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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">1104039</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1104039</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Underestimated increase and intensification of humid-heat extremes across southeast China due to humidity data inhomogeneity</article-title>
<alt-title alt-title-type="left-running-head">Li 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.2022.1104039">10.3389/fenvs.2022.1104039</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Xuezhu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2090001/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Yang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Yani</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shi</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>An</surname>
<given-names>Ning</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liao</surname>
<given-names>Zhen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>State Key Laboratory of Severe Weather</institution>, <institution>Chinese Academy of Meteorological Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>National Meteorological Information Center</institution>, <addr-line>Beijing</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/989044/overview">Ming Luo</ext-link>, Sun Yat-sen University, 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/1332961/overview">Chao Li</ext-link>, East China Normal University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1566028/overview">Guojie Wang</ext-link>, Nanjing University of Information Science and Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yang Chen, <email>ychen@cma.gov.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>10</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1104039</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Li, Chen, Zhu, Shi, An and Liao.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Li, Chen, Zhu, Shi, An and Liao</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>When co-occurring with elevated levels of ambient relative humidity (RH), hot extremes are more perceivable and consequently more health-damaging. Quantifying changes in humid-heat extremes has therefore gained considerable scientific and societal attention, but a fundamental yet critical aspect to the estimation&#x2014;data reliability&#x2014;has been largely downplayed in previous analysis. By comparing &#x223c;10 observational and reanalysis datasets to fully-homogenized observations across China, we report ubiquitous inhomogeneity in RH series in these popularly-used datasets [including HadISD(H) and ERA5], which accordingly produce unrealistically strong drying trends 2&#x2013;3 times the homogenized dataset-based estimate during 1979&#x2013;2013 in warm-moist southeast China. Locally, an inhomogeneity-caused exaggeration of drying by a magnitude of 1% decade<sup>&#x2212;1</sup> translates into a significant underestimation of increasing rates for frequency and intensity of humid-heat extremes by more than 1.2&#xa0;days decade<sup>&#x2212;1</sup> and .07% decade<sup>&#x2212;1</sup> respectively. From a regional perspective, these inhomogeneous records have underestimated the frequency increase of extremes by up to 2&#xa0;days decade<sup>&#x2212;1</sup> and their intensification by up to .4&#xb0;C decade<sup>&#x2212;1</sup> in southeast China. Extremes identified <italic>via</italic> homogenized and non-homogenized datasets also differ in the bivariate joint distribution structure, with former cases featuring similarly hot temperatures yet discernably lower humidity.</p>
</abstract>
<kwd-group>
<kwd>humid-heat extremes</kwd>
<kwd>data inhomogeneity</kwd>
<kwd>relative humidity</kwd>
<kwd>drying bias</kwd>
<kwd>multivariate compound events</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>It is unequivocal that human influence has warmed the atmosphere, leading to more frequent, more intense, longer-lasting, and more widespread hot temperature extremes worldwide (<xref ref-type="bibr" rid="B36">IPCC, 2021</xref>). These hot extremes are a major cause of suffering and death as punctuated by some of the deadly cases such as the 2003 European event (&#x223c;70,000 mortality) and the 2010 Russian event (&#x223c;50,000 mortality, <xref ref-type="bibr" rid="B25">Hoag, 2014</xref>). The combination of extremely high temperatures with high humidity, i.e., the so-called humid-heat stress, represents a greater threat to human health, as it lowers the cooling efficiency of sweat, therefore making it difficult or even impossible for the body to prevent overheating (<xref ref-type="bibr" rid="B37">Mora et al., 2017</xref>; <xref ref-type="bibr" rid="B5">Buzan and Huber, 2020</xref>; <xref ref-type="bibr" rid="B36">IPCC, 2021</xref>; <xref ref-type="bibr" rid="B53">Vecellio et al., 2022</xref>). Hence, considerable efforts have been devoted to defining, monitoring and understanding extreme humid-heat events, based on diverse metrics configuring temperature and humidity as well as other relevant variables (e.g., winds and radiation) in different ways (<xref ref-type="bibr" rid="B12">Delworth et al., 1999</xref>; <xref ref-type="bibr" rid="B13">Diffenbaugh et al., 2007</xref>; <xref ref-type="bibr" rid="B50">Stull, 2011</xref>; <xref ref-type="bibr" rid="B61">Willett and Sherwood, 2012</xref>; <xref ref-type="bibr" rid="B20">Fischer and Knutti, 2013</xref>).</p>
<p>Regardless of metrics used, humid heat extremes have exhibited significantly increasing trends for frequency and intensity in most continents (<xref ref-type="bibr" rid="B41">Rogers et al., 2021</xref>; <xref ref-type="bibr" rid="B51">Tuholske et al., 2021</xref>). When incorporating humidity into the indices in a highly non-linear manner, these increases are markedly larger than their temperature-only counterparts (<xref ref-type="bibr" rid="B12">Delworth et al., 1999</xref>; <xref ref-type="bibr" rid="B57">Wang and Zhu, 2020</xref>; <xref ref-type="bibr" rid="B41">Rogers et al., 2021</xref>). Even at the current level of global warming, several populous regions, including North and South China, Eastern India, and the Middle East (<xref ref-type="bibr" rid="B22">Freychet et al., 2020</xref>; <xref ref-type="bibr" rid="B43">Saeed et al., 2021</xref>; <xref ref-type="bibr" rid="B38">Raymond et al., 2020</xref>; <xref ref-type="bibr" rid="B37">Mora et al., 2017</xref>), have experienced humid-heat extremes very close to or even above upper physiological limit. Though the survivability limits are still exceeded only on the rarest of occasions for now, the likelihood of exceedance is expected to grow rapidly in future warmer climates in these hotspots (<xref ref-type="bibr" rid="B19">Dunne et al., 2013</xref>; <xref ref-type="bibr" rid="B37">Mora et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Kang and Eltahir, 2018</xref>; <xref ref-type="bibr" rid="B43">Saeed et al., 2021</xref>).</p>
<p>For the bivariate extremes, data quality of both air temperature and relative humidity (RH) matters to the accuracy of estimate for their long-term changes, and hence to assessments of related human health impacts and risks as well as adaptation planning (<xref ref-type="bibr" rid="B46">Sherwood, 2018</xref>; <xref ref-type="bibr" rid="B4">Brouillet and Joussaume, 2019</xref>). In contrast to high-quality air temperature datasets provided by multiple agencies, observational records of relative humidity are subject to large uncertainties resulting primarily from data inhomogeneity, and thus should be used with caution (<xref ref-type="bibr" rid="B36">IPCC, 2021</xref>; <xref ref-type="bibr" rid="B45">Schr&#xf6;der et al., 2019</xref>). It has been observed that global mean and boreal midlatitude summer-mean surface RH slightly increased during 1973&#x2013;2000, followed by a steep decline based on the HadISDH (<xref ref-type="bibr" rid="B60">Willett et al., 2014</xref>; <xref ref-type="bibr" rid="B15">Douville and Plazzotta, 2017</xref>; <xref ref-type="bibr" rid="B16">Dunn et al., 2017</xref>); however, none of the CMIP5 models could capture such evolution. It is not yet clear if this discrepancy is related to the misrepresentation of internal variability in simulations or observational data inhomogeneity. <xref ref-type="bibr" rid="B6">Byrne and O&#x2019;Gorman (2018)</xref> provided a candidate theory suggesting that the observed negative trends for relative humidity over midlatitude continents were linked to warming over the neighbouring oceans. The observational and theoretical uncertainties along with the observation-simulation discrepancy, preclude any robust detection and attribution conclusion with respect to relative humidity changes (<xref ref-type="bibr" rid="B36">IPCC, 2021</xref>).</p>
<p>The inhomogeneity issue in relative humidity records stands out starkly over China, the southeastern parts in particular, which may be related to the technical defects of humidity sensors under high temperature and humidity environments there (<xref ref-type="bibr" rid="B67">Yu and Mu, 2008</xref>; <xref ref-type="bibr" rid="B69">Zhu et al., 2015</xref>). The dielectric parameter of the humicap varies volatilely at high humidity and even more drastically combined with high temperatures, making observed humidity deviating far from real values. Using quality-controlled yet non-homogenized observations, the annual China Climate Bulletin released before 2014 used to report a significant decreasing trend in nationwide surface RH (<xref ref-type="bibr" rid="B9">China Climate Bulletin, 2014</xref>); whilst turning to a homogenized RH dataset instead, RH is believed to remain essentially unchanged since 1961 as concluded in the post-2014 Bulletins. <xref ref-type="bibr" rid="B69">Zhu et al. (2015)</xref> detected break points in the RH series observed in more than 68% of stations across China, mainly occurring during 2000&#x2013;2005, coincident with the massive automation of the observing system. Without diving into the history of instrument replacement, conventional homogenization procedures by automatic software are reluctant to accurately detect and properly address potential region-wide inhomogeneities from the source (e.g., homogenized HadISDH, <xref ref-type="bibr" rid="B60">Willett et al., 2014</xref>).</p>
<p>Despite improved awareness of RH inhomogeneity (<xref ref-type="bibr" rid="B33">Li et al., 2020c</xref>; <xref ref-type="bibr" rid="B55">Wang and Sun, 2021</xref>; <xref ref-type="bibr" rid="B68">Zhang et al., 2021</xref>), the extent to which such inhomogeneity distorts the estimate for past and future changes in humid-heat extremes has been seldomly quantified (<xref ref-type="bibr" rid="B22">Freychet et al., 2020</xref>). The ERA5 (<xref ref-type="bibr" rid="B24">Hersbach et al., 2018</xref>) and HadISD (<xref ref-type="bibr" rid="B18">Dunn et al., 2016</xref>), are the most widely-used datasets to analyze humid-heat extremes at impact-relevant scales (sub-daily to daily) worldwide (<xref ref-type="bibr" rid="B32">Li et al., 2020b</xref>; <xref ref-type="bibr" rid="B38">Raymond et al., 2020</xref>; <xref ref-type="bibr" rid="B49">Speizer et al., 2022</xref>), with <italic>in-situ</italic> observations adding values to understanding on the regional heterogeneity (<xref ref-type="bibr" rid="B35">Luo and Lau, 2018</xref>; <xref ref-type="bibr" rid="B56">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B31">Li et al., 2020a</xref>). If RH is inhomogeneous in these datasets, the derived quantification of long-term changes in extremes would be biased. The recent availability of two homogenized RH datasets covering the domain of mainland China (<xref ref-type="bibr" rid="B69">Zhu et al., 2015</xref>; <xref ref-type="bibr" rid="B31">Li et al., 2020a</xref>) offers us a unique chance to revisit the existing understanding of humid-heat extremes in the populous region as a showcase, calling for more emphasis on the importance of RH data quality in characterizing the multivariate extreme event worldwide.</p>
<p>We do this by comprehensively comparing homogenized observations with popularly-used &#x223c;10 datasets including raw station-based observations, gridded observations and reanalysis (detailed information see <xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). In addition to the differences in local-to-regional changes in RH and humid-heat extremes, we will also compare the T-RH joint distribution during humid-heat extremes, i.e., the impact-relevant nature of events, in homogenized and non-homogenized datasets.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Data</title>
<p>There are currently two homogenized datasets including daily mean T and RH, available in China. One is based on raw daily records observed at 2,479 meteorological stations and was homogenized by using the PMTred and PMFT methods (<xref ref-type="bibr" rid="B59">Wang, 2008a</xref>; <xref ref-type="bibr" rid="B58">Wang, 2008b</xref>), with identified &#x201c;break points&#x201d; in the time series further manually double-checked with metadata to pin down its origin from any of site relocation, replacement/upgrading of observing instruments, or changes in observing timing and reporting protocol (<xref ref-type="bibr" rid="B69">Zhu et al., 2015</xref>, referred to as <bold>OBS-1</bold> and used as the reference hereafter). The other is homogenized with respect to a dataset containing 756 stations, alternatively using the MASH method but not compared to the metadata (<xref ref-type="bibr" rid="B31">Li et al., 2020a</xref>; termed as <bold>OBS-2</bold> hereafter). Raw daily observations from 2,479 stations across China are used for comparison, named OBS-3. Notably, the <bold>OBS-3</bold> is most commonly used to study humid-heat as well as other types (e.g., precipitation) of weather extremes across China. It was often claimed as &#x201c;a homogenized dataset&#x201d; (<xref ref-type="bibr" rid="B35">Luo and Lau, 2018</xref>; <xref ref-type="bibr" rid="B30">Kong et al., 2020</xref>) by referring to <xref ref-type="bibr" rid="B65">Xu et al. (2013)</xref>. As a matter of fact, the homogenization in <xref ref-type="bibr" rid="B65">Xu et al. (2013)</xref> was conducted with respect to daily temperatures only, and other variables in the datasets including RH were only quality-controlled by the data developer&#x2014;National Meteorological Information Center&#x2014;by means of detecting, flagging and correcting suspect/wrong values if possible (<xref ref-type="bibr" rid="B69">Zhu et al., 2015</xref>; <xref ref-type="bibr" rid="B64">Xu et al., 2021</xref>).</p>
<p>Three gridded datasets produced by site observations are also considered, including the CN05.1 (<xref ref-type="bibr" rid="B63">Wu and Gao, 2013</xref>) covering mainland China at a resolution of .25&#xb0;, the HadISD v3.3.0&#x2014;global sub-daily station dataset based on the ISD dataset from <ext-link ext-link-type="uri" xlink:href="http://www.noaa.gov/">NOAA&#x2019;s</ext-link> <ext-link ext-link-type="uri" xlink:href="http://www.ncdc.noaa.gov/">NCEI</ext-link>, where temperature, dewpoint temperature, sea-level pressure are quality controlled (<xref ref-type="bibr" rid="B18">Dunn et al., 2016</xref>), and the <ext-link ext-link-type="uri" xlink:href="http://www.metoffice.gov.uk/hadobs/hadisd">HadISD</ext-link>H&#x2014;homogenized global gridded (5&#xb0; &#xd7; 5&#xb0;) monthly mean land surface air temperature and humidity datasets based on the <ext-link ext-link-type="uri" xlink:href="http://www.metoffice.gov.uk/hadobs/hadisd">HadISD</ext-link> dataset (<xref ref-type="bibr" rid="B48">Smith et al., 2011</xref>; <xref ref-type="bibr" rid="B60">Willett et al., 2014</xref>).</p>
<p>As a supplement or sometimes proxy to observations, reanalysis data with greater spatial coverage and fewer missing values is also broadly taken for the analysis of humid-heat extremes both globally and regionally. The potential inhomogeneity of reanalyzed relative humidity, however, has been seldomly noted and examined. To this end, we also collected reanalysis data for RH as many as possible, including ERA5 (.25&#xb0; &#xd7; .25&#xb0;, <xref ref-type="bibr" rid="B24">Hersbach et al., 2018</xref>), ERA-Interim (.75&#xb0; &#xd7; .75&#xb0;, <xref ref-type="bibr" rid="B11">Dee et al., 2011</xref>), JRA-55 (.8&#xb0; &#xd7; .8&#xb0;, <xref ref-type="bibr" rid="B26">Kobayashi et al., 2015</xref>), NCEP-DOE 2 (2.5&#xb0; &#xd7; 2.5&#xb0;, <xref ref-type="bibr" rid="B27">Kanamitsu et al., 2002</xref>), and CRA-40 (.125&#xb0; &#xd7; .8&#xb0;, <xref ref-type="bibr" rid="B34">Liao et al., 2021</xref>). Detailed information on datasets used could be found in <xref ref-type="sec" rid="s11">Supplementary Table S1</xref>.</p>
<p>Given that period common to observations and reanalysis datasets started in 1979 and the formal homogenization for OBS-1 was conducted with respect to raw records before 2014, a 35-year period over 1979&#x2013;2013 is selected for comparison amongst datasets. Though the homogenized dataset&#x2014;OBS-1 is claimed to be extended to the very recent, the extension was actually made by simply concatenating post-2013 automatic observations, which are found potentially inhomogeneous again due to the re-parameterization of the automatic observing instrument. So further homogenization efforts are needed to reconcile period-specific inhomogeneities stemming from different sources.</p>
</sec>
<sec id="s2-2">
<title>2.2 Data pre-processing, metrics, extremes and methods</title>
<p>Before conducting the analysis, all reanalysis data are adjusted by their scaling and offsetting factors specified in the netcdf files. Also, the time zone of each dataset is converted to local standard time of homogenized station observations to guarantee the consistency of follow-up comparisons.</p>
<p>Given closer relevance of summertime humid heat stress to human health impacts, we put our focus on the summer season spanning from June to August. In the OBS-1 and OBS-3 datasets, we only use 2,270 stations that operate continuously throughout the study period without missing values. Since HadISDH only provides monthly-mean data and unknown errors of CRA-40 temperature data occur in 2013 (details see below), these two sets of data are not involved in the calculation of extreme events.</p>
<p>Heat stress indicators that characterize human thermal discomfort due to high air temperature and humidity are diverse, with varying levels of equation complexity, input parameters and their weightings, and physiological assumptions (e.g., a person of average height, weight, health, and in moderate clothing). All indices consider T and RH. We here adopt three representative indices, including wet-bulb temperature (Tw), wet-bulb globe temperature (WBGT), and NOAA-developed heat index (HI), to account for linear and non-linear combinations between heat and humidity (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>) as well as their distinct impacts on human health (<xref ref-type="bibr" rid="B5">Buzan and Huber, 2020</xref>). The multi-indices comparison also acknowledges their different sensitivities to RH (<xref ref-type="bibr" rid="B46">Sherwood, 2018</xref>), especially in extreme states (<xref ref-type="bibr" rid="B5">Buzan and Huber, 2020</xref>), thus acting to strengthen the robustness of our quantification of influences from RH inhomogeneity on trend estimates for humid-heat extremes.</p>
<p>The thermodynamic wet bulb temperature (Tw) refers to the temperature of wet air when it changes adiabatically to the saturated state, and is usually measured by a wet bulb thermometer. Given Tw above 31&#xb0;C physical labor becomes difficult (<xref ref-type="bibr" rid="B47">Sherwood and Huber, 2010</xref>); while, when its value approaches or even exceeds 35&#xb0;C, evaporative cooling from sweating is no longer effective as a means of dissipating body heat. Some recent pieces of evidence also point to the danger of much lower Tw values to even young, healthy people (<xref ref-type="bibr" rid="B2">Asseng et al., 2021</xref>; <xref ref-type="bibr" rid="B53">Vecellio et al., 2022</xref>). Considering the availability of observational meteorological variables, we follow the empirical expression of Tw proposed by <xref ref-type="bibr" rid="B50">Stull (2011)</xref> that:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
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<mml:mi mathvariant="bold">w</mml:mi>
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<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="bold-italic">atan</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">8.313659</mml:mn>
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<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
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<mml:mo>%</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">1.676331</mml:mn>
</mml:mrow>
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</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">0.00391838</mml:mn>
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<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:msup>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="bold-italic">atan</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">0.023101</mml:mn>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">4.686035</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>WBGT is another typical measure of heat stress expressed as a linear combination of wet-bulb temperature, black globe temperature, and air temperature (<xref ref-type="bibr" rid="B66">Yaglou and Minard, 1957</xref>). The WBGT is employed as the ISO standard for thermal comfort (<xref ref-type="bibr" rid="B26">ISO, 1989</xref>) and is in use by a number of bodies including the military, civil engineers, and sports associations, with established thresholds relating directly to levels of physical activity (<xref ref-type="bibr" rid="B61">Willett and Sherwood, 2012</xref>). Considering the availability of variables used for calculation, we here adopt a &#x201c;simplified WBGT&#x201d; (sWBGT) version, developed by the Australian Bureau of Meteorology (<xref ref-type="bibr" rid="B1">ACSM, 1984</xref>), which depends only on T and humidity and represents heat stress for average daytime shady conditions outdoors (<xref ref-type="bibr" rid="B61">Willett Sherwood, 2012</xref>; <xref ref-type="bibr" rid="B20">Fischer and Knutti, 2013</xref>):<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="bold">s</mml:mi>
<mml:mi mathvariant="bold">W</mml:mi>
<mml:mi mathvariant="bold">B</mml:mi>
<mml:mi mathvariant="bold">G</mml:mi>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">0.56</mml:mn>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">0.393</mml:mn>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">3.94</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>where water vapor pressure <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is expressed as a function of air T and RH:<disp-formula id="equ3">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">H</mml:mi>
</mml:mrow>
<mml:mn mathvariant="bold">100</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mn mathvariant="bold">6.105</mml:mn>
<mml:msup>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mn mathvariant="bold">17.27</mml:mn>
<mml:mi mathvariant="bold-italic">T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">237.7</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">T</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msup>
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</disp-formula>
</p>
<p>The third index used here is the HI developed by <xref ref-type="bibr" rid="B42">Rothfusz (1990)</xref> and further refined and recommended by the National Oceanic and Atmospheric Administration (NOAA) with explicit thresholds warning of different levels of danger (<xref ref-type="bibr" rid="B13">Diffenbaugh et al., 2007</xref>). The HI is directly comparable to air temperature, with their difference informing the feels-like amplification effect of moisture on T (<xref ref-type="bibr" rid="B12">Delworth et al., 1999</xref>). The index is expressed as a polynomial equation composed of T and RH:<disp-formula id="equ4">
<mml:math id="m5">
<mml:mrow>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mi mathvariant="bold">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">42.379</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">2.04901523</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">10.14333127</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">0.22475541</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">0.00683783</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">0.05481717</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">0.00122874</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">0.00085282</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">0.00000199</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>where T is air temperature in degrees F and RH is RH in percent.</p>
<p>If the RH is less than 13% and the temperature falls between 80&#xb0; and 112&#xb0;F, then the following adjustment needs to be subtracted from HI:<disp-formula id="equ5">
<mml:math id="m6">
<mml:mrow>
<mml:mi mathvariant="bold">A</mml:mi>
<mml:mi mathvariant="bold">d</mml:mi>
<mml:mi mathvariant="bold">j</mml:mi>
<mml:mi mathvariant="bold">u</mml:mi>
<mml:mi mathvariant="bold">s</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mi mathvariant="bold">m</mml:mi>
<mml:mi mathvariant="bold">e</mml:mi>
<mml:mi mathvariant="bold">n</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">13</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">4</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">17</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mi mathvariant="bold-italic">B</mml:mi>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">95</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">17</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>On the other hand, if the RH is greater than 85% and the temperature is between 80&#xb0; and 87&#xb0;F, then the following adjustment is added to HI:<disp-formula id="equ6">
<mml:math id="m7">
<mml:mrow>
<mml:mi mathvariant="bold">A</mml:mi>
<mml:mi mathvariant="bold">d</mml:mi>
<mml:mi mathvariant="bold">j</mml:mi>
<mml:mi mathvariant="bold">u</mml:mi>
<mml:mi mathvariant="bold">s</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mi mathvariant="bold">m</mml:mi>
<mml:mi mathvariant="bold">e</mml:mi>
<mml:mi mathvariant="bold">n</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">85</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">10</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">87</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold">T</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">5</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>In case that conditions of temperature and humidity warrant a HI value below 80&#xb0;F, HI is re-calculated as:<disp-formula id="equ7">
<mml:math id="m8">
<mml:mrow>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mi mathvariant="bold">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">0.5</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">61.0</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">68.0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mn mathvariant="bold">1.2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold">R</mml:mi>
<mml:mi mathvariant="bold">H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mn mathvariant="bold">0.094</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>All heat stress indices are finally converted to values in &#xb0;C.</p>
<p>For each station or grid, summertime daily heat stress values are firstly calculated based on the aforementioned three indices respectively, and then all samples during 1979&#x2013;2008 (a 30-year reference period) are pooled and empirically ranked to obtain local 95th percentiles of each heat stress index used as thresholds to identify their extremes.</p>
<p>With respect to the index considered, we count the number of threshold-exceeding days in each summer as the frequency of extreme humid-heat events, and the average amongst these extreme heat stress values represents the mean intensity of extremes of the year.</p>
<p>Given the same network density of OBS-1 and OBS-3, biases in the trend estimate for T, RH and extreme heat stress due to data inhomogeneity could be measured by a direct site-to-site comparison; whilst as with the comparison between station observations and gridded observations/reanalysis of different resolutions, we prepare a box-average series using all stations or grids at a scale of 5&#xb0; &#xd7; 5&#xb0;, and calculate the areal-weighted mean of box values across a region to produce the regional-mean series. We did not interpolate station- and gridded- data onto the same mesh grid, to avoid untraceable uncertainties from interpolation algorithms.</p>
<p>We use ordinary least squares scheme to quantify linear trends for T, RH and extreme events, along with students&#x2019; <italic>t</italic>-test to evaluate the significance (at the .05 level). As a cross-validation, we additionally employ Kendall&#x2019;s tau slope estimator (results now shown), and report highly consistent results in terms of both trend magnitude and significance. To isolate and quantify the influence of RH inhomogeneity on the estimate for changes in extreme humid-heat events at a local scale (<xref ref-type="fig" rid="F3">Figure 3</xref>), we configure homogenized T from the OBS-1 to both homogenized RH (OBS-1) and raw RH (OBS-3). More specifically, we regress station-based differences in trends for extremes evaluated <italic>via</italic> homogenized and non-homogenized data onto the underlying differences in RH trends.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>During 1979&#x2013;2013, daily mean air temperature exhibits significant warming trends across China in both homogenized and raw site observations (<xref ref-type="fig" rid="F1">Figures 1A, B</xref>), characteristic of highly similar spatial patterns and local-to-regional magnitudes for trends between the two (<xref ref-type="fig" rid="F1">Figure 1C</xref>). This suggests a minor influence of potential temporal inhomogeneity in T on the estimate for long-term changes of the variable. By contrast, the pattern, magnitude, significance and even the sign of trends for RH differ pronouncedly between homogenized and non-homogenized station-based observational datasets. The inhomogeneity issue in relative humidity is particularly stark in southeast China (south of 30N, east of 105E, black rectangle in <xref ref-type="fig" rid="F1">Figures 1D, E</xref>), leading to widespread biases in trend estimates for RH with incorrect signs there (<xref ref-type="fig" rid="F1">Figure 1F</xref>). The region (black rectangle) is typical of humid-hot subtropical climates in favor of the occurrence of oppressive heat (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>; <xref ref-type="bibr" rid="B52">Vargas Zeppetello et al., 2022</xref>) with the two variables playing equivalently important roles to cause extremes there (<xref ref-type="bibr" rid="B5">Buzan and Huber, 2020</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Trends for summertime T and RH in China during 1979&#x2013;2013. <bold>(A,B)</bold> show T trends (&#xb0;C per decade) estimated by OBS-1 (homogenized) and OBS-3 (non-homogenized), respectively. The box-and-whisker plots shown in <bold>(C)</bold> presents the distribution of T trends amongst stations within each 5&#xb0;latitudinal band, including the 5th, 25th, median, 75th, and 95th percentiles in OBS-1 (black) and OBS-3 (red). The numbers labeled to the negative/positive side of the <italic>x</italic>-axis indicate the fraction of stations observing negative/positive trends within the latitudinal band, in which the fraction of station registering significant trends are bold-highlighted in the second column. <bold>(D&#x2013;F)</bold> are the same as <bold>(A&#x2013;C)</bold> but for RH.</p>
</caption>
<graphic xlink:href="fenvs-10-1104039-g001.tif"/>
</fig>
<p>With respect to the identified RH inhomogeneity hotspot, we further expand the comparison to gridded observations and widely-used reanalysis data at a regional scale. Large interannual to inter-decadal variability could be found in the domain-average RH series in homogenized observations (black curve, OBS-1, <xref ref-type="fig" rid="F2">Figure 2A</xref>), experiencing a relatively wet regime before 2000 followed by a shift to a dry episode. This might be explained <italic>via</italic> a moist static energy balance perspective in the context of equal fractional changes in specific humidity over land and neighboring oceans (<xref ref-type="bibr" rid="B6">Byrne and O&#x2019;Gorman, 2018</xref>) through remote moisture transport and local evapotranspiration processes (<xref ref-type="bibr" rid="B7">Byrne and O&#x2019;Gorman, 2016</xref>; <xref ref-type="bibr" rid="B14">Douville et al., 2020</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Domain-averaged series of RH over southeastern China during 1979&#x2013;2013 based on eleven datasets <bold>(A)</bold> and their linear trends <bold>(B)</bold>. The RH series is pre-processing into anomalies with respect to the 1979&#x2013;2008 climatology. The error bars in <bold>(B)</bold> enclose the 95% confidence interval of trend estimates, with symbols &#x201c;&#x2a;&#x2a;&#x201d; and &#x201c;&#x2a;&#x2a;&#x2a;&#x201d; indicating their significance at the .05 and .01 levels respectively.</p>
</caption>
<graphic xlink:href="fenvs-10-1104039-g002.tif"/>
</fig>
<p>Though the regional variability is generally captured by other datasets, the RH drop around 2000, when coincidentally the observational network across China shifted from manual to automatic practices (2000&#x2013;2005), is exaggerated in non-homogenized datasets (except for CRA-40). This is mainly because of the systematic difference in manual and automatic observing instruments, with the lower values recorded in the latter period (e.g., <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>, RH) deemed more accurate and used since then (<xref ref-type="bibr" rid="B69">Zhu et al., 2015</xref>). The inhomogeneity gives rise to long-term drying trends of unrealistically high magnitude and significance (<xref ref-type="fig" rid="F2">Figure 2B</xref>). Specifically, the regional drying rate estimated by OBS-1 is around &#x2212;.47%/decade; while the estimate based on OBS-3 is &#x2212;1.43%/decade, almost three times sharper than the correct one. In particular, the HadISDH was commonly used as homogenized observations to calculate heat stress indices globally (<xref ref-type="bibr" rid="B38">Raymond et al., 2020</xref>; <xref ref-type="bibr" rid="B41">Rogers et al., 2021</xref>). Our analysis brings into question the homogeneity of HadISDH over southeastern China, suggesting that detecting region-wide inhomogeneities by automated methods (<xref ref-type="bibr" rid="B17">Dunn et al., 2014</xref>) without knowing detailed histories of station information (e.g., relocation and instrument replacement) might be less effective than expected. Another extensively-used dataset&#x2014;ERA5 also suffers from severe inhomogeneities in RH for the region, and is therefore not suitable to characterize humid-heat extremes at sub-daily to daily scales in the region (<xref ref-type="bibr" rid="B22">Freychet et al., 2020</xref>). Encouragingly, incorporating into homogenized station observations (OBS-1), the CRA-40 reanalysis newly released by the China Meteorological Administration performs well in reproducing both variability and trends of RH in southeastern China. Though expanding the study region northward to 35N does not alter the comparison of trend magnitude and significance amongst datasets in any significant manner (figure omitted), it might introduce confounding factors related to differential representation of irrigation in the 30&#x2013;35N latitudinal band, an intensely irrigated region (<xref ref-type="bibr" rid="B28">Kang and Eltahir, 2018</xref>). So, to distinguish influences of data inhomogeneity from other similar confounding factors, southeastern China to the south of 30N is a better candidate study area.</p>
<p>Though air temperature records were also subject to changes in observing sites, instruments and timing, the inhomogeneities from these sources seemed to pose a trivial influence on the temporal variability and long-term trends as well as their significance of domain-averaged series of air temperature (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>, OBS-1 and OBS-2 vs. OBS-3). The differences in magnitudes and significances of trends for air temperature amongst datasets are much less conspicuous than those for relative humidity. Notably, despite better performance in representing RH during 1979&#x2013;2013 in CRA-40, for unknown reasons, its temperature records in 2013 are inconsistent with counterparts from any of other datasets. This year&#x2019;s error in temperature records has reported back to the data developer for improvement, and the flaw also excludes CRA-40 for participation in follow-up analysis on extremes.</p>
<p>We next quantify extent to which the RH inhomogeneity in observation and reanalysis datasets distorts the trend estimate for humid-heat metrics, similarly starting with a site-by-site comparison (OBS-1 vs. OBS-3). We do this by regressing the differential trends for extremes in homogenized and non-homogenized observations onto the differences of RH trends in them (homogeneous trend minus non-homogeneous one). As indicated by <xref ref-type="fig" rid="F3">Figures 3A&#x2013;C</xref>, given the same atmospheric warming (local trends for T from OBS-1), an exaggeration of drying trend by 1% decade<sup>&#x2212;1</sup> due to RH inhomogeneity translates into an underestimation of increasing trends for humid-heat extremes&#x2019; frequency by more than 1.2&#xa0;days decade<sup>&#x2212;1</sup>, with extreme sWBGT events influenced most. The RH inhomogeneity also significantly abates the intensification rates of extreme humid-heat events, especially those resulting from the highly non-linear combination between T and RH as showcased by the HI index (<xref ref-type="fig" rid="F3">Figures 3D&#x2013;F</xref>; also <xref ref-type="sec" rid="s11">Supplementary Figures S4A&#x2013;C</xref>). Locally, an 1% decade<sup>&#x2212;1</sup> drying bias caused by the RH inhomogeneity leads to an underestimation of intensification rates (absolute trends normalized by local index climatology, for the purpose of objective comparison amongst indices) for HI extremes by around .19% decade<sup>&#x2212;1</sup>, equivalent to a bias around .07&#xb0;C decade<sup>&#x2212;1</sup> there (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Influences of local RH trend bias (homogenized OBS1 minus non-homogenized OBS3) on the estimate for trends for frequency <bold>(A&#x2013;C)</bold> and intensity <bold>(D&#x2013;F)</bold> of humid-heat extremes across southeast China, identified using three indicators. To improve comparability in intensity amongst indicators <bold>(D&#x2013;F)</bold>, the trend for intensity at each station is normalized by local indicator climatology. Linear regressions are shown by black curves and the 95% regression confidence intervals are shaded in grey, with regression coefficients (Slope) and significance (P) indicated at the lower-right of each panel.</p>
</caption>
<graphic xlink:href="fenvs-10-1104039-g003.tif"/>
</fig>
<p>For the domain-average series of frequency, with reference to the trend evaluated <italic>via</italic> homogenized data, all non-homogenized datasets discernably underestimate the increase, by the magnitudes ranging from .5 to 2&#xa0;days decade<sup>&#x2212;1</sup>, basically proportional to the regional drying biases (both the <italic>X</italic>-axis and <italic>Y</italic>-axis represent the homogenized OBS-1 minus other datasets). The limited sample size (&#x223c;9 datasets) prohibits us from further evaluating the significance of such relationship. Despite being widely used, the HadISD and ERA5 datasets are amongst the worst that considerably underestimate past increases in the frequency of humid-heat extremes (<xref ref-type="fig" rid="F4">Figure 4</xref>). Their bad performance arises jointly from an overestimation of the RH drying rate and an underestimation of the warming trend (<xref ref-type="sec" rid="s11">Supplementary Figure S5</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Scatter plot&#x2013;between regional-mean (southeast China) RH trend bias and extreme events&#x2019; frequency <bold>(A&#x2013;C)</bold>/intensity <bold>(D&#x2013;F)</bold> trend bias, amongst inhomogeneous datasets with reference to homogenized one (OBS-1, black dot in the center).</p>
</caption>
<graphic xlink:href="fenvs-10-1104039-g004.tif"/>
</fig>
<p>Notably, despite significant negative correlation between air temperature and relative humidity at the regional scale, we did not find the cancellation or say compensation effect between greater warming and stronger RH reduction biases in the same dataset (<xref ref-type="sec" rid="s11">Supplementary Figure S5</xref>) as reported in historical simulations and future projections (<xref ref-type="bibr" rid="B20">Fischer and Knutti, 2013</xref>), except for NCEP2 which shows the strongest negative correlation between the two variables. Rather, slightly weaker warming trends and drying bias in RH trends in tandem contribute to an underestimation of regional increases in humid-heat extremes in frequency and intensity, with the &#x201c;out-of-range&#x201d; RH bias (outside the grey shadings in <xref ref-type="sec" rid="s11">Supplementary Figure S5</xref>) dominating in most datasets. Even for NCEP2 seemingly most faithfully reproducing extremes&#x2019; statistics, such better performance apparent arises from the wrong reason, and therefore should not be further leveraged as a reliable benchmark for model evaluation and impact quantification (<xref ref-type="bibr" rid="B8">Casanueva et al., 2019</xref>). Similar &#x201c;right statistics for wrong reason&#x201d; might exist at local scales where the T-RH anti-correlation is even stronger (e.g., &#x3c;&#x2212;.85).</p>
<p>When referring to extreme humid-heat conditions, the combination in a fashion of high temperature and high humidity comes to one&#x2019;s mind first and naturally. But as a matter of fact, extreme humid-heat events represent a typical case that not all of its components are necessarily extreme, but their combination leads to an extreme impact (<xref ref-type="bibr" rid="B70">Zscheischler et al., 2018</xref>). Different forms of joint distributions of temperature and humidity during extreme humid-heat events are worth further sorting out, because they might cause distinct impacts on human health (<xref ref-type="bibr" rid="B37">Mora et al., 2017</xref>; <xref ref-type="bibr" rid="B2">Asseng et al., 2021</xref>).</p>
<p>Compared to humid-heat extremes previously identified by non-homogenized observations (OBS-3), counterparts from homogenized observations are similarly warm (mostly within the range of 25&#x2013;33&#xb0;C, <xref ref-type="sec" rid="s11">Supplementary Figure S6</xref>) but not necessarily that moist, regardless of indicators selected (<xref ref-type="fig" rid="F5">Figure 5</xref>). Quantitatively, we used to believe that the majority of extremes (around 60%&#x2013;80% events across the region) occurred in the context of RH wetter than 70%; while subject to the homogenization correction, the understanding is revised into that the conventionally favorable thermodynamic environment host only half of extremes. Such a contrast in the RH constituent to extremes is also ubiquitous amongst other observation and reanalysis datasets (<xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>). In particular, though the bivariate distribution difference is largely determined by RH biases, the temperature difference also plays a non-trivial role in shaping the differential joint distribution structure in some datasets, e.g., ERA5 (<xref ref-type="sec" rid="s11">Supplementary Figure S7E</xref>) and NCEP2 (<xref ref-type="sec" rid="s11">Supplementary Figure S7G</xref>). In addition to the absolute magnitude for humid-heat extremes, the accurate mapping of typical bivariate configuration constituting the extremes, based on homogenized datasets, matters to identification of key thresholds for early warning against health-damaging events (<xref ref-type="bibr" rid="B23">Han et al., 2022</xref>; <xref ref-type="bibr" rid="B53">Vecellio et al., 2022</xref>). In light of the distinct bivariate distribution structures (<xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>) along with the harder-detectable inhomogeneity in the bivariate combined indices (e.g., <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>, Tw), a component-wise bias correction technique might be superior to an &#x201c;one-step&#x201d; correction scheme with respect to the combined index, for both observations and simulations (<xref ref-type="bibr" rid="B8">Casanueva et al., 2019</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The difference (homogenized minus non-homogenized) in the bivariate joint distribution of T and RH which produce three type extreme events <bold>(A-C)</bold> of corresponding indicators. Temperature and humidity are firstly binned by 2&#xb0;C and 2% intervals, and the fraction of extreme-producing (all cases during the study period across the domain) T-RH configurations that fall into corresponding bivariate bins are calculated and presented.</p>
</caption>
<graphic xlink:href="fenvs-10-1104039-g005.tif"/>
</fig>
</sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<sec id="s4-1">
<title>4.1 Discussion</title>
<p>We here addressed the issue of ubiquitous inhomogeneity of relative humidity in most observational and reanalysis datasets, with a specific focus on its influences on the estimate for changes in daily humid-heat extremes in China. We acknowledge that the intrinsic diurnal cycle of humid heat stress, resulting from quasi out-of-phase variations of air temperature and relative humidity (<xref ref-type="bibr" rid="B20">Fischer and Knutti, 2013</xref>), makes the daily-mean value conservative to represent daily maxima, the most concerning value to human health (<xref ref-type="bibr" rid="B44">Sch&#xe4;r, 2016</xref>; <xref ref-type="bibr" rid="B28">Kang and Eltahir, 2018</xref>; <xref ref-type="bibr" rid="B38">Raymond et al., 2020</xref>). The current unavailability of homogenized hourly to sub-daily (e.g., 6-h) RH observations, however, prohibits us from moving forward in this regard (<xref ref-type="bibr" rid="B55">Wang and Sun, 2021</xref>), Our analysis clearly demonstrates that using sub-daily records from ERA-5 or raw HadISD observations to achieve the goal is problematic. As a result, efforts are badly needed to collect, quality-control and homogenize hourly temperature and relative humidity, to revisit and better inform changing risks of impact-relevant heat stress in the populous region, as well as in other vulnerable regions around the world.</p>
<p>The data inhomogeneity-caused bias in the estimate for past changes in humid-heat extremes would propagate into their future projections, as all of model validation, bias correction (<xref ref-type="bibr" rid="B8">Casanueva et al., 2019</xref>), selection (<xref ref-type="bibr" rid="B40">Ridder et al., 2022</xref>) and weighting scheme (<xref ref-type="bibr" rid="B39">Ribes et al., 2021</xref>) as well as the design of emergent constraints (<xref ref-type="bibr" rid="B21">Freychet et al., 2021</xref>) are contingent on thorough comparisons of historical simulations to observations. By leveraging homogenized RH records as an observational constraint, follow-up efforts are therefore worth extending into projection analyses, in terms of both magnitudes and width of the uncertainty range for projected frequency and intensity of humid-heat extremes.</p>
<p>To the other end of spectrum of T-RH configuration, low relative humidity combined with high temperatures aggravates risks for wildfire occurrence and agricultural impacts (<xref ref-type="bibr" rid="B10">Chiodi et al., 2021</xref>; <xref ref-type="bibr" rid="B3">Balch et al., 2022</xref>). The unrealistically strong drying trend for RH is expected to result in an overestimation of increasing fire risks, which also remains under-appreciated in the region because of little attention paid to hot-dry-fire compound events there for now.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>We present the most comprehensive comparison to date on long-term changes in relative humidity across China, based on &#x223c;10 widely-used observational and reanalysis datasets subject to different levels of homogenization. We report an artificially sharp decline in RH around 2000&#x2013;2005 in most datasets due mainly to the massive transition from manual observation practices to automatic observations with observational instruments replaced at the time. The inhomogeneity issue stands out particularly stark in warm-moist southern China, leading to unrealistically strong and significant drying trends there.</p>
<p>The biased drying trends in these inhomogeneous datasets lead to underestimation of changes in humid-heat extremes, with a drying bias of 1% decade<sup>&#x2212;1</sup> attenuating the magnitude for increases in extremes&#x2019; frequency (intensity) by more than 1.2&#xa0;days decade<sup>&#x2212;1</sup> (.07% decade<sup>&#x2212;1</sup>) locally, regardless of metrics considered. For the region as a whole, these inhomogeneous records have underestimated domain-averaged frequency (intensity) of extremes by .47&#x2013;1.95&#xa0;days decade<sup>&#x2212;1</sup> (&#x2212;.04%&#x223c;.41% decade<sup>&#x2212;1</sup>). Humid-heat extremes identified by homogenized and non-homogenized datasets also differ in the T-RH joint anomalies, with most cases in the latter equivalently hot or slightly cooler yet discernably moister.</p>
<p>Our results call for emphasis on data quality of observed/reanalyzed relative humidity, not only in China but also in other parts of the world, and the need of re-evaluating past changes of humid-heat extremes to improve projections of deadly heat stress worldwide.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>YC designed the research; XL carried out most calculations and result interpretations, created all figures and wrote the original draft, further reviewed and edited by YC and YZ developed and provided the homogenized observation dataset, and took part in result discussion. NA and ZL participated in result discussion.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>The research is financially supported by the National Key Research and Development Program of China (Grant No. 2018YFC1507700). The study is also supported by S&#x0026;T Development Fund of CAMS (2021KJ014).</p>
</sec>
<ack>
<p>We thank the data developer, i.e., National Meteorological Information Center, for collecting, quality controlling, homogenizing and kindly providing the observational data.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2022.1104039/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2022.1104039/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Presentation1.zip" id="SM1" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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