. Five genes are specific co-expressed in SWORs. On the other hand, the co-expressed genes of <italic>BnaC09.PRR7</italic> mainly participated in the circadian clock and autonomous pathway. Five and one genes are specific co-expressed in SORs and SWORs, respectively. <italic>BnaCKA2</italic>s and <italic>BnaPKDM7</italic>s participated in epigenetic regulation.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Haplotype analysis of <italic>BnaC02.FT</italic>, <italic>BnaA10.FLC</italic>, <italic>BnaC09.PRR7</italic>, and <italic>BnaA02.VIN3</italic> <bold>(A&#x2013;D)</bold>. In the boxplot, significant differences for flowering time between each haplotype are calculated in eight environments with <italic>t</italic>-test. In pie plots, the haplotype frequencies of each gene in semi-winter and spring oilseed rapes are marked. WH2013, Wuhan in 2013; WH2014, Wuhan in 2014; CS2013, Changsha in 2013; CS2014, Changsha in 2014; NJ2013, Nanjing in 2013; NJ2014, Nanjing in 2014; CQ2013, Chongqing in 2013; EZ2013, Ezhou in 2013. *<italic>p</italic> = 0.05, **<italic>p</italic> = 0.01, and ***<italic>p</italic> = 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-13-1065766-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Co-expression network of <italic>BnaVIN3</italic> and <italic>BnaPRR7</italic> with co-expressed genes related to flowering time <bold>(A, B)</bold>. Light blue, dark blue, and yellow node indicate co-expressed genes that were detected in semi-winter, spring, and both types of oilseed rapes, respectively. The size of each node represents the number of genes in each gene family.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-13-1065766-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>Although flowering time is strongly related to the environment, G by E studies for flowering time are lacking in <italic>B. napus</italic>. The current study analyzed the G by E for flowering time in the following three aspects. First, four windows of flowering-time-related climatic index were identified (TAVG<sub>135&#x2013;144</sub>, PRCP<sub>3&#x2013;41</sub>, TAVG<sub>10&#x2013;19</sub>, and PRCP<sub>133&#x2013;169</sub>) by CERIS. Second, 19 stable QTNs and 32 QEIs were found to be significantly associated with flowering time of 490 <italic>B. napus</italic> accessions in eight environments, and 10 QTNs were found to be associated with flowering-time-related climatic index. Finally, based on DEGs and homology with <italic>Arabidopsis</italic>, 12, 14, and 5 candidate genes were found to be associated with stable QTNs, QEIs, and QTNs for flowering-time-related climatic index, respectively. These candidate genes were further validated by the haplotype, selective sweep, and co-expression network analysis.</p>
<sec id="s4_1">
<title>Flowering-time-related climatic index in <italic>B. napus</italic> whole growth stages</title>
<p>It is well-known that the flowering time regulation of <italic>B. napus</italic> is in response to day length or vernalization (<xref ref-type="bibr" rid="B42">Reeves and Coupland, 2000</xref>). This study calculated the correlations between two climatic factors, TAVG and PRCP, and flowering time in seven environments. TAVG correlated positively with flowering time in vernalization and negatively with flowering time after the seedling stage (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref>). In a previous study, a reduction in autumn or winter chilling delays floral transition in <italic>B. napus</italic> (<xref ref-type="bibr" rid="B39">O&#x2019;Neill et&#xa0;al., 2019</xref>). An elevated growth temperature is equally efficient in inducing the flowering of <italic>Arabidopsis</italic> (<xref ref-type="bibr" rid="B4">Balasubramanian et&#xa0;al., 2006</xref>). However, the transition or critical point of these two stages is unclear. For PRCP, this study reported the relationships between PRCP and flowering time in <italic>B. napus</italic> for the first time. Although the correlation coefficients are lower than TAVG, PRCP was found to be correlated negatively with flowering time in early development and positively later (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>). This result is consistent with a previous study in <italic>Arabidopsis</italic> that flowering time correlated negatively with fall and winter precipitations and positively with summer precipitation (<xref ref-type="bibr" rid="B54">Vidigal et&#xa0;al., 2016</xref>).</p>
</sec>
<sec id="s4_2">
<title>Genetic basis for flowering time in <italic>B. napus</italic>
</title>
<p>In this study, multi-environment joint GWAS improved the power on identifying more QTNs than single environment GWAS. We dissected the genetic basis for flowering time in the following three aspects. First, 12 flowering time candidate genes were mined in approximately 19 stable QTNs for flowering time. Seven genes are previously reported, e.g., <italic>BnaFLC</italic>s (<xref ref-type="bibr" rid="B51">Tadege et&#xa0;al., 2001</xref>), <italic>BnaFTs</italic> (<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2009</xref>), <italic>BnaAGL24</italic> (<xref ref-type="bibr" rid="B61">Yu et&#xa0;al., 2002</xref>), and <italic>BnaCRY2</italic> (<xref ref-type="bibr" rid="B46">Sharma et&#xa0;al., 2022</xref>), whereas five genes are newly identified, which are differentially expressed before and after the vernalization of different ecotypes (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary Tables S8</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S9</bold>
</xref>). Second, it is worth noting that this study focused on the mining of flowering time genes related to the environments. Fourteen candidate genes were identified around 32 QEIs, including 9 known flowering time genes related to environments. For example, <italic>BnaCOL9</italic> and <italic>BnaUBP12</italic> are regulated by the circadian clock in the photoperiod pathway (<xref ref-type="bibr" rid="B9">Cheng and Wang, 2005</xref>; <xref ref-type="bibr" rid="B12">Cui et&#xa0;al., 2013</xref>). <italic>BnaFLD</italic> is subjected to the direct regulation by brassinosteroids (<xref ref-type="bibr" rid="B63">Zhang et&#xa0;al., 2013b</xref>). It has been reported that the overexpression of <italic>BnaDREB1B</italic> not only delayed flowering but also responded to cold (<xref ref-type="bibr" rid="B44">Seo et&#xa0;al., 2009</xref>). <italic>BnaEBS</italic> functions in the chromatin-mediated repression of floral initiation by H3K4me3 (<xref ref-type="bibr" rid="B34">L&#xf3;pez-Gonz&#xe1;lez et&#xa0;al., 2014</xref>). Finally, five genes were found to be associated with flowering-time-related climatic index. <italic>BnaC02.DDB2</italic> and <italic>BnaA05.COL9</italic> were commonly identified in QEIs, and <italic>BnaA02.VIN3</italic>, <italic>BnaC02.RUG1</italic>, and <italic>BnaA06.UBC2</italic> were commonly found to be associated with the main effect flowering time QTNs.</p>
<p>In this study, the missing heritability exists, in which the total phenotypic variance explained of QEIs and QTNs is much less than the estimated broad-sense heritability. This can be explained in several ways. First, the population is not enough to detect rare variants. Second, allelic heterogeneity may be the reason for this phenomenon. Lastly, epigenetic variation is likely to be a source of missing heritability (<xref ref-type="bibr" rid="B8">Brachi et&#xa0;al., 2011</xref>). Moreover, some candidate genes for stable QTNs, e.g., <italic>BnaA02.FT</italic> and <italic>BnaA10.FLC</italic>, were found to be related to environments but were not identified in QEIs (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). This result is explained by multiple facets, e.g., the difference in phenotypic data among environments, the diversity of population accessions, and the power of QEI detection. In the previous study, <italic>COL9</italic> and <italic>FLD</italic> have been reported to regulate <italic>FT</italic> and <italic>FLC</italic>, respectively (<xref ref-type="bibr" rid="B9">Cheng and Wang, 2005</xref>; <xref ref-type="bibr" rid="B21">Jiang et&#xa0;al., 2009</xref>). <italic>BnA05.COL9</italic> and <italic>BnaA03.FLD</italic> were found to be candidate genes for QEIs in this study. We hypothesized that QEI may be associated with direct environmental response upstream regulators due to the complexity of transcription and epigenetic regulations of flowering (<xref ref-type="bibr" rid="B7">Bouch&#xe9; et&#xa0;al., 2016</xref>).</p>
</sec>
<sec id="s4_3">
<title>
<italic>BnaA02.VIN3</italic> and <italic>BnaC09.PRR7</italic> are potential G by E genes for flowering time</title>
<p>In <italic>Arabidopsis</italic>, <italic>VIN3</italic> acts together with <italic>PRC2</italic> to repress histone marks at <italic>FLC</italic> in response to vernalization (<xref ref-type="bibr" rid="B22">Kim and Sung, 2013</xref>). <italic>PRR7</italic> was reported to coordinate with <italic>PRR9</italic> and <italic>PRR5</italic> and regulate flowering time through the canonical <italic>CO</italic>-dependent photoperiodic pathway (<xref ref-type="bibr" rid="B38">Nakamichi et&#xa0;al., 2007</xref>). In this study, <italic>BnaA02.VIN3</italic> and <italic>BnaC09.PRR7</italic> have been shown to be crucial G by E genes for flowering time. There are three pieces of evidence. First, <italic>BnaA02.VIN3</italic> is significantly associated with ChrA02-6152101 (LOD = 13.14) for flowering-time-related climatic factors and with ChrA02-6374324 (LOD = 12.17) for flowering time in WH2013. <italic>BnaC09.PRR7</italic> is significantly associated with the QEI, ChrC09-67693730 (LOD = 67.17), by multi-environment GWAS. Second, <italic>BnaA02.VIN3</italic> and <italic>BnaC09.PRR7</italic> are DEGs before and after vernalization and in the selective sweep between SORs and SWORs (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Then, in these genes with significant haplotype differences, their haplotypes for early flowering tend to exist more in SORs (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4C</bold>
</xref>
<xref ref-type="fig" rid="f4">
<bold>, D</bold>
</xref>). Lastly, co-expression networks were constructed for <italic>BnaA02.VIN3</italic> and <italic>BnaC09.PRR7</italic>. Some relationships have been proven, e.g., <italic>PRR7</italic> with <italic>LHY</italic> (<xref ref-type="bibr" rid="B30">Liu et&#xa0;al., 2013</xref>), <italic>PRR7</italic> with <italic>PRR5</italic> (<xref ref-type="bibr" rid="B38">Nakamichi et&#xa0;al., 2007</xref>), and <italic>VIN3</italic> with <italic>CCA1</italic> and <italic>LHY</italic> (<xref ref-type="bibr" rid="B25">Kyung et&#xa0;al., 2022</xref>).</p>
<p>In summary, we dissected the G by E for flowering time for <italic>B. napus</italic> from different eco-types in eight environments. Four windows of flowering-time-related climatic index were identified. Stable QTNs and QEIs for flowering time and their candidate genes were identified. These findings provide valuable information that can be used to breed <italic>B. napus</italic> varieties with optimized flowering time by pyramiding favorable alleles. The candidate genes will also greatly promote the dissection of flowering time mechanisms in different eco-types.</p>
</sec>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are publicly available. This data can be found here: NGDC, PRJCA012445 and CRA008501.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>LG and XH conceived this study. QT, LX, ZG, JT, and BY performed the field experiments. XH performed the bioinformatics analysis and wrote the manuscript. JT, BY, KL, XY, SL, and LG revised the manuscript. All authors approved the submitted version.</p>
</sec>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by grants from the National Natural Science Foundation of China (U2102217), Key Research and Development Program of Hubei (2021ABA011) and Higher Education Discipline Innovation Project (B20051).</p>
</sec>
<sec id="s8" sec-type="acknowledgement">
<title>Acknowledgments</title>
<p>We would like to thank Prof. Yuan-Ming Zhang (College of Plant Science and Technology, Huazhong Agricultural University, Wuhan) for improving the language within the manuscript.</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>
</body>
<back>
<sec sec-type="supplementary-material" id="s11">
<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.2022.1065766/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2022.1065766/full#supplementary-material</ext-link>
</p>
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<supplementary-material xlink:href="DataSheet_1.pdf" id="SM1" mimetype="application/pdf"/>
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