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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1112874</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2023.1112874</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Methods</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A remote sensing based method for assessing the impact of O<sub>3</sub> on the net primary productivity of terrestrial ecosystems in China</article-title>
<alt-title alt-title-type="left-running-head">Hu et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2023.1112874">10.3389/fenvs.2023.1112874</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Hu</surname>
<given-names>Lin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2121620/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Zhaosheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2122150/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huang</surname>
<given-names>Mei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/865504/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Hongfu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Qinyi</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2150737/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Ecosystem Science Data Center</institution>, <institution>Key Laboratory of Ecosystem Network Observation and Modeling</institution>, <institution>Institute of Geographic Sciences and Natural Resources Research</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Geoscience and Surveying Engineering</institution>, <institution>China University of Mining and Technology</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Key Laboratory of Regional Ecology and Environmental Change</institution>, <institution>School of Geography and Information Engineering</institution>, <institution>China University of Geosciences</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1738076/overview">Gen Zhang</ext-link>, Chinese Academy of Meteorological Sciences, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2154864/overview">Zang Kunpeng</ext-link>, Zhejiang University of Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1260767/overview">Ning Zong</ext-link>, Lhasa Ecological Research Station, Chinese Academy of Sciences, Dagze County, Lhasa, Tibet Autonomous Region, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Mei Huang, <email>huangm@igsnrr.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmosphere and Climate, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>04</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1112874</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Hu, Wang, Huang, Sun and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Hu, Wang, Huang, Sun and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>O<sub>3</sub> pollution in China has been increasing in recent years, but the process of O<sub>3</sub> impact on net primary productivity of terrestrial ecosystems remains unclear. We attempts to explore a remote sensing-based method to assess the impact of O<sub>3</sub> on NPP of China&#x2019;s terrestrial ecosystems by combining MODIS NPP and the latest ground observation data of O<sub>3</sub> concentration. By comparing the NPP data of MODIS image pixels with the 6-year average AOT40 data of corresponding pixels, we extracted the signal data that highlighted the effects of O<sub>3</sub> on NPP and established the response relationships between AOT40 and NPP. It was found that NPP was significantly negatively correlated with AOT40 in farmland and grassland ecosystems in China (farmland: r &#x3d; 0.8674, <italic>p</italic> &#x3c; 0.003, grassland: r &#x3d; 0.7181, <italic>p</italic> &#x3c; 0.03). Then the response relationships were adopted to evaluate the effect in China in 2014. The results showed that the estimated percentage of O<sub>3</sub>-induced NPP decline was in the range of 5%&#x2013;35%. Among them, the most significant declines were found in farmland ecosystems, with the vast majority of declines in 10%&#x2013;35%. The decrease rate of evergreen coniferous forests ranked second, mostly in the range of 15%&#x2013;20%. The grassland ecosystems declined at a lower rate, almost between 5% and 15%. And the evergreen broad-leaved forests has the lowest decline rate, most distributed in 0%&#x2013;5%. The highest percentage decreases were mainly found in the Beijing-Tianjin-Hebei region and Shandong Province. And the decline rate of farmland ecosystems was significantly higher than other ecosystem types.</p>
</abstract>
<kwd-group>
<kwd>ozone pollution</kwd>
<kwd>MODIS NPP</kwd>
<kwd>AOT40</kwd>
<kwd>net primary productivity</kwd>
<kwd>China</kwd>
</kwd-group>
<contract-num rid="cn001">41971135</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Net primary productivity (NPP) is the total amount of organic matter fixed by vegetation per unit time and area, which reflects the capacity of vegetation to absorb carbon dioxide and is an important indicator to evaluate plant growth (<xref ref-type="bibr" rid="B13">Ma et al., 2022</xref>). Factors affecting NPP include temperature, precipitation, solar radiation, human activities and regional vegetation types (<xref ref-type="bibr" rid="B21">Tu et al., 2023</xref>; <xref ref-type="bibr" rid="B25">Xu et al., 2023</xref>). Surface O<sub>3</sub> is mostly a secondary pollutant generated from nitrogen oxides (NOx) and volatile organic compounds (VOCs) as precursors (<xref ref-type="bibr" rid="B9">Feng et al., 2018</xref>). When excessive O<sub>3</sub> enters plant cells, it causes damage or death of plant cells, and affects plant photosynthesis and respiration, thus affecting the NPP of terrestrial ecosystems (<xref ref-type="bibr" rid="B9">Feng et al., 2018</xref>). With the rapid economic development of China in recent years, the emission of NOx and VOCs from industries has increased, and O<sub>3</sub> pollution has become increasingly aggravated. Additionally, China has become one of the most serious countries in the world in terms of O<sub>3</sub> pollution (<xref ref-type="bibr" rid="B22">Wang et al., 2008</xref>). According to the 2019 China Ecological Environment Bulletin, China&#x2019;s air quality improved greatly during the 13th Five-Year Plan period, with the concentration of the atmospheric pollutant PM2.5 and other indicators decreasing. However, research (<xref ref-type="bibr" rid="B27">Zeng et al., 2019</xref>) showed that O<sub>3</sub> concentrations have been on a continuous upward trend from 2013&#x2013;2017 and have become the primary atmospheric pollutant. It was (<xref ref-type="bibr" rid="B17">Ren and tian., 2007</xref>) predicted that 50% of forest ecosystems on land will be exposed to high O<sub>3</sub> concentrations (&#x3e;60&#xa0;ppb) by 2,100, and forest productivity will be greatly affected. However, there are fewer domestic studies on the long-term effects of O<sub>3</sub> on ecosystems due to the difficulty of observations and experiments (<xref ref-type="bibr" rid="B17">Ren and tian., 2007</xref>). Among foreign studies, <xref ref-type="bibr" rid="B19">Shimzu et al. (2019)</xref> selected the Kanto region of Japan as the study area, constructed AOT40-NPP response relationships for different ecosystems, and assessed the effects of O<sub>3</sub> on NPP of vegetation such as evergreen coniferous forests in 2013. However, most domestic studies have focused on the effects of temperature and precipitation on NPP, such as <xref ref-type="bibr" rid="B15">Pan et al. (2015)</xref> studied the effects of climate change and extreme climate on global NPP in the first decade of the 21st century. <xref ref-type="bibr" rid="B11">Liu et al. (2018)</xref> studied the spatial pattern of grassland NPP and its relationship with hydro-thermal factors in China from 1993 to 2015. Some scholars have also conducted studies on the effects of O<sub>3</sub> on NPP (<xref ref-type="bibr" rid="B17">Ren and tian., 2007</xref>), who explored the effects of O<sub>3</sub> on the main processes of photosynthesis, allocation, growth and yield formation of terrestrial ecosystem productivity and its long-term effects on the whole ecosystem. In summary, it is necessary to study the effects of O<sub>3</sub> pollution on terrestrial ecosystem productivity in depth, but there is a lack of quantitative research on the effects of O<sub>3</sub> on NPP and a lack of research on O<sub>3</sub> pollution at the ecosystem level in China (<xref ref-type="bibr" rid="B5">Feng et al., 2019</xref>).</p>
<p>The effects of O<sub>3</sub> on plants are usually studied by controlled experiments using Open-Top Chamber (OTC) experiments or Free Air Control Enrichment (FACE) experiments, and the construction of response relationships helps to quantify the effects of O<sub>3</sub> on plants and to assess the effects of O<sub>3</sub> on plants over a large area. Most of the existing studies in China have constructed response relationships based on OTC<sub>S</sub> and O<sub>3</sub>-FACE mainly for major crop yields in China (<xref ref-type="bibr" rid="B8">Feng et al., 2020</xref>; <xref ref-type="bibr" rid="B7">Feng and peng, 2021</xref>), including winter wheat (<xref ref-type="bibr" rid="B4">Chen et al., 2011</xref>; <xref ref-type="bibr" rid="B6">Feng et al., 2011</xref>), rice (<xref ref-type="bibr" rid="B16">Pang et al., 2009</xref>; <xref ref-type="bibr" rid="B18">Shi et al., 2009</xref>; <xref ref-type="bibr" rid="B12">Luo et al., 2012</xref>), soybean (<xref ref-type="bibr" rid="B26">Yang et al., 2010</xref>), maize, oilseed rape (<xref ref-type="bibr" rid="B1">Bai et al., 2003</xref>; <xref ref-type="bibr" rid="B10">Feng et al., 2006</xref>), and spinach (<xref ref-type="bibr" rid="B2">Bai et al., 2004</xref>). Methods based on OTC<sub>S</sub> and O<sub>3</sub>-FACE controlled experiments can study response relationships more precisely, but they can only be based on a limited area, and their observation time is short, which is not conducive to the macroscopic assessments of ecosystems. In addition the quantitative study of the impact of O<sub>3</sub> on terrestrial ecosystems NPP is lacking in China. The studies on O<sub>3</sub> pollution effects were mostly focused on the more serious O<sub>3</sub> pollution regions such as Beijing-Tianjin-Hebei, Yangtze River Delta, and Pearl River Delta (<xref ref-type="bibr" rid="B8">Feng et al., 2020</xref>). But the limited number of stations is not conducive to the study at the ecosystem level. In summary, more complete data and new methods are needed to study the effect of O<sub>3</sub> on the NPP of ecosystems.</p>
<p>Remote sensing is a detection technology that emerged in the 1960s, which is based on the theory of electromagnetic waves, applying various sensors to collect, process, and finally image the electromagnetic wave information radiated and reflected by distant targets, so as to detect and identify various scenes on the ground. It has the advantage of efficiently collecting data over a large area. Based on the remote sensing information such as temperature, precipitation, and vegetation obtained from the MODIS sensor carried on the satellite, MOD17A3H NPP data were simulated using a productivity model, which has reliable simulation accuracy and can be inverted to obtain a nationwide NPP. The effects of O<sub>3</sub> on natural ecosystems have been studied mainly by observing O<sub>3</sub> concentrations and O<sub>3</sub> fluxes on terrestrial ecosystems and a series of O<sub>3</sub> concentration and flux assessment indicators, such as the dose response indicator AOT40, have been proposed. By constructing the response relationships between AOT40 and NPP, the impact assessment can be extended to a large regional scale.</p>
<p>Therefore, based on the latest release of ambient air quality site data, we use a new data processing method to produce a ground-based site observation O<sub>3</sub> concentration dataset with increased temporal resolution to hourly and spatial coverage across China. By combining multi-year (2014&#x2013;2019) MOD17A3H NPP data with the O<sub>3</sub> concentration dataset, we aim to explore a method to establish the AOT40-NPP response relationships for evergreen broad-leaved forests, evergreen coniferous forests, grassland, and farmland ecosystems in China. We also apply this response relationships to assess the impact of O<sub>3</sub> on the NPP of terrestrial ecosystems in China, thus attempting to quantify the impact. The methods used to construct the AOT40-NPP response relationships in this paper include: 1) using the Mann-Kendall mutation test to test for the presence of change mutation points. 2) Based on the idea of Jarvis multiplicative model, we proposed two constraints so as to isolate the signal data that can highlight the influence as the sample data for calculating the response relationships. 3) We selected the corresponding sample data to calculate the AOT40-NPP response relationships and their normalized slopes for evergreen coniferous forests, evergreen broad-leaved forests, farmland, and grassland ecosystems. 4) We apply the established response relationships to 2014 to assess the impact of O<sub>3</sub> on terrestrial ecosystem NPP.</p>
<p>
<xref ref-type="sec" rid="s2">Section 2</xref> introduces the study area, the spatial distribution of the four ecosystem types, small study areas according to climate zones and the spatial distribution of the ground-based observation sites for O<sub>3</sub> concentration. The original data and data processing methods used are also introduced, including: O<sub>3</sub> ground observation site data, MODI7A3H NPP data, and ecosystem classification data. Among them, the data cleaning methods used are described in detail. In addition, the monthly and annual cumulative values of AOT40 in the whole country and different ecosystem types were calculated. <xref ref-type="sec" rid="s3">Section 3</xref> presents the specific methods and steps to construct the AOT40-NPP response relationships. <xref ref-type="sec" rid="s4">Section 4</xref> shows the spatial and temporal distribution characteristics and multi-year change rates of the annual average AOT40 and NPP values for the whole country and different ecosystem types from 2014 to 2019, the correlation between the annual average AOT40 and NPP values, the constructed AOT40-NPP response relationships for the four major ecosystems, and the spatial distribution of the percentage of O<sub>3</sub>-induced NPP decline. <xref ref-type="sec" rid="s5">Section 5</xref> discusses the results of this study. <xref ref-type="sec" rid="s6">Section 6</xref> presents the conclusions.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>Remote sensing observation has the advantage of collecting large area data efficiently. Therefore, We combines MODIS data to expand the research area to the whole China, and studies the four ecosystems of evergreen coniferous forests, evergreen broad-leaved forests, farmland and grassland. Differences in temperature and precipitation in different regions will affect the NPP differently. In order to reduce the interference of climatic factors in the study, the whole Chinese region was divided into some small study regions based on climatic zones, namely,: I: North Temperate Zone, II: Middle Temperate Zone, III: South Temperate Zone, IV: North Subtropics, V: Middle Subtropics, VI: South Subtropics, VII: North Subtropics, VIII: Middle Tropics, H: Plateau Climate Zone. <xref ref-type="fig" rid="F1">Figure 1</xref> shows that farmland ecosystems are found mainly in III, parts of the II and the northernmost parts of IV, grassland ecosystems are found mainly in II and H, evergreen coniferous and evergreen broad-leaved forests are found mainly in V, VI, VII, and deciduous coniferous forests are found mainly in I.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Spatial coverage map of six major ecosystem types (from China Cover 2010) and spatial distribution map of O<sub>3</sub> ground observation stations in China, 2010 (from the China Air Quality Real-time Publishing Platform of China Environmental Monitoring Station, <ext-link ext-link-type="uri" xlink:href="http://www.cnemc.cn/sssj/">http://www.cnemc.cn/sssj/</ext-link>), Climate zoning data (from Resource and Enviroment Science and Data Center, <ext-link ext-link-type="uri" xlink:href="https://www.resdc.cn/Datalist1.%20aspx?FieldTyepID=4,5">https://www.resdc.cn/Datalist1. aspx?FieldTyepID&#x3d;4,5</ext-link>).</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 MODIS NPP</title>
<p>The MODIS NPP data used in this paper is derived from the United States Geological Survey (LP DAAC - MOD17A3H (usgs.gov)). The time series is from 2014 to 2019, the spatial resolution is 500&#xa0;m, the time resolution is 1 year, and the spatial coordinate system is WGS-1984 coordinate system (<xref ref-type="bibr" rid="B11">Liu et al., 2018</xref>). Remote sensing technology has the advantage of collecting large area data efficiently, which is suitable for constructing response relationships.</p>
<p>Based on the original data, we carried out the following processing in turn: extracting China&#x2018;s regional data, removing non-vegetation data, adjusting the spatial resolution to 10&#xa0;km, calculating the true value of NPP and unit conversion. Finally, we get the true value of NPP, whose unit is gC/m<sup>2</sup>/yr.</p>
</sec>
<sec id="s2-3">
<title>2.3 Processing O<sub>3</sub> concentration data</title>
<sec id="s2-3-1">
<title>2.3.1 O<sub>3</sub> concentration data</title>
<p>The original O<sub>3</sub> concentration data used in this paper comes from the China Air Quality Real-time Publishing Platform of China Environmental Monitoring Station (<ext-link ext-link-type="uri" xlink:href="http://www.cnemc.cn/sssj/">http://www.cnemc.cn/sssj/</ext-link>). There are about 1521 O<sub>3</sub> monitoring stations distributed in the whole country. The time series is from 2014 to 2019, the time resolution is 1h, and the unit is ug/m<sup>3</sup>. The specific information of the data is shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>O<sub>3</sub> concentration data of ground observation stations.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Data year</th>
<th align="center">Effective number of ground stations/total number of stations (n)</th>
<th align="center">Temporal resolution</th>
<th align="center">Unit</th>
<th align="center">Data size</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2014</td>
<td align="center">942/1,521</td>
<td align="center">hourly</td>
<td align="center">Ug/m&#xb3;</td>
<td align="center">365&#xa0;days&#x2a;24&#xa0;h&#x2a;n</td>
</tr>
<tr>
<td rowspan="6" align="center">2015</td>
<td align="center">Jan-Feb:1,494/1,521</td>
<td rowspan="6" align="center">hourly</td>
<td rowspan="6" align="center">Ug/m&#xb3;</td>
<td rowspan="6" align="center">365&#xa0;days&#x2a;24&#xa0;h&#x2a;n</td>
</tr>
<tr>
<td align="center">Mar: 1,495/1,521</td>
</tr>
<tr>
<td align="center">Apr: 1,496/1,521</td>
</tr>
<tr>
<td align="center">May-Jun: 1,497/1,521</td>
</tr>
<tr>
<td align="center">Jul: 1,498/1,521</td>
</tr>
<tr>
<td align="center">Aug-Dec:1,519/1,521</td>
</tr>
<tr>
<td align="center">2016</td>
<td align="center">1,492/1,521</td>
<td align="center">hourly</td>
<td align="center">Ug/m&#xb3;</td>
<td align="center">365&#xa0;days&#x2a;24&#xa0;h&#x2a;n</td>
</tr>
<tr>
<td align="center">2017</td>
<td align="center">1,521/1,521</td>
<td align="center">hourly</td>
<td align="center">Ug/m&#xb3;</td>
<td align="center">365&#xa0;days&#x2a;24&#xa0;h&#x2a;n</td>
</tr>
<tr>
<td align="center">2018</td>
<td align="center">1,521/1,521</td>
<td align="center">hourly</td>
<td align="center">Ug/m&#xb3;</td>
<td align="center">365&#xa0;days&#x2a;24&#xa0;h&#x2a;n</td>
</tr>
<tr>
<td align="center">2019</td>
<td align="center">1,521/1,521</td>
<td align="center">hourly</td>
<td align="center">Ug/m&#xb3;</td>
<td align="center">365&#xa0;days&#x2a;24&#xa0;h&#x2a;n</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The hourly O<sub>3</sub> concentration observation data were recorded at 1,521 stations across the country, and the invalid data included two categories: One is that some stations are invalid due to equipment damage and other reasons, and the observed data at all times are invalid values; the other is that some sites have default values in time series due to instrument damage and other reasons in some time periods, including &#x201c; _ &#x201d;, &#x201c; &#x2212;99&#x201d;or &#x201c; NAN &#x201d; values.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 O<sub>3</sub> concentration data processing</title>
<p>O<sub>3</sub> concentration data are usually derived from ground observation, remote sensing monitoring, model simulation, etc. With the significant increase in the number of ambient air quality sites in recent years, the new O<sub>3</sub> concentration data provides data support for research work. Therefore, based on the newly released O<sub>3</sub> ground observation station data, we obtains a data set closer to the real O<sub>3</sub> concentration on the surface. It has a spatial resolution of 10&#xa0;km and a temporal resolution of 1h, and covers the whole China region spatially with a time series of 2014&#x2013;2019. The data processing method is mainly divided into two parts: O<sub>3</sub> concentration data cleaning and China regional spatial interpolation.</p>
<p>The main purpose of data cleaning is to replace the default values. Due to the obvious monthly and daily variation of O<sub>3</sub> concentration, O<sub>3</sub> pollution is mainly concentrated in June and July in summer, spring and autumn come in second place, and basically no pollution in winter (<xref ref-type="bibr" rid="B28">Zhang et al., 2022</xref>). In the diurnal variation, the O<sub>3</sub> concentration usually reaches a low value at 6 : 00&#x2013;7 : 00, then the concentration rises rapidly, the concentration reaches a peak around 14 : 00&#x2013;15 : 00, and then begins to decline until the next morning. The O<sub>3</sub> concentration remained at a low value at night (<xref ref-type="bibr" rid="B24">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B29">Lin et al., 2022</xref>; <xref ref-type="bibr" rid="B28">Zhang et al., 2022</xref>). Therefore, spatial coordinate matching is first performed on the original input data. Secondly, the original data is cleaned, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The O<sub>3</sub> concentration data of each hour are judged as normal value or default value, and the original observation data are retained when judged as normal value; when it is judged to be the default value, the O<sub>3</sub> concentration at the site and time of the default value is estimated and replaced. The estimation of the default data is achieved by calculating the monthly scale mean and the weekly scale mean for each hour. The monthly scale mean refers to the arithmetic mean of the daily evaluation concentration in a calendar month, and the weekly scale mean refers to the arithmetic mean of the daily evaluation concentration in a calendar week. If the monthly scale mean is 0, representing that the current site has no valid data in this month&#x2018;s measurement, the current invalid site is deleted directly. If the monthly mean is not 0, the weekly mean continues to be calculated. Finally, the monthly and weekly mean values of surface O<sub>3</sub> concentration data from 2014 to 2019 were obtained. For the replacement process of the default value, the first step is to determine whether the observation value at the current time of the current site is valid data. If it is a default value, it is replaced in order of priority according to the weekly mean and monthly mean.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Process of surface observation O<sub>3</sub> concentration data cleaning algorithm.</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g002.tif"/>
</fig>
<p>ArcGIS 10.6 software was used for spatial interpolation. The inverse distance interpolation method was selected, in which the number of adjacent points was 20 and the power was 2, so as to obtain the hourly O<sub>3</sub> concentration data set with full coverage in China.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Annual AOT40 calculation</title>
<p>A series of evaluation indicators of O<sub>3</sub> concentration and flux are proposed (<xref ref-type="bibr" rid="B8">Feng et al., 2020</xref>). Including evaluation indicators based on O<sub>3</sub> concentration, O<sub>3</sub> dose and O<sub>3</sub> flux. The dose refers to the accumulation of O<sub>3</sub> concentration in a plant growth period, which is calculated by assigning different weights to O<sub>3</sub> concentration per hour, such as SUM06, W126, AOT40 (<xref ref-type="bibr" rid="B7">Feng and Peng, 2021</xref>). Such indicators take into account O<sub>3</sub> concentration, exposure time and plant tolerance to O<sub>3</sub> concentration, and are relatively simple to calculate. The AOT40 index is widely used, which is the accumulation of the difference between the hourly concentration of O<sub>3</sub> above 40&#xa0;nL&#xa0;L<sup>-1</sup> and 40&#xa0;nL&#xa0;L<sup>-1</sup>. In this paper, the effect of O<sub>3</sub> on NPP of terrestrial ecosystems was studied by AOT40 index. The calculation formula is as follows:<disp-formula id="e1">
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</sec>
<sec id="s2-5">
<title>2.5 Ecosystem classification data</title>
<p>The original data of ecological system classification used comes from China Cover 2010 data (<ext-link ext-link-type="uri" xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=3uoqIhG8C44YLTlOAiTRKibYlV5Vjs7ir5D84hng_y4D11vwp0rrta3RDv2Tx3hkXc19TbqMxdjxDMZ09MZGlf8qtkDSEgjR&amp;uniplatform=NZKPT">https://kns.cnki.net/kcms2/article/abstract?v&#x3d;3uoqIhG8C44YLTlOAiTRKibYlV5Vjs7ir5D84hng_y4D11vwp0rrta3RDv2Tx3hkXc19TbqMxdjxDMZ09MZGlf8qtkDSEgjR&#x26;uniplatform&#x3d;NZKPT</ext-link>), The spatial resolution was adjusted to 10&#xa0;km to keep consistent with the annual AOT40, and then the data of evergreen coniferous forests, evergreen broad-leaved forests, farmland and grassland ecosystems were extracted.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Methods and steps</title>
<sec id="s3-1">
<title>3.1 Establishment of AOT40-NPP response relationships</title>
<p>In previous studies, the relationship between the factors affecting NPP and the response of NPP was usually assumed to have a linear influence (Peng et al., 2022; <xref ref-type="bibr" rid="B23">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B19">Shimizu et al., 2019</xref>). This paper attempts to establish linear response relationships between AOT40 and NPP. The formula is as follows:<disp-formula id="e2">
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<p>Jarvis (<xref ref-type="bibr" rid="B30">Jarvis et al., 1976</xref>) estimated the leaf - level water vapor stomatal conductance using a multiplicative model. Yo Shimizu et al. applied this method of determining the limit function in the Jarvis model to estimate the AOT40-induced NPP decline. They believe that the top point of the scatter plot with annual AOT40 as the <italic>X</italic>-axis and annual NPP as the <italic>Y</italic>-axis represents the optimal regional data for all environments such as temperature, humidity, solar light intensity, and soil moisture at the corresponding AOT40 level. Therefore, the change of the top point reflects the relationship between NPP change and AOT40 increase to some extent (<xref ref-type="bibr" rid="B19">Shimizu et al., 2019</xref>).</p>
<p>The traditional AOT40 is calculated over a six-month period, which covers the period from April to September when most plants grow. In order to unify with the time resolution of MODIS NPP, we calculated the annual AOT40 value. The scatter plot of AOT40-NPP was drawn for each ecosystem type, where the <italic>X</italic>-axis is the annual AOT40 value and the <italic>Y</italic>-axis is the annual NPP value. In order to reduce the impact of interannual variation of O<sub>3</sub> pollution, the <italic>X</italic>-axis was adjusted to the 6-year AOT40 average.</p>
<p>It can be clearly seen from the scatter diagram, whether it is from the overall trend of 6-year data or the trend of every 1-year data, when the AOT40 value of the year increases to a certain extent, the annual NPP value of the top point tends to decrease continuously and stably with the increase of the annual AOT40 value. It is considered that &#x201c;continuous and stable downward trend &#x201d; indicates that the effect of AOT40 on NPP begins to highlight at this time. We attempts to separate the signal data showing &#x201c;continuous and stable downward trend&#x201d; by a certain method, and establish response relationships to quantify the relationship between AOT40 and NPP. The AOT40 value corresponding to the onset of a &#x201c;continuous and stable downward trend&#x201d; is called the annual AOT40 threshold.</p>
<p>Due to the need to extract the signal data after the annual AOT40 threshold, it is necessary to first obtain the annual AOT40 threshold of different ecosystems. Firstly, all pixel points of evergreen coniferous forests were extracted. Secondly, the scatter points (top points) with NPP value above 80% quantile were extracted as sample data A. For the sample data A, the scatter plot is drawn, the <italic>Y</italic>-axis is set as the annual NPP value, and the <italic>X</italic>-axis is adjusted to the annual average of AOT40 of 6 years to reduce the influence of AOT40 interannual variation, and the average is divided into 10 intervals. The average value of the annual NPP value in each interval is calculated to represent the overall data characteristics of the top point NPP in the AOT40 interval, and the midpoint value of the AOT40 interval is taken as the <italic>X</italic> value to draw 10 scatter points. Mann-Kendall mutation test method was used to test the signal mutation point. This method has no requirement for the distribution of samples and is less disturbed by a few outliers, so the results are reliable. In this paper, the Mann-Kendall mutation test is implemented by Python programming. The calculation formula is as follows:<disp-formula id="e4">
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<mml:mi>B</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>U</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>After determining the signal mutation point, this paper proposes two constraints to separate the signal data that can reflect the response relationships between AOT40 and NPP, which are.<list list-type="simple">
<list-item>
<p>1) the annual AOT40 value needs to exceed the annual AOT40 threshold of the corresponding ecosystem type;</p>
</list-item>
<list-item>
<p>2) Scatter from 1) for NPP values greater than 80% of the quantile points.</p>
</list-item>
</list>
</p>
<p>Firstly, the regional scatter points of annual AOT40 exceeding annual AOT40 threshold are extracted as sample data B, and then the scatter points of NPP value exceeding 80% quantile points in sample data B are extracted as sample data C to solve the slope of response relationship. The scatter plot is drawn for the extracted sample data C, and the <italic>X</italic>-axis is divided into 10 intervals on average. The average NPP value of each interval is calculated as the y value, and the midpoint value of the AOT40 interval is taken as the x value to obtain 10 scatter points. Then a linear regression fitting is performed to obtain the fitting line slope <inline-formula id="inf14">
<mml:math id="m23">
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The <inline-formula id="inf15">
<mml:math id="m24">
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value represents the NPP background value when the corresponding ecosystem type has just reached the annual AOT40 threshold and has not been significantly affected by O<sub>3</sub>, rather than the intercept in the mathematical sense of the fitted regression line. Therefore, for each ecosystem type, the average of its top point near the AOT40 threshold is calculated as the b value.</p>
</sec>
<sec id="s3-2">
<title>3.2 Calculation of O<sub>3</sub>-induced NPP decline percentage</title>
<p>For each type of ecosystem, the area where the annual AOT40 value reaches the corresponding ecosystem annual AOT40 threshold is selected as the evaluation area. Based on the established response relationships, the percentage of O<sub>3</sub>-induced NPP decline in this part of the region was calculated. The formula is as follows:<disp-formula id="e8">
<mml:math id="m25">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>The response relationship was then applied to the 2014 annual AOT40 image to obtain the NPP reduction percentage of each ecosystem type, as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>.</p>
</sec>
<sec id="s3-3">
<title>3.3 Annual trends of AOT40 and NPP from 2014 to 2019</title>
<p>In this paper, the trend analysis method is used to analyze the trend of annual AOT40 mean and annual NPP mean in China from 2014 to 2019, so as to obtain the change rate of AOT40 and NPP. The calculation formula is as follows:<disp-formula id="e9">
<mml:math id="m26">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mn>40</mml:mn>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>i</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>A</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mn>40</mml:mn>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <inline-formula id="inf16">
<mml:math id="m27">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the slope of the pixel regression equation, <inline-formula id="inf17">
<mml:math id="m28">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>40</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the average value of AOT40 in year <inline-formula id="inf18">
<mml:math id="m29">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf19">
<mml:math id="m30">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the length of time studied, <inline-formula id="inf20">
<mml:math id="m31">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>6</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> in this paper. When Slope &#x3e;0, it means that the pixel <inline-formula id="inf21">
<mml:math id="m32">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>40</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is an increasing trend; when <inline-formula id="inf22">
<mml:math id="m33">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, it means that the pixel <inline-formula id="inf23">
<mml:math id="m34">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>40</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is basically unchanged; when Slope &#x3c;0, it indicates that the pixel <inline-formula id="inf24">
<mml:math id="m35">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>T</mml:mi>
<mml:mn>40</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> is a decreasing trend. The change rate of NPP from 2014 to 2019 was calculated by the same method.</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<sec id="s4-1">
<title>4.1 Spatial-temporal characteristics and annual change rate of AOT40</title>
<p>The O<sub>3</sub> concentration dataset obtained by data cleaning and spatial interpolation in this paper has a spatial resolution of 10&#xa0;km and a temporal resolution including 1&#xa0;h, 1 day, 1 month and 1 year. The spatial coverage is the China region and the time series is 2014&#x2013;2019. This dataset removes and replaces default values to improve data availability and extends point data only located at observation locations to regional data at the Chinese scale. <xref ref-type="fig" rid="F3">Figure 3</xref> shows the spatial distribution of annual AOT40 (A-G), annual AOT40 trends H) and the climatic zoning map I) within the Chinese region from 2014&#x2013;2019. As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, the highest value of national annual AOT40 mainly occurs in Beijing, Tianjin and Hebei, Shanxi, Shandong, Henan and the northern regions of Jiangsu and Anhui in the Southern Temperate Zone, where the annual AOT40 values are higher than 20,000&#xa0;ppbh/yr. The second highest annual AOT40 values are found in the Inner Mongolian Plateau in the Middle Temperate Zone and in the southern regions of Jiangsu and Anhui in the Southern Temperate Zone, with annual AOT40 values above 14,000&#xa0;ppbh/yr. The annual AOT40 values in all other regions are relatively low, below 17,500&#xa0;ppbh/yr.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatial distribution of annual AOT40 <bold>(A&#x2013;G)</bold>, annual change rate of AOT40 <bold>(H)</bold> and Climate zone map <bold>(I)</bold>, 2014 to 2019. A slope greater than 0 indicates an upward trend in annual AOT40 values in <bold>(H)</bold>.</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g003.tif"/>
</fig>
<p>The annual AOT40 values during 2017&#x2013;2019 were generally higher relative to those during 2014&#x2013;2016, indicating that the O<sub>3</sub> pollution became more serious. During 2014&#x2013;2015, AOT40 in the Inner Mongolia Plateau region had significantly increased. During 2016&#x2013;2017, AOT40 in the Inner Mongolia Plateau region, the Middle Temperate Zone region, Jiangsu and the southern part of Anhui Province had significantly increased, indicating a significant deterioration of O<sub>3</sub> pollution.</p>
<p>From (H), it can be seen that the annual AOT40 value has been on an increasing trend for six years. Among them, the most significant increase was observed in the Southern Temperate Zone, including the south-central Shanxi province (annual growth rate &#x3e;6,000), southern Hebei, northern Henan, and some parts of Anhui (annual growth rate &#x3e;3,000). The second most pronounced increase is found in the Middle Temperate Zone, including the Inner Mongolia Autonomous Region, Gansu and a few other areas of the North China Plain, and the Guangxi Zhuang Autonomous Region (annual growth rate &#x3e;1,500). However, a few areas in Guangdong, Fujian and the Tibet Autonomous Region located in the subtropics show a decreasing trend (slope &#x3c;0).</p>
<p>The above results indicate that O<sub>3</sub> pollution is most serious in the Southern Temperate Zone and the Inner Mongolia Plateau region located in the Middle Temperate Zone nationwide during 2014&#x2013;2019, and their O<sub>3</sub> pollution intensification is most pronounced.</p>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the temporal variation of monthly AOT40 for different ecosystems from 2014 to 2019. Farmland and Grassland ecosystems are located in areas with the highest monthly AOT40, largely remaining around 2,000&#xa0;ppbh/yr. Evergreen coniferous and Evergreen broad-leaved forests have the second highest monthly AOT40, remaining around 1,000&#x2013;2,000&#xa0;ppbh/yr. Deciduous coniferous forests had the lowest monthly AOT40, remaining below 1,000&#xa0;ppbh/yr most of the time. The appeal results indicate that O<sub>3</sub> pollution is most severe in areas of Grassland and Farmland ecosystems. Areas where Evergreen coniferous and Evergreen broad-leaved forests are located have the second worst O<sub>3</sub> pollution. Areas where deciduous coniferous forests are located have no serious O<sub>3</sub> pollution. The inter-month variation in China&#x2019;s AOT40 values from 2014 to 2019 is very consistent with the inter-month variation in the regions where Farmland and Grassland ecosystems are located. Moreover, O<sub>3</sub> pollution has a clear seasonal effect, being most severe in summer and autumn, but less severe in spring and winter. Seasonal effects are most pronounced in Grassland and Farmland, second most pronounced in Evergreen coniferous and Deciduous coniferous forests, and less pronounced in Evergreen broad-leaved forests.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Monthly AOT40 spatial distribution, 2014&#x2013;2019, <bold>(A&#x2013;F)</bold> are China, Grassland, Farmland, Evergreen coniferous forests, Evergreen broad-leaved forests, Deciduous coniferous forests.</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g004.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Spatial-temporal characteristics and annual change rate of NPP</title>
<p>From <xref ref-type="fig" rid="F5">Figure 5</xref>, we can see that China&#x2019;s annual NPP values are higher in the east and south than in the west and north. Among them, Evergreen coniferous and Evergreen broad-leaved forests in subtropical regions have the highest annual NPP values, which range from 350&#x2013;1,500 gC/m<sup>2</sup>/yr; Farmland, Grassland and Deciduous coniferous forests have lower annual NPP values, which range from 350&#x2013;700&#xa0;gC/m<sup>2</sup>/yr. The annual NPP values of Farmland and Deciduous coniferous forests located in the Southern Temperate Zone showed a clear downward trend during 2014&#x2013;2015. The annual NPP values of Farmland located in the Subtropical Zone showed a clear downward trend during 2015&#x2013;2016 and 2018&#x2013;2019. The annual NPP values of other ecosystems did not change significantly. From H), it can be seen that annual NPP values in some areas of farmland, Deciduous coniferous forests and Grassland show a decreasing trend. The annual NPP of Evergreen coniferous and Evergreen broad-leaved forests showed an increasing trend in most regions and a decreasing trend in a few regions.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Spatial distribution of annual average NPP <bold>(A&#x2013;G)</bold> and annual change rate of NPP <bold>(H)</bold> in China from 2014 to 2019.</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g005.tif"/>
</fig>
<p>The above results indicate that there is a significant downward trend in the annual NPP values of Farmland, Deciduous coniferous forests and some areas of Grassland. However, there is no significant downward trend in either Evergreen coniferous or Evergreen broad-leaved forests during the period 2014&#x2013;2019.</p>
</sec>
<sec id="s4-3">
<title>4.3 Relationship between AOT40 and NPP</title>
<p>For the different ecosystem types, correlation coefficients and <italic>p</italic>-value between AOT40 and NPP were calculated for 2014&#x2013;2019 using all scatter points within that ecosystem region, as shown in <xref ref-type="table" rid="T2">Table 2</xref>. The 2014&#x2013;2019 annual average AOT40 and annual average NPP from the national scale and for each ecosystem other than Evergreen broad-leaved forests showed a non-significant negative correlation. Therefore, we needed to select the signal data to establish the response relationships.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Correlation between AOT40 and NPP for each ecosystem, 2014&#x2013;2019.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Ecosystem types</th>
<th align="center">r-value</th>
<th align="center">
<italic>p</italic>-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">China Region</td>
<td align="center">&#x2212;0.460</td>
<td align="center">0.359</td>
</tr>
<tr>
<td align="center">Evergreen coniferous forests</td>
<td align="center">&#x2212;0.071</td>
<td align="center">0.894</td>
</tr>
<tr>
<td align="center">Evergreen broad-leaved forests</td>
<td align="center">0.629</td>
<td align="center">0.181</td>
</tr>
<tr>
<td align="center">Farmland</td>
<td align="center">&#x2212;0.653</td>
<td align="center">0.159</td>
</tr>
<tr>
<td align="center">Grassland</td>
<td align="center">&#x2212;0.484</td>
<td align="center">0.331</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-4">
<title>4.4 The year AOT40 threshold and response relationships</title>
<p>AOT40 thresholds were obtained for Evergreen coniferous forests, Evergreen broad-leaved forests, Farmland and Grassland ecosystems based on the Mann-Kendall mutation point detection method. As shown in <xref ref-type="table" rid="T3">Table 3</xref>, the signal data were then extracted according to the constraints and we obtained the a-values, b-values and normalised slopes of the regression lines for each of the four ecosystems. When a&#x3c;0, it means that NPP is negatively correlated with AOT40.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>AOT40 thresholds, a, b and normalized slopes for each ecosystem.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Ecosystem types</th>
<th align="center">AOT40 threshold (ppb&#xb7;h/yr)</th>
<th align="center">a</th>
<th align="center">b</th>
<th align="center">Normalized slope</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Evergreen coniferous forests</td>
<td align="center">13,411</td>
<td align="center">- 0.0104</td>
<td align="center">966.51333</td>
<td align="center">1.076 &#xd7; 10<sup>&#x2212;5</sup>
</td>
</tr>
<tr>
<td align="center">Evergreen broad-leaved forests</td>
<td align="center">13,485</td>
<td align="center">
<bold>-</bold> 0.003487</td>
<td align="center">1,387.91875</td>
<td align="center">0.2512 &#xd7; 10<sup>&#x2212;5</sup>
</td>
</tr>
<tr>
<td align="center">Farmland</td>
<td align="center">11,741</td>
<td align="center">
<bold>-</bold> 0.00457</td>
<td align="center">628.91117</td>
<td align="center">0.7267 &#xd7; 10<sup>&#x2212;5</sup>
</td>
</tr>
<tr>
<td align="center">Grassland</td>
<td align="center">15,877</td>
<td align="center">
<bold>-</bold> 0.00224</td>
<td align="center">479.50508</td>
<td align="center">0.4671 &#xd7; 10<sup>&#x2212;5</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The scatter plots of the signal data separated from the four types of ecosystems are shown in <xref ref-type="fig" rid="F6">Figure 6</xref>, and the response relationships are as follows:<disp-formula id="equ3">
<mml:math id="m36">
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0104</mml:mn>
<mml:mi>x</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>966.51333</mml:mn>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.5164</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.1546</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ4">
<mml:math id="m37">
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.003487</mml:mn>
<mml:mi>x</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1387.91875</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.1959</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.6134</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ5">
<mml:math id="m38">
<mml:mrow>
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<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>6-year scatter plot and response relationships fitted line of annual NPP and annual AOT40 of four ecosystems.</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g006.tif"/>
</fig>
</sec>
<sec id="s4-5">
<title>4.5 O<sub>3</sub>-induced NPP decrease percentage</title>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> shows the spatial distribution of NPP decline induced by O<sub>3</sub> in 2014. In China, the estimated O<sub>3</sub>-induced NPP decline ranged from 5% to 35%. Among them, the decline rate of Farmland ecosystem was the most significant (in range of 5%&#x2013;35%), and most of the decline rate was 10%&#x2013;25%. The decline rate of Evergreen coniferous forests was the second (in range of 10%&#x2013;25%), mostly between 15% and 20%. The decline rate of Grassland ecosystem is low (in range of 5%&#x2013;20%), most of which is between 5% and 15%. The Evergreen broad-leaved forests have the lowest decline rate (in range of 0%&#x2013;10%), mostly between 0% and 5%. The regions with the highest percentage of NPP decline induced by O<sub>3</sub> in various ecosystem types are mainly Beijing-Tianjin-Hebei and Shandong. The decline rate of Farmland ecosystem in the study area was significantly higher than other ecosystem types.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Spatial distribution of the percentage of NPP decline induced by O<sub>3</sub> in the four major terrestrial ecosystems in China, <bold>(A)</bold> reflects the overall situation of the percentage of NPP decline induced by O<sub>3</sub> in the four major ecosystems, <bold>(B&#x2013;E)</bold> reflects the effects of O<sub>3</sub> on the NPP of Evergreen coniferous forest, Evergreen broad-leaved forest, Farmland and Grassland.</p>
</caption>
<graphic xlink:href="fenvs-11-1112874-g007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>Remote sensing is a detection technique that emerged in the 1960s and has the advantage of obtaining data with wide coverage and a long time span, which also facilitates the expansion of the spatial and temporal span of O<sub>3</sub> impacts on vegetation, thus facilitating the quantification of O<sub>3</sub> impacts on vegetation at the ecosystem level. Remote sensing also allows for fast and efficient acquisition of images and corresponding data, thus providing data to support studies at smaller time scales, such as hourly.</p>
<p>The MODIS NPP data used in this paper is derived from the NASA Earth Observing System and is simulated by the Light Energy Utilisation Model. The NDVI data obtained from MODIS for the inversion of NPP is affected by the sensitivity of the satellite sensors, cloud cover, satellite orbit, etc. Therefore, the MODIS data needs to be denoised at first. Although this process can improve the quality of the data, there are inevitable limitations in the denoising algorithm, which affects the accuracy of the inverse NPP data. Secondly, we, like previous researchers, assumed the AOT40-NPP correlation to be a linear response relationship, and thus fitted their response relationship a linear relationship. However, the AOT40-NPP correlation may be better described by a non-linear correlation, which is one of the directions to be further investigated. Finally, the spatial interpolation method used in this paper is ArcGIS&#x2019;s distance interpolation method, which inevitably has its own corresponding errors.</p>
</sec>
<sec id="s6">
<title>6 Conclusion and prospect</title>
<p>Based on the idea of Jarvis multiplication model, this paper proposes a method of constructing AOT40-NPP response relationships based on remote sensing technology combined with MOD17A3H NPP data, and applies the response relationship to evaluate the impact rate of O<sub>3</sub> on NPP in 2014. The results show that the established response relationship between Farmland and Grassland ecosystems has the highest correlation coefficients and strong significance, so the results are statistically significant. The percentage of NPP reduction induced by O<sub>3</sub> in 2014 was in the range of 5%&#x2013;35%. Among them, the decline rate of Farmland ecosystem is the most significant, mostly between 10% and 35%. The decline rate of evergreen coniferous forest is the second, mostly between 15% and 20%. The decline rate of Grassland ecosystem is low, mostly between 5% and 15%. The decline rate of Evergreen broad-leaved forests is the lowest, mostly between 0% and 5%. In addition, we have produced the O<sub>3</sub> concentrations dataset of ground-based observations over the Chinese region.</p>
<p>The prospects of the research work are as follows: 1) The limitation of the spatial resolution (10&#xa0;km) of the O<sub>3</sub> concentration dataset used in this paper leads to the possibility of mixing other types of vegetation within the same image element. Therefore, in the subsequent study, the spatial resolution of AOT40 spatially interpolated images and remote sensing images can be improved to analyze the effect of O<sub>3</sub> on NPP of specific species more precisely. 2) Since NPP is greatly influenced by environmental factors such as temperature and precipitation, in the subsequent study, the same ecosystem can be further divided into different regions according to the different climate zones they are located in, and the AOT40-NPP response relationships can be constructed separately for different climate zones to obtain more accurate assessment results.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>ZW and MH conceptualized this study. LH and ZW performed the analysis and wrote the paper. MH, HS, and QW contributed to reviewing and polishing the manuscript. All co-authors commented on and reviewed this manuscript. MH raised funds to support this study.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This research was supported by the National Natural Science Foundation of China (grant 41971135 and 41801082), and the Research program on the flora of Yunnan Province, the Sustainable Utilization of Vegetation Resources in Yunnan.</p>
</sec>
<ack>
<p>We thank the reviewers and the senior editor for their comments and suggestions, which helped improve the manuscript.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<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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