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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-18-831-2021</article-id><title-group><article-title>Patterns of plant rehydration and growth following pulses of soil moisture
availability</article-title><alt-title>Patterns of plant rehydration</alt-title>
      </title-group><?xmltex \runningtitle{Patterns of plant rehydration}?><?xmltex \runningauthor{A.~F.~Feldman et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Feldman</surname><given-names>Andrew F.</given-names></name>
          <email>afeld24@mit.edu</email>
        <ext-link>https://orcid.org/0000-0003-1547-6995</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Short Gianotti</surname><given-names>Daniel J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Konings</surname><given-names>Alexandra G.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2810-1722</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Gentine</surname><given-names>Pierre</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Entekhabi</surname><given-names>Dara</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil and Environmental Engineering, Massachusetts
Institute of Technology, 15 Vassar St., <?xmltex \hack{\break}?>Cambridge, Massachusetts, 02139, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Earth System Science, Stanford University, Stanford,
California, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth and Environmental Engineering, Columbia
University, New York, New York, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Andrew F. Feldman (afeld24@mit.edu)</corresp></author-notes><pub-date><day>5</day><month>February</month><year>2021</year></pub-date>
      
      <volume>18</volume>
      <issue>3</issue>
      <fpage>831</fpage><lpage>847</lpage>
      <history>
        <date date-type="received"><day>13</day><month>October</month><year>2020</year></date>
           <date date-type="rev-request"><day>16</day><month>October</month><year>2020</year></date>
           <date date-type="rev-recd"><day>9</day><month>December</month><year>2020</year></date>
           <date date-type="accepted"><day>14</day><month>December</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/.html">This article is available from https://bg.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e132">Plant hydraulic and photosynthetic responses to individual rain
pulses are not well understood because field experiments of pulse behavior
are sparse. Understanding individual pulse responses would inform how
rainfall intermittency impacts terrestrial biogeochemical cycles, especially
in drylands, which play a large role in interannual global atmospheric carbon uptake
variability. Using satellite-based estimates of predawn plant
and soil water content from the Soil Moisture Active Passive (SMAP)
satellite, we quantify the timescales of plant water content increases
following rainfall pulses, which we expect bear the signature of whole-plant
mechanisms. In wetter regions, we find that plant water content increases
rapidly and dries along with soil moisture, which we attribute to predawn
soil–plant water potential equilibrium. Global drylands, by contrast, show
multi-day plant water content increases after rain pulses. Shorter increases
are more common following dry initial soil conditions. These are attributed
to slow plant rehydration due to high plant resistances using a plant
hydraulic model. Longer multi-day dryland plant water content increases are
attributed to pulse-driven growth, following larger rain pulses and wetter
initial soil conditions. These dryland responses reflect widespread drought
recovery rehydration responses and individual pulse-driven growth responses,
as supported by previous isolated field experiments. The response dependence
on moisture pulse characteristics, especially in drylands, also shows
ecosystem sensitivity to intra-annual rainfall intensity and frequency,
which are shifting with climate change.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e146">A changing climate is likely to shift not only mean annual rainfall, but
also the frequency and intensity of rainfall events
(Donat
et al., 2016; Giorgi et al., 2019; Trenberth, 2011). Understanding the
impacts of rainfall distribution shifts on the terrestrial biosphere is
important because vegetation globally exerts a large control on terrestrial
water and carbon balances
(Ahlström et al.,
2015; Jasechko et al., 2013; Poulter et al., 2014) and drives feedbacks with
the lower atmosphere (Gentine et al.,
2019; Green et al., 2017). Changing rainfall frequency with the same annual
rainfall can impact terrestrial carbon uptake
(Fay et al., 2003;
Knapp et al., 2002), suggesting ecosystem sensitivity to characteristics of
individual rain events. This motivates characterizing plant responses to
individual moisture availability pulses across climates and biomes. This is
especially the case for semi-arid herbaceous plants which respond primarily
to individual pulses, likely occurring under a pulse reserve paradigm of
individual rainfall events triggering photosynthetic responses and storages
(Collins et al.,
2014; Feldman et al., 2018; Noy-Meir, 1973). However, vegetation responses
on these shorter timescales are less well understood than the more commonly
studied responses to monthly or annual water anomalies.</p>
      <p id="d1e149">A major component of understanding moisture pulse responses is quantifying
the duration over which plants take up and use the rain pulse water. These
response durations bear the signature of, among others, plant rehydration in
the soil–plant–atmosphere continuum (SPAC), growth, and resource limitations
such as drought
(Manzoni
et al., 2013;<?pagebreak page832?> Ogle et al., 2015; Ogle and Reynolds, 2004; Sperry et al.,
2016). Characterizing these timescales and their dependencies across biomes
will increase our understanding of whole-plant behavior and assist plant
hydraulic parameterizations in land surface models to better assess plant
water stress
(Bonan
et al., 2014; Fisher et al., 2018; Kennedy et al., 2019; Lin et al., 2019;
Tai et al., 2017; Xu et al., 2016). However, the fundamentals of these pulse
water use durations, especially soil-to-plant water storage timescales,
remain unknown globally.</p>
      <p id="d1e152">Soil and plant water content measurements can be used to characterize the
soil–plant hydraulic system and understand plant water storage timescales,
but they are laborious and are thus often constrained to a single location.
Alternatively, microwave remote sensing satellites provide plant water
content observations across the globe at near-daily sampling frequencies
(Entekhabi
et al., 2010; Kerr et al., 2010; Konings et al., 2016). Although these
observations are at a coarse resolution (tens of kilometers), their ecosystem-scale resolution and relationship to leaf water potential
(Momen et al., 2017; Zhang et
al., 2019) make them a useful tool for studies of ecosystem plant–water
relations
(Feldman et
al., 2018; Konings et al., 2019; Konings and Gentine, 2017). However, the
plant water content measurements are a function of both relative water
content and dry biomass, thus making them additionally sensitive to biomass
and growth (Momen et al., 2017;
Zhang et al., 2019). This is nevertheless an advantage because the plant
water content sensitivity to both water potential and dry biomass allows
evaluation of timescales of multiple whole-plant mechanisms at the
landscape scale.</p>
      <p id="d1e155">With regard to plant rehydration timescales, plant water uptake and storage
timescales have typically been assessed using an electric circuit analogy,
with the timescale of interest being the plant resistance times capacitance, or RC
time constant
(Phillips
et al., 1997, 2004; Ward et al., 2013). The RC time constant quantifies the
time required for leaf or xylem water potential to reach 63 % of its
equilibrium value following a soil moisture or transpiration perturbation.
Measured RC time constants vary from minutes for grasses to hours for trees
(Hunt
and Nobel, 1987; Nobel and Jordan, 1983; Phillips et al., 1997, 2004; Ward
et al., 2013). According to this theory, plant rehydration after rain pulses
should occur within a day. By contrast, field pulse experiments of grass and
shrub species, primarily in dryland environments (broadly annual rainfall
less than 500 mm), commonly show multi-day predawn water potential increases
after rewetting pulses
(Fravolini
et al., 2005; Huxman et al., 2004; Ignace et al., 2007; West et al., 2007).
Multi-day predawn water potential increases would lengthen plant water
content timescales. These multi-day water potential increases appear to be
related to recovery from water limitation between storms, which highlights
the potential impact of antecedent moisture conditions on plant responses
(Guo
and Ogle, 2019; Ogle et al., 2015; Plaut et al., 2013). Hydraulic
limitations from previously dry conditions have also been observed, driving
multi-day recovery of leaf gas exchange after soil rewetting
(Blackman
et al., 2009; Brodribb and Cochard, 2009; Chen et al., 2009; Huxman et al.,
2004; Martorell et al., 2014). These multi-day hydraulic response
observations call into question whether hydraulic response timescales are
consistently sub-daily across global biomes. They also highlight the unknown
role of moisture pulse characteristics (antecedent soil conditions and pulse
magnitude) on these timescales.</p>
      <p id="d1e159">With regard to timescales of growth, while growth is known to occur on
seasonal timescales, there is evidence that growth can occur following
rainfall events as under the pulse reserve hypothesis (Noy-Meir,
1973). Specifically, dryland measurements suggest that growth can occur over
days to weeks following a pulse
(Angert
et al., 2007; Dougherty et al., 1996; Hermance et al., 2015; Novoplansky and
Goldberg, 2001; Post and Knapp, 2019; Sher et al., 2004). Also, ecosystem
growth responses in drylands have been modeled previously with a 1–5 d lag
(depending on plant type) and a decaying persistence over 1–2-week scales
(Ogle
and Reynolds, 2004; Reynolds et al., 2004). Ultimately, pulse-driven growth
following rainfall would lengthen plant water content timescales by
increasing the total plant water storage capacity.</p>
      <p id="d1e162">Here, we evaluate the duration of total plant water content increases
following rainfall pulse events. Under nominal moisture conditions with no
growth, one would expect sub-daily plant water content increases based on RC
time constants. Slow rehydration and/or growth would likely extend these
timescales to multiple days. We ask, across global biomes, do plant water
uptake responses to soil moisture pulses ever occur beyond a day and what
are these timescales? How do pulse characteristics (pulse magnitude,
moisture pre-conditions) and growth influence these timescales? Do
attributes of the moisture pulse (pulse magnitude, moisture pre-conditions)
favor plant growth versus rehydration? To address these questions, we use
microwave remote sensing of total plant water content, a combination of dry
biomass and relative water content, following an approach for rain pulse
studies originally developed in Feldman et al. (2018). In order to better
understand potential mechanisms underlying remote-sensing-observed timescale
variations, we also discuss the observed timescales and their drivers in the
context of a SPAC model.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Datasets</title>
      <?pagebreak page833?><p id="d1e180">We use 4 years (1 April 2015 to 31 March 2019) of soil
moisture and plant water content observations from the Soil Moisture Active
Passive (SMAP) satellite
(Entekhabi et al., 2010). SMAP
measures the low-frequency microwave (1.4 GHz) radiation emitted from
Earth's surface. The radiation signal is in units of temperature, or
brightness temperature (TB). The radiation is polarized, where the emitted
waves' oscillations have distinct horizontal (TB<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mtext>H</mml:mtext></mml:msub></mml:math></inline-formula>) and vertical
(TB<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mtext>V</mml:mtext></mml:msub></mml:math></inline-formula>) orientation. SMAP measures both TB<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mtext>V</mml:mtext></mml:msub></mml:math></inline-formula> and TB<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mtext>H</mml:mtext></mml:msub></mml:math></inline-formula>. Both
TB<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mtext>V</mml:mtext></mml:msub></mml:math></inline-formula> and TB<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mtext>H</mml:mtext></mml:msub></mml:math></inline-formula> magnitudes alone are sensitive to surface soil
moisture (top <inline-formula><mml:math id="M7" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 cm). Furthermore, the difference between
TB<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mtext>V</mml:mtext></mml:msub></mml:math></inline-formula> and TB<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mtext>H</mml:mtext></mml:msub></mml:math></inline-formula> is sensitive to how much the emitted waves are
attenuated when traversing a vegetation canopy. The vegetation attenuation
of the microwave radiation is called vegetation optical depth (VOD). More
vegetation water content results in higher VOD
(Jackson and Schmugge, 1991; Konings
et al., 2019). An established radiative transfer equation can partition the
TB<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mtext>V</mml:mtext></mml:msub></mml:math></inline-formula> and TB<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mtext>H</mml:mtext></mml:msub></mml:math></inline-formula> signals into soil moisture and VOD
(Mo
et al., 1982; Wigneron et al., 2017). We use a recently developed algorithm,
called the multi-temporal dual channel algorithm (MT-DCA), to robustly
estimate soil moisture and VOD using this radiative transfer equation
(Konings
et al., 2016, 2017).</p>
      <p id="d1e281">The SMAP satellite measurements occur at 06:00 (local time) everywhere on
9 km grids across the globe. The time 06:00 is approximately predawn, when plant
water status is assumed to be maximal (due to nighttime plant rehydration).
The satellite orbit is such that there is a 1, 2, or 3 d
revisit, depending on the day and latitude. Due to the orbit pattern, higher
latitudes are measured more frequently. This results in sampling frequencies
of 1–2 d at midlatitudes and 2–3 d at the Equator.</p>
      <p id="d1e284">Since VOD has been shown to be nearly linearly proportional to total
vegetation water content (Jackson and Schmugge,
1991), VOD is proportional to the product of relative water content and
aboveground dry biomass
(Konings et al.,
2019; Momen et al., 2017; Zhang et al., 2019). Therefore, VOD can increase
due to either rehydration of cell water storages or biomass growth, as
growth provides additional water storage capacity. VOD is expected to be
sensitive to rehydration because of near-linear relationships between
relative water content and plant water potential, especially for herbaceous
species which are primarily investigated in this study
(Jones,
2014; Jones and Higgs, 1979; Konings et al., 2019; Nobel and Jordan, 1983).
While the low resolution of VOD estimates hinders species-specific or
stand-scale assessments, it provides the opportunity to assess integrated,
landscape-scale vegetation behavior across global biomes
(Feldman et al., 2018; Tian et al., 2018). VOD
shows promise for use in monitoring plant water stress, with recent findings
showing VOD can monitor time evolution of plant water stress and
drought-induced mortality with loss of plant water storage
(Feldman et
al., 2020; Martínez-Vilalta et al., 2019; Rao et al., 2019).</p>
      <p id="d1e287">Soil moisture observations from the MT-DCA algorithm compare closely to
other SMAP soil moisture products (which use different algorithms) as well
as to in situ observations
(Chan
et al., 2016; Dadap et al., 2019; Feldman et al., 2018). Direct in situ VOD
information is unavailable, although SMAP VOD's mean and dynamics are
comparable to another satellite VOD product (Kerr et al.,
2010). For further discussion of SMAP VOD estimate performance and
comparison with other products, we refer the reader to Konings et al. (2017)
and Feldman et al. (2018).</p>
      <p id="d1e291">To assist in discriminating VOD changes related to hydraulic or growth
activity, we use the daily leaf area index (LAI) product from the Spinning
Enhanced Visible and Infrared Imager (SEVIRI) on board EUMETSAT's Meteosat
Second Generation (MSG-2) satellite series (Trigo et al.,
2011a). These LAI observations serve as an indicator for above-ground biomass
independent of VOD. While constrained primarily to Africa, these LAI
observations are estimated from 15 min geostationary observations which
provide daily LAI fluctuations after cloud contamination mitigation. Both
VOD and LAI datasets together are required to determine the occurrence of
pulse-driven growth. VOD increases can be linked directly to a specific rain
event because of SMAP's more rapid effective sampling (due to no cover
contamination), but they are confounded by rehydration. LAI changes over the
weekly scales of pulses can detect canopy growth, but because of a
non-linear averaging technique (García-Haro and Camacho,
2014), the LAI dataset is partially smoothed over sub-weekly scales and may
be less apt to determine whether detected growth over a week is specifically
associated with a given rain event. Nevertheless, increasing LAI over a rain
event can identify whether VOD increases associated with that storm are due
to growth or only rehydration. As such, we are interested in using LAI
changes qualitatively to determine whether LAI is increasing or decreasing
over more than week-long periods. Therefore, biases in LAI magnitude do not
influence the analysis.</p>
      <p id="d1e294">Use of SEVIRI LAI for this application is preferred due to SEVIRI's frequent
sampling and filtering techniques that provide better resolution of the
seasonal growth and senescence stages, especially during the wet season,
than other available satellites
(García-Haro et al.,
2013; Gessner et al., 2013). SEVIRI ultimately provides 3–5 d effective
sampling during cloud-contaminated periods, which is typically 4 times
less than effective sampling with low-Earth-orbit satellites (i.e., MODIS)
(Fensholt et al., 2006). Therefore,
despite being global, low-Earth-orbit satellites are not used because they
sample too coarsely in time for the applications here. Furthermore, SEVIRI
LAI retrievals in the herbaceous biomes evaluated in Africa have the lowest
retrieval errors (García-Haro et al., 2013).
Therefore, SEVIRI LAI is likely to detect increasing biomass over 1- to 2-week periods. While no other adequate satellites exist for direct comparison
with results here, the analysis was repeated with the SEVIRI fraction of
absorbed photosynthetically active radiation (FAPAR) observations, derived
from different measurement frequencies than LAI, and similar results were
obtained (Fig. S1).</p>
      <p id="d1e297">Ancillary data are used to evaluate climate and biome dependencies of the
findings. Specifically, we compute mean annual precipitation using the
Global Precipitation Measurement IMERG product (Huffman,
2015) and tree cover<?pagebreak page834?> from the Moderate Resolution Imaging Spectroradiometer
(MODIS) (Dimiceli et al., 2015) to evaluate VOD
behavior across climate gradients. International Geosphere-Biosphere
Programme (IGBP) land cover maps are used to remove frozen and bare ground
(Kim, 2013). Tree cover is also used to remove densely
vegetated forests where soil moisture and VOD satellite estimation are
uncertain.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e302">Schematic definitions of rain pulse, soil moisture drydown period,
and time to peak plant water content (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Soil moisture pulse identification</title>
      <p id="d1e330">VOD behavior and response timescales are evaluated during soil moisture
drydown periods that occur after rainfall (Fig. 1). Drydown periods, or soil
moisture pulses, are defined as an increase in soil moisture of at least
0.01 m<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>/m<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> followed by a drying period of at least four
consecutive measurements (approximately 8–12 d). This approach is nearly
identical to previous approaches
(McColl et al., 2017; Shellito et al.,
2018). To remove seasonal drydowns less associated with an individual
rainfall event, drying periods of longer than 20 d are not included.
Seasonal trends (periodic climatology) are removed from soil moisture and
VOD time series during drydowns, while preserving the magnitude of initial
conditions (Feldman et al., 2019).
This procedure removes seasonal VOD growth trends to isolate short-term
increases associated with a given storm that are due to pulse-driven growth
and/or slow rehydration. Note that differences persist in the literature on
whether the rain event or plant response is defined as the pulse
(Reynolds et al., 2004).
Both soil and plant responses are discussed as pulses here.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Vegetation pulse response timescale estimation and analysis</title>
      <p id="d1e359">For infiltrating water to ultimately reach the leaf, it must typically
percolate from the soil surface to the roots, pass through the root
endodermis, and move up the xylem through the shoot to leaves
(Mackay
et al., 2015; Sperry et al., 1998, 2016). Given an identified soil moisture
drydown period, the VOD response timescale, defined here as time to peak
(<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), is estimated as the time from the beginning of the soil moisture
drydown to the first local maximum value of VOD (Fig. 1). After a period of
water storage, plant water content loss occurs due to surface and
atmospheric drying and warming, creating a peak in plant water content
conditions that <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> attempts to quantify (Feldman et
al., 2020). <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> captures the aggregate rehydration and growth timescale
during this soil–plant water transport process. The <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimation relies
on consecutive VOD increases, which provide more robust estimates than the
global maximum during the drydown. To increase sample size, we conduct the
analysis on all pixels contained within a <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> domain
(includes <inline-formula><mml:math id="M20" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 SMAP pixels). Densely forested regions
(<inline-formula><mml:math id="M21" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 40 % tree cover; such as the Congo and Amazon basins) are
masked because soil moisture and VOD estimates are less certain from
radiative transfer limitations in dense canopies
(Feldman et al., 2018;
Konings et al., 2017).</p>
      <p id="d1e441">We compute the median <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> over all drydowns within each <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> pixel. The <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> probability mass function within a given pixel
typically has a mixed distribution with many zeros, resembling a
zero-inflated Poisson distribution. The median <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is chosen to describe
this distribution because it not only provides a typical timescale of VOD
increase, but also indicates whether or not the majority of pulses resulted
in consecutive, multi-day VOD increases (as opposed to the mean, which can
be greater than zero even if a majority of pulses resulted in a <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of
zero). Several tests are performed to determine the effects of SMAP's
irregular, above-daily sampling period, the algorithm, and measurement noise
on <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates for a given pulse (see Sect. 2.4).</p>
      <p id="d1e520">The <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> definition evaluates continuous post-rainfall VOD increases and
potentially neglects the duration of plant water content increases during
the period of soil moisture increase (between the observations before the
drydown beginning and at the drydown beginning). We do not attempt to
estimate the duration of VOD increase during the soil moisture increase
period because it is not possible to resolve when plant water content
increases initiated due to the 1–3 d satellite sampling frequency.
Instead, the VOD behavior preceding the drydown is categorically evaluated
by determining the frequency of plant water content increases during the
rain pulse. This allows evaluations of <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of zero, which can result from
either a rapid rehydration response during the rainstorm (on the order of
hours) or no rehydration response throughout the pulse (no VOD increase).</p>
      <?pagebreak page835?><p id="d1e545">For each soil moisture pulse within a pixel, <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is estimated along with
the LAI change from beginning to end of the drydown (<inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI),
antecedent surface soil moisture (soil moisture value before drydown
beginning), soil moisture pulse magnitude (difference between initially
pulsed and antecedent surface soil moisture), and antecedent VOD. Antecedent
is defined here as the observation just preceding the peak soil moisture
observation beginning the drydown. Each variable is binned into rapid VOD
response (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), short VOD increase (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>≤</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> d), and
long VOD increase (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> d) groups because they provide
partitions consistent with the satellite sampling and because uncertainty
analyses reveal that while a <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimate for a given drydown is
uncertain, there is more confidence in whether it exists within a given bin
(see Sect. 3.4). The groups of three different <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> lengths are then
compared for each respective metric of <inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI, antecedent surface soil
moisture, soil moisture pulse magnitude, and antecedent VOD. Due to
non-normality of groups based on Jarque–Bera normality tests
(Jarque and Bera, 1980), Kruskal–Wallis non-parametric tests are
performed to determine significance of difference in medians between the
<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> groups for each respective metric. Also, correlation coefficients are
computed between <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI, antecedent moisture, and pulse
magnitude to augment the categorical analyses.</p>
      <p id="d1e675">The seasonal timing of rapid, short, and long <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values is assessed
relative to peak seasonal moisture, or the proximity to the wet season. The
peak seasonal soil moisture is determined by smoothing the soil moisture
times series using a 90 d moving-average window. This only provides a
zero-order seasonal moisture peak approximation as many locations have
intermittent rainfall or bimodal precipitation distributions.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Satellite plant water content response uncertainty analysis</title>
      <p id="d1e697">Several tests were conducted to evaluate the robustness of <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates
given uncertainties due to a 1–3 d satellite sampling frequency, the soil
moisture–VOD retrieval algorithm, and random instrument noise on the order of
that of the SMAP radiometer
(Piepmeier et al., 2017). A
stochastic rainfall generator was used to simulate soil moisture and
consequent drydowns. A range of “true” VOD behavior was considered such
as perfect correlation with soil moisture (true <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of zero) and
multi-day VOD increases during drying (true <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> greater than zero).
Analyses were conducted directly on these simulated time series, including
converting these time series to TB measurements for implementation in the
algorithm and comparing the original true VOD time series to the
algorithm-estimated VOD time series as in Zwieback et al. (2019). For tests
with the 1–3 d satellite sampling frequency, the effect of
randomly removing observations every 1–2 d on <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was assessed. To
test the effect of the soil moisture–VOD retrieval algorithm on <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
was estimated after inputting true TB measurements into the retrieval
algorithm. Finally, to assess the effect of instrument noise on <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
estimates, this aforementioned process was repeated by adding normally
distributed random error to TB measurements.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Plant hydraulic model simulations</title>
      <p id="d1e788">To investigate the underlying mechanisms that alter plant rehydration
timescales, we evaluate plant hydraulic storage timescales under varying
conditions after a surface soil moisture pulse using a plant hydraulic
model. We specifically choose a one-dimensional soil–plant–atmosphere
continuum (SPAC) model, assessed in previous studies
(Carlson and Lynn, 1991; Hartzell et
al., 2017; Lhomme et al., 2001; Zhuang et al., 2014). Note that assimilating
satellite VOD into a SPAC model is beyond the scope of this study and is
hindered by the large number of unknown plant hydraulic parameters at global
scales. SPAC simulations are repeated and randomized using a Monte Carlo
approach, drawing from parameter distributions based on previous field
measurements. More details can be found about the SPAC model in the SI.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e793">Median time to peak plant water content (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) after soil moisture
pulse. <bold>(a)</bold> Median <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> global distribution. Median <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> binned as a
function of <bold>(b)</bold> mean annual precipitation and <bold>(c)</bold> tree cover. Mostly bare
surfaces with low vegetation density are masked. Densely forested areas
(tree cover <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> %) are masked due to limitations in VOD
estimation for dense canopies.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global plant water content characteristic responses and timescales</title>
      <p id="d1e871">The VOD data show that more arid regions, with lower annual rainfall and
tree cover (Fig. 2b and c), exhibit multi-day vegetation water content
increases following moisture pulses (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d, blue regions in
Fig. 2a). That is, after soil moisture increases following a storm,
vegetation water content increases for multiple days even while surface soil
moisture begins to dry. Furthermore, in regions with <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d, VOD
typically begins increasing during the rain pulse period instead of with a
lag after soil moisture drying begins (occurs in 77 % of the pixels).
Aggregated example time series of this nonzero <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> behavior can be seen
in drylands in the Sahel and southwest United States (Fig. 3a and b). In
the regions with multi-day VOD increases, the spatial median <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is 2 d. Note that various responses are spatially aggregated together to
produce the post-rainfall responses in Fig. 3. In subsequent sections, we
evaluate and partition the mechanisms underlying these multi-day plant water
content increases primarily in drylands (blue regions in Fig. 2a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e928">VOD rate of change distribution on a given day after the pulse for
regions outlined in the insets. Boxes delineate the interquartile range for
each day. dVOD <inline-formula><mml:math id="M57" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M58" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is normalized by dividing by VOD time mean for a given
pixel for consistent comparison across regions. dVOD <inline-formula><mml:math id="M59" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M60" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is reported as the
average change rate over a given day (for example, from day 0 to day 1). All
pixels with the noted dominant land cover (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> % IGBP land
cover type) are used within the boxed region in the inset to create the
distributions for each respective day after the pulse. Gray shading
indicates the pulse period when soil moisture is increasing (Fig. 1). At
time greater than zero, soil moisture is drying (drydown event; see Fig. 1).
Behavior extends beyond a week in many cases, but only 8 d following
the pulse are shown here. Note that top and bottom panels have different
<inline-formula><mml:math id="M62" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis limits.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f03.png"/>

        </fig>

      <p id="d1e983">By contrast, more humid ecosystems with more woody plant coverage typically
do not exhibit multi-day plant water content increases (<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 2).
They instead exhibit water loss following the pulse during soil drying (see
average behavior illustrated in Fig. 3c and d). In 83 % of regions with
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of zero (red regions in Fig. 2a), the plant drying responses are
typically preceded by an initial VOD increase, showing rapid water uptake
during the storm period (Fig. S2). In contrast, a minority of these regions
typically show no VOD increases, suggesting plant water content continuously
dries throughout the pulse with no discernable hydraulic response (Fig. S2).
We do not investigate regions with median <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of zero further here
because their exact sub-daily timescales are unresolvable, but within
expectations (see Discussion).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1026">Relationship of plant water content increase timescales with biomass
changes in African regions with median <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d. Growth increases
the timescale of plant water content. Mann–Whitney <inline-formula><mml:math id="M67" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> tests indicate that the
medians of the two bins are significantly different (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f04.png"/>

        </fig>

</sec>
<?pagebreak page837?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Growth influence on plant water content increase timescales</title>
      <p id="d1e1077">A positive correlation between LAI rates of change and plant water content
increase timescales is found in 72 % of African pixels with median
<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Therefore, longer <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are associated
with increasing biomass within a given pixel (Fig. 4). Calculating the LAI
rates of change for the rapid VOD response (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), short VOD increase
(<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>≤</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>), and long VOD increase (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) groups
reveals that growth tends to occur alongside plant water content increases
longer than 3 d (Fig. 5a, c, and d). These longer plant water
content uptake timescales average 7 d and continue beyond a week 40 %
of the time. This growth influence means that rehydration alone cannot
explain longer plant water content increase durations. Note that VOD
increases during growth still demonstrate increased aboveground plant water
content because more aboveground biomass requires water uptake to hydrate a
greater volumetric plant storage capacity. There are some pixels that show
declining biomass during longer <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 5d). We attribute these cases
to detection of longer <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> during senescence in regions where senescence
of leaf area is differentially more rapid than growth. Ultimately, we
interpret overall spatial patterns and avoid interpreting individual pixels,
acknowledging noisy <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates in some cases (see Sect. 3.4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1203">Timescale of plant water content increases in relation to biomass
changes and seasonality in African regions with median <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d.
Growth influences the plant water uptake timescale when <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI <inline-formula><mml:math id="M80" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. By contrast, only rehydration contributes to plant water
content increases when <inline-formula><mml:math id="M82" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI <inline-formula><mml:math id="M83" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Only intermittent
variability in VOD is used to produce <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, removing confounding seasonal
connections with LAI (see text and SI). <bold>(a)</bold> Mean change in LAI per day over
length of pulse period binned into rapid responses (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), short VOD
increases (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>≤</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> d), and long VOD increases (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> d). A Kruskal–Wallis test indicates group medians are all
significantly different (<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2576</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Pairwise Mann–Whitney <inline-formula><mml:math id="M93" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> tests confirm that all pairs are
significantly different (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(b)</bold> Seasonality of short and long
VOD increase occurrences with respect to seasonal soil moisture peak.
Positive and negative time indicates occurrence after and before the soil
moisture seasonal peak, respectively. Plotted values are spatial medians in
60 d sized bins. Sample size in each bin (in a given pixel) is over 100,
though pulses tend to be more frequent closer to seasonal soil moisture
peak. <bold>(c)</bold> Spatial distribution of median <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI <inline-formula><mml:math id="M96" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> for short
VOD increases as binned in <bold>(a)</bold>. <bold>(d)</bold> Spatial distribution of median <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>LAI <inline-formula><mml:math id="M99" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> for long VOD increases as binned in <bold>(a)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f05.png"/>

        </fig>

      <p id="d1e1477">In general, growth does not influence shorter plant water content increase
timescales; LAI is often decreasing when <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is 1–3 d (Fig. 5a).
Therefore, plant water content increases over less than 3 d are
mostly due to rehydration. Furthermore, when VOD increases do not extend
beyond a day (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), growth is also less frequently occurring.</p>
      <p id="d1e1507">The reoccurrence of growth-influenced, multi-day VOD increases consistently
following soil moisture pulses means that rainfall intermittently triggers
growth throughout a year. <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values greater than 3 d are linked to pulse-driven
growth because they coincide with increasing daily LAI (Fig. 5),
consistently co-occur with a soil moisture pulse, and are separated from
seasonal growth patterns. Our seasonal detrending of VOD isolates these
pulsed plant growth responses from seasonal growth cycles. These isolated
sub-weekly VOD responses closely link to the timing of moisture pulses,
suggesting a cause–effect of rain pulse followed by plant water content
response.</p>
      <p id="d1e1521">Although this daily LAI dataset is limited to Africa only, Africa contains
one-third of the world's regions with median <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d (blue
regions in Fig. 2a), and we expect similar results for the rest of the globe.
Note that these results are not sensitive to the 3 d threshold choice
between long and short VOD increase groups; they are nearly identical if
choosing a threshold of 2, 4, or 5 d. Furthermore, results
repeated with FAPAR are qualitatively the same (Fig. S1; see Sect. 2.1).</p>
      <p id="d1e1539">On average, the short and long VOD increase bins occur approximately with
equal frequency, both with seasonal variations (Fig. 5b). Longer-duration
VOD increases influenced by growth (Fig. 5a) appear to occur more frequently
during times of the year when soil moisture is higher (Fig. 5b). In
contrast, short VOD increases, associated more with rehydration, occur more
often during drier times of the year (Fig. 5b). Furthermore, rapid
rehydration responses occur 40 %–50 % of the time throughout the year
amongst the multi-day VOD increases.</p>
      <p id="d1e1542">LAI growth rates average 0.005 m<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>/m<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> per day for these long VOD
increases. On a mean percent change basis, this translates to a 15 % LAI
increase on average over the course of a week after a pulse. Note that LAI
may not detect additional branch–stem biomass growth that VOD may detect.
Ultimately, we are more interested in qualitatively increasing trends in LAI
rather than the magnitudes of LAI rates of change which are less certain.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1565">Global spatial distribution of pulse conditions binned as a function
of rapid VOD response (<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), short VOD increases (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–3 d), and long VOD increases (<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> d) in regions with
median <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d. Kruskal–Wallis (KW) tests indicate all group
medians are significantly different within each panel, and pairwise
Mann–Whitney <inline-formula><mml:math id="M111" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> tests confirm that all possible combinations of differences
in group medians across <bold>(a)</bold>, <bold>(b)</bold>, and <bold>(c)</bold> are significantly different (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). <bold>(a)</bold> Antecedent surface soil moisture (KW test <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2200</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). A total of 77 % of pixels have
significantly positive linear relationships with <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).
<bold>(b)</bold> Surface soil moisture pulse magnitude (KW test <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7819</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). A total of 85 % of pixels have
significantly positive linear relationships with <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).
<bold>(c)</bold> Antecedent VOD (KW test <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>163,
<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). A total of 81 % of pixels have significantly negative linear
relationships with <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Pulse condition influence on plant water content increase timescales</title>
      <p id="d1e1867">Variations in VOD increase timescales across space and time likely occur as
a result of differences in vegetation traits, edaphic and topographic
properties affecting soil moisture infiltration, and climatic properties.
While an evaluation of all of these factors is beyond the scope of this
paper, we focus here on climatic drivers. To evaluate the climatic
drivers of VOD increase timescales in regions with median <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> d (blue regions in Fig. 2a), we assess how <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> relates to rain pulse
conditions: antecedent surface soil moisture, soil moisture pulse magnitude,
and antecedent VOD. Growth-influenced VOD increases of longer duration are
associated with initially wetter surface soil (Fig. 6a) as well as with
larger pulse magnitudes (Fig. 6b). This suggests that the surface must be
sufficiently wet initially, and a large enough pulse must occur to elicit a
growth response. Conversely, shorter-duration VOD increases associated
primarily with rehydration frequently occur under drier initial soil
conditions with smaller rewetting pulses (Fig. 6). This is consistent<?pagebreak page838?> with
short increase durations becoming more prevalent during drier periods and
long increase durations becoming more prevalent in wet periods (Fig. 5b).
Note that while these results are shown globally, they are nearly identical
when calculated for only Africa (not shown), and therefore they can be
consistently compared with the growth assessment results and timescale bins
(Sect. 3.2; Fig. 5).</p>
      <p id="d1e1896">In assessing what differentiates rapid responses (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> d) and
short VOD increases (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–3 d) that appear driven by only
rehydration, we find short VOD increases have slightly larger pulse
magnitudes (Fig. 6b) and drier antecedent soil moisture than rapid responses
(Fig. 6a). Also, drier initial plant water status for short VOD increases
(Fig. 6c) independently suggests a slightly drier root zone initially than
for rapid responses (Fig. S13). Note that mean differences are small between
these metrics, even though they show statistical significance (likely effect
of large sample size deflating <inline-formula><mml:math id="M132" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values). Nevertheless, cases of vegetation
water content increase on the order of 1–3 d, due primarily to
rehydration, occur under dry soil conditions with small to moderate
rewetting pulses.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Satellite plant water content response uncertainty analysis</title>
      <p id="d1e1944">Satellite <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates appear robust with effects of satellite sampling
frequency, algorithmic estimation error, and measurement noise increasing
<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> variance, but not introducing discernable biases. The SMAP sampling
period of 1–3 d results in greater variance but no mean biases for
<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates below the Nyquist frequency of 4–6 d (Figs. S4 and S5).
One can combine low-frequency microwave measurements from similar satellites
(Kerr et al., 2010) to increase the sampling frequency and
reduce uncertainty in <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates here. This is not attempted due to
complications in combining the datasets. The MT-DCA algorithm used here
reduces sensitivity to noise within the simultaneous soil moisture–VOD
estimation
(Konings
et al., 2015, 2016; Zwieback et al., 2019). We found that use of a
traditional algorithm biases <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> towards zero (Fig. S7) because its
greater sensitivity to noise will tend to spuriously induce positive
correlation between soil moisture and VOD within the estimation procedure
(Konings et al., 2016).
Therefore, increases in VOD during soil drying and thus positive <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are
not a result of algorithmic<?pagebreak page839?> artifacts from the MT-DCA algorithm used here
(Feldman et al., 2018). It is also unlikely that
algorithmic noise is driving spatial patterns as both algorithms produce the
same <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> spatial patterns. Note that the MT-DCA algorithm can slightly
artificially increase <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, though measurement noise may cancel this
effect (Fig. S4). Finally, measurement noise primarily increases the
variance of <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S4).</p>
      <p id="d1e2047">Ultimately, while identifying precise <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values for a given drydown may
be hindered by these sources of uncertainty, median <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values for a pixel are
likely not biased, and more confidence is exhibited in whether <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is zero
or non-zero (Fig. S6). This uncertainty analysis provides confidence in the
global patterns of median <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and results based on binned <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> where
zero, short, and long <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> can be confidently partitioned.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Plant water uptake timescale variation across climates</title>
      <p id="d1e2134">We observe a continuum of plant water uptake timescales from humid to
dryland environments, with mainly drylands showing frequent multi-day plant
water content increases after rainfall before water loss occurs (Fig. 2).
Given that plant hydraulic capacitance increases at least 3 orders of
magnitude from grasses in drylands to trees in humid regions
(Carlson and Lynn, 1991; Hunt et al., 1991), one might expect, if at all, occurrence of multi-day
responses in wooded regions. However, humid, wooded regions broadly exhibit
peak plant water content during rather than after the storm event, before
soil drying begins (Figs. 2 and S2). Plant water loss occurs thereafter
(Fig. 3c and d), likely due to simultaneous soil and plant drying where
plant rehydration becomes progressively restricted with drying soil
(Feldman et al., 2020). The initial VOD increase can be
due to plant water uptake where pre-dawn water potential approaches
equilibrium with soil moisture and/or due to plant interception of rainfall
droplets.<?pagebreak page840?> In some cases, no discernible VOD increase occurs before or after
the pulse, which may indicate sufficiently well-watered conditions (Fig. S2). Even in drylands, pulse water utilization for plant rehydration
decreases if the plant–soil system is initially sufficiently wet
(Ehleringer
et al., 1991; Gebauer et al., 2002; Ignace et al., 2007). Nevertheless, due
to the 1–3 d satellite sampling, we are unable to resolve more specific
plant water content timescales and underlying mechanisms for these
well-watered, wooded regions.</p>
      <p id="d1e2137">The consistent trend of multi-day plant water content increases, which are
found broadly across dry regions (Fig. 2), is unexpected, at least in the
context of nominal RC time constants (plant water uptake and storage
timescales). Field-based estimates of plant water uptake timescales (via RC
plant hydraulic time constants) typically do not exceed a day, regardless of
species
(Huang
et al., 2017; Nobel and Jordan, 1983; Phillips et al., 1997, 2004; Ward et
al., 2013). This is in part because plant capacitance and resistance tend to
trade off with changes in plant architecture and moisture conditions (i.e.,
capacitance increases and resistance decreases generally from grass to tree
species)
(Hunt et al., 1991; Phillips et al., 1997; Richards et al., 2014; Ward et al.,
2013). We find both the influence of growth and slow plant rehydration
contribute to these observed multi-day VOD increases. We discuss these
growth and plant rehydration mechanisms observed in drylands further below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2142">SPAC model simulations of determined sufficient conditions driving
slow rehydration (see text and SI) for semi-arid grass and shrub species.
Rate of change in predawn water potential (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mtext>w</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of all plant water
stores on a given day following a pulse where <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mtext>w</mml:mtext></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> indicates rehydration. Same format and conventions as Fig. 3. Parameter
bounds determined to drive each slow rehydration scenario are shown in each
panel. <bold>(a)</bold> Plant limitation only where plant resistance (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is
initially high and decreases. <bold>(b)</bold> Soil limitation only where root zone soil
moisture is initially dry and pulses are small to moderate, causing slow
infiltration. <bold>(c)</bold> Both plant and soil limitations superposed from <bold>(a)</bold> and <bold>(b)</bold>.
Parameter ranges common amongst all simulations: rooting depth <inline-formula><mml:math id="M152" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.3 to
0.7 m, vapor pressure deficit (VPD) <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 to 5 kPa, wind <inline-formula><mml:math id="M154" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 to 8 m/s, capacitance <inline-formula><mml:math id="M155" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 10<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m/MPa, <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>S</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> impairment factor <inline-formula><mml:math id="M159" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. See SI for more
information on the SPAC model and simulations.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/18/831/2021/bg-18-831-2021-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Growth impact on dryland plant water uptake timescales</title>
      <p id="d1e2318">As is evident in independent satellite LAI observations, growth increases
the duration of plant water content increases (Fig. 4) and appears to occur
primarily for plant water content increases of more than 3 d in
dryland regions (Fig. 5). These week-long consecutive plant water content
increases occur when the soil is initially wetter and pulses are larger
(Fig. 6). These results are based on 1–2-week increasing trends in LAI
coinciding with VOD increases of more than 3 d. Confidence is
exhibited in these sub-monthly LAI trends because of SEVIRI's ability to
resolve the seasonal growth stages during the wet season, lower LAI
uncertainty in Africa's biomes with herbaceous vegetation, and SEVIRI's
filtering of LAI noise. Therefore, plant rehydration alone cannot explain
these longer-duration VOD increases. We further suspect rehydration is rapid
under these well-watered conditions. While pulsed growth is expected to
occur with a lag of 1–5 d (Ogle and
Reynolds, 2004), these lags may be obscured in the sampling of VOD and
initial VOD increases due to rehydration. Furthermore, these pulsed plant
water content increases due to growth may continue for longer than detected
here (beyond 2 weeks). However, continued water loss and VOD decreases
through transpiration may eventually dominate over VOD increases due to
growth, curtailing the peak VOD (resulting in behavior like that shown
schematically in Fig. 1). VOD ultimately shows sub-weekly growth temporal
dynamics beyond those resolved from optical instruments.</p>
      <p id="d1e2321">These results indicate that large soil moisture pulses on initially wetter
soils trigger dryland vegetation growth responses after storm events, as
hypothesized under the pulse reserve paradigm
(Collins et al., 2014; Noy-Meir,
1973). This weekly variability, at least in part, drives seasonal growth in
these locations (Reynolds et
al., 1999) where the seasonal growth cycles appear to be made up of
sub-weekly intermittent growth dynamics as modeled in
Ogle and Reynolds (2004). The
growth occurrences under wetter conditions are expected given that cell
turgor must be high for cell expansion and rapid growth to occur
(Kramer and Boyer, 1995). Furthermore, a recent study showed
that larger pulses during the growing season resulted in 1–2 weeks of
increasing leaf and stalk density in a semi-arid grassland, consistent with
results here (Post and Knapp, 2019).
Additionally, larger pulses have previously been shown to elicit greater
plant photosynthetic responses
(Chen et
al., 2009; Dougherty et al., 1996; Schwinning and Sala, 2004). In a similar
study, these longer satellite-based plant water uptake responses coincided
with larger and longer carbon uptake responses at dryland flux tower sites
following larger moisture pulses on initially wet soils
(Feldman et al., 2021). Therefore, detection of
pulse-triggered growth on timescales of drydowns here is consistent with
previous results, although it is the first to show how widespread the
pulse-triggered growth dynamics are in drylands. Additionally, the seasonal
occurrence of growth-driven, longer <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 5b) supports the fact that pulses
will trigger growth primarily in the season when species are phenologically
active and able to invest in aboveground biomass
(Post
and Knapp, 2019; Reynolds et al., 1999; Schwinning and Sala, 2004).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Slow dryland plant rehydration mechanisms</title>
      <p id="d1e2343">Over half of the moisture pulses, primarily in global drylands, result in
multi-day satellite-observed plant water content increases (Fig. 2). These
multi-day VOD increases are often only due to rehydration, especially the
shorter VOD increases (1–3 d) following small to moderate pulses on
initially dry soils (Figs. 5 and 6). They can occur even when biomass is
decreasing (Fig. 5c; such as leaf off), where the relative water content
increases are larger than what the VOD increase signal suggests. For dryland
ecosystems that include grass and shrub species with isolated forests,
multi-day rehydration is generally unexpected with nominal RC time constants
on the order of an hour (Carlson
and Lynn, 1991; Hunt et al., 1991). However, previous field studies often
show 1–4 d rehydration of grasses and shrubs upon rewetting following dry
conditions, especially in the southwestern United States, where multi-day
VOD increases are observed
(Briones
et al., 1998; Fravolini et al., 2005; Huxman et al., 2004; Ignace et al.,
2007; West et al., 2007).</p>
      <?pagebreak page841?><p id="d1e2346">To better understand the physiological drivers of multi-day rewetting, we
assessed the potential hydrologic and physiological mechanisms driving slow
rehydration using a plant hydraulic (SPAC) model and parameters within known
bounds for semi-arid species (Figs. S8 to S14 and Table S1). We find that
the sufficient conditions for multi-day plant rehydration determined here
include initially high soil–plant resistances decreasing over multiple days
following a storm. These time-varying resistances can occur either in the
soil, plant, or both (Figs. 7, S9, and S11). The possibility of multi-day
rehydration due to these conditions suggests that RC timescales can greatly
deviate from nominal conditions (Scholz et al., 2011),
especially under drought scenarios where resistances are both higher and
changing.</p>
      <p id="d1e2349">After uncoupling effects of soil and plant resistances in the SPAC model, we
suspect that multi-day rehydration as seen by VOD is dominated by plant
resistance limitations rather than soil resistance limitations. This is
because high soil resistances reduce infiltration rates and result in a
phase-lagged delay in plant rehydration (Fig. 7b), which is not observed in
the satellite VOD behavior here. In the slow rehydration cases (<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mtext>p</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–3 d), VOD increases begin immediately during the storm and not with a
phase-lagged delay (Fig. S3). This behavior more closely resembles slow
plant rehydration dominated by plant resistance limitations rather than
those dominated by soil resistance limitations. For example, 1–3 d uptake
timescales based on satellite VOD observations appear like that in Fig. 3a
and b, which more closely resemble SPAC model simulations in Fig. 7a than
in Fig. 7b. Note that both conditions may be present within a
coarse-resolution pixel because the pixel spatially averages plant water
content behavior over the landscape. As a result, a combination of
behaviors like those in Fig. 7 aggregate into the spatially averaged
behavior, like that shown in Fig. 3a and b. Therefore, while plant
resistance limitations may dominate most landscapes that show 1–3 d VOD
increases based on the above discussion, slow infiltration responses may
still be spatially prevalent, with a potential dependence on sub-pixel
antecedent moisture variability.</p>
      <?pagebreak page842?><p id="d1e2367">The initially high, decreasing resistances, as determined from the SPAC
model and likely influencing landscape-scale plant water content behavior,
are likely due to drought recovery of the soil–root interface and xylem
architecture. Initially high, decreasing plant resistances have been
observed in the field, where after rewetting of dry soil conditions,
soil–root interface and xylem resistances can decrease by 1 to 3
orders of magnitude over a few days
(Carminati
et al., 2017; North and Nobel, 1995; Trifilò et al., 2004; West et al.,
2007). Under prolonged dry conditions, a disconnect between soil and root
interface can occur, and after rewetting, the soil–root and radial root
hydraulic conductivity progressively increase
(Carminati et
al., 2009; North and Nobel, 1997). Similarly, xylem cavitation and embolism
from drying lead to increased xylem resistance that can regain conductance
and refill after rewetting (Martorell et al.,
2014), though noting controversies with existence of xylem repair and
refilling
(Charrier
et al., 2016; Lamarque et al., 2018; Venturas et al., 2017). Recent evidence
suggests that whole-root resistance (i.e., soil–root interface, radial)
rather than xylem resistance (from cavitation) dominates the whole-plant
resistance during these drying and rewetting cycles
(Rodriguez-Dominguez and Brodribb, 2020). Finally,
fine root growth can occur after rewetting, which can contribute to
decreasing root resistances, though these effects may occur over longer,
weekly scales (Eissenstat et al.,
1999).</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e2379">The globally observed timescales of plant water content responses to
moisture pulses here reveal a climate gradient of ecosystem-scale vegetation
pulse water usage. The vegetation water content of more wooded, humid
regions appears to respond rapidly to rain pulses, likely with rehydration
responses occurring in less than a day (due to predawn equilibrium). By
contrast, drier ecosystems more often show multi-day plant water uptake
responses following moisture pulses with the timescale of the response
indicative of underlying mechanisms. Specifically, longer plant water
content increases are linked to growth and follow larger pulses on wetter
surfaces. Therefore, dryland vegetation intermittently upregulates and grows
after individual rainfall events, demonstrating spatially extensive evidence
for the pulse reserve hypothesis. Specifically, we show that there is a
component of growth linked directly to individual rainfall events in
addition to any continuous seasonal growth (Noy-Meir, 1973).
Additionally, shorter plant water content increases are indicative of slow
plant rehydration responses and are linked here to hydraulic recovery from
initially dry conditions. The slow rehydration responses indicate that plant
water uptake timescales can frequently deviate from nominal RC time
constants with greatly increased resistances under dry conditions, as
observed previously in field experiments and demonstrated here using a SPAC
model.</p>
      <p id="d1e2382">Our results also indicate that SMAP satellite vegetation optical depth
observations hold biophysical information at sub-weekly timescales. Namely,
they show patterns of rehydration, growth responses, and rain pulse
dependencies consistent with that seen in field studies. These
satellite-based plant water content responses were also shown to have
similar response signatures to carbon uptake responses at dryland field
sites (Feldman et al., 2021). This merits investigation of
sub-monthly ecological processes using these 1–3 d sampled satellite
microwave observations, which so far have been primarily used for seasonal
and interannual VOD variability investigations
(Brandt et al.,
2018; Jones et al., 2014; Tian et al., 2018).</p>
      <p id="d1e2385">We demonstrate that global dryland ecosystems exhibit a high sensitivity to
the characteristics of individual moisture pulses. Therefore, expected
shifts in rainfall frequency and intensity may influence arid to semi-arid
vegetation hydraulic and growth processes, presenting potential feedbacks on
biogeochemical cycles and changes in plant community composition
(Giorgi et al., 2019; Knapp et
al., 2002). These dry ecosystems cover 40 % of the land surface, store
significant amounts of carbon
(Beer
et al., 2010; Collins et al., 2014), regulate atmospheric carbon interannual
variability (Ahlström et al., 2015; Poulter et
al., 2014), and are projected to expand
(Huang et al., 2016). Therefore, it is
key to characterize the vegetation responses to rainfall events – including
their timescales – in these environments in the context of predicting future
climate.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e2392">The SPAC model used in the study was created by the first author and can be accessed at <uri>https://github.com/afeld24/VOD_Timescales/blob/master/Feldmanetal2021_SPACTimeSeries.m</uri> (last access: 15 January 2021, Feldman, 2020). All scripts and related data files displaying the figures are available at <uri>https://github.com/afeld24/VOD_Timescales</uri> (last access: 15 January 2021, Feldman, 2020).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e2404">SMAP L1C brightness temperatures used to retrieve soil moisture are
available from the National Snow and Ice Data Center (NSIDC)
(<uri>https://nsidc.org/data/SPL1CTB_E</uri>, last access: 5 September 2020,  Chaubell et al., 2016). LandSAF leaf area index
is available from EUMETSAT (<uri>https://landsaf.ipma.pt/en/products/vegetation/lai/</uri>, last access: 15 November 2020, Trigo et al., 2011b). Generated maps are
available at <uri>https://github.com/afeld24/VOD_Timescales</uri> (last access: 15 January 2021, Feldman, 2020).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2416">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-18-831-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-18-831-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <?pagebreak page843?><p id="d1e2425">PG and AFF conceived the study. DE led the project. AFF conducted
the analysis and wrote the manuscript. DJSG, AGK, PG, and DE
contributed interpretations and numerous revisions to all versions of the
manuscript, analysis, and figures.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2431">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e2437">This article is part of the special issue “Microwave remote sensing for improved understanding of vegetation-water interactions (BG/HESS inter-journal SI)”. It is a result of the EGU General Assembly 2020, 3–8 May 2020.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2443">The
authors thank Missy Holbrook, Tony Rockwell, Anju Manandhar, and Jess Gersony of the Holbrook Plant Physiology Laboratory at Harvard University
for many insightful discussions. The authors also thank the two anonymous
reviewers for their insightful comments.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2449">This research has been supported by the National Aeronautics and Space Administration (grant nos. 1510842, 80NSSC18K0715, NNH19ZDA001N-SMAP) and the National Oceanic and Atmospheric Administration (grant no. NA17OAR4310127).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2455">This paper was edited by Martin De Kauwe and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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<abstract-html><p>Plant hydraulic and photosynthetic responses to individual rain
pulses are not well understood because field experiments of pulse behavior
are sparse. Understanding individual pulse responses would inform how
rainfall intermittency impacts terrestrial biogeochemical cycles, especially
in drylands, which play a large role in interannual global atmospheric carbon uptake
variability. Using satellite-based estimates of predawn plant
and soil water content from the Soil Moisture Active Passive (SMAP)
satellite, we quantify the timescales of plant water content increases
following rainfall pulses, which we expect bear the signature of whole-plant
mechanisms. In wetter regions, we find that plant water content increases
rapidly and dries along with soil moisture, which we attribute to predawn
soil–plant water potential equilibrium. Global drylands, by contrast, show
multi-day plant water content increases after rain pulses. Shorter increases
are more common following dry initial soil conditions. These are attributed
to slow plant rehydration due to high plant resistances using a plant
hydraulic model. Longer multi-day dryland plant water content increases are
attributed to pulse-driven growth, following larger rain pulses and wetter
initial soil conditions. These dryland responses reflect widespread drought
recovery rehydration responses and individual pulse-driven growth responses,
as supported by previous isolated field experiments. The response dependence
on moisture pulse characteristics, especially in drylands, also shows
ecosystem sensitivity to intra-annual rainfall intensity and frequency,
which are shifting with climate change.</p></abstract-html>
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