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  <front>
    <journal-meta><journal-id journal-id-type="publisher">NHESS</journal-id><journal-title-group>
    <journal-title>Natural Hazards and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1684-9981</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/nhess-19-237-2019</article-id><title-group><article-title>Delimitation of flood areas based on a calibrated a DEM <?xmltex \hack{\break}?> and geoprocessing: case study on the Uruguay River, <?xmltex \hack{\break}?> Itaqui, southern Brazil</article-title><alt-title>Delimitation of flood areas based on a calibrated DEM and geoprocessing: Uruguay River</alt-title>
      </title-group><?xmltex \runningtitle{Delimitation of flood areas based on a calibrated DEM and geoprocessing: Uruguay River}?><?xmltex \runningauthor{P.~V.~N.~Ara\'{u}jo et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Araújo</surname><given-names>Paulo Victor N.</given-names></name>
          <email>paulo.araujo@ifrn.edu.br</email>
        <ext-link>https://orcid.org/0000-0002-0625-0946</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Amaro</surname><given-names>Venerando E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Silva</surname><given-names>Robert M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Lopes</surname><given-names>Alexandre B.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Postgraduate Program in Geodynamics and Geophysics (PPGG), Federal University of Rio Grande do Norte, P.O. Box 1524, Natal-RN, 59078-970, Brazil</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Federal Institute of Education, Science and Technology of Rio Grande do Norte, Macau-RN, 59500-000, Brazil</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratory of Geotechnologies, Coastal and Ocean Modelling (GNOMO), Department of Civil Engineering, Federal University of Rio Grande do Norte, Natal-RN, 59078-970, Brazil</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Federal University of Pampa, Itaqui-RS, 96650-000, Brazil</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Center of Sea Studies, Federal University of Parana, P.O. Box 61, Curitiba-PR, 83225-976, Brazil</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Paulo Victor N. Araújo (paulo.araujo@ifrn.edu.br)</corresp></author-notes><pub-date><day>25</day><month>January</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>1</issue>
      <fpage>237</fpage><lpage>250</lpage>
      <history>
        <date date-type="received"><day>14</day><month>July</month><year>2018</year></date>
           <date date-type="rev-request"><day>15</day><month>August</month><year>2018</year></date>
           <date date-type="accepted"><day>2</day><month>January</month><year>2019</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019.html">This article is available from https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019.pdf</self-uri>
      <abstract>
    <p id="d1e136">Flooding is a natural disaster which affects thousands of riverside, coastal,
and urban communities causing severe damage. River flood mapping is the
process of determining inundation extents and depth by comparing historical
river water levels with ground surface elevation references. This paper aims
to map flood hazard areas under the influence of the Uruguay River, Itaqui (southern Brazil), using a calibration digital elevation model (DEM),
historic river level data and geoprocessing techniques. The temporal series
of maximum annual level records of the Uruguay River, for the years 1942 to 2017,
were linked to the Brazilian Geodetic System using geometric leveling and
submitted for descriptive statistical analysis and probability. The DEM was
calibrated with ground control points (GCPs) of high vertical accuracy based
on post-processed high-precision Global Navigation Satellite System surveys. Using the temporal series
statistical analysis results, the spatialization of flood hazard classes on
the calibrated DEM was assessed and validated. Finally, the modeling of the simulated flood level was visually compared against the flood area on the satellite
image, which were both registered on the same date. The free DEM calibration
model indicated high correspondence with GCPs (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). The
calibrated DEM showed a 68.15 % improvement in vertical accuracy
(RMSE <inline-formula><mml:math id="M3" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.00 m). Five classes of flood hazards were determined:
extremely high flood hazard, high flood hazard, moderate flood hazard, low
flood hazard, and non-floodable. The flood episodes, with a return time of
100 years, were modeled with a 57.24 m altimetric level. Altimetric levels
above 51.66 m have a high potential of causing damage, mainly affecting properties
and public facilities in the city's northern and western peripheries. Assessment of the areas that can potentially be flooded can help to reduce
the negative impact of flood events by supporting the process of land use
planning in areas exposed to flood hazard.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e180">Flooding, as a major natural disaster, affects many parts of the world
including developed countries, and has severe impacts on populations and
causes socioeconomic damage. Due to this kind of natural disaster, billions of dollars in
infrastructure and property damage, as well as hundreds of human lives, are lost
each year (Demir and Kisi, 2016; Elnazer et al., 2017). It is understood
that flood risks and hazards will not subside in the future and, with the
onset of climate change, flood intensity and frequency will threaten many
regions of the world (IPCC, 2014).</p>
      <?pagebreak page238?><p id="d1e183"><?xmltex \hack{\newpage}?>These hazards can be prevented and reduced by providing reliable information
to the public about the flood hazard through flood inundation maps
(Alaghmand et al., 2010; Demir and Kisi, 2016). This information can, for example,
assist urban management or even help the rescue operations during these
events (Cook and Merwade, 2009), thus helping the communities directly to
avoid or mitigate such future losses and damage (Arrighi et al., 2013;
Savage et al., 2014; Speckhann et al., 2017).</p>
      <p id="d1e187">Flood hazard maps therefore need to be created as they provide a basis for
the development of flood risk management plans. These plans need to be
effectively communicated to various target groups, including decision
makers, emergency response units and the public, as a measure to reduce
flood risk by integrating different interests, and potential conflicts over
space and land use in a city (Ouma and Tateishi, 2014). However, creating
flood maps is a complex process which is affected by the input data, flow
design, and consistent topographic information (APFM, 2013). A major aid in
the construction of flood maps is use of geoprocessing (Chen et al., 2009;
Sarhadi et al., 2012; Demir and Kisi, 2016; Ovando et al., 2016; Liu and
Yamazaki, 2018). Geoprocessing is a set of techniques based on the study of
spatially distributed information in order to describe the characteristics
of the phenomenon under investigation in the whole area of interest (Costa
and Lourenço, 2011). The construction process of flood maps requires an
understanding of flow dynamics over the floodplain, topographic
relationships and sound judgments of the modeler (Noman et al., 2001;
Sinnakaudan et al., 2003; Sanders, 2007; Alagmand et al., 2010; Sarhadi et
al., 2012). Frequently, applications for flood hazard mapping found in the
literature are based on low-resolution models, mainly using free digital
elevation models, which are not vertically calibrated to a local geodetic
reference system (Komi et al., 2017; Patel et al., 2017; Speckhann et al.,
2017; Dhiman et al., 2019).</p>
      <p id="d1e190">Thus, special attention is required for topographic data because a robust
flood model needs high vertical accuracy linked to a geodetic reference
system, since in many cases, flood-prone areas are found in marginal regions
of low-slope floodplain and may embrace large areas, such as this case study
(Uruguay River basin, Itaqui) (Gupta, 2009; Mistry, 2009). The modeling
of a flood hazard map is linked to the local geodetic reference system,
corroborated with the identification and monitoring of flood situations, and
construction of realistic predictive scenarios (operational level) for risk
management and adaptation (governmental agencies, such as the local civil
defense) (Joshi et al., 2012; Gallien et al., 2018; Jongman, 2018). It is
extremely important to do the calibration of the digital elevation model (DEM)
using high-accuracy ground control point (GCP) data, aimed at improving the
vertical accuracy, and applied to regional or local studies about floods
(Araújo et al., 2018). Therefore, this study aims to conduct a robust
mapping of flood hazard delimitation areas influenced by the Uruguay River,
using the case study of Itaqui in the state of Rio Grande do Sul, southern
Brazil, through a calibration of DEM from Shuttle Radar Topography Mission (SRTM) images, historical
fluviometric level data collected at Itaqui station, and geoprocessing techniques.</p>
</sec>
<sec id="Ch1.S2">
  <title>Study area</title>
      <p id="d1e199">The Uruguay River basin is one of the most important hydrographic basins of
Brazil; it is located in the south of the country and extends throughout the
neighboring countries of Argentina and Uruguay. Therefore, this basin marks
the division between the Brazilian states of Rio Grande do Sul and Santa
Catarina, and also between Brazil and Argentina. The Uruguay River basin occupies a
total extension area of 385 000 km<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, where approximately 274 300 km<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
is located in Brazil, corresponding to 3 % of national
territory. This hydrographic region has a prominent economic sector, mainly
focused on the improvement of agricultural and industrial activities. The Uruguay
River hydrographic region has great hydroelectric potential with a total
production capacity of 40.5 kW km<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, and when considering
both Brazilian and Argentinian sides, one of the biggest energy per
square kilometer relations in the world (ANA, 2015).</p>
      <p id="d1e229">The Uruguay River basin area has a temperate climate, with a regular
intra-annual rainfall distribution, and some highs during May to
September, coinciding with the winter season in the Southern Hemisphere. The
natural hydric availability of the Uruguay hydrographic basin is largely
influenced by the significant spatial and temporal variables of a few climatic
parameters, such as the pluviometric regime, which reflects directly on the
economic activities developed in the region, which are largely in the agricultural
sector (BID, 2008). Many areas were deforested due to the growth of
agro-industrial activities in the region, which led to an environmental
imbalance, from river siltation to water pollution with pesticides and their
residues. Therefore, this region shows the original and remaining native
vegetation cover of the Brazilian Atlantic forest biome and Araucaria moist
forest biome. Geomorphology is dominated by rugged relief in the upper
Uruguay River basin, followed by a flatter patch in the gaucho campaign
region with shallow soil, which is the reason why the Uruguay River flows through a rocky
substrate. This characteristic implies a flow regime that follows the
rainfall trend: when periods of intense precipitation occur, they cause
floods in riverside areas and, in the same way, when periods of drought
occur, the flow regime is abruptly reduced, sometimes even to guarantee the
hydric requirements of human and socioeconomic activities. In Brazil, the
Uruguay hydrographic region is composed of 11 hydrographic sub-basins:
(1) Apuae–Inhandava, (2) Passo Fundo, (3) Turvo–Santa Rosa–Santo Cristo,
(4) Piratinim, (5) Ibicui, (6) Quarai, (7) Santa Maria, (8) Negro, (9) Ijui,
(10) Varzea and (11) Butui–Icamaqua (ANA, 2015).</p>
      <?pagebreak page239?><p id="d1e232"><?xmltex \hack{\newpage}?>The study area comprises the urban area of Itaqui and is located on the
banks of the Uruguay River on the western border of the state of Rio Grande do
Sul, southern Brazil (Fig. 1). It corresponds to Ibicui sub-basin, the
largest sub-basin of the Uruguay River, which has the Uruguay River and also the Cambai
and Sanga das Olarias streams as its main water bodies. The study area has a
territorial area of 34 066.06 km<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and an estimated population of
39 049 inhabitants according to the Brazilian official 2016 Census by the National
Institute of Geography and Statistics (IBGE, in Portuguese). This area
plays an important role in regional but also national economic scope due
to rice cultivation, as well as Hereford and Braford bovine breeding,
and commercial pig breeding for slaughter. These economic activities
influence the region's environmental quality because they are directly related
to the land use, occupation of the area, and increases in water consumption
(Bariani and Bariani, 2013).</p>
      <p id="d1e245">Itaqui was settled on the edge of the Uruguay
River. Currently, this riverside location is occupied by communities,
some of very low economic class, that depend on the river for their
livelihoods. These dwellers are often displaced to higher regions to move
away from the constant flood. Itaqui survives under the same conditions as most
Brazilian small cities, with a lack of resources and of specialized
professionals that can act in the projection and the orderly
urban development. This fact is reflected in the lack of studies and
information that aid the aim of urban management to minimize negative
impacts on society.</p>
      <p id="d1e249">This undue occupation causes various problems that have a direct impact on
society, including floods within the urban area. One of the
reasons is the disorderly urban sprawl without adequate infrastructure,
along with the non-observance of the natural characteristics of the occupied
environment that, as a consequence, means that it is impossible for areas near rivers
and creeks to absorb floods (Silva et al., 2017). It is important to highlight
that, in addition to the lack of financial resources to be invested in the
municipality, there the almost constant expense of the damages caused by
the increase in river level. Most riverside families live in so-called
“volantes houses” (Fig. 2); these are wooden houses and can be
transported from one place to another. But in some extreme events such as
the one that occurred in 2017, some families lost all of their belongings
and in some cases even their homes, leaving it to the local government to help
with the expenses of these communities (Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e254">Location of the study area. Highlighted are the ground control points
of high vertical accuracy from the High Accuracy Altimeter Network (in Portuguese,
Rede Altimétrica de Alta Precisão – RAAP) of the Brazilian
Institute of Geography and Statistics (IBGE) and from the Federal University of Pampa (UNIPAMPA).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>Previous studies of flooding in Itaqui</title>
      <p id="d1e269">The flooding process of the Uruguay River in Itaqui is a natural phenomenon
that has afflicted the riverside population for decades. It is practically
intrinsic to the city's history. However, even though it is a relevant
problem to the local population, only after 2011 were papers published
emphasizing the local hazards and risks of this natural phenomenon. Among the
published papers, we emphasize Saueressig (2012), Saueressig and Robaina (2015),
Silva et al. (2017), and Silva (2017). All of these are results of
Masters dissertations in postgraduate programs in Brazil.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e274">“Volantes houses” being transferred in periods of flooding in Itaqui.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f02.jpg"/>

      </fig>

      <p id="d1e283">Saueressig (2012) emphasized a zoning of flood risk areas of the urban
marginal area of the Municipality of Itaqui. The author organized an
inventory of floods that happened between 1980 and 2010, and focused on a
socio-environmental discussion, developing models with a few consistent
criteria in relation to altimetry.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e289">The Brazilian Army helping local residents during flooding events in
Itaqui (adapted from: EB, 2017).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f03.jpg"/>

      </fig>

      <p id="d1e298">Silva (2017) concentrated on the usage of geodetic methods to elaborate a
DEM of integrated elevation with hydrologic data for monitoring affected
areas lined by the Uruguay River. However, Silva (2017) focused his efforts on
the marginal urban areas of Itaqui.</p>
      <p id="d1e301">Thus, this work intends to fill an information gap, covering the entire
urban area of the city, with the hazard in focus, priming a methodological
application that uses high-accuracy altimetric data to model
flood hazard maps. Furthermore, a statistical analysis
using a temporal series of maximum annual level records of Uruguay River data was developed,
which will provide innovative information about the return period of the
flood phenomenon in study region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e306">Flowchart of the proposed approach for the delimitation of flood hazard mapping.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f04.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <title>Material and methods</title>
      <?pagebreak page241?><p id="d1e321">The temporal series of annual maximum fluviometric records of the Uruguay River,
from 1942 to 2017 (76 years of data), linked to Brazilian Geodetic System
(Sistema Geodésico Brasileiro – SGB) and using geometric leveling, was submitted for statistical analysis.
Then, calibration of a digital elevation model (DEM), obtained free of
charge from the Shuttle Radar Topography Mission (SRTM), was conducted using
ground control points (GCPs) of high vertical accuracy. The results of the
temporal series statistical analysis served as the basis for the
spatialization of floods on the calibrated DEM. Finally, a visual comparison
between a modeled flood and a digitally processed image from the flood area satellite image was
performed, both having been registered concomitantly on the same day in study
region.</p>
      <p id="d1e324">In summary, the flood simulation model is based on the fill of the DEM,
calibrated at river level orthometric heights, and linked to a common
geodetic reference system. The workflow of the proposed methodology is shown in Fig. 4.</p>
<sec id="Ch1.S4.SS1">
  <title>Statistical analysis of Uruguay River fluviometric level records</title>
      <p id="d1e332">Data from all annual maximums of fluviometric levels (m) of the Uruguay River
were assembled in the river level monitoring station with the codename “ITAQUI” no. 75900000 (latitude: <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>07<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>39<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>; longitude:
<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>33<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>45<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>), for 76 years of historical information
(between 1942 and 2017). All annual maximum level records were linked to the
Brazilian Geodetic System (Sistema Geodésico Brasileiro – SGB) with their respective orthometric
heights. These data were obtained through the Monitoring and Alerts of
Disasters System of Rio Grande do Sul (Sistema de Monitoramento e Alerta de Desastres – SMAD), using their website
<uri>http://www.smad.rs.gov.br/</uri> (last access: 25 May 2018). The SMAD is a project
implemented by the Environment and Sustainable Development Secretariat of
Rio Grande do Sul, which is used by the civil defense and other
competent organizations for monitoring and disaster warnings. Also, it is
used for environmental management and monitoring of natural resources.</p>
      <p id="d1e417">In statistical analysis, first the variability of attributes and the
characterization of the probability distribution were verified, based on the
data descriptive analysis of the annual maximum orthometric heights of the Uruguay
River. This analysis sought to obtain information about the central
tendency, dispersion, and separatrix (quartile and percentile). Furthermore,
the return period of maximum altimetric quotas for 2, 4, 10, 20, and 100 years
were obtained. The return period (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), also known as recurrence
interval or recurrence time, was employed as the time which a specific
hydrological event can be matched or exceeded in any given year (McCuen,
1998). In the present study, the return period (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), in years, was defined
by the following equation, where <inline-formula><mml:math id="M18" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> is the probability that a hydrological
event be matched or exceeded (Tanguy et al., 2017), Eq. (1):

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M19" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>p</mml:mi></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Then, the Mann–Kendall sequential test (Mann, 1945; Kendall, 1975) was
applied to evaluate the temporal serial behavior of annual maximum
orthometric height data of the Uruguay River. The Mann–Kendall test is a robust,
sequential, and non-parametric statistical method used to determine if a
specific data series has a temporal tendency towards statistically significant
changes. Among its advantages, it does not require normal distribution of
data and is only slightly influenced by abrupt changes or non-homogenous
series (Zhang et al., 2009). In recent years, with growing concerns over
environmental degradation and about the implications of greenhouse gases on
the environment, researchers and practitioners have frequently applied the
non-parametric Mann–Kendall test to detect trends in recorded hydrologic time
series such as water quality, streamflow, and precipitation time series (Yue
and Wang, 2004). Although it has no influence on the flood hazard mapping,
the Mann–Kendall test was applied to investigate if the elevation of the
Uruguay River is showing any upward or downward trend.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page242?><sec id="Ch1.S4.SS2">
  <title>Delimitation of flood hazards areas</title>
<sec id="Ch1.S4.SS2.SSS1">
  <title>Digital elevation model (DEM) calibration</title>
      <p id="d1e484">A digital elevation model (DEM) is a set of digital data describing elevation
values of Earth ground surface (or any other surface) which contains
additional information about the character of this surface and interpolation
algorithm, which is best for approximation (modeling) of the real
topography (Szypuła, 2017). A DEM is a complete representation of a land
surface, which means that heights are available at each point in the area of
interest (Hengl and Evans, 2009). In this study, the SRTM DEM was taken as the
topographic model. However, it was submitted to the calibration
process for adjustment to the local reference geodetic system. The DEM
calibration is a mandatory pre-processing adoption that provides
improvement of both DEM vertical accuracy and linking to the geodetic system
(Araújo et al., 2018). This study adopted the SRTM calibration method
suggested by Araújo et al. (2018). These authors used control points of
high vertical accuracy linked to the Brazilian Geodetic System (in
Portuguese Sistema Geodésico Brasileiro – SGB) for calibrating the DEMs.</p>
      <p id="d1e487">The GCPs were considered as the orthometric altimetry points acquired from high-accuracy geodesy. A grid with 700 GCPs was constructed using data from two
databases (Fig. 1): (i) 3 points from the High Accuracy Altimeter Network
(Rede Altimétrica de Alta Precisão – RAAP) of the Brazilian
Institute of Geography and Statistics (IBGE); and
(ii) 697 points with orthometric heights linked to SGB through relative GNSS
leveling, called UNIPAMPA points.</p>
      <p id="d1e490">The RAAP–IBGE was created using the high-accuracy geometric leveling
technique, allowing the determination of geodetic stations with an altitude
value that was referenced with the mean sea level (MSL) in Imbituba-SC. These stations
are known as level references (Referencias de Niveis – RRNN) and were set up throughout
Brazil along highways and railways at around 3 km intervals, in
the first survey, and nowadays at around 2 km intervals. Currently, the Brazilian
network has approximately 68 000 RRNN available at the Geodetic Database
(Banco de Dados Geodesicos – BDG), which can be accessed at the
Brazilian Open Data website (Portal Brasileiro de Dados Abertos – PBDA),
through the following link: <uri>http://dados.gov.br/dataset/cged_bdg_rn</uri>
(last access: 5 May 2018). For this study, three points from RAAP that were inside the
study area and in a good conservation state were used.</p>
      <p id="d1e496">The database with 697 control points from the Federal University of Pampa (UNIPAMPA)
was acquired with GNSS receivers on the field through a
high-accuracy post-processed kinematic (PPK) mode and linked to SGB (Silva
et al., 2017). These high-accuracy control points had a mean
altimetric error of <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.006</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0007</mml:mn></mml:mrow></mml:math></inline-formula> m.</p>
      <p id="d1e512">All 700 control points were standardized to the horizontal datum SIRGAS2000,
the Universal Transverse Mercator coordinate system (UTM, Zone: 21J/Southern
Hemisphere), and the MAPGEO2010 geodetic model. Lastly, the orthometric height
values were exported in a shapefile format with the ArcMap 10.1 software
(ESRI, 2011).</p>
      <p id="d1e515">The DEM used in this study was obtained through a SRTM image with a spatial
resolution of 1 arcsec (approximately 30 m at the Equator), 16 bit
radiometric resolution, a geographic coordinate system, WGS1984 horizontal
datum, and a EGM96 vertical datum (Earth Gravitational Model, 1996). These data
were acquired at the Earth Data servers (NASA), using the interface
developed by Derek Watkins (<uri>http://dwtkns.com/srtm30m/</uri>, last access: 10 March 2018). The advantage of
this interface is the availability of SRTM scenes with excellent void
correction processes, which are empty spaces where no elevation value can be
determined. These voids cause significant problems for using the DEM from
SRTM images, especially on hydrological modeling applications that require
continuous flow surfaces. The “S30W057” scene was downloaded and the
orthometric height values of pixels were extracted from the control point
grid and exported in table form for statistical analysis purposes.</p>
      <p id="d1e521">To evaluate and calibrate the DEM of the study area, a matrix was
constructed with the orthometric height values of control points and the SRTM
image. This dataset was subjected to linear regression analysis, with ground
control point values as a dependent variable and SRTM data as an independent
variable, which is a common procedure found in the literature for DEM calibration
(e.g., Gorokhovich and Voustianiouk, 2006; Forkuor and Maathuis, 2012).
Then, the DEM obtained from the SRTM image was calibrated using the model
proposed by the linear regression. Subsequently, both DEMs (the original and
calibrated) were subjected to descriptive statistical analysis and
comparison between the mean of orthometric height variation (<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>) and
the root mean square error (RMSE) value, as proposed by Araújo et al. (2018).
In all statistical analyses, a significance value of 5 % (Zar,
2010) was adopted and they were performed on R software v.3.4.1 (R Development Core Team, 2017).</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <title>Determining classes of flood hazard map</title>
      <p id="d1e540">To determine the classes of flood hazard mapping, a descriptive analysis of
the orthometric height temporal series (annual maximum fluvial levels
records) of the Uruguay River was performed (minimum, maximum, quartile, and
percentile). The determination of the classes was closely linked to the
probability of occurrence of the annual maximum fluvial height of the Uruguay River.
At this stage, five classes of flood hazard were determined, as described in Table 1.</p>
      <p id="d1e543">Through map algebra, using the previously calibrated DEM, all classes were
mapped in a geographic information system (GIS) environment using ArcMap 10.1 software (ESRI, 2011).</p>
      <?pagebreak page243?><p id="d1e546"><?xmltex \hack{\newpage}?>In a few areas there was topographic discontinuity. When these altimetric
class discontinuities occurred, the sector in focus was considered to be in the
upper elevation altimetric class.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p id="d1e553">Classes of flood hazard for mapping.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Classes</oasis:entry>
         <oasis:entry colname="col2">Altimetric river quota</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">used as indicator</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Extremely high flood hazard</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M22" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> Median</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">High flood hazard</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M23" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> Median and third quartile</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Moderate flood hazard</oasis:entry>
         <oasis:entry colname="col2">third quartile and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Low flood hazard</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M26" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> maximum quota</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Non-floodable</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M27" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> Maximum quota</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <title>Evaluation of the mapping of flood hazard areas</title>
      <p id="d1e683">At this stage, the flood area for the 12 June 2017 was estimated using the
flood model established in the previous stage. This date was picked because
it was the annual maximum level day of the Uruguay River for the year 2017 in
the Itaqui city area. In addition, it coincided with the CBERS-4
(China–Brazil Earth Resources Satellite) satellite multispectral imagery for
the region. Among the coupled instruments in CBERS-4, the Multispectral
Regular (MUX) sensor stands out, covering four spectral bands between 450 and
890 nm, with a scanning range of 120 km, and nominal spatial resolution of
20 m at nadir (Boggione et al., 2014). These data were acquired freely from
the National Institute of Space Research (Instituto Nacional de Pesquisas
Espaciais – INPE) by accessing their website
(<uri>http://www.inpe.br/</uri>, last access: 30 May 2018). The multispectral bands were subjected to a
radiometric and atmospheric correction (Jensen, 2009). A hybrid color
composite RGBI-765NDWI, based on a red–green–blue intensity color system, was
generated in order to identify the flood area, using ERMAPPER v7.1 software
(ERDAS, 2008). The normalized difference water index (NDWI) was elaborated
using the following algorithm proposed by McFeeters (1996), Eq. (2):

                  <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M28" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">NDWI</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">green</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">NIR</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">green</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">NIR</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">green</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to the reflectance of the green band
(CBERS-4 band 6; 520–590 m); and <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">NIR</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to the
reflectance of the infrared band (CBERS-4 band 8; 770–890 m) of sensor CBERS-4 MUX.</p>
      <p id="d1e753">Finally, a visual comparison of the modeled flood area vs. identified
flood area on satellite image was performed.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p id="d1e759">Results of Mann–Kendall test.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2" align="center">Summary </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Kendall's tau statistic</oasis:entry>
         <oasis:entry colname="col2">0.167<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Two-sided <inline-formula><mml:math id="M34" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value</oasis:entry>
         <oasis:entry colname="col2">0.03351<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kendall score (<inline-formula><mml:math id="M36" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">475</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Denominator (<inline-formula><mml:math id="M37" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">2848.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Variance of Kendall score</oasis:entry>
         <oasis:entry colname="col2">49 713.67</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e762"><inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Positive trend and <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> significant upward trend.</p></table-wrap-foot></table-wrap>

</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Results and discussion</title>
      <p id="d1e894">In this work the use of geoprocessing techniques was extremely important to
reach the results. We use the following techniques:
<?xmltex \hack{\newpage}?>
<list list-type="bullet"><list-item>
      <p id="d1e901">Geographic information system (GIS) was the technique most used
throughout the work. All data were used to implement a robust GIS.</p></list-item><list-item>
      <p id="d1e905">Digital cartography was used during the elaboration of the maps.</p></list-item><list-item>
      <p id="d1e909">Digital image processing (DIP) was the technique applied to improve the
visualization of the historical flooding from the CBERS-4 MUX satellite
images.</p></list-item><list-item>
      <p id="d1e913">Precision geodesy was used during the calculation of the points of land
controls and the linkage of the river level to the Brazilian Geodetic System.</p></list-item><list-item>
      <p id="d1e917">Geostatistical techniques were used during the evaluation and calibration of the
digital elevation model.</p></list-item></list>
The results achieved in this study are systematically presented and discussed below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e923">Annual fluviometric maximum level records of the Uruguay River in Itaqui.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f05.png"/>

      </fig>

<sec id="Ch1.S5.SS1">
  <title>Analysis of the maximum annual fluviometric level of the Uruguay River</title>
      <p id="d1e937">The annual maximum level records of the Uruguay River for the last 76 years
have an amplitude of 9.78 m, with a maximum of 57.23 m and a minimum of 47.76 m.
Furthermore, the values of mean and median were 51.97 and 51.56 m,
respectively (Fig. 5). For these data, the <inline-formula><mml:math id="M38" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value associated with the
Mann–Kendall test is statistically significant, suggesting the presence of a
statistically significant upward trend in the annual maximum level records of
the Uruguay River (positive tau statistic <inline-formula><mml:math id="M39" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.167; two-sided <inline-formula><mml:math id="M40" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M41" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03351),
as shown in Table 2. Furthermore, it is essential to mention that, during the
last 3 years, two occurrences of a flood altimetric quota for a return period
of 20 years were observed (2014 and 2017). The return period values for 2, 4, 10, 20, and 100 years
are presented on Table 3.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><caption><p id="d1e971">Probability of the fluviometric level being matched or exceeded.
<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: flood return period.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Probability</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Altimetric</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M44" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(years)</oasis:entry>
         <oasis:entry colname="col3">river</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">quota</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0.5</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">51.66</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.25</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">53.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.1</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">54.58</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.05</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">55.92</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.01</oasis:entry>
         <oasis:entry colname="col2">100</oasis:entry>
         <oasis:entry colname="col3">57.24</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1122">According to research found in the literature, the Uruguay basin presented a
positive trend in precipitation and streamflow during the late twentieth century
(Pasquini and Depetris, 2007; Barros et al., 2008; Abreu et al., 2018).
Abreu et al. (2018) concluded that anthropogenic climate change has increased the
risk of the extreme rainfall in this catchment by at least 2 times, with a
median increase of about 5 times. It is<?pagebreak page244?> important to emphasize that the Uruguay
River has large flow variation, from the occurrence of great floods, which
affect riverside populations, to lack of water for human consumption and other
necessities. The catchment of Uruguay basin has a fast-hydrologic response in
which flood occurrence is more dependent on meteorology than on initial
conditions of soil moisture and flow (Tucci et al., 2003). Physical characteristics
of the Uruguay River basin, such as the strong slope of the drained terrain,
river channel morphology, and the soil, in conjunction with low water retention
and deforestation of the main river and tributary banks for the extraction of
wood and/or agricultural use, assist in the surface drainage after intense
rains, flooding, erosion, and silting of river beds (BID, 2008).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e1128">Linear regression analysis of SRTM image vs. ground control points (GCPs).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS2">
  <title>Delimitation of flood hazard areas</title>
      <p id="d1e1143">Using the 700 GCPs, it was possible to evaluate and calibrate the DEM from
the
SRTM image. The linear regression analysis showed strong correlation between
the ground control points and the SRTM altimetry data, generating a highly
robust model with <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> (Figs. 6
and 7). The SRTM calibration and correction model based on control points
was determined as <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.7031</mml:mn><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">13.913</mml:mn></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e1193">Digital elevation model (DEM): <bold>(a)</bold> SRTM original;
<bold>(b)</bold> SRTM calibrated.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f07.jpg"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><caption><p id="d1e1211">Indicators of DEM errors in relation to GCPs.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">DEM</oasis:entry>
         <oasis:entry colname="col2">Mean of</oasis:entry>
         <oasis:entry colname="col3">RMSE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula> (m)</oasis:entry>
         <oasis:entry colname="col3">(m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">SRTM<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">Original</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.84</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">3.14</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SRTM<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">Calibrated</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.00</oasis:entry>
         <oasis:entry colname="col3">1.00</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1312"><?xmltex \hack{\newpage}?>Comparing the error evaluators, it was already expected that the calibrated
SRTM mean of the orthometric height variation (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>) would be zero
(Table 4). According to Araújo et al. (2018) this happens due to the DEM
plan being perfectly adjusted to the GCP network plan after calibration, linking
the MDE calibration to the Brazilian Geodetic System (SGB). In relation to
the RMSE of the original SRTM (non-calibrated SRTM), a RMSE of 3.14m was
found from comparison to the GCPs. This accuracy is approximately 2 times
greater than what was reported in the original SRTM specifications (6.20 m
for South America). Araújo et al. (2018) found a similar value (3.10 m)
when evaluating the DEM from SRTM at regional-scale analysis for the
Piranhas–Açu River basin, in northeastern Brazil. When calibrating the SRTM,
an extreme improvement of the RMSE was verified, where the adjusted value of
1.<?pagebreak page245?>00 m was found. In this way, a 68.15 % decrease of RMSE value for the
calibrated SRTM compared to the non-calibrated SRTM was found (Table 4).</p>
      <p id="d1e1326">Assuming that the calibrated SRTM is linked to the SGB, it was possible to
apply the five flood hazard classes to the altimetric model, as shown in Table 5.
After the spatialization of the classes it was possible to observe the
flood behavior in the study area (Fig. 8).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5"><caption><p id="d1e1332">Classes of flood hazard mapping in Itaqui, southern Brazil.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Class</oasis:entry>
         <oasis:entry colname="col2">Altimetric river</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">quota used as</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">indicator</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Extremely high flood hazard</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">51.66</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">High flood hazard</oasis:entry>
         <oasis:entry colname="col2">51.66<inline-formula><mml:math id="M54" display="inline"><mml:mo>|</mml:mo></mml:math></inline-formula>–53.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Moderate flood hazard</oasis:entry>
         <oasis:entry colname="col2">53.45<inline-formula><mml:math id="M55" display="inline"><mml:mo>|</mml:mo></mml:math></inline-formula>–55.92</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Low flood hazard</oasis:entry>
         <oasis:entry colname="col2">55.92<inline-formula><mml:math id="M56" display="inline"><mml:mo>|</mml:mo></mml:math></inline-formula>–57.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Non-floodable</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">57.24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1457">Mapping results of the flood hazard classes helped to identify areas with
greatest potential for damage to the population in the study area. In
general, there was a river gradient upstream from the urban city center,
mainly around the north and west neighborhood outskirts of the urban area,
with greater emphasis on the Cerrinho Dois Umbus, Centro, Ponte Seca,
Varzea, Enio Sayo, and Capelinha neighborhoods (Fig. 8).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p id="d1e1462">Flood hazard map of Itaqui, Rio Grande do Sul,
southern Brazil. Neighborhoods: (a) Cerrinho Dois Umbus; (b) Centro; (c) Ponte
Seca; (d) Varzea; (e) Cidade Alta; (f) Cohab; (g) Enio Sayago; (h) Estacao;
(i) Capelinha; (j) Dr. Ayub; (k) Jose da Luz; (l) Vinte e Quatro de Maio;
(m) Chacara; (n) Cafifas; (o) Vila Nova; and (p) Uniao.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e1474">The worst historical flooding of the Uruguay River basin (July 1983)
has been used here as a base for a simulated flood event in Itaqui. Neighborhoods: (a) Cerrinho Dois
Umbus; (b) Centro; (c) Ponte Seca; (d) Várzea; (e) Cidade Alta; (f) Cohab;
(g) Enio Sayago; (h) Estacao; (i) Capelinha; (j) Dr. Ayub; (k) Jose da Luz;
(l) Vinte e Quatro de Maio; (m) Chacara; (n) Cafifas; (o) Vila Nova; and
(p) Uniao. Photographic records: <bold>(I)</bold>  the courtyard of the prison of Itaqui (Flores and Flores, 1983; Saueressig e Robaina, 2015);
<bold>(II)</bold>  the neighborhood of Vinte e Quatro de Maio (Boeira, 1983; Saueressig, 2012).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f09.jpg"/>

        </fig>

      <p id="d1e1489">The methodological approach and resulting flood hazard map highlighted flood-prone
areas throughout the municipality of Itaqui that have the potential
of being exposed to flooding events, inflicting suffering on the population and
substantial material damage. Figure 9 illustrated the boundaries of the
Uruguay River flooded area for a 100-year return period
(<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> years),
obtained from the proposed model, also indicating flood-prone areas. This
return period shows the same flood pattern that occurred in July 1983 when
Itaqui suffered its worst historical flood (altimetric level <inline-formula><mml:math id="M59" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 57.24 m).
According to Saueressig and Robaina (2015), the water level<?pagebreak page246?> reached the
Marechal Deodoro Square, the courtyard of the Itaqui prison (Fig. 9),
and most of the neighborhoods bordered by the Olaria stream.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e1516">The 2017 historical flooding of the Uruguay River basin: (a) CBERS-4 MUX
satellite image showing the extent of the floods in the Itaqui city area on
12 June 2017 (hybrid color composition: RGBI-765NDWI); and (b) simulated flood
event in Itaqui for the same satellite imaging date. Neighborhoods:
(a) Cerrinho Dois Umbus; (b) Centro; (c) Ponte Seca; (d) Varzea; (e) Cidade
Alta; (f) Cohab; (g) Enio Sayago; (h) Estacao; (i) Capelinha; (j) Dr. Ayub;
(k) Jose da Luz; (l) Vinte e Quatro de Maio; (m) Chacara; (n) Cafifas; (o) Vila
Nova; and (p) Uniao. Photographic records: <bold>(I)</bold>  the Federal Revenue Customs
Building; <bold>(II)</bold> Osvaldo Aranha street (Silva, 2017); <bold>(III)</bold> Borges
do Canto street (Silva, 2017).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/19/237/2019/nhess-19-237-2019-f10.jpg"/>

        </fig>

      <p id="d1e1534">Geoprocessing techniques were successfully used to visualize the extent
of flooding and also to produce a significant improvement in
forecasting flood hazard maps, but can be also employed to establish a decision-based support
system through a partnership between scientists, territorial planners, and policy
makers (Wiles and Levine, 2002; Sole et al., 2007; Korah and López,
2015; Demir and Kisi, 2016; Sahoo and Sreeja, 2017). The hybrid color
composite RGBI-765NDWI also highlighted suspended sediment in the water column
of the Uruguay River and its tributaries. The result is a scene with
intrinsic differences in water color with regard to water quality and
it therefore benefits from precise demarcation between the inundated and relatively dry
areas, i.e., “flooded” and “non-floodable” classes, respectively. Comparison
between the flood simulation model for the 12 June 2017 annual maximum level
record and the CBERS-4 MUX satellite image for the same date showed that
similar spatial behavior was verified in both flooded areas (Fig. 10). A
similitude is prominent between the result of the flood modeling and the real
flooded area based only on visual analysis (Fig. 10a and b, respectively).</p>
      <p id="d1e1537">Mukolwe (2016) emphasized that supporting strategies for flood hazard
mitigation, or even a sufficient understanding of the application of their
spatial distribution, is a relevant enterprise for assisting government
management and risk planning. In practice, the methodological strategy and
the resulting models presented in this study can be used for the operational
real-time phase of flood monitoring during seasonal flood events in the
Uruguay River basin. Such a methodological approach based on control by
the local civil defense will allow residents to be evacuated from the
areas that will be affected. Thus, the communities who reside in “volantes
houses” can be moved to places further from the flood hazard area, and
those who reside in masonry houses can be removed and sheltered, in addition
to reducing damage costs by minimizing losses of belongings.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e1547">A large part of the city of Itaqui is in floodplain area of the Uruguay
River, as are many of the riverside cities of the study area (Saueressig, 2012).
The floods in these regions are intimately linked to the rise of the river
level. Therefore, in the case under study, the river level altimetry is the
main driver of the flood hazard.</p>
      <p id="d1e1550">Flood hazard maps are crucial for planning and intervention in flood-prone
areas. The results of the Itaqui case study can mainly be applied to
characterizing hazards and supporting the implementation of flood risk management
plans and flood risk maps for river basins and coastal areas, thus improving
the overall availability of such risk management tools. An equivalent methodological
approach could be helpful, for instance, in preparing urban charts to
identify<?pagebreak page247?> areas more suitable to occupation in the municipality. In cases
where the areas are already occupied, like in some locations of the Itaqui city
center, the result could be useful for defining and implementing the
necessary measures that address potentially damaging events.</p>
      <p id="d1e1553">In Brazil, only a few studies involve mapping to assess potential flood
damage. Spatial details of the hazard indicators are a valuable tool for
flood risk management since the map provides a more direct and fast
assessment than other methods. The methodology and materials applied to
Itaqui proved effective in identifying flood hazard areas using
free DEM from SRTM images that were calibrated based on a post-processed high-precision
GNSS database, historic river level gauge data, and geoprocessing techniques,
as basic information.</p>
      <p id="d1e1556">It is worth mentioning that the methodological approach applied to the
Itaqui is adequate to be replicated to other municipalities, in
particular those of riparian and coastal communities. The flood hazard
mapping methodology could be particularly useful for regions with a good
historic time series of fluviometric level gauge data. In general, the
most limiting factors to be considered for adopting these methodological
approaches are currently the availability of high-accuracy altimetry points, the
GCPs, for calibrating the free DEM from the SRTM scene in regions impacted by a
series of flood events. Such a procedure involves a large amount of time,
both for the collection of local GCP data and also for post-processing data
treatment. However, depending on the geographic location, IBGE level
references (RRNN) can be used as GCPs.</p>
      <p id="d1e1560">This flood hazard mapping in digital format can be used as a database to
assist governmental stakeholders, e.g., civil defense, in partnership with other
sectors of civil society for implementation of flood risk management plans
that are more adaptable to local restrictive environmental constraints. Thus,
composing these plans can be more flexible,<?pagebreak page248?> easily modifiable, and updatable in
accordance with the distinguishing physiographic and socioeconomic setting
of the river basin.</p>
      <p id="d1e1563">In this distinct case study, the scenario modeling for the 1983 and 2017
flooding events were compared with a real flood of 12 June 2017
and high visual similarity was established between them. The study
area generally covers residential areas. Considering the results of this case study, it is crucial to advise the Itaqui
policy makers and politicians that a planned public policy should be
implemented to relocate part of the urban population that occupy areas of
high flood hazard. However, the removal process of inhabitants to other areas without hazard, or even less
risk, is complex and requires a multidisciplinary strategy. It is already
known that the population will suffer historical, social, and cultural
impacts that will make the planning more difficult to be entirely applied.
Therefore, it is necessary that people have decent housing, with adequate
infrastructure and basic sanitation, reducing their exposure and
vulnerability to risk adversity. Furthermore, it is necessary for
communities to understand the importance of these changes, not only for the
population's health but also for the Itaqui economy and sustainability.</p>
      <p id="d1e1566">This paper also demonstrates that well-applied technical measures based on
geotechnologies, such as remote sensing, GIS, and high-accuracy geodesy, give
results in return that can be very effective in urban and rural management
with low-cost investments, highlighting the unique features of a given locality,
especially floodplains and flat low-lying areas. This methodological
approach is very effective for mitigating flooding damage in coastal and
riparian areas. It can be valuable in reducing strategic monitoring costs and
the operational expenses of providing assistance to population
affected by severe flooding events and their consequences.</p>
</sec>

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

      <p id="d1e1573">All data included in this study are available upon request
by contacting the corresponding author.</p>
  </notes><notes notes-type="authorcontribution">

      <p id="d1e1579">PVNA, ABL and VEA designed the study; ABL and RMS conducted
the acquisition of geodetic data; PVNA and VEA conducted the analysis and wrote
the paper; all authors reviewed this paper.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e1585">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement">

      <p id="d1e1591">This article is part of the special issue “Flood risk assessment
and management”. It is a result of the EGU General Assembly 2018, Vienna,
Austria, 8–13 April 2018.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1597">The authors express special thanks to the Secretary of Environment and
Sustainable Development of Rio Grande do Sul for providing river level
gauge data. We also thank the reviewers of the <italic>Natural Hazards and Earth System Sciences (NHESS)</italic> journal for their many insightful comments. <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Dhruvesh Patel <?xmltex \hack{\newline}?>
Reviewed by: Caterina Samela and one anonymous referee</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Delimitation of flood areas based on a calibrated a DEM  and geoprocessing: case study on the Uruguay River,  Itaqui, southern Brazil</article-title-html>
<abstract-html><p>Flooding is a natural disaster which affects thousands of riverside, coastal,
and urban communities causing severe damage. River flood mapping is the
process of determining inundation extents and depth by comparing historical
river water levels with ground surface elevation references. This paper aims
to map flood hazard areas under the influence of the Uruguay River, Itaqui (southern Brazil), using a calibration digital elevation model (DEM),
historic river level data and geoprocessing techniques. The temporal series
of maximum annual level records of the Uruguay River, for the years 1942 to 2017,
were linked to the Brazilian Geodetic System using geometric leveling and
submitted for descriptive statistical analysis and probability. The DEM was
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on post-processed high-precision Global Navigation Satellite System surveys. Using the temporal series
statistical analysis results, the spatialization of flood hazard classes on
the calibrated DEM was assessed and validated. Finally, the modeling of the simulated flood level was visually compared against the flood area on the satellite
image, which were both registered on the same date. The free DEM calibration
model indicated high correspondence with GCPs (<i>R</i><sup>2</sup> = 0.81; <i>p</i> &lt; 0.001). The
calibrated DEM showed a 68.15&thinsp;% improvement in vertical accuracy
(RMSE&thinsp; = &thinsp;1.00&thinsp;m). Five classes of flood hazards were determined:
extremely high flood hazard, high flood hazard, moderate flood hazard, low
flood hazard, and non-floodable. The flood episodes, with a return time of
100 years, were modeled with a 57.24&thinsp;m altimetric level. Altimetric levels
above 51.66&thinsp;m have a high potential of causing damage, mainly affecting properties
and public facilities in the city's northern and western peripheries. Assessment of the areas that can potentially be flooded can help to reduce
the negative impact of flood events by supporting the process of land use
planning in areas exposed to flood hazard.</p></abstract-html>
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