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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \hack{\sloppy}?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">HESSD</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESSD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci. Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-2116</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/hessd-12-6305-2015</article-id><title-group><article-title>Land-use changes reinforce the impacts of climate change on annual runoff dynamics in a southeast China coastal watershed</article-title>
      </title-group><?xmltex \runningtitle{Climate change on annual runoff dynamics}?><?xmltex \runningauthor{A.~Ervinia et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ervinia</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Huang</surname><given-names>J.</given-names></name>
          <email>jlhuang@xmu.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Z.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Coastal and Ocean Management Institute, Xiamen University, 361005, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">J. Huang (jlhuang@xmu.edu.cn)</corresp></author-notes><pub-date><day>30</day><month>June</month><year>2015</year></pub-date>
      
      <volume>12</volume>
      <issue>6</issue>
      <fpage>6305</fpage><lpage>6325</lpage>
      <history>
        <date date-type="received"><day>10</day><month>May</month><year>2015</year></date>
           <date date-type="accepted"><day>29</day><month>May</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://hess.copernicus.org/articles/.html">This article is available from https://hess.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>Study on runoff dynamics across different physiographic regions is
fundamentally important to formulate the sound strategies for water
resource management especially in the coastal watershed where peoples
heavily concentrated and relied on water resources. The <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>
diagram, a conceptual model by which the land-changes
evapotranspiration (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:math></inline-formula>) was estimated as the difference
between actual and climate evapotranspiration to identify the specific
impact of land-use changes on annual runoff changes (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>), was
developed using the 53-year hydro-climatic data of Jiulong
River Watershed, a typical medium-sized subtropical coastal watershed
in China. This study found that land-use changes have reinforced the
impact of climatic changes on runoff changes where nearly all points
were scattered in II and IV quadrant. Deforestation and expansion of
built up area has diminished the water retention capacity in
a catchment as well as evapotranspiration thus produce extra runoff accounting
for 12–183 % of total runoff increase. In contrast,
reforestation makes the significant contribution to decreasing annual
runoff for about 21–82 % of total runoff loss. This study
revealed the river runoff has become more vulnerable to intensive
anthropogenic disturbances under the context of climate changes in
a coastal watershed.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>River runoff response to climate changes has been questioning recently
especially in the developing coastal region where peoples heavily
relied on river water. Changes in the hydrological cycle due to
climate change may lead to diverse impacts and risks such as severe
drought and flood in the future (Jiménez et al., 2014; Mudelsee
et al., 2003). Using climate models, global runoff is projected to
decrease in North Asia and Africa while it tends to increase in
high-latitude region of America and Europe as well as in Southern Asia
(Milly et al., 2005; Conway et al., 2009; Piao et al., 2010; Alkama
et al., 2011; Zhang et al., 2011; Arnell and Gosling, 2013). However,
changes in runoff cannot solely be attributed to climate changes
because non-climatic factors such as land-use changes started showing
significant impacts on the river runoff dynamic. For example,
expansion of built-up area due to urbanization has commonly caused
city flooding because of incapability of impervious area absorbing
excess rainfall (O'Driscoll et al., 2010; Milly and Wetherald, 2002;
Liu et al., 2012; Huang et al., 2014). Yet, the combined impacts of
changes in climate and non-climate factor on river runoff are still
less explored due to the difficulties to determine the specific
impacts of non-climatic factors on river runoff. Therefore, research
objective of this study is to identify the relative impacts of climate
and land changes on annual runoff dynamic in a coastal watershed.</p>
      <p>This study presented the <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram, a conceptual model by which
the land-changes evapotranspiration (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:math></inline-formula>) was estimated as the
difference between actual and climate evapotranspiration to identify
the specific impact of land-use changes on annual runoff changes
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>) in a developing coastal watershed, Jiulong River
Watershed, southeast China. This agricultural watershed has
experienced an increase in annual runoff along with increase in
precipitation over the past five decades (Huang et al., 2013). In
addition to climate changes, human pressure in the catchment is also
intense and complex such as land-use changes, dam construction, and
water intake. Large conversion of forest area into agricultural land
was observed in early 1980s following the National Agricultural
Policy. Built up area has expanded steadily over the past three
decades (Huang et al., 2012; Zhou et al., 2014). Construction of more
than 120 large scale dams occurred since 1992 to operate the
hydropower plants (Huang et al., 2013). All of these issues may
potentially disturb natural hydrological process in
a catchment. However, in this study we just focus on the impact of
land-use changes on runoff dynamic. For one thing, although large
scale dams have been constructed within the catchment since 1992, but
there is a strong consensus that dams only alter the intra-annual
(seasonal) variation of runoff rather than annual runoff (Huang
et al., 2013; Maingi and Marsh, 2002; Hu et al., 2008; Supit and
Ohgushi, 2012; Zhang et al., 2012). For another, we ignored the
effects of water intake on the river runoff due to the fact that large
amount of water are taken in the downstream of two hydrological
stations. Finally, it is urgently necessary to investigate the
specific impacts from such small disturbances on landscape pattern in
a watershed on the runoff dynamic under the context of climate changes
which is poorly understood in a developing coastal watershed. This
study can provide us a better insight about how river runoff is
responsive to the changes in climatic and non-climatic factors over
decades, which could be fundamental input for water resources
management.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <title>Study area</title>
      <p>The Jiulong River Watershed, a medium scale coastal watershed, located
in southeast China (from
116<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>46<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>55<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E to
118<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>02<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>17<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E and from
24<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>23<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>53<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N to
25<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>53<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N) (Fig. 1). This
watershed is considered as the second largest watershed in Fujian
Province with total basin area of 14 700 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. Two major
tributaries of North River and West River formed this
watershed. Downstream of these two rivers meet in Zhangzhou and
discharge about 12 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">billion</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of annual runoff into Xiamen
coastal water and eventually reaching Kinmen–Taiwan strait. The
amount of water flowing through downstream of this river is
considerably important to be concerned because it is the only sources
of water for residents in Xiamen. Water is mainly taken from Jiangdong
Reservoir in the downstream of North River.</p>
      <p>Natural is the dominant land-cover type in the watershed accounting
for 70–79 %, followed by agriculture which accounts for
21–29 %, and built accounts for 2–4 % of the total area
(Huang et al., 2012). Administratively, Jiulong River Watershed
comprises of eight counties, including Zhangzhou, Xinlou, Zhangping,
Hua'an, Changtai, Pinghe, Longhai, and Nanjing which rich of natural
resources, including forest area, mineral deposit, and arable
land. Nearly a quarter of Fujian Province's GDP (Gross Domestic
Product) is contributed from the regions within watershed (Huang
et al., 2012). Zhangzhou plain has been one of the most developed
regions in China in term of agricultural production, with the main
products of banana, longan, litchi, pomelo, citrus, and flowers. In
1994, Zhangzhou was approved as a National Export-oriented
Agricultural Demonstration Zone. Chinese government encouraged
agricultural production through National Agricultural Policy in 1980s,
to meet the demand of national food security.</p>
      <p>Anthropogenic disturbances have become unavoidable in watershed. Large
conversion of forest area into agricultural land was detected during
1986–1996. Urbanization has also started appearing in watershed,
where built up land has increased steadily over time (Huang et al.,
2012; Zhou et al., 2014). The dynamic changes in land-use pattern were
clearly described in Fig. 2.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Data</title>
      <p><italic>Hydrologic data</italic>: data of daily runoff (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
recorded in Punan and Zhengdian hydrological stations (Fig. 1) were
used in this study to investigate runoff dynamic in North River and
West River during 1961–2013. These data of daily runoff were obtained
from Hydrological Bureau of Fujian Province. Daily runoff data was
aggregated annually to obtain annual runoff (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>). Afterward,
runoff (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) was divided with catchment area (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)
toward runoff in mm. Catchment area of North River and West River is
about 9560 and 3992 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> respectively.</p>
      <p><italic>Climatic data</italic>: this study used two main climatic parameters,
namely precipitation (mm) and temperature (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Data of daily
precipitation and daily temperature (minimum, mean, and maximum)
recorded in Longyan and Zhangzhou meteorological stations (Fig. 1)
were collected to examine changes in climate variabiles in North River
and West River during 1961–2013. These climate data were acquired
from China Meteorological Administration website
(<uri>http://www.cma.gov.cn</uri>). Similar to hydrologic data, data of daily
precipitation were also aggregated annually to obtain annual
precipitation (mm). For data of daily temperature, it was averaged to
obtain mean annual temperature.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Temporal trend of hydro-climatic variables</title>
      <p>Regression analysis was used to examine the annual trend of
hydro-climatic variability during 1961–2013. Increasing or decreasing
tendency of hydro-climatic variability was identified from <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value
Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>). Positive <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value indicated hydro-climatic parameter
has been increased over time. In contrast, negative <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value
demonstrated hydro-climatic has been decreased over time. The change
is significant when <inline-formula><mml:math display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>0.05</mml:mn></mml:mrow></mml:math></inline-formula> (confidence level of
95 %).

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:math></disp-formula>

          Where: <inline-formula><mml:math display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual hydro-climatic variables; <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> intercept;
<inline-formula><mml:math display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> year; <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> coefficient regression.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <title>Hydro-climatic model</title>
      <p>Using water balance equation, precipitation lost in the environment
through evapotranspiration, runoff, and storage (Eq. 2). Assuming the
changes in storage capacity (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula>) is small over time (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>), runoff (<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) therefore can be estimated as the difference between
precipitation (<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) and evapotranspiration (<inline-formula><mml:math display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>) (Eq. 3). Schreiber
(1904) discovered evapotranspiration as a function of aridity index
(<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) (Eq. 4). Aridity index itself refers to the ratio of
potential evapotranspiration to precipitation (Arora, 2002)
(Eq. 5). Simple model to estimate potential evapotranspiration was
developed by Hargraeves (2003) based on temperature data
(Eq. 6). Finally, runoff has positive linear relation with
precipitation and negative exponential relation with aridity index
(Eq. 7).
<?xmltex \hack{\allowdisplaybreaks{\begin{align}
&
\label{eq2}
P=E+R+\frac{\Delta S}{\Delta t}\\
&
\label{eq3}
R=P-E\\
&
\label{eq4}
\frac{E}{P}=1-e^{-\alpha}\\
&
\label{eq5}
\alpha=\frac{E_{o}} {P}\\
&
\label{eq6}
E_{o} =0.0023 \cdot R_{a} \cdot({T_\mathrm{m} +17.8} ) \cdot\sqrt{T_{\max}  -T_{\min}}\\
&
\label{eq7}
R=P e^{-\alpha}
\end{align}}}?>Where: <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual precipitation (mm); <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual runoff
(mm); <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> changes in storage capacity over time;
<inline-formula><mml:math display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual evapotranspiration (mm); <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> aridity
index; <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual potential evapotranspiration
(mm); <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> extraterrestrial radiation
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">MJ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> – values can be converted to equivalent
values in <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">day</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> by dividing by Lambda <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.45);
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>min</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean,
maximum, and minimum temperature (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).</p>
      <p>Relationship between runoff and climatic variability was compared
during five periods from 1960s, 1970s, 1980s, 1990s, to 2000s in order
to identify the influence of non-climatic factors on runoff dynamic.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <?xmltex \opttitle{Development of $L$-$R$ diagram to identify relative impact of land changes on annual runoff dynamic}?><title>Development of <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram to identify relative impact of land changes on annual runoff dynamic</title>
      <p>Changes in precipitation and evapotranspiration are the main factors
contributing to runoff changes. For precipitation changes, it is
certainly driven by climatic variability; while evapotranspiration
changes are not merely affected by climatic variability, but also by
vegetation type and land use. Vegetation loss may lead to decrease in
evapotranspiration as well as diminish catchment storage capacity thus
potentially increase the annual runoff. In contrast, reforestation is
likely enhancing evapotransporation and retarding the water in
catchment which might decrease the annual runoff.</p>
      <p>Changes in evapotranspiration due to land-use changes (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:math></inline-formula>)
were estimated as the difference between the changes in actual
evapotranspiration (Ea) and changes in climate evapotranspiration (Ec)
(Eq. 8). Actual evapotranspiration (Ea) can be considered as the
difference between precipitation (<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) and runoff (<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) based on
aforementioned annual water balance equation (Eq. 9). For climate
evapotranspiration (Ec), we used the model developed by Schreiber
(1904) which considered evapotranspiration as the function of aridity
index (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) (Eq. 10). Aridity index refers to the ratio of
potential evapotranspiration to precipitation (Eq. 5). This study used
Hargreaves equation to estimate potential evapotranspiration (Eo)
(Eq. 6). Later, land use coefficient (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:math></inline-formula>) was plotted
against annual runoff changes coefficient (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula>) (Eq. 11),
producing <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram to identify the specific impact of land
changes on runoff dynamics.

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfrac><mml:mi>L</mml:mi><mml:mi>P</mml:mi></mml:mfrac><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfrac><mml:mtext>Ea</mml:mtext><mml:mi>P</mml:mi></mml:mfrac><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfrac><mml:mtext>Ec</mml:mtext><mml:mi>P</mml:mi></mml:mfrac></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mfrac><mml:mtext>Ea</mml:mtext><mml:mi>P</mml:mi></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>P</mml:mi><mml:mo>-</mml:mo><mml:mi>R</mml:mi></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mfrac><mml:mtext>Ec</mml:mtext><mml:mi>P</mml:mi></mml:mfrac><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfrac><mml:mi>R</mml:mi><mml:mi>P</mml:mi></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Where: Ea <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> actual annual evapotranspiration (mm); Ec <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual
climate evapotranspiration (mm); <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual precipitation (mm);
<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual runoff (mm); <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> aridity index;
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual runoff in year of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (mm);
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual runoff in year <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> (mm); <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual
precipitation in year of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (mm); <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> annual runoff in
year <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> (mm).</p>
</sec>
<sec id="Ch1.S2.SS6">
  <title>Estimation the relative impact of changes in climate and land-use on runoff</title>
      <p>Runoff changes were considerably determined as the changes due to
changes in climatic variables and the changes due to land use
(Eq. <xref ref-type="disp-formula" rid="Ch1.E6"/>). For changes in runoff, we calculated changes in
inter-annual runoff between dry year and wet year
(Eq. <xref ref-type="disp-formula" rid="Ch1.E7"/>). Runoff changes due to climate were estimated using
Eq. (7). Changes in annual runoff due to land changes thereafter were
denoted as the difference between changes in actual runoff and changes
in climatic runoff (Eq. <xref ref-type="disp-formula" rid="Ch1.E8"/>).

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Where: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>R</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> changes in annual runoff (mm);
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> runoff in wet year (mm);
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> runoff in dry year (mm); <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> changes in annual runoff due to changes in climatic
variability (mm); <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> changes in annual runoff
due to changes in land-use (mm).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Hydro-climatic variability in North River and West River</title>
      <p>Annual runoff showed an increasing trend (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn>1.93</mml:mn></mml:mrow></mml:math></inline-formula>) in West River and
decreasing trend (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>0.25) in North River over the past
53 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">years</mml:mi></mml:math></inline-formula> (1961–2013), even though these trend were not
significant (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.904</mml:mn></mml:mrow></mml:math></inline-formula>; 0.430, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Runoff and precipitation
are naturally fluctuated such as an oscillation, consist of dry, normal,
and wet year (Fig. 3). Annual runoff varied from 421 to
1763 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> and annual precipitation ranged from 960 to
2478 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> in dry year and wet year respectively. Indistinct
trend in annual runoff were also found in other river basins following
the unclear trend on precipitation, indicating the climate variability
strongly control the runoff dynamic (Kling et al., 2012). We found
annual runoff (<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) is the function of annual precipitation (<inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) and
aridity index (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) (Eq. 15), which was consistent with the
earliest hydrological model developed by Schreiber (1904).

                <disp-formula id="Ch1.E9" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>P</mml:mi><mml:mi>a</mml:mi></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>b</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:msup><mml:mo>;</mml:mo><mml:mspace width="1em" linebreak="nobreak"/><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0.9995</mml:mn></mml:mrow></mml:math></disp-formula>

          where: <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> aridity index (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mtext>Eo</mml:mtext><mml:mo>/</mml:mo><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula>);
Eo <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> potential evapotranspiration (mm) is calculated using
Hargreaves equation (2003); <inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> precipitation (mm);
<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> runoff (mm); <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> precipitation coefficient;
<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> aridity coefficient.</p>
      <p>From Fig. 3, we could see variation in <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value in
hydro-climatic model in North River and West River over the past five
periods. <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is coefficient of precipitation and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> is aridity index
coefficient.  Both <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> coefficient can be used to describe
runoff response to precipitation and evapotranspiration
respectively. Low <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value indicated that evapotranspiration
was low thus runoff response to precipitation were also low as
observed in 1980s and 1990s. In contrast, high <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value might
represent that evapotranspiration was high thus runoff response to
precipitation were getting higher.</p>
      <p>In general, smaller catchment of West River (3772 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) has
higher <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> value of 0.98 than that in the larger catchment of North
River (9560 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) which is 0.96. This mean river runoff in
the smaller catchment of West River is more responsive to changes in
precipitation. Larger catchment will allow water to be exposed for
a longer duration to infiltration and evaporation before it reaches
the downstream (Critchley and Siegert, 1991). Therefore, the <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value
was higher in the North River. Surprisingly, the lowest <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value were found in West River in 1990s (Fig. 3). Low value of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> were also observed in North River in the two periods of
1980s and 1990s. There should be sharp decreases in evapotranspiration
during these periods in which was closely related to the blooming of
socioeconomic development since 1980s due to open-door policy (Koo and
Lou, 1997) and national agricultural policy in China (Huang et al.,
2012). In the last periods of 2000s, <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> value is much higher,
indicating the evapotranspiration increased.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Land changes reinforces the impact of climate changes on runoff dynamic</title>
      <p>The specific impact of land changes on runoff dynamic can be
identified using <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram (Fig. 4). The <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram
consists of four quadrants. First quadrant described the increase in
evapotranspiration due to reforestation has diminished the impact of
climate changes on increasing annual runoff. Second quadrant
illustrated decrease in evapotranspiration due to deforestation has
reinforced the impact of climate changes on increasing annual
runoff. Third quadrant represents the decrease in evapotranspiration
due to deforestation has diminished the impact of climate changes on
decreasing annual runoff. Fourth quadrant explained increase in
evapotranspiration due to reforestation has reinforced the impact of
climate changes on decreasing annual runoff.</p>
      <p>Annual runoff dynamic in the North River and West River were strongly
reinforced by land use changes over the past 53 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">year</mml:mi></mml:math></inline-formula> as most
of the points were scattered on the II and IV quadrant (Fig. 4). This
means deforestation contributed positively to increasing annual river
runoff, while reforestation led to  the decrease in runoff. The results of
<inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram were supported by quantitative estimation of the
relative impact of land-use changes on annual runoff dynamic between
dry year and wet year over the past five period observations (Fig. 5).</p>
      <p>As shown in Fig. 5, changes in runoff were mainly driven by changes in
climatic variability and land-use changes reinforced the impact of
climate changes on runoff dynamic. Unexpected result was observed in
the 1960s and 1970s where increase in runoff was influenced by
land-use changes. Land runoff contributed about 12–85 % of the
total runoff increase during 1967–1970 and 1971–1975. It was largely
expected due to the China Cultural Revolution which occurred during
1967–1976. Devastation of forest area in Fujian Province was induced
by this big political event. Forest Department lost their power to
control the unsupervised cutting of timber trees (illegal logging)
(Primack, 1988).</p>
      <p>River runoff is sensitive to the land-use changes in
a watershed. Deforestation strongly stimulated the increasing trend of
runoff during 1980s to early 2000s. It contributed about 41–183 %
of the total runoff increase. Decrease in forest area as well as the
expansion of agricultural land was occurred in JRW during 1986–1996
(Fig. 2) which was following the national agricultural policy (Huang
et al., 2012). Deforestation might accelerate the surface flow either
by lowering water infiltration to the soil or by reducing the storage
capacity (Critchley and Siegert, 1991). Deep-rooted plants
(i.e. trees) generally have larger storage capacity than
shallow-rooted plants (i.e. crops) (Zhang et al., 2001). The root
system as well as organic matter in the soil also increases the soil
porosity thus allowing more water to infiltrate.</p>
      <p>Vegetation loss and increase on impervious area has consistently
produced extra runoff from 2004 to 2006. Built-up area has been
expanded exponentially over the past thirty years in Jiulong River
Watershed. Even though it account for less than 5 % of the total
area of catchment, however this increase in impervious area might
diminish evapotranspiration as well as storage capacity in
a watershed, as the excess precipitation will generate overflow
runoff. There was also decrease in forest area during 2002–2007, but
the forest was converted into agricultural land rather than built up
area (Zhou et al., 2014). Although the changes on land-use pattern
were relatively small and in fact watershed was still dominated by
natural landscape, however urban sprawl may potentially affect the
river runoff. This study confirmed our understanding that vegetation
loss may potentially bring the negative impact on the watershed by
increasing the river runoff which is related to flooding hazard.</p>
      <p>In opposite, reforestation played an important role on shrinking of
river runoff. Just after the chaos of the Cultural Revolution in 1976,
Forest Department reasserted its control over forest management
through implementing the planting trees policy vigorously. Outcome of
this policy was quite successful as the highest percentage of natural
area in Jiulong River Watershed was observed in 1986. This increase in
forest area was associated to the decrease in river runoff during
1975–1980 in the North River and West River. Loss of runoff due to
reforestation was about 21–51 % of the total runoff loss. Since
1996 the agricultural land has been shrunk constantly, coincidence
with the increased in forest area in 2002. Farmers were likely to
start planting the woody plant and fruit trees rather than paddy
because they might earn more benefit (Lin and Ho, 2005; Ni et al.,
2003; Ye and Huang, 2009). Changes in vegetation type from crops into
forest area led to increase in evapotranspiration  contributing to
the large decrease in runoff during 2001–2004.</p>
      <p>Although decreasing trend of runoff was similar to that in
precipitation, however river runoff was declined sharper. Shortage in
runoff due to reforetation  accounted for 72–82 % of the total
runoff loss in a catchment. Reforestation would lead to large and
spatially extensive decreases of long-term average runoff (Trabucco
et al., 2008) by increasing the evapotranspiration (Zhang et al.,
2001). Dense vegetations also tend to retard the water flow in
a catchment (Critchley and Siegert, 1991).</p>
      <p>Although the specific impact of land use changes on river runoff
dynamic has been clearly investigated, but we need to always keep in
mind that the major driver of the runoff dynamic is climatic
variability. Sharp decrease on annual rainfall will lead to the
decrease in annual runoff. Similarly, the increase in annual rainfall
may generate more runoff. Non-climatic factor only trigger the impacts
from climate changes on river runoff. We found that river runoff is
responsive to the changes in watershed area. As the anthropogenic
disturbances tend to increase in the future due to rapid economic
development and population growth, thus the demand on land, water, and
food may also be escalated. Based on the past 53-<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">year</mml:mi></mml:math></inline-formula>
observations, the runoff and precipitation showed the fluctuation
trend such as an oscillation. Appropriate strategy to mitigate the risk
of flooding and drought should be concerned seriously in a developing
coastal watershed especially in the smaller catchment such as in the
West River during the extreme hydrological years.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusion</title>
      <p>Analyzing the temporal trend of annual runoff relative to annual
climatic variability was one of the great interests related to the
impact of climate changes on freshwater system. In the case study of
Jiulong River Watershed, river runoff was strongly controlled by
climatic variability through precipitation and
evapotranspiration. However, this study discovered that land changes
reinforced the impact of climate changes on annual runoff
dynamic. Deforestation played significant role in generating overflow
runoff in a watershed during heavy precipitation. In contrast,
reforestation enabled watershed to store more water in a catchment
during dry years. This study inferred that severe drought and flood in
the future cannot be fully addressed as an impact of climate changes,
but it might also be related to the intensified anthropogenic
disturbances within the catchment, such as urban sprawl in coastal
cities.</p>
</sec>

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

      <p>A. Ervinia designed the concept of the paper, developed
the model of <inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram, performed data analysis, and prepared the
manuscript. Z. Zhang contributed in data acquisition including data of
hydro-climatic parameters and land-use pattern in the watershed. J. Huang
provided the intellectual input and constructive comments on the development
of model as well as revised the paper.</p>
  </notes><ack><title>Acknowledgements</title><p>This study was supported by the Natural National Science Foundation of
China (Grant No. 41471154) and the National Science and Technology
Support Program (Grant No.2013BAC06B01). The authors extend their
thanks to Hydrological Bureau of Fujian Province on providing the
daily discharge data. We would like to express our gratitude to all
the anonymous reviewers that supplied constructive feedback.</p></ack><ref-list>
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  </ref-list><app-group content-type="float"><app><title/>

      <fig id="App1.Ch1.F1"><caption><p>Study area of Jiulong River Watershed.</p></caption>
      <?xmltex \igopts{width=256.074803pt}?><graphic xlink:href="https://hess.copernicus.org/preprints/12/6305/2015/hessd-12-6305-2015-f01.jpg"/>

    </fig>

      <fig id="App1.Ch1.F2"><caption><p>Land use pattern in Jiulong River Wathershed during 1986–2010. Data of land use pattern were obtained from Huang et al. (2012) and Zhou et al. (2014).</p></caption>
      <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/preprints/12/6305/2015/hessd-12-6305-2015-f02.png"/>

    </fig>

      <fig id="App1.Ch1.F3"><caption><p>Observed annual runoff (mm) and annual precipitation (mm); hydro-climatic model in North River <bold>(a)</bold> and West River <bold>(b)</bold> over the past five periods (1 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1960s; 2 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1970s; 3 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1980s; 4 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1990s; and 5 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2000s).</p></caption>
      <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/preprints/12/6305/2015/hessd-12-6305-2015-f03.png"/>

    </fig>

      <fig id="App1.Ch1.F4"><caption><p><inline-formula><mml:math display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> diagram to identify the specific impact of land-use changes on runoff dynamic in North River <bold>(a)</bold> and West River <bold>(b)</bold>.</p></caption>
      <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://hess.copernicus.org/preprints/12/6305/2015/hessd-12-6305-2015-f04.png"/>

    </fig>

      <fig id="App1.Ch1.F5"><caption><p>Runoff changes in North River and West River between dry year and wet year in the five periods. Downward trend (1a <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1961–1967; 2a <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1975–1980; 3a <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1983–1987; 5a-1 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2001–2004; 5a-2 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2006–2009) and upward trend (1b <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1967–1970; 2b <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1971–1975; 3b-1 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1981–1983; 3b-2 <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1987–1990; 4b <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1993–1998; 5b <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2004–2006).</p></caption>
      <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/preprints/12/6305/2015/hessd-12-6305-2015-f05.png"/>

    </fig>

    </app></app-group></back>
    </article>
