<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="data-paper">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-13-3219-2021</article-id><title-group><article-title>The WGLC global gridded lightning <?xmltex \hack{\break}?>climatology and time series</article-title><alt-title>WGLC global lightning climatology</alt-title>
      </title-group><?xmltex \runningtitle{WGLC global lightning climatology}?><?xmltex \runningauthor{J.~O.~Kaplan and K.~H.-K.~Lau}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Kaplan</surname><given-names>Jed O.</given-names></name>
          <email>jed.kaplan@hku.hk</email>
        <ext-link>https://orcid.org/0000-0001-9919-7613</ext-link></contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Lau</surname><given-names>Katie Hong-Kiu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2875-5985</ext-link></contrib>
        <aff id="aff1"><institution>Department of Earth Sciences, The University of Hong Kong, Pokfulam
Road, Hong Kong, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jed O. Kaplan (jed.kaplan@hku.hk)</corresp></author-notes><pub-date><day>6</day><month>July</month><year>2021</year></pub-date>
      
      <volume>13</volume>
      <issue>7</issue>
      <fpage>3219</fpage><lpage>3237</lpage>
      <history>
        <date date-type="received"><day>16</day><month>March</month><year>2021</year></date>
           <date date-type="accepted"><day>11</day><month>June</month><year>2021</year></date>
           <date date-type="rev-recd"><day>24</day><month>May</month><year>2021</year></date>
           <date date-type="rev-request"><day>24</day><month>March</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Jed O. Kaplan</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021.html">This article is available from https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e89">Lightning is an important atmospheric phenomenon and has wide-ranging
influence on the Earth system, but few long-term observational datasets of
lightning occurrence and distribution are currently freely available. Here, we
analyze global lightning activity over the second decade of the
21st century using a new global, high-resolution gridded
time series and climatology of lightning stroke density based on raw data from
the World Wide Lightning Location Network (WWLLN). While the total number of
strokes detected increases from 2010–2014, an adjustment for detection
efficiency reduces this artificial trend. The global distribution of lightning
shows the well-known pattern of greatest density over the three tropical
terrestrial regions of the Americas, Africa, and the Maritime Continent, but
we also noticed substantial temporal variability over the 11 years of record,
with more lightning in the tropics from 2012–2015 and increasing lightning in
the midlatitudes of the Northern Hemisphere from 2016–2020. Although the
total number of strokes detected globally was constant, mean stroke power
decreases significantly from a peak in 2013 to the lowest levels on record in
2020. Evaluation with independent observational networks shows that while the
WWLLN does not capture peak seasonal lightning densities, it does represent
the majority of powerful lightning strokes. The resulting gridded lightning
dataset <xref ref-type="bibr" rid="bib1.bibx35" id="paren.1"><named-content content-type="post"><ext-link xlink:href="https://doi.org/10.5281/zenodo.4774528" ext-link-type="DOI">10.5281/zenodo.4774528</ext-link></named-content></xref>
is freely available and will be useful for a range of studies in climate,
Earth system, and natural hazards research, including direct use as input data
to models and as evaluation data for independent simulations of lightning
occurrence.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e107">Beyond well-known risks to person and property, lightning plays an important
role in the Earth system. Lightning influences the chemical composition of the
atmosphere, is the principle non-anthropogenic cause of wildfire ignitions
<xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx18" id="paren.2"/>, and is an important source of high energy radiation
that affects atmospheric electricity, e.g., the propagation of radio
waves. Quantifying the effects of lightning on the Earth system, and
understanding where and how lightning presents hazards, requires an estimate
of the timing, geographical distribution, and intensity of lightning strokes
at continental to global scales. Large-scale maps of lightning occurrence are
as important as those for temperature or precipitation in some land surface
<xref ref-type="bibr" rid="bib1.bibx26" id="paren.3"/> and atmospheric chemistry models <xref ref-type="bibr" rid="bib1.bibx23" id="paren.4"/>, and are valuable in
their own right for understanding various meteorological phenomena such as the
frequency and distribution of extreme precipitation <xref ref-type="bibr" rid="bib1.bibx70" id="paren.5"><named-content content-type="pre">e.g.,</named-content></xref> and
for risk and hazard assessment <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx39" id="paren.6"><named-content content-type="pre">e.g.,</named-content></xref>. Observing and
mapping lightning distribution at large spatial scales has thus been a
priority for the community for nearly a century <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx38" id="paren.7"/>.</p>
      <p id="d1e133">While scientific observations of lightning occurrence have been recorded for
more than 200 years <xref ref-type="bibr" rid="bib1.bibx41" id="paren.8"/>, only recently has it become possible
to create datasets with continuous global coverage. The first global datasets
of lightning occurrence were derived from spaceborne remote sensing
<xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx48" id="paren.9"/> and remain an important tool for researchers. For nearly two
decades, the only global lightning climatology freely available to researchers
has been the Lightning Imaging Sensor – Optical<?pagebreak page3220?> Transient Detector (LIS/OTD)
dataset. LIS/OTD found wide application in Earth system science, including
meteorology and climatology <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx73" id="paren.10"><named-content content-type="pre">e.g.,</named-content></xref>, wildfire science
<xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx40 bib1.bibx52 bib1.bibx66" id="paren.11"><named-content content-type="pre">e.g.,</named-content></xref>, atmospheric chemistry
<xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx58" id="paren.12"><named-content content-type="pre">e.g.,</named-content></xref>, and atmospheric physics <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx25 bib1.bibx63" id="paren.13"><named-content content-type="pre">e.g.,</named-content></xref>. However, LIS/OTD has several limitations that have made it
worthwhile to develop an alternative, free global gridded lightning dataset.</p>
      <p id="d1e163">First, LIS/OTD covers the period 1995–2000, with additional data for the
tropics (between <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) covering 1998–2010 <xref ref-type="bibr" rid="bib1.bibx13" id="paren.14"/>. Since
this release, no update of LIS/OTD has been made. Second, while the LIS/OTD
climatology is available at the relatively high spatial resolution of
0.5<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, the time-transient data are only available a low spatial
resolution (2.5<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and have temporal gaps in coverage. Furthermore,
the global LIS/OTD time series data are not available beyond 2000. While
there is a new International Space Station Lightning Imaging Sensor (ISS-LIS)
lightning stroke density and energy product, these data do not cover the high
latitudes, nor can the sensor, being mounted on the orbiting space station,
detect lightning across the entire globe simultaneously.</p>
      <p id="d1e205">At the same time, several very-high-quality lightning datasets have been
produced using ground-based sensor networks used for operational lightning
monitoring, e.g., by meteorological services for near-real-time hazard
warnings. While these datasets have been invaluable for regional studies, they
are either not global <xref ref-type="bibr" rid="bib1.bibx24" id="paren.15"><named-content content-type="pre">e.g.,</named-content></xref>, not free <xref ref-type="bibr" rid="bib1.bibx29" id="paren.16"/>, or both
<xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx49" id="paren.17"/>.</p>
      <p id="d1e220">Because LIS/OTD is neither updated nor not available at sufficient resolution
for many studies, and because other datasets are not free or not global, there
is a demand for an open-access, continuously updated global lightning
time series and climatology with monthly temporal and 0.5<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> or finer
spatial resolution. Over the past decade, steps have been made to develop such
a dataset based on the World Wide Lightning Location Network (WWLLN) network of
very-low-frequency (VLF) radio sensors.</p>
      <p id="d1e232">Based on the observation that lightning strokes emit characteristic VLF radio
energy in the 1–24 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kHz</mml:mi></mml:mrow></mml:math></inline-formula> range, and that the location of strokes could
be established through triangulation <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx54" id="paren.18"/>, the WWLLN was
established in 2003 and produced its first set of global observations in
August 2004. The WWLLN network has grown steadily over subsequent years and
been improved with postprocessing to correct for timing and location
inaccuracies, and provide estimates of relative detection efficiency and
energy per stroke. Currently, the WWLLN has over 70 participating detector
stations that monitor VLF radio waves in real time. The initial specification
of the network was to provide global real-time locations of lightning
discharges with more than 50 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> flash detection efficiency
<xref ref-type="bibr" rid="bib1.bibx54" id="paren.19"/> and global mean location accuracy of 3.4 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx55" id="paren.20"/>.</p>
      <p id="d1e269">Since its inception, the WWLLN has been used in more than 100 publications
including local, regional, and global studies on atmospheric electricity
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.21"><named-content content-type="pre">e.g.,</named-content></xref>, and climate phenomena including precipitation and tropical
cyclones <xref ref-type="bibr" rid="bib1.bibx42" id="paren.22"><named-content content-type="pre">e.g.,</named-content></xref>, and to develop regional climatologies
<xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx65" id="paren.23"><named-content content-type="pre">e.g.,</named-content></xref>. A complete list of published studies using WWLLN
is cataloged at <uri>http://wwlln.net/publications</uri> (last access: 5 July 2021). WWLLN has been extensively evaluated against independent
observations of lightning occurrence and stroke energy at regional and global
scale, including studies assessing the network's detection efficiency
<xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx11 bib1.bibx32" id="paren.24"/>, precision in geolocation <xref ref-type="bibr" rid="bib1.bibx55" id="paren.25"/>, and accuracy
of the calculated stroke energy <xref ref-type="bibr" rid="bib1.bibx56" id="paren.26"/>.</p>
      <p id="d1e300"><xref ref-type="bibr" rid="bib1.bibx67" id="text.27"/> presented the first global lightning climatology based on WWLLN
data covering the period 2005–2012 with 0.25<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial and hourly
temporal resolution. In this study, the gridded WWLLN climatology was compared
with LIS/OTD and also showed the added value of observing the diurnal cycle of
lightning by having a dataset with hourly resolution <xref ref-type="bibr" rid="bib1.bibx67" id="paren.28"/>. In the
intervening years, WWLLN has continued to collect data and increased the
quality of the retrievals through a build-out of the sensor network. Given
these improvements, continued interest in an open-access global gridded
lightning dataset, and questions about the relationship between ongoing
climate change and lightning occurrence, synthesis of the WWLLN data is due
for an update.</p>
      <p id="d1e317">Here, we present a new analysis of all of the WWLLN data collected to date, the
development of a multi-resolution gridded climatology and time series, and
evaluation of the resulting fields with independent observations from surface
and spaceborne sensors. We demonstrate that in terms of total number of
strokes detected the WWLLN network stabilized around 2014, but that with
corrections for relative detection efficiency the dataset can be used back to
2010. We discuss the climatology of lightning over the second decade of the
21st century and interannual variability in lightning distribution and stroke
power. The global gridded datasets resulting from this study form the WWLLN
Global Lightning Climatology (WGLC). The WGLC is freely available for download
at 0.5<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 5 arcmin spatial with daily and monthly temporal resolution and
will be updated annually in the first quarter of every year.</p>
</sec>
<?pagebreak page3221?><sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Description of the WWLLN raw data</title>
      <p id="d1e344">The World Wide Lightning Location Network
(<uri>http://wwlln.net</uri>, last access: 5 July 2021) is a
global lightning detection network developed through international
collaboration, supported by researchers around the world who host the sensors,
and coordinated at the University of Washington. WWLLN is currently based on
an array of 70 VLF radio sensors with at least two
sensors on every continent with additional sensors on several oceanic islands
(Fig. S1 in the Supplement).</p>
      <p id="d1e350">WWLLN data consist of georeferenced timestamps representing the time and
location at which a lightning stroke was detected. Two types of WWLLN data are
distributed by the network. Raw data (“A” data) are timestamped lightning
stroke locations – these are defined by the WWLLN operators as events with
residuals less than 30 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> and where more than five WWLLN stations
participated in providing the location – that may be retrieved in near
real-time by network subscribers. Postprocessed “AE” data are almost the
same as the “A” data but are reprocessed to include a determination of the
radiated VLF energy in the 7–18 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kHz</mml:mi></mml:mrow></mml:math></inline-formula> band and ancillary information,
including the root mean square (rms) stroke energy and an uncertainty in the energy
estimate. WWLLN AE data also may have  slight differences from A data in the
least significant digits of the geolocation, because additional station
retrievals may be used in improving the location accuracy. Postprocessed WWLLN
AE data are available some days after detection.</p>
      <p id="d1e371">For both WWLLN A and AE data, stroke count data are provided as ASCII text
format files and include a date and timestamp to the nearest microsecond,
latitude and longitude in decimal degrees (WGS84), an estimate of the
geolocation uncertainty, and the number of WWLLN stations that were used to
determine the stroke location. The postprocessed AE files further contain
additional data columns containing rms energy (<inline-formula><mml:math id="M13" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>) and energy uncertainty
(energy error of the fit in <inline-formula><mml:math id="M14" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>). Raw WWLLN data are proprietary and cost USD 600
per year of data at the time of writing. After purchasing the data, we
downloaded both A and AE files from servers hosted at the University of
Washington.</p>
      <p id="d1e388">In addition to the raw stroke counts described above, WWLLN provides gridded
maps of relative detection efficiency to accompany the AE data. The relative
detection efficiency maps “account for changes in the ionosphere and the
operational status of stations and thus allow for adjustment of the measured
lightning density as though WWLLN had uniform global detection efficiency”
<xref ref-type="bibr" rid="bib1.bibx64" id="altparen.29"/>. These detection efficiency maps (hereafter deMap) are
free to download (<uri>http://wwlln.net/deMaps</uri>, last access: 5 July 2021). The deMap data are provided as global raster files with
1<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial and hourly temporal resolution. The theory behind, and
methodology for, generating the DE maps is described in detail by
<xref ref-type="bibr" rid="bib1.bibx32" id="text.30"/>.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Gridding and adjustment for detection efficiency</title>
      <p id="d1e417">Our methodology for developing the WGLC gridded lightning datasets includes
several steps for quality assurance and adjustment for relative detection
efficiency. The workflow is shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. In summary, (1) raw WWLLN
lightning stroke count data are  gridded to the target spatial resolution
with hourly temporal resolution; (2) cells with fewer than two strokes per hour
are removed as they are considered to be noise (Robert Holzworth, personal communication, May 2019); (3) filtered stroke
count data are divided by grid area to calculate the lightning density in each
grid; (4) hourly 1<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> deMaps are remapped with bilinear interpolation to
the target grid resolution, and the hourly stroke density is divided by
detection efficiency to produce an adjusted lightning density field. With
perfect relative detection efficiency, the adjusted lightning density remains the same
as the original, while when detection efficiency <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, the resulting stroke
density is increased by the reciprocal of the efficiency estimate. (5) The
resulting global gridded lightning density fields is aggregated into daily,
monthly, and annual means.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e443">Flowchart of the WGLC gridding and detection efficiency adjustment process.</p></caption>
            <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f01.png"/>

          </fig>

      <p id="d1e452">To evaluate the evolution of the WWLLN over time, we produced a global
0.5<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> gridded time series based on the “A” data from the beginning of
the first full year of WWLLN<?pagebreak page3222?> observations in 2005 to 2018. Because the
relative detection efficiency fields and “AE” data are only available
starting in 2010, the final version of our gridded lightning density dataset,
i.e., the WGLC, covers the period 2010–2020. Below, we show a time series of
global lightning totals using the “A” data for the period 2005–2018 to
illustrate the differences between the “A” and “AE” data in the
overlapping interval but consider the postprocessed “AE” to be higher
quality and therefore distribute datasets only based on “AE” stroke
counts. We produced global gridded maps of lightning stroke density at daily
and monthly temporal and two spatial resolutions (0.5<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and
5 arcmin). The gridded maps are distributed as both daily and monthly
time series for the period 2010–2020 and as a climatological mean over that
11-year period.</p>
      <p id="d1e474">The WWLLN is capable of not only detecting lightning stroke occurrence but
also making an estimate of the energy released by each stroke <xref ref-type="bibr" rid="bib1.bibx30" id="paren.31"><named-content content-type="pre">for a
detailed discussion see,</named-content></xref>. We used the individual energy-per-stroke
estimate reported as part of the WWLLN AE data to produce gridded maps of
stroke power. Following Hutchins et al. <xref ref-type="bibr" rid="bib1.bibx32" id="paren.32"/>, we convert stroke energy
(<inline-formula><mml:math id="M20" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>) to power (MW) using

                  <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M21" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>WWLLN</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</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">6</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1676</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>E</mml:mi><mml:mn mathvariant="normal">0.00133</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M22" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> is the stroke energy (<inline-formula><mml:math id="M23" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>) reported by WWLLN and 0.00133
(1.3 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow></mml:math></inline-formula>) is the triggering window for the time-integrated electric
field of the WWLLN detector. The resulting gridded fields of stroke power are
not subject to any adjustment for detection efficiency or filtering of single
strokes so that we could compare them directly with independent observations
of stroke power. In the WGLC gridded datasets, we provide the mean, median,
and standard deviation of stroke power for each grid cell at monthly
resolution.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Comparison with independent observations of lightning occurrence</title>
      <p id="d1e563">To place the WGLC in the context of other widely used lightning data, we
compared our gridded fields with two datasets based on ground-based detection
networks and one from spaceborne remote sensing. We used raw stroke count data
from the Alaska Lightning Detection Network <xref ref-type="bibr" rid="bib1.bibx24" id="paren.33"><named-content content-type="pre">ALDN;</named-content></xref> for the
years 2012–2019 and a gridded product based on the US National Lightning
Detection Network <xref ref-type="bibr" rid="bib1.bibx46" id="paren.34"><named-content content-type="pre">NLDN;</named-content></xref> for 2010–2014. We gridded the WWLLN
data on to a 10 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> Lambert azimuthal equal-area grid for comparison
with the ALDN and on to an approximately 12 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> Lambert conformal conic projection
for comparison with NLDN. Workflows for the process of gridding the WWLLN data
for these comparisons are shown in Figs. S2 and S3 in the Supplement.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>ALDN data</title>
      <p id="d1e599">Comparisons with regional ground-based detection networks can help
understanding of the capabilities of WWLLN, as regional detection networks
have higher precision and may detect more strokes than WWLLN, at least
locally. The Alaska Lightning Detection Network was originally developed in
the 1970s and has been upgraded multiple times over the intervening
years. Studies have shown that the detection efficiency of the ALDN increased
from 40 %–80 % to 80 %–90 % after sensors were upgraded to
Vaisala Impact ES sensors in 2012 <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx21" id="paren.35"/>. A further upgrade to a
completely new set of time-of-arrival sensors (operated by TOA Systems, Inc.)
was made after 2012 <xref ref-type="bibr" rid="bib1.bibx7" id="paren.36"/>.</p>
      <?pagebreak page3223?><p id="d1e608">ALDN lightning data are distributed by the Alaska Interagency Coordination
Center (AICC;
<uri>https://fire.ak.blm.gov/predsvcs/maps.php</uri>, last access: 5 July 2021) and is one of the only completely unrestricted, open-access
ground-based lightning datasets currently available. ALDN historical data are
free to download and contain timestamped, georeferenced reports of
cloud-to-cloud and cloud-to-ground lightning stroke count over the central
part of Alaska. Far southwestern Alaska, the Aleutian Islands, and the
southeastern “Alaskan Panhandle” are not covered by the ALDN network. We
downloaded daily lightning stroke counts from the ALDN historical lightning
dataset <xref ref-type="bibr" rid="bib1.bibx2" id="paren.37"/> from the beginning of the period for which the TOA-based
sensor network was operational (2012–2019). We projected the ALDN stroke
counts to a Lambert azimuthal equal-area projection with projection center
50<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 154<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, and gridded to these at 10 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>
resolution on a raster with corner coordinates of 72<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 170<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, and
51<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 129<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W (NW–SE). We gridded the WWLLN lightning counts
with the same map projection, boundary, and resolution. To process the WWLLN
detection efficiency adjustment, we remapped the hourly deMaps with bilinear
interpolation to the same 10 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> grid for Alaska. Because the ALDN was
not designed to detect lightning strokes over the oceans, we restricted our
comparison to land areas only by using a 10 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> land mask based on the
NaturalEarth coastline dataset
(<uri>https://www.naturalearthdata.com</uri>, last access: 5 July 2021). Additionally, because the ALDN
provides a measurement of stroke energy in terms of peak current (amperes), we
compared these estimates with stroke energy estimates from WWLLN. Following
Hutchins et al. <xref ref-type="bibr" rid="bib1.bibx33" id="paren.38"/>, we converted energy estimates from both datasets
into common units of power (megawatts; MW) and gridded both data sources onto
the Alaska equal-area grid described above.  To convert ALDN peak current in
kA to MW, we used the relationship

                  <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M36" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>P</mml:mi><mml:mtext>ALDN</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</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">6</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1676</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>|</mml:mo><mml:msub><mml:mi>I</mml:mi><mml:mtext>peak</mml:mtext></mml:msub><mml:msup><mml:mo>|</mml:mo><mml:mn mathvariant="normal">1.62</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mtext>peak</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the peak current provided by ALDN
<xref ref-type="bibr" rid="bib1.bibx33" id="paren.39"><named-content content-type="post">Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/></named-content></xref>. For WWLLN, we converted stroke energy to MW as
described in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) above.</p>
      <p id="d1e768">With the stroke power in the same units, we segregated the WWLLN and ALDN
datasets into overlapping and non-overlapping categories based on geolocation
and timestamp. Strokes detected in the same grid cell and in the same hour were
considered to be overlapping. Power of every captured stroke has been
considered.  With this information, we determined the tendency for lightning
detected by ALDN but not present in the WWLLN data to be of relatively low
energy, i.e., to see if WWLLN captures the occurrence of the majority of
powerful lightning strokes, even if it cannot detect all strokes.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>NLDN data</title>
      <p id="d1e779">We further evaluated the WGLC with observation of lightning over the
conterminous United States from the NLDN. While the NLDN raw data are not generally freely available, the
Community Modelling and Analysis System (CMAS) has released a gridded
lightning density time series (2002–2014) based on the NLDN <xref ref-type="bibr" rid="bib1.bibx15" id="paren.40"/>. The
NLDN detects lightning strokes using a network of over 100 ground-based
electromagnetic sensors constructed and operated by Vaisala <xref ref-type="bibr" rid="bib1.bibx47" id="paren.41"/>. The
reported cloud-to-ground stroke detection efficiency of the NLDN is greater
than 95 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx17" id="paren.42"/>.  The CMAS gridded NLDN dataset contains
monthly mean cloud-to-ground flash rates
(<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for the
conterminous United States on the 12 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> Community Multi-scale Air Quality (CMAQ) Lambert conformal conic
grid (first standard parallel: 33<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; second standard parallel:
45<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N; projection center: 40<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 97<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W). For
comparison with WGLC, we projected and gridded the WWLLN AE lightning stroke
count data from 2010–2014 on the CMAQ grid described above. We applied the
WWLLN detection efficiency adjustment by remapping the deMaps on to the same
grid. Similarly to our processing of the ALDN data, we restricted the
comparison between WWLLN and NLDN to land areas by masking with a coastline
polygon. We compared WWLLN monthly mean lightning stroke density between the
two datasets.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Spaceborne remote sensing (LIS/OTD) data</title>
      <p id="d1e872">As third evaluation of WGLC, we compared the gridded data with the spaceborne
lightning flash dataset LIS/OTD 0.5<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> high-resolution monthly
climatology <xref ref-type="bibr" rid="bib1.bibx13" id="paren.43"><named-content content-type="pre">HRMC;</named-content></xref>. The HRMC climatology contains total
lightning flash rates captured by two lightning detection sensors: the OTD
on the Orbview-1 satellite and the LIS aboard the Tropical Rainfall Measuring Mission (TRMM)
satellite. The LIS/OTD climatology consists of monthly mean lightning flash
density (flashes per <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for the period 1995 to 2014 (for
the extratropics <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> data are only from 1995–2000). Because the
global LIS/OTD and WGLC do not cover the same periods, we use only
climatological monthly means from each dataset. For comparison with LIS/OTD,
we calculated the climatological mean of the WGLC for the period
2010–2020. Missing values in the LIS/OTD HRMC dataset were set to zero
density for our analyses. We calculated differences between the LIS/OTD and
WGLC climatologies and compared the spatial and temporal patterns.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Trend in the WWLLN data and selection of period for the WGLC</title>
      <p id="d1e944">The WWLLN was established in 2003 and released its first global dataset in
August 2004. The first complete year of WWLLN data is 2005. Figure <xref ref-type="fig" rid="Ch1.F2"/>
shows the time trend of global total lightning strokes observed by WWLLN from
2005–2020. During the first 10 years, the global number of lightning strokes
captured by WWLLN increases linearly from 35.7 million in 2005 to approximately 222
million in 2014 and remains stable in the range of 205 to 230 million strokes yr<inline-formula><mml:math id="M49" 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>
thereafter. The linear increase in stroke counts between 2005 and
2012 was caused by the build-out of the network with progressively more
stations located over more continents and oceanic regions over time, which
increased the network's overall detection efficiency <xref ref-type="bibr" rid="bib1.bibx30" id="paren.44"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e966">Total global lightning strokes from 2005 to 2020. WWLLN produces two sets of raw lightning discharge
data: A (A-raw) and AE (AE-raw). The A-DE and AE-DE curves are adjusted for the WWLLN-reported
detection efficiency. Detection efficiency and AE data were produced
starting in 2010. WWLLN “A” data (A-raw and A-DE) are shown for illustrative purposes and only up to 2018.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e977">Effects of the WGLC detection efficiency adjustment. The monthly zonal mean
differences between the detection efficiency-adjusted WGLC with unadjusted data are shown for
2010–2020. The WWLLN-reported detection efficiency adjustment has its greatest effect in the
tropics and Southern Hemisphere subtropics before 2014.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f03.png"/>

        </fig>

      <p id="d1e987">The WWLLN AE data, stroke energy estimates, and detection efficiency fields
were produced starting in 2010. The number of global lightning strokes in the
AE data (Fig. <xref ref-type="fig" rid="Ch1.F2"/>, green line) is very similar to the A data
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>, blue line), with the AE data having slightly higher stroke
counts in 2012 and the A data being slightly higher in 2016 and 2018. The
postprocessing of the A data to AE data has only a very limited effect on the
total number of lightning strokes detected by the WWLLN.</p>
      <p id="d1e994">As described above, we used the gridded, hourly WWLLN detection efficiency
fields to produce an adjustment to the gridded WGLC to account for the
reported detection efficiency. Using the WWLLN AE data and applying the
detection efficiency adjustment, the WGLC annual stroke sum increases by about
11 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> from 2010–2013 and by 2014 converges with the unadjusted data,
suggesting that the WWLLN detection efficiency reaches its maximum by this
time. The effect of the detection efficiency adjustment is shown in
Fig. <xref ref-type="fig" rid="Ch1.F3"/>. Most of the difference between the raw and adjusted data
takes place during peak thunderstorm season in the tropics, especially over
the Southern Hemisphere (30<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–15<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N). In some periods, the
difference between the original and adjusted WGLC data in stroke density
exceeds 0.035 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">strokes</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mon</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p><?xmltex \hack{\newpage}?><?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1053">Climatological mean annual lightning stroke density (2010–2020).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1064">High-resolution (5 arcmin) climatological mean annual lightning stroke density over northwestern South America and Central America.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f05.png"/>

        </fig>

</sec>
<?pagebreak page3224?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Spatial and temporal distribution of WGLC lightning density</title>
      <?pagebreak page3226?><p id="d1e1081">The WGLC global climatological mean (2010–2020) lightning density is shown in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>. The latitudinal distribution of lightning strokes is
apparent in the global map, with greatest density of lightning in the tropics,
on, and adjacent to, the landmasses. Hotspots of lightning are apparent in
Central America and northwestern South America, in the Mississippi Delta and
northern Gulf of Mexico, off the Atlantic coast of the southeastern United
States, in the easternmost Congo Basin just to the west of Lake Kivu, and over
the Strait of Malacca, the island of Java, and in northwestern
Australia. Consistent with previous observations, the greatest recorded
climatological mean stroke density of 36 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">strokes</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is
located around Lake Maracaibo in northern Venezuela <xref ref-type="bibr" rid="bib1.bibx12" id="paren.45"/>. In contrast,
extremely little to no lightning at all is observed in the polar regions, on
the western sides of the subtropical gyres of the South Atlantic, southeast
Pacific, and Indian oceans, along the Equator in the eastern Pacific, and in
the hyperarid desert regions of the eastern Sahara, central Asia, and southern
Patagonia. In much of the temperate regions of the world, intermediate
lightning densities are visible (1–3 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">strokes</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), with
well-known regions of high lightning occurrence in the southern Great Plains
of North America, along the southeast coast of China, and in the Adriatic Sea
and eastern Mediterranean. Lightning is apparent throughout the boreal forest
regions of North America and Eurasia, although with low densities (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">strokes</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), particularly in Alaska and eastern
Siberia. The geographical distribution of stroke density is in generally
consistent with the global WWLLN lightning distribution maps presented by
<xref ref-type="bibr" rid="bib1.bibx67" id="text.46"/> (Fig. 2b), which were based over a shorter period.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1183">High-resolution (5 arcmin) climatological mean annual lightning stroke density over equatorial southeast Asia and the western Pacific.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f06.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1194">Climatological monthly mean global lightning stroke density (2010–2020).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f07.png"/>

        </fig>

      <p id="d1e1204">The 5 arcmin (approximately 10 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) version of the WGLC allows us to have a
clearer picture of the relationship between lightning strokes and topography
and land–ocean contrasts. Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the climatological mean
lightning over northwestern South America and Central America. The greatest
densities of lightning, frequently over 10 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">strokes</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
are found in the coastal ocean and at lower elevations on land; higher terrain
in the Andes and along the mountain spine of Central America have 1–2 orders
of magnitude lower density of lightning strokes. In addition to those regions
mentioned above, a hotspot for lightning is found in the Chocó region of
western Colombia, a region that is known for the perennial formation of
mesoscale convective complexes that lead to some of the greatest annual
rainfall recorded on Earth <xref ref-type="bibr" rid="bib1.bibx53" id="paren.47"/>. In Fig. <xref ref-type="fig" rid="Ch1.F6"/>, we show the
climatological mean lightning at 5 arcmin resolution for equatorial
southeast Asia and the western Pacific. On this map, the greatest density of
lightning is apparent in the Strait of Malacca and in adjacent parts of
peninsular Malaysia, on the western part of the island of Java, central
Sulawesi, on the northern and southern slopes of the New Guinea ranges, on the
Melanesian islands of the Bismarck Archipelago and Bougainville, and in
coastal northwestern Australia. The land–sea contrast is apparent throughout
this region, with lightning density alternately greater over nearshore land
(Australia, Java) or over the adjacent sea (Sumatra, Malacca). Similarly to
South and Central America, the cores of the major mountain ranges on New
Guinea, Sulawesi, Borneo, and Sumatra show less lightning than surrounding
areas, indicative of how deep convection is inhibited over the highest terrain
<xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx51" id="paren.48"/>.</p>
      <p id="d1e1252">Figure <xref ref-type="fig" rid="Ch1.F7"/> shows the climatological mean seasonal cycle of
lightning. Inspection of these maps shows the distinct seasonal pattern of
lightning density over both land and the oceans following the summer
hemisphere and the migration of the Intertropical Convergence Zone (ITCZ). Few
parts of the world are subject to thunderstorms perennially. Peak lightning
density is in the tropics and clearly follows the seasonal migration of the
ITCZ with generally higher density over land than the oceans, consistent with
similar observations of deep convection <xref ref-type="bibr" rid="bib1.bibx31" id="paren.49"/>. In the extratropical
Northern Hemisphere, almost no lightning is observed on land during the winter
months and reaches a peak in central North America in May, in Alaska in June, and
in much of boreal North America and Eurasia in July. In the Mediterranean,
lightning over water is common during the winter months, while in the summer
the locus of lightning shifts to the land. In the Southern Hemisphere
extratropics, lightning is most common in the summer months of
December–February.</p>
      <p id="d1e1260">In a few regions of the world, moderately high lightning density (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">strokes</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mon</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) occurs year round (Fig. S4 in the
Supplement). These locations include subtropical eastern South America
(Brazil–Paraguay–Argentina southwest of Iguazú Falls),
northeasternmost South America (Colombia–Venezuela), the northern Gulf of
Mexico and adjacent Mississippi Delta, the westernmost North Atlantic
(25–38<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), the central Congo Basin, the Strait of Malacca and
adjacent Malaysia and Sumatra, northeastern Borneo, and northern New Guinea
and the Bismarck Archipelago.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1310">Zonal mean lightning stroke density anomalies (monthly value relative to the climatological monthly mean from 2010–2020).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f08.png"/>

        </fig>

      <p id="d1e1319">Because the WGLC consists of a time series of monthly lightning density from
2010–2020, we can also examine the interannual variability in lightning over
time. Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the zonal pattern of monthly lightning density
subtracted by the climatological mean, i.e., the deseasonalized anomaly, for
2010–2020. While some of the patterns may be related to the increase in
detection efficiency of the WWLLN over time (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>), several
patterns are clearly apparent in this analysis. These include increasing
lightning in the midlatitudes and high latitudes of the Northern Hemisphere, and
periods of enhanced lightning around the Equator between 2012–2014 and
2018–2019, and in the Southern Hemisphere extratropics between 2012 and
2016. There is clearly less lightning that the climatological mean in the
Southern Hemisphere extratropics from 2017–2020. Analysis of annual lightning
maps (Fig. S5 in the Supplement) shows greater than average lightning density
in South America and the southwest Atlantic Ocean from 2014 to 2016. In
western and central Africa, lightning density was particularly high in 2013,
while in the Mississippi Delta and southern Great Plains, lightning density
was greatest in 2019.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Lightning stroke power</title>
      <p id="d1e1334">As noted in earlier studies <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx34" id="paren.50"/>, the global distribution of
lightning stroke power bears little resemblance to stroke density. In
Fig. <xref ref-type="fig" rid="Ch1.F9"/>, we show the annual climatological mean (2010–2020) median
power per stroke. Regions with greatest stroke power are concentrated over the
oceans, in particular over the northeast Atlantic, Norwegian Sea, and northern
North Sea, in the Gulf of Alaska, and in the Southern Ocean between 45 and
60<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, especially in the Pacific. Areas of high lightning density,
e.g., in central North America, and across the tropics, have relatively low
per-stroke power. Comparison of median stroke power with the mean (Fig. S6 in
the Supplement) shows that a few additional regions are characterized by rare,
very powerful strokes, including the western margin of the tropical Indian
Ocean and eastern Siberia. The monthly time series of global stroke power is
shown in Fig. <xref ref-type="fig" rid="Ch1.F10"/>. Median stroke power shows substantial seasonal and
interannual variability as previously reported. Generally, the season with
greatest per-stroke energy is in Northern Hemisphere winter, although the
seasonal cycle does not appear to be entirely stationary. Interannual
variability shows a remarkable maximum during<?pagebreak page3227?> between March and December 2013,
with median stroke power nearly 3 times the decadal mean. Following this
peak, there is a near-continuous decrease in median stroke power to the end of
2020.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1355">Climatological annual mean of the median lightning power per stroke.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1366">Time series of global median lightning stroke power.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f10.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Comparison of WGLC with the ALDN</title>
      <p id="d1e1383">Figure <xref ref-type="fig" rid="Ch1.F11"/> shows the time series of mean lightning stroke density over
Alaska for the WGLC and ALDN. While both datasets show similar seasonal
patterns with greatest lightning density in May and June, WGLC captures only
about 15 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the lightning density observed by ALDN during the peak
summer season. The spatial differences between WGLC and ALDN are presented in
Fig. S7. In general, lightning density in WGLC is lower than ALDN throughout
the central part of Alaska, with the greatest differences clustered in the
central Alaskan lowlands between the Alaska and Brooks ranges. On the other
hand, ALDN shows somewhat lower lightning density than WGLC in coastal
Alaska. The spatial structure of the differences between the datasets shows
clear spatial clustering, with restricted areas of high anomaly. The largest
differences between the datasets are observed in years with the greatest
amount of lightning observed by ALDN (2015–2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1398">Time series of monthly mean lightning density over Alaska. Alaska Lightning Detection Network (black line: ALDN cloud-to-ground strokes) and WGLC (red line). Both datasets were gridded on the same 10 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> equal-area grid.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e1417">Time series of median power per stroke over Alaska.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f12.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e1429">Lightning stroke power where strokes were present in both ALDN and WGLC datasets
compared to those that were only present in the ALDN data. Lightning stokes present in both
datasets tend to have greater power. Lightning strokes “missing” from the WGLC tend to be the weaker lightning strokes.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f13.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e1440">Time series of monthly mean lightning density of NLDN (black line) and WGLC (red line) over the conterminous United States.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f14.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e1451">Difference between climatological annual mean lightning density in LIS/OTD
(1995–2014) and WGLC (2010–2019).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3219/2021/essd-13-3219-2021-f15.png"/>

        </fig>

      <p id="d1e1460">In Fig. <xref ref-type="fig" rid="Ch1.F12"/>, we show the time series of lightning stroke power
detected by ALDN and WGLC. In contrast to lightning density, WGLC detects
substantially more total radiated energy than the ALDN during most years, with
the exception of 2014 and 2019. To evaluate whether the WGLC detects the
majority of the powerful lightning strokes, despite the fact that it detects
fewer strokes than ALDN, we compared the sum of the power of lightning strokes
present in both datasets vs. those that were only present in ALDN. We
considered strokes to be overlapping if they were detected in the same
10 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> grid cell in the same hour in both datasets. Figure 13 shows that
the strokes detected in both datasets have significantly greater power (min
0.00040, median 3.02180, max 494.81290) than those that are missing from WGLC
(min 0.00024, median 0.80569, max 189.90781), which implies that the lightning
that WGLC is not detecting is predominantly comprised of low-energy strokes.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Comparison of the WGLC with NLDN</title>
      <?pagebreak page3229?><p id="d1e1482">Figure <xref ref-type="fig" rid="Ch1.F14"/> shows the time series of WGLC and NLDN data for the period
common to both datasets (2010–2014). Similar to the comparison for Alaska,
the seasonal cycle is very similar in both datasets, but NLDN contains greater
lightning density during the peak lightning season. Peak summertime lightning
density in WGLC is about 40 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the amount reported by NLDN. In
contrast, a comparison of monthly total stroke counts in NLDN vs. WGLC for
2013 shows that WGLC generally records greater lightning density than NLDN
outside of the peak season, with 1.8 times more lightning in April and October
and 3.4 times in January (Fig. S8 in the Supplement). Comparison between WGLC
and NLDN in map form (Fig. S9 in the Supplement) shows that the spatial
pattern of the differences between the datasets have similar clustering as
those for Alaska, where it appears that particularly intense thunderstorms
with high lightning density in NLDN are not clearly detected by WGLC. There
does not appear to be an overall spatial bias to the difference between
datasets; i.e., the area of greatest anomaly shifts from year to year. In
2010, for example, greatest differences are seen in Florida, along the
southeast Atlantic coast, and in the middle Mississippi Valley, while in 2013
the differences are largest in the central Great Plains. In contrast, WGLC
shows greater lightning density than NLDN along the Gulf Coast and in southern
Texas; this difference is most apparent in 2012.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Comparison of the WGLC with LIS/OTD</title>
      <p id="d1e1503">Because the global lightning dataset that has been most widely used by Earth
system modelers is LIS/OTD, it is instructive to compare the patterns of
lightning in that dataset with WGLC, even though the periods of record are not
overlapping and the lightning phenomenon observed, i.e., strokes in WGLC
vs. flashes in LIS/OTD, is different. In Fig. <xref ref-type="fig" rid="Ch1.F15"/>, we show the
differences in climatological mean annual lightning density between the two
datasets. It is clear that LIS/OTD captures more lightning than WGLC,
particularly over land. Consistent with the comparisons for Alaska and the
conterminous United States, the differences between LIS/OTD and WGLC are
largest in areas with greatest overall lightning density, in the tropics and
humid subtropics. The area of greatest difference between the datasets is in
the eastern Congo Basin, although this is also a hotspot for lightning in WGLC
(see Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Other regions where WGLC has lower lightning than
LIS/OTD are in the Western High Plateau of Cameroon, the northeastern
Himalaya, and<?pagebreak page3230?> northwestern South America. In the boreal Northern Hemisphere
and over the oceans, the differences between the datasets are smaller, and in
the eastern Pacific, WGLC has somewhat greater lightning density than
LIS/OTD. The seasonal difference between the two datasets is shown as zonal
means in Fig. S10 in the Supplement. The temporal pattern of greatest anomaly
follows the seasonal location of peak lightning density, with the largest
differences just north of the Equator in May and June, just south of the
Equator from September to December, and in the northern midlatitudes in July
and August.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e1519">While the earliest years of the WWLLN data show a strong increase in the
number of lightning strokes detected over time, by 2014, total global
lightning detected by the network stabilizes around approximately 210 million strokes
<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Using an adjustment for WWLLN's reported detection efficiency,
the gridded lightning time series and climatology can arguably be extended back
to 2010 or at least to 2012. The gridded version of the WWLLN data that we
present here, i.e., the WGLC, thus covers the period 2010–2020 as a
time series and as a climatological mean over that period. We choose to use as
much of the data as possible in generating our climatology as there are places
where lightning is rare, e.g., in the Arctic or over the oceans, that benefit
from the extra years of observation when building the climatology, because
even some positive lightning density, however small, is more realistic than
zero values. Nevertheless, even with the adjustment for detection efficiency,
the years 2010–2012 in the WGLC should be treated with caution, as<?pagebreak page3231?> they
represent global and regional stroke counts that are lower than the mean over
subsequent years, suggesting that the ongoing build-out of the sensor network
continued to affect detection efficiency over this period. As more years of
data are incorporated into the WGLC in the future, it may be preferable to
exclude these early years from the climatological mean.</p>
      <p id="d1e1536">While the spatial pattern of lightning in the WGLC looks similar to other
analyses of global lightning made with WWLLN and other sensors over the past
decades, the temporal pattern of showed noteworthy variability over the second
decade of the 21st century. The WGLC record is remarkable for a period of high
lightning density in the tropics and Southern Hemisphere from 2012–2015 and
increasing lightning in the midlatitudes of the Northern Hemisphere from
2018–2020. Furthermore, there is a noticeable decline in median stroke power
after 2013, which reached a decadal minimum in late 2020. These changes in
lightning occurrence may be related to interannual climate variability.</p>
      <p id="d1e1539"><xref ref-type="bibr" rid="bib1.bibx43" id="text.51"/> summarized several cyclical climate drivers that have been
hypothesized to influence lightning occurrence, including the El Niño–Southern Oscillation (ENSO), the solar
cycle, and the stratospheric Quasi-Biennial Oscillation (QBO) (see
Figs. S11–S13 in the Supplement). Similar to their analysis that used LIS/OTD
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.52"/>, we do not see any evidence of a global-scale relationship
between WGLC lightning density and the multivariate ENSO index, total solar
irradiance, or the QBO. On the other hand, it appears that stroke energy may
be correlated with the solar cycle. Total solar irradiance reached a maximum in
2014–2015 and declined to a minimum in 2019, similar to, though not
completely in phase with, the stroke power time series. Although there are
plausible physical mechanisms in the solar flux that could influence
atmospheric electricity <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx50 bib1.bibx61" id="paren.53"/>, a longer time series of
lightning energy observations would be necessary to confirm this relationship.</p>
      <?pagebreak page3232?><p id="d1e1550">The global maps that form the WGLC are currently distributed at daily and
monthly temporal resolution and 0.5<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 5 arcmin resolution. In
principle, it would also be possible to distribute the WGLC on even
finer-resolution grids, subject to the 3.4 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> mean uncertainty in the WWLLN
geolocation accuracy <xref ref-type="bibr" rid="bib1.bibx55" id="paren.54"/>. As has been shown previously <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx69" id="paren.55"/>, it would also be possible to generate WGLC grids at higher temporal
resolution, such as hourly. However, the resulting data files would become very
large, and with daily to monthly resolution the current standard for most
global gridded climate datasets <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx44 bib1.bibx71 bib1.bibx59 bib1.bibx62 bib1.bibx37" id="paren.56"><named-content content-type="pre">e.g.,</named-content></xref>, the current version of the WGLC may be applied in a
range of uses in the community in its current form.</p>
      <p id="d1e1582">A recurrent characteristic of the comparison of the WGLC with independent
observations of lightning from ground-based and spaceborne sensors shows that
WGLC detects substantially less lightning during peak seasons and episodes. It
appears that, particularly in the early years of WWLLN, the network tended to
be saturated at high lightning densities, a characteristic that was reported
previously <xref ref-type="bibr" rid="bib1.bibx67" id="paren.57"/>. This saturation of the sensor network means that, in
some places and times, that the effective detection efficiency of WWLLN may be
40 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> or less. On the other hand, WGLC appears to be better than other
sensors at detecting lightning when lightning is rare, e.g., during cold
seasons or in places with low overall density. Ground-based sensor networks
such as ALDN and NLDN do not detect as much lightning as WGLC in coastal areas
or in areas far away from the sensors. This means that the VLF technology
behind WWLLN may be appropriate for producing an overall, globally consistent
picture of lightning that is not influenced by sensor proximity, but that
periods of intense lightning will be underestimated by the network.</p>
      <?pagebreak page3233?><p id="d1e1596">Furthermore, our analysis of the WGLC in comparison with the ALDN shows that
while WGLC detects as few as 85 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> fewer lightning strokes during the
peak season in Alaska, those strokes it does detect tend to be the more
powerful ones. WGLC is therefore “missing” mainly the weaker lightning
strokes. <xref ref-type="bibr" rid="bib1.bibx56" id="text.58"/> showed that, through comparison with New Zealand
Lightning Detection Network data, the detection efficiency of WWLLN for
powerful lightning strokes (strokes <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> kA peak current) increases to about
80 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. Global analysis of WWLLN data concluded that the detection
efficiency of the network is 60 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–80 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for
high-amplitude strokes <xref ref-type="bibr" rid="bib1.bibx30" id="paren.59"/>. Thus, while not capturing all strokes,
the WGLC may still be useful in understanding when, where, and how much of the
most hazardous lightning occurs, i.e., that which may be more likely to ignite
wildfires or damage infrastructure, for example.</p>
      <p id="d1e1648">As the most widely used global gridded lightning dataset among Earth system
scientists, it is worth comparing the LIS/OTD time series and climatology
<xref ref-type="bibr" rid="bib1.bibx14" id="paren.60"/> with WGLC. Because LIS/OTD is based on optical sensors on
satellites in low Earth orbit to detect lightning flashes, compared with
WGLC's network of ground-based VLF receivers, we expect the dataset to be
different from WGLC. Our analysis shows that WGLC captures on average
10 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> lightning strokes recorded by LIS/OTD on land, with notable
differences in the Congo Basin and northwestern Himalaya <xref ref-type="bibr" rid="bib1.bibx3" id="paren.61"/>. Over
the oceans, the comparison is more favorable, with WGLC capturing an average of
33 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the flashes in LIS/OTD. In some oceanic areas, WGLC has a
greater annual mean lightning density than LIS/OTD (Fig. <xref ref-type="fig" rid="Ch1.F15"/>).</p>
      <p id="d1e1675">In an earlier comparison between LIS/OTD and WWLLN, <xref ref-type="bibr" rid="bib1.bibx57" id="text.62"/> showed that
lightning flashes detected by LIS/OTD could be composed of multiple lightning
strokes. They found that, on average, WWLLN captured 1.5 strokes for each
LIS/OTD flash, although 71.5 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the WWLLN-matched LIS/OTD flashes
were from a single lightning stroke. Because WGLC nearly always has lower
lightning density than LIS/OTD, and because a single LIS/OTD flash may be
comprised of multiple lightning strokes, the detection efficiency of WWLLN may
be even lower than might be assumed based on a simple comparison of the two
datasets. Our simple comparison shows that WGLC is about 3 times more
likely to detect LIS/OTD flashes over ocean (33 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) than over land
(10 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>).  Accounting for the mean multiple-stroke-per-flash
discrepancy of 1.5 implies that WGLC's implied detection efficiency using
LIS/OTD as a standard would be 22 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> over ocean and 6.6 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> on
land, which is in line with the 17.3 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> over ocean and 6.4 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>
over land reported previously <xref ref-type="bibr" rid="bib1.bibx57" id="paren.63"/>.</p>
      <p id="d1e1741">Based on our comparisons of WGLC with ALDN and NLDN, we ascribe the
differences in lightning density between WGLC and LIS/OTD to (1) the known
behavior for WWLLN to saturate at high lightning densities <xref ref-type="bibr" rid="bib1.bibx67" id="paren.64"/>, (2)
LIS/OTD capturing more weak cloud-to-cloud lightning activity <xref ref-type="bibr" rid="bib1.bibx14" id="paren.65"/>,
particularly near cloud tops, that would not necessarily be detected by WWLLN,
as shown in our analysis for Alaska, and (3) LIS/OTD being subject to a
number of postprocessing steps and adjustments for detection efficiency that
add uncertainty to the final data product.</p>
      <p id="d1e1750">Nevertheless, from all of the comparisons between WGLC and other datasets, it
is clear that WGLC has less lightning than independent observations. However,
this does not mean that the WGLC is not useful. Other datasets either cover
only a limited period, have limited spatial coverage or resolution, are not
free, or all of the above. WGLC, in contrast, is based on a single methodology
from a global sensor network (WWLLN) that has continuously observed lightning
since 2005. The WGLC will be updated annually, which makes it valuable for
understanding changes in lightning over time and how climate change is
affecting lightning frequency and distribution. Furthermore, WGLC is the only
free source that can provide data on lightning at any nearly any spatial and
temporal resolution, limited only by the properties of the sensor network,
i.e., milliseconds in time and approximately 3.4 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in space. Finally, WGLC
provides stroke energy estimates as well as lightning location. The WGLC may
therefore be a valuable tool for a range of research applications.</p>
      <p id="d1e1762">Among the applications for which the WGLC may be suitable, a few that stand
out include modeling global wildfire and atmospheric chemistry, and risk and
hazard assessment, particularly in regions of the world where no other
lightning detection networks exist. Because the WGLC is a homogeneous global
dataset, it is possible to directly compare lightning observations between
locations without the inter-network calibration that would be required to
analyze data from different regional networks perhaps using different
technologies. WGLC will be particularly useful for understanding the patterns
of natural, i.e., non-human-caused, wildfire ignitions in remote locations
such as boreal and tropical forests and in areas of the developing world
currently undergoing rapid land use change. WGLC may also be useful in
parameterizing atmospheric chemistry models to estimate lightning NO<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
production <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx10 bib1.bibx43" id="paren.66"><named-content content-type="pre">e.g.,</named-content></xref> and to better understand the
relationship between extraterrestrial radiation and atmospheric electricity
<xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx50" id="paren.67"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d1e1784">WGLC may be a useful tool for assessing lightning hazards to persons and
property <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx72" id="paren.68"><named-content content-type="pre">e.g.,</named-content></xref>. While the WGLC geolocation accuracy is
probably too low to identify individual buildings or other types of
infrastructure, WGLC may be used in a probabilistic way to understand
seasonal, diurnal, and climatological lightning patterns. This capability of
the WGLC will be particularly useful in regions of the world that are not
currently served by high-sensitivity regional lightning detection networks,
including much of the developing world and oceanic areas. For example, WGLC's
generally high detection efficiency over the oceans may make it particularly
useful for assessing lightning risks to shipping in open-ocean
regions. Finally, as a completely free, open-access dataset, the WGLC can
serve researchers, governments, NGOs, and communities that do not have
resources to purchase commercial lightning data.</p>
</sec>
<?pagebreak page3234?><sec id="Ch1.S5">
  <label>5</label><title>Data availability</title>
      <p id="d1e1801">The WGLC gridded lightning density and power fields are
distributed as a time series at daily and monthly resolution and as a
climatological monthly mean. The data are stored in NetCDF format and are
archived with Zenodo <xref ref-type="bibr" rid="bib1.bibx35" id="paren.69"><named-content content-type="post"><ext-link xlink:href="https://doi.org/10.5281/zenodo.4774528" ext-link-type="DOI">10.5281/zenodo.4774528</ext-link></named-content></xref>.</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Code availability</title>
      <p id="d1e1818">The code used for gridding the raw stroke counts and
progressive updates to the gridded data are archived at
<uri>https://github.com/ARVE-Research/WGLC</uri> <xref ref-type="bibr" rid="bib1.bibx36" id="paren.70"/>.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e1835">Since its inception in 2005, the WWLLN has grown to the point where the
network is capable of producing a globally consistent, spatially resolved
picture of lightning activity over land and the oceans. These raw data,
gridded, adjusted for detection efficiency, and continuously updated over
time, form the WGLC <xref ref-type="bibr" rid="bib1.bibx35" id="paren.71"/>. With more than a decade of
reliable data on stroke density and power in the dataset, we can now start to
investigate changes in the spatiotemporal pattern of lightning. Lightning
strokes appear to show important variability on interannual timescales, and
while these patterns may be attributable to interannual climate variability,
they require further study to clearly identify the drivers.  The WGLC is
distributed for free online in two standard spatial resolutions (0.5<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
and 5 arcmin) and with daily and monthly temporal resolution. Other versions of the
WGLC could be prepared in response to community demand. While the WGLC does
not capture every lightning stroke and appears to underestimate stroke
density at peak periods, it represents a unique, open-access global gridded
lightning climatology and time series that may be a valuable tool for
researchers in a range of fields including wildfire ignitions, atmospheric
chemistry, and assessment of lightning risks to humans, animals, and
infrastructure.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d1e1849">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-13-3219-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-13-3219-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1860">JOK conceived the datasets, developed the gridding process, and oversaw the evaluation.
KHKL performed the data preprocessing and gridding, and prepared the visualizations. Both authors contributed to writing the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1866">The authors declare that they have no competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1872">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1878">We thank Bob Holzworth for helping us understand the properties and
limitations of the WWLLN and Abe Jacobson, James Brundell, and Michael
McCarthy for their comments on a draft of the paper. We thank Cathy Whitlock for supporting the initial purchase of the WWLLN raw data used to develop the WGLC.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1883">This research has been supported by the United States National Science Foundation (grant no. 1461590).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1890">This paper was edited by David Carlson and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><?xmltex \def\ref@label{Abarca et~al.(2010)}?><label>Abarca et al.(2010)</label><?label RN32?><mixed-citation>Abarca, S. F., Corbosiero, K. L., and Galarneau, T. J.: An evaluation of the Worldwide Lightning Location Network (WWLLN) using the National Lightning Detection Network (NLDN) as ground truth, J. Geophys. Res., 115, D18206, <ext-link xlink:href="https://doi.org/10.1029/2009jd013411" ext-link-type="DOI">10.1029/2009jd013411</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx2"><?xmltex \def\ref@label{{Alaska Interagency Coordination Center}(2021)}?><label>Alaska Interagency Coordination Center(2021)</label><?label RN40?><mixed-citation>Alaska Interagency Coordination Center: Historical Lightning as txt, available at: <uri>https://fire.ak.blm.gov/content/maps/aicc/Data/Data (zipped Text Files)/Historical_Lightning_as_txt.zip</uri>, last access: 5 July 2021.</mixed-citation></ref>
      <ref id="bib1.bibx3"><?xmltex \def\ref@label{Albrecht et~al.(2016)}?><label>Albrecht et al.(2016)</label><?label RN58?><mixed-citation>Albrecht, R. I., Goodman, S. J., Buechler, D. E., Blakeslee, R. J., and Christian, H. J.: Where Are the Lightning Hotspots on Earth?, B. Am. Meteorol. Soc., 97, 2051–2068,  <ext-link xlink:href="https://doi.org/10.1175/bams-d-14-00193.1" ext-link-type="DOI">10.1175/bams-d-14-00193.1</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx4"><?xmltex \def\ref@label{Allen et~al.(2019)}?><label>Allen et al.(2019)</label><?label RN59?><mixed-citation>Allen, D. J., Pickering, K. E., Bucsela, E., Krotkov, N., and Holzworth, R.: Lightning NO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> Production in the Tropics as Determined Using OMI <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Retrievals and WWLLN Stroke Data, J. Geophys. Res.-Atmos., 124, 13498–13518,  <ext-link xlink:href="https://doi.org/10.1029/2018jd029824" ext-link-type="DOI">10.1029/2018jd029824</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx5"><?xmltex \def\ref@label{Ammar and Ghalila(2020)}?><label>Ammar and Ghalila(2020)</label><?label RN26?><mixed-citation>Ammar, A. and Ghalila, H.: Estimation of nighttime ionospheric D-region parameters using tweek atmospherics observed for the first time in the North African region, Adv. Space Res., 66, 2528–2536,  <ext-link xlink:href="https://doi.org/10.1016/j.asr.2020.08.025" ext-link-type="DOI">10.1016/j.asr.2020.08.025</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx6"><?xmltex \def\ref@label{Ashley and Gilson(2009)}?><label>Ashley and Gilson(2009)</label><?label RN5?><mixed-citation>Ashley, W. S. and Gilson, C. W.: A Reassessment of U. S. Lightning Mortality, B. Am. Meteorol. Soc., 90, 1501–1518,  <ext-link xlink:href="https://doi.org/10.1175/2009bams2765.1" ext-link-type="DOI">10.1175/2009bams2765.1</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx7"><?xmltex \def\ref@label{Bieniek et~al.(2020)}?><label>Bieniek et al.(2020)</label><?label RN38?><mixed-citation>Bieniek, P. A., Bhatt, U. S., York, A., Walsh, J. E., Lader, R., Strader, H., Ziel, R., Jandt, R. R., and Thoman, R. L.: Lightning Variability in Dynamically Downscaled Simulations of Alaska's Present and Future Summer Climate, J. Appl. Meteorol. Clim., 59, 1139–1152,  <ext-link xlink:href="https://doi.org/10.1175/Jamc-D-19-0209.1" ext-link-type="DOI">10.1175/Jamc-D-19-0209.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx8"><?xmltex \def\ref@label{Bovalo et~al.(2012)}?><label>Bovalo et al.(2012)</label><?label RN29?><mixed-citation>Bovalo, C., Barthe, C., and Bègue, N.: A lightning climatology of the South-West Indian Ocean, Nat. Hazards Earth Syst. Sci., 12, 2659–2670,  <ext-link xlink:href="https://doi.org/10.5194/nhess-12-2659-2012" ext-link-type="DOI">10.5194/nhess-12-2659-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx9"><?xmltex \def\ref@label{Brooks(1925)}?><label>Brooks(1925)</label><?label RN101?><mixed-citation>
Brooks, C. E. P.: The distribution of thunderstorms over the globe, Geophysical Memoirs, 3, 147–164, 1925.</mixed-citation></ref>
      <ref id="bib1.bibx10"><?xmltex \def\ref@label{Bucsela et~al.(2019)}?><label>Bucsela et al.(2019)</label><?label RN60?><mixed-citation>Bucsela, E. J., Pickering, K. E., Allen, D. J., Holzworth, R. H., and Krotkov, N. A.: Midlatitude Lightning NO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> Production Efficiency Inferred From OMI and WWLLN Data, J. Geophys. Res.-Atmos., 124, 13475–13497,  <ext-link xlink:href="https://doi.org/10.1029/2019jd030561" ext-link-type="DOI">10.1029/2019jd030561</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx11"><?xmltex \def\ref@label{B{\"{u}}rgesser(2017)}?><label>Bürgesser(2017)</label><?label RN30?><mixed-citation>Bürgesser, R. E.: Assessment of the World Wide Lightning Location Network (WWLLN) detection efficiency by comparison to the Lightning Imaging Sensor (LIS), Q. J. Roy. Meteor. Soc., 143, 2809–2817,  <ext-link xlink:href="https://doi.org/10.1002/qj.3129" ext-link-type="DOI">10.1002/qj.3129</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx12"><?xmltex \def\ref@label{B{\"{u}}rgesser et~al.(2012)}?><label>Bürgesser et al.(2012)</label><?label RN45?><mixed-citation>Bürgesser, R. E., Nicora, M. G., and Ávila, E. E.: Characterization of the lightning activity of “Relámpago del Catatumbo”, J. Atmos. Sol.-Terr. Phy., 77, 241–247,  <ext-link xlink:href="https://doi.org/10.1016/j.jastp.2012.01.013" ext-link-type="DOI">10.1016/j.jastp.2012.01.013</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx13"><?xmltex \def\ref@label{Cecil et~al.(2014)}?><label>Cecil et al.(2014)</label><?label RN19?><mixed-citation>Cecil, D. J., Buechler, D. E., and Blakeslee, R. J.: Gridded lightning climatology from TRMM-LIS and OTD: Dataset description, Atmos. Res., 135, 404–414,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2012.06.028" ext-link-type="DOI">10.1016/j.atmosres.2012.06.028</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx14"><?xmltex \def\ref@label{Christian(2003)}?><label>Christian(2003)</label><?label RN7?><mixed-citation>Christian, H. J.: Global frequency and distribution of lightning as observed from space by the Optical Transient Detector, J. Geophys. Res., 108, 4005, <ext-link xlink:href="https://doi.org/10.1029/2002jd002347" ext-link-type="DOI">10.1029/2002jd002347</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx15"><?xmltex \def\ref@label{{Community Modeling and Analysis System}(2021)}?><label>Community Modeling and Analysis System(2021)</label><?label RN42?><mixed-citation>Community Modeling and Analysis System: CMAQv5.0  –  CMAQv5.1 Monthly NLDN Flash Counts, available at: <uri>https://www.cmascenter.org/download/data/nldn.cfm</uri> (last access: 30 August 2019), 2021.</mixed-citation></ref>
      <ref id="bib1.bibx16"><?xmltex \def\ref@label{Cope and Chaloner(1980)}?><label>Cope and Chaloner(1980)</label><?label RN102?><mixed-citation>Cope, M. J. and Chaloner, W. G.: Fossil charcoal as evidence of past atmospheric composition, Nature, 283, 647–649,  <ext-link xlink:href="https://doi.org/10.1038/283647a0" ext-link-type="DOI">10.1038/283647a0</ext-link>, 1980.</mixed-citation></ref>
      <ref id="bib1.bibx17"><?xmltex \def\ref@label{Cummins et~al.(2006)}?><label>Cummins et al.(2006)</label><?label RN44?><mixed-citation>
Cummins, K. L., Cramer, J. A., Biagi, C. J., Krider, E. P., Jerauld, J.,
Uman, M. A., and Rakov, V. A.: The U.S. National Lightning Detection Network:
Post-Upgrade Status, in: Second Conference on Meteorological Applications of
Lightning Data, Atlanta, GA, 27 January–3 February, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx18"><?xmltex \def\ref@label{Daubenmire(1968)}?><label>Daubenmire(1968)</label><?label RN104?><mixed-citation>Daubenmire, R.: Ecology of Fire in Grasslands, vol. 5, Academic Press,
209–266,  <ext-link xlink:href="https://doi.org/10.1016/S0065-2504(08)60226-3" ext-link-type="DOI">10.1016/S0065-2504(08)60226-3</ext-link>, 1968.</mixed-citation></ref>
      <ref id="bib1.bibx19"><?xmltex \def\ref@label{Dowden et~al.(2002)}?><label>Dowden et al.(2002)</label><?label RN24?><mixed-citation>Dowden, R. L., Brundell, J. B., and Rodger, C. J.: VLF lightning location by time of group arrival (TOGA) at multiple sites, J. Atmos. Sol.-Terr. Phy., 64, 817–830,  <ext-link xlink:href="https://doi.org/10.1016/s1364-6826(02)00085-8" ext-link-type="DOI">10.1016/s1364-6826(02)00085-8</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx20"><?xmltex \def\ref@label{Dwyer and Uman(2014)}?><label>Dwyer and Uman(2014)</label><?label RN18?><mixed-citation>Dwyer, J. R. and Uman, M. A.: The physics of lightning, Phys. Rep., 534, 147–241,  <ext-link xlink:href="https://doi.org/10.1016/j.physrep.2013.09.004" ext-link-type="DOI">10.1016/j.physrep.2013.09.004</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx21"><?xmltex \def\ref@label{Farukh et~al.(2011)}?><label>Farukh et al.(2011)</label><?label RN39?><mixed-citation>Farukh, M. A., Hayasaka, H., and Kimura, K.: Characterization of Lightning Occurrence in Alaska Using Various Weather Indices for Lightning Forecasting, Journal of Disaster Research, 6, 343–355,  <ext-link xlink:href="https://doi.org/10.20965/jdr.2011.p0343" ext-link-type="DOI">10.20965/jdr.2011.p0343</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx22"><?xmltex \def\ref@label{Fick and Hijmans(2017)}?><label>Fick and Hijmans(2017)</label><?label RN56?><mixed-citation>Fick, S. E. and Hijmans, R. J.: WorldClim 2: new 1-km spatial resolution climate surfaces for global land areas, Int. J. Climatol., 37, 4302–4315,  <ext-link xlink:href="https://doi.org/10.1002/joc.5086" ext-link-type="DOI">10.1002/joc.5086</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx23"><?xmltex \def\ref@label{Finney et~al.(2016)}?><label>Finney et al.(2016)</label><?label RN2?><mixed-citation>Finney, D. L., Doherty, R. M., Wild, O., Young, P. J., and Butler, A.: Response of lightning NO<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions and ozone production to climate change: Insights from the Atmospheric Chemistry and Climate Model Intercomparison Project, Geophys. Res. Lett., 43, 5492–5500,  <ext-link xlink:href="https://doi.org/10.1002/2016gl068825" ext-link-type="DOI">10.1002/2016gl068825</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx24"><?xmltex \def\ref@label{Fronterhouse(2012)}?><label>Fronterhouse(2012)</label><?label RN20?><mixed-citation>
Fronterhouse, B. A.: Alaska Lightning Detection Network (ALDN) briefing
document, Report, Bureau of Land Management, Alaska Fire Service, Fort Wainwright AK, USA,
2012.</mixed-citation></ref>
      <ref id="bib1.bibx25"><?xmltex \def\ref@label{Fuschino et~al.(2011)}?><label>Fuschino et al.(2011)</label><?label RN17?><mixed-citation>Fuschino, F., Marisaldi, M., Labanti, C., Barbiellini, G., Del Monte, E., Bulgarelli, A., Trifoglio, M., Gianotti, F., Galli, M., Argan, A., Trois, A., Tavani, M., Moretti, E., Giuliani, A., Longo, F., Costa, E., Caraveo, P., Cattaneo, P. W., Chen, A., D'Ammando, F., De Paris, G., Di Cocco, G., Di Persio, G., Donnarumma, I., Evangelista, Y., Feroci, M., Ferrari, A., Fiorini, M., Lapshov, I., Lazzarotto, F., Lipari, P., Mereghetti, S., Morselli, A., Pacciani, L., Pellizzoni, A., Perotti, F., Picozza, P., Piano, G., Pilia, M., Prest, M., Pucella, G., Rapisarda, M., Rappoldi, A., Rubini, A., Sabatini, S., Soffitta, P., Striani, E., Vallazza, E., Vercellone, S., Vittorini, V., Zambra, A., Zanello, D., Antonelli, L. A., Colafrancesco, S., Cutini, S., Giommi, P., Lucarelli, F., Pittori, C., Santolamazza, P., Verrecchia, F., and Salotti, L.: High spatial resolution correlation of AGILE TGFs and global lightning activity above the equatorial belt, Geophys. Res. Lett., 38, L14806, <ext-link xlink:href="https://doi.org/10.1029/2011gl047817" ext-link-type="DOI">10.1029/2011gl047817</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx26"><?xmltex \def\ref@label{Hantson et~al.(2016)}?><label>Hantson et al.(2016)</label><?label RN1?><mixed-citation>Hantson, S., Arneth, A., Harrison, S. P., Kelley, D. I., Prentice, I. C., Rabin, S. S., Archibald, S., Mouillot, F., Arnold, S. R., Artaxo, P., Bachelet, D., Ciais, P., Forrest, M., Friedlingstein, P., Hickler, T., Kaplan, J. O., Kloster, S., Knorr, W., Lasslop, G., Li, F., Mangeon, S., Melton, J. R., Meyn, A., Sitch, S., Spessa, A., van der Werf, G. R., Voulgarakis, A., and Yue, C.: The status and challenge of global fire modelling, Biogeosciences, 13, 3359–3375,  <ext-link xlink:href="https://doi.org/10.5194/bg-13-3359-2016" ext-link-type="DOI">10.5194/bg-13-3359-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx27"><?xmltex \def\ref@label{Holle(2014)}?><label>Holle(2014)</label><?label RN61?><mixed-citation>Holle, R. L.: Some aspects of global lightning impacts, in: 2014 International
Conference on Lightning Protection (ICLP), Shanghai, China, 11–18 October 2014, 1390–1395,
<ext-link xlink:href="https://doi.org/10.1109/ICLP.2014.6973348" ext-link-type="DOI">10.1109/ICLP.2014.6973348</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx28"><?xmltex \def\ref@label{Holle et~al.(2016)}?><label>Holle et al.(2016)</label><?label RN22?><mixed-citation>Holle, R. L., Cummins, K. L., and Brooks, W. A.: Seasonal, Monthly, and Weekly Distributions of NLDN and GLD360 Cloud-to-Ground Lightning, Mon. Weather Rev., 144, 2855–2870,  <ext-link xlink:href="https://doi.org/10.1175/mwr-d-16-0051.1" ext-link-type="DOI">10.1175/mwr-d-16-0051.1</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx29"><?xmltex \def\ref@label{Holle et~al.(2018)}?><label>Holle et al.(2018)</label><?label RN21?><mixed-citation>
Holle, R. L., Said, R. K., and Brooks, W. A.: Monthly GLD360 Lightning Percentages by Continent, in: 25th International Lightning Detection Conference and 7th International Lightning Meteorology Conference, Ft. Lauderdale, Florida, USA, 12–15 March 2018, 1–4, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx30"><?xmltex \def\ref@label{Holzworth et~al.(2019)}?><label>Holzworth et al.(2019)</label><?label RN36?><mixed-citation>Holzworth, R. H., McCarthy, M. P., Brundell, J. B., Jacobson, A. R., and Rodger, C. J.: Global Distribution of Superbolts, J. Geophys. Res.-Atmos., 124, 9996–10005,  <ext-link xlink:href="https://doi.org/10.1029/2019jd030975" ext-link-type="DOI">10.1029/2019jd030975</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx31"><?xmltex \def\ref@label{Houze et~al.(2015)}?><label>Houze et al.(2015)</label><?label RN47?><mixed-citation>Houze, R. A., J., Rasmussen, K. L., Zuluaga, M. D., and Brodzik, S. R.: The variable nature of convection in the tropics and subtropics: A legacy of 16 years of the Tropical Rainfall Measuring Mission satellite, Rev. Geophys., 53, 994–1021,  <ext-link xlink:href="https://doi.org/10.1002/2015RG000488" ext-link-type="DOI">10.1002/2015RG000488</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx32"><?xmltex \def\ref@label{Hutchins et~al.(2012a)}?><label>Hutchins et al.(2012a)</label><?label RN31?><mixed-citation>Hutchins, M. L., Holzworth, R. H., Brundell, J. B., and Rodger, C. J.: Relative detection efficiency of the World Wide Lightning Location Network, Radio Sci., 47, RS6005, <ext-link xlink:href="https://doi.org/10.1029/2012rs005049" ext-link-type="DOI">10.1029/2012rs005049</ext-link>, 2012a.</mixed-citation></ref>
      <ref id="bib1.bibx33"><?xmltex \def\ref@label{Hutchins et~al.(2012b)}?><label>Hutchins et al.(2012b)</label><?label RN41?><mixed-citation>Hutchins, M. L., Holzworth, R. H., Rodger, C. J., and Brundell, J. B.: Far-Field Power of Lightning Strokes as Measured by the World Wide Lightning Location Network, J. Atmos. Ocean. Tech., 29, 1102–1110,  <ext-link xlink:href="https://doi.org/10.1175/Jtech-D-11-00174.1" ext-link-type="DOI">10.1175/Jtech-D-11-00174.1</ext-link>, 2012b.</mixed-citation></ref>
      <ref id="bib1.bibx34"><?xmltex \def\ref@label{Iwasaki(2015)}?><label>Iwasaki(2015)</label><?label RN49?><mixed-citation>Iwasaki, H.: Climatology of global lightning classified by stroke energy using WWLLN data, Int. J. Climatol., 35, 4337–4347,  <ext-link xlink:href="https://doi.org/10.1002/joc.4291" ext-link-type="DOI">10.1002/joc.4291</ext-link>, 2015.</mixed-citation></ref>
      <?pagebreak page3236?><ref id="bib1.bibx35"><?xmltex \def\ref@label{Kaplan and Lau(2021a)}?><label>Kaplan and Lau(2021a)</label><?label zenododata?><mixed-citation>Kaplan, J. O. and Lau, K. H.-K.: The WWLLN Global Lightning Climatology and
timeseries (WGLC), Zenodo, <ext-link xlink:href="https://doi.org/10.5281/zenodo.4774529" ext-link-type="DOI">10.5281/zenodo.4774529</ext-link>, 2021a.</mixed-citation></ref>
      <ref id="bib1.bibx36"><?xmltex \def\ref@label{Kaplan and Lau(2021b)}?><label>Kaplan and Lau(2021b)</label><?label Kaplanlau2021b?><mixed-citation>Kaplan, J. O. and Lau, K. H.-K.: WGLC: The WWLLN Global Lightning Climatology and timeseries, available at: <uri>https://github.com/ARVE-Research/WGLC</uri>, last access: 5 July 2021b.</mixed-citation></ref>
      <ref id="bib1.bibx37"><?xmltex \def\ref@label{Karger et~al.(2017)}?><label>Karger et al.(2017)</label><?label RN108?><mixed-citation>Karger, D. N., Conrad, O., Bohner, J., Kawohl, T., Kreft, H., Soria-Auza, R. W., Zimmermann, N. E., Linder, H. P., and Kessler, M.: Climatologies at high resolution for the earth's land surface areas, Sci. Data, 4, 170122,  <ext-link xlink:href="https://doi.org/10.1038/sdata.2017.122" ext-link-type="DOI">10.1038/sdata.2017.122</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx38"><?xmltex \def\ref@label{Komarek(1964)}?><label>Komarek(1964)</label><?label RN103?><mixed-citation>
Komarek, Jr, E. V.: The Natural History of Lightning, in: 3rd Tall Timbers Fire Ecology Conference 1964, vol. 3, Tall Timbers Research Station and Land Conservancy, Tallahassee FL, USA, 139–184, 1964.</mixed-citation></ref>
      <ref id="bib1.bibx39"><?xmltex \def\ref@label{Koshak et~al.(2015)}?><label>Koshak et al.(2015)</label><?label RN4?><mixed-citation>Koshak, W. J., Cummins, K. L., Buechler, D. E., Vant-Hull, B., Blakeslee, R. J., Williams, E. R., and Peterson, H. S.: Variability of CONUS Lightning in 2003–12 and Associated Impacts, J. Appl. Meteorol. Clim., 54, 15–41,  <ext-link xlink:href="https://doi.org/10.1175/jamc-d-14-0072.1" ext-link-type="DOI">10.1175/jamc-d-14-0072.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx40"><?xmltex \def\ref@label{Krawchuk et~al.(2009)}?><label>Krawchuk et al.(2009)</label><?label RN13?><mixed-citation>Krawchuk, M. A., Moritz, M. A., Parisien, M. A., Van Dorn, J., and Hayhoe, K.: Global pyrogeography: the current and future distribution of wildfire, PLoS One, 4, e5102,  <ext-link xlink:href="https://doi.org/10.1371/journal.pone.0005102" ext-link-type="DOI">10.1371/journal.pone.0005102</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx41"><?xmltex \def\ref@label{Krider(2006)}?><label>Krider(2006)</label><?label RN6?><mixed-citation>Krider, E. P.: Benjamin Franklin and lightning rods, Phys. Today, 59, 42–48,  <ext-link xlink:href="https://doi.org/10.1063/1.2180176" ext-link-type="DOI">10.1063/1.2180176</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx42"><?xmltex \def\ref@label{Lin and Chou(2020)}?><label>Lin and Chou(2020)</label><?label RN27?><mixed-citation>Lin, S.-J. and Chou, K.-H.: The Lightning Distribution of Tropical Cyclones over the Western North Pacific, Mon. Weather Rev., 148, 4415–4434,  <ext-link xlink:href="https://doi.org/10.1175/mwr-d-19-0327.1" ext-link-type="DOI">10.1175/mwr-d-19-0327.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx43"><?xmltex \def\ref@label{Murray et~al.(2012)}?><label>Murray et al.(2012)</label><?label RN15?><mixed-citation>Murray, L. T., Jacob, D. J., Logan, J. A., Hudman, R. C., and Koshak, W. J.: Optimized regional and interannual variability of lightning in a global chemical transport model constrained by LIS/OTD satellite data, J. Geophys. Res.-Atmos., 117, D20307, <ext-link xlink:href="https://doi.org/10.1029/2012jd017934" ext-link-type="DOI">10.1029/2012jd017934</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx44"><?xmltex \def\ref@label{New et~al.(2000)}?><label>New et al.(2000)</label><?label RN57?><mixed-citation>New, M., Hulme, M., and Jones, P.: Representing twentieth-century space-time climate variability. Part II: Development of 1901–96 monthly grids of terrestrial surface climate, J. Climate, 13, 2217–2238,  <ext-link xlink:href="https://doi.org/10.1175/1520-0442(2000)013&lt;2217:Rtcstc&gt;2.0.Co;2" ext-link-type="DOI">10.1175/1520-0442(2000)013&lt;2217:Rtcstc&gt;2.0.Co;2</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx45"><?xmltex \def\ref@label{Okike and Umahi(2019)}?><label>Okike and Umahi(2019)</label><?label RN51?><mixed-citation>Okike, O. and Umahi, A. E.: Cosmic ray – global lightning causality, J. Atmos. Sol.-Terr. Phy., 189, 35–43,  <ext-link xlink:href="https://doi.org/10.1016/j.jastp.2019.04.002" ext-link-type="DOI">10.1016/j.jastp.2019.04.002</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx46"><?xmltex \def\ref@label{Orville(1991)}?><label>Orville(1991)</label><?label RN37?><mixed-citation>Orville, R. E.: Lightning Ground Flash Density in the Contiguous United States-1989, Mon. Weather Rev., 119, 573–577,  <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1991)119&lt;0573:Lgfdit&gt;2.0.Co;2" ext-link-type="DOI">10.1175/1520-0493(1991)119&lt;0573:Lgfdit&gt;2.0.Co;2</ext-link>, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx47"><?xmltex \def\ref@label{Orville(1994)}?><label>Orville(1994)</label><?label RN43?><mixed-citation>Orville, R. E.: Cloud-to-Ground Lightning Flash Characteristics in the Contiguous United-States  – 1989–1991, J. Geophys. Res.-Atmos., 99, 10833–10841,  <ext-link xlink:href="https://doi.org/10.1029/93jd02914" ext-link-type="DOI">10.1029/93jd02914</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx48"><?xmltex \def\ref@label{Orville and Spencer(1979)}?><label>Orville and Spencer(1979)</label><?label RN8?><mixed-citation>Orville, R. E. and Spencer, D. W.: Global Lightning Flash Frequency, Mon. Weather Rev., 107, 934–943,  <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1979)107&lt;0934:Glff&gt;2.0.Co;2" ext-link-type="DOI">10.1175/1520-0493(1979)107&lt;0934:Glff&gt;2.0.Co;2</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bibx49"><?xmltex \def\ref@label{Orville et~al.(2011)}?><label>Orville et al.(2011)</label><?label RN23?><mixed-citation>Orville, R. E., Huffines, G. R., Burrows, W. R., and Cummins, K. L.: The North American Lightning Detection Network (NALDN) – Analysis of Flash Data: 2001–09, Mon. Weather Rev., 139, 1305–1322,  <ext-link xlink:href="https://doi.org/10.1175/2010mwr3452.1" ext-link-type="DOI">10.1175/2010mwr3452.1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx50"><?xmltex \def\ref@label{Owens et~al.(2015)}?><label>Owens et al.(2015)</label><?label RN52?><mixed-citation>Owens, M. J., Scott, C. J., Bennett, A. J., Thomas, S. R., Lockwood, M., Harrison, R. G., and Lam, M. M.: Lightning as a space-weather hazard: UK thunderstorm activity modulated by the passage of the heliospheric current sheet, Geophys. Res. Lett., 42, 9624–9632,  <ext-link xlink:href="https://doi.org/10.1002/2015gl066802" ext-link-type="DOI">10.1002/2015gl066802</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx51"><?xmltex \def\ref@label{Perry et~al.(2014)}?><label>Perry et al.(2014)</label><?label RN48?><mixed-citation>Perry, L. B., Seimon, A., and Kelly, G. M.: Precipitation delivery in the tropical high Andes of southern Peru: new findings and paleoclimatic implications, Int. J. Climatol., 34, 197–215,  <ext-link xlink:href="https://doi.org/10.1002/joc.3679" ext-link-type="DOI">10.1002/joc.3679</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx52"><?xmltex \def\ref@label{Pfeiffer et~al.(2013)}?><label>Pfeiffer et al.(2013)</label><?label RN11?><mixed-citation>Pfeiffer, M., Spessa, A., and Kaplan, J. O.: A model for global biomass burning in preindustrial time: LPJ-LMfire (v1.0), Geosci. Model Dev., 6, 643–685,  <ext-link xlink:href="https://doi.org/10.5194/gmd-6-643-2013" ext-link-type="DOI">10.5194/gmd-6-643-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx53"><?xmltex \def\ref@label{Poveda and Mesa(2000)}?><label>Poveda and Mesa(2000)</label><?label RN46?><mixed-citation>Poveda, G. and Mesa, O. J.: On the existence of Lloró (the rainiest locality on Earth): Enhanced ocean-land-atmosphere interaction by a low-level jet, Geophys. Res. Lett., 27, 1675–1678,  <ext-link xlink:href="https://doi.org/10.1029/1999gl006091" ext-link-type="DOI">10.1029/1999gl006091</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx54"><?xmltex \def\ref@label{Rodger et~al.(2004)}?><label>Rodger et al.(2004)</label><?label RN25?><mixed-citation>Rodger, C. J., Brundell, J. B., Dowden, R. L., and Thomson, N. R.: Location accuracy of long distance VLF lightning locationnetwork, Ann. Geophys., 22, 747–758,  <ext-link xlink:href="https://doi.org/10.5194/angeo-22-747-2004" ext-link-type="DOI">10.5194/angeo-22-747-2004</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx55"><?xmltex \def\ref@label{Rodger et~al.(2005)}?><label>Rodger et al.(2005)</label><?label RN33?><mixed-citation>Rodger, C. J., Brundell, J. B., and Dowden, R. L.: Location accuracy of VLF World-Wide Lightning Location (WWLL) network: Post-algorithm upgrade, Ann. Geophys., 23, 277–290,  <ext-link xlink:href="https://doi.org/10.5194/angeo-23-277-2005" ext-link-type="DOI">10.5194/angeo-23-277-2005</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx56"><?xmltex \def\ref@label{Rodger et~al.(2006)}?><label>Rodger et al.(2006)</label><?label RN34?><mixed-citation>Rodger, C. J., Werner, S., Brundell, J. B., Lay, E. H., Thomson, N. R., Holzworth, R. H., and Dowden, R. L.: Detection efficiency of the VLF World-Wide Lightning Location Network (WWLLN): initial case study, Ann. Geophys., 24, 3197–3214,  <ext-link xlink:href="https://doi.org/10.5194/angeo-24-3197-2006" ext-link-type="DOI">10.5194/angeo-24-3197-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx57"><?xmltex \def\ref@label{Rudlosky and Shea(2013)}?><label>Rudlosky and Shea(2013)</label><?label RN100?><mixed-citation>Rudlosky, S. D. and Shea, D. T.: Evaluating WWLLN performance relative to TRMM/LIS, Geophys. Res. Lett., 40, 2344–2348,  <ext-link xlink:href="https://doi.org/10.1002/grl.50428" ext-link-type="DOI">10.1002/grl.50428</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx58"><?xmltex \def\ref@label{Schumann and Huntrieser(2007)}?><label>Schumann and Huntrieser(2007)</label><?label RN14?><mixed-citation>Schumann, U. and Huntrieser, H.: The global lightning-induced nitrogen oxides source, Atmos. Chem. Phys., 7, 3823–3907,  <ext-link xlink:href="https://doi.org/10.5194/acp-7-3823-2007" ext-link-type="DOI">10.5194/acp-7-3823-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx59"><?xmltex \def\ref@label{Sheffield et~al.(2006)}?><label>Sheffield et al.(2006)</label><?label RN106?><mixed-citation>Sheffield, J., Goteti, G., and Wood, E. F.: Development of a 50-year high-resolution global dataset of meteorological forcings for land surface modeling, J. Climate, 19, 3088–3111,  <ext-link xlink:href="https://doi.org/10.1175/Jcli3790.1" ext-link-type="DOI">10.1175/Jcli3790.1</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx60"><?xmltex \def\ref@label{Sheridan et~al.(1997)}?><label>Sheridan et al.(1997)</label><?label RN10?><mixed-citation>Sheridan, S. C., Griffiths, J. F., and Orville, R. E.: Warm season cloud-to-ground lightning-precipitation relationships in the south-central United States, Weather Forecast., 12, 449–458,  <ext-link xlink:href="https://doi.org/10.1175/1520-0434(1997)012&lt;0449:Wsctgl&gt;2.0.Co;2" ext-link-type="DOI">10.1175/1520-0434(1997)012&lt;0449:Wsctgl&gt;2.0.Co;2</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx61"><?xmltex \def\ref@label{Siingh et~al.(2011)}?><label>Siingh et al.(2011)</label><?label RN50?><mixed-citation>Siingh, D., Singh, R. P., Singh, A. K., Kulkarni, M. N., Gautam, A. S., and Singh, A. K.: Solar Activity, Lightning and Climate, Surv. Geophys., 32, 659–703,  <ext-link xlink:href="https://doi.org/10.1007/s10712-011-9127-1" ext-link-type="DOI">10.1007/s10712-011-9127-1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx62"><?xmltex \def\ref@label{Sitch et~al.(2015)}?><label>Sitch et al.(2015)</label><?label RN107?><mixed-citation>Sitch, S., Friedlingstein, P., Gruber, N., Jones, S. D., Murray-Tortarolo, G., Ahlström, A., Doney, S. C., Graven, H., Heinze, C., Huntingford, C., Levis, S., Levy, P. E., Lomas, M., Poulter, B., Viovy, N., Zaehle, S., Zeng, N., Arneth, A., Bonan, G., Bopp, L., Canadell, J. G., Chevallier, F., Ciais, P., Ellis, R., Gloor, M., Peylin, P., Piao, S. L., Le Quéré, C., Smith, B., Zhu, Z., and Myneni, R.: Recent trends and drivers of regional sources and sinks of carbon dioxide, Biogeosciences, 12, 653–679,  <ext-link xlink:href="https://doi.org/10.5194/bg-12-653-2015" ext-link-type="DOI">10.5194/bg-12-653-2015</ext-link>, 2015.</mixed-citation></ref>
      <?pagebreak page3237?><ref id="bib1.bibx63"><?xmltex \def\ref@label{Smith et~al.(2005)}?><label>Smith et al.(2005)</label><?label RN16?><mixed-citation>Smith, D. M., Lopez, L. I., Lin, R. P., and Barrington-Leigh, C. P.: Terrestrial gamma-ray flashes observed up to 20 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">MeV</mml:mi></mml:mrow></mml:math></inline-formula>, Science, 307, 1085–1088,  <ext-link xlink:href="https://doi.org/10.1126/science.1107466" ext-link-type="DOI">10.1126/science.1107466</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx64"><?xmltex \def\ref@label{Solorzano et~al.(2016)}?><label>Solorzano et al.(2016)</label><?label RN105?><mixed-citation>Solorzano, N. N., Thomas, J. N., Hutchins, M. L., and Holzworth, R. H.: WWLLN lightning and satellite microwave radiometrics at 37 to 183 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">GHz</mml:mi></mml:mrow></mml:math></inline-formula>: Thunderstorms in the broad tropics, J. Geophys. Res.-Atmos., 121, 12298–12318,  <ext-link xlink:href="https://doi.org/10.1002/2016jd025374" ext-link-type="DOI">10.1002/2016jd025374</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx65"><?xmltex \def\ref@label{Soula et~al.(2016)}?><label>Soula et al.(2016)</label><?label RN28?><mixed-citation>Soula, S., Kasereka, J. K., Georgis, J. F., and Barthe, C.: Lightning climatology in the Congo Basin, Atmos. Res., 178, 304–319,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2016.04.006" ext-link-type="DOI">10.1016/j.atmosres.2016.04.006</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx66"><?xmltex \def\ref@label{Thonicke et~al.(2010)}?><label>Thonicke et al.(2010)</label><?label RN12?><mixed-citation>Thonicke, K., Spessa, A., Prentice, I. C., Harrison, S. P., Dong, L., and Carmona-Moreno, C.: The influence of vegetation, fire spread and fire behaviour on biomass burning and trace gas emissions: results from a process-based model, Biogeosciences, 7, 1991–2011,  <ext-link xlink:href="https://doi.org/10.5194/bg-7-1991-2010" ext-link-type="DOI">10.5194/bg-7-1991-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx67"><?xmltex \def\ref@label{Virts et~al.(2013a)}?><label>Virts et al.(2013a)</label><?label RN35?><mixed-citation>Virts, K. S., Wallace, J. M., Hutchins, M. L., and Holzworth, R. H.: Highlights of a New Ground-Based, Hourly Global Lightning Climatology, B. Am. Meteorol. Soc., 94, 1381–1391,  <ext-link xlink:href="https://doi.org/10.1175/bams-d-12-00082.1" ext-link-type="DOI">10.1175/bams-d-12-00082.1</ext-link>, 2013a.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx68"><?xmltex \def\ref@label{Virts et~al.(2013b)}?><label>Virts et al.(2013b)</label><?label RN54?><mixed-citation>Virts, K. S., Wallace, J. M., Hutchins, M. L., and Holzworth, R. H.: Diurnal Lightning Variability over the Maritime Continent: Impact of Low-Level Winds, Cloudiness, and the MJO, J. Atmos. Sci., 70, 3128–3146,  <ext-link xlink:href="https://doi.org/10.1175/Jas-D-13-021.1" ext-link-type="DOI">10.1175/Jas-D-13-021.1</ext-link>, 2013b.</mixed-citation></ref>
      <ref id="bib1.bibx69"><?xmltex \def\ref@label{Virts et~al.(2015)}?><label>Virts et al.(2015)</label><?label RN53?><mixed-citation>Virts, K. S., Wallace, J. M., Hutchins, M. L., and Holzworth, R. H.: Diurnal and Seasonal Lightning Variability over the Gulf Stream and the Gulf of Mexico, J. Atmos. Sci., 72, 2657–2665,  <ext-link xlink:href="https://doi.org/10.1175/Jas-D-14-0233.1" ext-link-type="DOI">10.1175/Jas-D-14-0233.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx70"><?xmltex \def\ref@label{Williams(2005)}?><label>Williams(2005)</label><?label RN3?><mixed-citation>Williams, E. R.: Lightning and climate: A review, Atmos. Res., 76, 272–287,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2004.11.014" ext-link-type="DOI">10.1016/j.atmosres.2004.11.014</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx71"><?xmltex \def\ref@label{Wilson and Jetz(2016)}?><label>Wilson and Jetz(2016)</label><?label RN55?><mixed-citation>Wilson, A. M. and Jetz, W.: Remotely Sensed High-Resolution Global Cloud Dynamics for Predicting Ecosystem and Biodiversity Distributions, PLoS Biol., 14, e1002415,  <ext-link xlink:href="https://doi.org/10.1371/journal.pbio.1002415" ext-link-type="DOI">10.1371/journal.pbio.1002415</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx72"><?xmltex \def\ref@label{Zhang et~al.(2010)}?><label>Zhang et al.(2010)</label><?label RN62?><mixed-citation>Zhang, W., Meng, Q., Ma, M., and Zhang, Y.: Lightning casualties and damages in China from 1997 to 2009, Nat. Hazards, 57, 465–476,  <ext-link xlink:href="https://doi.org/10.1007/s11069-010-9628-0" ext-link-type="DOI">10.1007/s11069-010-9628-0</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx73"><?xmltex \def\ref@label{Zipser et~al.(2006)}?><label>Zipser et al.(2006)</label><?label RN9?><mixed-citation>Zipser, E. J., Cecil, D. J., Liu, C., Nesbitt, S. W., and Yorty, D. P.: Where Are the Most Intense Thunderstorms on Earth?, B. Am. Meteorol. Soc., 87, 1057–1072,  <ext-link xlink:href="https://doi.org/10.1175/bams-87-8-1057" ext-link-type="DOI">10.1175/bams-87-8-1057</ext-link>, 2006.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>The WGLC global gridded lightning climatology and time series</article-title-html>
<abstract-html><p>Lightning is an important atmospheric phenomenon and has wide-ranging
influence on the Earth system, but few long-term observational datasets of
lightning occurrence and distribution are currently freely available. Here, we
analyze global lightning activity over the second decade of the
21st century using a new global, high-resolution gridded
time series and climatology of lightning stroke density based on raw data from
the World Wide Lightning Location Network (WWLLN). While the total number of
strokes detected increases from 2010–2014, an adjustment for detection
efficiency reduces this artificial trend. The global distribution of lightning
shows the well-known pattern of greatest density over the three tropical
terrestrial regions of the Americas, Africa, and the Maritime Continent, but
we also noticed substantial temporal variability over the 11 years of record,
with more lightning in the tropics from 2012–2015 and increasing lightning in
the midlatitudes of the Northern Hemisphere from 2016–2020. Although the
total number of strokes detected globally was constant, mean stroke power
decreases significantly from a peak in 2013 to the lowest levels on record in
2020. Evaluation with independent observational networks shows that while the
WWLLN does not capture peak seasonal lightning densities, it does represent
the majority of powerful lightning strokes. The resulting gridded lightning
dataset (Kaplan and Lau, 2021a, 10.5281/zenodo.4774528)
is freely available and will be useful for a range of studies in climate,
Earth system, and natural hazards research, including direct use as input data
to models and as evaluation data for independent simulations of lightning
occurrence.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Abarca et al.(2010)</label><mixed-citation>
Abarca, S. F., Corbosiero, K. L., and Galarneau, T. J.: An evaluation of the Worldwide Lightning Location Network (WWLLN) using the National Lightning Detection Network (NLDN) as ground truth, J. Geophys. Res., 115, D18206, <a href="https://doi.org/10.1029/2009jd013411" target="_blank">https://doi.org/10.1029/2009jd013411</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Alaska Interagency Coordination Center(2021)</label><mixed-citation>
Alaska Interagency Coordination Center: Historical Lightning as txt, available at: <a href="https://fire.ak.blm.gov/content/maps/aicc/Data/Data (zipped Text Files)/Historical_Lightning_as_txt.zip" target="_blank"/>, last access: 5 July 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Albrecht et al.(2016)</label><mixed-citation>
Albrecht, R. I., Goodman, S. J., Buechler, D. E., Blakeslee, R. J., and Christian, H. J.: Where Are the Lightning Hotspots on Earth?, B. Am. Meteorol. Soc., 97, 2051–2068,  <a href="https://doi.org/10.1175/bams-d-14-00193.1" target="_blank">https://doi.org/10.1175/bams-d-14-00193.1</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Allen et al.(2019)</label><mixed-citation>
Allen, D. J., Pickering, K. E., Bucsela, E., Krotkov, N., and Holzworth, R.: Lightning NO<sub><i>x</i></sub> Production in the Tropics as Determined Using OMI NO<sub>2</sub> Retrievals and WWLLN Stroke Data, J. Geophys. Res.-Atmos., 124, 13498–13518,  <a href="https://doi.org/10.1029/2018jd029824" target="_blank">https://doi.org/10.1029/2018jd029824</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Ammar and Ghalila(2020)</label><mixed-citation>
Ammar, A. and Ghalila, H.: Estimation of nighttime ionospheric D-region parameters using tweek atmospherics observed for the first time in the North African region, Adv. Space Res., 66, 2528–2536,  <a href="https://doi.org/10.1016/j.asr.2020.08.025" target="_blank">https://doi.org/10.1016/j.asr.2020.08.025</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Ashley and Gilson(2009)</label><mixed-citation>
Ashley, W. S. and Gilson, C. W.: A Reassessment of U. S. Lightning Mortality, B. Am. Meteorol. Soc., 90, 1501–1518,  <a href="https://doi.org/10.1175/2009bams2765.1" target="_blank">https://doi.org/10.1175/2009bams2765.1</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Bieniek et al.(2020)</label><mixed-citation>
Bieniek, P. A., Bhatt, U. S., York, A., Walsh, J. E., Lader, R., Strader, H., Ziel, R., Jandt, R. R., and Thoman, R. L.: Lightning Variability in Dynamically Downscaled Simulations of Alaska's Present and Future Summer Climate, J. Appl. Meteorol. Clim., 59, 1139–1152,  <a href="https://doi.org/10.1175/Jamc-D-19-0209.1" target="_blank">https://doi.org/10.1175/Jamc-D-19-0209.1</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Bovalo et al.(2012)</label><mixed-citation>
Bovalo, C., Barthe, C., and Bègue, N.: A lightning climatology of the South-West Indian Ocean, Nat. Hazards Earth Syst. Sci., 12, 2659–2670,  <a href="https://doi.org/10.5194/nhess-12-2659-2012" target="_blank">https://doi.org/10.5194/nhess-12-2659-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Brooks(1925)</label><mixed-citation>
Brooks, C. E. P.: The distribution of thunderstorms over the globe, Geophysical Memoirs, 3, 147–164, 1925.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Bucsela et al.(2019)</label><mixed-citation>
Bucsela, E. J., Pickering, K. E., Allen, D. J., Holzworth, R. H., and Krotkov, N. A.: Midlatitude Lightning NO<sub><i>x</i></sub> Production Efficiency Inferred From OMI and WWLLN Data, J. Geophys. Res.-Atmos., 124, 13475–13497,  <a href="https://doi.org/10.1029/2019jd030561" target="_blank">https://doi.org/10.1029/2019jd030561</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Bürgesser(2017)</label><mixed-citation>
Bürgesser, R. E.: Assessment of the World Wide Lightning Location Network (WWLLN) detection efficiency by comparison to the Lightning Imaging Sensor (LIS), Q. J. Roy. Meteor. Soc., 143, 2809–2817,  <a href="https://doi.org/10.1002/qj.3129" target="_blank">https://doi.org/10.1002/qj.3129</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Bürgesser et al.(2012)</label><mixed-citation>
Bürgesser, R. E., Nicora, M. G., and Ávila, E. E.: Characterization of the lightning activity of “Relámpago del Catatumbo”, J. Atmos. Sol.-Terr. Phy., 77, 241–247,  <a href="https://doi.org/10.1016/j.jastp.2012.01.013" target="_blank">https://doi.org/10.1016/j.jastp.2012.01.013</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Cecil et al.(2014)</label><mixed-citation>
Cecil, D. J., Buechler, D. E., and Blakeslee, R. J.: Gridded lightning climatology from TRMM-LIS and OTD: Dataset description, Atmos. Res., 135, 404–414,  <a href="https://doi.org/10.1016/j.atmosres.2012.06.028" target="_blank">https://doi.org/10.1016/j.atmosres.2012.06.028</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Christian(2003)</label><mixed-citation>
Christian, H. J.: Global frequency and distribution of lightning as observed from space by the Optical Transient Detector, J. Geophys. Res., 108, 4005, <a href="https://doi.org/10.1029/2002jd002347" target="_blank">https://doi.org/10.1029/2002jd002347</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Community Modeling and Analysis System(2021)</label><mixed-citation>
Community Modeling and Analysis System: CMAQv5.0  –  CMAQv5.1 Monthly NLDN Flash Counts, available at: <a href="https://www.cmascenter.org/download/data/nldn.cfm" target="_blank"/> (last access: 30 August 2019), 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Cope and Chaloner(1980)</label><mixed-citation>
Cope, M. J. and Chaloner, W. G.: Fossil charcoal as evidence of past atmospheric composition, Nature, 283, 647–649,  <a href="https://doi.org/10.1038/283647a0" target="_blank">https://doi.org/10.1038/283647a0</a>, 1980.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Cummins et al.(2006)</label><mixed-citation>
Cummins, K. L., Cramer, J. A., Biagi, C. J., Krider, E. P., Jerauld, J.,
Uman, M. A., and Rakov, V. A.: The U.S. National Lightning Detection Network:
Post-Upgrade Status, in: Second Conference on Meteorological Applications of
Lightning Data, Atlanta, GA, 27 January–3 February, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Daubenmire(1968)</label><mixed-citation>
Daubenmire, R.: Ecology of Fire in Grasslands, vol. 5, Academic Press,
209–266,  <a href="https://doi.org/10.1016/S0065-2504(08)60226-3" target="_blank">https://doi.org/10.1016/S0065-2504(08)60226-3</a>, 1968.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Dowden et al.(2002)</label><mixed-citation>
Dowden, R. L., Brundell, J. B., and Rodger, C. J.: VLF lightning location by time of group arrival (TOGA) at multiple sites, J. Atmos. Sol.-Terr. Phy., 64, 817–830,  <a href="https://doi.org/10.1016/s1364-6826(02)00085-8" target="_blank">https://doi.org/10.1016/s1364-6826(02)00085-8</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Dwyer and Uman(2014)</label><mixed-citation>
Dwyer, J. R. and Uman, M. A.: The physics of lightning, Phys. Rep., 534, 147–241,  <a href="https://doi.org/10.1016/j.physrep.2013.09.004" target="_blank">https://doi.org/10.1016/j.physrep.2013.09.004</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Farukh et al.(2011)</label><mixed-citation>
Farukh, M. A., Hayasaka, H., and Kimura, K.: Characterization of Lightning Occurrence in Alaska Using Various Weather Indices for Lightning Forecasting, Journal of Disaster Research, 6, 343–355,  <a href="https://doi.org/10.20965/jdr.2011.p0343" target="_blank">https://doi.org/10.20965/jdr.2011.p0343</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Fick and Hijmans(2017)</label><mixed-citation>
Fick, S. E. and Hijmans, R. J.: WorldClim 2: new 1-km spatial resolution climate surfaces for global land areas, Int. J. Climatol., 37, 4302–4315,  <a href="https://doi.org/10.1002/joc.5086" target="_blank">https://doi.org/10.1002/joc.5086</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Finney et al.(2016)</label><mixed-citation>
Finney, D. L., Doherty, R. M., Wild, O., Young, P. J., and Butler, A.: Response of lightning NO<sub><i>x</i></sub> emissions and ozone production to climate change: Insights from the Atmospheric Chemistry and Climate Model Intercomparison Project, Geophys. Res. Lett., 43, 5492–5500,  <a href="https://doi.org/10.1002/2016gl068825" target="_blank">https://doi.org/10.1002/2016gl068825</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Fronterhouse(2012)</label><mixed-citation>
Fronterhouse, B. A.: Alaska Lightning Detection Network (ALDN) briefing
document, Report, Bureau of Land Management, Alaska Fire Service, Fort Wainwright AK, USA,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Fuschino et al.(2011)</label><mixed-citation>
Fuschino, F., Marisaldi, M., Labanti, C., Barbiellini, G., Del Monte, E., Bulgarelli, A., Trifoglio, M., Gianotti, F., Galli, M., Argan, A., Trois, A., Tavani, M., Moretti, E., Giuliani, A., Longo, F., Costa, E., Caraveo, P., Cattaneo, P. W., Chen, A., D'Ammando, F., De Paris, G., Di Cocco, G., Di Persio, G., Donnarumma, I., Evangelista, Y., Feroci, M., Ferrari, A., Fiorini, M., Lapshov, I., Lazzarotto, F., Lipari, P., Mereghetti, S., Morselli, A., Pacciani, L., Pellizzoni, A., Perotti, F., Picozza, P., Piano, G., Pilia, M., Prest, M., Pucella, G., Rapisarda, M., Rappoldi, A., Rubini, A., Sabatini, S., Soffitta, P., Striani, E., Vallazza, E., Vercellone, S., Vittorini, V., Zambra, A., Zanello, D., Antonelli, L. A., Colafrancesco, S., Cutini, S., Giommi, P., Lucarelli, F., Pittori, C., Santolamazza, P., Verrecchia, F., and Salotti, L.: High spatial resolution correlation of AGILE TGFs and global lightning activity above the equatorial belt, Geophys. Res. Lett., 38, L14806, <a href="https://doi.org/10.1029/2011gl047817" target="_blank">https://doi.org/10.1029/2011gl047817</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Hantson et al.(2016)</label><mixed-citation>
Hantson, S., Arneth, A., Harrison, S. P., Kelley, D. I., Prentice, I. C., Rabin, S. S., Archibald, S., Mouillot, F., Arnold, S. R., Artaxo, P., Bachelet, D., Ciais, P., Forrest, M., Friedlingstein, P., Hickler, T., Kaplan, J. O., Kloster, S., Knorr, W., Lasslop, G., Li, F., Mangeon, S., Melton, J. R., Meyn, A., Sitch, S., Spessa, A., van der Werf, G. R., Voulgarakis, A., and Yue, C.: The status and challenge of global fire modelling, Biogeosciences, 13, 3359–3375,  <a href="https://doi.org/10.5194/bg-13-3359-2016" target="_blank">https://doi.org/10.5194/bg-13-3359-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Holle(2014)</label><mixed-citation>
Holle, R. L.: Some aspects of global lightning impacts, in: 2014 International
Conference on Lightning Protection (ICLP), Shanghai, China, 11–18 October 2014, 1390–1395,
<a href="https://doi.org/10.1109/ICLP.2014.6973348" target="_blank">https://doi.org/10.1109/ICLP.2014.6973348</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Holle et al.(2016)</label><mixed-citation>
Holle, R. L., Cummins, K. L., and Brooks, W. A.: Seasonal, Monthly, and Weekly Distributions of NLDN and GLD360 Cloud-to-Ground Lightning, Mon. Weather Rev., 144, 2855–2870,  <a href="https://doi.org/10.1175/mwr-d-16-0051.1" target="_blank">https://doi.org/10.1175/mwr-d-16-0051.1</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Holle et al.(2018)</label><mixed-citation>
Holle, R. L., Said, R. K., and Brooks, W. A.: Monthly GLD360 Lightning Percentages by Continent, in: 25th International Lightning Detection Conference and 7th International Lightning Meteorology Conference, Ft. Lauderdale, Florida, USA, 12–15 March 2018, 1–4, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Holzworth et al.(2019)</label><mixed-citation>
Holzworth, R. H., McCarthy, M. P., Brundell, J. B., Jacobson, A. R., and Rodger, C. J.: Global Distribution of Superbolts, J. Geophys. Res.-Atmos., 124, 9996–10005,  <a href="https://doi.org/10.1029/2019jd030975" target="_blank">https://doi.org/10.1029/2019jd030975</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Houze et al.(2015)</label><mixed-citation>
Houze, R. A., J., Rasmussen, K. L., Zuluaga, M. D., and Brodzik, S. R.: The variable nature of convection in the tropics and subtropics: A legacy of 16 years of the Tropical Rainfall Measuring Mission satellite, Rev. Geophys., 53, 994–1021,  <a href="https://doi.org/10.1002/2015RG000488" target="_blank">https://doi.org/10.1002/2015RG000488</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Hutchins et al.(2012a)</label><mixed-citation>
Hutchins, M. L., Holzworth, R. H., Brundell, J. B., and Rodger, C. J.: Relative detection efficiency of the World Wide Lightning Location Network, Radio Sci., 47, RS6005, <a href="https://doi.org/10.1029/2012rs005049" target="_blank">https://doi.org/10.1029/2012rs005049</a>, 2012a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Hutchins et al.(2012b)</label><mixed-citation>
Hutchins, M. L., Holzworth, R. H., Rodger, C. J., and Brundell, J. B.: Far-Field Power of Lightning Strokes as Measured by the World Wide Lightning Location Network, J. Atmos. Ocean. Tech., 29, 1102–1110,  <a href="https://doi.org/10.1175/Jtech-D-11-00174.1" target="_blank">https://doi.org/10.1175/Jtech-D-11-00174.1</a>, 2012b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Iwasaki(2015)</label><mixed-citation>
Iwasaki, H.: Climatology of global lightning classified by stroke energy using WWLLN data, Int. J. Climatol., 35, 4337–4347,  <a href="https://doi.org/10.1002/joc.4291" target="_blank">https://doi.org/10.1002/joc.4291</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Kaplan and Lau(2021a)</label><mixed-citation>
Kaplan, J. O. and Lau, K. H.-K.: The WWLLN Global Lightning Climatology and
timeseries (WGLC), Zenodo, <a href="https://doi.org/10.5281/zenodo.4774529" target="_blank">https://doi.org/10.5281/zenodo.4774529</a>, 2021a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Kaplan and Lau(2021b)</label><mixed-citation>
Kaplan, J. O. and Lau, K. H.-K.: WGLC: The WWLLN Global Lightning Climatology and timeseries, available at: <a href="https://github.com/ARVE-Research/WGLC" target="_blank"/>, last access: 5 July 2021b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Karger et al.(2017)</label><mixed-citation>
Karger, D. N., Conrad, O., Bohner, J., Kawohl, T., Kreft, H., Soria-Auza, R. W., Zimmermann, N. E., Linder, H. P., and Kessler, M.: Climatologies at high resolution for the earth's land surface areas, Sci. Data, 4, 170122,  <a href="https://doi.org/10.1038/sdata.2017.122" target="_blank">https://doi.org/10.1038/sdata.2017.122</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Komarek(1964)</label><mixed-citation>
Komarek, Jr, E. V.: The Natural History of Lightning, in: 3rd Tall Timbers Fire Ecology Conference 1964, vol. 3, Tall Timbers Research Station and Land Conservancy, Tallahassee FL, USA, 139–184, 1964.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Koshak et al.(2015)</label><mixed-citation>
Koshak, W. J., Cummins, K. L., Buechler, D. E., Vant-Hull, B., Blakeslee, R. J., Williams, E. R., and Peterson, H. S.: Variability of CONUS Lightning in 2003–12 and Associated Impacts, J. Appl. Meteorol. Clim., 54, 15–41,  <a href="https://doi.org/10.1175/jamc-d-14-0072.1" target="_blank">https://doi.org/10.1175/jamc-d-14-0072.1</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Krawchuk et al.(2009)</label><mixed-citation>
Krawchuk, M. A., Moritz, M. A., Parisien, M. A., Van Dorn, J., and Hayhoe, K.: Global pyrogeography: the current and future distribution of wildfire, PLoS One, 4, e5102,  <a href="https://doi.org/10.1371/journal.pone.0005102" target="_blank">https://doi.org/10.1371/journal.pone.0005102</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Krider(2006)</label><mixed-citation>
Krider, E. P.: Benjamin Franklin and lightning rods, Phys. Today, 59, 42–48,  <a href="https://doi.org/10.1063/1.2180176" target="_blank">https://doi.org/10.1063/1.2180176</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Lin and Chou(2020)</label><mixed-citation>
Lin, S.-J. and Chou, K.-H.: The Lightning Distribution of Tropical Cyclones over the Western North Pacific, Mon. Weather Rev., 148, 4415–4434,  <a href="https://doi.org/10.1175/mwr-d-19-0327.1" target="_blank">https://doi.org/10.1175/mwr-d-19-0327.1</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Murray et al.(2012)</label><mixed-citation>
Murray, L. T., Jacob, D. J., Logan, J. A., Hudman, R. C., and Koshak, W. J.: Optimized regional and interannual variability of lightning in a global chemical transport model constrained by LIS/OTD satellite data, J. Geophys. Res.-Atmos., 117, D20307, <a href="https://doi.org/10.1029/2012jd017934" target="_blank">https://doi.org/10.1029/2012jd017934</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>New et al.(2000)</label><mixed-citation>
New, M., Hulme, M., and Jones, P.: Representing twentieth-century space-time climate variability. Part II: Development of 1901–96 monthly grids of terrestrial surface climate, J. Climate, 13, 2217–2238,  <a href="https://doi.org/10.1175/1520-0442(2000)013&lt;2217:Rtcstc&gt;2.0.Co;2" target="_blank">https://doi.org/10.1175/1520-0442(2000)013&lt;2217:Rtcstc&gt;2.0.Co;2</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Okike and Umahi(2019)</label><mixed-citation>
Okike, O. and Umahi, A. E.: Cosmic ray – global lightning causality, J. Atmos. Sol.-Terr. Phy., 189, 35–43,  <a href="https://doi.org/10.1016/j.jastp.2019.04.002" target="_blank">https://doi.org/10.1016/j.jastp.2019.04.002</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Orville(1991)</label><mixed-citation>
Orville, R. E.: Lightning Ground Flash Density in the Contiguous United States-1989, Mon. Weather Rev., 119, 573–577,  <a href="https://doi.org/10.1175/1520-0493(1991)119&lt;0573:Lgfdit&gt;2.0.Co;2" target="_blank">https://doi.org/10.1175/1520-0493(1991)119&lt;0573:Lgfdit&gt;2.0.Co;2</a>, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Orville(1994)</label><mixed-citation>
Orville, R. E.: Cloud-to-Ground Lightning Flash Characteristics in the Contiguous United-States  – 1989–1991, J. Geophys. Res.-Atmos., 99, 10833–10841,  <a href="https://doi.org/10.1029/93jd02914" target="_blank">https://doi.org/10.1029/93jd02914</a>, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Orville and Spencer(1979)</label><mixed-citation>
Orville, R. E. and Spencer, D. W.: Global Lightning Flash Frequency, Mon. Weather Rev., 107, 934–943,  <a href="https://doi.org/10.1175/1520-0493(1979)107&lt;0934:Glff&gt;2.0.Co;2" target="_blank">https://doi.org/10.1175/1520-0493(1979)107&lt;0934:Glff&gt;2.0.Co;2</a>, 1979.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Orville et al.(2011)</label><mixed-citation>
Orville, R. E., Huffines, G. R., Burrows, W. R., and Cummins, K. L.: The North American Lightning Detection Network (NALDN) – Analysis of Flash Data: 2001–09, Mon. Weather Rev., 139, 1305–1322,  <a href="https://doi.org/10.1175/2010mwr3452.1" target="_blank">https://doi.org/10.1175/2010mwr3452.1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Owens et al.(2015)</label><mixed-citation>
Owens, M. J., Scott, C. J., Bennett, A. J., Thomas, S. R., Lockwood, M., Harrison, R. G., and Lam, M. M.: Lightning as a space-weather hazard: UK thunderstorm activity modulated by the passage of the heliospheric current sheet, Geophys. Res. Lett., 42, 9624–9632,  <a href="https://doi.org/10.1002/2015gl066802" target="_blank">https://doi.org/10.1002/2015gl066802</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Perry et al.(2014)</label><mixed-citation>
Perry, L. B., Seimon, A., and Kelly, G. M.: Precipitation delivery in the tropical high Andes of southern Peru: new findings and paleoclimatic implications, Int. J. Climatol., 34, 197–215,  <a href="https://doi.org/10.1002/joc.3679" target="_blank">https://doi.org/10.1002/joc.3679</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Pfeiffer et al.(2013)</label><mixed-citation>
Pfeiffer, M., Spessa, A., and Kaplan, J. O.: A model for global biomass burning in preindustrial time: LPJ-LMfire (v1.0), Geosci. Model Dev., 6, 643–685,  <a href="https://doi.org/10.5194/gmd-6-643-2013" target="_blank">https://doi.org/10.5194/gmd-6-643-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Poveda and Mesa(2000)</label><mixed-citation>
Poveda, G. and Mesa, O. J.: On the existence of Lloró (the rainiest locality on Earth): Enhanced ocean-land-atmosphere interaction by a low-level jet, Geophys. Res. Lett., 27, 1675–1678,  <a href="https://doi.org/10.1029/1999gl006091" target="_blank">https://doi.org/10.1029/1999gl006091</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Rodger et al.(2004)</label><mixed-citation>
Rodger, C. J., Brundell, J. B., Dowden, R. L., and Thomson, N. R.: Location accuracy of long distance VLF lightning locationnetwork, Ann. Geophys., 22, 747–758,  <a href="https://doi.org/10.5194/angeo-22-747-2004" target="_blank">https://doi.org/10.5194/angeo-22-747-2004</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Rodger et al.(2005)</label><mixed-citation>
Rodger, C. J., Brundell, J. B., and Dowden, R. L.: Location accuracy of VLF World-Wide Lightning Location (WWLL) network: Post-algorithm upgrade, Ann. Geophys., 23, 277–290,  <a href="https://doi.org/10.5194/angeo-23-277-2005" target="_blank">https://doi.org/10.5194/angeo-23-277-2005</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Rodger et al.(2006)</label><mixed-citation>
Rodger, C. J., Werner, S., Brundell, J. B., Lay, E. H., Thomson, N. R., Holzworth, R. H., and Dowden, R. L.: Detection efficiency of the VLF World-Wide Lightning Location Network (WWLLN): initial case study, Ann. Geophys., 24, 3197–3214,  <a href="https://doi.org/10.5194/angeo-24-3197-2006" target="_blank">https://doi.org/10.5194/angeo-24-3197-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Rudlosky and Shea(2013)</label><mixed-citation>
Rudlosky, S. D. and Shea, D. T.: Evaluating WWLLN performance relative to TRMM/LIS, Geophys. Res. Lett., 40, 2344–2348,  <a href="https://doi.org/10.1002/grl.50428" target="_blank">https://doi.org/10.1002/grl.50428</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Schumann and Huntrieser(2007)</label><mixed-citation>
Schumann, U. and Huntrieser, H.: The global lightning-induced nitrogen oxides source, Atmos. Chem. Phys., 7, 3823–3907,  <a href="https://doi.org/10.5194/acp-7-3823-2007" target="_blank">https://doi.org/10.5194/acp-7-3823-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Sheffield et al.(2006)</label><mixed-citation>
Sheffield, J., Goteti, G., and Wood, E. F.: Development of a 50-year high-resolution global dataset of meteorological forcings for land surface modeling, J. Climate, 19, 3088–3111,  <a href="https://doi.org/10.1175/Jcli3790.1" target="_blank">https://doi.org/10.1175/Jcli3790.1</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Sheridan et al.(1997)</label><mixed-citation>
Sheridan, S. C., Griffiths, J. F., and Orville, R. E.: Warm season cloud-to-ground lightning-precipitation relationships in the south-central United States, Weather Forecast., 12, 449–458,  <a href="https://doi.org/10.1175/1520-0434(1997)012&lt;0449:Wsctgl&gt;2.0.Co;2" target="_blank">https://doi.org/10.1175/1520-0434(1997)012&lt;0449:Wsctgl&gt;2.0.Co;2</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Siingh et al.(2011)</label><mixed-citation>
Siingh, D., Singh, R. P., Singh, A. K., Kulkarni, M. N., Gautam, A. S., and Singh, A. K.: Solar Activity, Lightning and Climate, Surv. Geophys., 32, 659–703,  <a href="https://doi.org/10.1007/s10712-011-9127-1" target="_blank">https://doi.org/10.1007/s10712-011-9127-1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Sitch et al.(2015)</label><mixed-citation>
Sitch, S., Friedlingstein, P., Gruber, N., Jones, S. D., Murray-Tortarolo, G., Ahlström, A., Doney, S. C., Graven, H., Heinze, C., Huntingford, C., Levis, S., Levy, P. E., Lomas, M., Poulter, B., Viovy, N., Zaehle, S., Zeng, N., Arneth, A., Bonan, G., Bopp, L., Canadell, J. G., Chevallier, F., Ciais, P., Ellis, R., Gloor, M., Peylin, P., Piao, S. L., Le Quéré, C., Smith, B., Zhu, Z., and Myneni, R.: Recent trends and drivers of regional sources and sinks of carbon dioxide, Biogeosciences, 12, 653–679,  <a href="https://doi.org/10.5194/bg-12-653-2015" target="_blank">https://doi.org/10.5194/bg-12-653-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Smith et al.(2005)</label><mixed-citation>
Smith, D. M., Lopez, L. I., Lin, R. P., and Barrington-Leigh, C. P.: Terrestrial gamma-ray flashes observed up to 20&thinsp;MeV, Science, 307, 1085–1088,  <a href="https://doi.org/10.1126/science.1107466" target="_blank">https://doi.org/10.1126/science.1107466</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Solorzano et al.(2016)</label><mixed-citation>
Solorzano, N. N., Thomas, J. N., Hutchins, M. L., and Holzworth, R. H.: WWLLN lightning and satellite microwave radiometrics at 37 to 183&thinsp;GHz: Thunderstorms in the broad tropics, J. Geophys. Res.-Atmos., 121, 12298–12318,  <a href="https://doi.org/10.1002/2016jd025374" target="_blank">https://doi.org/10.1002/2016jd025374</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Soula et al.(2016)</label><mixed-citation>
Soula, S., Kasereka, J. K., Georgis, J. F., and Barthe, C.: Lightning climatology in the Congo Basin, Atmos. Res., 178, 304–319,  <a href="https://doi.org/10.1016/j.atmosres.2016.04.006" target="_blank">https://doi.org/10.1016/j.atmosres.2016.04.006</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Thonicke et al.(2010)</label><mixed-citation>
Thonicke, K., Spessa, A., Prentice, I. C., Harrison, S. P., Dong, L., and Carmona-Moreno, C.: The influence of vegetation, fire spread and fire behaviour on biomass burning and trace gas emissions: results from a process-based model, Biogeosciences, 7, 1991–2011,  <a href="https://doi.org/10.5194/bg-7-1991-2010" target="_blank">https://doi.org/10.5194/bg-7-1991-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Virts et al.(2013a)</label><mixed-citation>
Virts, K. S., Wallace, J. M., Hutchins, M. L., and Holzworth, R. H.: Highlights of a New Ground-Based, Hourly Global Lightning Climatology, B. Am. Meteorol. Soc., 94, 1381–1391,  <a href="https://doi.org/10.1175/bams-d-12-00082.1" target="_blank">https://doi.org/10.1175/bams-d-12-00082.1</a>, 2013a.

</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Virts et al.(2013b)</label><mixed-citation>
Virts, K. S., Wallace, J. M., Hutchins, M. L., and Holzworth, R. H.: Diurnal Lightning Variability over the Maritime Continent: Impact of Low-Level Winds, Cloudiness, and the MJO, J. Atmos. Sci., 70, 3128–3146,  <a href="https://doi.org/10.1175/Jas-D-13-021.1" target="_blank">https://doi.org/10.1175/Jas-D-13-021.1</a>, 2013b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Virts et al.(2015)</label><mixed-citation>
Virts, K. S., Wallace, J. M., Hutchins, M. L., and Holzworth, R. H.: Diurnal and Seasonal Lightning Variability over the Gulf Stream and the Gulf of Mexico, J. Atmos. Sci., 72, 2657–2665,  <a href="https://doi.org/10.1175/Jas-D-14-0233.1" target="_blank">https://doi.org/10.1175/Jas-D-14-0233.1</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Williams(2005)</label><mixed-citation>
Williams, E. R.: Lightning and climate: A review, Atmos. Res., 76, 272–287,  <a href="https://doi.org/10.1016/j.atmosres.2004.11.014" target="_blank">https://doi.org/10.1016/j.atmosres.2004.11.014</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Wilson and Jetz(2016)</label><mixed-citation>
Wilson, A. M. and Jetz, W.: Remotely Sensed High-Resolution Global Cloud Dynamics for Predicting Ecosystem and Biodiversity Distributions, PLoS Biol., 14, e1002415,  <a href="https://doi.org/10.1371/journal.pbio.1002415" target="_blank">https://doi.org/10.1371/journal.pbio.1002415</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Zhang et al.(2010)</label><mixed-citation>
Zhang, W., Meng, Q., Ma, M., and Zhang, Y.: Lightning casualties and damages in China from 1997 to 2009, Nat. Hazards, 57, 465–476,  <a href="https://doi.org/10.1007/s11069-010-9628-0" target="_blank">https://doi.org/10.1007/s11069-010-9628-0</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Zipser et al.(2006)</label><mixed-citation>
Zipser, E. J., Cecil, D. J., Liu, C., Nesbitt, S. W., and Yorty, D. P.: Where Are the Most Intense Thunderstorms on Earth?, B. Am. Meteorol. Soc., 87, 1057–1072,  <a href="https://doi.org/10.1175/bams-87-8-1057" target="_blank">https://doi.org/10.1175/bams-87-8-1057</a>, 2006.
</mixed-citation></ref-html>--></article>
