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<!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" dtd-version="3.0">
  <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-10-645-2017</article-id><title-group><article-title>A mobile sensor network to map carbon dioxide emissions<?xmltex \hack{\break}?> in urban environments</article-title>
      </title-group><?xmltex \runningtitle{A mobile sensor network to map carbon dioxide emissions}?><?xmltex \runningauthor{J. K. Lee et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lee</surname><given-names>Joseph K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2344-8954</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Christen</surname><given-names>Andreas</given-names></name>
          <email>andreas.christen@ubc.ca</email>
        <ext-link>https://orcid.org/0000-0003-3864-1703</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ketler</surname><given-names>Rick</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Nesic</surname><given-names>Zoran</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geography/Atmospheric Science Program, University of British Columbia, Vancouver, BC, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Biometeorology Group, Faculty of Land and Food Systems, University of British Columbia, Vancouver, BC, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Andreas Christen (andreas.christen@ubc.ca)</corresp></author-notes><pub-date><day>1</day><month>March</month><year>2017</year></pub-date>
      
      <volume>10</volume>
      <issue>2</issue>
      <fpage>645</fpage><lpage>665</lpage>
      <history>
        <date date-type="received"><day>9</day><month>June</month><year>2016</year></date>
           <date date-type="rev-request"><day>20</day><month>June</month><year>2016</year></date>
           <date date-type="rev-recd"><day>26</day><month>January</month><year>2017</year></date>
           <date date-type="accepted"><day>1</day><month>February</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/.html">This article is available from https://amt.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>A method for directly measuring carbon dioxide (CO<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>) emissions using a
mobile sensor network in cities at fine spatial resolution was developed and
tested. First, a compact, mobile system was built using an infrared gas
analyzer combined with open-source hardware to control, georeference, and log
measurements of CO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios on vehicles (car, bicycles). Second, two
measurement campaigns, one in summer and one in winter (heating season) were
carried out. Five mobile sensors were deployed within a <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">12.7</mml:mn></mml:mrow></mml:math></inline-formula> km
transect across the city of Vancouver, BC, Canada. The sensors were operated
for 3.5 h on pre-defined routes to map CO<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> mixing ratios at street level,
which were then averaged to 100 <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m grid cells. The averaged
CO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios of all grids in the study area were 417.9 ppm in summer
and 442.5 ppm in winter. In both campaigns, mixing ratios were highest in
the grid cells of the downtown core and along arterial roads and lowest in
parks and well vegetated residential areas. Third, an aerodynamic resistance
approach to calculating emissions was used to derive CO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions from
the gridded CO<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio measurements in conjunction with mixing
ratios and fluxes collected from a 28 m tall eddy-covariance tower located
within the study area. These measured emissions showed a range of <inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 to
226 CO<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> ha<inline-formula><mml:math id="M11" 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> h<inline-formula><mml:math id="M12" 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> in summer and of <inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14 to
163 kg CO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M15" 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> h<inline-formula><mml:math id="M16" 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> in winter, with an average of
35.1 kg CO<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M18" 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> h<inline-formula><mml:math id="M19" 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> (summer) and
25.9 kg CO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M21" 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> h<inline-formula><mml:math id="M22" 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> (winter). Fourth, an independent
emissions inventory was developed for the study area using buildings energy
simulations from a previous study and routinely available traffic counts. The
emissions inventory for the same area averaged to
22.06 kg CO<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M24" 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> h<inline-formula><mml:math id="M25" 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> (summer) and
28.76 kg CO<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M27" 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> h<inline-formula><mml:math id="M28" 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> (winter) and was used to compare
against the measured emissions from the mobile sensor network. The comparison
on a grid-by-grid basis showed linearity between CO<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios and the
emissions inventory (<inline-formula><mml:math id="M30" 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">0.53</mml:mn></mml:mrow></mml:math></inline-formula> in summer and <inline-formula><mml:math id="M31" 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">0.47</mml:mn></mml:mrow></mml:math></inline-formula> in winter). Also,
87 % (summer) and 94 % (winter) of measured grid cells show a
difference within <inline-formula><mml:math id="M32" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 order of magnitude, and 49 % (summer) and
69 % (winter) show an error of less than a factor 2. Although associated
with considerable errors at the individual grid cell level, the study
demonstrates a promising method of using a network of mobile sensors and an
aerodynamic resistance approach to rapidly map greenhouse gases at high
spatial resolution across cities. The method could be improved by longer
measurements and a refined calculation of the aerodynamic resistance.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Cities and the cumulative processes of urbanization are key drivers of local
and global environmental change <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx15" id="paren.1"/>. As
cities are the centres of increasing population growth and resource
consumption, they are also the dominant source of greenhouse gas emissions –
in particular carbon dioxide (CO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) – into the atmosphere
<xref ref-type="bibr" rid="bib1.bibx38" id="paren.2"/>. On the global scale, urban areas are responsible for
up to 80 % of the total anthropogenic CO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions footprint
<xref ref-type="bibr" rid="bib1.bibx40" id="paren.3"/>. Cities are thus responsible for a major
proportion of the anthropogenic greenhouse gas emissions that are
intensifying positive atmospheric radiative forcing of the troposphere
contributing to global climate change <xref ref-type="bibr" rid="bib1.bibx20" id="paren.4"/>, although a large
fraction of the emissions related to the resource chains that sustain cities
does not occur within the built-up area but rather is emitted elsewhere.</p>
      <p>Within cities, the major sources of CO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are the combustion of fossil fuels
for heating, ventilation, and cooling systems (HVAC), transportation,
industrial processes, and power generation <xref ref-type="bibr" rid="bib1.bibx26" id="paren.5"/>. These
fossil fuel emissions are combined with CO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emitted from biological
sources, namely soil, plant, and human respiration, and in part taken up by
photosynthesis of urban vegetation <xref ref-type="bibr" rid="bib1.bibx7" id="paren.6"/>. Overall, fossil
fuel sources dominate CO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fluxes in cities. The sequestration of CO<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> by
urban vegetation in most cities is very limited <xref ref-type="bibr" rid="bib1.bibx45" id="paren.7"/>.
However, the rate of CO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> uptake by photosynthesis at a given time can be
relevant and is measurable in highly vegetated cities during the daytime in
the growing season <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx48" id="paren.8"/>. The dominance of
fuel emissions results in increased concentrations of CO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the urban
boundary layer (UBL) relative to rural or pristine air
<xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx14 bib1.bibx46" id="paren.9"/>. The enrichment of CO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the
UBL links directly to emissions which are controlled by urban form and
function.</p>
      <p>With more than 50 % of the global population now living in cities
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.10"/>, cities are also the place where effective mitigation
of climate change, driven by policy, design, and bottom-up citizen engagement
is possible. According to <xref ref-type="bibr" rid="bib1.bibx21" id="text.11"/>, the urban scale has the highest
potential for fast, efficient, and sustained implementation of mitigation
efforts. Central to the reduction of urban CO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions is the
availability of reliable emissions information and inventories and methods of
validating city-scale emissions estimates and reduction efforts. While there
are a growing number of methods of quantifying emissions in urban areas,
there are disconnects between the current spatial and temporal resolution of
emissions models, the ever-evolving urban form and function, and block to
neighbourhood-scale measurements which inform and validate emissions models
<xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx25" id="paren.12"/>. It further remains a challenge to
directly measure emissions at fine urban scales and separate CO<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emission
measurements in the urban atmosphere into different fossil fuel emissions and
biological sources <xref ref-type="bibr" rid="bib1.bibx5" id="paren.13"/>.</p>
      <p>The research goal of this study is to develop, apply, and test a new
methodology to map CO<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in complex urban environments. Data from
a network of mobile sensors and an eddy-covariance flux tower combined with
an aerodynamic approach are used to calculate and map emissions at fine
scales (blocks to neighbourhoods) in cities.</p>
      <p>Mobile measurements have been used in the past for studying and mapping the
spatial variability of greenhouse gases in cities
<xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx19 bib1.bibx16 bib1.bibx9" id="paren.14"/>. Because
trace gas analyzer systems for greenhouse gases are still bulky
<xref ref-type="bibr" rid="bib1.bibx42" id="paren.15"><named-content content-type="pre">e.g.</named-content></xref>, past mobile mapping studies utilized specialized
research vehicles <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx11 bib1.bibx9" id="paren.16"/>. While
these vehicles have the advantage that they can be equipped with additional
components such as calibration tanks or computers, the complexity of such
systems does not allow for easy deployment on standard and flexible modes of
transport.</p>
      <p>There is increasing interest to develop innovative methods for monitoring
urban climate and air pollution using low-cost distributed sensor networks.
For example, <xref ref-type="bibr" rid="bib1.bibx30" id="text.17"/> used sensor data from a commercial
consumer-grade weather station network to examine fine-scale urban heat
island effects in the city of Berlin. In another example,
<xref ref-type="bibr" rid="bib1.bibx4" id="text.18"/> developed a road sensor network to monitor road
surface temperatures to optimally salt roads during the winter months in
Birmingham. Given this growing interest in distributed sensing systems and
the advances in the related technologies, could there be new opportunities
for the fine-scale mapping of CO<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in cities? This study
investigates whether it is feasible to map greenhouse gas emissions,
specifically CO<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, at a spatial resolution of neighbourhoods/blocks across
the city with a portable network of mobile sensors that can be routinely
implemented on various mobile platforms. In order to address this question,
four major objectives were pursued.
<list list-type="order"><list-item>
      <p>Sensor development: develop and test a compact, mobile, and multi-modal CO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensor for bicycles and cars.</p></list-item><list-item>
      <p>Measurement campaign: deploy the sensors in a targeted measurement campaign.</p></list-item><list-item>
      <p>Methodology development: calculate emissions from measurements of CO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratios and aerodynamic resistance (in the following called “measured
emissions”).</p></list-item><list-item>
      <p>Analysis and evaluation: compare the measured emissions to fine-scale traffic
and building emissions inventories. Can we find agreement between the spatial patterns in the inventories and measured emissions?</p></list-item></list></p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <?xmltex \opttitle{The mobile measurement system for\hack{\break} carbon dioxide}?><title>The mobile measurement system for<?xmltex \hack{\break}?> carbon dioxide</title>
      <p>A mobile CO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> monitoring system was required to address the project's need
for multiple, low-cost yet accurate sensors capable of measuring mixing
ratios and position at high frequency (<inline-formula><mml:math id="M50" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1 Hz to have an error of
5 m at typical driving speeds) and easily deployable on bicycles and
passenger cars with a compact design. A mobile monitoring system with such
specifications is necessary to cover large geographic areas within limited
timescales at sufficiently fine resolution that are representative of typical
urban emission patterns. With typical vehicle speed and a characteristic
urban street layout/traffic density, one sensor is capable of covering
between 0.5 and 1 km<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M52" 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>. Sensor systems with many of these
specifications do already exist, but few, if any, were designed to be carried
on and easily interface with various types of mobile platforms; all studies
using high accuracy CO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensors
have been either stationary or mounted in specialized vehicles because of the
weight, power consumption,  size,  and high cost of the sensors being used.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <title>System design</title>
      <p>We used a commercially available carbon dioxide infrared analyzer (IRGA)
(Li-820, Licor Inc., Lincoln, NE, USA). The Li-820 is a compact
(23.23 <inline-formula><mml:math id="M54" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 15.25 <inline-formula><mml:math id="M55" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 7.62 cm, 1 kg), low maintenance (approx.
2 years of continuous use), and low noise (<inline-formula><mml:math id="M56" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 ppm) CO<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> analyzer
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.19"/>. The Li-820 uses a single path infrared light to determine
the CO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio within a closed path by detecting the amount of
absorption of the light from the path. The Li-820 was operated with a nominal
sampling rate (data output) of 1 Hz but the actual time constant of the
system was determined to be 3.2 s (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>). The gas
analyzer was coupled with an Arduino microcontroller (Arduino CC, Ivrea,
Italy). The Arduino platform is capable of communicating digitally with the
IRGA, a Global Positioning System (GPS) unit (Adafruit Ultimate GPS Logger
Shield with GPS Module, Manhattan, New York, USA) unit, and a digital
temperature thermometer (Maxim Integrated One Wire Digital Temperature Sensor
– DS18B20, San Jose, CA, USA). A custom hardware board was developed to
connect all of the components together to distribute the correct amount of
power to each of the hardware components and to allow for compact hardware
and sensor input. The portable CO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> system was named the
“Do-It-Yourself-Sensor-CO<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>”, or “<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” system
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>a)</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p><bold>(a)</bold> Photo of the “<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” system (case open)
with components labelled. <bold>(b)</bold> The inlet is mounted through the
passenger window (right side) of the vehicle; the “<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>”
sits in the trunk space.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f01.jpg"/>

          </fig>

      <p>The <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system reports CO<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as mixing ratios (<inline-formula><mml:math id="M66" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) in ppm,
geoposition (latitude/longitude, speed, altitude, and satellite strength),
and internal and external air temperature which are logged onto a micro
secure digital (microSD) card at 1 s intervals. Air is drawn into the
<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system through a 3 m long inlet tube (6.35 mm diameter,
Synflex, polyethylene–aluminum composite, Eaton, Eden Prairie, MN, USA) using a small KNF NMP015
micro-diaphragm pump (KNF Neuberger, Inc., Trenton, NJ, USA), first passing
through a mesh filter at the sample inlet head to prevent large particles
from entering the <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system (e.g. insects) and then through
a Balston disposable filter unit (DFU) (Parker Hannifin Corporation,
Lancaster, NY, USA) at the end of the 3 m tube. The flow rate is regulated
by a Swagelok needle valve at 700 cc min<inline-formula><mml:math id="M69" 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> as recommended by Licor to
minimize the effect of internal cell pressure changes on the CO<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
measurements. The entire <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system is
35.8 cm <inline-formula><mml:math id="M72" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 27.8 cm <inline-formula><mml:math id="M73" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 11.8 cm, weighs 2.6 kg, and is
contained in a weather-proof case (NANUK 910, Plasticase, Terrebonne, CA,
USA). The system is powered by a single 9-18V DC/DC input which can be
supplied by battery or via car cigarette lighter socket.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <title>System testing and installation</title>
      <p>Within the range of typical ambient mixing ratios of CO<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> between 400 and
550 ppm the <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system showed strong linearity (<inline-formula><mml:math id="M76" 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
0.9999) and a root mean square error (RMSE) of 0.233 ppm relative to four different mixing ratios
(six tanks) of reference gases (see
Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/>). The maximum sensor drift over 3 h (the duration
of the campaign, see below) under controlled conditions was in the range of
<inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.31 and <inline-formula><mml:math id="M78" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.51 ppm (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>). In the
configuration used, the <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> had a time lag of 18.2 s between
measurement intake and analysis (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/>).</p>
      <p>Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/> discusses errors associated with mounting the inlet
at different positions on the car which can lead to a systematic bias.
Generally, values on the driver side (centre of road) were higher than the
passenger side. In the current work, the sample inlet tube was run out
through the passenger side window of the vehicle. The sampling line inlet was
70 cm over the vehicle's roof and 2.2 m above the road surface
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). In order to deploy the <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on a
bicycle, the setup requires a 40 L backpack to carry the sensor and a
7 amp-hour, 12 V gel-cell battery and a 1.5 m long rigid mounting tube
(6 mm diameter) to mount the inlet tube above the cyclist. The sensor is
placed in the backpack with the battery and worn on the back of the cyclist
to reduce vibrations to the sensor system.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Measurement campaigns</title>
      <p>The systems were tested in two field campaigns. In each of the campaigns, a
fleet of five sensors was operated simultaneously on pre-defined routes to
evaluate the potential to map emissions and compare them against inventory
data.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <title>Study area</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Map of the study area (thick black outline). Thin black lines refer
to the paths of each of the five <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems. The coloured
areas are the neighbourhoods used in further analysis. The location of the
eddy-covariance tower and the start and end point of all paths are labelled.
The 1.9 <inline-formula><mml:math id="M82" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.9 km box labelled “Sunset study area” refers to the
domain of previous research, including the fine-scale emission inventory
developed by <xref ref-type="bibr" rid="bib1.bibx7" id="text.20"/> and <xref ref-type="bibr" rid="bib1.bibx25" id="text.21"/>.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f02.png"/>

          </fig>

      <p>The study area is a 12.7 km <inline-formula><mml:math id="M83" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 km quadrangle within the city of
Vancouver, BC, which spans from the northern-most tip of the city in forested
“Stanley Park” (49<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>18<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>45.17<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N,
123<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>09<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>29.10<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W, WGS-84) to the city's south eastern
neighbourhood “Victoria – Fraserview” (49<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>12<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>59.00<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N,
123<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>03<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>46.90<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W) (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). It includes
dominant urban land uses – the downtown core, medium density residential,
single detached residential, light industrial development, parks, and forest.
The study area encompasses approximately 11.1 % of the total area of the
city of Vancouver and was selected because of the provision of high-resolution geospatial data, including light detection and ranging (lidar) measurements of urban form used
for building emission simulations in previous research
<xref ref-type="bibr" rid="bib1.bibx44" id="paren.22"/>, the availability of detailed traffic counts, and
the location of a 30 m tall eddy-covariance tower.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Flux tower measurements</title>
      <p>The eddy-covariance flux tower “Vancouver-Sunset” (ID: Ca-VSu,
<xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx10" id="altparen.23"/>) is located near the south east corner
of the study area (49<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>13<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>34.0<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, 123<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>04<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>42.2<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W).
On the flux tower, a CSAT-3 ultrasonic anemometer–thermometer (Campbell
Scientific Inc., Logan, UT, USA) measured continuously sensible heat flux
(<inline-formula><mml:math id="M102" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>), wind direction, and wind velocity. Further, air temperature
(<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was measured with a shielded HMP 45
thermometer/hygrometer (Vaisala Inc., Vanta, Finland). All four radiation
components, including long-wave upwelling radiation (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mo>↑</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>), were
measured by a CNR-1 net radiometer (Kipp &amp; Zonen, Delft, the Netherlands).
Carbon dioxide molar mixing ratios <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were measured near
tower top (28 m) using a tube that pumps air to a TGA200 closed path
analyzer (Campbell Scientific Inc.). In addition, CO<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were
measured by a Licor-7500 open path IRGA (Licor Inc., Lincoln, NE, USA)
co-located with the ultrasonic anemometer–thermometer. The TGA200 was
calibrated every 10 min against three WMO-traceable tanks of known CO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratios to ensure an accuracy of <inline-formula><mml:math id="M108" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.15 ppm. The Licor-7500 is
calibrated twice a year in the lab. Further details of the site location,
instrument exposure, and data processing are discussed in
<xref ref-type="bibr" rid="bib1.bibx10" id="text.24"/>. Measurements on the flux tower made it possible to
link mobile measurements with data from above the city and determine
aerodynamic resistances for the calculation of emissions (see
Sect. <xref ref-type="sec" rid="Ch1.S2.SS3.SSS2"/>)</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <title>Mobile measurements</title>
      <p>Two field campaigns took place, the first on 28 May 2015 (non-heating season,
broadleaf vegetation with leaves emerged) and the second on 18 March 2016
(heating season, before leaf emergence). For simplicity, datasets from the
two dates will be referred to as “summer” (28 May 2015) and “winter”
(18 March 2016). Sampling was conducted from 10:00 to 13:30 LT (Pacific
Time), when vehicular traffic and meteorological conditions are relatively
constant.</p>
      <p>Five <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems were installed on vehicles. Each of the five
vehicles was assigned a route to travel approximately 70 km during the study
period (achieving an optimal sampling density of about
3.5 km<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M111" 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>). Each vehicle started and ended at the southeast
corner of the transect (49<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>13<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>15.08<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N,
123<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>04<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>14.11<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W; Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The routes of the
five systems were drawn such that a majority of the streets and lanes in the
study area would be sampled at least once in the 3.5 h time period, but
ideally sampled at different times throughout the campaign. The routes were
evaluated using an overlaid <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m grid, confirming that nearly
all of the grid cells would be crossed by at least one system if the routes
were successfully completed. Furthermore, a bicycle was used to traverse
trails in the forested area of “Stanley Park” to sample along pathways in
the densely forested ecosystem away from roads.</p>
      <p>Prior to the mobile measurements, all vehicles were parked on the
southeastern corner of Gordon Park, away from major streets in a school
parking lot. The five <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems were operated for a 15 min
warm-up period in their respective vehicles parked next to each other and
then logged for 5 min in order to determine their relative offsets before
the field campaign; this is called the “in situ comparison”. During the
test, all people moved away and 30 m downwind of the vehicles to avoid
contamination from human exhaust and all engines were turned off. After the
3.5 h traverse, all vehicles returned to the starting location, where a
second in situ comparison was performed. The data collected in the in situ
comparison were used to determine offsets and drift of the sensors during the
campaign. The slope of the senors was determined in the lab the day before
each campaign using two reference tanks.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data analysis</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Data post-processing and gridding</title>
      <p>The 1 Hz data from all five <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems were filtered
according to <xref ref-type="bibr" rid="bib1.bibx9" id="text.25"/>, so that all data were removed when the
GPS recorded speeds were below 5 km h<inline-formula><mml:math id="M121" 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> (to avoid self contamination
by vehicle exhaust when idling). Data were also removed where the IRGA cell
temperature and pressure were below 45 <inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 96 kPa, to measure
within the specifications and calibration of the Li-820.</p>
      <p>Vector matrix grids of 50 <inline-formula><mml:math id="M123" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 50 m, 100 <inline-formula><mml:math id="M124" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m,
200 <inline-formula><mml:math id="M125" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 200 m, and 400 <inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 400 m were mapped onto the study
area in a Geographic Information System to spatially aggregate and attribute
the <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured by the <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems to
square grid cells. The separate data analysis for the 50, 100, 200, and
400 m grids provided a way to determine the effects of grid size on
emissions estimates. In the results section, the 100 m grid is selected
because the 100 m grid cell size was determined to be significantly large
enough to avoid most micro-scale horizontal advection of emissions while also
still attributing emissions at a traceable scale to individual arterial roads
and features. Appendix <xref ref-type="sec" rid="App1.Ch1.S3"/> explores the effect of using
different grid sizes by comparing the results from the 100 m grid to the 50,
200, and 400 m grids.</p>
      <p>For each cell, the summary statistics were computed for all valid data points
intersecting it. The summary statistics included the mean, median, maximum,
minimum, range, skewness, and variance. The gridded data were also classified
by neighbourhood (Fig. <xref ref-type="fig" rid="Ch1.F2"/>) to enable comparisons of
<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for areas of different urban form and density. Only
grid cells with actual measurements were retained for the analysis. All of
the grid cells that did not fall “completely within” the boundaries of the
study area were withheld from the analysis.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Emission calculation and comparison</title>
      <p>Data from the eddy-covariance tower are used in conjunction with the gridded
averages of <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to calculate emissions for each grid cell
based on the aerodynamic resistance approach, which posits that the molar
flux of CO<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for a given area and time (<inline-formula><mml:math id="M132" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>
in <inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol m<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<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>) is equal to the difference of the molar
concentration <inline-formula><mml:math id="M136" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> (in <inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol m<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at the height above the
roughness sublayer (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and screen level at 2 m height
(<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) divided by the aerodynamic resistance of CO<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (in
s m<inline-formula><mml:math id="M142" 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>):
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M143" display="block"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aC</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            While both <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are available
through the measurement of <inline-formula><mml:math id="M146" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> and density (considering pressure and air
temperature), the challenge is that <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> cannot be directly and
easily measured due to the spatial heterogeneity of <inline-formula><mml:math id="M148" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Hence, to make the approach more
robust, it uses the availability of sensible heat flux <inline-formula><mml:math id="M150" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> (W m<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), air
temperature at 24 m height (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and surface brightness
temperatures (<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). This is possible because a city is a relatively
homogeneous source of sensible heat and temperatures are more uniform than
CO<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fluxes and mixing ratios. From the tower measurements of air
temperature (<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and surface brightness temperature we then
calculate the aerodynamic resistance of sensible heat <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx24" id="paren.26"/>. <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the integral resistance from the
surface (ground, roofs) to the top of the tower.
              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M158" display="block"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi>H</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the air temperature (K) at the height of the
tower (24 m), <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the surface brightness temperature (in K,
calculated as <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mo>↓</mml:mo></mml:msub><mml:mo>/</mml:mo><mml:mi mathvariant="italic">σ</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) from the long-wave
radiometer, where <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is
the Stefan–Boltzmann constant), and <inline-formula><mml:math id="M165" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> is the sensible heat flux
(W m<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) measured by eddy covariance.</p>
      <p>In a next step we assume Reynolds analogy <xref ref-type="bibr" rid="bib1.bibx1" id="paren.27"/> between heat and
passive scalar transfer, i.e. that the aerodynamic resistance of sensible
heat is equal to the aerodynamic resistance of carbon dioxide (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)
and rewrite Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>).</p>
      <p>In order to convert the molar flux <inline-formula><mml:math id="M168" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (in
<inline-formula><mml:math id="M169" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol m<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M171" 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>) to a mass flux <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> consistent with
inventories (in kg CO<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M174" 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> h<inline-formula><mml:math id="M175" 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>), we rewrite
              <disp-formula id="Ch1.E3" content-type="numbered"><mml:math id="M176" display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>b</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>b</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>b</mml:mi><mml:mi>o</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>b</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the molar mass of CO<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (44.01 g mol<inline-formula><mml:math id="M179" 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>), <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a
factor for converting m<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to ha<inline-formula><mml:math id="M182" 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> (i.e. <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> ha<inline-formula><mml:math id="M185" 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>), <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a factor for converting s<inline-formula><mml:math id="M187" 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> to
h<inline-formula><mml:math id="M188" 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> (i.e. <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3600</mml:mn></mml:mrow></mml:math></inline-formula> s h<inline-formula><mml:math id="M190" 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>), <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the factor for converting
<inline-formula><mml:math id="M192" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol to mol (i.e. <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M194" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol <inline-formula><mml:math id="M195" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>mol<inline-formula><mml:math id="M196" 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>), and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the factor for
converting g to kg (i.e. <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> kg g<inline-formula><mml:math id="M199" 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>).</p>
      <p>Equation (<xref ref-type="disp-formula" rid="Ch1.E3"/>) was applied to each grid cell, where
<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> varied for each grid cell and each time while
<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> varied only over time. The calculated
emissions <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are then compared to independent gridded building and traffic
emissions estimates to test the feasibility and accuracy of the method (the
derivation of the independent emissions inventories is documented in
Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>).</p>
      <p>In summary, this procedure to calculate emissions from mobile and tower
measurements is only valid under the following key assumptions:
<list list-type="order"><list-item>
      <p>CO<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the well-mixed UBL (the tower location) at daytime
will not change dramatically over a short time period or space (e.g. over
30 min time periods are long enough where urban fluxes are well represented)
given the same meteorological conditions and are therefore in an equilibrium.
In other words, the measurements of <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are representative
of the UBL above each grid cell at any time.</p></list-item><list-item>
      <p>The flux at the height of the tower is directly related to the flux at the
surface; hence concentration changes over time in the layer between surface
and tower are negligible at day (i.e. no storage flux). This assumption is
supported by a previous study in which no storage flux was observed during
daytime for this particular site <xref ref-type="bibr" rid="bib1.bibx9" id="paren.28"/>. However, this
assumption is severely violated at night and in the early to mid morning
<xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx2" id="paren.29"/>, so the proposed approach does only
work midday or afternoon.</p></list-item><list-item>
      <p>Reynolds analogy applies to <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aC</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and therefore
<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is constant across all the urban densities/local climate zones
(LCZs) in the study area/city. Despite the fact that there are varying urban
densities throughout a city, the idea is that the resistance will not change
significantly.</p></list-item><list-item>
      <p>Lateral advection of CO<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>  between the surface and the height of the
tower between grid cells is negligible or, at least,
adds random (unbiased) noise.</p></list-item></list></p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Field campaign</title>
      <p>Weather conditions on both dates were cloudless, convective, and steady.
Table <xref ref-type="table" rid="Ch1.T1"/> summarizes the weather and environmental conditions
for the two campaigns.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Raw data points</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Cumulative frequency distribution for raw 1 s <inline-formula><mml:math id="M210" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> measured by all
five mobile systems in the summer (red) and winter (blue) campaign. The thin
vertical lines correspond to the average <inline-formula><mml:math id="M211" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> on top of the tower during the
period of the campaign. The coloured numbers on the horizontal lines refer to
the 25, 50, and 75 % percentiles for summer (red) and winter (blue).</p></caption>
            <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f03.png"/>

          </fig>

      <p>A total of 41 027 1 Hz measurements were available in summer and 42 786
measurements in winter from the 5 <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems during a
3.5 h window after filtering. Figure <xref ref-type="fig" rid="Ch1.F3"/> shows the
frequency distribution of the filtered 1 Hz <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured
by all five <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems alongside the mixing ratio on the
tower (<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
      <p>In summer, the measured 1 Hz <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 380.2 to
918.1 ppm with a median and average <inline-formula><mml:math id="M217" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> of 408.5 and 419.5 ppm (SD
32.35 ppm), respectively, for the entire dataset. The lowest
<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M219" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 400 ppm) was measured in the forest at “Stanley
Park”, in select well-vegetated residential streets, and in a large
cemetery. The highest values (<inline-formula><mml:math id="M220" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 800 ppm) were measured in “Downtown”
and along the major transport corridors such as “Knight St.”
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>) and “West Georgia St.” (Highway 99). In
winter, overall <inline-formula><mml:math id="M221" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> was higher for both tower and mobile system. In winter,
the measured 1 Hz <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 401.4 to 918.5 ppm with
a median and average <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of 432.7 and 443.9 ppm (SD
34.77 ppm).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Summary of weather conditions during the two campaigns (from 09:00
to 13:00 PST) measured on top of the urban climate tower
“Vancouver-Sunset” (Ca-VSu) located within the study transect.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Summer</oasis:entry>  
         <oasis:entry colname="col3">Winter</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">28 May 2015</oasis:entry>  
         <oasis:entry colname="col3">18 March 2016</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Surface temperature</oasis:entry>  
         <oasis:entry colname="col2">31.0 <inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C</oasis:entry>  
         <oasis:entry colname="col3">15.2 <inline-formula><mml:math id="M225" 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 (26.0 m)</oasis:entry>  
         <oasis:entry colname="col2">71.5 %</oasis:entry>  
         <oasis:entry colname="col3">36.2 %</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Solar irradiance (26.2 m)</oasis:entry>  
         <oasis:entry colname="col2">817 W m<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">475 W m<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Net radiation (26.2 m)</oasis:entry>  
         <oasis:entry colname="col2">680 W m<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">323 W m<inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sensible heat flux (28.8 m)</oasis:entry>  
         <oasis:entry colname="col2">390 W m<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">120 W m<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Wind speed (28.8 m)</oasis:entry>  
         <oasis:entry colname="col2">2.6 m s<inline-formula><mml:math id="M232" 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></oasis:entry>  
         <oasis:entry colname="col3">1.9 m s<inline-formula><mml:math id="M233" 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></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Wind direction (28.8 m)</oasis:entry>  
         <oasis:entry colname="col2">237<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">70<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">CO<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio (28.8 m)</oasis:entry>  
         <oasis:entry colname="col2">396.6 ppm</oasis:entry>  
         <oasis:entry colname="col3">420.2 ppm</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>During the summer and winter campaigns, 2 % and 16 % of the measured <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were lower
than the tower (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and 3 % and 7 % were higher than 500 ppm, respectively.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Grid sample counts</title>
      <p>For the 100 <inline-formula><mml:math id="M239" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m grid cells that could be traversed, in summer
91.31 % of the grid cells contained more than 10 samples per grid cell (1
sample equals one 1 Hz measurement), 69.24 % of cells contained more
than 20 samples, and 28.32 % of cell contained more than 50 samples. At
the average vehicle speed of 20 km h<inline-formula><mml:math id="M240" 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>, this corresponds to a typical
spatial spacing of 5.5 m. For the winter campaign, 90.85 % of the grid
cells contained more than 10 samples, 72.64 % contained more than 20
samples, and 27.36 % contained more than 50 samples. Grid cells with less
than 10 samples were removed from further analysis, which resulted in
30.8 % of all cells being removed in the summer campaign and 27.4 %
in the winter campaign. Generally, grid cells along major roads tended to
have more sample counts because they were traversed at different times, often
by different vehicles.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Three-dimensional visualization of all raw <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements from
all systems (summer campaign) in the “Sunset/Victoria-Fraserview”
neighbourhood. The visualization is illustrating the high density of
measurements taken along streets, laneways, and in parks. The linear area
with many higher mixing ratios is the busy six-lane “Knight St.” with
<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> 000 vehicles per day. Image visualized in Google Earth.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f04.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <title>Grid-averaged statistics</title>
      <p>Of the 1332 grid cells that could be traversed by a car or bicycle, the case
study covered 1024 in summer and 1037 in winter, of which 821 and 856 were
further used (based on the condition of more than 10 samples). The maps of
gridded <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the summer and winter campaign are shown in
Fig. <xref ref-type="fig" rid="Ch1.F5"/>. Table <xref ref-type="table" rid="Ch1.T2"/> summarizes
the measured mixing ratios separated by neighbourhood. In summer, the grid-averaged <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of all valid grid cells in the entire transect
ranged between 393.1 and 518.0 ppm, averaging 417.9 ppm, and had a median of
410.0 ppm. In winter, the grid-averaged <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranged between
408.4 and 560.5 ppm, averaging 442.5 ppm. Three percent of all grid cells in
summer and 8 % in winter  showed a <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> that was
lower than <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; the majority of those cases were located in
the forested “Stanley Park” in both campaigns
(Table <xref ref-type="table" rid="Ch1.T2"/>). Selected cells in the residential parts of
“Riley Park/Kensington – Cedar Cottage” neighbourhood  also showed a
<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> that was lower than <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Grid-averaged mixing ratios (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), standard
deviation of all grid cell means in the neighbourhood, and fraction of cells
with <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> per neighbourhood.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.87}[.87]?><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Neighbourhood</oasis:entry>  
         <oasis:entry colname="col2">LCZ<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col3" nameend="col4" align="center" colsep="1">Mean mixing ratio </oasis:entry>  
         <oasis:entry namest="col5" nameend="col6" align="center" colsep="1">SD of <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col7" nameend="col8" align="center" colsep="1">Fraction of cells </oasis:entry>  
         <oasis:entry namest="col9" nameend="col10" align="center">Number of </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry namest="col3" nameend="col4" align="center" colsep="1"><inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (ppm) </oasis:entry>  
         <oasis:entry namest="col5" nameend="col6" align="center" colsep="1">(ppm) </oasis:entry>  
         <oasis:entry namest="col7" nameend="col8" align="center" colsep="1">with <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry namest="col9" nameend="col10" align="center">grid cells </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Summer</oasis:entry>  
         <oasis:entry colname="col4">Winter</oasis:entry>  
         <oasis:entry colname="col5">Summer</oasis:entry>  
         <oasis:entry colname="col6">Winter</oasis:entry>  
         <oasis:entry colname="col7">Summer</oasis:entry>  
         <oasis:entry colname="col8">Winter</oasis:entry>  
         <oasis:entry colname="col9">Summer</oasis:entry>  
         <oasis:entry colname="col10">Winter</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Stanley Park</oasis:entry>  
         <oasis:entry colname="col2">Dense trees</oasis:entry>  
         <oasis:entry colname="col3">413.7</oasis:entry>  
         <oasis:entry colname="col4">435.6</oasis:entry>  
         <oasis:entry colname="col5">19.1</oasis:entry>  
         <oasis:entry colname="col6">24.3</oasis:entry>  
         <oasis:entry colname="col7">4 %</oasis:entry>  
         <oasis:entry colname="col8">28 %</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">78</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">86</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">West End</oasis:entry>  
         <oasis:entry colname="col2">Compact high-rise</oasis:entry>  
         <oasis:entry colname="col3">416.1</oasis:entry>  
         <oasis:entry colname="col4">442.7</oasis:entry>  
         <oasis:entry colname="col5">15.1</oasis:entry>  
         <oasis:entry colname="col6">15.9</oasis:entry>  
         <oasis:entry colname="col7">1 %</oasis:entry>  
         <oasis:entry colname="col8">4 %</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">102</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">111</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Downtown</oasis:entry>  
         <oasis:entry colname="col2">Compact high-rise</oasis:entry>  
         <oasis:entry colname="col3">437.8</oasis:entry>  
         <oasis:entry colname="col4">474.9</oasis:entry>  
         <oasis:entry colname="col5">19.2</oasis:entry>  
         <oasis:entry colname="col6">26.5</oasis:entry>  
         <oasis:entry colname="col7">0 %</oasis:entry>  
         <oasis:entry colname="col8">0 %</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">117</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">115</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fairview/Mount Pleasant</oasis:entry>  
         <oasis:entry colname="col2">Open low-rise &amp; large low-rise</oasis:entry>  
         <oasis:entry colname="col3">421.2</oasis:entry>  
         <oasis:entry colname="col4">446.2</oasis:entry>  
         <oasis:entry colname="col5">19.0</oasis:entry>  
         <oasis:entry colname="col6">17.6</oasis:entry>  
         <oasis:entry colname="col7">0 %</oasis:entry>  
         <oasis:entry colname="col8">0 %</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">136</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">144</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kensington-C. C./Riley Park</oasis:entry>  
         <oasis:entry colname="col2">Open low-rise</oasis:entry>  
         <oasis:entry colname="col3">411.0</oasis:entry>  
         <oasis:entry colname="col4">432.3</oasis:entry>  
         <oasis:entry colname="col5">13.5</oasis:entry>  
         <oasis:entry colname="col6">15.1</oasis:entry>  
         <oasis:entry colname="col7">1 %</oasis:entry>  
         <oasis:entry colname="col8">11 %</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">225</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">245</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sunset/Victoria-Fraserview</oasis:entry>  
         <oasis:entry colname="col2">Open low-rise</oasis:entry>  
         <oasis:entry colname="col3">413.3</oasis:entry>  
         <oasis:entry colname="col4">434.7</oasis:entry>  
         <oasis:entry colname="col5">14.2</oasis:entry>  
         <oasis:entry colname="col6">16.0</oasis:entry>  
         <oasis:entry colname="col7">0 %</oasis:entry>  
         <oasis:entry colname="col8">8 %</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">163</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col10"><inline-formula><mml:math id="M268" 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></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.87}[.87]?><table-wrap-foot><p><inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> LCZ refers to the dominant local
climate zones in the neighbourhood according to <xref ref-type="bibr" rid="bib1.bibx41" id="text.30"/>.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>Both campaigns showed considerable variation of <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> between
grid cells in the same neighbourhoods. Overall, the grid cells covering major
arterial roads and downtown core showed the highest maximum, minimum, median,
and mean <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Conversely, the grid cells covering
residential streets and forested trails exhibited the lowest
<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the same statistics. Of all neighbourhoods,
“Kensington-Cedar Cottage/Riley Park” exhibited the lowest and
“Downtown” the highest average <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in both campaigns
(Table <xref ref-type="table" rid="Ch1.T2"/>).</p>
      <p>Similarly, standard deviations within each 100 m grid cell (not shown) are
highest along the major arterial roads and in “Downtown”. In contrast, the
residential areas have lower standard deviations within grid cells, indicating
less variability in <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for less busy roads. The trends are
similar in the winter campaign except that there is overall higher standard
deviation in the residential areas compared to the summer campaign. Over
65.98 % of the cells in summer and 66.80 % in winter had a positive
skewness which means there are intra-grid peaks in measured CO<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> mixing
ratios.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Map of grid-averaged 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> mixing ratios (<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
for <bold>(a)</bold> summer and <bold>(b)</bold> winter campaign using the same
scale. The grid size is 100 <inline-formula><mml:math id="M277" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f05.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <title>Measured emissions</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Measured emissions (calculated from mixing ratios using the
aerodynamic resistance approach in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>)
for <bold>(a)</bold> summer and <bold>(b)</bold> winter campaign at a resolution of
100 <inline-formula><mml:math id="M278" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f06.png"/>

          </fig>

      <p>The aerodynamic resistance <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for each measurement campaign was
calculated by averaging <inline-formula><mml:math id="M280" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula>, averaging <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and averaging
<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over the 3.5 h of the field campaign. The resulting
<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was 34.14 s m<inline-formula><mml:math id="M284" 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> in summer and 56.12 s m<inline-formula><mml:math id="M285" 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> in
winter.</p>
      <p>The measured CO<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions calculated using
Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) showed a range of
<inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.0 kg CO<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M289" 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> h<inline-formula><mml:math id="M290" 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> (net uptake) to
225.6 kg CO<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M292" 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> h<inline-formula><mml:math id="M293" 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> in the summer campaign and <inline-formula><mml:math id="M294" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.7 to
162.4 kg CO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M296" 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> h<inline-formula><mml:math id="M297" 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> in winter. The median and average
emissions were, respectively, 20.1 and 35.0 kg CO<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M299" 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> h<inline-formula><mml:math id="M300" 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 the summer campaign and 17.1 and 25.6 kg CO<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M302" 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> h<inline-formula><mml:math id="M303" 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 the winter campaign. Highest emissions in general were located in
“Downtown” and along the major transport corridors and intersections
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>,
Table <xref ref-type="table" rid="Ch1.T3"/>).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Comparison to emissions inventory</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Characteristics of emissions inventories</title>
      <p>The gridded traffic emissions inventory at 100 <inline-formula><mml:math id="M304" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m resolution
(see Appendix <xref ref-type="sec" rid="App1.Ch1.S2.SS1"/> and
Fig. <xref ref-type="fig" rid="Ch1.F7"/>a) showed median and mean emissions, respectively, of
2.37 and 12.50 kg CO<inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M306" 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> h<inline-formula><mml:math id="M307" 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 the summer campaign and
2.17 and 12.19 kg CO<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M309" 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> h<inline-formula><mml:math id="M310" 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 the winter campaign. As
expected, the major roads and the areas with the densest road network (e.g.
“Downtown”) exhibited the highest emissions, all of which were greater than
18 kg CO<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M312" 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> h<inline-formula><mml:math id="M313" 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>. The greatest traffic emissions in a
single grid cell was 123.60 kg CO<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M315" 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> h<inline-formula><mml:math id="M316" 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>.</p>
      <p>The building emissions inventory (see
Appendix <xref ref-type="sec" rid="App1.Ch1.S2.SS2"/>) is shown in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>b. In summer, the data for the 100 m grid showed a
median and mean of 6.69 and 10.19 kg CO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M318" 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> h<inline-formula><mml:math id="M319" 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>,
respectively. In winter, the data for the 100 m grid showed a higher median
and a higher mean of 13.08 and 20.44 kg CO<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M321" 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> h<inline-formula><mml:math id="M322" 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>,
respectively. The maximum rate of building emissions was located in
“Downtown”. The building emissions inventory only covers a subset of the
transect area (Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). Data for part of “West End” and
for “Stanley Park” are not available.</p>
      <p>The total emissions inventory is the sum of the building and traffic
emissions estimates (Fig. <xref ref-type="fig" rid="Ch1.F7"/>c). For the summer campaign, the
median and mean of the total emissions estimates were 10.15 and
22.06 kg CO<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M324" 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> h<inline-formula><mml:math id="M325" 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>, respectively. Overall, for the area
with both inventories available, 59 % of the emissions were estimated
from traffic and 41 % from buildings. For the winter campaign, the total
emissions estimates were 15.87 and 28.76 kg CO<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M327" 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> h<inline-formula><mml:math id="M328" 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>,
respectively, and 41 % of the emissions were estimated from traffic and
59 % from buildings. The fraction of traffic emissions is higher in the
detached residential areas (LCZ 6 and 8) and lower in “Downtown”
(Table <xref ref-type="table" rid="Ch1.T3"/>).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Comparison of  measured emissions, with inventory emissions, separated by neighbourhood based on a 100 <inline-formula><mml:math id="M329" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m grid.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Neighbourhood</oasis:entry>  
         <oasis:entry colname="col2">Measured</oasis:entry>  
         <oasis:entry colname="col3">Emission</oasis:entry>  
         <oasis:entry colname="col4">Relative</oasis:entry>  
         <oasis:entry colname="col5">Mean absolute</oasis:entry>  
         <oasis:entry colname="col6">Fraction</oasis:entry>  
         <oasis:entry colname="col7">Grid</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">emissions</oasis:entry>  
         <oasis:entry colname="col3">inventory</oasis:entry>  
         <oasis:entry colname="col4">error</oasis:entry>  
         <oasis:entry colname="col5">error</oasis:entry>  
         <oasis:entry colname="col6">of traffic</oasis:entry>  
         <oasis:entry colname="col7">cells</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(kg CO<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">(kg CO<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">(kg CO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">ha<inline-formula><mml:math id="M333" 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> h<inline-formula><mml:math id="M334" 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>)</oasis:entry>  
         <oasis:entry colname="col3">ha<inline-formula><mml:math id="M335" 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> h<inline-formula><mml:math id="M336" 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></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">ha<inline-formula><mml:math id="M337" 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> h<inline-formula><mml:math id="M338" 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>)</oasis:entry>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Summer</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">West End</oasis:entry>  
         <oasis:entry colname="col2">47.6</oasis:entry>  
         <oasis:entry colname="col3">30.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M339" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>56 %</oasis:entry>  
         <oasis:entry colname="col5">29.3</oasis:entry>  
         <oasis:entry colname="col6">34 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Downtown</oasis:entry>  
         <oasis:entry colname="col2">75.1</oasis:entry>  
         <oasis:entry colname="col3">63.3</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M341" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>19 %</oasis:entry>  
         <oasis:entry colname="col5">28.9</oasis:entry>  
         <oasis:entry colname="col6">54 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fairview/Mount Pleasant</oasis:entry>  
         <oasis:entry colname="col2">41.4</oasis:entry>  
         <oasis:entry colname="col3">27.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M343" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>51 %</oasis:entry>  
         <oasis:entry colname="col5">19.7</oasis:entry>  
         <oasis:entry colname="col6">70 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">136</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kensington-C. C./Riley Park</oasis:entry>  
         <oasis:entry colname="col2">21.9</oasis:entry>  
         <oasis:entry colname="col3">14.5</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M345" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>51 %</oasis:entry>  
         <oasis:entry colname="col5">10.9</oasis:entry>  
         <oasis:entry colname="col6">60 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">225</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Sunset/Victoria-Fraserview</oasis:entry>  
         <oasis:entry colname="col2">26.5</oasis:entry>  
         <oasis:entry colname="col3">13.3</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M347" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>99 %</oasis:entry>  
         <oasis:entry colname="col5">15.3</oasis:entry>  
         <oasis:entry colname="col6">73 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">162</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Winter</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">West End</oasis:entry>  
         <oasis:entry colname="col2">30.1</oasis:entry>  
         <oasis:entry colname="col3">43.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M349" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31 %</oasis:entry>  
         <oasis:entry colname="col5">24.8</oasis:entry>  
         <oasis:entry colname="col6">22 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Downtown</oasis:entry>  
         <oasis:entry colname="col2">65.3</oasis:entry>  
         <oasis:entry colname="col3">92.1</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M351" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 %</oasis:entry>  
         <oasis:entry colname="col5">41.6</oasis:entry>  
         <oasis:entry colname="col6">35 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">92</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Fairview/Mount Pleasant</oasis:entry>  
         <oasis:entry colname="col2">30.3</oasis:entry>  
         <oasis:entry colname="col3">34.7</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M353" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13 %</oasis:entry>  
         <oasis:entry colname="col5">14.6</oasis:entry>  
         <oasis:entry colname="col6">52 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">142</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kensington-C. C./Riley Park</oasis:entry>  
         <oasis:entry colname="col2">14.0</oasis:entry>  
         <oasis:entry colname="col3">19.4</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M355" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28 %</oasis:entry>  
         <oasis:entry colname="col5">10.1</oasis:entry>  
         <oasis:entry colname="col6">40 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">244</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Sunset/Victoria-Fraserview</oasis:entry>  
         <oasis:entry colname="col2">16.8</oasis:entry>  
         <oasis:entry colname="col3">17.1</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M357" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 %</oasis:entry>  
         <oasis:entry colname="col5">12.4</oasis:entry>  
         <oasis:entry colname="col6">56 %</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M358" 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></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Emission inventory for <bold>(a)</bold> traffic emissions,
<bold>(b)</bold> local building sector emissions, and <bold>(c)</bold> total
(traffic <inline-formula><mml:math id="M359" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> buildings) emissions for the time of the winter campaign. The
equivalent emission inventory for the summer date (not shown) does not look
significantly different, but it has overall lower building emissions. Note that
the building inventory, available from a previous study, did not extend into
the northern part of the transect (label “no data”) due to lack of
high-resolution lidar data in this part of the city.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Mixing ratios vs. emissions inventory</title>
      <p>First, measured <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was compared to the emissions
estimates to identify if there is a direct relationship between measured
mixing ratios and hourly emissions estimates from the emissions inventory. It
is observed that as emissions in the inventory increase, the range of the
measured <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> becomes greater. The relationship between
measured <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and traffic shows generally a linear
correlation (Fig. <xref ref-type="fig" rid="Ch1.F8"/>a and b). Further, measured
<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and building emissions are also positively correlated,
but with more scatter (Fig. <xref ref-type="fig" rid="Ch1.F8"/>c and d). Best agreement is
archived when comparing <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the total (i.e.
traffic <inline-formula><mml:math id="M365" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> building) emissions (Fig. <xref ref-type="fig" rid="Ch1.F8"/>e and f). The
linear equations given in Fig. <xref ref-type="fig" rid="Ch1.F8"/>e show <inline-formula><mml:math id="M366" 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">0.53</mml:mn></mml:mrow></mml:math></inline-formula> in summer
and <inline-formula><mml:math id="M367" 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">0.47</mml:mn></mml:mrow></mml:math></inline-formula> in winter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p><bold>(a, c, e)</bold> Comparison of inventory (traffic only, building
emissions only, and total emissions) against grid-averaged mixing ratios
(<inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), where each dot is a 100 <inline-formula><mml:math id="M369" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m grid cell.
Note that the <inline-formula><mml:math id="M370" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis is logarithmic. The curves in <bold>(e)</bold> are linear
fits. <bold>(b, d, f)</bold> Comparison of inventory (traffic only, building
emissions only, and total emissions) to the difference between grid-averaged
mixing ratio <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the mixing ratio measured at the
tower.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Measured emissions vs. emissions inventory</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p>Comparison of inventory emissions and measured emissions on a
grid-by-grid basis plotted with double logarithmic axes. The black line is
the 1 : 1 curve and the grey area shows data within 1 order of magnitude
of each other. Grid cells with less than 0.1 kg CO<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M373" 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> h<inline-formula><mml:math id="M374" 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>
in the emission inventory and/or measured emissions are not shown. <inline-formula><mml:math id="M375" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> refers
to the number of grid cells included in the comparison.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://amt.copernicus.org/articles/10/645/2017/amt-10-645-2017-f09.png"/>

          </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F9"/>a and b show the measured emissions as a function
of the traffic emissions inventory. The data show that 86.71 % of the
measured emissions are within a factor of <inline-formula><mml:math id="M376" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 of the traffic emissions
estimates for 100 m grids for the summer campaign (grey shaded area in
Fig. <xref ref-type="fig" rid="Ch1.F9"/>). For the winter campaign, 93.74 % of the
measured emissions are within a factor of <inline-formula><mml:math id="M377" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 of the traffic emissions
estimates for 100 m grids. In particular in areas with lower traffic
emissions and where the urban density is lower (e.g.
“Sunset/Victoria-Fraserview”) the measurements are higher than the emission
inventory (note that building emissions are not considered in
Fig. <xref ref-type="fig" rid="Ch1.F9"/>a and b). The measured emissions and the traffic
emissions inventory were found to be correlated positively by 77.87 % for
the 100 m grid in the summer campaign and 71.75 % in the winter
campaign.</p>
      <p>In Fig. <xref ref-type="fig" rid="Ch1.F9"/>c and d measured emissions and the building
emissions inventories are compared for each grid cell. Building emissions are
clustered by neighbourhood, with the lowest urban density (LCZ 6) of
“Sunset/Victoria-Fraserview” exhibiting the lowest emissions and
the highest urban density (LCZ 1) of “Downtown” exhibiting the highest
building emissions. Across all neighbourhoods, the measured emissions are
higher than the building emissions only (note that traffic emissions are not
considered in Fig. <xref ref-type="fig" rid="Ch1.F9"/>c and d). The measured emissions and
the building emissions estimates were found to be correlated positively by
35.91 % for the 100 m grid in the summer campaign and 32.42 % in the
winter campaign.</p>
      <p>Lastly, Fig. <xref ref-type="fig" rid="Ch1.F9"/>c shows the measured emissions as a
function of the total emissions (building <inline-formula><mml:math id="M378" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> traffic) inventory. For the
summer campaign the data show that 86.71 % of the measured emissions are
within a factor of <inline-formula><mml:math id="M379" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 of the total emissions estimates
for the 100 m grid. The measured
emissions and the total emissions inventory were found to be correlated
positively by 77.87 % for the 100 m grid. For the winter campaign, the
data show that 92.58 % of the measured emissions are within a factor of
<inline-formula><mml:math id="M380" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 of the total emissions estimates for 100 m grid. The measured
emissions and the total emissions inventory were found to be correlated
positively by 71.75 % for the 100 m grid.</p>
      <p>Across all valid grid cells in the study area, the measured emissions in
summer averaged to 35.11 kg CO<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M382" 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> h<inline-formula><mml:math id="M383" 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> as compared to
22.06 kg CO<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M385" 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> h<inline-formula><mml:math id="M386" 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> of the emissions inventory. In winter,
the measured emissions averaged to 25.92 kg CO<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M388" 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> h<inline-formula><mml:math id="M389" 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> as
compared to 28.76 kg CO<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M391" 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> h<inline-formula><mml:math id="M392" 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> of the emissions
inventory.</p>
      <p>In summer, 73 % of the grid cells show measured emissions that are
greater than the corresponding grid cells of the total emissions inventory.
For the winter campaign, only 35 % of the measured emissions are greater
than the total emissions inventory. For both the summer and winter campaigns,
emission measurements are higher than the inventory in grid cells along major arterial roads whereas the
measurements are lower than the inventory in residential areas and in
“Downtown”.</p>
      <p>The mean absolute error (MAE) for all grid cells in the entire transect
between measured and modelled total emissions is
17.1 kg CO<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M394" 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> h<inline-formula><mml:math id="M395" 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> in summer and
16.6 kg CO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M397" 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> h<inline-formula><mml:math id="M398" 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> in winter. The median absolute error
for the entire transect is 9.6 in summer and 9.9 in winter.
Table <xref ref-type="table" rid="Ch1.T3"/> lists the MAE by neighbourhood. The
MAE is about a factor of 2 larger in “Downtown” and “West End” compared
to the residential and industrial neighbourhoods.</p>
      <p>The relative error (RE) is defined as the difference between a grid cell's
measured emission and the same cell's emissions inventory divided by the
cell's emissions inventory. The data for the 100 m grid show that 62 %
of the grid cells in summer and 81 % in winter have an RE within a factor
of <inline-formula><mml:math id="M399" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1. As expected, locations with higher REs were locations
in which the building and traffic emissions inventories estimated almost zero
but measured emissions were higher. When excluding grid cells with emissions
<inline-formula><mml:math id="M400" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 kg CO<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M402" 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> h<inline-formula><mml:math id="M403" 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>) in the inventory, 80 % of the
grid cells in summer and 91 % in winter have an RE with a magnitude of
less than <inline-formula><mml:math id="M404" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Assessment of the measurement methodology</title>
      <p>Overall, the developed approach lead to realistic and consistent results. The
spatial patterns of measured emissions are plausible and generally match the
fine-scale inventories of traffic and buildings although at the scale of an
individual grid cell, large errors up to an order of magnitude are observed.
The study was also able to replicate in the winter campaign the spatial
patterns and the magnitude found in summer. The results demonstrate the
potential to apply an aerodynamic resistance approach to measuring emissions
using a network of mobile sensors and data from an urban climate tower.</p>
      <p>Building and traffic emissions are both good predictors of
<inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured in a city at ground level. This implies that
values of <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, from microscale to neighbourhood scales, are
related the CO<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions being generated at those scales (and presumably
this also holds for primary, less reactive air pollutants). This suggests
that it is possible to link <inline-formula><mml:math id="M408" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> to emissions across a complex landscape under
specific, stationary atmospheric conditions. Nevertheless, several challenges
remain.</p>
      <p>Overall, the building emissions were less clearly correlated with the spatial
variability in <inline-formula><mml:math id="M409" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> than traffic emissions which were a better predictor.
Building emissions of CO<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (natural gas burning) are most likely injected
into the atmosphere at roof level (chimneys), where higher winds blend them
in the process of downward mixing into streets and laneways where mobile
sensors were operated. As a result of this blending, the signal of <inline-formula><mml:math id="M411" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> might
show less spatial variability if emissions originate from buildings (far from
sensor) compared to situations near ground-level emissions (car exhaust on
arterial roads). Measured emissions generally tend to underestimate the
inventory in “Downtown” where there is a high density of tall buildings
that vent their emissions usually at higher storeys, likely decoupled from
the grid cells at the ground.
Consequently, the observed peaks in <inline-formula><mml:math id="M412" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> are more likely to be a result of
traffic emissions alone.</p>
      <p>Data can be compared to an independent previous study by
<xref ref-type="bibr" rid="bib1.bibx7" id="text.31"/> that measured and modelled emissions within a
1.9 <inline-formula><mml:math id="M413" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.9 km study area centred on the “Vancouver-Sunset” tower
(see Fig. <xref ref-type="fig" rid="Ch1.F2"/>). In the 1.9 <inline-formula><mml:math id="M414" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.9 km area, emissions
were modelled to be 34.0 kg CO<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M416" 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> h<inline-formula><mml:math id="M417" 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> and measured emissions by
eddy covariance were 30.8 kg CO<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M419" 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> h<inline-formula><mml:math id="M420" 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>. The current study
estimates emissions for the “Sunset/Victoria-Fraserview” neighbourhood (that
is larger than the area in <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.32"/>,
Fig. <xref ref-type="fig" rid="Ch1.F2"/>) for 18 March (winter) as only
16.8 kg CO<inline-formula><mml:math id="M421" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M422" 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> h<inline-formula><mml:math id="M423" 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 the month of May,
<xref ref-type="bibr" rid="bib1.bibx7" id="text.33"/> report modelled emissions of
26.9 kg CO<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M425" 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> h<inline-formula><mml:math id="M426" 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> and measured emissions of
26.0 kg CO<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M428" 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> h<inline-formula><mml:math id="M429" 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>. The current study matches extremely
well here, with emissions for “Sunset/Victoria-Fraserview” on 28 May
(summer) of 26.5 kg CO<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M431" 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> h<inline-formula><mml:math id="M432" 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>. Note that not only the
spatial extent but also the timescales of the two studies disagree.
<xref ref-type="bibr" rid="bib1.bibx7" id="text.34"/> report monthly 24 h emissions for the years
2008–2010, while the current study is restricted to weekdays between 10:00
and 13:30 on the two given dates.</p>
      <p>In selected areas negative net ecosystem exchange (NEE) were detected, such
as in the forest at “Stanley Park”, in some highly vegetated urban
residential areas and the lawn area of a cemetery. This is plausible, because
most grid cells have likely some uptake by photosynthesis of urban
vegetation, but in many cells the emissions from combustion and respiration
combined are greater than photosynthesis. In comparing our lowest measured
emissions from “Stanley Park” (<inline-formula><mml:math id="M433" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 kg CO<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M435" 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> h<inline-formula><mml:math id="M436" 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>) to a
study by <xref ref-type="bibr" rid="bib1.bibx18" id="text.35"/> who measured NEE for a forest with similar
stand composition (Douglas fir forest on Vancouver Island, 200 km to the W)
in April and June in the same latitude. We find that our measured emissions
were within a factor of 2 of those observed in a typical forest at the same
time of day and year.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Possible refinements and errors</title>
      <p>Ultimately, the comparison of measured emissions and the emissions
inventories showed where there might be close alignment or divergences
between the datasets and suggests promising new research opportunities for
improving the proposed methodology and/or emissions inventories.</p>
<sec id="Ch1.S4.SS2.SSS1">
  <title>Aerodynamic resistance</title>
      <p>In terms of methodology, <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is calculated using
<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at a single location and is likely not
representative for the entire city. There is evidence of varying aerodynamic
resistances across the study area. For example in the narrow street canyons
of “Downtown” and in forested “Stanley Park”, it is likely that the
aerodynamic resistance is higher, because of the sheltered nature of the deep
canyons and forest canopy, respectively. Generally, measured emissions could
possibly be overestimated in streets with a denser tree canopy regardless if
the canopy is vegetation or buildings. An area with a dense tree canopy may
actually reduce mixing <xref ref-type="bibr" rid="bib1.bibx23" id="paren.36"/> and, as a result, the measured
<inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> might be higher than emissions propose with a constant
<inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> across the study area. It would therefore be beneficial to
consider variable aerodynamic resistances and to use models that relate
canopy porosity to create maps of variability in <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Further
experiments should be done to determine how <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and consequently
the resulting <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> change when using different methods of estimating
<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>aH</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <title>Averaging procedure</title>
      <p>A methodology to improve the grid averaging would be to sub-sample larger
grid cells using a finer-scale grid (e.g. 20 m <inline-formula><mml:math id="M446" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 20 m or less) and
then to average those finer grid cells
to lower grid resolutions as done in <xref ref-type="bibr" rid="bib1.bibx9" id="text.37"/>. This would help
to reduce some errors at two critical moments. First, it may be possible to
average out some of the extreme values within a grid cell that may be
contributing to an over- or underestimation of emissions within a grid cell
due to a spatial sampling bias. Second, it offers a possibility to determine
the representativeness of the grid cell sample and attribute a certainty or
weight to each cell. Because the current methodology simply spatially
attributes any point(s) to the grid cell in which it intersects, we do not
account for the degree in which point measurements represent the spatial mean
of grid cells.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <title>Emission inventories</title>
      <p>Several factors may account for the differences due to errors in the emission
inventories. First, the emissions inventories were not based on real-time
models of the data for the period of the measurement campaign. The building
emissions inventory presents a challenge when comparing the grid-averaged <inline-formula><mml:math id="M447" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>
and the measured emissions because the building emissions inventory is
downscaled to an hourly average from a yearly estimate. This hourly average
is assumed to be constant over the course of the day, however, studies (e.g.
<xref ref-type="bibr" rid="bib1.bibx29" id="altparen.38"/>) show that most building occupancy (and therefore
energy use) occurs between 09:00 and 19:00, with peaks around 13:00 and
16:00. Furthermore, this does not address the fact that spatially, building
energy use changes throughout the day as people go to and from work and home.
Future work might attempt to quantify the spatial ebb and flow of people
using a combination of surveys, census data, and methods using call detail
records to derive home versus work locations as shown in
<xref ref-type="bibr" rid="bib1.bibx17" id="text.39"/>. Building energy use intensity might be modelled by
season and diurnally based on factors such as building occupancy, building
age, form, and function.</p>
      <p>To explain differences in the traffic emissions inventory, we must account
for the fact that the traffic emissions inventory was derived from spatially
and temporally disaggregated samples of short-term traffic counts. As a
result, the traffic emissions inventory may compound errors over time and
space. Spatially, the traffic count dataset covers mostly the major roads,
which leaves much of the residential areas unsampled. The method described in
Appendix <xref ref-type="sec" rid="App1.Ch1.S2.SS1"/> is used to map traffic count
values across the residential streets to overcome the missing traffic counts,
but more validation is necessary to determine whether this method is
appropriate. Temporally, the traffic emissions inventory is not a real-time
representation of the traffic counts during the measurement campaign.
Furthermore, the traffic emissions are generated using an emissions factor
that is a fleet average for the emitted CO<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> per litre of fuel burned. More
precise estimates of emissions factor in the differences in the emissions
factor by vehicle type and fuel type <xref ref-type="bibr" rid="bib1.bibx25" id="paren.40"/>. Last, the
traffic count data do not indicate the amount of emissions from idling that
occur as a result of traffic jams, which introduces another aspect of
possible uncertainty within the traffic emissions inventory and can be
substantially higher in urban contexts.</p>
      <p>The total emissions inventory factors only building and traffic emissions and
excludes other sources of emissions such as those from human, animal, and
plant and soil respiration. Additional sources of CO<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions could come
from human activities such as landscaping (e.g. lawnmowers and leaf blowers)
and construction. For example, a study by <xref ref-type="bibr" rid="bib1.bibx25" id="text.41"/> showed that,
in a 1.9 km <inline-formula><mml:math id="M450" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.9 km study area around the “Vancouver-Sunset”
tower (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>), emissions from human respiration and
vegetation and soils can account for 8 and 5 %, respectively, of the total
emissions.</p>
      <p>Data-driven models in combination with urban surface databases (urban form,
traffic) could be used to further improve the information in the post-processing and hence assist the derivation of more realistic emission maps
<xref ref-type="bibr" rid="bib1.bibx33" id="paren.42"><named-content content-type="pre">e.g.</named-content></xref>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>In this study, we proposed and implemented a new approach to determine and
map CO<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions at fine scale across a city. The approach combines
multiple mobile sensors at street level with an eddy-covariance flux tower.</p>
      <p>A portable, mobile sensor system to measure the spatial variability of CO<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratios called the <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was developed and tested. Five
<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>s were deployed across a 12.7 km<inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> study area over a
period of 3.5 h; the average sampling density was about
40 samples ha<inline-formula><mml:math id="M456" 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>. Of the 11.7 km<inline-formula><mml:math id="M457" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> study area that could be
traversed, 8.5 km<inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in summer and 8.2 km<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in winter were sampled with
<inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> samples per grid cell. Hence, excluding the grid cells with <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>
samples, the sampling density was roughly
0.5 km<inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> sensor<inline-formula><mml:math id="M463" 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> h<inline-formula><mml:math id="M464" 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> over the 3.5 h period for the
five sensors. If it is assumed that this sampling density is appropriate for
representing urban-scale processes, it would require 230 coordinated mobile
sensors on predefined routes to be deployed across the entire city of
Vancouver (115 km<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) to measure CO<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions across the city during
the same time – obviously an effort that is not realistic.</p>
      <p>However, as sensor parts will become cheaper in the future, possibilities
exist to integrate mobile sensor systems into operational vehicles such as
taxis (e.g. 600 in the city of Vancouver) and mobility-on-demand services
(e.g. currently there are <inline-formula><mml:math id="M467" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1000 carshare vehicles in the city of
Vancouver). Alternatively, the time frame could be extended and, using proper
data selection, one could create composite maps from <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
measured on different days under similar conditions. It would take 10 days in
a coordinated effort to cover the entire city of Vancouver similarly to the
current transect.</p>
      <p>A further question to be explored is whether the current number of samples
(<inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> s) per grid cell is sufficient to represent the typical emissions in
the cell given the intermittent traffic and the fact that large coherent
structures are mostly responsible for mixing of pollutants out of the urban
canopy layer <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx6" id="paren.43"/>. Would a higher density of
points (including multiple campaign days) improve the correlation between
measured and inventory emissions?</p>
      <p>The method to map emissions based on the aerodynamic resistance approach is
sensitive to the measurements that are used to derive the aerodynamic
resistance of heat and requires that a number of assumptions and conditions
are met; yet, the work shows that the aerodynamic resistance approach can be
used reasonably on a scale of 100 <inline-formula><mml:math id="M470" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m grid cells to derive
emissions from measures of aggregated mixing ratios. The measured emissions
across the study area ranged from <inline-formula><mml:math id="M471" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12 to
225 kg CO<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M473" 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> h<inline-formula><mml:math id="M474" 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> per grid cell, thus showing the
possibility for this methodology to detect negative emissions (net uptake),
where photosynthesis is greater than the combined combustion and respiration
emissions.</p>
      <p>The research presented is proof of concept for a future in which atmospheric
sensing is integrated into urban mobility. We have shown the successful
development of new technology and methodology for monitoring and mapping
CO<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios and emissions in complex urban environments, at much
finer scale than previously possible. Despite the simplicity of the
methodology, the study demonstrated that it is possible to measure emissions
across a complex landscape with a fleet of mobile sensors, an eddy-covariance
tower, and the use of the aerodynamic approach to calculating emissions.</p>
      <p><?xmltex \hack{\newpage}?>The data gained can be used to map and validate emissions as well as be
integrated into regional efforts using observations and inversion modelling
(<xref ref-type="bibr" rid="bib1.bibx35" id="altparen.44"/>) or even with total column measurements of CO<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
from satellites.</p>
      <p>Further, the concept could be translated to the mapping of other trace gases
and air pollutants emitted from vehicles and houses, air and surface
temperature, and other environmental variables that affect human health,
comfort, and safety. However, due to the assumption that sources are in the
canopy layer where sensors operate, the proposed methodology is not
necessarily transferable to emissions whose sources are not well represented,
such as fugitive natural gas emissions (methane) or volatile organic
compounds or large industrial sources (tall stacks).</p>
      <p>The development of smaller, more affordable mobile sensor systems can
facilitate new methodological approaches to monitoring the urban environment.
With a fleet of mobile sensors and the methodologies for processing the
derived datasets, the possibility to map and consequently validate emissions
inventories is promising, as is the derivation or real-time pollution and
climate data in cities.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability">

      <p>Data from the two campaigns in the City of Vancouver,
BC, Canada are archived under
<uri>https://doi.pangaea.de/10.1594/PANGAEA.872702</uri> (<xref ref-type="bibr" rid="bib1.bibx27" id="altparen.45"/>). The
datasets include individual measurements from all five sensors, gridded
mixing ratios, and measured and modelled grids of CO<inline-formula><mml:math id="M477" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions in the
various resolutions discussed in the text.<?xmltex \hack{\newline}?> Instructions and
source code to build your own DIYSCO<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> sensor can be found under
<uri>https://diysco2.github.io</uri> (<xref ref-type="bibr" rid="bib1.bibx31" id="altparen.46"/>). In this repository,
you will find the code used in the data analysis and for developing the
traffic emission inventories described in Appendix B1.</p>
  </notes><?xmltex \hack{\clearpage}?><app-group>

<app id="App1.Ch1.S1">
  <title>Testing of sensor system</title>
      <p>Several key system specifications of the <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were evaluated
during the prototyping, namely linearity, accuracy and drift, measurement lag
time between sampling and
measurement, and the effects of inlet location on measurement variability.</p>
<sec id="App1.Ch1.S1.SS1">
  <title>Sensor accuracy and linearity</title>
      <p>The accuracy of the Li-820 is ensured using a two-point calibration,
performed in the lab using a zero gas and a standard span gas in the range of
assumed measurement. In the current study, all standard tanks have been
calibrated against primary CDML/NOAA WMO-traceable tanks with a typical error
between standard and primary tanks in <inline-formula><mml:math id="M480" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> of <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> ppm. For the current
application, accuracy and linearity of the Li-820 sensor are relevant in the
range 400 to 500 ppm to enable comparisons between different
<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>s operated simultaneously and also to properly compare
<inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">tower</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>To test the linearity in the range 400 to 500 ppm, a test was performed
using six standard gases of known <inline-formula><mml:math id="M484" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> at 400 (two tanks), 413 (one tank), 457
(two
tanks), and 504 ppm (one tank). All Li-820 sensors were first left running for
2 h to account for the warm-up time. The <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>s were
connected to a calibration gas using a Union Tee connector. For each of the
six gases, the calibration protocol called for an initial 2-min system
flush and then a recording of the values for at least 1 min each. A minimum
of 60 points per gas sample were used to calculate the average mixing ratios
per tank measured by the system.</p>
      <p>The Li-820 contained in the <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed strong linearity
(<inline-formula><mml:math id="M487" 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 0.9999) and a RMSE of 0.233 ppm for the
four different <inline-formula><mml:math id="M488" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>. This indicates that the IRGA is operating well within its
factory specifications of 1 ppm when calibrated and linearity and accuracy
are not the limiting factor for this type of study.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <title>Sensor drift</title>
      <p>Sensor drift is assessed to determine the <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>'s ability to
properly resolve the variability of mixing ratios during the duration of the
campaign. Sensor drift was tested over the course of 7 days, with five sensors
drawing in air from the same point outdoors at <inline-formula><mml:math id="M490" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 3 m in an urban
context.</p>
      <p>The RMSE between the five systems at a 1 min resolution ranged between 0.2
and 3 ppm for the 7-day period and is therefore time dependent. The
drift in the lab was up to <inline-formula><mml:math id="M491" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3.32 ppm per day for individual sensors and
days. Given that the field campaign was planned to be 3 to 3.5 h long, the
maximum drift of any sensor in any 3 h was determined at most <inline-formula><mml:math id="M492" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.31 and
<inline-formula><mml:math id="M493" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.51 ppm relative to the mean of all five sensors. During the field
experiments, however, we observed a maximum drift of <inline-formula><mml:math id="M494" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.95 ppm relative to
the mean of all sensors, which was greater than what was found in the lab
test.</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <title>Time constant and lag time</title>
      <p>The system measurement lag time is the time delay from when a measurement
first enters the sample inlet of the system to when the signal is registered
by the sensor. The <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>'s measurement lag time is important to
correctly attribute measurements to their geographic space.</p>
      <p>For a given tube length and flow rate, the lag time will differ and therefore
affect the system response characteristics. The values here are for a tube
length of 3 m. Lab measurements were performed in which a solenoid switch
was used to pass nitrogen gas with 0 ppm CO<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> into the sample tube inlet
while simultaneously logging the exact second in which the solenoid was
triggered. To calculate the lag time value for the system, the number of
seconds were counted from when the sample enters the tube until 50 % of
the change was reached.</p>
      <p>The measurement lag time of the <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system was determined to
be 18.2 s. The measurement lag time is the sum of the 16 s sample travel time
from the inlet to the IRGA and the IRGA's time constant of 3.2 s. We consequently used a value of 18 s in the
post-processing to shift the GPS and observed <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> time
series to properly attribute measurements spatially. However, as the time
constant with 3.2 s was higher than the nominal sampling frequency of 1 Hz,
the actual sampling frequency was less than 1 s, leading to a positional
standard deviation of the signal of 10 m, not 5 m (at a typical speed of
20 km h<inline-formula><mml:math id="M499" 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>).</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <title>Effects of inlet location</title>
      <p>Two tests were performed to examine possible sampling biases due to different
sample inlet locations on a vehicle. First, a test was done with five
<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the same vehicle, where all the inlet tubes were
bundled together at 2.2 m height, measuring at the same location (within a
few cm of each other) of the vehicle (referred to as “Grouped Inlet Test”).
A second test was done again with five <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the same
vehicle, but with each of the inlet tubes located at different locations on
the vehicle (referred to as “Ungrouped Inlet Test”). Locations tested were
all again at 2.2 m height: one each above the driver's side front, driver's
side back, passenger side front, and passenger side back window. Both test
were performed in the city of Vancouver using a Toyota Tacoma Truck along a
route with traffic volumes ranging from 300 to 850 vehicles per hour.</p>
      <p>In areas with a well-mixed atmosphere and on roads with little traffic, the
<inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> systems for the grouped inlet test showed a range within
<inline-formula><mml:math id="M503" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.5 ppm of the mean all five sensors for 1 s data. For the ungrouped
inlet test under those same conditions, the range deteriorated to <inline-formula><mml:math id="M504" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5 ppm
of the mean. Adding the higher traffic road segments, with observations of
higher CO<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios, the standard deviation between all five of the
<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">DIYSCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> locations increases for the 1 Hz data. With inlets
grouped together, 48.9, 81.16, and 90.14 % of the 1 s data have a
standard deviation within 5, 15, and 25 ppm. The results of the ungrouped
inlet test showed that 54.98, 79.08, and 87.49 % of the data have a
standard deviation within 5, 15, and 25 ppm, respectively, for the data
collected at 1 s. When aggregated to 1 min, the data showed 66.67, 91.66,
and 94.44 % of the data have a standard deviation within 5, 15, and
25 ppm of each other, respectively.</p>
      <p>This indicates that slightly less than half of the 1 s data measured by the
sensors are within 5 ppm of each other and that we can expect a majority of
the data (<inline-formula><mml:math id="M507" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 88.85 %) to have errors up to 15 ppm depending on where
the inlet is mounted on the car. When examining the variability of the
observed values for the 1 min data, 86.3 and 98.63 % of the data have a
standard deviation within 5 and 25 ppm. In summary, the sampling location is
a source of much greater uncertainty than instrument accuracy, drift, or
linearity in the context of this work.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <title>Emissions inventories</title>
      <p>This appendix described the derivation of the independent building and
traffic emissions inventory that were compared against the measured CO<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
emissions.</p>
<sec id="App1.Ch1.S2.SS1">
  <title>Traffic emissions inventory</title>
      <p>The fine-scale gridded traffic emissions inventory was based on hourly
averaged directional traffic count data from 2008 to 2013 provided by the city
of Vancouver <xref ref-type="bibr" rid="bib1.bibx8" id="paren.47"/>.</p>
      <p>For each hour of the day, traffic counts were spatially attributed to the
Open Street Map (<inline-formula><mml:math id="M509" display="inline"><mml:mi mathvariant="normal">OSM</mml:mi></mml:math></inline-formula>) road network. The city of Vancouver provides
traffic counts collected from pneumatic road tubes which are attributed to an
approximate address of where the traffic counters were located. The traffic
counts do not distinguish between different vehicle classes and are
aggregated to the street level, meaning that, for this analysis, the traffic
counts did not take into account the direction of travel.</p>
      <p>The city also provides a geospatial representation of the locations of the
traffic counters with the address, but without the count data attached. The
geospatial data were merged with the count data. However, because spatial
traffic counts do not align with the OSM road network, the centroids of the
spatial traffic count data were computed and then “snapped” to the OSM
road network. Before joining the traffic count data by the matching locations
of the two datasets, the OSM road network was split into segments using the
50 <inline-formula><mml:math id="M510" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 50 m vector grid. A small (0.5 m) buffer was applied to the
traffic count centroids to ensure that they spatially match onto the OSM
road network and then were merged to the OSM dataset.</p>
      <p>An algorithm was used to match the street names in the traffic count dataset
to those in the OSM street network. Manual mapping of traffic counts was
necessary to attribute traffic counts to streets that were not sampled in the
traffic counts. A rule of proximity and local understanding of the traffic
patterns for each of the streets was used to manually map the traffic counts
to the unsampled streets. Using the OSM street classifications, traffic
counts for paths unnavigable by vehicles were given a value of “0” traffic
counts, namely “steps”, “trail”, “footpath”, and “service”. Lastly,
the traffic counts for forked roads in the dataset which would have doubled
the count for a particular street were divided in half.</p>
      <p>With a complete model of the traffic counts for the transect, it was then
possible to generate a gridded traffic emissions inventory map of CO<inline-formula><mml:math id="M511" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(now referred to as “traffic emissions inventory”). The length of each of
the street segments which had been split in the earlier steps were calculated
and then summed up per 50, 100, 200, and 400 m grid cell. Next, the length
of navigable roads per grid cell were multiplied by the hourly traffic counts
along each road, resulting in an estimate of total distance of vehicle
travelled per grid cell. Each grid cell's hourly travel distance was then
multiplied by the NRCAN fleet standard fuel consumption <xref ref-type="bibr" rid="bib1.bibx34" id="paren.48"/>
for urban driving (12.9 L 100 km<inline-formula><mml:math id="M512" 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>) and after by a CO<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions
factor (2.175 kg L<inline-formula><mml:math id="M514" 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> fuel burned) <xref ref-type="bibr" rid="bib1.bibx12" id="paren.49"/> to
generate the traffic emissions estimate map of CO<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In this study, the
traffic count data provided by the city of Vancouver are averaged across all
of the years that the traffic count data have been collected. The data are
then scaled by a factor 0.9985 and 1.0216 to reflect the seasonally changing
relative traffic volumes for March and May based on automatic and continuous
highway counts (weekday only) at five locations throughout Metro Vancouver.</p>
</sec>
<sec id="App1.Ch1.S2.SS2">
  <title>Building emissions inventory</title>
      <p>The fine-scale gridded building emission inventory was developed in previous
research and is documented in detail in <xref ref-type="bibr" rid="bib1.bibx44" id="text.50"/>. It
integrates lidar data, building simulation software, and a building typology
database to model CO<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions attributed to building energy use; the
original building emissions inventory is on a per-building scale in carbon
dioxide equivalent (CO<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq., reported in
kg CO<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq. year<inline-formula><mml:math id="M519" 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>). In this research, it is assumed that
CO<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq. and CO<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are the same for building heating systems. This is
then converted to a 1 m raster using building footprints derived from lidar
and property perimeters. The 1 m raster was then
averaged to the 50, 100, 200, and 400 m vector grids and scaled to their
estimated hourly values for both campaigns.</p>
      <p>Because the inventory by <xref ref-type="bibr" rid="bib1.bibx44" id="text.51"/> reports annual estimates
(in kg CO<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> eq. m<inline-formula><mml:math id="M523" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> year<inline-formula><mml:math id="M524" 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>), a scaling factor based on
monthly city emissions inventory was used in this study to account for the
winter and summer building emissions fraction. In the months of March and
May, the building emissions for a sample of the city of Vancouver were
estimated to be 99.85 and 63.63 % of the annual average building
emissions (reported in <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.52"/>). The final building
emissions inventory was reported in kg CO<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M526" 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> h<inline-formula><mml:math id="M527" 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>. In this
case, it is assumed that the building emissions are constant over the course
of the day.</p>
      <p>Each grid cell of the total emissions inventory is simply the sum of the
building emissions inventory and the traffic emissions inventory in
kg CO<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M529" 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> h<inline-formula><mml:math id="M530" 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>. Other emission processes such as human
respiration or biological processes are not considered in the inventory.</p>
</sec>
</app>

<app id="App1.Ch1.S3">
  <title>Effect of grid size</title>
      <p>In addition to the 100 <inline-formula><mml:math id="M531" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 m grid, the raw data points were also
gridded to 50, 200, and 400 m vector grids for both the winter and summer
campaigns to explore the sensitivity of choosing different grid sizes.</p>
<sec id="App1.Ch1.S3.SS1">
  <title>Effects on spatially averaged mixing ratios</title>
      <p>Changes in grid size affected the study area mean <inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by
6.1 ppm in the summer and only 1.1 ppm in the winter.
Table <xref ref-type="table" rid="App1.Ch1.T1"/> summarizes the statistics
for different grid cell sizes. The grid maximum values for the 50, 100, 200,
and 400 m grids were 529.8, 518.0, 488.2, and 447.7 ppm for
the summer and 643.1, 560.5, 529.4, and 492.5 ppm for the
winter, respectively.</p>
      <p>The highest grid maximums were observed in the 50 m grid size. This is
expected because the most extreme <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are spatially
averaged out by larger grid cell sizes.</p>
</sec>
<sec id="App1.Ch1.S3.SS2">
  <title>Effects on spatially averaged emissions</title>
      <p>In the summer campaign, the differences between the measured emissions and
the inventory emissions increases as the grid size increase
(Table <xref ref-type="table" rid="App1.Ch1.T2"/>). The smallest
difference is seen in the 50 m grid at
6.88 kg CO<inline-formula><mml:math id="M534" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M535" 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> h<inline-formula><mml:math id="M536" 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>. In the winter campaign, the
differences between the measured and inventory emissions are smallest in the
100 m (2.84 kg CO<inline-formula><mml:math id="M537" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M538" 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> h<inline-formula><mml:math id="M539" 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>) and 200 m
(0.9 kg CO<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M541" 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> h<inline-formula><mml:math id="M542" 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>) grid sizes and are greatest in the
50 m grid size at 7.8 kg CO<inline-formula><mml:math id="M543" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M544" 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> h<inline-formula><mml:math id="M545" 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>.</p>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T1"><caption><p>Summary data of the measured mixing ratios for all grid sizes for
the summer and winter campaigns. The table shows the mean, minimum, median,
and
maximum CO<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">mobile</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the gridded data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Grid size</oasis:entry>  
         <oasis:entry colname="col2">Min</oasis:entry>  
         <oasis:entry colname="col3">Median</oasis:entry>  
         <oasis:entry colname="col4">Mean</oasis:entry>  
         <oasis:entry colname="col5">Max</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(ppm)</oasis:entry>  
         <oasis:entry colname="col3">(ppm)</oasis:entry>  
         <oasis:entry colname="col4">(ppm)</oasis:entry>  
         <oasis:entry colname="col5">(ppm)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Summer</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50 m</oasis:entry>  
         <oasis:entry colname="col2">393.1</oasis:entry>  
         <oasis:entry colname="col3">409.4</oasis:entry>  
         <oasis:entry colname="col4">417.3</oasis:entry>  
         <oasis:entry colname="col5">529.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">100 m</oasis:entry>  
         <oasis:entry colname="col2">393.1</oasis:entry>  
         <oasis:entry colname="col3">410.0</oasis:entry>  
         <oasis:entry colname="col4">417.9</oasis:entry>  
         <oasis:entry colname="col5">518.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">200 m</oasis:entry>  
         <oasis:entry colname="col2">397.0</oasis:entry>  
         <oasis:entry colname="col3">412.9</oasis:entry>  
         <oasis:entry colname="col4">419.6</oasis:entry>  
         <oasis:entry colname="col5">488.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">400 m</oasis:entry>  
         <oasis:entry colname="col2">399.6</oasis:entry>  
         <oasis:entry colname="col3">417.5</oasis:entry>  
         <oasis:entry colname="col4">419.0</oasis:entry>  
         <oasis:entry colname="col5">447.7</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Winter</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50 m</oasis:entry>  
         <oasis:entry colname="col2">408.4</oasis:entry>  
         <oasis:entry colname="col3">434.5</oasis:entry>  
         <oasis:entry colname="col4">442.6</oasis:entry>  
         <oasis:entry colname="col5">643.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">100 m</oasis:entry>  
         <oasis:entry colname="col2">408.4</oasis:entry>  
         <oasis:entry colname="col3">435.0</oasis:entry>  
         <oasis:entry colname="col4">442.5</oasis:entry>  
         <oasis:entry colname="col5">560.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">200 m</oasis:entry>  
         <oasis:entry colname="col2">408.4</oasis:entry>  
         <oasis:entry colname="col3">436.8</oasis:entry>  
         <oasis:entry colname="col4">443.7</oasis:entry>  
         <oasis:entry colname="col5">529.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">400 m</oasis:entry>  
         <oasis:entry colname="col2">420.5</oasis:entry>  
         <oasis:entry colname="col3">441.9</oasis:entry>  
         <oasis:entry colname="col4">443.2</oasis:entry>  
         <oasis:entry colname="col5">492.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>In both campaigns, the spatial error (expressed RMSE) between measurements
and inventory decreases as grid sizes become coarser. In the summer campaign,
80.05, 86.71, 85.31, and 95.45 % of the cells have measured emissions
that are within a factor of <inline-formula><mml:math id="M548" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 of the total emissions inventory for the
50, 100, 200, and 400 m grids, respectively. In the winter campaign, 91.16,
93.74, 94.20, and 100 % of the cells have measured emissions within
<inline-formula><mml:math id="M549" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 of the total emissions inventory.</p>
      <p><?xmltex \hack{\newpage}?>For the winter campaign, we observe that the mean bias,
i.e. differences between the mean measured emissions and the mean inventory
emissions, decreases as grid size increases, presumably because more sampling points mean we average
out random errors in individual cells. The best match is found at 200 m
resolution. Of course, this is very sensitive to the calculated aerodynamic
resistance and should not be interpreted as a generality.</p>
      <p>For the summer campaign, however, there is an increasing difference between
the mean measured emissions and the mean total emissions. This may be best
explained by the bias towards roads in the sampling methodology. In the
summer campaign, the dominant source are vehicles constrained to roads. The
difference between the average measured emissions and the total emissions
inventory is relatively small for the 50 m grid because the measurements are
made mostly along roads and therefore do not include traffic-free areas such
as in the backyards of homes and within large street blocks which can have
significantly lower concentration of traffic-related pollutants
<xref ref-type="bibr" rid="bib1.bibx47" id="paren.53"/>. As a result, when comparing the average measured
emissions to the average of the total emissions inventories for the 100, 200,
and 400 m grids, we see that a sampling bias becomes more apparent. The
50 m grid cell size is a more appropriate resolution for gridding the point
measurements collected using this methodology when traffic emissions
dominate. Additional sampling along alleys and laneways and more
representative sampling using alternative mobility options such as bicycles
or drones may
help to improve the relationship between measured emissions and the emissions
inventory when gridding at coarser resolutions.</p><?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.T2"><?xmltex \hack{\hsize\textwidth}?><caption><p>Mean measured emissions versus mean
inventory emissions for the winter and summer campaigns.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Grid size</oasis:entry>  
         <oasis:entry colname="col2">Measured emissions</oasis:entry>  
         <oasis:entry colname="col3">Inventory emissions</oasis:entry>  
         <oasis:entry colname="col4">Relative difference</oasis:entry>  
         <oasis:entry colname="col5">RMSE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">(kg CO<inline-formula><mml:math id="M550" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M551" 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> h<inline-formula><mml:math id="M552" 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>)</oasis:entry>  
         <oasis:entry colname="col3">(kg CO<inline-formula><mml:math id="M553" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M554" 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> h<inline-formula><mml:math id="M555" 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>)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">(kg CO<inline-formula><mml:math id="M556" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ha<inline-formula><mml:math id="M557" 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> h<inline-formula><mml:math id="M558" 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>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col5">Summer </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50 m</oasis:entry>  
         <oasis:entry colname="col2">34.06</oasis:entry>  
         <oasis:entry colname="col3">27.18</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M559" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>29 %</oasis:entry>  
         <oasis:entry colname="col5">32.54</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">100 m</oasis:entry>  
         <oasis:entry colname="col2">35.11</oasis:entry>  
         <oasis:entry colname="col3">22.06</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M560" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>59 %</oasis:entry>  
         <oasis:entry colname="col5">27.91</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">200 m</oasis:entry>  
         <oasis:entry colname="col2">38.30</oasis:entry>  
         <oasis:entry colname="col3">19.73</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M561" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>94 %</oasis:entry>  
         <oasis:entry colname="col5">29.01</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">400 m</oasis:entry>  
         <oasis:entry colname="col2">37.26</oasis:entry>  
         <oasis:entry colname="col3">15.27</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M562" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>144 %</oasis:entry>  
         <oasis:entry colname="col5">28.57</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col5">Winter </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">50 m</oasis:entry>  
         <oasis:entry colname="col2">25.67</oasis:entry>  
         <oasis:entry colname="col3">33.47</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M563" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23 %</oasis:entry>  
         <oasis:entry colname="col5">34.23</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">100 m</oasis:entry>  
         <oasis:entry colname="col2">25.92</oasis:entry>  
         <oasis:entry colname="col3">28.76</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M564" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 %</oasis:entry>  
         <oasis:entry colname="col5">25.39</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">200 m</oasis:entry>  
         <oasis:entry colname="col2">27.21</oasis:entry>  
         <oasis:entry colname="col3">26.31</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M565" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3 %</oasis:entry>  
         <oasis:entry colname="col5">19.58</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">400 m</oasis:entry>  
         <oasis:entry colname="col2">26.60</oasis:entry>  
         <oasis:entry colname="col3">23.33</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M566" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>14 %</oasis:entry>  
         <oasis:entry colname="col5">17.71</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\clearpage}?>
</sec>
</app>
  </app-group><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p>This paper was supported through an NSERC Discovery Grant (“Direct
measurement of greenhouse gas exchange in urban ecosystems”, A. Christen).
Sensor development and tower infrastructure were funded in part through the
Canada Foundation for Innovation (grants 17141 and 33600). Scholarship to
J. K. Lee was provided through NSERC CREATE and through the “Mozilla Science
Lab”. Experiment vehicles were sponsored by “moovel lab”, Stuttgart,
Germany. We thank A. Black, R. Kellett, S. Lapsky, and L. Lavkulich (all UBC) for
their guidance, support, and help.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by:
G. Phillips<?xmltex \hack{\newline}?> Reviewed by: E. Velasco and one anonymous referee</p></ack><ref-list>
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    <!--<article-title-html>A mobile sensor network to map carbon dioxide emissions in urban environments</article-title-html>
<abstract-html><p class="p">A method for directly measuring carbon dioxide (CO<sub>2</sub>) emissions using a
mobile sensor network in cities at fine spatial resolution was developed and
tested. First, a compact, mobile system was built using an infrared gas
analyzer combined with open-source hardware to control, georeference, and log
measurements of CO<sub>2</sub> mixing ratios on vehicles (car, bicycles). Second, two
measurement campaigns, one in summer and one in winter (heating season) were
carried out. Five mobile sensors were deployed within a 1 × 12. 7 km
transect across the city of Vancouver, BC, Canada. The sensors were operated
for 3.5 h on pre-defined routes to map CO<sub>2</sub> mixing ratios at street level,
which were then averaged to 100  ×  100 m grid cells. The averaged
CO<sub>2</sub> mixing ratios of all grids in the study area were 417.9 ppm in summer
and 442.5 ppm in winter. In both campaigns, mixing ratios were highest in
the grid cells of the downtown core and along arterial roads and lowest in
parks and well vegetated residential areas. Third, an aerodynamic resistance
approach to calculating emissions was used to derive CO<sub>2</sub> emissions from
the gridded CO<sub>2</sub> mixing ratio measurements in conjunction with mixing
ratios and fluxes collected from a 28 m tall eddy-covariance tower located
within the study area. These measured emissions showed a range of −12 to
226 CO<sub>2</sub> ha<sup>−1</sup> h<sup>−1</sup> in summer and of −14 to
163 kg CO<sub>2</sub> ha<sup>−1</sup> h<sup>−1</sup> in winter, with an average of
35.1 kg CO<sub>2</sub> ha<sup>−1</sup> h<sup>−1</sup> (summer) and
25.9 kg CO<sub>2</sub> ha<sup>−1</sup> h<sup>−1</sup> (winter). Fourth, an independent
emissions inventory was developed for the study area using buildings energy
simulations from a previous study and routinely available traffic counts. The
emissions inventory for the same area averaged to
22.06 kg CO<sub>2</sub> ha<sup>−1</sup> h<sup>−1</sup> (summer) and
28.76 kg CO<sub>2</sub> ha<sup>−1</sup> h<sup>−1</sup> (winter) and was used to compare
against the measured emissions from the mobile sensor network. The comparison
on a grid-by-grid basis showed linearity between CO<sub>2</sub> mixing ratios and the
emissions inventory (<i>R</i><sup>2</sup> = 0. 53 in summer and <i>R</i><sup>2</sup> = 0. 47 in winter). Also,
87 % (summer) and 94 % (winter) of measured grid cells show a
difference within ±1 order of magnitude, and 49 % (summer) and
69 % (winter) show an error of less than a factor 2. Although associated
with considerable errors at the individual grid cell level, the study
demonstrates a promising method of using a network of mobile sensors and an
aerodynamic resistance approach to rapidly map greenhouse gases at high
spatial resolution across cities. The method could be improved by longer
measurements and a refined calculation of the aerodynamic resistance.</p></abstract-html>
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