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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Agron.</journal-id>
<journal-title>Frontiers in Agronomy</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Agron.</abbrev-journal-title>
<issn pub-type="epub">2673-3218</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fagro.2024.1257830</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Agronomy</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A case study on the impacts of future climate change on soybean yield and countermeasures in Fujin city of Heilongjiang province, China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Li</surname>
<given-names>Yue</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>Chang</surname>
<given-names>Junfei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Xining</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Liwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Chuanyou</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>College of Agronomy, Shenyang Agricultural University</institution>, <addr-line>Shenyang</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Dashiqiao Meteorological Bureau</institution>, <addr-line>Yingkou</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Liaoning Key Laboratory of Agrometeorological Disasters</institution>, <addr-line>Shenyang</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>National Meteorological Center, China Meteorological Administration</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Domenico Ronga, University of Salerno, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Dengpan Xiao, Hebei Normal University, China</p>
<p>Motoki Nishimori, National Agriculture and Food Research Organization (NARO), Japan</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Xining Gao, <email xlink:href="mailto:syaugxn@syau.edu.cn">syaugxn@syau.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>25</day>
<month>01</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>6</volume>
<elocation-id>1257830</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>01</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Li, Chang, Gao, Zhang, Wang and Ren</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Li, Chang, Gao, Zhang, Wang and Ren</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>Global climate change poses a great impact on crop growth, development and yield. Soybean production in Northeast China, which is one of the traditional dominant soybean production areas in China, is of great significance for developing the domestic soybean industry and reducing dependence on imported soybeans. Therefore, it is crucial to evaluate the impacts of future climate change on soybean yield in Northeast China, and to propose reasonable adaptation measures. In this study, we took Fujin city of Heilongjiang province in Northeast China as an example, and used the CROPGRO-soybean model in DSSAT (Decision Support System for Agrotechnology Transfer) to simulate the impacts of future climate change on soybean yield in the four periods of the 2020s (2021-2030), 2030s (2031-2040), 2040s (2041-2050) and 2050s (2051-2060) under two representative concentration pathway (RCP) scenarios (RCP4.5 and RCP8.5), and further determine the best agronomic management practices. The results showed that the calibrated and validated model is suitable for simulating soybean in the study area. By analyzing the meteorological data under future climate scenarios RCP4.5 and RCP8.5 from the PRECIS regional climate model, we found that the average temperature, cumulative precipitation and cumulative solar radiation would mostly increase during the growing season in Fujin city of Heilongjiang province. Combined with the model simulation results, it is shown that under the effect of CO<sub>2</sub> fertilization, future climate change will have a positive impact on soybean yield. Compared to the baseline (1986-2005), the soybean yield would increase by 0.6% (7.4%), 3.3% (5.1%), 6.0% (16.8%) and 12.3% (20.6%) in the 2020s, 2030s, 2040s and 2050s under RCP4.5 (RCP8.5).Moreover, the optimal sowing dates and the optimal supplemental irrigation amount under RCP4.5 (RCP8.5) are May 10 (May 5) and 50 mm (40mm), respectively. Under future climate conditions, the agronomic management practices, such as advancing the sowing date and supplementary irrigation in the key stage of soybean growth would increase soybean yield and make soybean growth more adaptable to future climate change.</p>
</abstract>
<kwd-group>
<kwd>soybean</kwd>
<kwd>future climate scenarios</kwd>
<kwd>DSSAT-CROPGRO-soybean model</kwd>
<kwd>agronomic management practices</kwd>
<kwd>case study</kwd>
</kwd-group>
<contract-sponsor id="cn001">Shenyang Agricultural University<named-content content-type="fundref-id">10.13039/501100008527</named-content>
</contract-sponsor>
<counts>
<fig-count count="14"/>
<table-count count="1"/>
<equation-count count="4"/>
<ref-count count="64"/>
<page-count count="13"/>
<word-count count="6053"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Climate-Smart Agronomy</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>    <p>The uncertainty of climate change will have an impact on human society, environment and ecosystem. Therefore, it is very important to study the future climate change. According to the recent Intergovernmental Panel on Climate Change (<xref ref-type="bibr" rid="B24">IPCC, 2021</xref>), future changes in the global average temperature are expected to reach or exceed 1.5 &#xb0;C in the next 20 years, and human activities have increased the occurrence frequency and intensity of extreme temperature, precipitation and drought. Global climate change may have disastrous impacts on nature and human social systems, especially on agriculture industry and food security (<xref ref-type="bibr" rid="B49">Tao et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B4">Baldos et&#xa0;al., 2020</xref>). Climate plays a significant role in agricultural production, and changes in climatic conditions directly affect crop development and final yield (<xref ref-type="bibr" rid="B59">You et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B15">Guo et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B63">Zhou and Wang, 2015</xref>; <xref ref-type="bibr" rid="B28">Kassaye et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B35">Lukali et&#xa0;al., 2021</xref>). Studies show that 32%-39% of the annual yield variability of corn, soybean and other crops globally is caused by climate variability (<xref ref-type="bibr" rid="B43">Ray et&#xa0;al., 2015</xref>). In addition, the global distribution of climate change impacts on crops is different, resulting in different impacts on crop yield. For example, in high latitudes, the temperature is relatively low, so increasing the temperature could increase the land area suitable for agriculture and forestry, and finally increase the crop yield. However, climate change at low latitudes could reduce soil moisture and agricultural productivity, thus reducing crop yield (<xref ref-type="bibr" rid="B11">Darwin et&#xa0;al., 1995</xref>). Due to the uncertainty of the impacts of future climate change on crops and the importance of agricultural production, the study of the impacts of future climate change on agriculture has become one of the hottest issues in the current climate change research field (<xref ref-type="bibr" rid="B62">Zhao et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B36">Martins et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B56">Xiao et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B64">Zilli et&#xa0;al., 2020</xref>).</p>
<p>The impacts of climate change on crops have been widely studied by the two main methods of observation experiment and model simulation (<xref ref-type="bibr" rid="B7">Cai et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B40">Mohammed et&#xa0;al., 2017</xref>). The method of using computer models to simulate and predict climate change has been developed rapidly and has become the most ideal method for the quantitative study of climate change impacts. Crop model takes crops as the research object and the growth and development process as the main content. Simulation results are often used to quantify the impacts of climate and other factors on crop yield (<xref ref-type="bibr" rid="B48">Shi et&#xa0;al., 2013</xref>). At present, more than 100 crop simulation models have been developed, e.g., the Agricultural Production System Simulator (APSIM) model from Australia, the Soil Water Atmosphere Plant (SWAP) model from Holland, and the Decision Support System for Agrotechnology Transfer (DSSAT) model from the United States. These crop models have also been widely used to evaluate the impacts of agronomic management practices on crop yields and make some adjustments, such as supplementary irrigation, adjustment of sowing dates and supplementary fertilization (<xref ref-type="bibr" rid="B22">Humphreys et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B41">Mohanty et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B50">Tari et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B12">Ding et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B46">Saddique et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B30">Kim et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B54">Wang et&#xa0;al., 2021</xref>). Among them, DSSAT is a process-based model that uses meteorological, soil, and field management data to predict the growth and development of a specific crop. It has over 42 crop modules, such as CERES (CROP Environment Resource Synthesis) and CROPGRO (Crop Growth) in the DSSAT Cropping System Model (CSM). The DSSAT model has been widely used in studying the impacts of climate change on crop growth and the evaluation (assessment) of agronomic management practices (<xref ref-type="bibr" rid="B25">Jones et&#xa0;al., 2011</xref>). <xref ref-type="bibr" rid="B16">Hasan and Rahman (2019)</xref> used the DSSAT model and PRECIS (Predicting Regional Climate Impact Studies) model to simulate the impacts of future climate change on rice yield in Bangladesh. The results showed that the impacts of future climate change on the average rice yield for 2030s and 2050s are positive. However, as the temperature continues to rise, the impact becomes negative in 2070s, which can be mitigated by changing the transplanting date. A recent study by <xref ref-type="bibr" rid="B44">Rugira et&#xa0;al. (2021)</xref> used the DSSAT model to simulate the maize yield in Northern China under different agronomic management practices, then revealed that the sowing date of May 20 and supplementary irrigation of 170&#xa0;mm during the tasseling and grouting phases could effectively improve the maize yield in Northern China. Moreover, the DSSAT CSM-CROPGRO-Soybean model has been widely used to predict the growth and development of soybean and explore the impacts of adjusting agronomic management practices on soybean yield (<xref ref-type="bibr" rid="B27">J&#xfa;nior and Sentelhas, 2019</xref>; <xref ref-type="bibr" rid="B14">Fernandes et&#xa0;al., 2022</xref>). Although previous studies have investigated the impacts of climate change on agricultural production, the application of the DSSAT-CROPGRO-Soybean model in Northeast China, which is the main soybean production area in China, has rarely been reported.</p>
<p>Soybean (<italic>Glycine max</italic>) (Glycine Max (L.) Merrill), a legume crop, has high economic and nutritional value. As a food crop and oil crop, soybean is widely cultivated all around the world and plays a key role in global food security (<xref ref-type="bibr" rid="B38">Masuda and Goldsmithe, 2009</xref>; <xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2010</xref>). China is the fourth largest soybean producer in the world (<xref ref-type="bibr" rid="B32">Klein and Luna, 2021</xref>). Due to the increasing growth of population, the production level still cannot meet the demand, so improving the soybean production level is of great significance to improve the national economy. Although soybeans are widely cultivated across China, approximately 50% of the total area of soybean cultivation in China is located in northeast China, due to its moderate soil and temperature conditions. Northeast China is the region with the highest production of spring soybean in China (<xref ref-type="bibr" rid="B18">He et&#xa0;al., 2013</xref>). Hence, it is important to study the impacts of future climate change on soybean yield in Northeast China.</p>
<p>In this study, Fujin city of Heilongjiang province was taken as an example, and the DSSAT-CROPGRO-Soybean model and two Representative Concentration Pathways (RCPs)&#x2014;RCP4.5 and RCP8.5 were used. The objectives of this paper were to investigate the simulated trends of soybean yields under two RCPs; to assess the impacts of various agronomic management practices on soybean yield under future climate change; and to determine the best agronomic management practice to achieve an increase in soybean yield.</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 area</title>
<p>Fujin city (132&#xb0;01&#x2019;E, 47&#xb0;23&#x2019;N) is located in the northeast of Heilongjiang Province and the south bank of the lower reaches of the Songhua River, with an average altitude of approximately 60&#xa0;m (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). It has a temperate continental monsoon climate with four distinct seasons. During the soybean growing season (May-September) in Fujin city from 1961 to 2020, the average temperature was 18.2 &#xb0;C, the average cumulative precipitation was 424.9 mm (accounting for 80.7% of the annual precipitation), and the average cumulative solar radiation was 18.32 MJ&#xb7;m<sup>-2</sup>. In general, during 1986-2005, the average temperature, cumulative precipitation and cumulative solar radiation during the soybean growing season showed increasing trends, but the trends were not significant (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Geographical location of the study experimental station in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g001.tif"/>
</fig>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Time series of climatic elements (including cumulative precipitation, cumulative solar radiation, and average temperature) during the growing season (May to September) for soybean from1961 to 2020 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g002.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Data</title>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>Historical and future climate data</title>
<p>Historical daily climate data including average, maximum and minimum temperatures, precipitation and sunshine duration from 1960 to 2020 in Fujin city were obtained from National Meteorological Information Center (<ext-link ext-link-type="uri" xlink:href="http://data.cma.cn/">http://data.cma.cn/</ext-link>). To meet the data requirement to force the DSSAT model, sunshine duration was converted to solar radiation using the method provided by <xref ref-type="bibr" rid="B2">Allan et&#xa0;al. (1998)</xref>. These data were used to calibrate and verify the genetic parameters of the soybean model and further to simulate the impacts of climate change on soybean yield in Fujin city.</p>
<p>Future daily climate data including average temperatures, cumulative precipitation and cumulative solar radiation during the period of 2021-2060 were obtained from the Institute of Agricultural Environment and Sustainable Development, Chinese Academy of Agricultural Sciences. The future climate scenario data were generated with higher horizontal resolution of 25 km&#xd7;25 km dynamic downscaling based on the results of PRECIS (Providing REgional Climates for Impacts Studies) nested global model HadGEM2-ES simulation. This set of data has been widely used in studying the impacts of climate change, and its validity has also been verified in previous studies (<xref ref-type="bibr" rid="B57">Xu et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B29">Khiem et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B37">Massey et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B39">Meng et&#xa0;al., 2020</xref>). We further took the average of the gridded data within the region of Fujin city to represent the future climate scenario data at this research site. Four representative concentration pathways (RCP2.6, 4.5, 6.0, 8.5) were released by the Coupled Model Intercomparison Project phase 5 (CMIP5, <xref ref-type="bibr" rid="B51">Taylor et&#xa0;al., 2012</xref>). In this study, we only focus on the moderate (RCP4.5) and high (RCP8.5) emission scenarios for which radiative forcing rise to 4.5 W&#xb7;m<sup>-2</sup> and 8.5 W&#xb7;m<sup>-2</sup> by 2100, respectively. We chose 1986-2005 as a baseline, and four future periods representing the 2020s (2021-2030), 2030s (2031-2040), 2040s (2041-2050) and 2050s (2051-2060) to study the changes of climate factors and soybean yield in Fujin under RCP4.5 and RCP8.5.</p>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>Field data</title>
<p>We chose Kenong 30, which is commonly planted soybean variety in Fujin with high yield and protein, and is cultivated by Heilongjiang Bayi Agricultural University, to conduct the experiment. The data of field management practices, observations during the growing season, and yield were obtained from the experiment with phased sowing conducted at the Fujin experimental station in 2020. The experiment was divided into three phases, with the sowing dates of May 10, May 20 and May 30. The planting depth was 4&#xa0;cm, and the planting density was 26 plants/m<sup>2</sup>. One week before sowing, the method of ridging and fertilizing was adopted.</p>
<p>The DSSAT model was used to simulate the soybean yield during the base period of 1986-2005, and the farmland management measures were set as follows: a) no chemical treatment was used to control pests and diseases; b) there were no irrigated treatments, only rain-fed treatments; c) the recommended fertilizer levels were applied, including 200 kg/ha DAP (diammonium phosphate), 90 kg/ha urea and 60 kg/ha potassium chloride, and no topdressing was carried out after sowing; d) based on the prevailing local practices, the sowing date was on May 20, the plant density was 19 plants/m<sup>2</sup>, and the planting depth was 4&#xa0;cm.</p>
<p>The soil data of Fujin agro-meteorological experimental station were obtained from the Chinese soil science database (<ext-link ext-link-type="uri" xlink:href="http://vdb3.soil.csdb.cn">http://vdb3.soil.csdb.cn</ext-link>), including soil color, type, depth, total nitrogen, cation exchange capacity, organic carbon and PH values, etc.</p>
</sec>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Methods</title>
<p>In this study, the CSM-CROPGRO-Soybean, embedded within DSSAT version 4.7.0 (<xref ref-type="bibr" rid="B26">Jones et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B21">Hoogenboom et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B20">Hoogenboom et&#xa0;al., 2019</xref>) was used, and meteorological data, soil data and field management data were input into the model to simulate soybean growth and yield under different climate scenarios. The crop model inputs include: (1) meteorological data, including the name, altitude, latitude and longitude of the stations, and the daily meteorological data (maximum and minimum air temperature, precipitation, solar radiation); (2) soil data, including soil color, type, depth, total nitrogen, cation exchange capacity, organic carbon and PH values; (3) field management data, including planting method, density, depth, irrigation time and amount; (4) genetic coefficients: there are total 16 genetic coefficients for soybean, including SCDL, PPSEN, EM-FL, etc. Moreover, the crop variety parameters reflect the interaction between variety genotype and environment, which could affect the accuracy of crop yield simulation results. We calibrated and validated the genetic coefficients of the experimental variety with field observations, including the dates of emergence, flowering and maturity, above-ground biomass and final yield in 2020 at the experimental station.</p>
<p>We used the statistical indices of root mean square error (RMSE), normalized root mean square error (NRMSE), correlation coefficient (R<sup>2</sup>) and Willmott&#x2019;s index of agreement (D) for the simulated and observed data to evaluate the calibrated model. These indices were calculated (<xref ref-type="disp-formula" rid="eq1">Equations 1</xref>-<xref ref-type="disp-formula" rid="eq4">4</xref>) as follows:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>S</mml:mi>
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<p>Where <italic>k</italic> is the number of samples,<italic>X<sub>i</sub>
</italic>and <italic>Y<sub>i</sub>
</italic>are the i<sup>th</sup> observed and simulated data, and <inline-formula>
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<p>In the DSSAT-CROPGRO-Soybean model, we adjusted two agronomic management practices that are adjusting sowing date and supplementary irrigation to analyze their effects on soybean yield. In this study, we ran crop simulations by adjusting sowing dates at an interval of 5 days from April 30 to June 9, a total of 9 adjustment plans of sowing dates. Supplemental irrigation was applied four times in the key stage of soybean growth (flowering and podding period), with an interval of 20 days starting from 20 days before the flowering date. The sprinkler irrigation was used, and the irrigation amount was set for five levels of 10, 20, 30, 40 and 50&#xa0;mm.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Model calibration and validation</title>
<p>In the DSSAT-CROPGRO-Soybean model, we calibrated and validated the genetic coefficients of the experimental soybean variety with field data during the growing season in 2020 at the experimental station in Fujin city of Heilongjiang province. The black dotted line in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> is 1:1 line. The closer the value is to the 1:1 line, the closer the model simulation value is to the observed value. We found that the simulated and observed values for the length of growing season (days after sowing), above-ground biomass and yield were round the 1:1 line, showing high goodness of fitting for these indices. Moreover, we calculated the statistical indices of root mean square error (RMSE), normalized root mean square error (NRMSE), correlation coefficient (R<sup>2</sup>) and Willmott&#x2019;s index of agreement (D) between the simulated and observed agricultural indices including emergence, flowering and maturity dates, above-ground biomass and yield. The results showed that the values of both R<sup>2</sup> and D were close to 1, and the NRMSE was below 20% (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Therefore, the calibrated DSSAT-CROPGRO-Soybean model is suitable for simulating soybean in Fujin.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Comparison of simulated values (Y-axes) and observed values (X-axes) for <bold>(A)</bold> days after sowing, <bold>(B)</bold> above-ground biomass and <bold>(C)</bold> yield in 2020 at the experimental station in Fujin of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Statistical indices including root mean square error (RMSE), normalized root mean square error (NRMSE), correlation coefficient (R<sup>2</sup>) and Willmott&#x2019;s index of agreement (D) between simulated and observed agricultural indices including emergence, flowering and maturity dates, above-ground biomass and yield in 2020 at the experimental station in Fujin city of Heilongjiang province.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Evaluation index (unit)</th>
<th valign="top" align="center">RMSE</th>
<th valign="top" align="center">NRMSE (%)</th>
<th valign="top" align="center">R<sup>2</sup>
</th>
<th valign="top" align="center">D</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Emergence, flowering and maturity dates (day)</td>
<td valign="top" align="center">2.08</td>
<td valign="top" align="center">3.36</td>
<td valign="top" align="center">0.9996</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" align="left">Above-ground biomass (kg/ha)</td>
<td valign="top" align="center">613.03</td>
<td valign="top" align="center">19.78</td>
<td valign="top" align="center">0.9822</td>
<td valign="top" align="center">0.993</td>
</tr>
<tr>
<td valign="top" align="left">Yield (kg/ha)</td>
<td valign="top" align="center">141.88</td>
<td valign="top" align="center">4.67</td>
<td valign="top" align="center">0.9426</td>
<td valign="top" align="center">0.855</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Climate projections</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Cumulative precipitation change</title>
<p>During the study period of 2021-2060, the cumulative precipitation during the growing season showed large fluctuations from 292.8&#xa0;mm to 734.3&#xa0;mm under RCP4.5, and from 299.9&#xa0;mm to 808.8&#xa0;mm under RCP8.5. The cumulative precipitation during the growing season was basically below 700 mm, and only exceeded 700&#xa0;mm in 2038 under RCP4.5 and in 2050s under RCP8.5.The average values under RCP4.5 and RCP8.5 were 458.4&#xa0;mm and 479.8&#xa0;mm, respectively (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). Under RCP4.5, there was no significant increasing or decreasing trend in precipitation during the growing season. However, there was an increasing trend under RCP8.5 at a rate of 24.8&#xa0;mm per decade (p&gt;0.05) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Time series of cumulative precipitation during the growing season of soybean from 2021 to 2060 under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g004.tif"/>
</fig>
<p>Compared to the baseline (1986-2005), when the average cumulative precipitation during the growing season was 389.8 mm, the average cumulative precipitation in each decadal period would all increase. They would increase by 18.7%, 15.2%, 11.4% and 19.0% in the 2020s (2021-2030), 2030s (2031-2040), 2040s (2041-2050) and 2050s (2051-2060) under RCP4.5, while under RCP8.5, precipitation would increase by 19.6%, 4.3%, 20.6% and 34.5%, respectively (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Changes in cumulative precipitation during the growing season of soybean in the four periods (2020s, 2030s, 2040s and 2050s) relative to the baseline(1986-2005) under RCP4.5 and RCP8.5 in Fujin city of Heilongjiang province.(The lower and upper boundary lines of the box are the first and third quartiles of the data. Two solid vertical lines indicate the remaining data. Inside the box, the solid black line indicates the median of the data and the dashed black line indicates the mean of the data.).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g005.tif"/>
</fig>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Cumulative solar radiation change</title>
<p>During the study period of 2021-2060, the cumulative solar radiation during the growing season showed an increasing trend under both RCP4.5 at a rate of 32.7 MJ&#xb7;m<sup>-2</sup> per decade (p&gt;0.05) and RCP8.5 at a relatively slower rate of 14.0 MJ&#xb7;m<sup>-2</sup> per decade (p&gt;0.05). The range of cumulative solar radiation fluctuations under RCP8.5 was larger than that under RCP4.5, from 2300.9 MJ&#xb7;m<sup>-2</sup> to 3041.7 MJ&#xb7;m<sup>-2</sup> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Time series of cumulative solar radiation during the growing season of soybean from 2021 to 2060 under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g006.tif"/>
</fig>
<p>Compared to the baseline when the cumulative solar radiation during the growing season was 2766.8 MJ&#xb7;m<sup>-2</sup>, the solar radiation would increase by 1.5%, 2.9%, 3.1% and 5.3% in the 2020s, 2030s, 2040s and 2050s under RCP4.5, while under RCP8.5, they would increase by 0.3%, 0.9%, 0.7% and 1.8%, respectively (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Changes in cumulative solar radiation during the growing season of soybean in the four periods (2020s, 2030s, 2040s and 2050s) relative to the baseline(1986-2005) under RCP4.5 and RCP8.5 in Fujin city of Heilongjiang province.(The lower and upper boundary lines of the box are the first and third quartiles of the data. Two solid vertical lines indicate the remaining data. Inside the box, the solid black line indicates the median of the data and the dashed black line indicates the mean of the data.).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g007.tif"/>
</fig>
</sec>
<sec id="s3_2_3">
<label>3.2.3</label>
<title>Average temperature change</title>
<p>The average temperature during the growing season showed a significant increasing trend from 2021 to 2060 under both RCP4.5 and RCP8.5. The amplitude of the increasing trend under RCP8.5 (0.81 &#xb0;C per decade, p&lt;0.001) was greater than that under RCP4.5 (0.51 &#xb0;C per decade, p&lt;0.001) (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>), due to the higher concentration of greenhouse gas emissions.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Time series of average temperature during the growing season of soybean from 2021 to 2060 under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g008.tif"/>
</fig>
<p>The average temperature during the period of 1986-2005 varied from 16.3 &#xb0;C to 19.9 &#xb0;C, and the projected average temperature would vary from 18.3 &#xb0;C to 21.9 &#xb0;C under RCP4.5 and from 17.8 &#xb0;C to 22.5 &#xb0;C under RCP8.5, respectively, for 2021-2060. Compared to the baseline, the average temperature would gradually increase over timer for the four future decades under both RCP 4.5 and RCP8.5, and the increase in the 2020s, 2030s, 2040s and 2050s under RCP4.5 (RCP 8.5) would be 7.8% (6.1%), 8.3% (9.7%), 10.5% (9.8%), and 16.8% (20.4%), respectively (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>).</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Changes in average temperature during the growing season of soybean in the four periods (2020s, 2030s, 2040s and 2050s) relative to the baseline(1986-2005) under RCP4.5 and RCP8.5 in Fujin city of Heilongjiang province.(The lower and upper boundary lines of the box are the first and third quartiles of the data. Two solid vertical lines indicate the remaining data. Inside the box, the solid black line indicates the median of the data and the dashed black line indicates the mean of the data.).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g009.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Potential impacts of future climate scenarios on soybean yield</title>
<p>According to the IPCC AR5 (<xref ref-type="bibr" rid="B26">IPCC, 2013</xref>), the CO<sub>2</sub> concentrations in the 2020s, 2030s, 2040s and 2050s under RCP4.5 (RCP 8.5) will be 424 ppm (433 ppm), 449 ppm (470 ppm), 475 ppm (517 ppm) and 499 ppm (574 ppm), respectively. Considering the effect of CO<sub>2</sub>, the soybean yield in Fujin city would increase in the future as compared to the base period of 1986-2005, and the relative increase rate under RCP8.5 would be higher than that under RCP4.5 except for the 2030s. Compared to the baseline, the soybean yield would increase by 0.6%, 3.3%, 6.0% and 12.3% in the 2020s, 2030s, 2040s and 2050s under RCP4.5. Moreover, under RCP8.5, the average soybean yield would increase at rates of 7.4%, 5.1%, 16.8% and 20.6%, respectively (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>). The results indicated that future climate change in Fujin city was beneficial to the increase in soybean yield. Furthermore, the increasing rate under RCP8.5 was greater than that under RCP4.5.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Changes in soybean yield during the growing season of soybean in the four periods (2020s, 2030s, 2040s and 2050s) relative to the baseline(1986-2005) under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.(The lower and upper boundary lines of the box are the first and third quartiles of the data. Two solid vertical lines indicate the remaining data. Inside the box, the solid black line indicates the median of the data and the dashed red line indicates the mean of the data.).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g010.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Agronomic management practices</title>
<p>To adapt to the impact of future climate change on crop yield, agronomic management practices are often adopted to achieve yield increase, such as changing crop varieties, adjusting sowing date, supplementary irrigation (<xref ref-type="bibr" rid="B42">Moradi et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B52">Teixeira et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B60">Zabel et&#xa0;al., 2021</xref>). As the temperature increases under future climate conditions, the length of growing season will change, so selecting suitable sowing date could promote the growth and development of soybean. Moreover, due to the large water consumption of soybean growth, we also adopted the method of supplementary irrigation during soybean growth and development to achieve an increase in soybean yield under future climate conditions.</p>
<p>In this study, we used the DSSAT-CROPGRO-Soybean model to evaluate two agronomic management practices that are adjusting sowing date and supplementary irrigation, in order to propose optimal agricultural measures to maximize soybean yield in Fujin under future climate change.</p>
<sec id="s3_4_1">
<label>3.4.1</label>
<title>Adjustment of sowing date</title>
<p>In this paper, we ran crop simulations by adjusting sowing dates at an interval of 5 days from April 30 to June 9 to assess the impact of such adjustments on the soybean yield, in order to determine the optimal sowing date. The results showed that advancing the sowing date is beneficial to the adaptation of soybean production to future climate change in Fujin. As shown in <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>, the sowing date was set on May 10 to achieve the maximum yield under RCP4.5, which would increase by 3.6% relative to the yield at the unadjusted sowing date. Under RCP8.5, the maximum soybean yield would be achieved on the sowing date of May 5, 15 days earlier than the prevailing local sowing date. In addition, the soybean yield would increase by 9.2% relative to that at the unadjusted sowing date.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Changes in the average soybean yield at different sowing dates (from April 30 to June 9, at an interval of 5 days) as compared to the average yield at the unadjusted sowing date (May 20) during the study period of 2021-2060 under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g011.tif"/>
</fig>
<p>From the perspective of decadal analysis, the sowing dates for soybean yield maximization in different decades are different. As shown in <xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12</bold>
</xref>, the optimal sowing dates in the 2020s, 2030s, 2040s and 2050s are May 10 (April 30), May 5 (April 30), April 30 (May 5) and May 10 (May 5) respectively, under RCP4.5 (RCP8.5).</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Changes in the average soybean yield at different sowing dates (from April 30 to June 9, at an interval of 5 days) as compared to the average yield at the unadjusted sowing date (May 20) in the 2020s, 2030s, 2040s and 2050s under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g012.tif"/>
</fig>
</sec>
<sec id="s3_4_2">
<label>3.4.2</label>
<title>Supplemental irrigation</title>
<p>Supplemental irrigation was applied four times in the key stage of soybean growth (flowering and podding period), with an interval of 20 days starting from 20 days before the flowering date. The irrigation amount was set for five levels of 10, 20, 30, 40 and 50&#xa0;mm. We adopted four time supplemental irrigation treatments in the soybean simulation in Fujin. The results showed that during the study period of 2021-2060, the optimal supplemental irrigation amount was 50&#xa0;mm (200&#xa0;mm in total) under RCP4.5 with a potential 28.2% increase in soybean yield as compared to the rain-fed treatment, whereas under RCP8.5, the optimal supplemental irrigation amount was 40&#xa0;mm (160&#xa0;mm in total) with a potential 10.3% increase in soybean yield as compared to the rain-fed treatment (<xref ref-type="fig" rid="f13">
<bold>Figure&#xa0;13</bold>
</xref>). Moreover, the highest increase in soybean yield as compared to the rain-fed treatment was at the irrigation amount of 40 mm (40&#xa0;mm), 50 mm (50&#xa0;mm), 40 mm(10&#xa0;mm) and 50 mm (30&#xa0;mm) in the 2020s, 2030s, 2040s and 2050s, respectively, under RCP4.5 (RCP8.5) (<xref ref-type="fig" rid="f14">
<bold>Figure&#xa0;14</bold>
</xref>).</p>
<fig id="f13" position="float">
<label>Figure&#xa0;13</label>
<caption>
<p>Changes in the average soybean yield at different irrigation amounts (10&#xa0;mm, 20&#xa0;mm, 30&#xa0;mm, 40&#xa0;mm and 50&#xa0;mm) as compared to the rain-fed treatment during the study period of 2021-2060 under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g013.tif"/>
</fig>
<fig id="f14" position="float">
<label>Figure&#xa0;14</label>
<caption>
<p>Changes in the average soybean yield at different irrigation amounts (10&#xa0;mm, 20&#xa0;mm, 30&#xa0;mm, 40&#xa0;mm and 50&#xa0;mm) as compared to the rain-fed treatment in the 2020s, 2030s, 2040s and 2050s under <bold>(A)</bold> RCP4.5 and <bold>(B)</bold> RCP 8.5 in Fujin city of Heilongjiang province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1257830-g014.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>The variation of future climate resources</title>
<p>From the perspective of precipitation, <xref ref-type="bibr" rid="B55">Wu et&#xa0;al. (2019)</xref> pointed out that, by the end of the century, the average precipitation in China would increase by 8% (12%) under RCP4.5 (RCP8.5) relative to the average during the period of 1971-2000, and spatially, precipitation in the north is expected to increase more than that in the south. From the perspective of temperature, <xref ref-type="bibr" rid="B58">You et&#xa0;al. (2014)</xref> predicted that the average temperature in China would increase by 0.29 &#xb0;C per decade (0.43 &#xb0;C per decade) under RCP4.5 (RCP8.5) during 2021-2040. In Northeast China, <xref ref-type="bibr" rid="B9">Chu et&#xa0;al. (2017)</xref> pointed out that the temperature increase rate is expected to be 0.19 &#xb0;C per decade (0.48 &#xb0;C per decade) under RCP4.5 (RCP8.5) during 2005-2099. By the end of this century, precipitation in the growing season generally showed an increasing trend, but the increasing trend was not obvious. <xref ref-type="bibr" rid="B13">Dong et&#xa0;al. (2018)</xref> also pointed out that the Northeast region is expected to experience significant warming under the RCP4.5 scenario during 2020-2050. In this study, we found similar trends in cumulative precipitation and average temperature in soybean growing season during 2021-2060 in Fujin city of Heilongjiang Province in Northeast China.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Effects of future climate conditions on soybean yield</title>
<p>Soybean is a thermophilic crop, and the optimum temperature during the growing season is above 20 &#xb0;C (<xref ref-type="bibr" rid="B19">Hesketh et&#xa0;al., 1973</xref>; <xref ref-type="bibr" rid="B17">Hatfield et&#xa0;al., 2011</xref>). However, Fujin city is located in Northeast China with higher latitude and lower temperature. The average temperature from May to September is lower than 20 &#xb0;C. Therefore, future temperature increases under RCP4.5 and RCP8.5 would promote soybean yield in Fujin. <xref ref-type="bibr" rid="B8">Chen et&#xa0;al. (2012)</xref> studied the relationship between temperature and soybean yield in Northeast China, then found that crop yield increased with the increasing temperature in Northeast China. This suggests that climate warming may be beneficial to future crop production in the study area, which is consistent with the results of this study. At the same time, under the two climate scenarios, the atmospheric CO<sub>2</sub> concentration would increase in the future, which would increase photosynthesis of crop leaves and thus improve crop productivity. This phenomenon is called the &#x201c;CO<sub>2</sub> fertilization effect&#x201d;, which is obvious in C<sub>3</sub> crops (soybean, rice, wheat, etc.) (<xref ref-type="bibr" rid="B31">Kimball et&#xa0;al., 2002</xref>). In addition, under non-stress conditions, when the CO<sub>2</sub> concentration increases by 200 ppm, the yield of C<sub>3</sub> crops would increase by 18% (<xref ref-type="bibr" rid="B1">Ainsworth and Long, 2020</xref>). This may be one of the possible reasons for the increase in soybean yield in the future in Fujin city.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Adjustment of agronomic management practices</title>
<p>Sunshine duration and temperature have a great impact on the length of soybean growth period, and thus affect the yield of soybean. For soybean, the availability of these climatic factors is determined by sowing date. Appropriate adjustment of sowing date can minimize the loss of soybean yield caused by adverse meteorological conditions (<xref ref-type="bibr" rid="B10">Cober and Voldeng, 2001</xref>; <xref ref-type="bibr" rid="B47">Serafin-Andrzejewska et&#xa0;al., 2021</xref>). <xref ref-type="bibr" rid="B61">Zhang et&#xa0;al. (2019)</xref> studied the variation in the irrigation water requirement of soybean under future climate scenarios (RCP2.6, RCP4.5 and RCP8.5), and found that with the increase in future temperature and CO<sub>2</sub> concentration, the soybean planted may have lower nutrients, which would increase the amount of water needed for soybean to produce the required calories, so supplementary irrigation at the critical stage of soybean growth may increase soybean yield. Therefore, in order to make the growth of soybean in Fujin city adapt to the future climatic conditions and achieve higher yield, it is necessary to adjust the agronomic management practices, including adjusting sowing date and supplementing irrigation in the key stage of soybean growth.</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>DSSAT-CROPGRO-soybean model</title>
<p>According to previous studies, the DSSAT model can be used for a wide range of purposes, for example, simulating crop yields under future climate change, such as maize, wheat, soybean and other crops (<xref ref-type="bibr" rid="B6">Boote et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B3">Bai and Gao, 2021</xref>); evaluating the impacts of management practices, such as adjusting sowing date and irrigation amount on crop yield (<xref ref-type="bibr" rid="B5">Banterng et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B53">Wang et&#xa0;al., 2020</xref>). Moreover, the CROPGRO-Soybean model has been widely used to simulate the growth and development of soybean and explore the impacts of management practices on soybean yield (<xref ref-type="bibr" rid="B45">Ruiz-Nogueira et&#xa0;al., 2001</xref>). However, the application of the DSSAT-CROPGRO-Soybean model in Northeast China, which is the main soybean production area in China, has rarely been reported. Our case study in Fujin city is a pioneer to adopt this model to simulate the soybean yield under future climate change and investigate the impacts of different agronomic measures on soybean yield, which has some practical guiding significance.</p>
</sec>
<sec id="s4_5">
<label>4.5</label>
<title>Limitations and prospects of the study</title>
<p>However, there are some limitations of the results in this study. First, our case study was limited to one experimental station in Fujin city. To expand the research to the entire Northeast China and even the whole country, more experimental stations would need to be involved. Second, there were few schemes to explore better agronomic management practices for the future climate change. In summary, future studies on the impacts of future climate change on soybean yield should focus on the following: 1) collecting crop data from multiple experimental stations to expand the research to the entire Northeast China and even the whole country; 2) testing out more relevant agronomic management practices; 3) the experiment time in this paper was short, and more experimental data are needed in the future to improve the accuracy of the model; 4) we only used the DSSAT model in this study, and more models could be applied and compared to simulate the impacts of future climate change on soybean yield in the future; and 5) in this study, only a single soybean crop variety was studied. Future research could involve multiple soybean varieties to assess their adaptability to future climate change and determine the best soybean varieties to adapt to future climate change.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this study, we used the DSSAT-CROPGRO-Soybean model to simulate the changes in soybean yield under two future climate scenarios (RCP4.5 and RCP8.5) during the period of 2021-2060 in Fujin city of Heilongjiang Province, and evaluated the impacts of different agronomic management practices such as adjustment of sowing date and supplemental irrigation on soybean yield under future climate change conditions to determine the best agronomic management practice to adapt to future climate change.</p>
<p>The results showed that the cumulative solar radiation and average temperature during the growth period of soybean from 2021 to 2060 in Fujin city showed an increasing trend under RCP4.5 and RCP8.5, and average temperature was expected to significantly increase at the rate of 0.5 &#xb0;C per decade (0.8 &#xb0;C per decade) under RCP4.5 (RCP8.5). The cumulative precipitation during the soybean growing season in Fujin city was expected to fluctuate greatly with no obvious trend during 2021-2060. Compared to the baseline (1986-2005), these three meteorological elements would increase in the next four decades. In addition, the soybean yield in Fujin city would increase by 5.0% (12.0%), 8.3% (3.3%), 11.5% (24.3%) and 17.2% (25.8%) in the 2020s, 2030s, 2040s and 2050s relative to the baseline (1986-2005) under RCP4.5 (RCP8.5). Moreover, under RCP4.5 (RCP8.5), the optimal sowing date of May 10 (May 5) and the optimal supplemental irrigation amount of 50&#xa0;mm (40 mm),which would result in an increase in soybean yield by 3.6% (9.2%) and 28.2% (10.3%), respectively. These results provide a scientific basis for farmers from the perspective of tackling future climate change and ensuring yields, but these measures have timeliness, therefore, we suggest paying continuous attention to the adjustment of agronomic management practices in the future, and cultivating new varieties, in order to achieve a high and stable soybean yield in Heilongjiang province.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>YL: Conceptualization, Formal Analysis, Methodology, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Resources. JC: Formal Analysis, Methodology, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Resources. XG: Conceptualization, Methodology, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Resources. LZ: Data curation, Writing &#x2013; review &amp; editing. LW: Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. CR: Supervision, Validation, 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 supported by the National Key Research and Development Program of China (2019YFD1002204).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We thank Mingyu Li for helping with the DSSAT model. The authors are grateful to the editors and reviewers for their constructive comments to improve the manuscript.</p>
</ack>
<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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ainsworth</surname> <given-names>E. A.</given-names>
</name>
<name>
<surname>Long</surname> <given-names>S. P.</given-names></name>
</person-group> (<year>2020</year>). <article-title>30 years of free-air carbon dioxide enrichment (FACE): What have we learned about future crop productivity and its potential for adaptation</article-title>? <source>Global Change Biol.</source> <volume>27</volume> (<issue>1</issue>), <fpage>27</fpage>&#x2013;<lpage>49</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/gcb.15375</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Allan</surname> <given-names>R. G.</given-names>
</name>
<name>
<surname>Pereira</surname> <given-names>L. S.</given-names>
</name>
<name>
<surname>Raes</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Smith</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>1998</year>). <source>Crop evapotranspiration-guidelines for computing crop water requirements-FAO Irrigation and drainage paper 56</source> (<publisher-loc>Rome</publisher-loc>: <publisher-name>FAO</publisher-name>).</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bai</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Gao</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Optimization of the nitrogen fertilizer schedule of maize under drip irrigation in Jilin, China, based on DSSAT and GA</article-title>. <source>Agric. Water Manage.</source> <volume>244</volume>, <elocation-id>106555</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2020.106555</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Baldos</surname> <given-names>U. L. C.</given-names>
</name>
<name>
<surname>Fuglie</surname> <given-names>K. O.</given-names>
</name>
<name>
<surname>Hertel</surname> <given-names>T. W.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The research cost of adapting agriculture to climate change: A global analysis to 2050</article-title>. <source>Agric. Econ.</source> <volume>51</volume> (<issue>2</issue>), <fpage>207</fpage>&#x2013;<lpage>220</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/agec.12550</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Banterng</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Hoogenboom</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Patanothai</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Singh</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Wani</surname> <given-names>S. P.</given-names>
</name>
<name>
<surname>Pathak</surname> <given-names>P.</given-names>
</name>
<etal/>
</person-group>. (<year>2010</year>). <article-title>Application of the cropping system model (CSM)-CROPGRO-Soybean for determining optimum management strategies for soybean in tropical environments</article-title>. <source>J. Agron. Crop Sci.</source> <volume>196</volume> (<issue>3</issue>), <fpage>231</fpage>&#x2013;<lpage>242</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/j.1439-037X.2009.00408.x</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Prasad</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Allen</surname> <given-names>L. H.</given-names>
</name>
<name>
<surname>Singh</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Jones</surname> <given-names>J. W.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Modeling sensitivity of grain yield to elevated temperature in the DSSAT crop models for peanut, soybean, dry bean, chickpea, sorghum, and millet</article-title>. <source>Eur. J. Agron.</source> <volume>100</volume>, <fpage>99</fpage>&#x2013;<lpage>109</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.eja.2017.09.002</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cai</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Yin</surname> <given-names>X.</given-names>
</name>
<name>
<surname>He</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Jiang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Si</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Struik</surname> <given-names>P. C.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Responses of wheat and rice to factorial combinations of ambient and elevated CO<sub>2</sub> and temperature in FACE experiments</article-title>. <source>Global Change Biol.</source> <volume>22</volume> (<issue>2</issue>), <fpage>856</fpage>&#x2013;<lpage>874</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/gcb.13065</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Qian</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Deng</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Progressive and active adaptations of cropping system to climate change in Northeast China</article-title>. <source>Eur. J. Agron.</source> <volume>38</volume>, <fpage>94</fpage>&#x2013;<lpage>103</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.eja.2011.07.003</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chu</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Guo</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Impacts of future climate change on agroclimatic resources in Northeast China</article-title>. <source>J. Geog. Sci.</source> <volume>27</volume> (<issue>9</issue>), <fpage>1044</fpage>&#x2013;<lpage>1058</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11442-017-1420-6</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cober</surname> <given-names>E. R.</given-names>
</name>
<name>
<surname>Voldeng</surname> <given-names>H. D.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>A new soybean maturity and photoperiod-sensitivity locus linked to E1 and T</article-title>. <source>Crop Sci.</source> <volume>41</volume> (<issue>3</issue>), <fpage>698</fpage>&#x2013;<lpage>701</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2135/cropsci2001.413698x</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Darwin</surname> <given-names>R. F.</given-names>
</name>
<name>
<surname>Tsigas</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Lewandrowski</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Raneses</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>1995</year>). <source>World agriculture and climate change: economic adaptations</source> (<publisher-loc>America, Washington</publisher-loc>: <publisher-name>Agricultural Economic Report, No. 703, U.S. Department of Agriculture</publisher-name>).</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ding</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Zhuang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Luo</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Adaptation of paddy rice in China to climate change: The effects of shifting sowing date on yield and irrigation water requirement</article-title>. <source>Agric. Water Manage.</source> <volume>228</volume>, <elocation-id>105890</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2019.105890</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dong</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Tian</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Estimation of drought change trends in Northeast China in 2020-2050 and its impact on maize yield</article-title>. <source>J. Geosci. Environ. Prot.</source> <volume>6</volume> (<issue>12</issue>), <fpage>185</fpage>&#x2013;<lpage>201</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.4236/gep.2018.612016</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fernandes</surname> <given-names>R. D. M.</given-names>
</name>
<name>
<surname>Melo</surname> <given-names>D. D.</given-names>
</name>
<name>
<surname>Elli</surname> <given-names>E. F.</given-names>
</name>
<name>
<surname>Battisti</surname> <given-names>R.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Climate change impacts on rainfed and irrigated soybean yield in Brazil&#x2019;s new agricultural frontier</article-title>. <source>Theor. Appl. Climatol.</source> <volume>147</volume>, <fpage>803</fpage>&#x2013;<lpage>816</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/S00704-021-03865-W</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Lin</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Mo</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>C.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Responses of crop yield and water use efficiency to climate change in the North China Plain</article-title>. <source>Agric. Water Manage.</source> <volume>97</volume> (<issue>8</issue>), <fpage>1185</fpage>&#x2013;<lpage>1194</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2009.07.006</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hasan</surname> <given-names>M. M.</given-names>
</name>
<name>
<surname>Rahman</surname> <given-names>M. M.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Simulating climate change impacts on T. aman (BR-22) rice yield: a predictive approach using DSSAT model</article-title>. <source>Water Environ. J.</source> <volume>34</volume>, <fpage>250</fpage>&#x2013;<lpage>262</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/wej.12523</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hatfield</surname> <given-names>J. L.</given-names>
</name>
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Kimball</surname> <given-names>B. A.</given-names>
</name>
<name>
<surname>Ziska</surname> <given-names>L. H.</given-names>
</name>
<name>
<surname>Izaurralde</surname> <given-names>R. C.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Climate impacts on agriculture: Implications for crop production</article-title>. <source>Agron. J.</source> <volume>103</volume>, <fpage>351</fpage>&#x2013;<lpage>370</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2134/agronj2010.0303</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>He</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Yao</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2013</year>). <article-title>Spatializing growth suitability for spring soybean cultivation in Northeast China</article-title>. <source>J. Appl. Meteorol. Climatol.</source> <volume>52</volume> (<issue>4</issue>), <fpage>773</fpage>&#x2013;<lpage>783</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/JAMC-D-11-0259.1</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hesketh</surname> <given-names>J. D.</given-names>
</name>
<name>
<surname>Myhre</surname> <given-names>D. L.</given-names>
</name>
<name>
<surname>Willey</surname> <given-names>C. R.</given-names>
</name>
</person-group> (<year>1973</year>). <article-title>Temperature control of time intervals between vegetative and reproductive events in soybeans</article-title>. <source>Crop Sci.</source> <volume>13</volume> (<issue>2</issue>), <fpage>250</fpage>&#x2013;<lpage>254</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2135/cropsci1973.0011183x001300020030x</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Hoogenboom</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Porter</surname> <given-names>C. H.</given-names>
</name>
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Shelia</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Wilkens</surname> <given-names>P. W.</given-names>
</name>
<name>
<surname>Singh</surname> <given-names>U.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). &#x201c;<article-title>The DSSAT crop modeling ecosystem</article-title>,&#x201d; in <source>Advances in crop modeling for a sustainable agriculture</source>. Ed. <person-group person-group-type="editor">
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
</person-group> (<publisher-loc>Cambridge, United Kingdom</publisher-loc>: <publisher-name>Burleigh Dodds SciencePublishing</publisher-name>), <fpage>173</fpage>&#x2013;<lpage>216</lpage>.</citation>
</ref>
<ref id="B21">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Hoogenboom</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Porter</surname> <given-names>C. H.</given-names>
</name>
<name>
<surname>Shelia</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Singh</surname> <given-names>U.</given-names>
</name>
<name>
<surname>White</surname> <given-names>J. W.</given-names>
</name>
<etal/>
</person-group>. (<year>2017</year>). <source>Decision Support System for Agrotechnology Transfer (DSSAT) version 4.7.0.0</source> (<publisher-loc>Gainesville, Florida, USA</publisher-loc>: <publisher-name>DSSAT Foundation</publisher-name>). Available at: <uri xlink:href="https://DSSAT.net">https://DSSAT.net</uri>.</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Humphreys</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Gaydon</surname> <given-names>D. S.</given-names>
</name>
<name>
<surname>Eberbach</surname> <given-names>P. L.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Evaluation of the effects of mulch on optimum sowing date and irrigation management of zero till wheat in central Punjab, India using APSIM</article-title>. <source>Field Crops Res.</source> <volume>197</volume>, <fpage>83</fpage>&#x2013;<lpage>96</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.fcr.2016.08.016</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="book">
<person-group person-group-type="author">
<collab>IPCC</collab>
</person-group> (<year>2013</year>). <source>Summary for policymakers. In climate change 2013: the physical science basis. Contribution of working group I to the fifth assessment report of the intergovernmental panel on climate change</source> (<publisher-loc>Cambridge, U.K. and New York</publisher-loc>: <publisher-name>Cambridge Univ. Press</publisher-name>).</citation>
</ref>
<ref id="B24">
<citation citation-type="book">
<person-group person-group-type="author">
<collab>IPCC</collab>
</person-group> (<year>2021</year>). <source>Summary for policymakers, in climate change 2021: the physical science basis, contribution of working group I to the sixth assessment report of the intergovernmental panel on climate change</source> (<publisher-loc>Cambridge, U.K. and New York</publisher-loc>: <publisher-name>Cambridge Univ. Press</publisher-name>).</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jones</surname> <given-names>J. W.</given-names>
</name>
<name>
<surname>He</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Wilkens</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>Z.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Estimating DSSAT cropping system cultivar-specific parameters using bayesian techniques</article-title>. in <source>Methods of Introducing System Models into Agricultural Research</source> 365-393. doi: <pub-id pub-id-type="doi">10.2134/advagricsystmodel2.c13</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jones</surname> <given-names>J. W.</given-names>
</name>
<name>
<surname>Hoogenboom</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Porter</surname> <given-names>C. H.</given-names>
</name>
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Batchelor</surname> <given-names>W. D.</given-names>
</name>
<name>
<surname>Hunt</surname> <given-names>L. A.</given-names>
</name>
<etal/>
</person-group>. (<year>2003</year>). <article-title>The DSSAT cropping system model</article-title>. <source>Eur. J. Agron.</source> <volume>18</volume> (<issue>3-4</issue>), <fpage>235</fpage>&#x2013;<lpage>265</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S1161-0301(02)00107-7</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>J&#xfa;nior</surname> <given-names>R. S. N.</given-names>
</name>
<name>
<surname>Sentelhas</surname> <given-names>P. C.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Soybean-maize succession in Brazil: Impacts of sowing dates on climate variability, yields and economic profitability</article-title>. <source>Eur. J. Agron.</source> <volume>103</volume>, <fpage>140</fpage>&#x2013;<lpage>151</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.eja.2018.12.008</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kassaye</surname> <given-names>A. Y.</given-names>
</name>
<name>
<surname>Shao</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Shifaw</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Impact of climate change on the staple food crops yield in Ethiopia: implications for food security</article-title>. <source>Theor. Appl. Climatol.</source> <volume>145</volume> (<issue>1</issue>), <fpage>327</fpage>&#x2013;<lpage>343</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s00704-021-03635-8</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Khiem</surname> <given-names>M. V.</given-names>
</name>
<name>
<surname>Redmond</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Mcsweeney</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Thuc</surname> <given-names>T.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Evaluation of dynamically downscaled ensemble climate simulations for Vietnam</article-title>. <source>Int. J. Climatol.</source> <volume>34</volume>, <fpage>2450</fpage>&#x2013;<lpage>2463</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/joc.3851</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname> <given-names>D. H.</given-names>
</name>
<name>
<surname>Jang</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Hwang</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Jeong</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Paddy rice adaptation strategies to climate change: Transplanting date shift and BMP applications</article-title>. <source>Agric. Water Manage.</source> <volume>252</volume>, <elocation-id>106926</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/J.AGWAT.2021.106926</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kimball</surname> <given-names>B. A.</given-names>
</name>
<name>
<surname>Kobayashi</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Bindi</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Responses of agricultural crops to free-air CO<sub>2</sub> enrichment</article-title>. <source>Adv. Agron.</source> <volume>77</volume>, <fpage>293</fpage>&#x2013;<lpage>368</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0065-2113(02)77017-X</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Klein</surname> <given-names>H. S.</given-names>
</name>
<name>
<surname>Luna</surname> <given-names>F. V.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>The growth of the soybean frontier in south America: the case of Brazil and Argentina</article-title>. <source>Rev. Hist Econ.</source> <volume>39</volume> (<issue>3</issue>), <fpage>427</fpage>&#x2013;<lpage>468</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1017/S0212610920000269</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Esker</surname> <given-names>P. D.</given-names>
</name>
<name>
<surname>Pan</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Dias</surname> <given-names>A. P.</given-names>
</name>
<name>
<surname>Xue</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>X. B.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>The uniqueness of the soybean rust pathosystem: an improved understanding of the risk in different regions of the world</article-title>. <source>Plant Dis.</source> <volume>94</volume> (<issue>7</issue>), <fpage>796</fpage>&#x2013;<lpage>806</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1094/PDIS-94-7-0796</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Batchelor</surname> <given-names>W. D.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Wan</surname> <given-names>N.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>A case study of climate-smart management in foxtail millet (Setaria italica) production under future climate change in Lishu county of Jilin, China</article-title>. <source>Agric. For. Meteorol.</source> <volume>292</volume>, <fpage>108301</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agrformet.2020.108131</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lukali</surname> <given-names>A. A.</given-names>
</name>
<name>
<surname>Osima</surname> <given-names>S. E.</given-names>
</name>
<name>
<surname>Lou</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Kai</surname> <given-names>K. H.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Assessing the impacts of climate change and variability on maize (Zea mays) yield over Tanzania</article-title>. <source>Clim. Atmos. Sci.</source> <volume>11</volume> (<issue>3</issue>), <fpage>569</fpage>&#x2013;<lpage>588</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.4236/ACS.2021.113035</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Martins</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Tomasella</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Dias</surname> <given-names>C. G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Maize yield under a changing climate in the Brazilian Northeast: impacts and adaptation</article-title>. <source>Agric. Water Manage.</source> <volume>216</volume>, <fpage>339</fpage>&#x2013;<lpage>350</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2019.02.011</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Massey</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Jones</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Otto</surname> <given-names>F. E. L.</given-names>
</name>
<name>
<surname>Aina</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Wilson</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Murphy</surname> <given-names>J. M.</given-names>
</name>
<etal/>
</person-group>. (<year>2015</year>). <article-title>Weather@home-development and validation of a very large ensemble modelling system for probabilistic event attribution</article-title>. <source>Quart. J. R. Meteor. Soc</source> <volume>141</volume> (<issue>690</issue>), <fpage>1528</fpage>&#x2013;<lpage>1545</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/qj.2455</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Masuda</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Goldsmithe</surname> <given-names>P. D.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>World soybean production: area harvested, yield, and long-term projections</article-title>. <source>Int. Food Agribus Man.</source> <volume>12</volume> (<issue>4</issue>), <fpage>143</fpage>&#x2013;<lpage>161</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.22004/ag.econ.92573</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Meng</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Feng</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>W.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Analyses of observed features and future trend of extreme temperature events in Inner Mongolia of China</article-title>. <source>Theor. Appl. Climatol.</source> <volume>139</volume>, <fpage>577</fpage>&#x2013;<lpage>597</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s00704-019-02969-8</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mohammed</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Tana</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Singh</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Molla</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Seid</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Identifying best crop management practices for chickpea (Cicer arietinum L.) in Northeastern Ethiopia under climate change condition</article-title>. <source>Agric. Water Manage.</source> <volume>194</volume>, <fpage>68</fpage>&#x2013;<lpage>77</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2017.08.022</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mohanty</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Reddy</surname> <given-names>K. S.</given-names>
</name>
<name>
<surname>Probert</surname> <given-names>M. E.</given-names>
</name>
<name>
<surname>Dalal</surname> <given-names>R. C.</given-names>
</name>
<name>
<surname>Sinha</surname> <given-names>N. K.</given-names>
</name>
<name>
<surname>Rao</surname> <given-names>A. S.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Efficient nitrogen and water management for the soybean-wheat system of Madhya Pradesh, central India, assessed using APSIM model</article-title>. <source>Proc. Natl. Acad. Sci. India Sect. B: Biol. Sci.</source> <volume>86</volume> (<issue>1</issue>), <fpage>217</fpage>&#x2013;<lpage>228</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s40011-014-0443-3</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moradi</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Koocheki</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Mahallati</surname> <given-names>M. N.</given-names>
</name>
<name>
<surname>Mansoori</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Adaptation strategies for maize cultivation under climate change in Iran: irrigation and planting date management</article-title>. <source>Mitig. Adapt. Strat. Global Change.</source> <volume>18</volume> (<issue>2</issue>), <fpage>265</fpage>&#x2013;<lpage>284</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11027-012-9410-6</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ray</surname> <given-names>D. K.</given-names>
</name>
<name>
<surname>Gerber</surname> <given-names>J. S.</given-names>
</name>
<name>
<surname>MacDonald</surname> <given-names>G. K.</given-names>
</name>
<name>
<surname>West</surname> <given-names>P. C.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Climate variation explains a third of global crop yield variability</article-title>. <source>Nat. Commun.</source> <volume>6</volume> (<issue>1</issue>), <fpage>59</fpage>&#x2013;<lpage>89</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/ncomms6989</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rugira</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Zheng</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>E.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Application of DSSAT CERES-Maize to identify the optimum irrigation management and sowing dates on improving maize yield in Northern China</article-title>. <source>Agronomy</source> <volume>11</volume> (<issue>4</issue>), <elocation-id>674</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/AGRONOMY11040674</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ruiz-Nogueira</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Boote</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Sau</surname> <given-names>F.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Calibration and use of CROPGRO-soybean model for improving soybean management under rainfed conditions</article-title>. <source>Agric. Syst.</source> <volume>68</volume> (<issue>2</issue>), <fpage>151</fpage>&#x2013;<lpage>173</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0308-521X(01)00008-7</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saddique</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Ajaz</surname> <given-names>A.</given-names>
</name>
<name>
<surname>He</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>Q.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Analyzing adaptation strategies for maize production under future climate change in Guanzhong Plain, China</article-title>. <source>Mitig. Adapt. Strat. Global Change.</source> <volume>25</volume> (<issue>8</issue>), <fpage>1</fpage>&#x2013;<lpage>21</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11027-020-09935-0</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Serafin-Andrzejewska</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Helios</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Jama-Rodze&#x144;ska</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Kozak</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Kotecki</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Kuchar</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Effect of sowing date on soybean development in South-Western Poland</article-title>. <source>Agriculture</source> <volume>11</volume> (<issue>5</issue>), <fpage>413</fpage>&#x2013;<lpage>424</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/AGRICULTURE11050413</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shi</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Tao</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Z.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>A review on statistical models for identifying climate contributions to crop yields</article-title>. <source>J. Geog. Sci.</source> <volume>23</volume> (<issue>3</issue>), <fpage>567</fpage>&#x2013;<lpage>576</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11442-013-1029-3</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tao</surname> <given-names>F. L.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>S.</given-names>
</name>
<name>
<surname>R&#xf6;tter</surname> <given-names>R. P.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>W. J.</given-names>
</name>
<name>
<surname>Xiao</surname> <given-names>D. P.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Historical data provide new insights into response and adaptation of maize production systems to climate change/variability in China</article-title>. <source>Field Crops Res.</source> <volume>185</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.fcr.2015.10.013</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tari</surname> <given-names>D. B.</given-names>
</name>
<name>
<surname>Amiri</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Daneshian</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Simulating the impact of nitrogen management on rice yield and nitrogen uptake in irrigated lowland by ORYZA2000 Model</article-title>. <source>Commun. Soil Sci. Plant Anal.</source> <volume>48</volume> (<issue>2</issue>), <fpage>201</fpage>&#x2013;<lpage>213</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/00103624.2016.1254234</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Taylor</surname> <given-names>K. E.</given-names>
</name>
<name>
<surname>Stouffer</surname> <given-names>R. J.</given-names>
</name>
<name>
<surname>Meehl</surname> <given-names>G. A.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>An overview of CMIP5 and the experimentdesign</article-title>. <source>Bull. Amer. Meteorol. Soc</source> <volume>93</volume>, <fpage>485</fpage>&#x2013;<lpage>498</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1175/BAMS-D-11-00094.1</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Teixeira</surname> <given-names>E. I.</given-names>
</name>
<name>
<surname>Ruiter</surname> <given-names>J. D.</given-names>
</name>
<name>
<surname>Ausseil</surname> <given-names>A. G.</given-names>
</name>
<name>
<surname>Daigneault</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Johnstone</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Holmes</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>2018</year>). <article-title>Adapting crop rotations to climate change in regional impact modelling assessments.Sci</article-title>. <source>Total Environ.</source> <volume>616-617</volume>, <fpage>785</fpage>&#x2013;<lpage>795</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.scitotenv.2017.10.247</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Feng</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Cheng</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Yan</surname> <given-names>J.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Assessment of genotypes and management strategies to improve resilience of winter wheat production</article-title>. <source>Sustainability</source> <volume>12</volume> (<issue>4</issue>), <elocation-id>1474</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/su12041474</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Ding</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhu</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Adaptation of winter wheat varieties and irrigation patterns under future climate change conditions in Northern China</article-title>. <source>Agric. Water Manage.</source> <volume>243</volume>, <elocation-id>106409</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2020.106409</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>S. Y.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Wen</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Future changes in precipitation characteristics in China</article-title>. <source>Int. J. Climatol.</source> <volume>39</volume> (<issue>8</issue>), <fpage>3558</fpage>&#x2013;<lpage>3573</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/joc.6038</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiao</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Feng</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Bai</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Tang</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Climate change impact on yields and water use of wheat and maize in the North China Plain under future climate change scenarios</article-title>. <source>Agric. Water Manage.</source> <volume>238</volume> (<issue>106238</issue>), <fpage>1</fpage>&#x2013;<lpage>15</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2020.106238</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Lin</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Lin</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Dong</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Jones</surname> <given-names>R.</given-names>
</name>
<etal/>
</person-group>. (<year>2006</year>). <article-title>Analyses on the climate change responses over China under SRES B2 scenario using PRECIS</article-title>. <source>Chin. Sci. Bull.</source> <volume>51</volume> (<issue>18</issue>), <fpage>2260</fpage>&#x2013;<lpage>2267</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11434-006-2099-8</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>You</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Min</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Fraedrich</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Kang</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>L.</given-names>
</name>
<etal/>
</person-group>. (<year>2014</year>). <article-title>Projected trends in mean, maximum, and minimum surface temperature in China from simulations</article-title>. <source>Global Planet. Change.</source> <volume>112</volume>, <fpage>53</fpage>&#x2013;<lpage>63</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.16/j.gloplacha.2013.11.006</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>You</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Rosegrant</surname> <given-names>M. W.</given-names>
</name>
<name>
<surname>Wood</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Sun</surname> <given-names>D.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Impact of growing season temperature on wheat productivity in China</article-title>. <source>Agric. For. Meteorol.</source> <volume>149</volume> (<issue>6</issue>), <fpage>1009</fpage>&#x2013;<lpage>1014</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agrformet.2008.12.004</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zabel</surname> <given-names>F.</given-names>
</name>
<name>
<surname>M&#xfc;ller</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Elliott</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Minoli</surname> <given-names>S.</given-names>
</name>
<name>
<surname>J&#xe4;germeyr</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Schneider</surname> <given-names>J. M.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Large potential for crop production adaptation depends on available future varieties</article-title>. <source>Global Change Biol.</source> <volume>27</volume> (<issue>16</issue>), <fpage>3870</fpage>&#x2013;<lpage>3882</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/GCB.15649</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Niu</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effects of temperature, precipitation and carbon dioxide concentrations on the requirements for crop irrigation water in China under future climate scenarios</article-title>. <source>Sci. Total Environ.</source> <volume>656</volume>, <fpage>373</fpage>&#x2013;<lpage>387</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.scitotenv.2018.11.362</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Lv</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Dai</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Variations in the potential climatic suitability distribution patterns and grain yields for spring maize in Northeast China under climate change</article-title>. <source>Clim. Change.</source> <volume>137</volume> (<issue>1</issue>), <fpage>29</fpage>&#x2013;<lpage>42</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s10584-016-1652-y</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Potential impact of future climate change on crop yield in northeastern China</article-title>. <source>Adv. Atmos. Sci.</source> <volume>32</volume> (<issue>7</issue>), <fpage>889</fpage>&#x2013;<lpage>897</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s00376-014-4161-9</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zilli</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Scarabello</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Soterroni</surname> <given-names>A. C.</given-names>
</name>
<name>
<surname>Valin</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Mosnier</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Leclere</surname> <given-names>D.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>The impact of climate change on Brazil's agriculture</article-title>. <source>Sci. Total Environ.</source> <volume>740</volume>, <elocation-id>139384</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.scitotenv.2020.139384</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>