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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1083006</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1083006</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The NCEP and ERA-Interim reanalysis temperature and humidity errors and their relationships with atmospheric boundary layer in the Tibetan Plateau</article-title>
<alt-title alt-title-type="left-running-head">Che and Zhao</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.1083006">10.3389/feart.2022.1083006</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Che</surname>
<given-names>Junhui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1972661/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhao</surname>
<given-names>Ping</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2070219/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters</institution>, <institution>Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</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="aff3">
<sup>3</sup>
<institution>Shandong Meteorological Service Center</institution>, <addr-line>Jinan</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/918425/overview">Bin Yu</ext-link>, Environment and Climate Change Canada (ECCC), Canada</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/1070165/overview">Yuanjian Yang</ext-link>, Nanjing University of Information Science and Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/123142/overview">Ke Wei</ext-link>, Institute of Atmospheric Physics (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ping Zhao, <email>zhaop@cma.gov.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmospheric Science, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1083006</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Che and Zhao.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Che and Zhao</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The lack of sounding observations in the western Tibetan Plateau (TP), the highest terrain in the world, has resulted in few efforts to evaluate the quality of the atmospheric reanalysis results in this region. Using the sounding observations from the Third Tibetan Plateau Atmospheric Scientific Experiment during 2013&#x2013;2015, the NCEP and ERA-Interim reanalysis temperature and humidity fields in the TP are evaluated and the characteristics of the reanalysis Atmospheric Boundary Layer (ABL) height are utilized to explain the reasons for the differences in temperature and humidity between the western and eastern TP. The results show that the NCEP and ERA-Interim reanalysis temperature and humidity products generally have larger errors at low level (such as 500&#xa0;hPa) in the western TP (WTP) than in the eastern one (ETP) at 12:00 UTC. However, this difference is small at 00:00 UTC. Further analysis reveals that the temporal and spatial variations of temperature and humidity errors at low level are closely associated with the differences in the terrain and ABL between the western and eastern TP. In the early morning when the ABL height is low over the TP, the 500&#xa0;hPa pressure level in both the WTP and ETP is significantly above the top of ABL, with weak spatial variations of temperature and humidity errors. However, in the late afternoon when there is a larger increase in ABL height over the WTP than over the ETP, the 500&#xa0;hPa pressure level is located inside the ABL in the WTP and is still above the ABL in the ETP, which causes significant regional differences in these errors.</p>
</abstract>
<kwd-group>
<kwd>Tibetan Plateau</kwd>
<kwd>reanalysis evaluation</kwd>
<kwd>radiosonde data</kwd>
<kwd>boundary layer height</kwd>
<kwd>diurnal variation</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>
<contract-sponsor id="cn002">Natural Science Foundation of Shandong Province<named-content content-type="fundref-id">10.13039/501100007129</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The atmospheric boundary layer (ABL), as the interface for the exchanges of momentum, heat, water vapor, and matter between the surface and the free atmosphere, plays important roles in weather, climate, and practical applications such as the dispersion and transport of air pollution (<xref ref-type="bibr" rid="B23">Stull 1988</xref>; <xref ref-type="bibr" rid="B12">Garratt 1994</xref>; <xref ref-type="bibr" rid="B28">Wang and Wang, 2004</xref>; <xref ref-type="bibr" rid="B1">Bao et al., 2013</xref>; <xref ref-type="bibr" rid="B20">Miao et al., 2015</xref>). The Tibetan Plateau (TP), with an average elevation exceeding 4,500&#xa0;m and an extensive area of 2.5 million square kilometers, also significantly influences the East Asian and global weather and climate through its thermodynamic effects (<xref ref-type="bibr" rid="B35">Ye et al., 1958</xref>; <xref ref-type="bibr" rid="B32">Yanai and Li 1994</xref>; <xref ref-type="bibr" rid="B30">Wu et al., 2007</xref>; <xref ref-type="bibr" rid="B43">Zhou et al., 2009</xref>; <xref ref-type="bibr" rid="B10">Duan et al., 2012</xref>; <xref ref-type="bibr" rid="B39">Zhao et al., 2018</xref>,<xref ref-type="bibr" rid="B40">2019b</xref>). Because of the unique atmospheric conditions in the high-elevation region, the local ABL processes over the TP are far more complicated than those in the lower-elevation areas at the same latitude (<xref ref-type="bibr" rid="B24">Tao and Ding 1981</xref>; <xref ref-type="bibr" rid="B31">Xu et al., 2002</xref>; <xref ref-type="bibr" rid="B33">Yang et al., 2004</xref>).</p>
<p>Due to harsh climatic and environmental conditions in the TP, the availability of observational data is greatly limited since there are few sounding stations in the western TP (<xref ref-type="fig" rid="F1">Figure 1</xref>). Thus several reanalysis products have been widely used in this region, including the National Centers for Environmental Prediction (NCEP)-National Center for Atmospheric Research (NCAR) Reanalysis and the European Centre for Medium-Range Weather Forecasts (ECWMF) 40-year Reanalysis (ERA-40) and interim Reanalysis (ERA-Interim). However, these reanalysis datasets potentially contain uncertainties from various sources that are inherent in the assimilation processes and in the model physic processes. Thus numerous studies have assessed the accuracy of the reanalysis datasets at specific stations and regions worldwide, which is helpful to identify errors in the reanalysis products and to improve the model parameterization schemes (<xref ref-type="bibr" rid="B19">Ma et al., 2008</xref>; <xref ref-type="bibr" rid="B3">Betts et al., 2009</xref>; <xref ref-type="bibr" rid="B6">Brunke et al., 2011</xref>; <xref ref-type="bibr" rid="B9">Decker et al., 2012</xref>; <xref ref-type="bibr" rid="B41">Zhao et al., 2015</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Distributions of sounding stations in the TP. The black (red) color indicates that the station data were (were not) assimilated in the NCEP and ERA-Interim reanalysis datasets, and the squares (circles) represent the experimental (operational) observations. The letters indicate the abbreviations of station names. The green line represents the terrain height of 3,000&#xa0;m above the sea level and the blue line denotes a separation of the western and eastern TP along 92.5&#xb0;E.</p>
</caption>
<graphic xlink:href="feart-10-1083006-g001.tif"/>
</fig>
<p>Previous studies have revealed the adequacy of land&#x2013;atmosphere interaction processes in numerical models that may cause large errors in the reanalysis data, specifically in the lower troposphere. <xref ref-type="bibr" rid="B4">Betts et al. (1998)</xref> pointed out that the misrepresentation of the coupling between the land surface and the ABL at night in the ECMWF model resulted in a low bias in the minimum temperature at the ground level. <xref ref-type="bibr" rid="B18">Liu et al. (2012)</xref> found that in the NCEP-NCAR reanalysis an inappropriate correction for the observational data after 1992 led to a systematic underestimation of the tropospheric temperature and geopotential height in eastern China. Moreover, the existing numerical models have serious issues in representing the TP land&#x2013;atmosphere coupling processes, particularly for the ABL and cloud-precipitation processes (<xref ref-type="bibr" rid="B29">Wu and Zhou 2011</xref>; <xref ref-type="bibr" rid="B15">Hu et al., 2014</xref>; <xref ref-type="bibr" rid="B44">Zhuo et al., 2016</xref>; <xref ref-type="bibr" rid="B38">Zhao et al., 2019a</xref>). These might cause the poor performance of numerical weather and climate prediction models in the TP and the surrounding areas. For example, <xref ref-type="bibr" rid="B11">Frauenfeld et al. (2005)</xref> found that the ERA-40 reanalysis underestimates the annual mean air temperature by about 7 &#xb0;C in the TP. <xref ref-type="bibr" rid="B26">Wang and Zeng (2012)</xref> pointed out that the reanalysis datasets mostly underestimates the daily average temperature in the TP, with a deviation ranging from &#x2013;14&#xb0;C to 6&#xb0;C. Using the dataset from the Second Tibetan Plateau Atmospheric Scientific Experiment, <xref ref-type="bibr" rid="B2">Bao and Zhang (2013)</xref> revealed significant diurnal and spatial variations of low-level atmospheric temperature and humidity errors of four reanalysis datasets (the NCEP-NCAR, the NCEP Climate Forecast System Reanalysis, ERA-40, and ERA-Interim). However, they did not give the explanations for these discrepancies.</p>
<p>The lack of the observational data in the TP region has resulted in few efforts to evaluate the quality of the reanalysis datasets. To obtain a long observational data in the western TP, the Third Tibetan Plateau Atmospheric Scientific Experiment (TIPEX-III) has made routine sounding launches at Shiquanhe (<italic>SQH</italic>), Gaize (<italic>GZ</italic>), and Shenzha (<italic>SZ</italic>) stations of the western TP (<xref ref-type="fig" rid="F1">Figure 1</xref>) since 2013, which fills the data gaps in the operational sounding network over the western TP (<xref ref-type="bibr" rid="B39">Zhao et al., 2018</xref>; <xref ref-type="bibr" rid="B17">Li et al., 2020</xref>). Using the TIPEX-III sounding observational data, <xref ref-type="bibr" rid="B7">Che and Zhao (2021)</xref> recently exhibited the west-east differences in the TP ABL height during summer, indicating a deeper ABL in the western TP (up to 4,000&#xa0;m above ground level) compared to the eastern TP. However, it remains a question as how this west-east difference of the ABL height affects the quality of reanalysis data in the TP. For example, are the diurnal and spatial variations of the low-level reanalysis atmospheric temperature and humidity errors revealed by <xref ref-type="bibr" rid="B2">Bao and Zhang (2013)</xref> related to the TP ABL process? To answer this question, this work aims to examine the temporal and spatial characteristics of errors in both the NCEP-NCAR (the earliest generation) and ERA-Interim (the newer generation) reanalysis datasets in the TP and the relationships between these errors and the ABL process.</p>
<p>The remainder of this paper is organized as follows. Data and methodology are described in <xref ref-type="sec" rid="s2">Section 2</xref>. Spatial and diurnal variations of the reanalysis temperature and humidity errors over the TP are examined in <xref ref-type="sec" rid="s3">Section 3</xref>. The characteristics of the ABL height and its link to errors in the reanalysis dataset are analyzed in <xref ref-type="sec" rid="s4">Section 4</xref>. Conclusion and discussion are given in <xref ref-type="sec" rid="s5">Section 5</xref>.</p>
</sec>
<sec id="s2">
<title>2 Data and methodology</title>
<p>This study utilizes radiosonde observational data from 19 stations over the TP region (<xref ref-type="fig" rid="F1">Figure 1</xref>). Among them, 16 meteorological operational radiosonde stations using L-band sounding system with the GTS1 digital electronic radiosonde are mostly located in the eastern TP (hereafter the operational stations; black and red dots). The TIPEX-III carried out intensive radiosonde launches at <italic>SQH</italic>, <italic>GZ</italic>, and <italic>SZ</italic> of the western TP (hereafter the experimental stations; red squares) using the Vaisala GPS RS92 or XGP-3 sondes twice daily at 0000 UTC and 1200 UTC for the periods 15 June - 31 July 2013, 15 June - 31 August 2014, and 1 January - 31 December 2015 (<xref ref-type="bibr" rid="B40">Zhao et al., 2018</xref>). After the data quality control, there were more than 400 sounding samples in each operational station and 240&#x2013;380 sounding samples from each experimental station (<xref ref-type="fig" rid="F1">Figure 1</xref>). These intensive observations have been used to analyze the ABL characteristics in the TP with their data quality being discussed (<xref ref-type="bibr" rid="B7">Che and Zhao, 2021</xref>).</p>
<p>The NCEP-NCAR (referred as NCEP) and ERA-Interim reanalysis datasets have been most extensively applied respectively since the 1990s and this century. The NCEP reanalysis has a horizontal resolution of T62 (&#x223c;209&#xa0;km) Gauss grid with 28 sigma levels in the vertical and is available every 6&#xa0;hours, utilizing the three-dimensional variational assimilation technique (<xref ref-type="bibr" rid="B16">Kalnay et al., 1996</xref>). The ERA-Interim reanalysis with a horizontal resolution of T255 (&#x223c;80&#xa0;km) Gauss grid and 60 hybrid vertical levels is the precursor of the next-generation extended reanalysis system using an updated version of the ECMWF forecast model and the most advanced four-dimensional variational data assimilation technique (<xref ref-type="bibr" rid="B8">Dee et al., 2011</xref>). Here, we use the reanalysis and observational data at standard pressure levels over the TP. To compare the gridded reanalysis with the sounding station data, the reanalysis products were interpolated to the location of each station using a bilinear interpolation method (<xref ref-type="bibr" rid="B21">Mooney et al., 2010</xref>; <xref ref-type="bibr" rid="B2">Bao and Zhang, 2013</xref>). Since the soundings at Naqu (<italic>NQ</italic>), Lasha (<italic>LS</italic>), Yushu (<italic>YS</italic>), Ganzi (<italic>GanZ</italic>), Changdu (<italic>CD</italic>), Hezuo (<italic>HZ</italic>), Geermu (<italic>GRM</italic>), Dulan (<italic>DL</italic>), and Xining (<italic>XN</italic>) stations (black dots) are internationally exchanged by the global telecommunication system (GTS), these data may have been assimilated in both the NCEP and ERA-Interim reanalysis datasets. The observations at other stations (red dots and squares) were not assimilated in the reanalysis datasets and thus provide an independent evaluation of the reanalysis results.</p>
<p>Following previous studies (e.g., <xref ref-type="bibr" rid="B25">Vogelezang and Holtslag, 1996</xref>; <xref ref-type="bibr" rid="B22">Seidel et al., 2012</xref>; <xref ref-type="bibr" rid="B14">Guo et al., 2016</xref>), the ABL height is calculated based on the bulk Richardson number which is defined as the ratio between the buoyancy and shear production/consumption for turbulent kinetic energy as follows.<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mi mathvariant="normal">z</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
<mml:mo>
</mml:mo>
</mml:math>
</disp-formula>where <italic>z</italic> is the height from the surface, the subscript &#x201c;<italic>s&#x201d;</italic> represents the surface value, <italic>g</italic> is the gravitational acceleration, <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>&#x3d1;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the virtual potential temperature, and <italic>u</italic> and <italic>v</italic> are the east-west and north-south components of wind, respectively. The gustiness correction term (<inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mo>&#x2a;</mml:mo>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) is ignored here because it has the much smaller magnitude compared to the wind shear term, in which <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the surface frictional velocity and <italic>b</italic> is a constant (<xref ref-type="bibr" rid="B25">Vogelezang and Holtslag, 1996</xref>). The algorithm defines the lowest height at which <italic>R</italic>
<sub>
<italic>ib</italic>
</sub>&#x2264; 0.25 as the stable or convective ABL height (<xref ref-type="bibr" rid="B25">Vogelezang and Holtslag, 1996</xref>; <xref ref-type="bibr" rid="B14">Guo et al., 2016</xref>).</p>
</sec>
<sec id="s3">
<title>3 Evaluation of the reanalysis atmospheric temperature and humidity in the TP</title>
<p>In this section, the quality of the NCEP and ERA-Interim reanalysis products over the entire TP is evaluated using all sounding observations (<xref ref-type="fig" rid="F1">Figure 1</xref>). <xref ref-type="fig" rid="F2">Figures 2A&#x2013;D</xref> show the vertical profiles of the regional mean temperature (<italic>T</italic>) of the observation and NCEP and ERA-Interim reanalysis datasets over the entire TP and their standard deviation (SD), mean bias (MB), and root-mean-square error (RMSE). In the vertical direction, the reanalysis mean and SD exhibit consistent deviations with the observed ones, with all the differences within 1 &#xb0;C throughout the vertical column (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>), which suggests that both these two reanalysis datasets can capture the basic features of the observational temperature over the entire TP. Nevertheless, some differences between the observation and reanalysis are also noted. The MB values of both the ERA-Interim and NCEP temperatures are generally negative (between 0 and -1&#xb0;C) in the troposphere (<xref ref-type="fig" rid="F2">Figure 2C</xref>), which indicates an underestimation of the reanalysis temperatures in the troposphere. The RMSE value between the observation and the ERA-Interim reanalysis ranges from 0.8 &#xb0;C to 1.3 &#xb0;C at all levels (<xref ref-type="fig" rid="F2">Figure 2D</xref>), and it falls in the range of 1.0&#xb0;C&#x2013;1.6&#xb0;C for the NCEP reanalysis. The quality of the ERA-Interim reanalysis <italic>T</italic> is slightly better than that of the NCEP one in most layers. In addition, the NCEP and ERA-Interim RMSE values are larger at both 500&#xa0;hPa (bottom) and 100&#xa0;hPa (top) than in the middle troposphere between 400&#xa0;hPa and 150&#xa0;hPa.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The vertical profiles of the regional mean <bold>(A,E)</bold> and standard deviation <bold>(B,F)</bold> from radiosonde observation and NCEP and ERA-Interim reanalysis datasets and the regional mean bias <bold>(C,G)</bold> and root-mean-square error (RMSE) <bold>(D,H)</bold> between the reanalysis and observation datasets from nineteen stations. The <bold>(A&#x2013;D)</bold> and <bold>(E&#x2013;H)</bold> rows are for temperature (<italic>T</italic>) and specific humidity (<italic>q</italic>), respectively.</p>
</caption>
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</fig>
<p>
<xref ref-type="fig" rid="F2">Figures 2E&#x2013;H</xref> displays the corresponding results for specific humidity (<italic>q</italic>). Similar to temperature, the mean value and SD of the reanalysis <italic>q</italic> also exhibit the consistent vertical profiles with the observational ones (<xref ref-type="fig" rid="F2">Figures 2E,F</xref>). The NCEP has the positive MB of 0.5&#xa0;g kg<sup>&#x2212;1</sup> at 500&#xa0;hPa, but with negative biases between 0 and -0.2&#xa0;g kg<sup>&#x2212;1</sup> at the other levels (<xref ref-type="fig" rid="F2">Figure 2G</xref>). This result indicates that compared to the sounding data, the model atmosphere in the NCEP reanalysis is wetter in the lower layer and is drier elsewhere. Different from the NCEP results, the modeled atmosphere in the ERA-Interim reanalysis has more water vapor throughout the entire vertical volume compared to the observation, with the positive MB decreasing from the maximum value of 0.4&#xa0;g kg<sup>&#x2212;1</sup> at 500&#xa0;hPa to 0.2&#xa0;g kg<sup>&#x2212;1</sup> at 300&#x2013;400&#xa0;hPa. The RMSE of <italic>q</italic> for both the reanalysis data sharply decreases with an increase of height, and is larger than 0.5&#xa0;g kg<sup>&#x2212;1</sup> below 350&#xa0;hPa, with the maximum value of 1.3&#xa0;g kg<sup>&#x2212;1</sup> (1.0&#xa0;g kg<sup>&#x2212;1</sup>) for the NCEP (ERA-Interim) reanalysis at 500&#xa0;hPa (<xref ref-type="fig" rid="F2">Figure 2H</xref>).</p>
<p>To reveal the regional differences of the errors between the reanalysis products and the observation, the reanalysis <italic>T</italic> and <italic>q</italic> between the western TP (WTP) and the eastern TP (ETP) are compared, in which the separation of the western (eight stations) and eastern (11 stations) regions of TP is set at 92.5&#xb0;E. <xref ref-type="fig" rid="F3">Figure 3</xref> presents the RMSE profiles of the NCEP and ERA-Interim <italic>T</italic> and <italic>q</italic> averaged over the WTP and the ETP. It is seen that in the ETP, the RMSE of the NCEP <italic>T</italic> is near 1 &#xb0;C below 200&#xa0;hPa and 1.5&#xb0;C at 100&#xa0;hPa (<xref ref-type="fig" rid="F3">Figure 3A</xref>). In the WTP, it is remarkably larger below 300&#xa0;hPa, with a value of 1.8&#xa0;&#xb0;C at 500&#xa0;hPa. This result indicates a larger error of <italic>T</italic> in the lower layer in the WTP than in the ETP. The ERA-Interim <italic>T</italic> (<xref ref-type="fig" rid="F3">Figure 3B</xref>) shows the similar trend. At 500&#xa0;hPa, the ERA-interim RMSE is 1.5 &#xb0;C in the WTP and is 0.9&#xb0;C in the ETP. For <italic>q</italic> of both the ERA-Interim and NCEP reanalysis datasets (<xref ref-type="fig" rid="F3">Figure 3D</xref>), the RMSE is larger below 300&#xa0;hPa in the WTP (with the maximum of 1.6&#xa0;g kg<sup>&#x2212;1</sup> for the NCEP and 1.2&#xa0;g kg<sup>&#x2212;1</sup> for the ERA-Interim at 500&#xa0;hPa) than in the ETP (with the maximum of 0.9&#xa0;g kg<sup>&#x2212;1</sup> for the NCEP and 0.8&#xa0;g kg<sup>&#x2212;1</sup> for the ERA-Interim at 500&#xa0;hPa). The above results indicate that the reanalysis <italic>T</italic> and <italic>q</italic> in the lower layer have larger errors in the WTP than in the ETP.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The vertical profiles of RMSE of the NCEP <bold>(A,C)</bold> and ERA-Interim <bold>(B,D)</bold> reanalysis temperature and specific humidity over the western TP and eastern TP. The gray shaded area indicates a difference between the WTP and the ETP.</p>
</caption>
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</fig>
<p>The diurnal variations in error between the observation and the reanalysis datasets are further examined in the WTP and the ETP. 00:00 UTC and 12:00 UTC in the TP approximately correspond to 06:00 local standard time (LST) (the early morning) and 18:00 LST (the late afternoon), respectively. Generally speaking, the RMSE of the NCEP <italic>T</italic> in the lower layer has a remarkable difference between the early morning and the late afternoon in the WTP (<xref ref-type="fig" rid="F4">Figure 4A</xref>). The RMSE at 500&#xa0;hPa is 1.2&#xb0;C and 2.2&#xb0;C in the early morning and the late afternoon, respectively, with a difference of 1.0&#xb0;C between these two times. In the ETP (<xref ref-type="fig" rid="F4">Figure 4C</xref>), however, the RMSE below 200&#xa0;hPa is about 1&#xb0;C at both 00:00 UTC and 12:00 UTC and has a small difference between the early morning and the late afternoon. For the NCEP <italic>q</italic>, the 500-hPa RMSE is nearly 1.2&#xa0;g kg<sup>&#x2212;1</sup> at 00:00 UTC and 1.8&#xa0;g kg<sup>&#x2212;1</sup> at 12:00 UTC in the WTP (<xref ref-type="fig" rid="F4">Figure 4E</xref>), with a difference of 0.6&#xa0;g kg<sup>&#x2212;1</sup> in RMSE between the early morning and the late afternoon. In the ETP, this difference is near 0.1&#xa0;g kg<sup>&#x2212;1</sup> (<xref ref-type="fig" rid="F4">Figure 4G</xref>), remarkably smaller compared to that in the WTP. The similar differences are also seen in the ERA-Interim reanalysis datasets. The RMSE of the ERA-interim <italic>T</italic> at 500&#xa0;hPa has a difference of 0.8 &#xb0;C between the late afternoon and the early morning in the WTP (<xref ref-type="fig" rid="F4">Figure 4B</xref>) and has a small difference of 0.1&#xb0;C in the ETP (<xref ref-type="fig" rid="F4">Figure 4D</xref>). The RMSE of the 500-hPa ERA-Interim <italic>q</italic> in the WTP is 1.5&#xa0;g kg<sup>&#x2212;1</sup> and 0.8&#xa0;g kg<sup>-1</sup> at 12:00 UTC and 00:00 UTC, respectively (<xref ref-type="fig" rid="F4">Figure 4F</xref>), with a difference of 0.7&#xa0;g kg<sup>&#x2212;1</sup> between the early morning and the late afternoon. Relative to the WTP, the RMSE of the ERA-Interim <italic>q</italic> has a small difference of 0.1&#xa0;g kg<sup>&#x2212;1</sup> in the ETP (<xref ref-type="fig" rid="F4">Figure 4H</xref>). Clearly, the RMSE values of the NCEP and ERA-Interim reanalysis <italic>T</italic> and <italic>q</italic> exhibit the similar diurnal variations and they have a larger difference in the lower layer in the late afternoon than in the early morning in the WTP. But this difference is smaller in the ETP.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The RMSE profiles of the regional mean NCEP <bold>(A,C,E,G)</bold> and ERA-Interim <bold>(B,D,F,H)</bold> temperature (<italic>T</italic>) and specific humidity (q) over the ETP and the WTP at 00:00 UTC and 12:00 UTC. The gray shaded area indicates a difference between 12:00 UTC and 00:00 UTC.</p>
</caption>
<graphic xlink:href="feart-10-1083006-g004.tif"/>
</fig>
<p>It is worth mentioning that the sounding data at some stations in the TP shown in <xref ref-type="fig" rid="F1">Figure 1</xref> were not assimilated in the NCEP and ERA-Interim reanalysis datasets. This retains an independent dataset which can be used to evaluate the reanalysis data for excluding a potential effect of the data assimilation. To demonstrate the robustness of the results, we select the ten stations that are not in the GTS dataset and hence were not assimilated in the NCEP and ERA-Interim reanalysis datasets (red squares and dots shown in <xref ref-type="fig" rid="F1">Figure 1</xref>). For convenience, these stations are called the unassimilated stations. <xref ref-type="fig" rid="F5">Figure 5</xref> displays the diurnal variations of <italic>T</italic> and <italic>q</italic> RMSE values at these unassimilated stations. In this figure, the temporal and spatial variations of the reanalysis <italic>T</italic> and <italic>q</italic> RMSEs are similar to those in <xref ref-type="fig" rid="F4">Figure 4</xref>. In the WTP, the RMSEs of the NCEP 500-hPa <italic>T</italic> and <italic>q</italic> are 3.2&#xb0;C and 2.3&#xa0;g kg<sup>&#x2212;1</sup> at 12:00 UTC (<xref ref-type="fig" rid="F5">Figures 5A,E</xref>), respectively, and have differences of 1.6&#xb0;C and 0.8&#xa0;g kg<sup>&#x2212;1</sup> from those at 00:00 UTC. The RMSEs of the ERA-Interim 500-hPa <italic>T</italic> and <italic>q</italic> are 2.2&#xb0;C and 1.6&#xa0;g kg<sup>&#x2212;1</sup> at 12:00 UTC (<xref ref-type="fig" rid="F5">Figures 5B,F</xref>), respectively, with differences of 1.2&#xb0;C and 0.6&#xa0;g kg<sup>&#x2212;1</sup> from those at 00:00 UTC. Relative to the WTP, these differences are small in the ETP, with the RMSE differences of <italic>T</italic> and <italic>q</italic> around 0.1&#xb0;C and 0.1&#xa0;g kg<sup>&#x2212;1</sup> between the late afternoon and the early morning, respectively (<xref ref-type="fig" rid="F5">Figures 5C,D</xref> and <xref ref-type="fig" rid="F5">Figures 5g,h</xref>). The results at the unassimilated stations are similar to those from all stations (shown in <xref ref-type="fig" rid="F4">Figure 4</xref>), which demonstrates the robustness of the diurnal variations of the reanalysis <italic>T</italic> and <italic>q</italic> RMSEs in the WTP and ETP. In the following section, we give a plausible physical explanation for the diurnal variations in RMSEs in the lower troposphere.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Same as in <xref ref-type="fig" rid="F4">Figure 4</xref> but at the unassimilated stations.</p>
</caption>
<graphic xlink:href="feart-10-1083006-g005.tif"/>
</fig>
</sec>
<sec id="s4">
<title>4 The effects of the atmospheric boundary layer height</title>
<p>As mentioned above, the large errors in the NCEP and ERA-Interim reanalysis <italic>T</italic> and <italic>q</italic> are mostly identified at 500&#xa0;hPa. The TP has an average elevation higher than 4.0&#xa0;km. Some studies have shown that the TP ABL can be as high as 2&#x2013;3&#xa0;km and the ABL processes significantly modify the weather systems over the TP (<xref ref-type="bibr" rid="B34">Ye and Gao 1979</xref>; <xref ref-type="bibr" rid="B31">Xu et al., 2002</xref>). Thus, we examine the characteristics of the TP ABL and its potential influences on the errors of the reanalysis <italic>T</italic> and <italic>q</italic> in the lower layers.</p>
<p>We first analyze the characteristics of the actual and model input terrain elevations over the TP (<xref ref-type="fig" rid="F6">Figures 6A,B</xref>). The regional terrain elevation over the WTP/ETP is 4.4/3.2 km, 4.9/4.0 km, and 4.9/3.9&#xa0;km for the observation, NCEP, and ERA-Interim datasets, respectively. Both the NCEP and ERA-Interim terrain elevations are generally higher compared to the observation in the TP. <xref ref-type="fig" rid="F6">Figures 6C&#x2013;F</xref> show the observed and reanalysis ABL heights over the TP at 00:00 UTC and 12:00 UTC. In this figure, both the observed and modeled ABL heights are low at 00:00 UTC, generally below 400&#xa0;m (<xref ref-type="fig" rid="F6">Figures 6C,D</xref>), and are high at 12:00 UTC, generally exceeding 1,000&#xa0;m (<xref ref-type="fig" rid="F6">Figures 6E,F</xref>). This feature supports the previous result that the continental ABL exhibits a diurnal variation with a shallow stable ABL from night to the early morning and a deep convective ABL in the daytime (<xref ref-type="bibr" rid="B13">Garratt, 1992</xref>). In addition, it is seen from <xref ref-type="fig" rid="F6">Figures 6E,F</xref> that the spatial variation in the ABL height is more significant at 12:00 UTC than at 00:00 UTC, with a large difference between the WTP and ETP. The observed and modeled ABL heights are generally 1,500&#x2013;1,600&#xa0;m in the WTP and 600&#x2013;800&#xa0;m in the ETP, with a difference of 700 m&#x2013;1,000&#xa0;m between the WTP and the ETP, which is consistent with the previous results (<xref ref-type="bibr" rid="B42">Zhou et al., 2018</xref>; <xref ref-type="bibr" rid="B7">Che and Zhao, 2021</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Spatial distributions of <bold>(A,B)</bold> terrain height and atmospheric boundary layer (ABL) height at <bold>(C,D)</bold> 00:00UTC and <bold>(E,F)</bold> 12:00UTC, and <bold>(G,H)</bold> occurrence frequency of the ABL height above the 500-hPa level at 12:00UTC in the TP. The top and bottom rows are for the NCEP and ERA-Interim reanalysis datasets, respectively. The filled colors in the circles are for observation and the shaded areas are for the reanalysis data. The red line in (f) represents the latitude 32.5&#xb0;N.</p>
</caption>
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</fig>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> presents the vertical cross sections of the terrain and ABL heights along the latitude of &#x223c;32.5&#xb0;N (shown in <xref ref-type="fig" rid="F6">Figure 6F</xref>). There are seven sounding stations along this latitude including <italic>SQH</italic>, <italic>GZ</italic>, <italic>SZ</italic>, <italic>NQ</italic>, <italic>CD</italic>, <italic>GanZ</italic>, and Hongyuan (<italic>HY</italic>) (<xref ref-type="fig" rid="F1">Figure 1</xref> and <xref ref-type="fig" rid="F6">Figure 6F</xref>). It is obvious that the observation and reanalysis terrain and ABL heights generally decrease from west to east at 12:00 UTC. There are large differences in terrain height between the two models and the observation, especially in the NCEP with the largest difference at station <italic>CD</italic>. At 00:00 UTC, the NCEP and ERA-Interim reanalysis ABL depths are generally thin above their model surface, which is consistent with the observed. The 500-hPa pressure level in both the WTP and ETP is much above the top of ABL and thus is mainly affected by the free atmospheric processes. At 12:00 UTC, however, the observed ABL height displays a larger increase in the WTP than in the ETP, which leads to a significant contrast in ABL height between the WTP and the ETP. At this moment, the 500-hPa pressure level is located within the ABL or near the top of ABL in the WTP, and is much higher above the top of ABL in the ETP. The NCEP and ERA-Interim reanalysis are able to capture this west-east difference in ABL height.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The vertical cross sections of the observational and reanalysis ABL heights along the latitude around 32.5&#xb0;N (indicated by red line in <xref ref-type="fig" rid="F6">Figure 6F</xref>), in which <bold>(A)</bold> is for the observation and the NCEP reanalysis and <bold>(B)</bold> is for the observation and the ERA-Interim reanalysis.</p>
</caption>
<graphic xlink:href="feart-10-1083006-g007.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F6">Figures 6G,H</xref> show the occurrence frequency of the observed and reanalysis ABL heights above the 500-hPa pressure level at 12:00 UTC. For convenience, we refer to the ABL above 500-hPa pressure level as the penetrating ABL. It is found that for observation, the frequency of the penetrating ABL is generally between 20% and 80% in the WTP (<xref ref-type="fig" rid="F6">Figures 6G,H</xref>), with a regional mean of 43%. But in the ETP, the frequency of the penetrating ABL is rare. Compared to the observation, however, the occurrence frequency of the penetrating ABL in the NCEP reanalysis is greater than 50% in the WTP (<xref ref-type="fig" rid="F6">Figure 6G</xref>), with a regional mean value of 73%. The similar phenomenon is also seen in the ERA-Interim reanalysis, with a regional mean value of 64% for the occurrence frequency of the penetrating ABL in the WTP (<xref ref-type="fig" rid="F6">Figure 6H</xref>). It is evident that the occurrence frequency of the reanalysis penetrating ABL is larger by 20%&#x2013;30% than the observation. In the ETP, the occurrence frequency of the NCEP and ERA-Interim reanalysis high ABL is low, with the regional mean values of 12% and 6%, compared to the observation (3%). In addition, the occurrence frequency of the penetrating ABL over the TP at 00:00 UTC is also calculated, which indicates the 500-hPa level is generally above the ABL over the TP because of a low ABL height at this moment (<xref ref-type="fig" rid="F6">Figures 6C,D</xref>). These results imply a larger effect of the ABL physical processes in the models used in the NCEP and ERA-Interim reanalysis products on the 500-hPa meteorological conditions in the WTP than in the ETP and at 12:00 UTC than at 00:00 UTC.</p>
<p>Surface fluxes and turbulent transports directly affect the thermodynamics and winds in the ABL (<xref ref-type="bibr" rid="B12">Garratt 1994</xref>; <xref ref-type="bibr" rid="B27">Wang et al., 1999</xref>) that may lead to significantly differences in ABL temperature and water vapor compared to the free atmosphere. Overland, the boundary layer properties are characterized by substantial diurnal variations. Previous studies also identified larger errors in modeling temperature and humidity within the ABL than those in the free atmosphere (<xref ref-type="bibr" rid="B4">Betts et al., 1998</xref>; <xref ref-type="bibr" rid="B8">Dee et al., 2011</xref>) due to various issues of surface flux and/or turbulent mixing parameterizations in the forecast models. As such, there are large errors in the modeled temperature and humidity at the altitude ranges where there are mismatches of the ABL heights between the observations and the models. <xref ref-type="fig" rid="F8">Figure 8</xref> presents the distributions of the RMSE of the 500-hPa temperature and humidity and the occurrence frequency of the ABL top exceeding the 500-hPa pressure level. As illustrated in this figure, the RMSEs of both the reanalysis <italic>T</italic> and <italic>q</italic> gradually increase from east to west. The enhanced RMSEs of both <italic>T</italic> and <italic>q</italic> are consistent with the consequence of the modeled ABL height frequently penetrating through the 500-hPa pressure level. Specifically, at 12:00 UTC, the RMSEs of the reanalysis <italic>T</italic> and <italic>q</italic> are larger in the WTP, with regional averages of 2.2&#xb0;C (NCEP) and 1.9&#xb0;C (ERA-Interim) for <italic>T</italic> and 1.8&#xa0;g kg<sup>&#x2212;1</sup> (NCEP) and 1.5&#xa0;g kg<sup>&#x2212;1</sup> (ERA-Interim) for <italic>q</italic>. At 00:00 UTC when the 500&#xa0;hPa level is persistently above the boundary layer, however, these errors in the WTP are generally smaller (1.0&#xb0;C and 1.0&#xa0;g kg<sup>&#x2212;1</sup>), which is similar to those in the ETP where the diurnal variations of the errors are very weak for the low occurrence frequency of the ABL top exceeding the 500-hPa level.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Distributions of RMSE of 500-hPa temperature (&#xb0;C) at 0000 UTC <bold>(A,B)</bold> and 1200 UTC <bold>(C,D)</bold>. The red dot indicates the observation stations with the occurrence frequency of the ABL height above the 500-hPa level at 12:00UTC exceeding 30%. Maps on top and bottom correspond to the NCEP and ERA-Interim reanalysis datasets, respectively. <bold>(E&#x2013;H)</bold> are same as <bold>(A&#x2013;D)</bold> except for specific humidity (g kg<sup>&#x2212;1</sup>).</p>
</caption>
<graphic xlink:href="feart-10-1083006-g008.tif"/>
</fig>
<p>To verify the connection between the model temperature/humidity and ABL height errors, <xref ref-type="fig" rid="F9">Figure 9</xref> separates the observed high and low ABL cases. In the WTP, the 500-hPa pressure level is located inside the ABL when the observed ABL height is &#x3e;1,500&#xa0;m. In this case, the absolute value of 500-hPa temperature bias is positively correlated with that of the ABL height bias, with the correlation coefficients of 0.46 (significant at the 99.9% level) and 0.21 (significant at the 95% level) for the NCEP (<xref ref-type="fig" rid="F9">Figure 9A</xref>, in blue) and ERA-Interim (<xref ref-type="fig" rid="F9">Figure 9B</xref>, in blue) reanalysis datasets, respectively. Similarly, the 500-hPa specific humidity bias (<xref ref-type="fig" rid="F9">Figures 9E,F</xref>, in blue) also has significantly positive correlations with the ABL height bias, with the correlation coefficients of 0.26 (significant at the 98% level) and 0.30 (significant at the 99% level), respectively. However, when the observed ABL height is less than 1,500&#xa0;m, the 500-hPa pressure level is usually above the ABL. There are very weak correlations between the 500-hPa temperature (<xref ref-type="fig" rid="F9">Figures 9A,B</xref>, in red) or specific humidity bias (<xref ref-type="fig" rid="F9">Figures 9E,F</xref>, in red) and the ABL height one, with the correlation coefficients of 0.06&#x2013;0.11. The above results further demonstrate that when the 500-hPa pressure level is within the ABL, the reanalysis ABL height bias contributes to the biases of 500-hPa temperature and specific humidity. In the ETP, this phenomenon is not observed. For both the high and low ABL cases, the 500-hPa temperature (<xref ref-type="fig" rid="F9">Figures 9C,D</xref>) and specific humidity (<xref ref-type="fig" rid="F9">Figures 9G,H</xref>) biases have no significant correlations with the ABL height bias, with the very low correlation coefficients of 0.01&#x2013;0.09 in the NCEP and ERA-Interim reanalysis datasets, which implies a weak effect of the ABL processes in the reanalysis models on the 500-hPa temperature and specific humidity in the ETP.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Top row: the correlations between the absolute values of the 500-hPa temperature bias and the ABL height bias at 12:00 UTC in the high (blue) and low (red) ABL cases in the WTP <bold>(A,B)</bold> and ETP <bold>(C,D)</bold>. The <bold>(E&#x2013;H)</bold> row is same as the top row, except for the absolute values of the 500-hPa humidity bias and the ABL height bias. The correlation coefficient (R) and the sample number (N) are given in each panel.</p>
</caption>
<graphic xlink:href="feart-10-1083006-g009.tif"/>
</fig>
</sec>
<sec id="s5">
<title>5 Conclusion and discussion</title>
<p>Using the TIPEX-III intensive and operational sounding observations in the TP during the 2013&#x2013;2015 summers, temperature and humidity from the NCEP and ERA-Interim reanalysis data are evaluated. The results reveal that the vertical profiles of the summer reanalysis temperature and specific humidity and their standard deviations are generally consistent with the observed ones. However, the NCEP and ERA-Interim reanalysis temperatures are underestimated by 0 to -1&#xb0;C compared to the observation. The NCEP specific humidity is higher at the low levels but is lower in the upper levels relative to the observation, while the ERA-Interim specific humidity is lager through the whole column. The errors of the reanalysis temperature and humidity at the low level, particularly at 500&#xa0;hPa, display a large difference between the WTP and the ETP. These errors in the WTP are greater in the late afternoon than in the early morning, which does not appear in the ETP.</p>
<p>The temporal and spatial differences of temperature and humidity errors at 500&#xa0;hPa are closely associated with the ABL processes used in the reanalysis models. In the early morning, the 500-hPa pressure level is above the top of the ABL in both the WTP and ETP, indicating that a large effect of physical processes in the free atmosphere rather than within the ABL. At this moment, the 500-hPa temperature and humidity biases have no significant correlations with the ABL height bias. In the late afternoon, however, with a greater growth of the observed ABL height over the WTP than over the ETP, the 500-hPa pressure level is located inside the ABL or near the top of ABL in the WTP, and is still above the ABL in the ETP. In this case, the ABL processes may remarkably affect the 500-hPa temperature and humidity in the WTP, with significantly positive correlation between the ABL bias and the 500-hPa temperature and humidity biases. In the ETP, however, the 500-hPa pressure level is still mainly affected by the physical processes in the free atmosphere, and the 500-hPa temperature and humidity biases have no significant correlations with the ABL bias.</p>
<p>The development of ABL is closely associated with surface sensible heat flux (<xref ref-type="bibr" rid="B23">Stull, 1988</xref>; <xref ref-type="bibr" rid="B5">Brooks and Rogers, 2000</xref>; <xref ref-type="bibr" rid="B37">Zhang et al., 2017</xref>; <xref ref-type="bibr" rid="B7">Che and Zhao, 2021</xref>). The ERA-Interim and NCEP reanalysis surface sensible heat fluxes have much larger errors in the WTP than in the ETP (<xref ref-type="bibr" rid="B38">Zhao et al., 2019a</xref>), which may lead to a larger bias in the ABL processes in the WTP. Thus reducing surface heat flux errors in the WTP is helpful to improve the ABL processes. Some studies have indicated that applying the maximum entropy model in calculating surface heat flux may remarkably reduce surface heat flux errors (<xref ref-type="bibr" rid="B17">Li et al., 2020</xref>). Moreover, the coupling error among land evaporation, boundary layer, and convective processes in the reanalysis model would have a significant impact on water vapor and temperature evolutions in the ABL (<xref ref-type="bibr" rid="B4">Betts et al., 1998</xref>) and the local atmospheric circulations such as the mountain-valley breezes induced by the combined effects of the complicated TP topography (<xref ref-type="bibr" rid="B36">Yu et al., 2020</xref>). These should also be addressed in future work.</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>JC: Conceptualization, Methodology, Software, Validation, Formal analysis, Investigation, Data curation, Writing-original draft. PZ: Conceptualization, Methodology, Formal analysis, Writing-review and editing, Supervision.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This research was funded by the Strategic Priority Research Program of Chinese Academy of Sciences (XDA20100300), the Second Scientific Expedition to Qinghai-Tibet Plateau (2019QZKK020803), and the Natural Science Foundation of Shandong Province of China (ZR2021MD032).</p>
</sec>
<ack>
<p>We thank the European Center for Medium-Range Weather Forecast and the NCEP for providing their reanalysis data available on their homepages.</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>
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