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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2025.1487907</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Divergent response of grassland aboveground net primary productivity and precipitation utilization efficiency to altered precipitation patterns by process-based model</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Cheng</surname>
<given-names>Chen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2199764"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Lu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2755495"/>
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<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Hongyan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Liang</surname>
<given-names>Boyi</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Xinrong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Feiyun</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2357454"/>
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<aff id="aff1">
<sup>1</sup>
<institution>College of Ecology, Lishui University</institution>, <addr-line>Lishui</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>China Meteorological Administration Training Center</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>College of Urban and Environmental Science, Peking University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>College of Forestry, Beijing Forestry University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Georgios Koubouris, Hellenic Agricultural Organization DEMETER, Greece</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Tsegaye Gemechu Legesse, Chinese Academy of Agricultural Sciences (CAAS), China</p>
<p>J&#xfc;rgen Knauer, Western Sydney University, Australia</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Lu Wu, <email xlink:href="mailto:wulu@pku.edu.cn">wulu@pku.edu.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1487907</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>01</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Cheng, Wu, Liu, Liang, Zhu and Yang</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Cheng, Wu, Liu, Liang, Zhu and Yang</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>The functioning of ecosystem services in water-limited grassland ecosystems is significantly influenced by precipitation characteristics. This study aims to quantitatively assess the impact of different precipitation scenarios on grassland productivity using the APSIM model. Historical weather data from 1968 to 2017 and observational data from three types of steppes (meadow, typical, and desert steppe) in Inner Mongolia Autonomous Region from 2004 to 2010 were collected to determine key crop variety parameters for the APSIM model. The effects of annual precipitation, seasonal precipitation, and inter-growing season precipitation variability on aboveground net primary production (ANPP) and precipitation utilization efficiency (PUE) in different types of steppes were investigated by scenario simulation by validated model. The simulated ANPP shows distinctive responses to the changed rainfall characteristics, where the influence of precipitation decreasing is more evident than precipitation increasing by the same precipitation change. Regarding steppe types, the typical steppe responded more strongly to increased precipitation, while decreased precipitation led to higher decline in ANPP for desert steppe. Precipitation during growing seasons caused more significant change than dormancy seasons regarding ANPP, however, PUE show the opposite trend, indicating the contribution of unit level precipitation changes to productivity is significant during dormancy seasons. The effect of changing precipitation during middle growing season outweighed that of late growing season and early growing season, and the positive effect of increasing precipitation were more pronounced in typical steppe and desert steppe if facing early growing season precipitation increase in the future. The research results provide a theoretical basis and technical support for optimizing grassland production management.</p>
</abstract>
<kwd-group>
<kwd>aboveground net primary production</kwd>
<kwd>APSIM model</kwd>
<kwd>grassland</kwd>
<kwd>Inner Mongolia Autonomous Region</kwd>
<kwd>precipitation</kwd>
<kwd>precipitation utilization efficiency</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="3"/>
<equation-count count="2"/>
<ref-count count="53"/>
<page-count count="14"/>
<word-count count="6807"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Functional Plant Ecology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Grassland, as an important component of terrestrial ecosystems, accounts for approximately 70% of the world&#x2019;s available agricultural production area (<xref ref-type="bibr" rid="B30">Mo et&#xa0;al., 2012</xref>). China has a natural usable grassland area of 331 million hectares, of which alpine meadows have the largest area, about 59 million hectares, accounting for 17% of the total area (<xref ref-type="bibr" rid="B30">Mo et&#xa0;al., 2012</xref>). Next are temperate steppe, alpine steppe, and temperate desert steppe, all accounting for about 10% of the total grassland area in China (<xref ref-type="bibr" rid="B41">Tian et&#xa0;al., 2020</xref>). Semi-arid steppe is a major type of terrestrial ecosystem worldwide, with an area of approximately 9.1&#xd7;10<sup>6</sup> km<sup>2</sup> (<xref ref-type="bibr" rid="B26">Liu M. et&#xa0;al., 2017</xref>). Except for an increase in the area of typical steppe, the area of other grassland types has decreased (<xref ref-type="bibr" rid="B53">Zhu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B41">Tian et&#xa0;al., 2020</xref>). Currently, the functioning of grassland ecosystems is influenced by climate change, which can lead to changes in biological habitats and even a reduction in global biodiversity (<xref ref-type="bibr" rid="B34">Qie et&#xa0;al., 2019</xref>). The ecological service functions of grassland ecosystems are particularly affected by precipitation characteristics in water-limited grassland ecosystems, which is more pronounced (<xref ref-type="bibr" rid="B31">Petrie et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B51">Zhang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B36">Ru et&#xa0;al., 2022</xref>). It is urgent to assess the impact of different precipitation scenarios on grassland productivity.</p>
<p>Precipitation characteristics, such as precipitation pulse, precipitation intensity, precipitation duration, and precipitation frequency, have important effects on grassland productivity (<xref ref-type="bibr" rid="B12">Guan et&#xa0;al., 2018</xref>). <xref ref-type="bibr" rid="B13">Guo et&#xa0;al. (2015)</xref> explored the impact of different precipitation scenarios on gross primary productivity (GPP) of alpine meadows using eddy covariance technology, and found that precipitation intensity and precipitation duration are the main meteorological factors affecting GPP. <xref ref-type="bibr" rid="B18">Hoover and Rogers (2016)</xref> studied the impact of interannual precipitation on ecosystem carbon storage and cycling, and found that short-term episodic droughts are more likely to cause carbon loss than long-term continuous droughts. <xref ref-type="bibr" rid="B1">Andrew et&#xa0;al. (2020)</xref> found that increasing precipitation during the dry growing season reduces precipitation utilization efficiency (PUE) and aboveground net primary productivity (ANPP) by eliminating the temporal variation of extreme climate season precipitation. However, few studies have focused on the impact of precipitation on grassland productivity for intra-seasons, e.g. during the mid-late growing season, which plays a crucial role in controlling carbon and nitrogen cycling and biological interactions (<xref ref-type="bibr" rid="B25">Li P. et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B49">Yuan and Yang, 2021</xref>).</p>
<p>As precipitation can affect soil water content and subsequently influence vegetation phenology and growth cycles, extreme precipitation in arid grassland areas has a greater impact on grassland productivity than extreme temperature (<xref ref-type="bibr" rid="B21">Iturrate-Garcia et&#xa0;al., 2016</xref>). Although increased precipitation can alleviate the pressure of terrestrial water storage, promote water infiltration, and prevent premature wilting of grassland vegetation (<xref ref-type="bibr" rid="B26">Liu M. et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B14">Hao et&#xa0;al., 2017</xref>), they may also increase grassland ecosystem respiration consumption and surface runoff (<xref ref-type="bibr" rid="B13">Guo et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B8">Felton et&#xa0;al., 2018</xref>). The uncertainty of grassland productivity under different precipitation scenarios of different types of steppes still needs to be further investigated.</p>
<p>Previous studies have explored the impact of precipitation on grassland productivity through limited years of field experiments (&lt;3 years), and whether there are legacy effects of precipitation characteristics requires verification on longer time scales (<xref ref-type="bibr" rid="B2">Bodner and Robles, 2017</xref>; <xref ref-type="bibr" rid="B45">Wang et&#xa0;al., 2018</xref>). Crop models can be used to simulate the impact of different precipitation scenarios on grassland productivity and solve scientific issues such as wastage of funding resources, lengthy duration, and timeliness of technological applications in actual precipitation scenario experiments. Currently, most existed vegetation models have been used to simulate the dynamic growth of different plant functional types, and their response to climate change (<xref ref-type="bibr" rid="B40">Susanne et&#xa0;al., 2018</xref>). Severe soil degradation in Inner Mongolia Autonomous Region, especially the degradation of 0-20cm layers constrained vegetation growth, while in the typical vegetation model, e.g. DGVMs (<xref ref-type="bibr" rid="B22">Krause et&#xa0;al., 2018</xref>), soil was divided into two layers (0-0.5m for top layer and 0.5-1.0m for deeper layer), which may neglect the effect of top soil layers. The APSIM model has been widely used to address the limitations of traditional field experiments, such as spatial and temporal constraints, limited research subjects, and long experimental cycles with more detailed soil layer definition may solve this problem (<xref ref-type="bibr" rid="B17">Holzworth et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B10">Gao et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B29">Liu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B11">Gong et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B46">Wu et&#xa0;al., 2024</xref>). Existed studies demonstrate using APSIM model to simulate the impact of different precipitation scenarios on crop yields is effective, such as wheat (<xref ref-type="bibr" rid="B10">Gao et&#xa0;al., 2022</xref>), corn (<xref ref-type="bibr" rid="B11">Gong et&#xa0;al., 2023</xref>), and potatoes (<xref ref-type="bibr" rid="B29">Liu et&#xa0;al., 2022</xref>), which provide theoretical guidance and technical support for optimizing crop water and fertilizer management measures at the regional scale. Therefore, we can utilize the advantages of the APSIM model to evaluate the response of grassland ecosystems to precipitation changes.</p>
<p>In this study, historical meteorological data from 1968 to 2017 and observational data of three types of steppes (meadow, typical, and desert steppe) from 2004 to 2010 in Inner Mongolia Autonomous Region were collected to determine the key crop variety parameters of the APSIM model. The effects of annual, seasonal, and intra-growing season precipitation changes on ANPP and PUE of different types of steppes were explored through scenario simulation based on validated model. The results of this study will provide a theoretical basis and technical support for optimizing grassland production management.</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>The present study was conducted at three types of grassland sites in Inner Mongolia Autonomous Region, namely E&#x2019;erguna Qi (50.47&#xb0;N, 120.41&#xb0;E, meadow steppe (MS) dominated by Leymus chinensis and <italic>Stipa baicalensis</italic>), Xilinhot (43.63&#xb0;N, 116.70&#xb0;E, typical steppe (TS) dominated by <italic>Leymus chinensis</italic>), and Siziwang Qi (42.16&#xb0;N, 111.60&#xb0;E, desert steppe (DS) dominated by <italic>T. angustifolia</italic>, <italic>Artemisia scoparia</italic>, and <italic>Cleistogenes squarrosa</italic>) (<xref ref-type="bibr" rid="B32">Piao et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B24">Li QY. et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B20">Hou et&#xa0;al., 2023</xref>). The MS is located in the northeastern part of Inner Mongolia, with an average annual temperature of -2.07 &#xb1; 1.08&#xb0;C and an average annual precipitation of 358.7 &#xb1; 85.7&#xa0;mm. The TS is situated in the central region of Inner Mongolia, with an average annual temperature of 3.19 &#xb1; 0.99&#xb0;C and an average annual precipitation of 281.5 &#xb1; 88.6&#xa0;mm. The DS is found in the western part of Inner Mongolia, with an average annual temperature of 4.25 &#xb1; 0.98&#xb0;C and an average annual precipitation of 316.4 &#xb1; 77.3&#xa0;mm. The annual NPP was highest for meadow steppe, which was ~250 g C/m<sup>2</sup>, followed by typical steppe (~150 g C/m<sup>2</sup>), and the lowest in desert steppe (&lt;100&#xa0;g C/m<sup>2</sup>) (<xref ref-type="bibr" rid="B19">Hossain et&#xa0;al., 2021</xref>). The community height followed the same patter as annual NPP in the three steppes, with community height&gt;23&#xa0;cm in meadow steppe while community height at &lt;14cm for desert steppe in August (<xref ref-type="bibr" rid="B50">Zhang and Ren, 2023</xref>). The mean LAI values in meadow steppe were 1.45 m<sup>2</sup>/m<sup>2</sup>, while in typical steppe, the LAI values had a distribution range of 0.34~2.34 m<sup>2</sup>/m<sup>2</sup> with a mean value of 1.18 m<sup>2</sup>/m<sup>2</sup>, and for that of desert steppe, mean LAI was 0.57 m<sup>2</sup>/m<sup>2</sup> (<xref ref-type="bibr" rid="B38">Shen et&#xa0;al., 2022</xref>). The starting of growing season (SOS) in desert steppe was around early April while in typical steppe, plant started growth by middle April. For meadow steppe, SOS occurred in early May. The end of growing season was 260~270 (DOY) in meadow steppe, 270~280 in typical steppe and 280~300 in desert steppe (<xref ref-type="bibr" rid="B43">Wang et&#xa0;al., 2019</xref>).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Data sources</title>
<p>The data for this study mainly includes meteorological, soil, and vegetation growth management data. Meteorological data comes from the official website of China Meteorological Administration (<ext-link ext-link-type="uri" xlink:href="https://data.cma.cn/">https://data.cma.cn/</ext-link>). The meteorological station data near the selected types of steppe sites, including MS, TS, and DS, with station codes 50425, 54102, and 53362 respectively, provides key indicators such as daily maximum temperature, daily minimum temperature, daily precipitation, sunshine duration, wind speed, relative humidity, solar radiation, and sun hours data for the period from 1968 to 2017. The calculation of sunshine duration and solar radiation indicators were based on the method proposed by <xref ref-type="bibr" rid="B47">Wu et&#xa0;al. (2017)</xref>. The data of the top 0-20&#xa0;cm soil layer is measured on-site (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), while the data of the deep 20-100&#xa0;cm soil layer is derived from the global soil data grid product (<xref ref-type="bibr" rid="B42">Wang et&#xa0;al., 2017</xref>). The normalized soil physicochemical properties data specific to steppe sites were extracted, including soil texture (sand, silt, and clay content), bulk density, soil organic matter, and soil pH. The natural grassland sites were fenced in the early 1980s with an area of 5&#xa0;km &#xd7; 5&#xa0;km (<xref ref-type="bibr" rid="B48">Wu et&#xa0;al., 2022</xref>). Plant growth data includes green-up date, flowering date, as well as aboveground net primary production (ANPP, measured as above-ground biomass which was cut at 5&#xa0;cm) from May to September with 1&#xa0;m &#xd7; 1&#xa0;m plots were obtained from the animal husbandry experimental stations of China Meteorological Administration.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Physical and chemical characteristics of 0-20cm surface soil at three representative grassland stations.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Grassland type</th>
<th valign="middle" align="center">Experiment station</th>
<th valign="middle" align="center">Sand/%</th>
<th valign="middle" align="center">Silt/%</th>
<th valign="middle" align="center">Clay/%</th>
<th valign="middle" align="center">ASW/DUL-Wilting</th>
<th valign="middle" align="center">Soil bulk density/g cm<sup>-3</sup>
</th>
<th valign="middle" align="center">pH</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Meadow steppe</td>
<td valign="middle" align="center">E&#x2019;erguna Qi</td>
<td valign="middle" align="center">44.5</td>
<td valign="middle" align="center">41.7</td>
<td valign="middle" align="center">13.7</td>
<td valign="middle" align="center">44mm</td>
<td valign="middle" align="center">1.16</td>
<td valign="middle" align="center">8.30</td>
</tr>
<tr>
<td valign="middle" align="center">Typical steppe</td>
<td valign="middle" align="center">Xilinhot</td>
<td valign="middle" align="center">40.4</td>
<td valign="middle" align="center">41.8</td>
<td valign="middle" align="center">17.8</td>
<td valign="middle" align="center">43mm</td>
<td valign="middle" align="center">1.34</td>
<td valign="middle" align="center">7.90</td>
</tr>
<tr>
<td valign="middle" align="center">Desert steppe</td>
<td valign="middle" align="center">Siziwang Qi</td>
<td valign="middle" align="center">76.8</td>
<td valign="middle" align="center">14.2</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">14.6mm</td>
<td valign="middle" align="center">1.44</td>
<td valign="middle" align="center">7.87</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Parameter determination and validation results of APSIM model</title>
<p>APSIM (Agricultural Production Systems Simulator) is a modular modeling framework that reconfigures individual modules for crop production and soil management to simulate aboveground net primary productivity (<xref ref-type="bibr" rid="B29">Liu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B11">Gong et&#xa0;al., 2023</xref>). The plant simulation module of APSIM is versatile (<xref ref-type="bibr" rid="B46">Wu et&#xa0;al., 2024</xref>), and an independent crop growth, soil water, and soil nitrogen module are built using a &#x2018;plug-and-play&#x2019; structure. Based on the lucerne module, perennial module parameters and crop parameters are determined, and a natural grassland community plant module is developed. This study utilizes the APSIM-SoilN module for soil carbon and nitrogen, the APSIM-SoilWat module for soil water, the APSIM-Surface Organic Matter module for crop residue, and the crop module (<xref ref-type="bibr" rid="B33">Probert et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B44">Wang et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B17">Holzworth et&#xa0;al., 2014</xref>). Previous studies have validated the accuracy of APSIM in simulating ANPP in meadow steppe and typical steppe (<xref ref-type="bibr" rid="B48">Wu et&#xa0;al., 2022</xref>), demonstrating well acceptable simulation accuracy. In this study, an optimization method is further applied to calibrate the genetic parameters of desert steppe using measured ANPP data from 2004-2010, and the response of the three types of steppes to changes in precipitation is assessed based on the validated APSIM model.</p>
<p>Based on the initial soil parameters (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) and experimental data from 2004-2010, three types of community vegetation genetic parameters for the three steppes were determined through trial-and-error method, while the model variety parameters for meadow steppe and typical steppe were inherited from previous studies (<xref ref-type="bibr" rid="B48">Wu et&#xa0;al., 2022</xref>). The new calibrated model variety parameters for desert steppe shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Key parameters of desert steppe community.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Model parameter</th>
<th valign="middle" align="center">Units</th>
<th valign="middle" align="center">Meaning</th>
<th valign="middle" align="center">Default_value</th>
<th valign="middle" align="center">Desert steppe</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">T<sub>base</sub>
</td>
<td valign="middle" align="center">&#xb0;C</td>
<td valign="middle" align="center">Base temperature for calculating daily effective thermal time below which the temperature is regarded as non-effective.</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">3 (<xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2014</xref>)</td>
</tr>
<tr>
<td valign="top" align="center">x_pp_end_of_juv</td>
<td valign="middle" align="center">h</td>
<td valign="middle" align="center">Change of day length between the end of juvenile stage to floral initiation</td>
<td valign="middle" align="center">12.3-14.0</td>
<td valign="middle" align="center">12.3-14.0</td>
</tr>
<tr>
<td valign="top" align="center">y_tt_end_of_juv</td>
<td valign="middle" align="center">&#xb0;C &#xb7; d</td>
<td valign="middle" align="center">Thermal time required from end of juvenile stage to floral initiation stage related to day length change</td>
<td valign="middle" align="center">260-160</td>
<td valign="middle" align="center">160-160</td>
</tr>
<tr>
<td valign="top" align="center">f_sw</td>
<td valign="middle" align="center">&#x2014;</td>
<td valign="middle" align="center">Fraction of available soil water maximum soil water in the profile, 0.0 indicates no water available, 1.0 indicates maximum water storage.</td>
<td valign="middle" align="center">0.0-1.0</td>
<td valign="middle" align="center">0.0-0.5</td>
</tr>
<tr>
<td valign="top" align="center">tt_stress_emerg</td>
<td valign="middle" align="center">&#x2014;</td>
<td valign="middle" align="center">Delay in green-up date by reduction in daily thermal time calculation related to f_sw fraction change, 1.0 indcates no delay in green-up stage.</td>
<td valign="middle" align="center">1.0-1.0</td>
<td valign="middle" align="center">0.3-1.0</td>
</tr>
<tr>
<td valign="top" align="center">tt_emer_juven</td>
<td valign="middle" align="center">&#xb0;C &#xb7; d</td>
<td valign="middle" align="center">Thermal time accumulation required from green-up to the end of juvenile stage</td>
<td valign="middle" align="center">700</td>
<td valign="middle" align="center">500</td>
</tr>
<tr>
<td valign="top" align="center">stage_stem_reduction</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="middle" align="center">Reduction in plant phenology due to mowing or harvesting</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">2</td>
</tr>
<tr>
<td valign="top" align="center">ratio_root_shoot</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="middle" align="center">Daily photosynthate allocation between root and shoot, growth cycles from seeding duration: transition duration: reproductive duration</td>
<td valign="middle" align="center">1.0: 0.40: 1.0</td>
<td valign="middle" align="center">3.0: 1.0: 0.3</td>
</tr>
<tr>
<td valign="top" align="center">frac_leaf</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="middle" align="center">Daily photosynthate of shoot allocated for leaf development, growth cycles from seeding duration: transition duration: reproductive duration</td>
<td valign="middle" align="center">0.45</td>
<td valign="middle" align="center">0.65</td>
</tr>
<tr>
<td valign="top" align="center">x_lai</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="middle" align="center">Leaf area index</td>
<td valign="middle" align="center">0.0-3.0</td>
<td valign="middle" align="center">0.0-3.0</td>
</tr>
<tr>
<td valign="top" align="center">y_sla_max</td>
<td valign="middle" align="center">mm<sup>2</sup> g<sup>-1</sup>
</td>
<td valign="middle" align="center">Maximum specific leaf area for daily increase in LAI, between which the value was linear interpolated</td>
<td valign="middle" align="center">60000-30000</td>
<td valign="middle" align="center">25000-15000</td>
</tr>
<tr>
<td valign="top" align="center">RUE</td>
<td valign="middle" align="center">g MJ<sup>-1</sup>
</td>
<td valign="middle" align="center">Radiation use efficiency, growth cycles from seeding duration: transition duration: reproductive duration</td>
<td valign="middle" align="center">1.8:1.4: 0.8</td>
<td valign="middle" align="center">1.15: 0.9: 0.05</td>
</tr>
<tr>
<td valign="top" align="center">Kc</td>
<td valign="middle" align="center">pa</td>
<td valign="middle" align="center">Transpiration efficiency coefficient change, growth cycles from seeding duration: transition duration: reproductive duration</td>
<td valign="middle" align="center">0.006: 0.005: 0.003</td>
<td valign="middle" align="center">0.006: 0.003: 0.001</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The process for determining the model parameters is as follows: 1) Prepare model input data, including meteorological data, soil physical characteristics, and soil chemical characteristics (soil organic carbon, SOC, carbon-nitrogen ratio, CN ratio). Use soil water dynamics calculation software to calculate field capacity (mm/mm) and saturated water content (mm/mm) (<xref ref-type="bibr" rid="B37">Saxton and Rawls, 2006</xref>), with a default soil reflectance of 0.13. 2) Run the model in advance for 2 years to reach a stable equilibrium of soil compartments. Calibrate model parameters for the green-up stage (development stage (DVS)=3) and flowering stage (DVS=6) based on accumulated temperature during the growth and development period (<xref ref-type="bibr" rid="B17">Holzworth et&#xa0;al., 2014</xref>). Considering the impact of spring drought on the green-up stage, the temperature accumulation is adjusted from no effect (value of 1.0) to a 50% slowdown (value of 0.5). 3) Calibrate model parameters such as root/shoot ratio (RS), leaf distribution coefficient (DL), leaf area (LA), specific leaf area (SLA), radiation use efficiency (RUE), and transpiration efficiency coefficient (Kc) to account for the process of dry matter accumulation and community differences for varied vegetation (<xref ref-type="bibr" rid="B48">Wu et&#xa0;al., 2022</xref>). 4) Evaluate the performance of the APSIM model using statistical indicators such as regression coefficients (&#x3b1;), regression constant (&#x3b2;), coefficient of determination (R<sup>2</sup>) (<xref ref-type="bibr" rid="B6">Cheng et&#xa0;al., 2023</xref>, <xref ref-type="bibr" rid="B5">2024</xref>).</p>
<p>Based on the independent field observation data from 2004 to 2010, statistical validation of the APSIM model for grassland above-ground net primary productivity (ANPP) was obtained. The simulated ANPP for three types of steppe communities were found to be consistent with the observed values, with <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>sim</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0.83</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>37.86</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>&gt; (R<sup>2</sup> = 0.67) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). This indicates that the APSIM model can quantitatively reflect the trend of ANPP variations in the three types of steppes, thereby enabling simulated analysis of different precipitation scenarios.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Comparison and validation of observed and simulated net primary productivity on different steppes based on APSIM model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g001.tif"/>
</fig>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Scenario design</title>
<p>Based on historical meteorological data from 1968 to 2017, we designed three different precipitation change scenarios (annual precipitation (AP), seasonal precipitation (SP), and growing season precipitation (GSP)) to explore the aboveground net primary productivity (ANPP) response to varying precipitation amounts for different types of steppes (<xref ref-type="bibr" rid="B9">Gao et&#xa0;al., 2013</xref>). The baseline indicated the precipitation of current meteorological data, three kinds of precipitation characteristics were selected for precipitation scenarios (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). We established six levels of precipitation change gradient for the AP and twelve levels for the SP. The GSP accounts for 85% to 90% of the AP, while dormancy precipitation (DP) accounts for 10% to 15% of the AP. Furthermore, the GSP has been classified into eighteen levels of precipitation change gradient, including early, middle and late growing season precipitation (EGSP, MSSP and LGSP). For instance, AP-10% represents a daily reduction of 10% in precipitation throughout the year, whereas GSP-10% indicates a 10% reduction in daily precipitation from April to September, while there is no change in daily precipitation from October to March.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Design of precipitation scenarios for three types of steppes.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" colspan="2" align="center">Precipitation scenarios</th>
<th valign="middle" colspan="6" align="center">Horizontal gradient</th>
</tr>
<tr>
<th valign="middle" align="center">-30%</th>
<th valign="middle" align="center">-20%</th>
<th valign="middle" align="center">-10%</th>
<th valign="middle" align="center">+10%</th>
<th valign="middle" align="center">+20%</th>
<th valign="middle" align="center">+30%</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" colspan="2" align="center">Annual precipitation (AP)</td>
<td valign="middle" align="center">P-30%</td>
<td valign="middle" align="center">P-20%</td>
<td valign="middle" align="center">P-10%</td>
<td valign="middle" align="center">P+10%</td>
<td valign="middle" align="center">P+20%</td>
<td valign="middle" align="center">P+30%</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="center">Seasonal precipitation (SP)</td>
<td valign="middle" align="center">Growth season precipitation (GSP) (April to September)</td>
<td valign="middle" align="center">G-30%</td>
<td valign="middle" align="center">G-20%</td>
<td valign="middle" align="center">G-10%</td>
<td valign="middle" align="center">G+10%</td>
<td valign="middle" align="center">G+20%</td>
<td valign="middle" align="center">G+30%</td>
</tr>
<tr>
<td valign="middle" align="center">Dormancy precipitation (DP) (October to March)</td>
<td valign="middle" align="center">D-30%</td>
<td valign="middle" align="center">D-20%</td>
<td valign="middle" align="center">D-10%</td>
<td valign="middle" align="center">D+10%</td>
<td valign="middle" align="center">D+20%</td>
<td valign="middle" align="center">D+30%</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">Growth season precipitation<break/>(GSP)</td>
<td valign="middle" align="center">Early growing season precipitation (EGSP) (April to May)</td>
<td valign="middle" align="center">E-30%</td>
<td valign="middle" align="center">E-20%</td>
<td valign="middle" align="center">E-10%</td>
<td valign="middle" align="center">E+10%</td>
<td valign="middle" align="center">E+20%</td>
<td valign="middle" align="center">E+30%</td>
</tr>
<tr>
<td valign="middle" align="center">Middle growing season precipitation (MSSP) (June to July)</td>
<td valign="middle" align="center">M-30%</td>
<td valign="middle" align="center">M-20%</td>
<td valign="middle" align="center">M-10%</td>
<td valign="middle" align="center">M+10%</td>
<td valign="middle" align="center">M+20%</td>
<td valign="middle" align="center">M+30%</td>
</tr>
<tr>
<td valign="middle" align="center">Late growing season precipitation (LGSP) (August to September)</td>
<td valign="middle" align="center">L-30%</td>
<td valign="middle" align="center">L-20%</td>
<td valign="middle" align="center">L-10%</td>
<td valign="middle" align="center">L+10%</td>
<td valign="middle" align="center">L+20%</td>
<td valign="middle" align="center">L+30%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the precipitation scenarios, the change rate of net primary productivity above ground (CR<sub>ANPP</sub>, <xref ref-type="disp-formula" rid="eq1">Equation 1</xref>), the precipitation utilization efficiency (PUE, <xref ref-type="disp-formula" rid="eq2">Equation 2</xref>) during different precipitation scenarios were determined through simulation and comparison. Data analysis for significance was conducted using SPSS26. If the data followed a normal distribution, Duncan&#x2019;s method was used to compare the significance differences among different treatments. If the data did not follow a normal distribution, non-parametric analysis (Kruskal-Wallis) was employed to analyze the significance of different factors.</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>CR</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2217;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtext>PUE</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>|</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>|</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the maximum net primary productivity (kg&#xb7;ha<sup>&#x2212;1</sup>) of the steppe in a changed simulation scenario, using the maximum biomass of the community as a substitute. <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ANPP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the maximum net primary productivity (kg&#xb7;ha<sup>&#x2212;1</sup>) of the steppe under the actual precipitation condition. <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mtext>P</mml:mtext>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> refers to the absolute change of precipitation amount (mm) under varying precipitation scenarios.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Response of different types of grassland productivity to annual precipitation changes</title>
<p>Based on the analysis of <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>, the three types of grassland vegetation exhibit heterogeneity in their response to annual precipitation. The response to a decrease in annual precipitation is significantly greater than the response to an increase. Under the scenario of decreased annual precipitation, all three types of steppes show a declining trend in ANPP, with desert steppe exhibiting the largest response in terms of ANPP reduction, followed by typical steppe and meadow steppe. Conversely, under the scenario of increased annual precipitation, all three types of steppes exhibit an increasing trend in ANPP, with typical steppe showing the strongest response, followed by desert steppe and meadow steppe. Specifically, the change rate of net primary productivity above ground for desert steppe (CR<sub>ANPP_DS</sub>), typical steppe (CR<sub>ANPP_TS</sub>), and meadow steppe (CR<sub>ANPP_MS</sub>) range from -74.97% to 18.79%, -55.75% to 44.66%, and -40.92% to 16.66%, respectively. When annual precipitation changes by -30%, -20%, -10%, 10%, 20%, and 30%, the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> range from -74.97% to -40.92%, -25.08% to -51.94%, -10.60% to -19.91%, 7.81% to 15.73%, 13.39% to 32.97%, and 16.66% to 44.66%, respectively. Further analysis reveals that the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> exhibit a positive logarithmic correlation with the rate of change in annual precipitation (CR<sub>AP</sub>) by 10%, with all R<sup>2</sup> exceeding 0.94. In conclusion, CR<sub>ANPP_MS</sub> is less affected by changes in annual precipitation.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The impact of different annual precipitation changes on net primary productivity of three steppes based on APSIM model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g002.tif"/>
</fig>
<p>Based on the results of the precipitation utilization efficiency (PUE) shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>, it can be observed that the impact of different annual precipitation on PUE is relatively small. When the annual precipitation decreases, the desert steppe has the highest PUE, followed by typical steppe, and meadow steppe has the lowest PUE. When the annual precipitation increases, the typical steppe has the highest PUE, followed by the meadow steppe, and the desert steppe has the lowest PUE. The PUE for desert steppe (PUE<sub>DS</sub>), typical steppe (PUE<sub>TS</sub>), and meadow steppe (PUE<sub>MS</sub>) range from 3.87 to 20.19, 8.20 to 16.82, and 5.61 to 14.88&#xa0;kg DM/mm, respectively. When annual precipitation changes by -30%, -20%, -10%, 0, 10%, 20%, and 30%, the PUE<sub>DS</sub>, PUE<sub>TS</sub>, and PUE<sub>MS</sub> range from 14.88 to 18.33, 13.39 to 20.19, 11.52 to 17.57, 7.13 to 9.35, 6.74 to 14.31, 5.00 to 12.41, and 3.87 to 10.87&#xa0;kg DM/mm, respectively. Further analysis reveals that the PUE<sub>DS</sub>, PUE<sub>TS</sub>, and PUE<sub>MS</sub> exhibit a positive linear decrease with the CR<sub>AP</sub> by 10%.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The impact of annual precipitation changes during development stages on PUE of three steppes based on APSIM model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g003.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Response of different types of grassland productivity to seasonal precipitation changes</title>
<p>According to <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>, the three types of steppes show a consistent trend in responding to seasonal precipitation variations. It is observed that, under the same degree of change, the effect of precipitation changes during the growing season on ANPP is significantly greater than that during the dormancy. As shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>, when the dormancy precipitation changes by &#xb1;30%, the CR<sub>ANPP</sub> from -3.71% to 4.87% for desert steppe, -3.49% to 4.03% for typical steppe, and -3.64% to 3.76% for meadow steppe. When the dormancy precipitation increases or decreases by the same degree, the contribution to ANPP is comparable. Specifically, when the dormancy precipitation changes by -30%, -20%, -10%, 10%, 20%, and 30%, the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> are as follows: -3.49% to -3.71%, -2.31% to -2.64%, -1.03% to -1.57%, 1.03% to 1.63%, 2.23% to 3.39%, and 3.76% to 4.87%. Furthermore, as shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>, when the growing season precipitation changes by &#xb1;30%, the CR<sub>ANPP</sub> from -58.89% to 18.14% for desert steppe, -51.57% to 41.89% for typical steppe, and -34.34% to 15.55% for meadow steppe. It is worth noting that, under the same degree of change, the impact of decreasing growing season precipitation on ANPP is greater than that of increasing growing season precipitation. Specifically, when the growing season precipitation changes by -30%, -20%, -10%, 10%, 20%, and 30%, the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> are as follows: -58.89% to -34.34%, -43.82% to -20.56%, -17.68% to -8.96%, 7.04% to 15.19%, 12.19% to 27.55%, and 15.55% to 41.89%. Additionally, the magnitude of ANPP change is in the order of desert steppe &gt; typical steppe &gt; MS. Further analysis reveals that under the six precipitation scenarios, the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> show a logarithmic positive correlation with a 10% change rate in dormancy precipitation (CR<sub>DP</sub>) and growing season precipitation (CR<sub>GSP</sub>). Among them, during the growing season precipitation, the CR<sub>ANPP</sub> is highest for desert steppe, followed by typical steppe and meadow steppe. During the dormancy precipitation, the CR<sub>ANPP</sub> is highest for desert steppe, followed by meadow steppe and then typical steppe. In conclusion, all three types of steppes show that changes in growing season precipitation have a greater impact on ANPP compared to dormancy precipitation. Additionally, decreasing precipitation has a greater impact on ANPP than increasing precipitation.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The impact of seasonal precipitation changes on aboveground net primary productivity of three steppes based on the APSIM model. <bold>(A)</bold> represents the dormancy precipitation scenario, and <bold>(B)</bold> represents the growing season precipitation scenario.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g004.tif"/>
</fig>
<p>The impact of precipitation variability during the growing season on ANPP is significantly greater than that during the dormancy, primarily due to higher precipitation levels in the former. This study further explores the effects of precipitation changes on ANPP using the PUE indicator. As illustrated in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>, the discrepancies in contributions to ANPP from dormancy precipitation versus growing season precipitation diminish when assessed through PUE metrics. <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A&#x2013;C</bold>
</xref> demonstrate that, among the different grassland types, typical steppe exhibited the highest PUE, followed by desert steppe, with meadow steppe showing the lowest PUE. Interestingly, desert steppe showed a higher PUE during dormancy precipitation compared to growing season precipitation, conversely to the patterns seen in typical steppe and meadow steppe. The PUE<sub>DS</sub>, PUE<sub>TS</sub>, and PUE<sub>MS</sub> range between 6.97 to 14.34, 17.97 to 24.39, and 6.02 to 8.03&#xa0;kg DM/mm, respectively. Variations in dormancy precipitation (-30%, -20%, -10%, 10%, 20%, and 30%) lead to changes in PUE rates among the three grassland types, which range from 9.67 to 18.87, 9.13 to 18.54, 8.03 to 24.39, 9.30 to 21.45, 7.39 to 22.60, and 6.97 to 17.97&#xa0;kg DM/mm. <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5D&#x2013;F</bold>
</xref> reveal the influence of reduced growing season precipitation, where PUE follows the order: desert steppe &gt; typical steppe &gt; meadow steppe. Conversely, an increase in growing season precipitation results in the highest PUE for typical steppe. The PUE<sub>DS</sub>, PUE<sub>TS</sub>, and PUE<sub>MS</sub> fall between 4.53 to 21.23, 12.07 to 17.70, and 6.02 to 13.97&#xa0;kg DM/mm, respectively. PUE changes under different scenarios of growing season precipitation (-30%, -20%, -10%, 10%, 20%, and 30%) range from 13.97 to 17.44, 12.91 to 21.23, 11.44 to 17.70, 7.21 to 16.28, 5.57 to 13.02, and 4.53 to 12.07&#xa0;kg DM/mm across the three grassland types. Additionally, when assessing the contributions of precipitation changes to ANPP based on PUE metrics, noteworthy differences emerge. For typical steppe and meadow steppe, the effect of dormancy precipitation changes stands out, with typical steppe demonstrating an equivalent contribution of dormancy precipitation to PUE as that of growing season precipitation.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>The impact of different seasonal precipitation changes on PUE of three steppes based on APSIM model. <bold>(A)</bold> represents the dormancy precipitation scenario design of desert steppe, <bold>(B)</bold> represents the dormancy precipitation scenario design of typical steppe, <bold>(C)</bold> represents the dormancy precipitation scenario design of meadows steppe, <bold>(D)</bold> represents the growing season precipitation scenario design of desert steppe, <bold>(E)</bold> represents the growing season precipitation scenario design of typical steppe, and <bold>(F)</bold> represents the growing season precipitation scenario design of meadows steppe.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g005.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Response of different types of grassland productivity to precipitation at different stages of the growing season</title>
<p>Based on the analysis of <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5</bold>
</xref>, it is evident that increased precipitation during the growing season significantly enhances ANPP and PUE. Therefore, it is important to further investigate the impact of precipitation variations during the early, middle, and late stages of the growing season on ANPP and PUE. According to <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>, changes in precipitation during the early, middle, and late of the growing season precipitation all affect the ANPP of three types of steppes. Meadow steppe is least affected by precipitation variations during different stages of the growing season, with the CR<sub>ANPP</sub> ranging from -5.38% to 3.36% during early growing season precipitation, -5.84% to 6.53% during middle growing season precipitation, and -1.95% to 1.98% during late growing season precipitation. The CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> during early growing season precipitation range from -5.38% to 3.36%, -5.84% to 6.53%, and -1.95% to 1.98%, respectively. During middle growing season precipitation, the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> range from -25.98% to 11.84%, -26.04% to 23.67%, and -14.79% to 10.26% respectively. Similarly, during late growing season precipitation, the CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> range from -18.07% to 7.52%, -17.56% to 14.28%, and -10.99% to 7.90% respectively. For meadow steppe, the impact of precipitation variations during the growing season on meadow steppe ANPP is within &#xb1;15%, with the smallest impact during early growing season precipitation (&lt;2%). During middle growing season precipitation and late growing season precipitation, reductions in precipitation contribute -9.49% and -7.23% to ANPP, while increases in precipitation contribute 7.26% and 5.56% to meadow steppe ANPP respectively. For typical steppe, the impact of precipitation variations during the growing season on ANPP is within &#xb1;30%, with the smallest impact during early growing season precipitation (&lt;7%). During middle growing season precipitation and late growing season precipitation, reductions in precipitation contribute -17.78% and -11.94% to ANPP, while increases in precipitation contribute 16.61% and 9.78% to typical steppe ANPP respectively. For desert steppe, the impact of precipitation variations during the growing season on ANPP is also within &#xb1;30%, with the smallest impact during early growing season precipitation (&lt;6%). During middle growing season precipitation and late growing season precipitation, reductions in precipitation contribute -15.58% and -10.45% to ANPP, while increases in precipitation contribute 7.94% and 5.14% to desert steppe ANPP respectively. By quantifying the relationship between precipitation variations during different stages of the growing season and ANPP for the three steppes, it is evident that CR<sub>ANPP_DS</sub>, CR<sub>ANPP_TS</sub>, and CR<sub>ANPP_MS</sub> exhibits a logarithmic positive correlation with the rate of change in precipitation by 10% during any growing season stage. Regardless of the precipitation scenario during any stage of the growing season, the magnitude of the CR<sub>ANPP</sub> follows the order of typical steppe, desert steppe, and meadow steppe. In summary, regardless of the precipitation scenario during any stage of the growing season, ANPP is most sensitive to precipitation changes during middle growing season precipitation, followed by late growing season precipitation, and has the least impact during early growing season precipitation.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>The impact of precipitation changes during different growth season development stages on aboveground net primary productivity of three steppes based on the APSIM model. <bold>(A)</bold> represents the early growing season precipitation scenario, <bold>(B)</bold> represents the middle growing season precipitation scenario, and <bold>(C)</bold> represents the late growing season precipitation scenario.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g006.tif"/>
</fig>
<p>According to <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>, the influence of precipitation changes on the PUE of desert steppe varies between 11.13 to 29.06&#xa0;kg DM/mm, 9.84~24.91 kg DM/mm, and 7.74~22.65 kg DM/mm in the early growing season precipitation, middle growing season precipitation, and late growing season precipitation, showing a general downward trend followed by an upward trend. The influence on the PUE of typical steppe ranges from 21.25 to 28.22&#xa0;kg DM/mm, 14.72 to 19.46&#xa0;kg DM/mm, and 19.10 to 24.38&#xa0;kg DM/mm in the early growing season precipitation, middle growing season precipitation, and late growing season precipitation, respectively, showing an initial increase followed by a decrease. The influence on the PUE of meadow steppe decreases gradually, ranging from 5.76 to 9.43&#xa0;kg DM/mm, 8.34 to 12.61&#xa0;kg DM/mm, and 8.33 to 12.94&#xa0;kg DM/mm in the early growing season precipitation, middle growing season precipitation, and late growing season precipitation, respectively. Under different precipitation scenarios in early growing season precipitation, the influence of decreased precipitation on PUE is greater than that of increased precipitation for all three types of steppes. Specifically, for desert steppe, the PUE ranges from 17.00 to 29.06&#xa0;kg DM/mm (decreased precipitation) and 7.74 to 24.91&#xa0;kg DM/mm (increased precipitation). For typical steppe, the PUE ranges from 16.43 to 28.22&#xa0;kg DM/mm (decreased precipitation) and 14.72 to 26.71&#xa0;kg DM/mm (increased precipitation). For meadow steppe, the PUE ranges from 7.71 to 12.94&#xa0;kg DM/mm (decreased precipitation) and 5.76 to 10.04&#xa0;kg DM/mm (increased precipitation). To summarize, for desert steppe, precipitation changes in the early growing season precipitation are most important. For typical steppe, precipitation changes throughout the entire growth season are important. For meadow steppe, precipitation changes in the middle growing season precipitation, and late growing season precipitation are most important.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>The impact of precipitation changes during different growth season development stages on PUE of three steppes based on APSIM model. <bold>(A)</bold> represents the early growing season precipitation scenario design of desert steppe, <bold>(B)</bold> represents the early growing season precipitation scenario design of typical steppe, <bold>(C)</bold> represents the early growing season precipitation scenario design of meadows steppe, <bold>(D)</bold> represents the middle growing season precipitation scenario design of desert steppe, <bold>(E)</bold> represents the middle growing season precipitation scenario design of typical steppe, <bold>(F)</bold> represents the middle growing season precipitation scenario design of meadows steppe, <bold>(G)</bold> represents the late growing season precipitation scenario design of desert steppe, <bold>(H)</bold> represents the late growing season precipitation scenario design of typical steppe, and <bold>(I)</bold> represents the late growing season precipitation scenario design of meadows steppe.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1487907-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>This study utilized the APSIM model as a research tool to determine key model parameter for three types of steppe communities. Validation results showed that the APSIM model can accurately simulate the dynamic changes in aboveground net primary productivity (ANPP) for these three types of grassland sites. Furthermore, this study analyzed the impact of different precipitation scenarios on grassland productivity.</p>
<p>The analysis of different steppe vegetation communities in response to annual precipitation variations indicated that vegetation productivity is influenced by the precipitation time scales and amount. Moreover, the response of vegetation productivity to annual precipitation varied among different types of steppe vegetation communities (<xref ref-type="bibr" rid="B7">Cong et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B1">Andrew et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B28">Liu et&#xa0;al., 2023</xref>). This study found that the response of vegetation productivity to a significant decrease in annual precipitation was greater than that to an increase in annual precipitation. This could be attributed to water deficiency being a major limiting factor for vegetation growth in the Inner Mongolia grassland ecosystem (<xref ref-type="bibr" rid="B9">Gao et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2014</xref>). Further decrease in precipitation could lead to cumulative drought effects, causing deepening of plant root systems, reduction in leaf size and quantity, and a significant decrease in ANPP (<xref ref-type="bibr" rid="B1">Andrew et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B29">Liu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B48">Wu et&#xa0;al., 2022</xref>).</p>
<p>The study also analyzed the response of different steppe vegetation communities to seasonal precipitation variations. Previous research has shown that the coupling effect of temperature and precipitation, characterized by rising minimum temperatures during the growing season, can significantly increase ANPP in alpine meadows. Future &#x201c;warm-wet&#x201d; climate change may enhance grassland productivity in the agro-pastoral transitional area of Inner Mongolia (<xref ref-type="bibr" rid="B30">Mo et&#xa0;al., 2012</xref>). Building upon previous research, this study further analyzed the response of different steppe vegetation communities to seasonal precipitation variations. Although the influence of precipitation during the growing season on ANPP was greater than that during the dormancy, both periods were equally important in terms of precipitation utilization efficiency (PUE). This may be due to the supplemental soil water and groundwater resources provided by dormancy precipitation, which can reduce the risk of water stress during grass regrowth and promote vegetation growth (<xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B29">Liu et&#xa0;al., 2022</xref>). Our study indicated the response of steppe community to precipitation change is different (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>-<xref ref-type="fig" rid="f4">
<bold>4</bold>
</xref>). Firstly, the natural precipitation at the three sites were different, where the precipitation in meadow steppe (358.7mm) is highest while the lowest in typical steppe (281.5mm). Therefore, the typical steppe faced with the severest drought threat, while the growth of plants in meadow steppe was temperature constrained. Additional precipitation may contribute more to ANPP improvement in typical steppe. Compared with desert steppe, although the precipitation is ~40mm higher, the soil water holding capacity at desert steppe was the smallest with a high fraction of sand, indicating the poor water storage under the same condition (<xref ref-type="bibr" rid="B15">He and Wang, 2019</xref>), thus the contribution of increased precipitation may not as significant as that in typical steppe. Additionally, the community type at the three steppes also showed varied characteristics, where plants at desert steppe have smaller leaf thus lower radiation use efficiency, the PUE would be smaller compared with typical steppe. The combination effect of plant, precipitation and soil contributed to the varied response of the three steppes community to changed precipitation.</p>
<p>Additionally, the study analyzed the response of different steppe vegetation communities to seasonal precipitation variations. Previous research has indicated that autumn and spring phenology play an equally important role in regulating carbon balance (<xref ref-type="bibr" rid="B28">Liu et&#xa0;al., 2023</xref>). While climate warming delays autumn phenology, an increase in early growing season precipitation can advance the onset of autumn phenology. Moreover, the spatiotemporal variations in temperature and precipitation can lead to significant fluctuations in steppe community growth during the late growing season (<xref ref-type="bibr" rid="B7">Cong et&#xa0;al., 2013</xref>). This study refined the response of different steppe vegetation communities to precipitation during the early, middle, and late stages of the growing season. Typically, the growing season for typical and meadow steppes spans from March to October (<xref ref-type="bibr" rid="B23">Li et&#xa0;al., 2013</xref>), whereas for desert steppes, it ranges from May to October. In order to maintain consistency, this study set the growing season as April to September, which may introduce certain errors to the research findings. The results indicated that precipitation during the middle stage of the growing season contributed the most to ANPP in meadow and typical steppes, while precipitation during the early stage contributed the most to ANPP in desert steppes. Furthermore, a decrease in precipitation had the greatest impact on ANPP within the growing season for desert steppes, while its impact on ANPP within the growing season was relatively small for meadow and typical steppes. This could be attributed to the ample precipitation resources and small inter-annual variations in meadow steppes (<xref ref-type="bibr" rid="B9">Gao et&#xa0;al., 2013</xref>), as well as the dominance of deep-rooted grass species in these communities, which exhibit certain growth advantages under drought conditions (<xref ref-type="bibr" rid="B3">Chen et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B26">Liu M. et&#xa0;al., 2017</xref>).</p>
<p>Future research prospects: In terms of model optimization, the influence of factors such as model parameters, multi-parameter equivalence, and ecological environment on model accuracy should be considered (<xref ref-type="bibr" rid="B52">Zhao et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B16">He et&#xa0;al., 2017</xref>). In terms of application, it is necessary to quantify the impacts of different temperature, precipitation, and CO<sub>2</sub> concentration coupling characteristics on grassland productivity (<xref ref-type="bibr" rid="B35">Qu et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B27">Liu WJ. et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B12">Guan et&#xa0;al., 2018</xref>). This should be done by combining with Geographic Information System (GIS), Remote Sensing (RS), and Global Positioning System (GPS) technology to achieve regional model simulation (<xref ref-type="bibr" rid="B39">Singh and Dhadse, 2021</xref>), formulate degraded grassland management decisions that adapt to climate change, evaluate carbon sink potential and grazing capacity, optimize grazing systems, and ensure sustainable utilization of grassland resources. In terms of scenario design, we need to note that the effect of extreme precipitation (for changes exceed +30% or fall below -30%) was not explored in our study. The drought under intensified decrease of precipitation may led to plant failure, while heavy precipitation may lead to increased runoff and leaching, which need to be studied in the future research.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<list list-type="order">
<list-item>
<p>Aboveground net primary productivity (ANPP) is more affected by precipitation during the growing season than during the dormancy. ANPP increases with increasing precipitation, and the rate of change in ANPP is positively correlated with the rate of change in annual precipitation (AP), seasonal precipitation (SP), and growing season precipitation (GSP) at a rate of 10%, 20%, and 30% respectively. Under the scenario of AP, precipitation show asymmetry, with a larger response from decreased precipitation than increased precipitation to productivity. The change rate of ANPP (CR<sub>ANPP</sub>) is the highest in typical steppe (TS) of AP and GSP, while the opposite is true in dormancy precipitation (DP). The CR<sub>ANPP</sub> is the smallest in meadow steppe (MS) of AP and GSP, while it is relatively high in DP. The CR<sub>ANPP</sub> is the relatively high in desert steppe (DS) of AP and GSP, while it is highest in DP.</p>
</list-item>
<list-item>
<p>When AP decreases, precipitation utilization efficiency (PUE) varies in the following order: DS, TS, and MS. Conversely, when AP increases, PUE varies in the following order: TS, MS, and DS. PUE shows the same importance for both DP and GSP. PUE in TS and MS increases with increasing DP, while the trend is opposite in DS. PUE increases with increasing GSP. PUE in MS remains unchanged with changes in early growing season precipitation (EGSP), while it decreases with increasing EGSP in DS and TS. PUE decreases with increasing middle growing season precipitation (MSSP) and late growing season precipitation (LGSP).</p>
</list-item>
</list>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because they need to be used in future work. Requests to access the datasets should be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>CC: Conceptualization, Data curation, Formal analysis, Funding acquisition, Methodology, Project administration, Resources, Supervision, Validation, Visualization, Writing &#x2013; original draft. LW: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; review &amp; editing. HL: Conceptualization, Data curation, Investigation, Methodology, Resources, Supervision, Writing &#x2013; review &amp; editing. BL: Investigation, Methodology, Resources, Supervision, Writing &#x2013; review &amp; editing. XZ: Investigation, Methodology, Resources, Supervision, Writing &#x2013; review &amp; editing. FY: Investigation, Methodology, Resources, Supervision, Writing &#x2013; review &amp; editing.</p>
</sec>
<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 study received financial support from various sources, including National Natural Science Foundation of China (32101294), Chinese Academy of Sciences Strategic Leading Science and Technology Project (XDA26020102), Key Project of China Meteorological Administration Meteorological Center Training Institute (2024CMATCZDIAN14), and Lishui University Talent Launch Fund Project (6604CC01Z).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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