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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-15-6087-2018</article-id><title-group><article-title>Life cycle of bamboo in the southwestern Amazon and<?xmltex \hack{\break}?> its relation to fire events</article-title><alt-title>Life cycle of bamboo in the southwestern Amazon</alt-title>
      </title-group><?xmltex \runningtitle{Life cycle of bamboo in the southwestern Amazon}?><?xmltex \runningauthor{R.~Dalagnol et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Dalagnol</surname><given-names>Ricardo</given-names></name>
          <email>ricds@hotmail.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wagner</surname><given-names>Fabien Hubert</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9623-1182</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Galvão</surname><given-names>Lênio Soares</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Nelson</surname><given-names>Bruce Walker</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0488-6895</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Aragão</surname><given-names>Luiz Eduardo Oliveira e Cruz de</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Remote Sensing Division, National Institute for Space Research –  INPE,<?xmltex \hack{\break}?> São José dos Campos, SP, 12227-010, Brazil</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Environmental Dynamics Department, National Institute of Amazonian Research – INPA,<?xmltex \hack{\break}?> Manaus, AM, 69067-375, Brazil</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>College of Life and Environmental Sciences, University of Exeter, EX4 4RJ, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ricardo Dalagnol (ricds@hotmail.com)</corresp></author-notes><pub-date><day>18</day><month>October</month><year>2018</year></pub-date>
      
      <volume>15</volume>
      <issue>20</issue>
      <fpage>6087</fpage><lpage>6104</lpage>
      <history>
        <date date-type="received"><day>25</day><month>April</month><year>2018</year></date>
           <date date-type="rev-request"><day>2</day><month>May</month><year>2018</year></date>
           <date date-type="rev-recd"><day>25</day><month>September</month><year>2018</year></date>
           <date date-type="accepted"><day>29</day><month>September</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018.html">This article is available from https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018.pdf</self-uri>
      <abstract>
    <p id="d1e136">Bamboo-dominated forests comprise 1 % of the world's forests
and 3 % of the Amazon forests. The <italic>Guadua</italic> spp. bamboos that
dominate the southwest Amazon are semelparous; thus flowering and fruiting
occur once in a lifetime before death. These events occur in massive
spatially organized patches every 28 years and produce huge quantities of
necromass. The bamboo–fire hypothesis argues that increased dry fuel after
die-off enhances fire probability, creating opportunities that favor bamboo
growth. In this study, our aim is to map the bamboo-dominated forests and
test the bamboo–fire hypothesis using satellite imagery. Specifically, we
developed and validated a method to map the bamboo die-off and its spatial
distribution using satellite-derived reflectance time series from the
Moderate Resolution Imaging Spectroradiometer (MODIS) and explored the
bamboo–fire hypothesis by evaluating the relationship between bamboo die-off
and fires detected by the MODIS thermal anomalies product in the southwest
Amazon. Our findings show that the near-infrared (NIR) is the most sensitive
spectral interval to characterize bamboo growth and cohort age. Automatic
detection of historical bamboo die-off achieved an accuracy above 79 %.
We mapped and estimated 15.5 million ha of bamboo-dominated forests in the
region. The bamboo–fire hypothesis was not supported because only a small
fraction of bamboo areas burned during the analysis timescale, and, in
general, bamboo did not show higher fire probability after the die-off.
Nonetheless, fire occurrence was 45 % higher in dead than live bamboo in
drought years, associated with ignition sources from land use, suggesting a
bamboo–human–fire association. Although our findings show that the observed
fire was not sufficient to drive bamboo dominance, the increased fire
occurrence in dead bamboo in drought years may contribute to the maintenance
of bamboo and potential expansion into adjacent bamboo-free forests. Fire can
even bring deadly consequences to these adjacent forests under climate change
effects.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e149">Bamboo-dominated forests represent 1 % of global forests. They occur in
tropical, subtropical and mild temperate zones and are found mainly in Asia
(24 million ha), South America (10 million ha) and Africa (2.8 million ha)
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.1"/>. Their spatial distribution is likely underestimated in
South America as a recent study showed that these forests cover at least
16.15 million ha of Amazonian forests over Brazil, Peru and Bolivia
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.2"/>.</p>
      <?pagebreak page6088?><p id="d1e158">Bamboo is a major forest product that plays an important economic and
cultural role in the Amazon. It has been used for over a millennium by
indigenous people for shelter, food, fuel, hunting, fishing and musical
instruments <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx38" id="paren.3"/>. The first studies on the
distribution of these forests in the Amazon region postulated that they
occurred as a consequence of human disturbance or were deliberately planted
<xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx3" id="paren.4"/>. However, recent phytolith analysis revealed
that bamboo dominated these forests before human occupation in South America
<xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx46" id="paren.5"/>.</p>
      <p id="d1e170">In the southwest Amazon, the predominant forest type is non-flooded
open-canopy rain forest on <italic>terra firme</italic>, often dominated by
<italic>Guadua</italic> bamboos and mostly (93 %) preserved <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx44" id="paren.6"/>. In bamboo-dominated areas, two species of semi-scandent woody
bamboos predominate: <italic>Guadua weberbaueri</italic> Pilger and <italic>Guadua sarcocarpa</italic> Londoño &amp; Peterson. Like many other woody bamboo species,
these <italic>Guadua</italic> bamboos are semelparous, producing flowers and fruits
once in a lifetime before dying <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx15" id="paren.7"/>. Flowering,
fruiting and death can be massive and highly synchronized in space and time.
Their diameter at breast height ranges from 4 to 24 cm
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.8"/>. Height is up to 30 m but usually varies from 10 to 20 m
<xref ref-type="bibr" rid="bib1.bibx26" id="paren.9"/>. The juvenile bamboos usually reach the sunlit portion of
canopy by 10 years of age, when they accelerate in growth <xref ref-type="bibr" rid="bib1.bibx41" id="paren.10"/>.
They do not form continuous pure stands, being mixed among the trees, yet
achieve remarkable high densities (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">2309</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1149</mml:mn></mml:mrow></mml:math></inline-formula> ind ha<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and have
significant ecological impacts <xref ref-type="bibr" rid="bib1.bibx6" id="paren.11"/>. Thus, these forests
support up to 40 % less tree species diversity than nearby bamboo-free
forests and from 30 % to 50 % less carbon stored as a consequence of
the lower woody tree density <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx38" id="paren.12"/>.
Bamboo-dominated forests also have elevated tree mortality rates (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> % yr<inline-formula><mml:math id="M4" 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>) <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx32" id="paren.13"/> when compared even to
the typically fast-turnover forests in the western Amazon
(2.62 % yr<inline-formula><mml:math id="M5" 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>) <xref ref-type="bibr" rid="bib1.bibx20" id="paren.14"/>. A total of 74 different bamboo
populations, that is, patches with individuals of the same internal age, have
been identified so far in the southwest Amazon, with a mean patch area of
330 km<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, and up to 2570 km<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for the largest patch
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.15"/>. The mean lifetime of these bamboos was estimated as
28 years <xref ref-type="bibr" rid="bib1.bibx5" id="paren.16"/>.</p>
      <p id="d1e302">The locally synchronized death of semi-scandent bamboos produces large
amounts of necromass in large patches over a short time. Decomposition of
dead leaves and branches is rapid, but a layer of culms can remain intact on
the forest floor for up to 3 years <xref ref-type="bibr" rid="bib1.bibx40" id="paren.17"/>. When neighboring
populations (patches) of bamboo go through reproductive events one after
another in successive years, this is known in the literature as a flowering
wave. The current hypotheses to explain this phenomenon include climatic
variations, severe environmental pressures such as floods and fire
<xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx41" id="paren.18"/> and incipient allochronic speciation –
stochastically forming small and rare temporally offset daughter patches at
the margin of an expanding parent population.</p>
      <p id="d1e312">Two main hypotheses, which are not competing but complementary, have been
proposed to explain the dominance of semi-scandent bamboos in Amazon forests.
Firstly, they cause elevated physical damage to trees by loading and
crushing, while also suppressing recruitment of late succession tree species
<xref ref-type="bibr" rid="bib1.bibx15" id="paren.19"/>. Secondly, they increase fire probability via their mast
seeding behavior followed by the synchronized death of the adult cohort,
which produces large fuel loads. The fire would then eliminate canopy trees,
form gaps and inhibit tree recruitment, while creating an optimal environment
for the bamboo seedling cohort. This latter hypothesis is called the
bamboo–fire hypothesis <xref ref-type="bibr" rid="bib1.bibx21" id="paren.20"/>. This hypothesis is attractive as
it explains how bamboos can regain dominance of the forest after
relinquishing space to trees when the adults die. Analysis of charcoal in
soils of three Amazon bamboo-dominated forests sites showed a long history of
fire occurrence <xref ref-type="bibr" rid="bib1.bibx30" id="paren.21"/>. <xref ref-type="bibr" rid="bib1.bibx41" id="text.22"/> showed that fire
disturbance favored the expansion of bamboos in the Amazon. Another study
indicated that pre-Columbian people used fire and bamboo die-off patches to
facilitate forest clearing and constructed geoglyphs, which, nowadays, can be
found under the closed-canopy forest <xref ref-type="bibr" rid="bib1.bibx31" id="paren.23"/>. Although these
studies do not support fire as the main driver of bamboo distribution
(bamboo–fire hypothesis), they show associations between the bamboo die-off
and increased fire occurrence, and potential human interactions in these processes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e332">Flowchart of the analyses.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f01.pdf"/>

      </fig>

      <p id="d1e341">Bamboo-dominated <italic>terra firme</italic> forests in the southwest Amazon can be
detected by the optical bands of orbital sensors at the adult stage, while
the borders of each internally synchronized population can be detected after
die-off events <xref ref-type="bibr" rid="bib1.bibx34" id="paren.24"/>. <xref ref-type="bibr" rid="bib1.bibx5" id="text.25"/> showed that the
near-infrared (NIR) band of the Thematic Mapper (TM)/Landsat-5 allowed the best discrimination between
bamboo-free forest, forest with adult bamboo and forest with recently dead
bamboo. Forests with adult bamboos showed higher reflectance in the NIR than
bamboo-free areas or areas with recently dead bamboo. Forests in which the
newly sprouted cohort of seedlings is confined to the understory were not
visually distinguishable from bamboo-free forest. The juvenile bamboo stays
hidden in the understory up to 10 years of age, which is the moment it starts
reaching the canopy <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx5" id="paren.26"/>. When analyzing Enhanced
Vegetation Index (EVI) data from the Moderate Resolution Imaging
Spectroradiometer (MODIS), processed by the Multi-Angle Implementation of
Atmospheric Correction (MAIAC) algorithm <xref ref-type="bibr" rid="bib1.bibx29" id="paren.27"/>,
<xref ref-type="bibr" rid="bib1.bibx45" id="text.28"/> detected some patches of adult bamboo during a climate
driver study of Amazon forest greening. The bamboo patches presented two
peaks of MODIS EVI per year (dry and wet seasons) compared to one peak
observed in the wet season over bamboo-free forest.</p>
      <p id="d1e363">Because the previous investigations used visual interpretation of satellite
data and performed manual delineation of the bamboo areas
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.29"/>, they were limited to the identification of large areas
and constrained by the analyst's visual acuity. Further studies are therefore
necessary to understand the bamboo life cycle and its spectral<?pagebreak page6089?> characteristics,
as well as to establish automatic approaches for detecting die-off events in
bamboo-dominated areas. These approaches can enable analyses of ecological
processes associated with these events, such as the interactions between
bamboo and fire <xref ref-type="bibr" rid="bib1.bibx21" id="paren.30"/>, bamboo flowering wave patterns
<xref ref-type="bibr" rid="bib1.bibx13" id="paren.31"/> and the distribution of “bamboo specialist” bird
species <xref ref-type="bibr" rid="bib1.bibx22" id="paren.32"/>.</p>
      <p id="d1e378">In this study, our aim is to map the bamboo-dominated forests and test the
bamboo–fire hypothesis. Specifically, we (i) described the tree cover and
MODIS NIR reflectance variation in areas with and without bamboo;
(ii) assessed a method to map the die-off, spatial distribution and age
structure of bamboo-dominated areas and (iii) investigated the relationship
of bamboo with fire occurrence in the southwest Amazon. We also aimed to
provide near-term, spatially resolved predictions of future bamboo behavior
to allow our method to be further tested, validated and improved over the
coming years.</p>
</sec>
<sec id="Ch1.S2">
  <title>Material and methods</title>
      <p id="d1e387">An overview of the analyses conducted in the study is presented in
Fig. <xref ref-type="fig" rid="Ch1.F1"/> and then described in detail in the subsequent
sections.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S2.SS1">
  <title>Study area</title>
      <p id="d1e398">The study area is located in the southwest Amazon between the longitudes 74
and 67<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W and latitudes 13 and 6<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, covering parts of
Brazil, Peru and Bolivia (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The predominant forest
type is non-flooded open-canopy
rain forest on <italic>terra firme</italic>, often dominated by bamboos of
<italic>Guadua</italic> genera and mostly (93 %) preserved from human
disturbances <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx44" id="paren.33"/>.</p>
      <p id="d1e431">The most important soil types are Chromic Alisol, Red-yellow
Argisol, Haplic Cambisol, Ferrocarbic Podsol, Haplic Gleysol,
Red-yellow Latosol, Chromic Luvisol and Haplic Plinthosol <xref ref-type="bibr" rid="bib1.bibx10" id="paren.34"/>.
In bamboo-dominated areas, the soils have a tendency to be more fertile,
richer in exchangeable cations, more easily eroded, more poorly drained and
more clay-rich than the soils where bamboo is excluded <xref ref-type="bibr" rid="bib1.bibx5" id="paren.35"/>.
Naturally high erosion leads to a gently rolling hilly landscape
<xref ref-type="bibr" rid="bib1.bibx31" id="paren.36"/> with muddy streams and rivers. Based on the 19-year
time series of the Tropical Rainfall Measuring Mission (TRMM) satellite,
annual rainfall ranges from 1800 to 3400 mm, with 0 to 5 dry months (i.e.,
less than 100 mm month<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The average temperature is 27 <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.
Minimum rainfall and temperature are recorded in July <xref ref-type="bibr" rid="bib1.bibx8" id="paren.37"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e470">Bamboo-dominated forests in the southwestern Amazon. The image in
the background is a false-color composite from MODIS (MAIAC) images of bands
1 (red), 2 (NIR) and 6 (shortwave infrared), in RGB, respectively, in
August 2015. The black lines indicate the perimeter of the bamboo-dominated
areas delineated in a previous study <xref ref-type="bibr" rid="bib1.bibx5" id="paren.38"/>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f02.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page6090?><sec id="Ch1.S2.SS2">
  <title>Satellite data and products</title>
<sec id="Ch1.S2.SS2.SSS1">
  <title>MODIS (MAIAC) surface reflectance data</title>
      <p id="d1e495">A time series of MODIS (MAIAC) data was preprocessed in order to map the
bamboo ages and die-off – further described in the die-off detection
section. Daily surface reflectance data were obtained from the MODIS product
MCD19A1-C6, acquired from Terra and Aqua satellites, from 2000 to 2017
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.39"/>, corrected for atmospheric effects by the MAIAC
algorithm <xref ref-type="bibr" rid="bib1.bibx29" id="paren.40"/>. The data were obtained from the NASA Center
for Climate Simulation (NCCS) repository (available at
<uri>ftp://dataportal.nccs.nasa.gov/DataRelease/</uri>, last access: 23 April
2018). We used MAIAC surface reflectance and bidirectional reflectance
distribution function (BRDF) products at spatial resolution of 1 km, daily
temporal resolution, in eight spectral bands: red, 620–670 nm (B1); NIR-1,
841–876 nm (B2); blue-1, 459–479 nm (B3); green, 545–565 nm (B4);
NIR-2, 1230–1250 nm (B5); shortwave infrared-1 (SWIR-1), 1628–1652 nm
(B6); SWIR-2, 2105–2155 nm (B7); and blue-2, 405–420 nm (B8).</p>
      <p id="d1e507">In order to minimize the differences in sun-sensor geometry between the MODIS
scenes, which could affect our time series analysis, the daily surface
reflectance was normalized to a fixed nadir view and a 45<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> solar
zenith angle using the BRDF and the Ross-Thick Li-Sparse (RTLS) model <xref ref-type="bibr" rid="bib1.bibx27" id="paren.41"/>. Parameters of
the RTLS model and BRDF kernel weights are part of the MAIAC product suite
with temporal resolution of 8 days – a period in which daily observations of
different view angles were integrated and used for BRDF parameters' retrieval. Hence, the normalized surface
reflectance, called Bidirectional Reflectance Factor (BRF<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula>), was
calculated using Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) and RTLS volumetric (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">vol</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
and geometric (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">geo</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) parameters, and BRDF isotropic
(<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">iso</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), volumetric (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">vol</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and geometric-optical
(<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">geo</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) kernel weights <xref ref-type="bibr" rid="bib1.bibx29" id="paren.42"/>.

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M19" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">BRF</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BRF</mml:mi><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">iso</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.04578</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">vol</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.10003</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">geo</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">iso</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">vol</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">vol</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">geo</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">geo</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e675">The BRF<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula> data were aggregated into 16-day composite intervals by
calculating the median on a per-pixel basis. The composites were then merged
and converted to geographic projection (datum WGS-84). All these procedures
were implemented in R language <xref ref-type="bibr" rid="bib1.bibx37" id="paren.43"/>.</p>
      <p id="d1e690">Annual composites of MODIS NIR surface reflectance data were selected for the
die-off detection. The images were selected between July and September to
minimize cloud coverage. Furthermore, during these months, the bamboo patches
at the adult stage present a well-defined phenological response (peak in
MODIS EVI), which is not present in primary forests without bamboo dominance
<xref ref-type="bibr" rid="bib1.bibx45" id="paren.44"/>. When useful data were not available in the time series
due to cloud cover or low-quality pixel retrievals, an imputation method was
applied to fill the gaps using the whole time series. As the bamboo-dominated
forests present a seasonal spectral response, the imputation was conducted by
the Seasonal and Trend decomposition using Loess method
<xref ref-type="bibr" rid="bib1.bibx7" id="paren.45"/>. This method decomposes the signal into trend, seasonal
and irregular components, interpolates the missing values and then reverts
the time series. It is effective when dealing with missing values in seasonal
signals when compared to other imputation methods <xref ref-type="bibr" rid="bib1.bibx43" id="paren.46"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>TM/Landsat-5 surface reflectance product</title>
      <p id="d1e708">A time series of TM/Landsat-5 data was obtained from 1985
to 2000 (one image per year), in order to visually detect bamboo die-off
events and create a validation dataset for die-off predictions using MODIS
(MAIAC) between 2018 and 2028 – further described in the die-off prediction
section. We selected atmospherically corrected surface reflectance images
(Landsat collection 1 Level-1) (available at <uri>https://earthexplorer.usgs.gov/</uri>, last access: 9 October 2017) from the quarter July–August–September to increase the
chances of obtaining cloud-free data and reduce spectral variations
associated with vegetation seasonality. The path row (World Reference
System 2) of the time series was 006/065, 003/066, 002/067, 003/067, 005/067
and 003/068. The acquisition dates for each path row are shown in the
Table S1 in the Supplement.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page6091?><sec id="Ch1.S2.SS2.SSS3">
  <title>Tree cover product</title>
      <p id="d1e721">In order to mask areas that were not covered by intact forests (deforested,
degraded and secondary forests, pastures and swidden fields) and to analyze
the tree cover variability of the bamboo-dominated forests, we used the
global forest cover loss 2000–2016 dataset (available at <uri>https//earthenginepartners.appspot.com/science-2013-global-forest/download_v1.4.html</uri>,
last access: 23 November 2017). The dataset is
based on Landsat time series data at 30 m spatial resolution
<xref ref-type="bibr" rid="bib1.bibx16" id="paren.47"/>, and consists of tree cover percentage, gain and loss
during 2000–2016 and a mask indicating permanent waterbodies. It was
resampled to 1 km spatial resolution using the average interpolation in
order to match the resolution of the MODIS (MAIAC) data. A mask of intact
forests was created using the tree cover data to select pixels: (i) without
permanent waterbodies, (ii) without gain or loss of tree cover during the
2000–2016 period and (iii) above a threshold of 95 % tree cover to
detect and filter out non-forested pixels.</p>
      <p id="d1e730">The tree cover product was analyzed considering the pre-existent
bamboo-dominated forest map from <xref ref-type="bibr" rid="bib1.bibx5" id="text.48"/> in order to explore the
variability of tree cover in forests with and without bamboo which might help
in mapping the bamboo-dominated forests. We expect that bamboo-dominated forests
present lower tree cover values than bamboo-free forests due to its fast
dynamics and higher mortality <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx32" id="paren.49"/>. The map from
<xref ref-type="bibr" rid="bib1.bibx5" id="text.50"/> was obtained by visual interpretation of live adult
bamboo using two Landsat mosaics 10 years apart from each other (1990 and
2000), supported by the known locations and dates of five bamboo dominated
areas. Considering only the pixels inside the bamboo-dominated map, we
calculated the 1st, 50th and 99th percentiles of the tree cover product and
generated a map showing the areas below the 1st, between the 1st and 99th
and above the 99th percentiles of tree cover. The map was qualitatively
analyzed, exploring the areas covered by each of the percentile classes.</p>
      <p id="d1e742">The tree cover percentile map was also used to assess the variability of NIR
reflectance in forests with and without bamboo in order to test if their NIR
signals were different and contributed to the bamboo-dominated forests'
mapping. We only tested the NIR because of the expected great separability
between areas with and without bamboo resultant from the higher NIR signal in
bamboo-dominated areas <xref ref-type="bibr" rid="bib1.bibx5" id="paren.51"/>. We analyzed the MODIS NIR-1
reflectance considering all pixels over time in each tree cover class:
below 1st, between 1st and 99th and above the 99th percentile. The NIR value
distributions were tested for normality using a two-sided Kolmogorov–Smirnov
test at a 1 % significance level. For normal distribution, the average
and standard deviation were computed. For skewed distribution, a more
appropriate method was applied to estimate the average, standard deviation
and skewness parameter (<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx12" id="paren.52"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <title>MODIS active fire detection product</title>
      <p id="d1e767">To test the bamboo–fire hypothesis, a fire occurrence dataset was obtained
from MODIS/Aqua satellite active fire data at 1 km spatial resolution from
the Brazilian Institute of Space Research (INPE) Burn Database (available at <uri>http://www.inpe.br/ queimadas/bdqueimadas/</uri>, last
access: 13 February 2018) for the period of
2002–2017 over the study area. This dataset corresponds to geolocations of
active burning areas in the moment of satellite overpass.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Bamboo life cycle spectral characteristics</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Die-off detection and validation</title>
      <p id="d1e785">To automatically detect the bamboo die-off from 2001 to 2017, we compared
each pixel's MODIS (MAIAC) NIR reflectance time series to a bilinear model
using Pearson's correlation and an iterative shift approach. The model
consisted in a linear increase in reflectance from 1 to 28 % between 1
and 28 years of bamboo age followed by an abrupt decrease to 0 % when the
die-off occurs. The model conception was based on <xref ref-type="bibr" rid="bib1.bibx5" id="text.53"/>, who
showed that forests with adult bamboo had higher NIR reflectance than forests
with juvenile and recently dead bamboo or without bamboo. They also showed
that bamboo has a life cycle of approximately 28 years. Thus, since not
much was known about the spectral behavior of bamboo growth with age, we
chose a bilinear model to characterize the bamboo signal change over time
because it was the simplest way to represent the change between life stages.
We also assumed the signal coming from the trees as constant over time.
Therefore, interannual reflectance variations were attributed to structural
changes in the canopy related to bamboos. The Pearson's correlation
coefficient (<inline-formula><mml:math id="M22" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) between the NIR reflectance time series and the bilinear
model for a given pixel was iteratively tested by shifting the position of
the NIR time series inside the bilinear model vector. The position showing
the highest <inline-formula><mml:math id="M23" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> corresponded to the estimated age of that pixel from which
the die-off year was retrieved. Only pixels with very significant
correlations (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) were selected. The model was tested with both
MODIS (MAIAC) NIR bands: NIR-1 band 2 (841–876 nm) and NIR-2 band 5
(1230–1250 nm). Both bands are sensitive to canopy structure scattering,
but NIR-2 is also partially sensitive to leaf–canopy water scattering
<xref ref-type="bibr" rid="bib1.bibx14" id="paren.54"/>, so that could lead to a different detection between bands.</p>
      <p id="d1e820">For validation purposes, we compared the detected die-off events with
recently dead bamboo areas visually identified in MODIS false color
composites (bands 1, 2 and 6 in RGB). In this color composite
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>), adult bamboo patches show a bright green color due
to the comparatively higher NIR reflectance, while dead bamboo patches
show a dark blue/gray<?pagebreak page6092?> color. The visual inspection of bamboo die-off using
MODIS and Landsat data was consistent with five bamboo mass flowering events
observed in the field <xref ref-type="bibr" rid="bib1.bibx5" id="paren.55"/>. In each of the dead bamboo
patches visually detected, the geographic location and die-off year were
registered for a sample of 5 random pixels. A total of 78 dead bamboo patches
were identified in the 2001–2017 period. Thus, the validation dataset was
composed of 390 pixels with corresponding year of bamboo death – the spatial
and temporal distribution of the samples are shown in Figs. S1 and S2 in the
Supplement. For these pixels, the die-off year detected by our model was
retrieved and compared to the validation dataset. To assess the detection, we
calculated the accuracy (%) in detecting the exact die-off year, Pearson's
correlation and <inline-formula><mml:math id="M25" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value and the root mean square error (RMSE) between
the automatically detected and visually interpreted die-off year.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>Spatial distribution detection</title>
      <p id="d1e841">To map the spatial distribution of bamboo-dominated forests for the whole
area, we first mapped the live bamboo and then combined it with the die-off
detection map (2001–2017). We used two assumptions to map the live bamboo.
Over the 18-year period, a live bamboo-dominated pixel should present
(i) mean NIR reflectance equal to or greater than the median signal of
bamboo-free forests and (ii) an increasing NIR reflectance over time. The
median bamboo-free forest signal was derived using the tree cover mask and a
threshold that excluded all the potential bamboo-dominated pixels. The
threshold was defined as the tree cover percentage above the 99th percentile
from bamboo-dominated forests as delineated by <xref ref-type="bibr" rid="bib1.bibx5" id="text.56"/>. We
tested whether the mean NIR reflectance of each pixel was statistically lower
than the forest median signal using the Student's <inline-formula><mml:math id="M26" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test and excluded
those pixels. Furthermore, we obtained a linear regression model between the
reflectance of each pixel in the time series and a linear increasing vector
to identify reflectance increase over time in the bamboo areas. We only selected
pixels that showed a very significant (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) and positive
regression slope, indicating the reflectance increase in the NIR. To assess
the overall consistency of the map, we compared it with the available
bamboo-dominated forests' distribution map from <xref ref-type="bibr" rid="bib1.bibx5" id="text.57"/>.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <title>Bamboo cohort age and spectral variability</title>
      <p id="d1e875">We used the die-off map to retrieve spectral data corresponding to each
bamboo age in order to assess the spectral variability during the bamboo life
cycle, that is, when the signal changes and why, and to corroborate the
assumptions made in the bilinear model. Data from all MODIS bands were
extracted using the estimated die-off year with very significant correlation
(<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) as a starting point. Bamboo cohort age was then calculated
backwards and forwards in time during the 2000–2017 period. Reflectance
percentiles (1st, 50th and 99th) per age were calculated to obtain the
entitled empirical bamboo-age reflectance curves.</p>
      <p id="d1e890">The spectral variability with cohort age was also analyzed in relation to the
bamboo-free signal in order to assess the separability of forests with and
without bamboo. Pearson's correlation between the median bamboo-free signal,
as obtained in a previous section, and bamboo-dominated forest pixels' signal
was calculated and assessed as a function of cohort age. The assessment was
conducted using the NIR-1 and NIR-2 bands.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <title>Die-off prediction</title>
      <p id="d1e899">To assess the age structure of bamboo patches during the whole life cycle, we
explored the prediction of die-off events for the bamboo that did not die off
during 2001–2017. This was conducted using the NIR-1 and NIR-2 empirical
bamboo-age empirical curves as a reference instead of the bilinear model.
Since the NIR time series would not present the abrupt change associated with
the die-off, the empirical curves should reflect the spectral changes over
time with bamboo growth. The prediction followed the same procedures of the
detection in assessing the point of maximum correlation between the NIR
reflectance time series, but, now also in comparing them to the empirical bamboo-age
reflectance curves and predicting the die-off for a whole life cycle during
2001–2028.</p>
      <p id="d1e902">Since the validation for 2018–2028 predictions could not be conducted using
MODIS data because its time series do not span that time period, we used
yearly TM/Landsat-5 color composites (bands 2, 4 and 1 in RGB) during the
1985–2000 period to visually detect the bamboo die-off events that occurred
in the last bamboo life cycle and validate the predictions. We assumed that
the die-off events that happened in this period would happen again in the
next life cycle of the bamboo, from 2018 to 2028. Therefore, we added
29 years to the visually detected die-off year in order to match the next
life cycle. The sampling procedure for the validation dataset was similar to
the detection, of which 5 pixels were randomly collected for each recently dead
bamboo patch visually identified in a given year. A total of 35 dead bamboo
patches were identified and 175 pixels were collected with the corresponding
years of death. The assessment was conducted by calculating the same metrics
as in the die-off detection section. Additionally, in order to assess if the
prediction error was randomly distributed, the residuals from predicted minus
observed die-off year, where observed is the die-off from the Landsat
validation dataset, were tested for normality using a two-sided
Kolmogorov–Smirnov test at a 1 % significance level.</p>
      <p id="d1e905">Since not much was known about the size of bamboo patches, we analyzed the
patch size distribution from the prediction map considering grouped pixels
with the same die-off year as patches. These grouped pixels with same die-off
year were segmented into patches and the patch size distribution<?pagebreak page6093?> was assessed
by quantifying the number, minimum, maximum, mean and median size of bamboo
patches. In order to filter out noise in the predictions (i.e., loose pixels),
the minimum patch size was set to 10 km<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Relationship between bamboo die-off events and MODIS active fire detections</title>
      <p id="d1e925">Active fire detections from MODIS/Aqua during 2002–2017 were filtered using
yearly non-forest fraction masks. This ensured that active fires occurring
over deforested and degraded forests, pastures or swidden areas were removed,
and only pixels over forested areas remained in each year. To visualize where
the fire occurred, the active fires were plotted over the bamboo spatial
distribution map. The number of fires occurring over live bamboo and dead
bamboo (died off during 2001–2017) was calculated.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p id="d1e930">Spatial distribution of stable tree cover percentage percentiles
(filtered for tree cover gain and loss and for waterbodies), indicating
pixels below, above and within the 1st to 99th percentile range of tree cover
found in bamboo-dominated forest (hatched), as delineated by
<xref ref-type="bibr" rid="bib1.bibx5" id="text.58"/>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f03.pdf"/>

        </fig>

      <p id="d1e942">To test whether there was a higher fire occurrence over recently dead bamboo
than live bamboo, the active fire detections were analyzed as a function of
dead (28, 0 and 1 years) and live bamboo (2 to 27 years) classes. For this
purpose, each active fire detection was labeled accordingly to the bamboo age
of the pixel where it occurred from the prediction map and then merged into
the two classes. We investigated three factors that could affect fire
probability: area of bamboo mortality, climate and proximity to ignition
sources. Since the total area of a specific age class could interfere with
fire frequency, that is, more area would mean higher probability of fire
occurrence, we normalized the fire frequency by the area (ha) of its
respective age class within the buffer with most fire occurrences, in the
year of fire occurrence. Severe droughts affected Amazonia in 2005, 2010 and
2015/2016, and especially the southwest in 2005 <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx36 bib1.bibx24 bib1.bibx1" id="paren.59"/>. As drought years can enhance fire
occurrence in Amazonia <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx1" id="paren.60"><named-content content-type="pre">e.g.,</named-content></xref>, we analyzed the fire frequency in regular and drought years separately. To assess the
influence of ignition sources on the fire occurrence, we filtered active fire
detections using buffers of 1, 2 and 3 km around the non-forested areas
using the yearly non-forest fraction mask and assessed the number of active
fire detections considering each buffer.</p>
      <p id="d1e953">The area-normalized fire frequency over dead and live bamboo was compared
using a two-way Analysis of Variance (ANOVA) to test whether there were more
fires in dead than live bamboo. We tested the effects of bamboo life stage
(live or dead), year of fire occurrence and their interactions in active
fire detections.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Tree cover analysis</title>
      <p id="d1e968">Bamboo-dominated forest, as mapped by <xref ref-type="bibr" rid="bib1.bibx5" id="text.61"/>, spanned a very
narrow range of values in the Landsat-derived percent of tree cover product.
The 1st and 99th percentiles of tree cover in the bamboo areas were
96.95 % and 99.88 %, respectively, while the median was 99.18 %
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>). Forests identified as bamboo-free by
<xref ref-type="bibr" rid="bib1.bibx5" id="text.62"/> had tree cover above the 99th percentile in the
northeast of the study area, but below the 1st percentile in the southwest of
the study area. In the northwest, bamboo-free forests presented tree cover
similar to that of bamboo-dominated forests, i.e., between the 1st and 99th
percentile.</p>
      <p id="d1e979">The MODIS NIR-1 reflectance values over the 2000–2017 period in bamboo-free
forests that had tree cover above the 99th percentile of bamboo-dominated
areas (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b) did not significantly differ from normal
distribution (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn></mml:mrow></mml:math></inline-formula>). The bamboo-free
forests showed the lowest standard deviation (mean <inline-formula><mml:math id="M31" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 27.3 % reflectance;
SD <inline-formula><mml:math id="M32" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.9 %) when compared to the bamboo-dominated forests
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). Bamboo-free forests that had tree cover below
the 1st percentile of bamboo-dominated areas (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a)
presented a left-skewed distribution with similar reflectance to the 99th
percentile but with higher SD (mean <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 27.2 %, SD <inline-formula><mml:math id="M34" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.6 %, and
<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M36" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.2 %). Bamboo-dominated forests (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c, pixels
inside the hatched polygon in Fig. <xref ref-type="fig" rid="Ch1.F3"/>) presented a
right-skewed distribution with higher NIR-1 reflectance (mean <inline-formula><mml:math id="M37" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 28.7 %,
SD <inline-formula><mml:math id="M38" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.1 % and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M40" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.9 %) than the bamboo-free forests.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e1084">Relative frequency of MODIS NIR-1 reflectance (band 2) from pixels
with tree cover percentage <bold>(a)</bold> below, <bold>(b)</bold> above and
<bold>(c)</bold> within the 1st to 99th percentile range of tree cover found in
bamboo-dominated forest (hatched in Fig. <xref ref-type="fig" rid="Ch1.F3"/>), as delineated
by <xref ref-type="bibr" rid="bib1.bibx5" id="text.63"/>.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f04.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Bamboo life cycle spectral characteristics</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Die-off detection</title>
      <p id="d1e1118">When we applied our automatic die-off approach over the canopy scattering
(NIR-1 band 2) and canopy water<?pagebreak page6094?> (NIR-2 band 5) sensitive MODIS NIR bands,
differences in detected bamboo areas were observed (81 480 km<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for NIR-1
and 86 628 km<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for NIR-2). Despite these differences, the resultant
die-off year maps were consistent with each other
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and b), with 81 % of the detected die-off
events located inside the bamboo-dominated area, as reported by
<xref ref-type="bibr" rid="bib1.bibx5" id="text.64"/>. The die-off patches that were detected over a 18-year
period inside the previous bamboo-dominated forest map represented 40.7 %
and 42.7 % of the total bamboo area using MODIS NIR-1 and NIR-2,
respectively. In Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and b, 83.6 % of the dead
bamboo pixels mapped using the two NIR bands showed the same year of death
between the maps. When comparing the areas detected solely by one of the two
bands, NIR-1 detected more pixels toward the end of the time period, i.e.,
die-off areas from 2017 in the northeast between 8–9<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and
69–70<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, while NIR-2 detected additional pixels in the beginning
of the time period, i.e., die-off areas from 2001 in the central region
between 9–10<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 70–71<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W. Interestingly, some small
patches between 8–9<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 73–74<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W presented a
unidirectional wave of mortality from north to south with a delay of 1 year
between adjacent patches.</p>
      <p id="d1e1201">The correlation coefficients found in all the mapped pixels with significant
relationship with our bilinear model (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) were strong (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>). More than 50 % presented even stronger correlations (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>), and 15 % of pixels presented very strong correlation (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>). When the automatic die-off estimates were validated with the visually
inspected die-off from 2001–2017, the accuracy from NIR-2 was slightly
higher (82.6 %) than that from NIR-1 (79.3 %)
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>c and d). Both bands showed similarly strong
Pearson's correlation (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.99</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), whilst NIR-1 showed
slightly lower RMSE (0.48 years) than that from NIR-2 (0.54 years). From the
390 pixels in the validation dataset, 334 and 362 pixels were detected as
bamboo die-off by the bilinear model (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) using the NIR-1 and
NIR-2, respectively. The missing 56 (14.4 %) and 28 (7.2 %) pixels
were considered to be omission errors in NIR-1 and NIR-2. When we combined the
two maps into a single die-off detection map (Fig. S3), a total of 374 pixels
from the validation dataset was successfully detected, resulting in only 16
(4.1 %) missing pixels not being detected as bamboo die-off, while accuracy and
RMSE were 80 % and 0.51 year, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e1293">MODIS bamboo die-off detection map from 2001 to 2017 using the
bilinear model of expected near-infrared (NIR) reflectance variations as a
function of bamboo cohort age, for <bold>(a)</bold> NIR-1 and <bold>(b)</bold> NIR-2.
Validation between detected die-off and visual interpreted die-off on MODIS
false-color composites (2000–2017) for <bold>(c)</bold> NIR-1 and <bold>(d)</bold>
NIR-2. The dashed line represents the <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line. The size of circles is related
to the number of pixels that hit the same observed/estimate die-off year.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f05.pdf"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Spatial distribution of bamboo-dominated forests</title>
      <p id="d1e1332">The bamboo-dominated forests were mapped by combining the die-off detection
during 2001–2017 (Fig. S3) with the live bamboo detection
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>). The die-off detection was based on both MODIS
NIR-1 and NIR-2, which presented high accuracies, mapping slightly different
bamboo patches in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. The live bamboo detection was only based on NIR-1, which is shown not to saturate with bamboo growth over time in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>. A total of 155 159 km<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of
bamboo-dominated forest was detected in the area. Of this, 112 570 km<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
or 72.5 % was located inside the bamboo forest mapped by
<xref ref-type="bibr" rid="bib1.bibx5" id="text.65"/>. A total of 68.8 % of the bamboo forest area from
<xref ref-type="bibr" rid="bib1.bibx5" id="text.66"/> was covered by the detection. A few large patches were
found outside of the previously mapped bamboo spatial distribution, such as
in 11.5<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 70<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, and 13<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 71<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e1404">Bamboo-dominated forest map and MODIS active fire detections during
2002–2017 (yellow crosses). Blue pixels are bamboo die-off patches detected
during 2001–2017 using the bilinear model. Light green pixels are bamboo
that did not die off, but showed increasing NIR signal during 2001–2017 and
presented greater NIR mean than forest. Dark green pixels are bamboo-free
forests. White pixels are other land cover classes. The hatched polygon
represents the bamboo-dominated forests delineated by <xref ref-type="bibr" rid="bib1.bibx5" id="text.67"/>.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f06.pdf"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Bamboo cohort age and spectral variability</title>
      <p id="d1e1422">The reflectance of the MODIS NIR-2 and the two SWIR bands slowly increased
with bamboo development up to about 12 years of age, and then increased very
steeply from 12 to 14 years (Fig. <xref ref-type="fig" rid="Ch1.F7"/>). NIR-1 did not
show the same reflectance increase up to 12 years as NIR-2, but also showed
the steep increase in reflectance between 12 and 14 years. A pronounced but
temporary dip in red and blue-2 reflectance occurred concurrently with this
brief and rapid NIR and SWIR increase. Green reflectance increased up to
about 17 years then leveled off. The response of two SWIR bands and the NIR-2
band all leveled off after 15 years. The NIR-1,<?pagebreak page6095?> however, showed increasing
reflectance over the cohort remaining life span, until the age of synchronous
die-off. The bamboo die-off was marked by a sharp decrease in MODIS NIR-1 and
NIR-2 reflectance between 28 and 29 years of age
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>). A reflectance change with bamboo death was
not well defined in the SWIR-1 and SWIR-2 bands. The reflectance of all bands
presented high dispersion, with coefficients of variation ranging from
5.9 % to 20.3 %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e1431">Empirical bamboo-age reflectance curves at ages 0–28 years from
MODIS bands 1 to 8 <bold>(a–h)</bold>. Black lines represent the median, while
the shaded gray areas represent the 1st and 99th percentile.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f07.pdf"/>

          </fig>

      <p id="d1e1443">The mean Pearson's correlation between the median bamboo-free forest and
bamboo-dominated forest NIR-1 reflectance decreased from 0.41 to <inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02 in
the transition from juvenile (1–14 years) to adult bamboo stage
(15–28 years) (Fig. <xref ref-type="fig" rid="Ch1.F8"/>, black boxes). The correlation in
the partially water-sensitive NIR-2 did not follow the same pattern
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>, orange boxes). In NIR-2, the correlation was
similar in juvenile (<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>) and adult bamboo
stages (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>). The correlation's standard
deviation was 0.14 and 0.2 for juvenile and adult stages in both bands.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p id="d1e1484">Pearson's correlation coefficients between the median reflectance of
bamboo-free forest with the pixel spectral response of bamboo-dominated
forests. The results are plotted as a function of the bamboo cohort age for
MODIS NIR-1 (in black) and NIR-2 (in orange).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f08.pdf"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>Die-off prediction</title>
      <p id="d1e1499">Based on the NIR-1 and NIR-2 reflectance from 0 to 28 years of age, we
predicted the die-off year from 2000 to 2028 for the whole bamboo spatial
distribution (Figs. <xref ref-type="fig" rid="Ch1.F9"/>a and S4a, respectively). The
estimated die-off years using the empirical curves during 2001–2017 were
85 % similar to the detection using the initial bilinear model
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>). The empirical curves achieved an accuracy of
75.45 % (RMSE <inline-formula><mml:math id="M66" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.11 years) and 69.23 % (RMSE <inline-formula><mml:math id="M67" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.08 years) for NIR-1
and NIR-2, respectively, in predicting the exact die-off year during
2001–2017, when compared to the visual inspection of MODIS color composites.
Die-off prediction during 2018–2028 using the empirical curves
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>) with NIR-1 and NIR-2 was inspected for
consistency using the visual interpretation of TM/Landsat-5 time series
(Figs. <xref ref-type="fig" rid="Ch1.F9"/>c and S4c, respectively). NIR-1 and NIR-2
presented low accuracy (20.5 % and 3 %, respectively) to predict the
exact die-off year with high RMSE (2.92 and 4.25 years, respectively) and
significant weak to moderate correlations (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>, respectively). The residual distributions of both
NIR-1 and NIR-2 prediction models (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b and
Fig. S4b, respectively) were not significantly different from normal (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>). The NIR-1 model had a mean age error closer to zero (<inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.7 years)
than that observed from NIR-2 (<inline-formula><mml:math id="M74" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 years). This indicates an average
underestimate of the true die-off year when using MODIS NIR-1 and NIR-2,
respectively. The standard deviation of the residuals was smaller for NIR-1
(5 years) than for NIR-2 (9 years).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p id="d1e1604">MODIS bamboo die-off prediction map from 2000 to 2028 using the
empirical curves of the near-infrared 1 (NIR-1) reflectance as a function of
bamboo cohort age <bold>(a)</bold>. Validation between predicted die-off
(2017–2028) and visual interpreted die-off from the previous life cycle in
Landsat false-color composites (1985–2000) <bold>(c)</bold> and residuals
distribution <bold>(a)</bold>. The dashed line represents the <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line in
<bold>(c)</bold> and an age residual of 0 in <bold>(b)</bold>. The size of circles is
related to the number of pixels that hit the same observed/estimate die-off
year.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f09.pdf"/>

          </fig>

      <?pagebreak page6096?><p id="d1e1641">Because the MODIS NIR-1 prediction model (Fig. <xref ref-type="fig" rid="Ch1.F9"/>)
showed higher precision and less bias than the model based on NIR-2
(Fig. S4), we extracted the predicted die-off years from the NIR-1 model to
estimate the total area of bamboo die-off per year (Fig. <xref ref-type="fig" rid="Ch1.F10"/>)
and bamboo population (patch) size distribution
(Table <xref ref-type="table" rid="Ch1.T1"/>). Total die-off per year was different from a
uniform temporal distribution (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). For a uniform distribution,
the yearly die-off areas would be close to the average of 5350 km<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
Within the period 2000–2017, the years 2006, 2007, 2011, 2015 and 2016
showed higher than average die-off area (Fig. <xref ref-type="fig" rid="Ch1.F10"/>). The
largest die-off area was observed in 2016 (14 099 km<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>). For the
2018–2028 predicted period, the year of 2022 is expected to show the largest
bamboo die-off area (16 276 km<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>).</p>
      <p id="d1e1692">The detection for 2001–2008, a period that matches the time interval
analyzed visually by <xref ref-type="bibr" rid="bib1.bibx5" id="text.68"/>, showed 372 die-off patches with a
mean size of 80 km<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and a maximum size of 2234 km<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
(Table <xref ref-type="table" rid="Ch1.T1"/>). <xref ref-type="bibr" rid="bib1.bibx5" id="text.69"/> found 74 patches with a
mean size of 330 km<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and a maximum size of 2570 km<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> during the same
period. The detection for 2001–2017 showed 802 patches with a mean size of
85 km<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and maximum size of 6162 km<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Table <xref ref-type="table" rid="Ch1.T1"/>).
Some patch structures had long and linear perimeters, while others had
rectangular shapes (for example near 69<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>45<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W, 8<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>48<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> S,
and 71<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>13<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W, 9<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>47<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> S) or rounded borders (for example
near 70<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>45<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W, 9<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>39<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> S). We also detected a
unidirectional flowering wave from north to south in the patch between
8<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>9<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> S and 73<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>74<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> W, which was also reported by
<xref ref-type="bibr" rid="bib1.bibx5" id="text.70"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e1914">Bamboo patch sizes obtained from die-off prediction using
MODIS NIR-1 filtered by a minimum patch area of 10 km<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, and comparison of
results with those from <xref ref-type="bibr" rid="bib1.bibx5" id="text.71"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Study</oasis:entry>
         <oasis:entry colname="col2">Period</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M103" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Mean (km<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">SD (km<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">Min (km<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">Max (km<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">Median (km<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">
                      <xref ref-type="bibr" rid="bib1.bibx5" id="text.72"/>
                    </oasis:entry>
         <oasis:entry colname="col2">2001–2008</oasis:entry>
         <oasis:entry colname="col3">74</oasis:entry>
         <oasis:entry colname="col4">330</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">2570</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">This study</oasis:entry>
         <oasis:entry colname="col2">2001–2008</oasis:entry>
         <oasis:entry colname="col3">372</oasis:entry>
         <oasis:entry colname="col4">79.56</oasis:entry>
         <oasis:entry colname="col5">242.89</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">2234</oasis:entry>
         <oasis:entry colname="col8">21</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">This study</oasis:entry>
         <oasis:entry colname="col2">2001–2017</oasis:entry>
         <oasis:entry colname="col3">802</oasis:entry>
         <oasis:entry colname="col4">84.57</oasis:entry>
         <oasis:entry colname="col5">310.39</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">6162</oasis:entry>
         <oasis:entry colname="col8">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">This study</oasis:entry>
         <oasis:entry colname="col2">2018–2028</oasis:entry>
         <oasis:entry colname="col3">778</oasis:entry>
         <oasis:entry colname="col4">33.84</oasis:entry>
         <oasis:entry colname="col5">72.38</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">1154</oasis:entry>
         <oasis:entry colname="col8">17</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">This study</oasis:entry>
         <oasis:entry colname="col2">2000–2028</oasis:entry>
         <oasis:entry colname="col3">1603</oasis:entry>
         <oasis:entry colname="col4">59.05</oasis:entry>
         <oasis:entry colname="col5">226.66</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">6162</oasis:entry>
         <oasis:entry colname="col8">18</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Relationship between bamboo die-off events and MODIS active fire detections</title>
      <p id="d1e2185">Active fire detections were not found in all bamboo patches that died
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>). We found a total of 2371 MODIS active fire
detections inside bamboo-dominated forests between 2002 and 2017, from which
1424 detections (60 %) occurred in bamboo patches that died off and 947
detections (40 %) occurred in live bamboo patches. Active fires were
detected mostly near non-forested areas (Fig. <xref ref-type="fig" rid="Ch1.F6"/> in
gray). When we excluded the detections up to 1, 2 and 3 km around these
areas, the total detections decreased to 1330 (56 %), 18 (0.76 %) and
3 (0.12 %), respectively.</p>
      <p id="d1e2192">Overall, there was a similar number of active fire detections per hectare in
dead and live bamboo (0.18 fires ha<inline-formula><mml:math id="M109" 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>) (Fig. <xref ref-type="fig" rid="Ch1.F11"/>). The ANOVA
did not show statistically significant differences in the area-normalized
mean active fire detections for the interaction between bamboo stage (dead or
live) and year of fire occurrence factors (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.67</mml:mn></mml:mrow></mml:math></inline-formula>). Individually, bamboo stage also did not show statistical
significance in area-normalized mean active fire detections (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.986</mml:mn></mml:mrow></mml:math></inline-formula>). On the other hand, year of fire did show
statistical significance on area-normalized mean active fire detections (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). The years 2017 and 2016 presented significant higher
area-normalized mean active fire detections (0.46 and 0.35 fires ha<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
respectively) than the other years (<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e2270">For severe drought years, the area-normalized active fire detections in 2005
(0.32 and 0.18 fires ha<inline-formula><mml:math id="M115" 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>), 2010 (0.22 and 0.12 fires ha<inline-formula><mml:math id="M116" 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>), 2015
(0.35 and 0.20 fires ha<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and 2016 (0.57 and 0.33 fires ha<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in
dead and live bamboo, respectively, were not statistically different between
the two bamboo life stages (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.127</mml:mn></mml:mrow></mml:math></inline-formula>). However, drought years presented
on average 45 % higher area-normalized mean active fire detections in
dead (0.342 fires ha<inline-formula><mml:math id="M120" 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>) than live (0.236 fires ha<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) bamboo.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Tree cover of bamboo-dominated and nearby forests</title>
      <p id="d1e2370">We found that the bamboo-dominated forests had a narrow range of tree cover
values (96.95 % to 99.89 %), and this was below the tree cover values
of the closed forests nearby (above 99.89 %). This suggests that these
forests have a largely closed canopy but are slightly more open than closed
forests without bamboo. Evergreen trees are the dominant life form over most
of the southwest Amazon forests, including the ones where bamboo is very
abundant. The trees generally comprise 50 % or more of the canopy area in
a Landsat or MODIS pixel, even when the bamboo cohorts are at adult stage and
show high density <xref ref-type="bibr" rid="bib1.bibx5" id="paren.73"/>.<?pagebreak page6097?> They
also fully dominate the canopy during 30 % of the bamboo life cycle,
while juvenile bamboo is confined to the forest understory <xref ref-type="bibr" rid="bib1.bibx41" id="paren.74"/>.
However, the tree cover percent of bamboo-dominated forests was slightly
smaller than the bamboo-free areas. We believe this might be related to
(i) an increased gap opening associated with faster forest dynamics and tree
mortality of these areas influenced by bamboo <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx32" id="paren.75"/>, or (ii) artifacts of the tree cover computation method that
uses the pixels' reflectance from <xref ref-type="bibr" rid="bib1.bibx16" id="text.76"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p id="d1e2387">Distribution of predicted bamboo die-off area per year between 2000
and 2028 from MODIS NIR-1. </p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f10.pdf"/>

        </fig>

      <p id="d1e2396">The MODIS NIR-1 reflectance was normally distributed over bamboo-free forests
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>b), while it showed a right skewed distribution over
the bamboo-dominated forests (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). This result was
expected, considering that undisturbed old-growth bamboo-free forests are more
or less stable over time, while bamboo-dominated forests' canopies undergo
structural changes when the bamboo reaches the height of tree crowns after 12
years of age <xref ref-type="bibr" rid="bib1.bibx41" id="paren.77"/>. This is supported by our results that show a
continuous increase of NIR reflectance with bamboo age and an abrupt increase
of NIR around the age of 12 years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p id="d1e2409">Area-normalized MODIS fire frequency during 2002–2017. Gray boxes
represent fire in dead bamboo (28, 0 and 1 years) and white boxes represent
fire in live bamboo (2 to 27 years).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/6087/2018/bg-15-6087-2018-f11.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Automatic detection of bamboo die-off</title>
      <p id="d1e2424">The automatic detection of bamboo die-off performed very well, with an
accuracy above 79 % when estimating the exact year of bamboo death and a
mean error of 0.5 years. When comparing the NIR-1 and NIR-2 bands, the
leaf–canopy water sensitivity from NIR-2 might have contributed to a
slightly better performance in bamboo die-off detection and the detection of
different areas between the bands, which contributed to a larger coverage of
the bamboo-dominated forests (Fig. S3). This different sensitivity to
vegetation structure is especially highlighted in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>, which shows that<?pagebreak page6098?> the NIR-2 remains at its lowest during
0–2 years, explaining why the NIR-2 band maps different areas than NIR-1.</p>
      <p id="d1e2429">Our die-off map is an improvement of the current available maps from the
literature because the die-off detection conducted in previous works was
solely based on the visual inspection of Landsat and MODIS color composites
during 2000–2008, thus leading toward the identification of big clusters of
pixels that went through die-off (Table <xref ref-type="table" rid="Ch1.T1"/>)
<xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx5" id="paren.78"><named-content content-type="pre">e.g.,</named-content></xref>. Our method is automatic, is easy to
implement and can detect relatively small patches because it runs on a per-pixel basis. However, we do not advise attempting detection of very small
patches (e.g., <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) when using MODIS data due to limitations of the
spatial resolution of the sensor (1 km). It is important to note that the
detected bamboo die-off areas were not confounded with recently deforested
areas, as the tree cover product did not point out forest losses in bamboo
die-off areas. Since the method can detect bamboo die-off without a priori
knowledge of the bamboo spatial distribution (Fig. <xref ref-type="fig" rid="Ch1.F6"/>),
it could be used to better describe and understand the spatial organization
of the bamboo stands that show synchronized die-off in forests around the
world.</p>
      <p id="d1e2460">Our validation dataset was composed of 390 pixels visually detected in 78 bamboo patches during 2001–2017. Therefore, we are confident that the
sampling was representative to our study area given that we found 802 patches
in the same time period, that is, the sample consisted in around 10 %
patches. It is noted, however, that our visual analysis mostly sampled big
patches that died off because those were the ones that we could be sure that
were bamboo die-off. The high detection accuracy of bamboo die-off events
also highlights the quality of the MODIS (MAIAC) data, which are suitable for
bamboo-dominated forests' mapping. The MAIAC algorithm improves the accuracy
of cloud detection, aerosol retrieval and atmospheric correction compared to
the standard MODIS product processing <xref ref-type="bibr" rid="bib1.bibx17" id="paren.79"/>.<?pagebreak page6099?> Combined with the
appropriate normalization for sun-sensor-target geometry using BRDF modeling,
the MAIAC contributed to minimize interannual artifacts in the time series
for an accurate detection.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Spatial distribution of bamboo-dominated forests</title>
      <p id="d1e2472">A total of 155 159 km<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (15.5 million ha) of bamboo-dominated forests
was mapped in the southwestern Amazon by combining the automatic detection of
dead and live bamboo (Fig. <xref ref-type="fig" rid="Ch1.F6"/>). Most of the detected
areas (72.5 %) were located inside the 16.5 million ha of the
bamboo-dominated forests mapped by <xref ref-type="bibr" rid="bib1.bibx5" id="text.80"/>, although covering
only 68.8 % of the previous detected areas. This difference was partially
due to the increased land cover change in the region post-2010 – the period when
<xref ref-type="bibr" rid="bib1.bibx5" id="text.81"/> performed their analysis, and areas for which our method
did not detect bamboo-dominated forests. Despite the differences, we detected
clusters of pixels that were very likely bamboo-dominated patches outside of
the previously mapped areas (e.g., 11.5<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 70<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, and
13<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 71<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W). These areas should be further investigated
in the field to verify if they are indeed bamboo-dominated forests.</p>
      <p id="d1e2529">Compared to our results with 1 km spatial resolution, the map from
<xref ref-type="bibr" rid="bib1.bibx5" id="text.82"/> (30 m spatial resolution) underestimated the
bamboo-dominated forests in the order of 30 %. A possible explanation is
that the authors considered live adult bamboo and used only two Landsat
mosaic images 10 years apart from each other (1990 and 2000) for mapping,
thus not observing part of the bamboos that were at a juvenile stage and hidden
in the understory at that time. Another possibility is the limitation of
visual interpretation and manual delineation of small bamboo patches. Our map
was obtained on a per-pixel basis by assessing each pixel's spectral
trajectory, thus reducing errors of omission by considering both live and
dead bamboo for mapping, and by using a longer time series (18 years) for the
detection.</p>
      <p id="d1e2535">The potential limitations of our map include the coarser spatial resolution
(1 km) when compared to the previous map (30 m). In addition, we likely
underestimated the true bamboo distribution because of the previously
discussed uncertainties in detecting juvenile bamboos, given the limited
temporal coverage of the MODIS (MAIAC) time series. A more accurate mapping
of bamboo spatial distribution would require that all bamboo died off during
the time series (i.e., requiring at least 28 years of data). Currently, the
only dataset that has such temporal coverage comes from the Landsat
satellites with 47 years of data of variable spatial resolution (1972–2018)
or 34 years of data of 30 m spatial resolution (1985–2018). The challenge
in applying such detection with Landsat imagery is that it relies on the dataset
acquisition of yearly time series of cloud- and aerosol-free images for the
whole area and signal normalization between images.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Bamboo cohort age and reflectance variability</title>
      <p id="d1e2544">When reconstructing the spectral response of the bamboo-dominated forest as a
function of cohort age (Fig. <xref ref-type="fig" rid="Ch1.F7"/>), we found that two
spectral bands, the NIR-1 and NIR-2, followed our initial assumption of
overall reflectance increase with bamboo cohort age and of sharp decrease at
the time of die-off.</p>
      <p id="d1e2549">Between 1 and 12 years of cohort age, the NIR-1 reflectance did not show a
continuous increase (Fig. <xref ref-type="fig" rid="Ch1.F7"/>), while it presented
strong correlation (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula>) with bamboo-free forest
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>). The NIR-2 reflectance, however, showed a slight
monotonical increase (Fig. <xref ref-type="fig" rid="Ch1.F7"/>) with weak correlation
(<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>) to bamboo-free forest
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>). However, the accuracy on detecting juvenile
bamboos was poor (Fig. <xref ref-type="fig" rid="Ch1.F9"/>). Thus, it is very difficult
to identify the bamboo-dominated patches in this hidden juvenile age without
identifying the prior die-off event, as reported in a previous study
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.83"/>.</p>
      <p id="d1e2590">The NIR signal suddenly increased at 12–14 years of age, which we believe
had two possible explanations. First, there was a change in the density of
leafy bamboo branches in the upper forest canopy, where they are visible to
the satellite. This is supported by the field observations of
<xref ref-type="bibr" rid="bib1.bibx41" id="text.84"/>, in which juvenile bamboo cohorts reach the upper forest
canopy by 10 years of age and accelerate in growth due to increased access to
solar radiance. They observed that bamboo density doubled (from 1000 to
2000 culms ha<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and basal area almost tripled (from 2.1 to
5 m<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> ha<inline-formula><mml:math id="M133" 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>) between 10 and 12 years of age. The second explanation
could be an artifact of our unbalanced sampling for this set of cohort ages.
The reflectance values collected for 12–15 years of cohort age were only
available from the extremes of our time series (2000 and 2017) due to the 28-year life cycle
of bamboo and the 18 years of MAIAC data availability.</p>
      <?pagebreak page6100?><p id="d1e2629">From 14 to 27 years, a smooth steady increase only occurs in the NIR-1 signal
until the synchronous cohort death, while the NIR-2 signal seems to have
saturated at about 15 years of age, maintaining a constant signal of 0.3
reflectance until it drops steeply at cohort death. Thus, NIR-1 should
present better results for predicting the bamboo age of live adult stands.
Finally, the sharp decrease of NIR-1 and NIR-2 at 28–29 years explains why
our bilinear model performed well in detecting the time of death. At the time of
death, there is a high abundance of dead/dry bamboo branches in the canopy,
which reflects a lower amount of NIR energy than leafy and photosynthetically
active bamboo.</p>
      <p id="d1e2633">The increases in red reflectance at the die-off, as well as at 1 year of age
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>a), can also be related to the high abundance
of dry bamboo with decreased leaf chlorophyll content and increased
non-photosynthetic content. Dry, or dead, vegetation is
non-photosynthetically active, and, thus, the incoming red energy near
672 nm is not absorbed by the plant's chlorophyll, that is, causing an
increase in the red reflectance <xref ref-type="bibr" rid="bib1.bibx9" id="paren.85"/>. The dry culms can take
up a few years to decompose <xref ref-type="bibr" rid="bib1.bibx5" id="paren.86"/>, which may explain the
reason for still observing an increased red signal at 1 year of age.</p>
      <p id="d1e2644">The curves also showed a large spectral variability in bamboo-dominated
forests with age, which very likely occurs due to different bamboo abundance
and/or forest structure in the area, as well as the interannual
variability in the signal. However, we were able to extract the annual
changes in reflectance and predict bamboo ages with 2.92 and 4.25 years RMSE
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>) using NIR-1 and NIR-2, respectively. The data
of each age class were merged from different year composites of the whole time
series, thus incorporating the noise in interannual variability. Three
factors contributing to such noise could be (i) the temporary formation of
green leafy secondary forest, spectrally similar to adult bamboo, in large
forest gaps left by the dead bamboo; (ii) the semideciduous nature of the trees
that are mixed in with bamboo, in the seasonally drier parts of the bamboo
range and (iii) the fact that the death of bamboo revealed suppressed trees below the bamboo
canopy. Nevertheless, because our detection and prediction methods were not
based on absolute reflectance values, but on the correlation between the time
series and a reference, such as the bilinear model or the empirical curve, we
do not believe that the large spectral variability should have a major impact
on the detection/prediction.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <title>Bamboo die-off prediction</title>
      <p id="d1e2656">By applying the empirical bamboo-age reflectance curves, we estimated the
bamboo die-off year for all bamboo patches of the region, providing a detailed
map of the age structure of bamboo-dominated forest
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>) and bamboo patch size description
(Table <xref ref-type="table" rid="Ch1.T1"/>). The estimated die-off events between 2000 and
2017 were similar to the ones detected using the bilinear model because of
the abrupt spectral changes with die-off. Regarding predictions between 2018
and 2028, the estimate of the exact die-off year was not so accurate (at best
20 % accuracy) because those bamboo patches were mainly at the juvenile
stage during the MODIS (MAIAC) time series period and did not die. However,
we believe that the predictions using the NIR-1 were at acceptable levels
(RMSE <inline-formula><mml:math id="M134" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.92 years) when considering that (i) the Landsat validation
points based on visual interpretation can have a deviation of 1 year; and
(ii) we assumed that every bamboo cohort had the same life cycle length of
28 years, while we know that it can vary between 27 and 32 years
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.87"/>. The validation dataset for the predictions (2017–2028)
corresponded to 175 pixels in 35 bamboo patches and represented 4.5 % of
the 778 bamboo patches predicted for the 2018–2028 time period.</p>
      <p id="d1e2673">We believe that knowing where and when the bamboo dies is important
information for future studies of bamboo-dominated forest ecosystems, and the
potential applications of the bamboo die-off year or age map are various.
Since areas with dead bamboo are difficult to maintain trails and hinder the
work of rubber trappers <xref ref-type="bibr" rid="bib1.bibx5" id="paren.88"/>, it can be used in forest
management planning in order to avoid areas where the die-off year occurred
in the last 3 years and dry culms are still not decomposed, or to avoid areas
with likely future die-off. It can also be used for public policy planning
regarding food and human health security, for example, in bamboo forests in
Southeast Asia, where bamboo reproductive events cause huge rodent invasion
and proliferation that then damage nearby crop plantations <xref ref-type="bibr" rid="bib1.bibx11" id="paren.89"/>.
It could also be used to explore broader scientific questions on the ecology
of bamboo-dominated forests such as studies on
maintenance/expansion of bamboo
patches, flowering waves, cross-pollination between patches, fauna habitat
dynamics and impacts on short- and long-term carbon dynamics.</p>
</sec>
<sec id="Ch1.S4.SS6">
  <title>Fire occurrence and bamboo</title>
      <p id="d1e2688">We could not support the bamboo–fire hypothesis from <xref ref-type="bibr" rid="bib1.bibx21" id="text.90"/>
because fire occurred only in a small fraction of bamboo-dominated areas
during the 16 years of fire analysis (Fig. <xref ref-type="fig" rid="Ch1.F6"/>),
equivalent to 2371 km<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of burnt area or 0.0955 % of the total bamboo
area (155 159 km<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) burning each year. In addition, the statistical tests
comparing dead and live bamboo fire frequency showed that dead bamboo did not
burn more than live bamboo (Fig. <xref ref-type="fig" rid="Ch1.F11"/>). Hence, we believe in other
explanations for bamboo maintenance in the forest, such as bamboo itself
being responsible for its maintenance in the forest due to the damage it
causes in the trees while increasing tree mortality <xref ref-type="bibr" rid="bib1.bibx15" id="paren.91"/>.</p>
      <p id="d1e2720">We also did not observe an overall increased fire probability over dead than
live bamboo in non-drought years. However, our findings suggest that forests
with recently dead bamboo exposed to severe drought are more susceptible to
fire occurrence, as there were 45 % higher area-normalized<?pagebreak page6101?> mean active
fire detections in dead than live bamboo during severe drought years, such as
2005, 2010, 2015 and 2016. When considering the total fire occurrence, we did
not observe an overall significant increase in fire occurrence during the
2005 and 2010 major droughts when compared to the other regular years
<xref ref-type="bibr" rid="bib1.bibx4" id="paren.92"/>. We believe that this is because we filtered the active
fire occurring inside the bamboo-dominated areas and pixels with,
theoretically, zero non-forested areas using the tree cover products
<xref ref-type="bibr" rid="bib1.bibx16" id="paren.93"/>, thus excluding the areas of increased fire occurrence in
2005 and 2010 that were reported in the literature <xref ref-type="bibr" rid="bib1.bibx4" id="paren.94"/>.</p>
      <p id="d1e2732">The fire occurrence beyond 2 km inside the forest was probably
underestimated because the forest canopy can obscure fires that only occur on
the understorey, and, thus, are not detected by the MODIS/Aqua satellite
<xref ref-type="bibr" rid="bib1.bibx39" id="paren.95"/>. In addition, the MODIS active fire detections should be
treated as a lower bound of fire occurrence, as it underestimates fire
occurrences in the order of 5 % for small fires with less than
0.09 km<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, or 10 % of MODIS spatial resolution, due to the coarse
spatial resolution, high cloud cover and high viewing angles (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx33" id="paren.96"/>. Nevertheless, we do not believe this
might have an impact on rejecting the bamboo–fire hypothesis due to the
minimal fraction of fire occurrences occurring over the large
bamboo-dominated forests.</p>
      <p id="d1e2768">Large areas of bamboo die-off that burned occurred close to agricultural
lands near the city of Sena Madureira in the state of Acre, Brazil, during 2015,
2016 and 2017. The combination of increased dry fuel material from bamboos
and nearby ignition sources from land use might have contributed to this
increased fire occurrence. This result supports the notion that bamboo
die-off enhances fire probability by increasing the dry fuel material in the
forest. As we observed in the red wavelength, the reflectance increase was
probably associated with greater amounts of dry biomass or non-photosynthetic
vegetation in the die-off year and up to 1 year of age
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>a).</p>
      <p id="d1e2774">The fire occurrences over bamboo-dominated forests were therefore associated
with the proximity to ignition sources, as less than 1 % of forest fire
events occurred more than 2 km away from non-forested areas. This was
expected because fire depends on both fuel and ignition to occur. Thus, areas
closer to deforested areas, roads and rivers would have higher probability to
burn, as probably occurred in 2015, 2016 and 2017. The study of
<xref ref-type="bibr" rid="bib1.bibx23" id="text.97"/> found that 50 % of MODIS active fire detections were
found within 1 km of roads and rivers, and 95 % of the active fires were
found within 10 km of roads and rivers in the Brazilian Amazon. Fire is known to
be associated with deforestation and land use practices in Amazonia such as
slash-and-burn farming and land preparation, where people remove trees of economic
interest and then set the areas on fire in order to clear the land and
implement crop plantations or pasture <xref ref-type="bibr" rid="bib1.bibx39" id="paren.98"><named-content content-type="pre">e.g.,</named-content></xref>. Thus, this
reinforces a bamboo–human–fire association through the increased land use
and cover change. This association is slightly different than it was in
pre-Columbian times <xref ref-type="bibr" rid="bib1.bibx31" id="paren.99"/>, where geoglyph builders could have
used the bamboo die-off patches and fire as an easier way to clear the forest
cover to build their monuments, but it should also favor increases in fire
occurrence on the vicinities of bamboo-dominated areas, thus leading to
potential bamboo expansion.</p>
      <p id="d1e2788">The higher fire probability in dead bamboo patches during drought events,
along with the increasing human influence, can favor increases in bamboo
abundance and expansion over time by assisting them in their competition with
trees. A previous study showed that fire favored the <italic>Guadua</italic> bamboo
expansion in the region because the bamboo individuals have faster responses
to catastrophic disturbance such as fires than tree species
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.100"/>. Thus, when a fire occurs inside or close to a bamboo
forest patch, it may favor the growth of bamboo seedlings – derived from the
massive number of seeds that have been dispersed during the reproductive phase
and prior to death – and the vegetative expansion of the adult bamboo.</p>
      <p id="d1e2797">Our findings regarding bamboo die-off year being associated with fire
occurrence, mainly in drought years, might have implications for fire control
policies, such as in the state of Acre in Brazil, where many bamboo-dominated
areas occur near human settlements, and these extreme climate events
occur within a 5-year interval in Amazonia. By knowing where and when
the die-offs are occurring, public policies can be made to avoid fire
ignition in such areas or prepare the fire brigades to attend to potential
fires.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e2808">This study demonstrates that the NIR reflectance is more sensitive to the
bamboo life cycle than the other spectral intervals and can be used to detect
and map bamboo-dominated forests distribution, age structure and death. The
automatic bamboo die-off detection achieved an accuracy above 79 % by
assessing the point of maximum correlation between the NIR time series and a
bilinear model of linearly increasing NIR with a sharp decrease at the end.
After merging the die-off map with the live bamboo map, a total of
155 159 km<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of bamboo-dominated forests was mapped in the region. It is
noted, however, that this area was probably still underestimated due to the
limited temporal coverage of the MODIS (MAIAC) time series restricted to the
last 2 decades. The bamboo–fire hypothesis was not supported by our
results because only a small fraction of bamboo areas burned during the
analysis timescale. In general, bamboo did not show higher fire probability
after the reproductive event and die-off, meaning that fire should not be the
driver for bamboo dominance. Nonetheless, under severe droughts effects,
forests with recently dead bamboo are more susceptible to fire than forests
with live bamboo, being affected by 45 %<?pagebreak page6102?> more fire occurrence. The fire
in these areas is mostly associated with ignition sources from land use,
suggesting a bamboo–human–fire association. The interaction of dead bamboos
and ignition causes increased fire occurrence that may contribute to the
maintenance of bamboo, burn adjacent forested areas and promote tree
mortality, and ultimately the expansion of bamboo into adjacent areas.</p>
      <p id="d1e2820">Further research related to bamboo dynamics can use the bamboo die-off map
that we produced to pinpoint the location of reproductive and die-off events
in space and time in order to support studies of bamboo maintenance and
colonization, wildfire dynamics, carbon assimilation in trees and bamboos,
tree mortality, fauna/flora demography and species distribution, etc. The
mapping approach can be applied with other remote sensing data, such as
Landsat data with better spatial resolution and longer time series, and
tested with different spectral bands and attributes to further improve the
detection. It can also be applied in other areas around the world that have
bamboo-dominated forests. Using this approach, one can evaluate the temporal
dynamics of the reproductive events (e.g., spreading of flowering waves) and
map the bamboo-dominated areas.</p>
</sec>

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

      <p id="d1e2827">The datasets supporting the results that are not already
published are archived in an open-access database:
<ext-link xlink:href="https://doi.org/10.5281/zenodo.1229425" ext-link-type="DOI">10.5281/zenodo.1229425</ext-link> (Dalagnol et al., 2018). This DOI contains the
preprocessed input data MODIS (MAIAC) time series, bamboo-dominated forests
spatial distribution map and bamboo die-off maps.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2833"><bold>The Supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-15-6087-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-15-6087-2018-supplement</inline-supplementary-material></bold></p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e2839">RD, FHW and LEOCA designed the study. RD and FHW processed the data and performed the
analysis.
RD, FHW, LSG, BWN and LEOCA interpreted the results. RD and FHW wrote the
manuscript with consultation from LSG, BWN and LEOCA. All authors provided
critical feedback on the paper's discussion and improvement.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e2845">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2851">Ricardo Dalagnol was supported by the São Paulo Research Foundation –
FAPESP, Brazil, grants 2015/22987-7 and 2017/15257-8. Fabien Hubert Wagner
was supported by the São Paulo Research Foundation – FAPESP, Brazil,
grants 2015/50484-0 and 2016/17652-9. Luiz Aragão was supported by the Brazilian National
Council for Scientific and Technological Development – CNPq, productivity grant 305054/2016-3. The funders had no role in study
design, data collection and analysis, decision to publish or preparation of
the manuscript. We thank NASA, and especially Yujie Wang and
Alexei Lyapustin, for providing the freely available MODIS (MAIAC) daily
dataset. We also thank Alexei Lyapustin and Oliver Phillips for insightful
comments on early versions of the manuscript. Finally, we thank the editor
and two anonymous referees whose helpful comments and suggestions helped
improve and clarify this manuscript.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: Christopher Still<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Life cycle of bamboo in the southwestern Amazon and its relation to fire events</article-title-html>
<abstract-html><p>Bamboo-dominated forests comprise 1&thinsp;% of the world's forests
and 3&thinsp;% of the Amazon forests. The <i>Guadua</i> spp. bamboos that
dominate the southwest Amazon are semelparous; thus flowering and fruiting
occur once in a lifetime before death. These events occur in massive
spatially organized patches every 28 years and produce huge quantities of
necromass. The bamboo–fire hypothesis argues that increased dry fuel after
die-off enhances fire probability, creating opportunities that favor bamboo
growth. In this study, our aim is to map the bamboo-dominated forests and
test the bamboo–fire hypothesis using satellite imagery. Specifically, we
developed and validated a method to map the bamboo die-off and its spatial
distribution using satellite-derived reflectance time series from the
Moderate Resolution Imaging Spectroradiometer (MODIS) and explored the
bamboo–fire hypothesis by evaluating the relationship between bamboo die-off
and fires detected by the MODIS thermal anomalies product in the southwest
Amazon. Our findings show that the near-infrared (NIR) is the most sensitive
spectral interval to characterize bamboo growth and cohort age. Automatic
detection of historical bamboo die-off achieved an accuracy above 79&thinsp;%.
We mapped and estimated 15.5 million&thinsp;ha of bamboo-dominated forests in the
region. The bamboo–fire hypothesis was not supported because only a small
fraction of bamboo areas burned during the analysis timescale, and, in
general, bamboo did not show higher fire probability after the die-off.
Nonetheless, fire occurrence was 45&thinsp;% higher in dead than live bamboo in
drought years, associated with ignition sources from land use, suggesting a
bamboo–human–fire association. Although our findings show that the observed
fire was not sufficient to drive bamboo dominance, the increased fire
occurrence in dead bamboo in drought years may contribute to the maintenance
of bamboo and potential expansion into adjacent bamboo-free forests. Fire can
even bring deadly consequences to these adjacent forests under climate change
effects.</p></abstract-html>
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