<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-16-373-2023</article-id><title-group><article-title>Electrochemical sensors on board a Zeppelin NT: in-flight evaluation of low-cost trace gas measurements</article-title><alt-title>In-flight evaluation of low-cost trace gas measurements on board a Zeppelin NT</alt-title>
      </title-group><?xmltex \runningtitle{In-flight evaluation of low-cost trace gas measurements on board a Zeppelin NT}?><?xmltex \runningauthor{T. Schuldt et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Schuldt</surname><given-names>Tobias</given-names></name>
          <email>t.schuldt@fz-juelich.de</email>
        <ext-link>https://orcid.org/0000-0002-5446-9168</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Gkatzelis</surname><given-names>Georgios I.</given-names></name>
          <email>g.gkatzelis@fz-juelich.de</email>
        <ext-link>https://orcid.org/0000-0002-4608-3695</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wesolek</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4475-2816</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rohrer</surname><given-names>Franz</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Winter</surname><given-names>Benjamin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kuhlbusch</surname><given-names>Thomas A. J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kiendler-Scharr</surname><given-names>Astrid</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3166-2253</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tillmann</surname><given-names>Ralf</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0648-6622</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Energy and Climate Research, IEK-8: Troposphere,
Forschungszentrum Jülich GmbH, Jülich, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Hazardous Substances Management, Federal Institute for Occupational Safety and Health (BAuA), Dortmund, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Tobias Schuldt (t.schuldt@fz-juelich.de) and Georgios I.
Gkatzelis (g.gkatzelis@fz-juelich.de)</corresp></author-notes><pub-date><day>24</day><month>January</month><year>2023</year></pub-date>
      
      <volume>16</volume>
      <issue>2</issue>
      <fpage>373</fpage><lpage>386</lpage>
      <history>
        <date date-type="received"><day>27</day><month>June</month><year>2022</year></date>
           <date date-type="rev-request"><day>8</day><month>July</month><year>2022</year></date>
           <date date-type="rev-recd"><day>9</day><month>December</month><year>2022</year></date>
           <date date-type="accepted"><day>3</day><month>January</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Tobias Schuldt et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023.html">This article is available from https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e153">In this work, we used a Zeppelin NT equipped with six sensor setups, each composed of four different low-cost electrochemical sensors (ECSs) to measure nitrogen oxides (NO and NO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), carbon monoxide, and O<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) in Germany. Additionally, a MIRO MGA laser absorption spectrometer was installed as a reference device for in-flight evaluation of the ECSs. We report not only the influence of temperature on the NO and NO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensor outputs but also find a shorter timescale (1 s) dependence of the sensors on the relative humidity gradient. To account for these dependencies, we developed a correction method that is independent of the reference instrument. After applying this correction to all individual sensors, we compare the sensor setups with each other and to the reference device. For the intercomparison of all six setups, we find good agreements with <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> but different precisions for each sensor in the range from 1.45 to 6.32 ppb (parts per billion). The comparison to the reference device results in an <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.88 and a slope of 0.92 for NO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). Furthermore, the average noise (1<inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of the NO and NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensors reduces significantly from 6.25 and 7.1 to 1.95 and 3.32 ppb, respectively. Finally, we highlight the potential use of ECSs in airborne applications by identifying different pollution sources related to industrial and traffic emissions during multiple commercial and targeted Zeppelin flights in spring 2020. These results are a first milestone towards the quality-assured use of low-cost sensors in airborne settings without a reference device, e.g., on unmanned aerial vehicles (UAVs).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e283">The effects of poor air quality are manifold – they are environmental (e.g., McLaughlin, 1985; Bytnerowicz et al., 2007), economic
(e.g., Quah and Boon, 2003), and health related (e.g., Kampa and Castanas, 2008; Von Schneidemesser et al., 2020). Ambient air quality is dependent on the level of pollutant concentrations in the lower troposphere that includes both airborne particles and gaseous substances. Increasing concentrations of target pollutants, i.e., particulate matter, PM, nitrogen dioxide (NO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), and ozone (O<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), increase the risk of cardiovascular, respiratory, and cerebrovascular mortality for short-term (Orellano et al., 2020) and long-term exposure (Huangfu and Atkinson, 2020; Chen and Hoek, 2020). Furthermore, these pollutants can influence climate change with either cooling or warming effects (IPCC, 2021). Historically, in order to limit such impacts, the World Health Organization (WHO, 2021) and the Intergovernmental Panel for Climate Change (IPCC, 2021) set global guidelines for countries to achieve. Quantification of pollutants is, therefore, an essential procedure for assessing air quality and climate change and the first step through which subsequent action can be taken.</p>
      <p id="d1e304">In Europe, this has been largely achieved via ground-based monitoring
networks, such as the European Environment Agency's European Monitoring and
Evaluation Programme (EMEP; <uri>https://ebas.nilu.no/</uri>, last access: 14 January 2023) or even infrastructures such as the Aerosols, Clouds, and Trace Gases Research
Infrastructure network (ACTRIS; <uri>https://www.actris.eu/</uri>, last access: 14 January 2023) that provide high-quality data for criteria pollutant concentrations around the world. The EU Ambient Air Quality Directive 2008/50/EC, with its amendment 2015/1480/EC, was introduced to create uniform requirements for air quality measurements. In Germany, the measuring stations are operated by the states' environmental agencies and the Federal Environment Agency, in accordance with the Ambient Air Quality Directive's specifications. However, such ground-based measurements are typically stationary and thus cover local air quality trends with limited insights to the vertical distribution of pollutants or small-scale spatial gradients (Apte et al., 2017; Messier et al., 2018). Furthermore, the maintenance and operation of such networks at the spatial resolution needed to inform decision-makers may exceed available budgets.</p>
      <p id="d1e313">In the last few years, development of low-cost sensors e.g., electrochemical sensors (ECSs), whose costs are 2 to 3 orders of magnitude lower than those of typical laboratory-grade devices, have been used as an alternative and affordable option to perform measurements that cover multiple locations (Popoola et al., 2018; Rai et al., 2017; Shusterman et al., 2016; Sun et al., 2016; Mead et al., 2013). Such sensors have been extensively used and evaluated alongside measuring stations (Popoola et al., 2018; Sahu et al., 2021; Mead et al., 2013; Dallo et al., 2021; Spinelle et al., 2017, 2015) and have recently been extended for airborne applications (Villa et al., 2016; Schuyler and Guzman, 2017; Gu et al., 2018; Mawrence et al., 2020; Pochwala et al., 2020; Pang et al., 2021; Bretschneider et al., 2022). ECSs are light, compact in size, and of low power consumption (Alphasense, 2019b, a, f, e, d) – properties required for use on unmanned aerial vehicles (UAVs); however, the evaluation compared to reference devices in such airborne applications still remains a challenge.</p>
      <p id="d1e316">The data quality assurance of ECSs is an essential step due to their cross-sensitivities to a wide range of influencing factors. These include
meteorological parameters, such as temperature (Mead et al., 2013; Popoola et al., 2016) and relative humidity (RH; Samad et al., 2020; Wei et al., 2018), and cross-sensitivities to other gases (Mueller et al., 2017; Pang et al., 2018; Lewis et al., 2016). Furthermore, the gradients of meteorological parameters like the rate of relative humidity changes (% s<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) can influence the sensor signal, with slow recovery times of up to hours (Mueller et al., 2017; Pang et al., 2017, 2018). There are two possible scenarios to compensate for such interferences, namely hardware modifications and post-processing of the data. Examples of hardware modifications are the introduction of a fourth electrode in the typical three-electrode electrochemical sensor to compensate for zero shifts (Baron and Saffell, 2017) and the implementation of a filter for specific cross-interfering gases, e.g., for O<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in a NO<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ECS (Hossain et al., 2016). On the post-processing side, a growing variety of methods are used to obtain sufficient data quality. These include not only parametric algorithms such as multiple linear regressions (Wei et al., 2018) but also non-parametric methods such as decision trees (Zimmerman et  al., 2018), artificial neural networks (Han et al., 2021), or other numerical models (Cross et al., 2017). Machine learning is often used as an equivalent term for non-parametric models (WMO, 2018). It has the advantage to identify more complex interferences in large datasets such as non-linearities, time dependencies, or combined interferences. A limitation, however, is that the cause of these interferences remains unknown when using machine learning models, in contrast to, for example, linear regression methods where such dependencies can be identified.</p>
      <p id="d1e350">In this work, we evaluate the performance of low-cost sensors and develop a
correction method that accounts for ECS interferences based on real-time
airborne observations on board a Zeppelin NT. This includes the measurements
of CO, NO, NO<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) that are compared to the MIRO MGA (Tillmann et al., 2022) used as a reference device to evaluate the performance of the sensors. We show that ECSs can be used for reliable, in situ trace gas measurements and highlight their potential for airborne applications aboard UAVs.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Experimental setup/platform</title>
      <p id="d1e406">Figure 1 shows the experimental setup for the in situ airborne measurements. This includes a Zeppelin NT (Fig. 1b) as a measurement platform equipped with a hatch box (Fig. 1a), located on the bottom of the airship. The Zeppelin NT is particularly suitable for planetary boundary layer (PBL) measurements due to its long flight duration (up to 20 h) at low altitudes below 1 km, a high payload of around 1000 kg, and good maneuverability. This allows measurements within the PBL to investigate the influence of different urban
emission sources on air quality (Tillmann et al., 2022).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e411"><bold>(a)</bold> Hatch box, including the sensor setups, located on the bottom of <bold>(b)</bold> the Zeppelin NT (© Forschungszentrum Jülich/Ralf-Uwe Limbach) that was used as the measurement platform in this work. The reference device, MIRO MGA, was installed inside the gondola but with the inlet line right beside the sensor setups, as shown at the top right of panel <bold>(a)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-f01.jpg"/>

        </fig>

      <p id="d1e428">Six electrochemical sensor (ECS) setups are installed at the hatch box,
together with a GPS module (Adafruit Ultimate GPS), Long-Term Evolution
(LTE) – a standard for wireless broadband communication for mobile devices
– equipment for remote access, ventilation fans to regulate the hatch box
pressure, two optical particle counters, and fuses to protect the
electronics. The hatch box dimensions are <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mn mathvariant="normal">738</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">538</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">162</mml:mn></mml:mrow></mml:math></inline-formula>
(length <inline-formula><mml:math id="M20" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> width <inline-formula><mml:math id="M21" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> height in millimeters). The sensor inlets are located outside of the hatch box and exposed to ambient air via diffusion. A sensor setup, as shown in Fig. S1 in the Supplement, consists of four ECS to measure the trace gases CO, NO, NO<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>), a Telaire ChipCap 2 sensor for temperature and relative humidity measurements, and a self-developed printed circuit board (PCB) for managing and saving the incoming data at a frequency of 1 Hz. Further specifications of the sensors are given in Table 1. The setups are powered by the Zeppelin NT and further supported by two batteries to provide uninterrupted power to the sensors.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e504">Specifications of each sensor setup. Note: ppm is parts per million, and ppb is parts per billion.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Parameter</oasis:entry>

         <oasis:entry colname="col2">Sensor</oasis:entry>

         <oasis:entry colname="col3">Principle</oasis:entry>

         <oasis:entry colname="col4">Response time<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5">Accuracy<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6">Range<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">CO</oasis:entry>

         <oasis:entry colname="col2">Alphasense CO-B4</oasis:entry>

         <oasis:entry colname="col3">Amperometric</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> s (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> ppb</oasis:entry>

         <oasis:entry colname="col6">0–1000 ppm</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5">(precision, 2<inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">NO</oasis:entry>

         <oasis:entry colname="col2">Alphasense NO-B4</oasis:entry>

         <oasis:entry colname="col3">Amperometric</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> s (<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ppb</oasis:entry>

         <oasis:entry colname="col6">0–20 ppm</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5">(precision, 2<inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2">Alphasense NO2-B43F</oasis:entry>

         <oasis:entry colname="col3">Amperometric</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> s (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ppb</oasis:entry>

         <oasis:entry colname="col6">0–20 ppm</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5">(precision, 2<inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">O<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col2">Alphasense Ox-B431</oasis:entry>

         <oasis:entry colname="col3">Amperometric</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> s (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ppb</oasis:entry>

         <oasis:entry colname="col6">0–20 ppm</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5">(precision, 2<inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Aerosol (size distribution,</oasis:entry>

         <oasis:entry colname="col2">Alphasense OPC-N3</oasis:entry>

         <oasis:entry colname="col3">Light scattering</oasis:entry>

         <oasis:entry colname="col4">1–30 s</oasis:entry>

         <oasis:entry colname="col5">–</oasis:entry>

         <oasis:entry colname="col6">0.35–40 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4">(sampling interval)</oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1">Temperature</oasis:entry>

         <oasis:entry colname="col2" morerows="2">Telaire ChipCap 2</oasis:entry>

         <oasis:entry rowsep="1" colname="col3">CMOS</oasis:entry>

         <oasis:entry rowsep="1" colname="col4">5 s (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C</oasis:entry>

         <oasis:entry rowsep="1" colname="col6"><inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> to 125 <inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Relative humidity</oasis:entry>

         <oasis:entry colname="col3">Capacitive</oasis:entry>

         <oasis:entry colname="col4">4 s (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> % RH</oasis:entry>

         <oasis:entry colname="col6">0 %–100 % RH</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5">(20 %–80 % RH)</oasis:entry>

         <oasis:entry colname="col6">(Non-condensing)</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e507"><inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Specifications given in the corresponding data sheets.
<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Connected to setup no. 1 and no. 4 but not used in this work.</p></table-wrap-foot></table-wrap>

      <p id="d1e1139"><?xmltex \hack{\newpage}?>In this study, we focus on the measurements of NO and NO<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (NO<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>),
using electrochemical sensors from Alphasense (Essex, UK). Laboratory
evaluation and optimization of the CO and O<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> sensor performance is
currently ongoing and the focus of a future study, as further discussed in
Sect. 2.3.3. Here, the NO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements are performed using amperometric gas sensors that have four electrodes, namely a working electrode (WE), a counter electrode (CE), a reference electrode (RE), and the auxiliary electrode (AUX). The measuring principle is based on a redox reaction that takes place at the WE and the CE (reduction and oxidation). The RE keeps the WE at a constant potential to force the desired  electrochemical reaction of the analyte on the three-phase boundary (electrode, electrolyte, and gas). The resulting charges are transferred to each electrode in the form of ions via the electrolyte solution and in the form of electrons via an external circuit. The resulting current of the electron transfer is the measurement signal of the sensor. This current is exactly proportional to the concentration of the analyte when the sensor is operated under appropriate diffusion-limited conditions. Many kinetic factors, such as the mass transfer of the analyte to the electrode and the electrocatalytic activity of the electrode material, can be adjusted via the design of the sensor (Stetter and Li, 2008). AUX has the same design as the
WE but is fully immersed in the electrolyte and has no interface with the gas phase (Baron and Saffell, 2017). Therefore, the AUX signal can be used to correct the WE signal from influences on the WE other than the analyte (e.g., temperature). The measured WE and AUX currents are converted into a voltage signal using an individual sensor board (ISB; Alphasense). Finally, this signal is digitized by the measurement board and then recorded on a SD (Secure Digital) card in binary format and can also be transferred serially.</p>
      <p id="d1e1179">Besides the measurement equipment in the hatch box, a MIRO MGA10-GP multi-compound gas analyzer was installed in the gondola. The MIRO MGA
measures the amount fractions of 10 trace gases (NO, NO<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
SO<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, CO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CH<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, H<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, NH<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and N<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O) by direct
laser absorption spectroscopy. In this study it is used as a reference
system for the ECS and enables a direct performance evaluation of the ECS in
an airborne setting. Hundt et al. (2018) and Liu et al. (2018) provide more in-depth details about the MIRO, while more information on its use on the Zeppelin NT is given by Tillmann et al. (2022). For an accurate intercomparison to the ECSs, a perfluoroalkoxy alkane (PFA) inlet line with
a length of 8 m was placed next to the ECSs in the hatch box (Fig. 1a) and connected to the MIRO. The volumetric flow rate used for the MIRO was 1.2 SLM, resulting in a residence time of the gas inside the line of around 5 s.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Location and dates</title>
      <p id="d1e1263">Figure 2a depicts a map with the flight paths for our measurements in 2020. The flights took place within two periods in mid- to late spring, with
targeted research flights performed from 29 April to 9 May 2020 and measurements during commercial flights from 27 May to 15 June 2020. All
flights were over Germany and predominantly over North Rhine-Westphalia,
except for the transfer flights on 29 April and 27 May 2020 from Friedrichshafen to North Rhine-Westphalia and from North Rhine-Westphalia
back to Friedrichshafen on 9 May and 15 June 2020. During the targeted
flights, specific emission sources, e.g., a power plant, were targeted in addition to cities and rural areas. More detailed information on individual flights is provided by Tillmann et al. (2022). Figure 2b shows the in-flight measured temperature and relative humidity values. According to the manufacturer's specifications, the sensors should be used in the range from <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> to 40 <inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 15 % to 85 % relative humidity (Alphasense, 2019b, a, e, d). Nearly the entire dataset is within these specifications, with 1 % and 99 % percentiles at 8.4 <inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (1 %), 25.7 <inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (99 %) and 28.0 % RH (1 %) and 84.0 % RH (99 %), respectively. Furthermore, the manufacturer recommendations are given for continuous exposure at high or low RH, which was not observed for the whole dataset, hence limiting the influence of such interferences for this study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1305"><bold>(a)</bold> Map with flight paths in North Rhine-Westphalia, Germany (© OpenStreetMap contributors 2021. Distributed under the Open Data Commons Open Database License (ODbL) v1.0), and <bold>(b)</bold> the frequency distribution of the corresponding temperature and relative humidity in-flight values for the targeted (blue) and commercial (orange) flights, as illustrated in violin plots. The manufacturer-specified limits within which the sensors should be used are depicted in shaded green in the background.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-f02.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Data processing</title>
      <p id="d1e1327">The quality of sensor data can be influenced by various parameters, including
transmission errors to the measurement board and electromagnetic interference between the devices (Alphasense, 2013), and defective sensor components. In this work, we use multiple ECSs in parallel to track defective sensors after following the steps that are outlined below.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Time synchronization and noise reduction</title>
      <p id="d1e1337">The clocks on each of the six sensor setups were manually preset; therefore, time synchronization was not ensured. In the first step, we chose a master setup, here setup no. 2, that was operational throughout all flights with a data coverage of 99 %. Next, a time shift was applied to the other setups to match it. To find the optimal values for this time shift, setup <inline-formula><mml:math id="M76" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> was shifted from <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> s, stepwise by 1 s, performing a linear regression analysis (setup <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mo>-</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> vs. setup no. 2). The linear regression resulting in the highest coefficient of determination, <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, was used to correct for the time difference in each setup to the master setup. This was done using the full dataset of each period of flights, both targeted and commercial, resulting in shifts within <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> s and an average time drift of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula> s per week, leading to a maximum drift of <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> s during each single period of flights.</p>
      <p id="d1e1431">In the next step, the data of the sensors and the MIRO MGA, whose clock is set via LTE, were synchronized. This synchronization step made it possible to
properly compare the sensors with each other and with the reference
instrument. Last, to reduce the noise of the ECS signals, a Savitzky–Golay
filter (Savitzky and Golay, 1964) was used. Here, a polynomial regression with a window size of <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> adjacent data points is solved by linear least squares. A window of 11 s (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>) and a polynomial degree of 3 was found to be optimal to smooth the signals without altering the analyte peaks. Figure S3 shows the difference between the sensor signal before and after applying the filter at different NO and NO<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations. The signal reduction is within 10 ppb (parts per billion; 2<inline-formula><mml:math id="M87" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, corresponding to around 95 % of the data), i.e., similar to the noise levels of the sensors (Fig. S2), independent of the NO and NO<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations, which highlights the minor influence of the Savitzky–Golay filter on larger peaks.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Temperature and relative humidity data</title>
      <p id="d1e1493">In addition, six ChipCap 2 sensors were used for temperature and relative
humidity measurements. The sensor's measurement principle is based on a
capacity change for relative humidity and a resistance variation for temperature. To evaluate the performance of these sensors, we intercompared
the differences between the six sensors, as shown in Fig. S4. From these
results it is evident that the temperature and relative humidity sensors of
setups no. 4, no. 6, and partly no. 5 provide erroneous data. We therefore
calculate and use throughout this work the mean values and standard
deviations of the remaining, quality-assured temperature and relative
humidity measurements, assuming response times within 5 s, as shown in Table 1.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Determination of amount fractions</title>
      <p id="d1e1504">In this work, we develop a correction method to accurately determine the amount fractions of NO and NO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> using regression parameters determined
with the ECS in-flight data (Sect. 3). A detailed description of the correction procedure is given in the Supplement and is based on the method
of Mead et al. (2013). After applying this correction method, the sensor voltage signals in millivolts are converted to amount fractions using sensitivity values in millivolts per part per billion provided by the manufacturer (Table S1 in the Supplement). Here, we assume constant sensitivities, given that their
dependency, e.g., to temperature, is a second-order effect (Mead et al., 2013; Popoola et al., 2016).</p>
      <p id="d1e1516">To account for sensor response times, a low-pass filter, in this case a
centered moving average with a window size of 31 s, is used that corresponds to the <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which is defined as the duration the sensor needs to reach 90 % of the final signal after a step change in concentration. This value is derived from the combined information given by the laboratory measurements (Table S2), which is in agreement with the manufacturer and published measurements (Mead et al., 2013); the manufacturer provides a <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> s for NO and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> s for NO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from 0 to 2 ppm (parts per million), whereas Mead et al. (2013) provide a <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">90</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 21 s for NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e1591">As a reference correction method, we use the recommended correction
described by the manufacturer (Alphasense, 2019c), following the above
equations, to correct the NO and NO<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> WE output for effects of temperature as follows:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M98" display="block"><mml:mtable rowspacing="5.690551pt" displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mi mathvariant="normal">u</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>WE</mml:mtext><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mtext>AUX</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mtext>AUX</mml:mtext><mml:mi mathvariant="normal">u</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>AUX</mml:mtext><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mi mathvariant="normal">u</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>WE</mml:mtext><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mtext>AUX</mml:mtext><mml:mi mathvariant="normal">u</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>AUX</mml:mtext><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where WE and AUX are the working and auxiliary electrode voltages. The subscripts u, e and 0 stand for the uncorrected components, i.e., measured signal, the electronic offset, and the sensor zero, respectively. The electronic offsets and sensor zero values are provided by the manufacturer and given in Table S1. WE<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and WE<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> are the corrected working electrode voltages for NO and NO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively. The temperature compensation factors <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are given in the range of <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> to 50 <inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in 10 <inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C steps. For temperatures within these 10 <inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C steps, a linear interpolation is advised.</p>
      <p id="d1e1855">ECSs were also used to measure CO and O<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). A
comparison of the ECS measurements to the MIRO reference instrument was
performed after following the manufacturer's recommendations to estimate
amount fractions for CO and O<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. However, high uncertainties were found due
to the high CO and O<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> backgrounds creating an offset to the sensors that was not accurately accounted for based on the manufacturer's correction procedure (Fig. S5). Additionally, the described correction procedure in the
Supplement that is used in this work for NO and NO<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> relies on periods with low analyte concentrations, ideally at zero, to account for offsets of the background signal. While this is a good approximation for NO and NO<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, it is not applicable to CO and O<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> because of their higher background concentrations which are often above several tens of ppb. Laboratory evaluation and optimization of the CO and O<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> sensor performance is currently ongoing and the focus of a future study. In this work, we evaluate the performance and highlight the potential of the NO and NO<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensors for accurate airborne applications.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sensor signal dependencies</title>
      <p id="d1e1968">All Zeppelin measurements were filtered for periods of low NO and NO<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ppb) using the measurement data of the reference instrument in order to find possible interferences in the WE signal of the electrochemical sensors. This procedure reduces the data to only background concentration periods and provides the signal that is influenced by cross-interferences. The correction method developed and described in the
following is entirely independent of a reference device and requires only
the sensors used. Figures 3 and S6 show the correlation of WE to AUX, <inline-formula><mml:math id="M119" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> at different time resolutions (i.e., averaging intervals) for NO and NO<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively. For 1 s resolution, coefficients of determination (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) are 0.86, 0.71, and 0.83 for NO and 0.57, 0.13, and 0.86 for NO<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with respect to AUX, <inline-formula><mml:math id="M124" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. For this dataset, we could not detect any other significant dependencies, including <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>T</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. S7). As described in Sect. 2.1, AUX can be used to correct the WE signal from external interferences. The collinearity between AUX and <inline-formula><mml:math id="M127" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> that is shown by the colored dataset in Fig. 3 further promotes the significant influence of temperature on the sensor measurements. However, other unknown interferences could have a simultaneous effect on WE and AUX, such as changes in the electrolyte composition or influences on the sensor board electronics that control the voltages of the electrodes. Therefore, we also consider AUX to be an additional correction parameter, despite the observed collinearity with temperature.</p>
      <p id="d1e2089">Figure 3 shows that temperature and AUX dependencies are effective on a longer timescale, since the relationship with WE does not change with lower time resolutions transitioning from 1 to 30 and 120 s. On the contrary, the
correlation with <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> decreases progressively with decreasing time resolution. Since ECSs are mostly deployed for long-term monitoring of air quality at, for example, stationary monitoring stations, mean values of up to 1 h are often used (Mijling et al., 2018). Therefore, at longer time resolutions, such effects are filtered out. However, for mobile applications, a high time resolution results in a better spatial resolution of the pollutant distributions, making this effect relevant.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2110">Scatterplots of NO sensor (setup no. 2) for WE vs. AUX, <inline-formula><mml:math id="M129" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>, with different time resolutions of <bold>(a)</bold> 1 s, <bold>(b)</bold> 30 s, and <bold>(c)</bold> 120 s provided per
row. The colors are used to show collinearity between AUX and <inline-formula><mml:math id="M131" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and that the shift in WE voltages in the <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> plot is a temperature interference.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-f03.png"/>

        </fig>

      <p id="d1e2176"><?xmltex \hack{\newpage}?>Previous publications have shown the influence of humidity changes on the
WE signal, after which there is a spike in the signal followed by a slow decay (Mueller et al., 2017; Pang et al., 2017, 2018). Mueller et al. (2017) conducted laboratory tests with relative humidity changes of
5 % RH every 20 min between 40 % RH and 60 % RH. They observed
that this changed the sensor signal by a similar order of magnitude to the
addition of 70 ppb NO<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Afterwards, the signal decreased exponentially
in time back to equilibrium. Through further measurements, they found that
the effect was dependent on the magnitude and rate of the relative humidity
variation that can affect the measurement accuracy over minutes to hours –
but the physical reason for this is currently unknown. Pang et al. (2017)
came to a similar conclusion. Rapid RH changes (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> % min<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) had an immediate influence on the sensor signal, followed by a required recovery
period of up to 40 min to restore the original value, whereas small humidity
changes of about 0.1 % min<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> had no significant effect. When compared to our measurements, the humidity changes in these laboratory experiments are unidirectional and over a longer timescale. During the flights, we observe both negative and positive humidity changes on a short timescale. For example, the mentioned 20 % min<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> RH change that triggers the long recovery phase results in 0.33 % s<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, assuming a linear increase. During the Zeppelin flights, we observe such a longer-lasting effect, starting at about 0.7 % s<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, after which it takes up to 5 min for the signal to stabilize again, depending on the magnitude of the rate of change. Since we do not have an exact analytical solution for correcting this dependency yet, these values were removed from the dataset. However, we were able to describe the dependence of the WE voltages on the temporally small-scale changes in relative humidity (max <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> % s<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which affect the signals only immediately and briefly, with a linear relationship (see Fig. 3).</p>
      <p id="d1e2282">In the following, we use the above correlations on <inline-formula><mml:math id="M142" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, AUX, and
<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> to develop a correction method using the equations below for NO and NO<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M145" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mtext>AUX</mml:mtext><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M146" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">a</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mtext>AUX</mml:mtext><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          where WE<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> is the WE signal after the preparation steps from Sect. 2.3.1, <inline-formula><mml:math id="M148" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the temperature in degrees Celsius, and <inline-formula><mml:math id="M149" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>z</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0, 1, 2, 3) are the determined regression parameters. We give a more detailed description of how to obtain Eqs. (S3) and (S4) in the Supplement and show the regression parameters in Table S3. To calculate the amount fractions, WE<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> and WE<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> are then divided by the corresponding sensitivities of the sensors (Table S1). In the following sections, we will often use NO<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). For the ECSs, this means the following:
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M156" display="block"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">NO</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mtext>WE</mml:mtext><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          in which the summands are moving averages, as described in Sect. 2.3.3, to
consider the response time of the ECSs.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Validation of ECSs performance</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Intercomparison of ECS setups</title>
      <p id="d1e2779">Table 2 shows the intercomparison of all ECS setups, after applying the corrections presented in Sect. 3.1, by performing linear regression analysis
including their slopes, the intercepts, and coefficients of determination
<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. All NO sensors are in good agreement with slopes ranging from 0.92
to 1.12, intercepts from <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.91</mml:mn></mml:mrow></mml:math></inline-formula> ppb, and <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.99</mml:mn></mml:mrow></mml:math></inline-formula>, whereas for NO<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> slopes range from 0.82 to 1.07, intercepts from <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.29</mml:mn></mml:mrow></mml:math></inline-formula> ppb, and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> from 0.80 to 0.94. Although the <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is high for all setups, the regressions of setup nos. 4 and 5 with the NO sensors show greater variability in terms of intercepts and slopes. For NO, setup no. 5 has the highest offset of 5.91 ppb and a larger slope compared to all other setups. For NO<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the results are not as definite, but the <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is generally lower for setup nos. 4 and 5, indicating the higher noise of the sensors. This is also further supported by Fig. S8, with the noise of the sensor setup nos. 4 and 5 at 5.03 and 3.59 ppb for NO and 6.32 and 5.43 ppb for NO<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively. Setup nos. 3 and 6 have similar precisions for NO compared to setup no. 2, with values of 1.45 and
1.98 ppb compared to 1.95 ppb, respectively; however, their noise for
NO<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is approximately 55 % and 61 % higher than for setup no. 2.
Therefore, we exclusively use setup no. 2 in the following, given the
consistent agreement to other sensors, the lower noise, and the high
in-flight data coverage <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> %.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2932">From left to right are the <bold>(a)</bold> slopes, <bold>(b)</bold> intercepts, and <bold>(c)</bold> <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of the linear regressions between one setup and any other setup for <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">286</mml:mn></mml:mrow></mml:math></inline-formula> h of measurements (<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> h in flight). The lower triangles, depicted with black framed rectangles, are the NO sensors results. The gray diagonally striped rectangles in the upper triangle show the results of the NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensors. The light-to-dark color map indicates the range from worst to best values, respectively.</p></caption>
  <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-t02.png"/>
</table-wrap>

      <p id="d1e2990">The regression parameters for NO<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are more variable than for NO. One
possible reason is the smaller temperature dependence for NO<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. As a
result, AUX, for example, for setup no. 2, varies only between 220 and 240 mV, whereas NO varies between 300 and 400 mV (Figs. 3 and S6). This indicates that the temperature influence is the dominant contribution for the baseline correction of the NO sensor, whereas the WE of the NO<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensor could additionally be influenced by other interfering factors that do not affect the AUX and are not accounted for here. Another factor is the much larger number of data points for NO (<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4026</mml:mn></mml:mrow></mml:math></inline-formula>) than for NO<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">155</mml:mn></mml:mrow></mml:math></inline-formula>) for amount fractions above 50 ppb, leading to a more stable regression line for NO.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Noise reduction</title>
      <p id="d1e3062">Figure 4 shows the distributions of the standard deviations of the NO (Fig. 4a) and NO<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 4b) sensors for each of the 31 s windows, which were used to calculate the moving average (Sect. 2.3.3). The data were filtered for periods with height above 100 m (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">270</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">198</mml:mn></mml:mrow></mml:math></inline-formula>) to avoid engine exhaust peaks that would result in high standard deviations because of the high changes in concentrations inside these time windows. The correction used here, shown in blue and green, results in the lowest noise, with modal values for NO of 2.03 ppb for the correction with <inline-formula><mml:math id="M183" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and AUX and 1.95 ppb when <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is additionally included in the correction, whereas for NO<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the noise modal values are 3.66 and 3.32 ppb. Besides the change in peak position, the distributions become narrower when correcting with <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>. This leads to significantly higher peaks of around 60 % for both analytes because the number of data points with standard deviations above 3 ppb for NO and above 5 ppb for NO<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> decreases, highlighting the significant noise reduction when including <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> in the correction procedure.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3165">Distributions of standard deviations calculated inside 31 s windows shown for <bold>(a)</bold> NO and <bold>(b)</bold> NO<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensors of setup no. 2 and filtered for flights above 100 m to avoid engine exhaust peaks (number of data points <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">270</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">198</mml:mn></mml:mrow></mml:math></inline-formula>). Adding <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> to the correction procedure leads to a narrower distribution by reducing high changes in the signal on a short timescale.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-f04.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Comparison of ECSs with the MIRO MGA</title>
      <p id="d1e3228">Figure 5a and b show the amount fractions of NO<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> for sensor setup
no. 2 (master setup; see Sect. 2.3.1), following the corrections recommended by the manufacturer, as described in Sect. 2.3.3, whereas Fig. 5c and d show the correction method developed in this work compared to the MIRO MGA used as a reference device. Additionally, comparisons of all setups with the MIRO MGA are shown in Fig. S10. As shown in Fig. 5a and c, the deviations of the sensor values to MIRO decreased from an absolute average of <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">27.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula> ppb. This means an absolute accuracy improvement by nearly an order of magnitude. The accuracy increase is mainly the result of the improved offsets changing from <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.15</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.29</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.76</mml:mn></mml:mrow></mml:math></inline-formula> to 9.12, <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.76</mml:mn></mml:mrow></mml:math></inline-formula>, and 3.15 ppb for NO, NO<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Fig. S9), and NO<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, respectively. Precision also improved, as reflected by the decrease in the associated error bars in Fig. 5, resulting in a higher coefficient of determination from 0.54 to 0.88. In general, NO and NO<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurements corrected with our method, and the resulting NO<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> values are close to the <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line. Moreover, the 2 standard deviations corresponding to 95 % of the data in each bin are within a factor of 2 above 20 ppb, which is particularly driven by the <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> correction, as also shown in Fig. 4.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3372">Scatterplots of the in-flight-corrected (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> h)
NO<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> sensor data (setup no. 2) vs. MIRO MGA data (reference) classified
in 2 ppb bins and 2 times the standard deviations (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>). Shown in panels <bold>(a)</bold> and <bold>(c)</bold> are the accuracies for each bin, i.e., the absolute difference between sensor and MIRO MGA data per bin. Panels <bold>(a)</bold> and <bold>(b)</bold> represent the corrections, as recommended by the manufacturer, whereas panels <bold>(c)</bold> and <bold>(d)</bold> provide the results of our correction method. The dashed blue line marks the <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, and the range of <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> is shaded in gray. The inlet plots show the data in a higher resolution from 0 to 50 ppb of the reference instrument. In addition, the linear regression results are shown at the bottom right.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-f05.png"/>

          </fig>

      <p id="d1e3468">While, on average, there is agreement within 3.5 ppb for NO<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> between the MIRO and ECSs at both high and low concentrations, this agreement is not
evident for the lower amount fractions of NO or NO<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Fig. S9). For NO,
an average overestimation of 34.4 % is observed below 40 ppb that increases to an average deviation of up to 600 % in the range of 0 to
5 ppb, whereas for NO<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> an underestimation of 31.3 % is observed for
amount fractions below 25 ppb, increasing to 300 % below 5 ppb, because
of the small absolute numbers. It is possible that the 8 m sampling line to
the MIRO could influence the composition of NO and NO<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, as an in-line
reaction of NO with O<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> could lead to higher NO<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and lower NO concentrations, compared to the sensors that have no sampling line. However,
this effect is expected to be minor due to the short sample residence time
of 5 s. In addition, other parameters may influence the performance of the
electrochemical sensors compared to the MIRO, such as cross-sensitivities to
other gases, the wind speed (Mead et al., 2013), or the atmospheric pressure. In this study, measurements of gases are limited to CO, CO<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CH<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, N<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, H<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, and O<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> that are performed by the MIRO MGA (Tillmann et al., 2022). No significant cross-interference was observed under the present atmospheric concentrations, as shown in Fig. S12. To quantify possible influences from wind speed and atmospheric pressure, a measuring chamber of a constant volumetric flow, together with pressure sensors, will be used in future campaigns.</p>
      <p id="d1e3572">Besides the above direct influences, there is also the possibility of sensor
drifts, i.e., a change in the sensor signal with time. Wei et al. (2018)
estimated a possible drift of <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ppb per month, whereas Mead et al. (2013) state that the sensitivity of the sensors remained unchanged over an 11-month measurement period. For our deployment duration of 1.5 months, sensor drifts are therefore expected to be within the uncertainty in the measurements, which is also reflected by the good agreement of the ECS and the MIRO in Figs. 5 and S10. Furthermore, Fig. S11 shows the time series of all sensors during different flight days in May and June to evaluate the influence of such sensor drifts. The consistent correlation of all setups to the MIRO highlights the stability of the sensors during this study. However, we promote the need for controlled laboratory measurements in the future to
evaluate long-term influences on the stability of the ECS signals, including
sensor drifts.</p>
      <p id="d1e3585">Evidently, with the manufacturer's correction, amount fractions (Fig. 5 a)
cannot be accurately quantified predominantly due to the high offset of
<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19.76</mml:mn></mml:mrow></mml:math></inline-formula> ppb. One possible reason is that, in Eqs. (1) and (2), the same temperature compensation factors are used for all sensors, whereas each sensor may react differently to a temperature change, which is also shown by
our regression parameters in Table S3. Another cause could be a drift of the
zero value, which is not caught by the temperature and AUX correction in these equations. In our method, sensor drifts are corrected by using minimum values of measured WE voltages, following the procedure described in Mead et al. (2013), as discussed in Sect. 2.3 and the Supplement.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Detection of anthropogenic NO${}_{{x}}$ emission sources}?><title>Detection of anthropogenic NO<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission sources</title>
      <p id="d1e3617">After the successful validity check by comparing the corrected sensor data
with the reference device in the former section, we now present possible
applications and the potential of ECSs for airborne measurements. Figure 6a and b show the flight path on 6 May 2020 between 07:30 and 08:30 UTC
in Eschweiler, North Rhine-Westphalia, Germany, when using the reference
instrument and the ECSs, respectively. Another example is shown in
Fig. 6c and d during a Zeppelin flight over Duisburg-Nord (Hamborn), North Rhine-Westphalia, Germany, on 7 May 2020 between 13:30 and 14:15 UTC.
As depicted in Fig. 6a, NO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> background concentrations are <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula> ppb and increase significantly in the northwest to a maximum of
<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ppb due to the emissions from the lignite-fired power
plant located near the flight path (Tillmann et al., 2022), which is further supported by the wind data that were extracted from high-resolution model simulations. When applying the correction method recommended by the manufacturer for the ECSs (Sect. 2.3.3), background concentrations of NO<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are at <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula> ppb and the industrial plume emissions at <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb, highlighting the limitations of this method. However, after applying the correction method developed in this work, as shown in Fig. 6b, a significant improvement is observed, with background concentrations at <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula> ppb and the power plant plume average at <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.6</mml:mn></mml:mrow></mml:math></inline-formula> ppb (Fig. S13a). This results in 40 % higher background concentrations for the sensor measurements in comparison to the MIRO and 5 % lower concentrations for the in-plume measurements.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3715">Amount fractions of NO<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> are shown by color and size for the MIRO
MGA <bold>(a, c)</bold> and the corrected sensor data of setup no. 2 <bold>(b, d)</bold> during flights in North Rhine-Westphalia, Germany, near and in the cities of Eschweiler and Duisburg, respectively (© OpenStreetMap contributors 2022. Distributed under the Open Data Commons Open Database License (ODbL) v1.0). The orientation and length of the arrow indicate the wind direction and wind speed (2.1 to 7.2 m s<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for panels <bold>a</bold> and <bold>b</bold> and 1.0 to 2.6 m s<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for panels <bold>c</bold> and <bold>d</bold>; data from EURAD-IM, WRF), respectively. With this, the emission sources can be narrowed down to a lignite-fired power plant located southeast of the detected peak <bold>(a, b)</bold> and to a steel industry <bold>(c, d)</bold> located in the gray shaded area.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/16/373/2023/amt-16-373-2023-f06.jpg"/>

        </fig>

      <p id="d1e3782">Similar results can be seen in Fig. 6c and d. Duisburg is known for its industry; there is a steel mill in this district, which is supplied with electricity by the gas-fired combined heat and power plant located on site. In addition, the motorways A42 and A59 run through the area. Westerly winds indicate that the source of emissions during the observed maximum amount fractions of <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">37.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.1</mml:mn></mml:mrow></mml:math></inline-formula> ppb for the MIRO and <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.4</mml:mn></mml:mrow></mml:math></inline-formula> ppb (Fig. S13b) for the sensor measurements are from the steel mill and the heat and power plant. The influence of highway emissions on the NO<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations is observed at around 51.48<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 6.77<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E when southerly wind directions transported emissions from the A42 and A59 highways to our sampling line. This is especially evident not only for the sensor data (Fig. S13d) but also observable for the MIRO (Fig. S13c). Here, the peak values are <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula> ppb for the MIRO and the ECS, respectively.</p>
      <p id="d1e3862">These case examples highlight the potential of the ECSs to detect emission
sources with concentrations down to 20 ppb. Although, there are larger
relative uncertainties due to the deviations in the individual NO and
NO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensors (see Sect. 3), the ECSs show better agreement with the MIRO
at higher concentrations, especially for NO<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, further promoting their
potential for airborne applications.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e3893">We showed that electrochemical sensors (ECSs) can be successfully used for airborne in situ measurements in the PBL. For this, we used a Zeppelin NT to perform an in-flight comparison of six sensor setups with a reference device during two measurement campaigns, including targeted and commercial flights, in Germany from April to June 2020. Each setup consisted of four electrochemical sensors for CO, NO, NO<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and one sensor each for temperature and relative humidity. These were installed in a custom-built hatch box mounted under the gondola. A quantum cascade laser-based multi-compound gas analyzer, called MIRO MGA, was placed as a reference instrument inside the gondola with an inlet line beside the ECSs.</p>
      <p id="d1e3938">We developed a standalone correction method, i.e., independent of a
reference device, for the ECSs that accounts for external influences on the
NO and NO<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensor signals by using the variability in the auxiliary
electrode voltage, temperature, and the relative humidity gradient. We show
that this correction method substantially improves the accuracy down to
<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.7</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula> ppb and lowers the noise (1<inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of the ECS to 1.92 and 3.32 ppb for NO and NO<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively. The combination of both sensor types (NO and NO<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) leads to a further improved accuracy of <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula> ppb for NO<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. When compared to the MIRO MGA, good agreement with a coefficient of determination of 0.88 and a slope of 0.92 is achieved for NO<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements. However, at lower concentrations below 40 and 25 ppb, average deviations of 34.4 % and <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31.3</mml:mn></mml:mrow></mml:math></inline-formula> % for NO and NO<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, respectively, were evident. Below 5 ppb, these deviations increased up to 300 % and <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> %, because of the small absolute values, indicating the limitations of ECSs for accurate quantification at lower amount fractions.</p>
      <p id="d1e4060">We highlight the potential to use the sensors for emission source
identification during Zeppelin flights by identifying emissions from a
lignite-fired power plant with a peak of approximately 21 ppb of NO<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
and from a large industrial area in Duisburg with a peak above 40 ppb.</p>
      <p id="d1e4072">Results from this work emphasize the potential of these sensors for in situ
airborne applications and provide a first milestone for future
quality-assured use on board UAVs without the need for a reference device. A
comprehensive characterization in the laboratory, including the simulation
of airborne conditions, before and after such applications, will improve the
ECS data quality even further.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4079">The data are available at <ext-link xlink:href="https://doi.org/10.26165/JUELICH-DATA/6D8B70" ext-link-type="DOI">10.26165/JUELICH-DATA/6D8B70</ext-link> (Schuldt et al., 2022).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4085">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-16-373-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-16-373-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4094">RT, FR, and AKS designed the experiments and flight campaigns. BW, CW, and FR carried them out. GIG and TS visualized the data. AKS, TAJK, GIG, RT, and TS contributed to the interpretation of the results. GIG and TS prepared the paper, with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4100">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4106">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4112">We acknowledge the support of Deutsche Zeppelin Reederei (DZR) and Zeppelin
Luftschifftechnik GmbH (ZLT). We would like to thank Anne Caroline Lange,
Elmar Friese, and Philipp Franke, for the high-resolution Weather Research and Forecasting Model (WRF) and EURopean Air pollution Dispersion–Inverse Model (EURAD-IM) simulations, Achim Grasse, for the laboratory measurements, and Morten Hundt and Oleg Aseev, for instrumentation support of the MIRO MGA. The authors gratefully acknowledge the computing time granted through JARA on
the supercomputer JURECA at Forschungszentrum Jülich.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4117">The article processing charges for this open-access publication were covered by the Forschungszentrum Jülich.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4123">This paper was edited by Albert Presto and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>
Alphasense: Shielding Toxic Sensors from Electromagnetic Interference, Alphasense Ltd,  Alphasense Application Note, AAN 103, p. 1, 2013.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>
Alphasense: Datasheet: NO2-B43F Nitrogen Dioxide Sensor 4-Electrode, Alphasense Ltd, Technical Specification, 2 pp., 2019a.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Alphasense: Datasheet: NO-B4 Nitric Oxide Sensor 4-Electrode, Alphasense Ltd, Technical Specification, 2 pp., 2019b.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>
Alphasense: AAN 803-05 Correcting for background currents in four electrode
toxic gas sensors, Alphasense Ltd, Alphasense Application Note, AAN 803, 16 pp., 2019c.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Alphasense: Datasheet: OX-B431 Oxidising Gas Sensor 4-Electrode; Ozone <inline-formula><mml:math id="M261" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>
Nitrogen Dioxide, Alphasense Ltd, Technical Specification, 4 pp., 2019d.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>
Alphasense: Datasheet: CO-B4 Carbon Monoxide Sensor 4-Electrode, Alphasense Ltd, Technical Specification, 2 pp., 2019e.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>
Alphasense: Datasheet: Individual Sensor Board (ISB) Alphasense B4
4-Electrode Gas Sensors, Alphasense Ltd, Technical Specification, 2 pp., 2019f.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Apte, J. S., Messier, K. P., Gani, S., Brauer, M., Kirchstetter, T. W.,
Lunden, M. M., Marshall, J. D., Portier, C. J., Vermeulen, R. C. H., and
Hamburg, S. P.: High-Resolution Air Pollution Mapping with Google Street
View Cars: Exploiting Big Data, Environ. Sci. Technol., 51, 6999–7008, <ext-link xlink:href="https://doi.org/10.1021/acs.est.7b00891" ext-link-type="DOI">10.1021/acs.est.7b00891</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Baron, R. and Saffell, J.: Amperometric Gas Sensors as a Low Cost Emerging
Technology Platform for Air Quality Monitoring Applications: A Review, ACS
Sens, 2, 1553–1566, <ext-link xlink:href="https://doi.org/10.1021/acssensors.7b00620" ext-link-type="DOI">10.1021/acssensors.7b00620</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Bretschneider, L., Schlerf, A., Baum, A., Bohlius, H., Buchholz, M.,
Düsing, S., Ebert, V., Erraji, H., Frost, P., Käthner, R.,
Krüger, T., Lange, A. C., Langner, M., Nowak, A., Pätzold, F.,
Rüdiger, J., Saturno, J., Scholz, H., Schuldt, T., Seldschopf, R.,
Sobotta, A., Tillmann, R., Wehner, B., Wesolek, C., Wolf, K., and Lampert,
A.: MesSBAR–Multicopter and Instrumentation for Air Quality Research,
Atmosphere, 13, 629, <ext-link xlink:href="https://doi.org/10.3390/atmos13040629" ext-link-type="DOI">10.3390/atmos13040629</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Bytnerowicz, A., Omasa, K., and Paoletti, E.: Integrated effects of air
pollution and climate change on forests: A northern hemisphere perspective,
Environ. Pollut., 147, 438–445, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2006.08.028" ext-link-type="DOI">10.1016/j.envpol.2006.08.028</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Chen, J. and Hoek, G.: Long-term exposure to PM and all-cause and
cause-specific mortality: A systematic review and meta-analysis, Environ. Int., 143, 105974, <ext-link xlink:href="https://doi.org/10.1016/j.envint.2020.105974" ext-link-type="DOI">10.1016/j.envint.2020.105974</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Cross, E. S., Williams, L. R., Lewis, D. K., Magoon, G. R., Onasch, T. B., Kaminsky, M. L., Worsnop, D. R., and Jayne, J. T.: Use of electrochemical sensors for measurement of air pollution: correcting interference response and validating measurements, Atmos. Meas. Tech., 10, 3575–3588, <ext-link xlink:href="https://doi.org/10.5194/amt-10-3575-2017" ext-link-type="DOI">10.5194/amt-10-3575-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Dallo, F., Zannoni, D., Gabrieli, J., Cristofanelli, P., Calzolari, F., de Blasi, F., Spolaor, A., Battistel, D., Lodi, R., Cairns, W. R. L., Fjæraa, A. M., Bonasoni, P., and Barbante, C.: Calibration and assessment of electrochemical low-cost sensors in remote alpine harsh environments, Atmos. Meas. Tech., 14, 6005–6021, <ext-link xlink:href="https://doi.org/10.5194/amt-14-6005-2021" ext-link-type="DOI">10.5194/amt-14-6005-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Gu, Q., Michanowicz, D. R., and Jia, C.: Developing a Modular Unmanned Aerial Vehicle
(UAV) Platform for Air Pollution Profiling, Sensors (Basel), 18, 4363,
<ext-link xlink:href="https://doi.org/10.3390/s18124363" ext-link-type="DOI">10.3390/s18124363</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Han, P., Mei, H., Liu, D., Zeng, N., Tang, X., Wang, Y., and Pan, Y.:
Calibrations of Low-Cost Air Pollution Monitoring Sensors for CO, NO<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and SO<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Sensors (Basel), 21, 256, <ext-link xlink:href="https://doi.org/10.3390/s21010256" ext-link-type="DOI">10.3390/s21010256</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Hossain, M., Saffell, J., and Baron, R.: Differentiating NO<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at Low Cost Air Quality Amperometric Gas Sensors, ACS Sensors, 1, 1291–1294,
<ext-link xlink:href="https://doi.org/10.1021/acssensors.6b00603" ext-link-type="DOI">10.1021/acssensors.6b00603</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Huangfu, P. and Atkinson, R.: Long-term exposure to NO<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and all-cause and respiratory mortality: A systematic review and meta-analysis,
Environ. Int., 144, 105998, <ext-link xlink:href="https://doi.org/10.1016/j.envint.2020.105998" ext-link-type="DOI">10.1016/j.envint.2020.105998</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Hundt, P. M., Tuzson, B., Aseev, O., Liu, C., Scheidegger, P., Looser, H.,
Kapsalidis, F., Shahmohammadi, M., Faist, J., and Emmenegger, L.:
Multi-species trace gas sensing with dual-wavelength QCLs, Appl. Phys. B-Lasers O., 124, 108, <ext-link xlink:href="https://doi.org/10.1007/s00340-018-6977-y" ext-link-type="DOI">10.1007/s00340-018-6977-y</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>
IPCC: Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Masson-Delmotte, V., Zhai, P., Pirani, A., Connors, S. L., Péan, C., Berger, S., Caud, N., Chen, Y., Goldfarb, L., Gomis, M. I., Huang, M., Leitzell, K., Lonnoy, E., Matthews, J. B. R., Maycock, T. K., Waterfield, T., Yelekçi, O., Yu, R., and Zhou, B., Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, in press, 2021.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Kampa, M. and Castanas, E.: Human health effects of air pollution, Environ.
Pollut., 151, 362–367, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2007.06.012" ext-link-type="DOI">10.1016/j.envpol.2007.06.012</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Lewis, A. C., Lee, J. D., Edwards, P. M., Shaw, M. D., Evans, M. J., Moller,
S. J., Smith, K. R., Buckley, J. W., Ellis, M., Gillot, S. R., and White,
A.: Evaluating the performance of low cost chemical sensors for air pollution research, Faraday Discuss., 189, 85–103, <ext-link xlink:href="https://doi.org/10.1039/c5fd00201j" ext-link-type="DOI">10.1039/c5fd00201j</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Liu, C., Tuzson, B., Scheidegger, P., Looser, H., Bereiter, B., Graf, M.,
Hundt, M., Aseev, O., Maas, D., and Emmenegger, L.: Laser driving and data
processing concept for mobile trace gas sensing: Design and implementation,
Rev. Sci. Instrum., 89, 065107, <ext-link xlink:href="https://doi.org/10.1063/1.5026546" ext-link-type="DOI">10.1063/1.5026546</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Mawrence, R., Munniks, S., and Valente, J.: Calibration of Electrochemical
Sensors for Nitrogen Dioxide Gas Detection Using Unmanned Aerial Vehicles,
Sensors (Basel), 20, 7332, <ext-link xlink:href="https://doi.org/10.3390/s20247332" ext-link-type="DOI">10.3390/s20247332</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>McLaughlin, S. B.: Effects of Air Pollution on Forests – a Critical Review,
Japca J. Air Waste. Ma., 35, 512–534, <ext-link xlink:href="https://doi.org/10.1080/00022470.1985.10465928" ext-link-type="DOI">10.1080/00022470.1985.10465928</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Mead, M. I., Popoola, O. A. M., Stewart, G. B., Landshoff, P., Calleja, M.,
Hayes, M., Baldovi, J. J., McLeod, M. W., Hodgson, T. F., Dicks, J., Lewis,
A., Cohen, J., Baron, R., Saffell, J. R., and Jones, R. L.: The use of
electrochemical sensors for monitoring urban air quality in low-cost,
high-density networks, Atmos. Environ., 70, 186–203,
<ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2012.11.060" ext-link-type="DOI">10.1016/j.atmosenv.2012.11.060</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Messier, K. P., Chambliss, S. E., Gani, S., Alvarez, R., Brauer, M., Choi,
J. J., Hamburg, S. P., Kerckhoffs, J., Lafranchi, B., Lunden, M. M.,
Marshall, J. D., Portier, C. J., Roy, A., Szpiro, A. A., Vermeulen, R. C.
H., and Apte, J. S.: Mapping Air Pollution with Google Street View Cars:
Efficient Approaches with Mobile Monitoring and Land Use Regression,
Environ. Sci. Technol., 52, 12563–12572, <ext-link xlink:href="https://doi.org/10.1021/acs.est.8b03395" ext-link-type="DOI">10.1021/acs.est.8b03395</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Mijling, B., Jiang, Q., de Jonge, D., and Bocconi, S.: Field calibration of electrochemical NO2 sensors in a citizen science context, Atmos. Meas. Tech., 11, 1297–1312, <ext-link xlink:href="https://doi.org/10.5194/amt-11-1297-2018" ext-link-type="DOI">10.5194/amt-11-1297-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Mueller, M., Meyer, J., and Hueglin, C.: Design of an ozone and nitrogen dioxide sensor unit and its long-term operation within a sensor network in the city of Zurich, Atmos. Meas. Tech., 10, 3783–3799, <ext-link xlink:href="https://doi.org/10.5194/amt-10-3783-2017" ext-link-type="DOI">10.5194/amt-10-3783-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Orellano, P., Reynoso, J., Quaranta, N., Bardach, A., and Ciapponi, A.:
Short-term exposure to particulate matter (PM<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>), nitrogen dioxide (NO<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), and ozone (O<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and all-cause and cause-specific mortality: Systematic review and <italic>meta</italic>-analysis, Environ. Int., 142, 105876, <ext-link xlink:href="https://doi.org/10.1016/j.envint.2020.105876" ext-link-type="DOI">10.1016/j.envint.2020.105876</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Pang, X., Shaw, M. D., Gillot, S., and Lewis, A. C.: The impacts of water
vapour and co-pollutants on the performance of electrochemical gas sensors
used for air quality monitoring, Sensor. Actuat. B-Chem., 266, 674–684, <ext-link xlink:href="https://doi.org/10.1016/j.snb.2018.03.144" ext-link-type="DOI">10.1016/j.snb.2018.03.144</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Pang, X., Chen, L., Shi, K., Wu, F., Chen, J., Fang, S., Wang, J., and Xu,
M.: A lightweight low-cost and multipollutant sensor package for aerial
observations of air pollutants in atmospheric boundary layer, Sci. Total
Environ., 764, 142828, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.142828" ext-link-type="DOI">10.1016/j.scitotenv.2020.142828</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Pang, X. B., Shaw, M. D., Lewis, A. C., Carpenter, L. J., and Batchellier,
T.: Electrochemical ozone sensors: A miniaturised alternative for ozone
measurements in laboratory experiments and air-quality monitoring, Sensor.
Actuat. B-Chem., 240, 829–837, <ext-link xlink:href="https://doi.org/10.1016/j.snb.2016.09.020" ext-link-type="DOI">10.1016/j.snb.2016.09.020</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Pochwala, S., Gardecki, A., Lewandowski, P., Somogyi, V., and Anweiler, S.:
Developing of Low-Cost Air Pollution Sensor-Measurements with the Unmanned
Aerial Vehicles in Poland, Sensors (Basel), 20, 3582,  <ext-link xlink:href="https://doi.org/10.3390/s20123582" ext-link-type="DOI">10.3390/s20123582</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Popoola, O. A. M., Stewart, G. B., Mead, M. I., and Jones, R. L.:
Development of a baseline-temperature correction methodology for
electrochemical sensors and its implications for long-term stability,
Atmos. Environ., 147, 330–343, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2016.10.024" ext-link-type="DOI">10.1016/j.atmosenv.2016.10.024</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Popoola, O. A. M., Carruthers, D., Lad, C., Bright, V. B., Mead, M. I.,
Stettler, M. E. J., Saffell, J. R., and Jones, R. L.: Use of networks of low
cost air quality sensors to quantify air quality in urban settings,
Atmos. Environ., 194, 58–70, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.09.030" ext-link-type="DOI">10.1016/j.atmosenv.2018.09.030</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Quah, E. and Boon, T. L.: The economic cost of particulate air pollution on
health in Singapore, Journal of Asian Economics, 14, 73–90,
<ext-link xlink:href="https://doi.org/10.1016/S1049-0078(02)00240-3" ext-link-type="DOI">10.1016/S1049-0078(02)00240-3</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Rai, A. C., Kumar, P., Pilla, F., Skouloudis, A. N., Di Sabatino, S., Ratti,
C., Yasar, A., and Rickerby, D.: End-user perspective of low-cost sensors
for outdoor air pollution monitoring, Sci. Total Environ., 607–608, 691–705, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2017.06.266" ext-link-type="DOI">10.1016/j.scitotenv.2017.06.266</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Sahu, R., Nagal, A., Dixit, K. K., Unnibhavi, H., Mantravadi, S., Nair, S., Simmhan, Y., Mishra, B., Zele, R., Sutaria, R., Motghare, V. M., Kar, P., and Tripathi, S. N.: Robust statistical calibration and characterization of portable low-cost air quality monitoring sensors to quantify real-time O<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations in diverse environments, Atmos. Meas. Tech., 14, 37–52, <ext-link xlink:href="https://doi.org/10.5194/amt-14-37-2021" ext-link-type="DOI">10.5194/amt-14-37-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Samad, A., Obando Nunez, D. R., Solis Castillo, G. C., Laquai, B., and Vogt,
U.: Effect of Relative Humidity and Air Temperature on the Results Obtained
from Low-Cost Gas Sensors for Ambient Air Quality Measurements, Sensors
(Basel), 20, 5175, <ext-link xlink:href="https://doi.org/10.3390/s20185175" ext-link-type="DOI">10.3390/s20185175</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Savitzky, A. and Golay, M. J. E.: Smoothing and Differentiation of Data by
Simplified Least Squares Procedures, Anal. Chem., 36, 1627–1639,
<ext-link xlink:href="https://doi.org/10.1021/ac60214a047" ext-link-type="DOI">10.1021/ac60214a047</ext-link>, 1964.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Schuldt, T., Georgios, I. G., Christian, W., Franz, R., Benjamin, W.,
Thomas, A. J. K., Astrid, K.-S., and Ralf, T.: Replication Data for:
Zeppelin flights 2020: Electrochemical sensors, V1, Jülich DATA [data set], <ext-link xlink:href="https://doi.org/10.26165/JUELICH-DATA/6D8B70" ext-link-type="DOI">10.26165/JUELICH-DATA/6D8B70</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Schuyler, T. and Guzman, M.: Unmanned Aerial Systems for Monitoring Trace
Tropospheric Gases, Atmosphere, 8, 206, <ext-link xlink:href="https://doi.org/10.3390/atmos8100206" ext-link-type="DOI">10.3390/atmos8100206</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Shusterman, A. A., Teige, V. E., Turner, A. J., Newman, C., Kim, J., and Cohen, R. C.: The BErkeley Atmospheric CO<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> Observation Network: initial evaluation, Atmos. Chem. Phys., 16, 13449–13463, <ext-link xlink:href="https://doi.org/10.5194/acp-16-13449-2016" ext-link-type="DOI">10.5194/acp-16-13449-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Spinelle, L., Gerboles, M., Villani, M. G., Aleixandre, M., and
Bonavitacola, F.: Field calibration of a cluster of low-cost available
sensors for air quality monitoring. Part A: Ozone and nitrogen dioxide,
Sensor. Actuat. B-Chem., 215, 249–257, <ext-link xlink:href="https://doi.org/10.1016/j.snb.2015.03.031" ext-link-type="DOI">10.1016/j.snb.2015.03.031</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Spinelle, L., Gerboles, M., Villani, M. G., Aleixandre, M., and
Bonavitacola, F.: Field calibration of a cluster of low-cost commercially
available sensors for air quality monitoring. Part B: NO, CO and CO<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
Sensor. Actuat. B-Chem., 238, 706–715, <ext-link xlink:href="https://doi.org/10.1016/j.snb.2016.07.036" ext-link-type="DOI">10.1016/j.snb.2016.07.036</ext-link>,
2017.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Stetter, J. R. and Li, J.: Amperometric gas sensors: a review, Chem. Rev.,
108, 352–366, <ext-link xlink:href="https://doi.org/10.1021/cr0681039" ext-link-type="DOI">10.1021/cr0681039</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Sun, L., Wong, K. C., Wei, P., Ye, S., Huang, H., Yang, F., Westerdahl, D.,
Louie, P. K., Luk, C. W., and Ning, Z.: Development and Application of a
Next Generation Air Sensor Network for the Hong Kong Marathon 2015 Air
Quality Monitoring, Sensors (Basel), 16, 211, <ext-link xlink:href="https://doi.org/10.3390/s16020211" ext-link-type="DOI">10.3390/s16020211</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Tillmann, R., Gkatzelis, G. I., Rohrer, F., Winter, B., Wesolek, C., Schuldt, T., Lange, A. C., Franke, P., Friese, E., Decker, M., Wegener, R., Hundt, M., Aseev, O., and Kiendler-Scharr, A.: Air quality observations onboard commercial and targeted Zeppelin flights in Germany – a platform for high-resolution trace-gas and aerosol measurements within the planetary boundary layer, Atmos. Meas. Tech., 15, 3827–3842, <ext-link xlink:href="https://doi.org/10.5194/amt-15-3827-2022" ext-link-type="DOI">10.5194/amt-15-3827-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Villa, T. F., Salimi, F., Morton, K., Morawska, L., and Gonzalez, F.:
Development and Validation of a UAV Based System for Air Pollution
Measurements, Sensors (Basel), 16, 2202, <ext-link xlink:href="https://doi.org/10.3390/s16122202" ext-link-type="DOI">10.3390/s16122202</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Von Schneidemesser, E., Driscoll, C., Rieder, H. E., and Schiferl, L. D.:
How will air quality effects on human health, crops and ecosystems change in
the future?, Philos. T. Roy. Soc. A, 378, 20190330, <ext-link xlink:href="https://doi.org/10.1098/rsta.2019.0330" ext-link-type="DOI">10.1098/rsta.2019.0330</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Wei, P., Ning, Z., Ye, S., Sun, L., Yang, F., Wong, K. C., Westerdahl, D.,
and Louie, P. K. K.: Impact Analysis of Temperature and Humidity Conditions
on Electrochemical Sensor Response in Ambient Air Quality Monitoring,
Sensors (Basel), 18, 59, <ext-link xlink:href="https://doi.org/10.3390/s18020059" ext-link-type="DOI">10.3390/s18020059</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>
WHO: WHO global air quality guidelines: particulate matter (PM2.5 and
PM10), ozone, nitrogen dioxide, sulfur dioxide and carbon monoxide), World
Health Organization, xxi, 273 pp., ISBN 978-92-4-003422-8, 2021.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>
WMO: Low-cost sensors for the measurement of atmospheric composition: overview of topic and future applications, edited by: Lewis, A. C., von Schneidemesser, E., and Peltier, R. E., World Meteorological Organization (WMO), Geneva, WMO-No. 1215, 68 pp., ISBN 978-92-63-11215-6, 2018.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Zimmerman, N., Presto, A. A., Kumar, S. P. N., Gu, J., Hauryliuk, A., Robinson, E. S., Robinson, A. L., and R. Subramanian: A machine learning calibration model using random forests to improve sensor performance for lower-cost air quality monitoring, Atmos. Meas. Tech., 11, 291–313, <ext-link xlink:href="https://doi.org/10.5194/amt-11-291-2018" ext-link-type="DOI">10.5194/amt-11-291-2018</ext-link>, 2018.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Electrochemical sensors on board a Zeppelin NT: in-flight evaluation of low-cost trace gas measurements</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Alphasense: Shielding Toxic Sensors from Electromagnetic Interference, Alphasense Ltd,  Alphasense Application Note, AAN 103, p. 1, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Alphasense: Datasheet: NO2-B43F Nitrogen Dioxide Sensor 4-Electrode, Alphasense Ltd, Technical Specification, 2 pp., 2019a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Alphasense: Datasheet: NO-B4 Nitric Oxide Sensor 4-Electrode, Alphasense Ltd, Technical Specification, 2 pp., 2019b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Alphasense: AAN 803-05 Correcting for background currents in four electrode
toxic gas sensors, Alphasense Ltd, Alphasense Application Note, AAN 803, 16 pp., 2019c.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Alphasense: Datasheet: OX-B431 Oxidising Gas Sensor 4-Electrode; Ozone +
Nitrogen Dioxide, Alphasense Ltd, Technical Specification, 4 pp., 2019d.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Alphasense: Datasheet: CO-B4 Carbon Monoxide Sensor 4-Electrode, Alphasense Ltd, Technical Specification, 2 pp., 2019e.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Alphasense: Datasheet: Individual Sensor Board (ISB) Alphasense B4
4-Electrode Gas Sensors, Alphasense Ltd, Technical Specification, 2 pp., 2019f.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Apte, J. S., Messier, K. P., Gani, S., Brauer, M., Kirchstetter, T. W.,
Lunden, M. M., Marshall, J. D., Portier, C. J., Vermeulen, R. C. H., and
Hamburg, S. P.: High-Resolution Air Pollution Mapping with Google Street
View Cars: Exploiting Big Data, Environ. Sci. Technol., 51, 6999–7008, <a href="https://doi.org/10.1021/acs.est.7b00891" target="_blank">https://doi.org/10.1021/acs.est.7b00891</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Baron, R. and Saffell, J.: Amperometric Gas Sensors as a Low Cost Emerging
Technology Platform for Air Quality Monitoring Applications: A Review, ACS
Sens, 2, 1553–1566, <a href="https://doi.org/10.1021/acssensors.7b00620" target="_blank">https://doi.org/10.1021/acssensors.7b00620</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Bretschneider, L., Schlerf, A., Baum, A., Bohlius, H., Buchholz, M.,
Düsing, S., Ebert, V., Erraji, H., Frost, P., Käthner, R.,
Krüger, T., Lange, A. C., Langner, M., Nowak, A., Pätzold, F.,
Rüdiger, J., Saturno, J., Scholz, H., Schuldt, T., Seldschopf, R.,
Sobotta, A., Tillmann, R., Wehner, B., Wesolek, C., Wolf, K., and Lampert,
A.: MesSBAR–Multicopter and Instrumentation for Air Quality Research,
Atmosphere, 13, 629, <a href="https://doi.org/10.3390/atmos13040629" target="_blank">https://doi.org/10.3390/atmos13040629</a>, 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Bytnerowicz, A., Omasa, K., and Paoletti, E.: Integrated effects of air
pollution and climate change on forests: A northern hemisphere perspective,
Environ. Pollut., 147, 438–445, <a href="https://doi.org/10.1016/j.envpol.2006.08.028" target="_blank">https://doi.org/10.1016/j.envpol.2006.08.028</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Chen, J. and Hoek, G.: Long-term exposure to PM and all-cause and
cause-specific mortality: A systematic review and meta-analysis, Environ. Int., 143, 105974, <a href="https://doi.org/10.1016/j.envint.2020.105974" target="_blank">https://doi.org/10.1016/j.envint.2020.105974</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Cross, E. S., Williams, L. R., Lewis, D. K., Magoon, G. R., Onasch, T. B., Kaminsky, M. L., Worsnop, D. R., and Jayne, J. T.: Use of electrochemical sensors for measurement of air pollution: correcting interference response and validating measurements, Atmos. Meas. Tech., 10, 3575–3588, <a href="https://doi.org/10.5194/amt-10-3575-2017" target="_blank">https://doi.org/10.5194/amt-10-3575-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Dallo, F., Zannoni, D., Gabrieli, J., Cristofanelli, P., Calzolari, F., de Blasi, F., Spolaor, A., Battistel, D., Lodi, R., Cairns, W. R. L., Fjæraa, A. M., Bonasoni, P., and Barbante, C.: Calibration and assessment of electrochemical low-cost sensors in remote alpine harsh environments, Atmos. Meas. Tech., 14, 6005–6021, <a href="https://doi.org/10.5194/amt-14-6005-2021" target="_blank">https://doi.org/10.5194/amt-14-6005-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Gu, Q., Michanowicz, D. R., and Jia, C.: Developing a Modular Unmanned Aerial Vehicle
(UAV) Platform for Air Pollution Profiling, Sensors (Basel), 18, 4363,
<a href="https://doi.org/10.3390/s18124363" target="_blank">https://doi.org/10.3390/s18124363</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Han, P., Mei, H., Liu, D., Zeng, N., Tang, X., Wang, Y., and Pan, Y.:
Calibrations of Low-Cost Air Pollution Monitoring Sensors for CO, NO<sub>2</sub>, O<sub>3</sub>, and SO<sub>2</sub>, Sensors (Basel), 21, 256, <a href="https://doi.org/10.3390/s21010256" target="_blank">https://doi.org/10.3390/s21010256</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Hossain, M., Saffell, J., and Baron, R.: Differentiating NO<sub>2</sub> and O<sub>3</sub> at Low Cost Air Quality Amperometric Gas Sensors, ACS Sensors, 1, 1291–1294,
<a href="https://doi.org/10.1021/acssensors.6b00603" target="_blank">https://doi.org/10.1021/acssensors.6b00603</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Huangfu, P. and Atkinson, R.: Long-term exposure to NO<sub>2</sub> and O<sub>3</sub> and all-cause and respiratory mortality: A systematic review and meta-analysis,
Environ. Int., 144, 105998, <a href="https://doi.org/10.1016/j.envint.2020.105998" target="_blank">https://doi.org/10.1016/j.envint.2020.105998</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Hundt, P. M., Tuzson, B., Aseev, O., Liu, C., Scheidegger, P., Looser, H.,
Kapsalidis, F., Shahmohammadi, M., Faist, J., and Emmenegger, L.:
Multi-species trace gas sensing with dual-wavelength QCLs, Appl. Phys. B-Lasers O., 124, 108, <a href="https://doi.org/10.1007/s00340-018-6977-y" target="_blank">https://doi.org/10.1007/s00340-018-6977-y</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
IPCC: Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Masson-Delmotte, V., Zhai, P., Pirani, A., Connors, S. L., Péan, C., Berger, S., Caud, N., Chen, Y., Goldfarb, L., Gomis, M. I., Huang, M., Leitzell, K., Lonnoy, E., Matthews, J. B. R., Maycock, T. K., Waterfield, T., Yelekçi, O., Yu, R., and Zhou, B., Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, in press, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Kampa, M. and Castanas, E.: Human health effects of air pollution, Environ.
Pollut., 151, 362–367, <a href="https://doi.org/10.1016/j.envpol.2007.06.012" target="_blank">https://doi.org/10.1016/j.envpol.2007.06.012</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Lewis, A. C., Lee, J. D., Edwards, P. M., Shaw, M. D., Evans, M. J., Moller,
S. J., Smith, K. R., Buckley, J. W., Ellis, M., Gillot, S. R., and White,
A.: Evaluating the performance of low cost chemical sensors for air pollution research, Faraday Discuss., 189, 85–103, <a href="https://doi.org/10.1039/c5fd00201j" target="_blank">https://doi.org/10.1039/c5fd00201j</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Liu, C., Tuzson, B., Scheidegger, P., Looser, H., Bereiter, B., Graf, M.,
Hundt, M., Aseev, O., Maas, D., and Emmenegger, L.: Laser driving and data
processing concept for mobile trace gas sensing: Design and implementation,
Rev. Sci. Instrum., 89, 065107, <a href="https://doi.org/10.1063/1.5026546" target="_blank">https://doi.org/10.1063/1.5026546</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Mawrence, R., Munniks, S., and Valente, J.: Calibration of Electrochemical
Sensors for Nitrogen Dioxide Gas Detection Using Unmanned Aerial Vehicles,
Sensors (Basel), 20, 7332, <a href="https://doi.org/10.3390/s20247332" target="_blank">https://doi.org/10.3390/s20247332</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
McLaughlin, S. B.: Effects of Air Pollution on Forests – a Critical Review,
Japca J. Air Waste. Ma., 35, 512–534, <a href="https://doi.org/10.1080/00022470.1985.10465928" target="_blank">https://doi.org/10.1080/00022470.1985.10465928</a>, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Mead, M. I., Popoola, O. A. M., Stewart, G. B., Landshoff, P., Calleja, M.,
Hayes, M., Baldovi, J. J., McLeod, M. W., Hodgson, T. F., Dicks, J., Lewis,
A., Cohen, J., Baron, R., Saffell, J. R., and Jones, R. L.: The use of
electrochemical sensors for monitoring urban air quality in low-cost,
high-density networks, Atmos. Environ., 70, 186–203,
<a href="https://doi.org/10.1016/j.atmosenv.2012.11.060" target="_blank">https://doi.org/10.1016/j.atmosenv.2012.11.060</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Messier, K. P., Chambliss, S. E., Gani, S., Alvarez, R., Brauer, M., Choi,
J. J., Hamburg, S. P., Kerckhoffs, J., Lafranchi, B., Lunden, M. M.,
Marshall, J. D., Portier, C. J., Roy, A., Szpiro, A. A., Vermeulen, R. C.
H., and Apte, J. S.: Mapping Air Pollution with Google Street View Cars:
Efficient Approaches with Mobile Monitoring and Land Use Regression,
Environ. Sci. Technol., 52, 12563–12572, <a href="https://doi.org/10.1021/acs.est.8b03395" target="_blank">https://doi.org/10.1021/acs.est.8b03395</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Mijling, B., Jiang, Q., de Jonge, D., and Bocconi, S.: Field calibration of electrochemical NO2 sensors in a citizen science context, Atmos. Meas. Tech., 11, 1297–1312, <a href="https://doi.org/10.5194/amt-11-1297-2018" target="_blank">https://doi.org/10.5194/amt-11-1297-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Mueller, M., Meyer, J., and Hueglin, C.: Design of an ozone and nitrogen dioxide sensor unit and its long-term operation within a sensor network in the city of Zurich, Atmos. Meas. Tech., 10, 3783–3799, <a href="https://doi.org/10.5194/amt-10-3783-2017" target="_blank">https://doi.org/10.5194/amt-10-3783-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Orellano, P., Reynoso, J., Quaranta, N., Bardach, A., and Ciapponi, A.:
Short-term exposure to particulate matter (PM<sub>10</sub> and PM<sub>2.5</sub>), nitrogen dioxide (NO<sub>2</sub>), and ozone (O<sub>3</sub>) and all-cause and cause-specific mortality: Systematic review and <i>meta</i>-analysis, Environ. Int., 142, 105876, <a href="https://doi.org/10.1016/j.envint.2020.105876" target="_blank">https://doi.org/10.1016/j.envint.2020.105876</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Pang, X., Shaw, M. D., Gillot, S., and Lewis, A. C.: The impacts of water
vapour and co-pollutants on the performance of electrochemical gas sensors
used for air quality monitoring, Sensor. Actuat. B-Chem., 266, 674–684, <a href="https://doi.org/10.1016/j.snb.2018.03.144" target="_blank">https://doi.org/10.1016/j.snb.2018.03.144</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Pang, X., Chen, L., Shi, K., Wu, F., Chen, J., Fang, S., Wang, J., and Xu,
M.: A lightweight low-cost and multipollutant sensor package for aerial
observations of air pollutants in atmospheric boundary layer, Sci. Total
Environ., 764, 142828, <a href="https://doi.org/10.1016/j.scitotenv.2020.142828" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.142828</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Pang, X. B., Shaw, M. D., Lewis, A. C., Carpenter, L. J., and Batchellier,
T.: Electrochemical ozone sensors: A miniaturised alternative for ozone
measurements in laboratory experiments and air-quality monitoring, Sensor.
Actuat. B-Chem., 240, 829–837, <a href="https://doi.org/10.1016/j.snb.2016.09.020" target="_blank">https://doi.org/10.1016/j.snb.2016.09.020</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Pochwala, S., Gardecki, A., Lewandowski, P., Somogyi, V., and Anweiler, S.:
Developing of Low-Cost Air Pollution Sensor-Measurements with the Unmanned
Aerial Vehicles in Poland, Sensors (Basel), 20, 3582,  <a href="https://doi.org/10.3390/s20123582" target="_blank">https://doi.org/10.3390/s20123582</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Popoola, O. A. M., Stewart, G. B., Mead, M. I., and Jones, R. L.:
Development of a baseline-temperature correction methodology for
electrochemical sensors and its implications for long-term stability,
Atmos. Environ., 147, 330–343, <a href="https://doi.org/10.1016/j.atmosenv.2016.10.024" target="_blank">https://doi.org/10.1016/j.atmosenv.2016.10.024</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Popoola, O. A. M., Carruthers, D., Lad, C., Bright, V. B., Mead, M. I.,
Stettler, M. E. J., Saffell, J. R., and Jones, R. L.: Use of networks of low
cost air quality sensors to quantify air quality in urban settings,
Atmos. Environ., 194, 58–70, <a href="https://doi.org/10.1016/j.atmosenv.2018.09.030" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.09.030</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Quah, E. and Boon, T. L.: The economic cost of particulate air pollution on
health in Singapore, Journal of Asian Economics, 14, 73–90,
<a href="https://doi.org/10.1016/S1049-0078(02)00240-3" target="_blank">https://doi.org/10.1016/S1049-0078(02)00240-3</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Rai, A. C., Kumar, P., Pilla, F., Skouloudis, A. N., Di Sabatino, S., Ratti,
C., Yasar, A., and Rickerby, D.: End-user perspective of low-cost sensors
for outdoor air pollution monitoring, Sci. Total Environ., 607–608, 691–705, <a href="https://doi.org/10.1016/j.scitotenv.2017.06.266" target="_blank">https://doi.org/10.1016/j.scitotenv.2017.06.266</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Sahu, R., Nagal, A., Dixit, K. K., Unnibhavi, H., Mantravadi, S., Nair, S., Simmhan, Y., Mishra, B., Zele, R., Sutaria, R., Motghare, V. M., Kar, P., and Tripathi, S. N.: Robust statistical calibration and characterization of portable low-cost air quality monitoring sensors to quantify real-time O<sub>3</sub> and NO<sub>2</sub> concentrations in diverse environments, Atmos. Meas. Tech., 14, 37–52, <a href="https://doi.org/10.5194/amt-14-37-2021" target="_blank">https://doi.org/10.5194/amt-14-37-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Samad, A., Obando Nunez, D. R., Solis Castillo, G. C., Laquai, B., and Vogt,
U.: Effect of Relative Humidity and Air Temperature on the Results Obtained
from Low-Cost Gas Sensors for Ambient Air Quality Measurements, Sensors
(Basel), 20, 5175, <a href="https://doi.org/10.3390/s20185175" target="_blank">https://doi.org/10.3390/s20185175</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Savitzky, A. and Golay, M. J. E.: Smoothing and Differentiation of Data by
Simplified Least Squares Procedures, Anal. Chem., 36, 1627–1639,
<a href="https://doi.org/10.1021/ac60214a047" target="_blank">https://doi.org/10.1021/ac60214a047</a>, 1964.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Schuldt, T., Georgios, I. G., Christian, W., Franz, R., Benjamin, W.,
Thomas, A. J. K., Astrid, K.-S., and Ralf, T.: Replication Data for:
Zeppelin flights 2020: Electrochemical sensors, V1, Jülich DATA [data set], <a href="https://doi.org/10.26165/JUELICH-DATA/6D8B70" target="_blank">https://doi.org/10.26165/JUELICH-DATA/6D8B70</a>, 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Schuyler, T. and Guzman, M.: Unmanned Aerial Systems for Monitoring Trace
Tropospheric Gases, Atmosphere, 8, 206, <a href="https://doi.org/10.3390/atmos8100206" target="_blank">https://doi.org/10.3390/atmos8100206</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Shusterman, A. A., Teige, V. E., Turner, A. J., Newman, C., Kim, J., and Cohen, R. C.: The BErkeley Atmospheric CO<sub>2</sub> Observation Network: initial evaluation, Atmos. Chem. Phys., 16, 13449–13463, <a href="https://doi.org/10.5194/acp-16-13449-2016" target="_blank">https://doi.org/10.5194/acp-16-13449-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Spinelle, L., Gerboles, M., Villani, M. G., Aleixandre, M., and
Bonavitacola, F.: Field calibration of a cluster of low-cost available
sensors for air quality monitoring. Part A: Ozone and nitrogen dioxide,
Sensor. Actuat. B-Chem., 215, 249–257, <a href="https://doi.org/10.1016/j.snb.2015.03.031" target="_blank">https://doi.org/10.1016/j.snb.2015.03.031</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Spinelle, L., Gerboles, M., Villani, M. G., Aleixandre, M., and
Bonavitacola, F.: Field calibration of a cluster of low-cost commercially
available sensors for air quality monitoring. Part B: NO, CO and CO<sub>2</sub>,
Sensor. Actuat. B-Chem., 238, 706–715, <a href="https://doi.org/10.1016/j.snb.2016.07.036" target="_blank">https://doi.org/10.1016/j.snb.2016.07.036</a>,
2017.

</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Stetter, J. R. and Li, J.: Amperometric gas sensors: a review, Chem. Rev.,
108, 352–366, <a href="https://doi.org/10.1021/cr0681039" target="_blank">https://doi.org/10.1021/cr0681039</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Sun, L., Wong, K. C., Wei, P., Ye, S., Huang, H., Yang, F., Westerdahl, D.,
Louie, P. K., Luk, C. W., and Ning, Z.: Development and Application of a
Next Generation Air Sensor Network for the Hong Kong Marathon 2015 Air
Quality Monitoring, Sensors (Basel), 16, 211, <a href="https://doi.org/10.3390/s16020211" target="_blank">https://doi.org/10.3390/s16020211</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Tillmann, R., Gkatzelis, G. I., Rohrer, F., Winter, B., Wesolek, C., Schuldt, T., Lange, A. C., Franke, P., Friese, E., Decker, M., Wegener, R., Hundt, M., Aseev, O., and Kiendler-Scharr, A.: Air quality observations onboard commercial and targeted Zeppelin flights in Germany – a platform for high-resolution trace-gas and aerosol measurements within the planetary boundary layer, Atmos. Meas. Tech., 15, 3827–3842, <a href="https://doi.org/10.5194/amt-15-3827-2022" target="_blank">https://doi.org/10.5194/amt-15-3827-2022</a>, 2022.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Villa, T. F., Salimi, F., Morton, K., Morawska, L., and Gonzalez, F.:
Development and Validation of a UAV Based System for Air Pollution
Measurements, Sensors (Basel), 16, 2202, <a href="https://doi.org/10.3390/s16122202" target="_blank">https://doi.org/10.3390/s16122202</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Von Schneidemesser, E., Driscoll, C., Rieder, H. E., and Schiferl, L. D.:
How will air quality effects on human health, crops and ecosystems change in
the future?, Philos. T. Roy. Soc. A, 378, 20190330, <a href="https://doi.org/10.1098/rsta.2019.0330" target="_blank">https://doi.org/10.1098/rsta.2019.0330</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Wei, P., Ning, Z., Ye, S., Sun, L., Yang, F., Wong, K. C., Westerdahl, D.,
and Louie, P. K. K.: Impact Analysis of Temperature and Humidity Conditions
on Electrochemical Sensor Response in Ambient Air Quality Monitoring,
Sensors (Basel), 18, 59, <a href="https://doi.org/10.3390/s18020059" target="_blank">https://doi.org/10.3390/s18020059</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
WHO: WHO global air quality guidelines: particulate matter (PM2.5 and
PM10), ozone, nitrogen dioxide, sulfur dioxide and carbon monoxide), World
Health Organization, xxi, 273 pp., ISBN&thinsp;978-92-4-003422-8, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
WMO: Low-cost sensors for the measurement of atmospheric composition: overview of topic and future applications, edited by: Lewis, A. C., von Schneidemesser, E., and Peltier, R. E., World Meteorological Organization (WMO), Geneva, WMO-No. 1215, 68 pp., ISBN&thinsp;978-92-63-11215-6, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Zimmerman, N., Presto, A. A., Kumar, S. P. N., Gu, J., Hauryliuk, A., Robinson, E. S., Robinson, A. L., and R. Subramanian: A machine learning calibration model using random forests to improve sensor performance for lower-cost air quality monitoring, Atmos. Meas. Tech., 11, 291–313, <a href="https://doi.org/10.5194/amt-11-291-2018" target="_blank">https://doi.org/10.5194/amt-11-291-2018</a>, 2018.
</mixed-citation></ref-html>--></article>
