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  <front>
    <journal-meta><journal-id journal-id-type="publisher">NHESS</journal-id><journal-title-group>
    <journal-title>Natural Hazards and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1684-9981</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/nhess-20-1097-2020</article-id><title-group><article-title>Satellite hydrology observations as operational indicators of forecasted fire danger across the contiguous United States</article-title><alt-title>Satellite hydrology observations as indicators of forecasted fire danger in the USA</alt-title>
      </title-group><?xmltex \runningtitle{Satellite hydrology observations as indicators of forecasted fire danger in the USA}?><?xmltex \runningauthor{A. Farahmand et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Farahmand</surname><given-names>Alireza</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Stavros</surname><given-names>E. Natasha</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6657-7310</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Reager</surname><given-names>John T.</given-names></name>
          <email>john.reager@jpl.nasa.gov</email>
        <ext-link>https://orcid.org/0000-0001-7575-2520</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Behrangi</surname><given-names>Ali</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7594-8793</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Randerson</surname><given-names>James T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Quayle</surname><given-names>Brad</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Jet Propulsion Laboratory, California Institute of Technology,
Pasadena, CA, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Hydrology and Atmospheric Sciences, University of Arizona, Tucson, AZ, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth System Science, University of California, Irvine, CA, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Geospatial Technology and Applications Center, USDA Forest Service, 2222 West 2300 South, Salt Lake City, UT, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">John T. Reager (john.reager@jpl.nasa.gov)</corresp></author-notes><pub-date><day>24</day><month>April</month><year>2020</year></pub-date>
      
      <volume>20</volume>
      <issue>4</issue>
      <fpage>1097</fpage><lpage>1106</lpage>
      <history>
        <date date-type="received"><day>16</day><month>April</month><year>2019</year></date>
           <date date-type="rev-request"><day>2</day><month>May</month><year>2019</year></date>
           <date date-type="rev-recd"><day>15</day><month>January</month><year>2020</year></date>
           <date date-type="accepted"><day>8</day><month>March</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 </copyright-statement>
        <copyright-year>2020</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://nhess.copernicus.org/articles/.html">This article is available from https://nhess.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e146">Traditional methods for assessing fire danger often depend on meteorological
forecasts, which have reduced reliability after <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> d.
Recent studies have demonstrated long lead-time correlations between
pre-fire-season hydrological variables such as soil moisture and later fire
occurrence or area burned, yet the potential value of these relationships for
operational forecasting has not been studied. Here, we use soil moisture
data refined by remote sensing observations of terrestrial water storage
from NASA's Gravity Recovery and Climate Experiment (GRACE) mission and vapor pressure deficit from NASA's Atmospheric Infrared Sounder (AIRS)
mission to generate monthly predictions of fire danger at scales
commensurate with regional management. We test the viability of predictors
within nine US geographic area coordination centers (GACCs) using regression
models specific to each GACC. Results show that the model framework improves
interannual wildfire-burned-area prediction relative to climatology for all
GACCs. This demonstrates the importance of hydrological information to
extend operational forecast ability into the months preceding wildfire
activity.</p>
  </abstract>
    </article-meta>
  <notes notes-type="copyrightstatement">
  
      <p id="d1e166">This research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (NASA). © 2020.</p>
</notes></front>
<body>
      


<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e177">Fires are a key disturbance globally, acting as a catalyst for terrestrial
ecosystem change and contributing significantly to both carbon emissions (Page et al., 2002) and changes in surface
albedo (Randerson
et al., 2006). Furthermore, the socioeconomic impact of fires includes human casualties as tremendous economic loss across the United States. For example, the year 2018 was the largest fire year on record, resulting in approximately USD 3 billion in suppression costs (<uri>https://www.nifc.gov/fireInfo/fireInfo_documents/SuppCosts.pdf</uri>; last access: 17 April 2020). Several studies have shown
that in the western United States, fires have demonstrated a positive trend in annual
area burned that will likely continue into the future (Littell et
al., 2010; Stavros et al., 2014b). In response to increasing annual area
burned and detrimental losses, the US Forest Service has increased funding
for active fire management from 16 % to 52 % of their total budget that
would have otherwise been spent on land management and research (USFS, 2015). These increased costs translate directly
to increased USFS (United States Forest Service) information needs because
any intra- or interannual early warning helps decrease the cost of preparing
for, managing and, when necessary, suppressing fires that occur.</p>
      <p id="d1e183">The severe consequences of wildfires motivate the need for capabilities to
map fire potential on timescales ranging from days to months. Operational
fire management agencies rely on two primary sources of information to
predict fire danger: meteorological forecasts and expert judgment<?pagebreak page1098?> (e.g.,
<uri>https://www.predictiveservices.nifc.gov/outlooks/outlooks.htm</uri>; last access: 17 April 2020). Fire danger forecasts are generally reported in the form of
qualitative categories (e.g., normal, below-normal and above-normal). Such
categories are used by the US National Interagency Fire Center (NIFC) to
allocate fire management resources across jurisdictional boundaries (e.g.,
state or national) when local response capabilities are exhausted. These
qualitative metrics are derived from many information layers including fire
danger indices.</p>
      <p id="d1e189">Fire danger indices (e.g., the US National Fire Danger Rating System –
NFDRS; Bradshaw et al., 1984) typically use
meteorological input (Abatzoglou
and Brown, 2012; Holden and Jolly, 2011) that is sometimes not available
with the long lead time needed for regional, transboundary fire management
planning. Gridded meteorological data often have several limitations. The
data are interpolated between weather stations (Daly et al., 2008); developed
by combing spatial and temporal attributes of different climate data and
validated with weather stations (Abatzoglou, 2013; Abatzoglou and
Brown, 2012); or provided by meteorological reanalysis, i.e., numerical
weather prediction models that assimilate weather station data (Kalnay et al., 1996; Roads
et al., 1999). These weather stations are sometimes far away from the
location of interest and do not always provide good estimates of local climate,
especially in complex topography. Moreover, forecasts beyond 10 d for a
given landscape location have low skill (Bauer et al., 2015). The
mentioned limitations of current operational fire danger systems result in
the need for additional information that could help improve predictions of
fire danger at monthly intervals and help allocate resources across the
country as the active fire season progresses and resources become strained.
This added information could result in less subjective and more accurate
fire danger forecasts for larger areas and for timescales of a month or
longer.</p>
      <p id="d1e192">A number of previous studies have demonstrated relationships between fire
and hydrological indicators (Parks et
al., 2014; Shabbar et al., 2011; Westerling et al., 2002; Xiao and Zhuang,
2007). Vapor pressure deficit (VPD), specifically, has been shown as an
indicator of fire danger (Abatzoglou
and Williams, 2016; Seager et al., 2015; Williams et al., 2014) and is
considered a viable proxy for evapotranspiration demand and plant water
stress during drought (Behrangi et al., 2016; Weiss
et al., 2012). VPD is defined as the amount of moisture in the air compared
to the amount of moisture the air can hold. Behrangi et al. (2016) show that VPD on a monthly timescale has the advantage of capturing
onsets of meteorological droughts earlier than other variables such as
precipitation. This advantage could be helpful in developing fire danger
forecast models. More recently, a study using model-assimilated observations
of terrestrial water storage from NASA's Gravity Recovery and Climate Experiment (GRACE) mission to assess
pre-fire-season surface soil moisture conditions (January–April)
demonstrated skill in predicting both the number of fires and fire-burned
area in the following May–April period (Jensen et al., 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e198">Snapshot of August 2010 of the datasets used in relation to the
geographic area coordination centers (GACCs). Panel <bold>(e)</bold> shows the long-term mean
of August GFED burned area. GACC regions are (1) Eastern, (2) Northern California (CA), (3) Northern Rockies, (4) Northwest, (5) Rocky Mountain, (6) Southern CA, (7) Southern, (8) Southwest and (9) Great Basin.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/20/1097/2020/nhess-20-1097-2020-f01.png"/>

      </fig>

      <p id="d1e210">The goal of this work is to investigate the utility of remotely sensed
hydrology observations for predicting fire danger, defined as the amount of
area likely to burn, at spatial and temporal scales commensurate with
regional and global fire management decision-making. Specifically, the
objective is to investigate the utility of remotely sensed
satellite-observed vapor pressure deficit (VPD) from NASA's Atmospheric Infrared Sounder (AIRS) mission and
surface soil moisture (SSM) from a numerical data assimilation of
terrestrial water storage from NASA's GRACE mission as indicators for
predicting monthly fire danger across the United States from 2002 until 2016
at the scale of the geographic area coordination centers (GACCs; Fig. 1). To meet the objective, we test the hypothesis that
burned area varies monthly as a function of previous months' water
availability in the soil (SSM) and evaporative demand (i.e., previous
months' VPD).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Datasets</title>
      <p id="d1e228">For the purpose of this study, four input datasets were used (Fig. 1).
First, monthly VPD (Fig. 1a) was generated from the AIRS near-surface air
temperature (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and relative humidity (RH) version 6 (Aumann et al., 2003; Goldberg
et al., 2003). Please refer to Behrangi et al. (2016) for the formulation
based on monthly air temperature (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and dew point temperature
(Td<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">mean</mml:mi></mml:msub></mml:math></inline-formula>) as well as the reliability of this formulation for monthly VPD
derivation. The data are at a 0.5<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial resolution and have been available
since September 2002. The second input to the model was monthly surface soil
moisture data (Fig. 1b), produced at the NASA Goddard Space Flight
Center (GSFC) using the catchment land surface model (CLSM; a physically
based land surface model) and assimilated ground- and space-based
meteorological observations (Houborg et al., 2012; Reager et
al., 2015; Tapley et al., 2004; Zaitchik et al., 2008). The SSM data have been
available since April 2004 and are at a 0.25<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial resolution. The third
dataset was the Global Fire Emissions Database version 4 (GFED-4s), which provided
wildfire-burned area, generated at a 0.25<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial resolution. GFED-4s
is primarily derived from MODIS from 2001 to present and is reported as fraction of a cell burned for a given month (van der
Werf et al., 2017). GFED data have been available since 1997. Figure 1c shows GFED
burned area in August 2010, while Fig. 1e shows the long-term August burned area
in square kilometers. As shown, wildfires occur all around the contiguous United States (CONUS) in August. The
amount of area burned however is considerably larger in the western United States,
such as in the Northern Rockies, Northwest, Rocky Mountain and Northern
California GACCs. Finally, in this study, we have excluded agricultural fires by
masking<?pagebreak page1099?> out agricultural regions as classified by the 2011 National
Land Cover Database (Fig. 1d; Homer et al., 2015).</p>
      <p id="d1e290">For consistency, all datasets were converted using linear interpolation into
monthly 0.25<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spatial-resolution products that were then used to
perform the model training and analysis for the period 2003 through 2016.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Analysis</title>
      <p id="d1e310">GACCs are marked by geopolitical boundaries that also denote similar fire weather types
and are used to allocate fire management resources across the contiguous
United States (CONUS; Abatzoglou and Kolden, 2013;
Finco et al., 2012; Fig. 1). In this study, we predict anomalous monthly
burned area using a linear regression model; a separate model is developed
for each GACC and for each month in a climatological sense. All fire events,
for a given GACC and a month of the year, are selected as a single population
for model training. For example, all fires occurring in the Northern Rockies
GACC, during the months of February 2004, February 2005, February 2006, etc.
through February 2016, are placed into a single population. Each monthly
0.25<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> fire-burned area observation has a matched SSM and VPD
observation at the corresponding time and grid location. These sets are then
used to train the model, and various time lags are imposed between the
independent variables (SSM and VPD) and the dependent variable (burned area)
in order to maximize predictive skill.</p>
      <p id="d1e322">Each GACC uses the best prior VPD–SSM combination for all months. The
best model was identified for each GACC by selecting the model with the
lagged input that represents the highest-weighted Nash–Sutcliffe efficiency
(<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>):
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M11" display="block"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">12</mml:mn></mml:msubsup><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">FAB</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">FAB</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mean historical fraction of annual area burned in
month <inline-formula><mml:math id="M13" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the Nash–Sutcliffe (<inline-formula><mml:math id="M15" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>) for any given month (<inline-formula><mml:math id="M16" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>).
<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Nash and Sutcliffe, 1970) is a metric that measures
the skill of the model against the skill of the long-term mean value (i.e.,
persistence), defined as
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M18" display="block"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mrow><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mrow><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mrow><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M19" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is total number of observations, <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mrow><mml:mi mathvariant="normal">obs</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
observed area burned in month <inline-formula><mml:math id="M21" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mrow><mml:mi mathvariant="normal">s</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the model-simulated area
burned for month <inline-formula><mml:math id="M23" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">C<?pagebreak page1100?></mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mean area burned in month <inline-formula><mml:math id="M25" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> over
the climatological record. <inline-formula><mml:math id="M26" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> can range between <inline-formula><mml:math id="M27" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>infinity and 1. An <inline-formula><mml:math id="M28" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> value of zero
shows that the model performance is as good as the mean of observations over
the entire record. If <inline-formula><mml:math id="M29" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> exceeds 0, the model performs better than the mean
of observations, and if <inline-formula><mml:math id="M30" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> falls below zero, the mean of observations is a
better predictor than the model simulations. An <inline-formula><mml:math id="M31" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> of 1 represents the
perfect prediction by the model.</p>
      <p id="d1e641">We constructed a forecasting method that would only rely on the model
prediction of burned area, as opposed to the burned-area climatology, if the
model had demonstrated skill for a given month. The estimation of <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
for each GACC and for each monthly model ensures that months with higher
predictive skill are assigned a higher weight in the combined time series.
Also, months exhibiting a higher amount of historical wildfire activity are
assigned a higher weight.</p>
      <p id="d1e655">The model is then defined as follows:
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M33" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where

                <disp-formula specific-use="gather"><mml:math id="M34" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>×</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">VPD</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mo>×</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SM</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mspace width="1em" linebreak="nobreak"/><mml:mtext>if  </mml:mtext><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">AB</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mspace width="1em" linebreak="nobreak"/><mml:mtext>if  </mml:mtext><mml:msub><mml:mi>E</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            AB<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:math></inline-formula> is the simulated area burned for a given month; AB<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:math></inline-formula> is the
climatological area burned or the mean annual area burned by month;
VPD<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:math></inline-formula> and SSM<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:math></inline-formula> are the anomalous VPD and SSM in the 1, 2 or 3
months prior to the wildfire month. Different combinations of prior VPD and
SSM observations were tested to represent the reliability of a single
VPD–SSM model per GACC for the entire year.</p>
      <p id="d1e808">Finally, AB<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:math></inline-formula> is compared to AB<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:math></inline-formula> by comparing two Nash–Sutcliffe
(<inline-formula><mml:math id="M41" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>) values of the entire time series. The first <inline-formula><mml:math id="M42" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> value is measured using the
2003–2016 monthly time series of model predictions and observations (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">simulated</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">observation</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). The second <inline-formula><mml:math id="M44" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> value is computed by using 2003–2016
monthly time series of climatology and observations (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">climatology</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">observation</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). If <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">simulated</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">observation</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> exceeds <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">climatology</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">observation</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, the model has more accuracy compared to the
climatology. If <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">climatology</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">observation</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is greater than
<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">simulated</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">observation</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, then the climatology has more accuracy in
forecasting wildfire activity.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d1e956">Figure 2 shows the hydrologic-variable combination used to develop the best
model of burned-area forecast using the monthly Nash–Sutcliffe coefficient (<inline-formula><mml:math id="M50" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>), the
weighted Nash–Sutcliffe coefficient (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and the fraction of annual area burned
for each month, while Table 1 shows the best variable combination for each
GACC. There are some notable patterns, though few without exceptions. For
example, Northern California, Northern Rockies and Northwest all have
the same peak month (August) for area burned while also having significant
fractions of evergreen vegetation (Fig. 1). Area burned in Great Basin
also peaks in August; however it does not have substantial evergreen
land cover, although at this spatial scale we can not determine if that is
where fires happen. The models with the highest relative predictive ability
throughout the year (denoted by weighted Nash–Sutcliffe coefficient) are generally in
the GACCs with substantial land cover and dominated by fuel-limited systems
(herbaceous and shrublands): Great Basin, Southern California, Rocky
Mountain, Northwest and Northern Rockies; however, Southwest also has
heavy herbaceous vegetation but has relatively low predictability throughout
the year. To reiterate, Northern Rockies, Northwest, Rocky Mountain and
Great Basin are all substantially covered by herbaceous vegetation, but they have high predictability in their peak burned-area month, unlike Southwest. One pattern that is robust is that Great Basin, Southwest,
and Southern California all rely on 1-month lead-time soil moisture in their
predictive model and all also have substantial shrubland cover. Notably, the
Eastern, Northern Rockies, Rocky Mountain, Southern California and Southern
GACCs all have bimodal burned-area distributions but no similar land cover
characteristics to explain the pattern.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e979">Best-model selection based on the monthly Nash–Sutcliffe coefficient for each
GACC. The blue line shows variable peak fire month by mean annual area
burned (FAB), and the orange line shows the monthly Nash–Sutcliffe coefficient for each
GACC showing variable peak fire month. The weighted Nash–Sutcliffe coefficient is
calculated using the different combinations of VPD and SSM. The best model
was selected based on the highest <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value, which demonstrates the
relative strength of the different models by GACC.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/20/1097/2020/nhess-20-1097-2020-f02.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1002">Overall model performance and separate influence of individual
hydrologic variables. We use Nash–Sutcliffe coefficients to describe the
combined surface soil moisture (SSM) and vapor pressure deficit (VPD) simulation
performance (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the climatology performance (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and the individual predictor performance (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">VPD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ssm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) vs. the
observations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GACC</oasis:entry>
         <oasis:entry colname="col2">AB<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">VPD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ssm</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Eastern</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.51</oasis:entry>
         <oasis:entry colname="col4">0.37</oasis:entry>
         <oasis:entry colname="col5">0.14</oasis:entry>
         <oasis:entry colname="col6">0.42</oasis:entry>
         <oasis:entry colname="col7">0.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northern California</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.44</oasis:entry>
         <oasis:entry colname="col4">0.22</oasis:entry>
         <oasis:entry colname="col5">0.22</oasis:entry>
         <oasis:entry colname="col6">0.29</oasis:entry>
         <oasis:entry colname="col7">0.33</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northern Rockies</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.64</oasis:entry>
         <oasis:entry colname="col4">0.38</oasis:entry>
         <oasis:entry colname="col5">0.26</oasis:entry>
         <oasis:entry colname="col6">0.63</oasis:entry>
         <oasis:entry colname="col7">0.39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northwest</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.58</oasis:entry>
         <oasis:entry colname="col4">0.28</oasis:entry>
         <oasis:entry colname="col5">0.30</oasis:entry>
         <oasis:entry colname="col6">0.46</oasis:entry>
         <oasis:entry colname="col7">0.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rocky Mountain</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.82</oasis:entry>
         <oasis:entry colname="col4">0.51</oasis:entry>
         <oasis:entry colname="col5">0.31</oasis:entry>
         <oasis:entry colname="col6">0.64</oasis:entry>
         <oasis:entry colname="col7">0.61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southern California</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.35</oasis:entry>
         <oasis:entry colname="col4">0.19</oasis:entry>
         <oasis:entry colname="col5">0.16</oasis:entry>
         <oasis:entry colname="col6">0.25</oasis:entry>
         <oasis:entry colname="col7">0.29</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southern</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.64</oasis:entry>
         <oasis:entry colname="col4">0.57</oasis:entry>
         <oasis:entry colname="col5">0.07</oasis:entry>
         <oasis:entry colname="col6">0.63</oasis:entry>
         <oasis:entry colname="col7">0.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southwest</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.34</oasis:entry>
         <oasis:entry colname="col4">0.16</oasis:entry>
         <oasis:entry colname="col5">0.18</oasis:entry>
         <oasis:entry colname="col6">0.28</oasis:entry>
         <oasis:entry colname="col7">0.23</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Great Basin</oasis:entry>
         <oasis:entry colname="col2">VPD<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SSM<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.47</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">0.17</oasis:entry>
         <oasis:entry colname="col6">0.43</oasis:entry>
         <oasis:entry colname="col7">0.37</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1647">The impact of hydrologic predictors on best- and worst-performing
Geographic Area Coordination Center (GACC) models. Monthly time series
from 2003 through 2016 show the GACCs with the best <bold>(a–c)</bold> and worst <bold>(d–f)</bold>
coupled response of burned area <bold>(c, f)</bold> to vapor pressure deficit anomaly <bold>(b, e)</bold> and soil moisture anomaly <bold>(a, d)</bold>, thus demonstrating the respective
value added by these variables in the modeled burned area (simulation in
orange) compared to the climatology (yellow) and the observations
(blue). BA denotes burned area.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/20/1097/2020/nhess-20-1097-2020-f03.png"/>

      </fig>

      <p id="d1e1671">Figure 3 shows two example cases of model predictions based on hydrological
variables. We show results for our best- and worst-performing GACC in order
to capture the range of model skill in different fire climate regions. For
our best preforming GACC, Northern Rockies, we see consistent peaks in
between the dominant hydrologic variable, VPD, and the fire area burned,
suggesting the dominant role of VPD in fire-burned-area prediction for that
GACC (Table 1). These strong relationships between hydrology and wildfire
occurrence in Northern Rockies confirm the findings of the previous
studies (Littell et al., 2009; Westerling et
al., 2011). For our worst-performing GACC, Southern, two hydrologic
variables are seemingly much more connected and it is less clear what drives
the pattern of monthly area burned.</p>
      <p id="d1e1674">In order to evaluate the model predictions against the observations, we have
calculated two Nash–Sutcliffe coefficients (Table 1). As shown, for all
GACCs, the model forecasts the wildfire activity with higher accuracy
than it does the climatology, but the improvement is variable by GACC. The results
reveal that the Rocky Mountain and Northern Rockies GACCs have the best
model performance (<inline-formula><mml:math id="M82" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> of 0.82 and 0.64, respectively), while the Southwest and
Southern CA GACCs (<inline-formula><mml:math id="M83" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> of 0.34 and 0.35, respectively) show the worst model
performance. Similar to the time series of the Eastern and Southern GACCs,
the model has not improved the climatology to a great extent. In all other
regions, the improvement of the simulated performance compared to the climatology is
substantial. The key difference between the overall evaluation metric
(<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mtext>S-C</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and the time series is that the time series demonstrate the
variability in predictive ability from month to month.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1704">The ability of the regional models to predict (orange) the
observed burned area (blue) is improved with the climatology (yellow), which
demonstrates the ability to capture interannual variability by Geographic
Area Coordination Center.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/20/1097/2020/nhess-20-1097-2020-f04.png"/>

      </fig>

      <?pagebreak page1103?><p id="d1e1713">Figure 4 shows the time series of wildfire-burned-area observation (blue),
simulation (red) and climatology (yellow) for nine different GACCs from 2003
through 2016. This figure shows that the performance of the models varies by
location and month. In general, the models capture interannual variability
for most GACCs. Notably in Fig. 4, some months show the simulation has
higher agreement with the observations than the climatology does. In the
southern GACCs, model performance is relatively similar to the climatology.
In the Southern GACC, both the simulation and climatology indicate close
agreement with the observations. Northern Rockies and Rocky Mountain
show the highest agreement between model and observations in the higher-than-normal fire years. Specifically, in Northern Rockies, the model detects
expected burned area for the above-normal fire activity years 2003,
2006, 2007 and 2012; and in the Rocky Mountain GACC, years 2006, 2008,
2009, 2011, 2015 and 2016 show high agreement between the simulations and the
observations. The model also detects higher-than-normal fire activity in
Northern California, years 2012, 2014 and 2015; Northwest, years 2006, 2007,
2012, 2014 and 2015; Great Basin, years 2006, 2007, 2012 and 2013; and
Eastern for years 2004 and 2012. Lastly, the simulation
outperforms the climatology slightly for Southern CA and Southwest.
However, neither the model nor the climatology has detected interannual fire
activity for these regions with high accuracy.</p>
      <p id="d1e1717">Lastly, the models were built using only either VPD or SSM to determine the
relative influence of either variable on burned area within each GACC (Table 1, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">VPD</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">SSM</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>). For some of the GACCs, the influence of the
variable appears to be associated with the relative fractions of land cover
influenced by that variable. For example, in Northern Rockies, it is
roughly half evergreen forest and half herbaceous (Fig. 1); evergreen
forest typically needs to be dry to sustain combustion (high VPD in the
month prior), while herbaceous communities typically need wet conditions
in the months prior to grow fuels (high SSM 2 months prior; Littell et al., 2009; Stavros et al., 2014a).
Similarly, in Northwest it is roughly half evergreen (high VPD 2 months prior) and half shrub (high SSM 3 months prior). Rocky
Mountain is mostly herbaceous and shrubland (high SSM 3 months prior)
but has some evergreen (high VPD 1 month prior). In Northern California,
land cover is mostly evergreen (high VPD 1 month prior) with some shrub
(high soil moisture 2 months prior). The other GACCs have less obvious
relationships between land cover and hydrology.</p>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion and conclusion</title>
      <p id="d1e1761">Wildfire activity results in billions of dollars of losses every year. Forecasting wildfire activity
could therefore substantially reduce the damage associated with wildfire-burned area. Historical wildfire prediction models have limitations
including the mismatch in scale between fire danger models and common
application as well as the unreliability of meteorological data in remote
regions. As such, current operational wildfire forecast models for forecasts
&gt;10 d are heavily based on subjective expert knowledge to
predict expected area burned. Thus, the aim of this study was to predict
area burned in different geographic regions (GACCs) of the United States.</p>
      <p id="d1e1764">There are some notable patterns in predictive-model development across GACCs
largely driven by land cover fractional cover and mesoscale climate (Table 1). The Great Basin, Southwest and Southern California GACCs all have
substantial shrubland cover and have the same soil moisture predictor
(1-month lead time). This could be a function of the shallow rooting of shrubs.
This was the only pattern by land cover that was not contradicted by
mesoscale climatic influence. For example, the Great Basin, Southern
California, Rocky Mountain, Northwest and Northern Rockies models have the
highest predictive ability throughout the year (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and have
substantial land cover dominated by fuel-limited systems (grasslands and
shrublands). Fuel-limited systems typically rely on pre-fire-season
conditions to grow fuels that carry fire, thus influencing the total burned
area (Stavros et al., 2014a; Swetnam and Betancourt,
1998). Although Southwest also has heavy grasslands, it has a relatively
low predictability throughout the year but is the GACC most influenced by
the southwest monsoon, which can have a variable onset that affects the fire
season (Grissino Mayer and Swetnam, 2000). The southwest monsoon
also explains why Northern Rockies, Northwest, Rocky Mountain and Great
Basin all have high predictability in their peak burned area month, but
Southwest (also substantially covered by grasslands) does not. Further
substantiating the claim that mesoscale climate affects model predictability
is the fact that Southern California has a bimodal distribution of fire area
burned throughout the year. According to Jin et al. (2014),
there are two different kinds of fire in Southern California (those in the
summer driven by hot and dry conditions and those in the fall driven by
Santa Ana winds), and each has different climatic conditions explaining the
number of fires and burned area.</p>
      <p id="d1e1778">Beyond climate and land cover, humans play a significant role in the
predictability of area burned (Balch et al., 2017). This
explains the bimodal fire distributions found in the Eastern, Northern
Rockies, Rocky Mountain and Southern GACCs. Most of the fires in the
Eastern and Southern GACCs are prescribed burns, which can happen throughout
the year (as denoted by the relatively flat, although slight bimodal,
distributions of percent annual area burned by month – Table 1). Also,
there is a notable decoupling of the relationship between hydrologic
variables and burned area (Fig. 4) in the Southern GACC, which has mostly
anthropogenic fire ignitions, as compared to Northern Rockies, which has
mostly lightning-caused ignitions when burned area peaks in fall (Fig. 2).
This also explains why the simulation performs closely to the climatology
(Fig. 3), with only minor improvements in Nash–Sutcliffe coefficients as compared to
other GACCs (Table 1). Notably, the GACCs that have a strong bimodal
distribution perform less well than those that do not; however in all GACCs
with bimodal distributions (Fig. 2), there are substantial croplands
(which were excluded from the analysis) where agricultural burning occurs
independent of the hydrologic conditions (Fig. 1).</p>
      <p id="d1e1781">Mesoscale climate (e.g., monsoons) and anthropogenic influence on fire
regimes have likely less direct relationships with burned area than hydrologic variables
do. Specifically, the GACCs that are more influenced by
mesoscale climate (Southern California and Southwest) and by
anthropogenic burning (Southern and Eastern) did not show a clear
association between the relative influence of the hydrologic variable and the
relative fractions of land cover, unlike Northern Rockies, Northwest,
Northern California or Rocky Mountain.</p>
      <p id="d1e1785">In general, this work demonstrates how lead data on hydrologic variables
that can be measured by satellite (i.e., not limited by proximity to in situ
infrastructures) can be used<?pagebreak page1104?> to forecast fire danger 1 month before it
happens. In all geographic regions, the models improved the fire danger forecast compared to the climatology (Table 1) and demonstrated the ability to capture interannual variability (Fig. 2). Future work should consider how these models are developed by land cover
type and if there are different models based on how that land cover type is
typically managed (e.g., cropland vs. forest).</p>
</sec>

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

      <p id="d1e1792">The data used for this study are freely available for the vapor pressure deficit (VPD),
<uri>https://airs.jpl.nasa.gov/data/get_data</uri> (NASA, 2020); surface soil moisture (SSM), <uri>https://nasagrace.unl.edu/</uri> (NASA-NDMC, 2020); fire-burned area, <uri>https://www.globalfiredata.org/data.html</uri> (GFED, 2020); and land cover map, <uri>https://www.mrlc.gov/data</uri> (MRLC, 2020).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1810">AF, ENS, JoTR, AB and JaTR designed the study. AF performed the data analysis, developed the model algorithm and produced the figures. AF performed the validation. AF wrote the manuscript with major contributions from ENS and further input from all coauthors. AF led the revision with contributions from ENS and JoTR. JoTR managed the project schedule and budget. BQ provided guidance for the operational application of the model.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1816">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1822">We would like to acknowledge Ed Delgado, at the National Interagency Fire Center
(NIFC).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1827">This research has been supported by the Jet Propulsion Laboratory research and technological development program in Earth Sciences.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1833">This paper was edited by Vassiliki Kotroni and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Satellite hydrology observations as operational indicators of forecasted fire danger across the contiguous United States</article-title-html>
<abstract-html><p>Traditional methods for assessing fire danger often depend on meteorological
forecasts, which have reduced reliability after  ∼ 10&thinsp;d.
Recent studies have demonstrated long lead-time correlations between
pre-fire-season hydrological variables such as soil moisture and later fire
occurrence or area burned, yet the potential value of these relationships for
operational forecasting has not been studied. Here, we use soil moisture
data refined by remote sensing observations of terrestrial water storage
from NASA's Gravity Recovery and Climate Experiment (GRACE) mission and vapor pressure deficit from NASA's Atmospheric Infrared Sounder (AIRS)
mission to generate monthly predictions of fire danger at scales
commensurate with regional management. We test the viability of predictors
within nine US geographic area coordination centers (GACCs) using regression
models specific to each GACC. Results show that the model framework improves
interannual wildfire-burned-area prediction relative to climatology for all
GACCs. This demonstrates the importance of hydrological information to
extend operational forecast ability into the months preceding wildfire
activity.</p></abstract-html>
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