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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-22-1699-2022</article-id><title-group><article-title>Enhancing disaster risk resilience using greenspace in <?xmltex \hack{\break}?>urbanising Quito, Ecuador</article-title><alt-title>Enhancing disaster risk resilience using greenspace</alt-title>
      </title-group><?xmltex \runningtitle{Enhancing disaster risk resilience using greenspace}?><?xmltex \runningauthor{C. S. Watson et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Watson</surname><given-names>C. Scott</given-names></name>
          <email>c.s.watson@leeds.ac.uk</email>
        <ext-link>https://orcid.org/0000-0003-2656-961X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Elliott</surname><given-names>John R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ebmeier</surname><given-names>Susanna K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Vásquez</surname><given-names>María Antonieta</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zapata</surname><given-names>Camilo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Bonilla-Bedoya</surname><given-names>Santiago</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Cubillo</surname><given-names>Paulina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Orbe</surname><given-names>Diego Francisco</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Córdova</surname><given-names>Marco</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Menoscal</surname><given-names>Jonathan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sevilla</surname><given-names>Elisa</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>COMET, School of Earth and Environment, University of Leeds, Leeds,
LS2 9JT, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Social Sciences and Humanities, Universidad San Francisco de Quito, Quito 170901, Ecuador</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Research Center for the Territory and Sustainable Habitat, Universidad Tecnológica Indoamérica, <?xmltex \hack{\break}?>Machala y Sabanilla, 170301, Quito, Ecuador</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Centro de Información Urbana de Quito - CIUQ, Quito, Ecuador</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Facultad Latinoamericana de Ciencias Sociales, FLACSO, Quito,
Ecuador</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">C. Scott Watson (c.s.watson@leeds.ac.uk)</corresp></author-notes><pub-date><day>20</day><month>May</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>5</issue>
      <fpage>1699</fpage><lpage>1721</lpage>
      <history>
        <date date-type="received"><day>21</day><month>January</month><year>2022</year></date>
           <date date-type="rev-request"><day>25</day><month>January</month><year>2022</year></date>
           <date date-type="rev-recd"><day>3</day><month>April</month><year>2022</year></date>
           <date date-type="accepted"><day>1</day><month>May</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 C. Scott Watson et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022.html">This article is available from https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e204">Greenspaces within broader ecosystem-based disaster risk reduction
(Eco-DRR) strategies provide multiple benefits to society, biodiversity, and
addressing climate breakdown. In this study, we investigated urban growth,
its intersection with hazards, and the availability of greenspace for
disaster risk reduction (DRR) in the city of Quito, Ecuador, which
experiences multiple hazards including landslides, floods, volcanoes, and
earthquakes. We used satellite data to quantify urban sprawl and developed a
workflow incorporating high-resolution digital elevation models (DEMs) to
identify potential greenspaces for emergency refuge accommodation (DRR
greenspace), for example, following an earthquake. Quito's historical urban
growth totalled <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 192 km<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for 1986–2020 and was primarily on
flatter land, in some cases crossed by steep ravines. By contrast, future
projections indicate an increasing intersection between easterly
urbanisation and steep areas of high landslide susceptibility. Therefore, a
timely opportunity exists for future risk-informed planning. Our workflow
identified 18.6 km<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of DRR greenspaces, of which 16.3 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>
intersected with potential sources of landslide and flood hazards,
indicating that hazard events could impact potential “safe spaces”. These
spaces could mitigate future risk if designated as greenspaces and left
undeveloped. DRR greenspace overlapped 7 % (2.5 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>) with
municipality-designated greenspace. Similarly, 10 % (1.7 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>) of
municipality-designated “safe space” for use following an earthquake was
classified as potentially DRR suitable in our analysis. For emergency
refuge, currently designated greenspaces could accommodate <inline-formula><mml:math id="M7" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 %–14 % (depending on space requirements) of Quito's population within 800 m. This increases to 8 %–40 % considering all the potential DRR greenspace
mapped in this study. Therefore, a gap exists between the provision of DRR
and designated greenspace. Within Quito, we found a disparity between access
to greenspaces across socio-economic groups, with lower income groups having
less access and further to travel to designated greenspaces. Notably, the
accessibility of greenspaces was high overall with 98 % (2.3 million) of
Quito's population within 800 m of a designated greenspace, of which 88 %
(2.1 million) had access to potential DRR greenspaces. Our workflow
demonstrates a citywide evaluation of DRR greenspace potential and provides
the foundation upon which to evaluate these spaces with local stakeholders.
Promoting equitable access to greenspaces, communicating their multiple
benefits, and considering their use to restrict propagating development into
hazardous areas are key themes that emerge for further investigation.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e278">Urbanising and increasing populations are a global trend that create a range
of societal and environmental challenges including food and water security
(Godfray et al., 2010; Hoekstra et al., 2018), air pollution (Fenger, 1999; Escobedo and Nowak, 2009; Zalakeviciute et al., 2018), disease (Marmot et al., 2008), loss of biodiversity (McDonald et al., 2020), climate change (De Sherbinin et al., 2007; Flörke et al., 2018), and exposure to disaster risk (Pelling
et al., 2004). Approximately 68 % of the world's population are projected
to live in urban areas by 2050, many of which are yet to be developed, and
the rate of urbanisation is greatest for developing countries (UN
DESA, 2019). The development of informal settlements takes place outside of
regulatory frameworks such as land-use planning or building design codes
(UN-Habitat, 2003; Oliver-Smith et al., 2016). Therefore,
urbanisation often occurs within or creates hazardous areas, which
exacerbates the socio-economic inequalities of disaster risk due to
overcrowding, unsafe housing, and lack of infrastructure and services
(Baker, 2012; Cardona et al., 2012). Reducing disaster risk
and losses is the aim of the global Sendai Framework for Disaster Risk
Reduction 2015–2030 (UNISDR, 2015) and is integral to achieving the
UN sustainable development goals (SDGs). Specifically, goal 11 to “make
cities and human settlements inclusive, safe, resilient and sustainable”
targets reducing deaths and socio-economic impacts associated with disasters
with a focus on the most vulnerable (UN General Assembly, 2015).
Successful risk reduction in “tomorrow's cities” requires people-centred
decision making to support a transition from disaster response to
risk-informed planning (Galasso et al., 2021). Additionally,
nature-based solutions (NbS) involving greenspace in cities are increasingly
recognised within a framework of ecosystem-based disaster risk reduction
(Eco-DRR) (Estrella and Saalismaa, 2013; Faivre et al., 2018; UNDRR,
2020) and can be designed and monitored using an increasing number of earth
observation (EO) technologies (Kumar et al., 2021). EO data are widely
used for land cover classifications to quantify historical trends in urban
expansion and to model future urbanisation projections (Schneider and
Woodcock, 2008; Bonilla-Bedoya et al., 2020b). Both high-resolution
(<inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 1 m, commercial) (Myint et al., 2011; Georganos et al., 2018)
and medium-resolution (10–30 m, open-access) (e.g. Landsat and Sentinel-2)
optical satellite imagery are used for land cover and greenspace mapping
(Fuller et al., 1994; Labib and Harris, 2018; Deng et al., 2019).</p>
      <p id="d1e288">There are multiple definitions of greenspace; however, they generally
include reference to public parks, gardens, open space, wetlands, street
verges, woodland, and sports grounds (Taylor and Hochuli, 2017).
Greenspace is associated with multiple impacts on urban and natural systems
(Fig. 1a), including improving mental and physical health (James et al.,
2015; WHO Regional Office for Europe, 2016; Marselle et al., 2020;
Bauwelinck et al., 2021), conserving natural ecosystems and biodiversity
(Aronson et al., 2017; McDonald et al., 2020), creating economic
opportunities (McPherson, 1992), building community
resilience to hazards (Colding and Barthel, 2013), including
reducing landslide risk (Phillips and Marden, 2005; Sandholz et al.,
2018) and urban flooding (Maragno et al., 2018), and providing
safe spaces in the event of a disaster (Shrestha et al., 2018; Sphere
Association, 2018; Shimpo et al., 2019; Jeong et al., 2021). However,
greenspace planning in urban environments is often recreation-focused
(Boulton et al., 2018). Therefore, it is important to recognise
the provision of multi-benefit greenspaces within an Eco-DRR framework, as well as
the diverse accessibility, ownership, and management of such spaces
(Colding and Barthel, 2013). Similarly, the creation and
designation of greenspace requires consideration of social justice issues,
such as the impact on property values (Wolch et al., 2014;
García-Lamarca et al., 2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e293"><bold>(a)</bold> Example impacts of urban greenspace on hazards, health,
ecosystems, and infrastructure. <bold>(b–c)</bold> An area of greenspace, “Tundikhel”
(lat 27.702<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, long 85.315<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), in Kathmandu, Nepal,
which was used for temporary tented accommodation following the Gorkha
earthquake (25 April 2015). <bold>(d–e)</bold> Tents in Plaza Santo Domingo and Plaza
Mayor (Plaza Grande) in Quito after the 1868 Ibarra earthquake.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f01.jpg"/>

      </fig>

      <p id="d1e329">Green cities, which incorporate diverse greenspace, green infrastructure,
and interconnected social and ecological networks, provide opportunities to
enhance disaster resilience and deliver multiple benefits for sustainable
development and nature conservation (Benedict and MacMahon, 2002; Tidball
and Krasny, 2012). These elements may be designed and integrated into
planning policy (Jeong et al., 2021) or emerge following crises,
such as loss of food security prompting the proliferation of urban gardening
(Altieri et al., 1999; Gonzalez, 2003; Colding and Barthel, 2013).
Similarly, following disaster events such as earthquakes, open spaces are
used for emergency refuge (Allan et al., 2013; Borland, 2020). The latter
point was the case following the 2015 Gorkha earthquake in Nepal, where
greenspaces were used for temporary accommodation away from collapsed and
damaged buildings (Fig. 1b–c). Temporary government camps housed over 30 000
people in the Kathmandu Valley, and over 1000 smaller shelter sites housed
thousands more (Khazai et al., 2015). Greenspace was also prioritised in
Tokyo following the 1923 Great Kantō Earthquake, in which parks originally
designed to provide space for children were later valued as emergency
refuges (Borland, 2020). Innovative greenspace design elements may
also emerge following disaster events, such as integrating water bodies and
pumps, edible plant species, and multi-purpose (e.g. seating, dining, and
cooking) communal seating areas into greenspace areas (Bryant and
Allan, 2013).</p>
      <p id="d1e332">Historically, green space in Quito was defined by the rural–urban
relationship. Until the end of the 19th century, green spaces were the
<italic>ejidos</italic>, sites for agriculture and livestock, which were located on the
outskirts of the city. The urbanisation model did not contemplate green
spaces in its design, and natural spaces such as the ravines were mostly
filled in (Aragundi et al., 2016). This is important because parks
and plazas have been repeatedly used as refuge sites after earthquakes in
Quito. For example, during the 1859 Quito earthquake and 1868 Ibarra
earthquake, refugee tents were set up in the main plazas and parks of the city
(e.g. Fig. 1d, e). During the 20th Century, the use of these greenspaces
and open spaces like plazas as refuge after earthquakes was recognised
through the creation of official “safe spaces” (see Sect. 4.3)
(Metro Ecuador, 2019).</p>
      <p id="d1e338">Quito has a population of over 2 million (2020), having doubled in just
three decades from 1 million in the late 1980s and which is projected to
exceed 3.4 million by 2040 (DMQ, 2018). The expansion of formal and
informal settlements into hazardous areas increases disaster risk from
events including landslides, flooding, volcanic eruptions, and earthquakes.
Increased disaster risk is due to both increased exposure to natural hazards
and the social vulnerability of the exposed communities (e.g.
Valcárcel et al., 2017). Therefore, in this study we assessed the
potential of greenspace for reducing disaster risk in contemporary Quito
and for guiding the development of more resilient communities in future
urban areas. Specifically, we (1) quantified Quito's recent historical
urban expansion using satellite-based optical imagery and evaluated
potential future urbanisation scenarios using land classification metrics,
(2) investigated the intersection between the built environment and natural
hazards, and (3) evaluated the potential role of urban greenspace for
reducing disaster risk in Quito by providing “safe spaces”. In this study,
we analyse a style of greenspace relevant to disaster risk reduction that is
quantifiable using optical satellite data. Specifically, we focus on low-gradient open spaces that are vegetated. We do not consider specific
greenspace amenities such as recreation facilities or accessibility
restrictions, which cannot be determined using satellite data alone.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study region</title>
      <p id="d1e349">Quito is situated in the central region of Ecuador, just south of the
Equator in the Inter-Andean Valley of South America at over 2800 m a.s.l.
and is bounded by Pichincha Volcano (4794 m) to the west and steep
topography to the east (Fig. 2). Topography and factors such as the
inter-tropical convergence zone and the South Atlantic convergence zone
determine Quito's climate (Hastenrath, 1997; Vincenti et al., 2012;
Zambrano-Barragán et al., 2011). Quito's precipitation distribution has
two modalities, March–April and October–December, with an average annual
precipitation of 1200 mm and an average annual temperature of
13.4 <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Vincenti et al., 2012; Zambrano-Barragán et al.,
2011). In recent decades, Quito's urban extent has spread many kilometres to
the north, east, and south (Bonilla-Bedoya et al., 2020b; Salazar et al.,
2020). Westward expansion is limited, although not absent, due to the
designated protected areas on the slopes of Pichincha volcano, which were
implemented following urban encroachment and the occurrence of landslides and
floods (Vidal et al., 2015; DMQ, 2018). Urban expansion is changing
Quito's exposure to natural hazards including landslides, floods, volcanic
activity, and earthquakes (Chatelain et al., 1999; Hall et al., 2008;
Carmin and Anguelovski, 2009; Valcárcel et al., 2017). Quito's urban
area now exceeds the current Metropolitan District of Quito (DMQ)
administrative boundary (Bonilla-Bedoya et al., 2020a; Salazar et al.,
2021). Therefore, in this study, we define two separate areas of interest
(AOIs): (1) a “land cover AOI” for mapping land cover change, which
encompasses the core urban area of Quito, and (2) a “city AOI” for mapping
greenspace, which includes the administrative level 3 parishes of Quito,
Cumbaya, Llano Chico, Calderon (Carapungo), Conocoto, Zambiza, and Nayón
(Figs. 2a, S1 in the Supplement).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e363"><bold>(a)</bold> The location of Quito, Ecuador, in relation to regional seismic
faults and volcanoes. Fault lines (red) are from the Geophysical Institute
of the National Polytechnic School (IG-EPN) and Global Earthquake Model
Global Active Faults (Styron, 2019). <bold>(b)</bold> Urban change and
population of Quito are mapped using Open Government data (<uri>https://datosabiertos.gob.ec/</uri>, last access: 16 May 2022). <bold>(c)</bold> Volcanic hazards from the
IG-EPN et al. (2019) Pichincha Volcano hazard map. <bold>(d)</bold> Landslide
susceptibility map (Stanley and Kirschbaum, 2017) and observed landslide
events (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1321</mml:mn></mml:mrow></mml:math></inline-formula>) (2006–2017) (<uri>https://datosabiertos.gob.ec/</uri>, last access: 16 May 2022). <bold>(e)</bold> Observed hydrometeorological
(<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1574</mml:mn></mml:mrow></mml:math></inline-formula>) and forest fire events (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2358</mml:mn></mml:mrow></mml:math></inline-formula>) (2006–2017) (<uri>https://datosabiertos.gob.ec/</uri>, last access: 16 May 2022).</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f02.png"/>

      </fig>

      <p id="d1e432">Quito is surrounded by active faults (Fig. 2a), and the Global Earthquake
Model estimates (Pagani et al., 2018) at the
regional scale indicate a relatively high seismic hazard with a peak ground
acceleration (PGA) of 0.55–0.9 g (with a 10 % probability of exceedance
in 50 years) (Fig. S1). Similarly, Beauval (2018) estimate a PGA of
<inline-formula><mml:math id="M15" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.4–0.6 g for Quito in a return period of 475 years. The
Quito Fault System creates seismic hazard across the city, with a maximum
earthquake size estimated at <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> 6.6 and a recurrence time of
<inline-formula><mml:math id="M17" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 150–435 years (Alvarado et al., 2014). Earthquake scenario damage models show that the highest rates of
potential building damage are associated with the areas of highest social
vulnerability (Valcárcel et al., 2017). Volcanic eruptions also pose
significant risk to large populations. Quito lies 12 km from the active
volcano Guagua Pichincha, where activity over the past decades has been
characterised by small explosions, ash, and gas emission (Loughlin et
al., 2015). Past eruptions have covered Quito in ash; for example, the 1660
eruption ash deposits are <inline-formula><mml:math id="M18" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 cm thick in central Quito
(Robin et al., 2008). Recent pyroclastic flows and surges have
been channelled by topography away from Quito to the west, but potential
volcanic hazards in Quito include secondary lahars and ashfall, which
are mapped using knowledge of historic eruptions (IG-EPN, 2019)
(Fig. 2c). Quito's road network and water supply are also all vulnerable
to flows and especially ash from multiple volcanoes (Wilson et al., 2012;
Loughlin et al., 2015). Landslides and floods are both extensive natural
hazards in Quito owing to the steep topography, intense rainfall, and
filling of natural drainage channels to create building space (DMQ, 2018;
Castelo et al., 2018; Domínguez-Castro et al., 2018; Perrin et al.,
2001). Landslides are concentrated on the steep slopes of Quito's periphery
and ravines (Fig. 2d), whereas flood events are spread across Quito's urban
extent (Fig. 2e). Following heavy rainfall, mudflows are also a hazard on
the lower and increasingly urbanised slopes of Pichincha (Perrin et al., 2001). Multi-hazards or cascading
hazards could also emerge through combinations of single hazards, such as a
volcanic eruption that deposits ash on slopes and blocks urban drains, which
if followed by heavy rain could produce lahars and urban flooding
respectively (Gill et al., 2021).</p>
      <p id="d1e468">In terms of policy and planning, the issue of green space in the city
currently maintains a spatial-functional emphasis, although environmental
(mainly related to climate change) and socio-political (public space, right
to the city) criteria have been incorporated. There was an important change
in the first urban plan of the city (1942), in which the design envisages a
series of green spaces, especially in the north of the city, under a
criterion of recreational and sports spaces. This is the case of the current
La Carolina park, which was initially the city's racecourse. The plan also
considered a series of smaller green spaces within the residential areas.
However, a balanced development between urban sprawl and the environment was
not planned, but rather green and open spaces in general were thought of as
part of the zoning logic of the time. This model of urban development
between the 1970s and 2000s is the main risk factor for disasters in the
city (Carrión and Erazo Espinosa, 2012). In 1993, the Metropolitan
District of Quito (DMQ) was created, with 9.3 % of its territory being
urban and 90.7 % rural. This new territorial configuration is relevant
because both planning and risk analysis tend to concentrate only on the
urbanised area (Peralta Arias and Higueras García, 2016).</p>
      <p id="d1e471">When outlining the vision of Quito to the year 2040, the municipality of the
Metropolitan District of Quito recognised the importance of an urban green
network for delivering social and natural benefits, including risk
mitigation (DMQ, 2018). This recognition of greenspace to reduce risk
from morphoclimatic events has been present in the planning instruments of
the municipality since the 1980s. The destructive mudflows of 1983 on the
slopes of Pichincha that had been previously urbanised by informal
settlements prompted the national government of Ecuador to legislate the
law on “protective forests”. These forests were designed to prevent
erosion, mitigate landslides, and control informal urbanisation on slopes
around Quito. According to Sierra (2009), the role of greenspace in the
borders of the city was first designed to create recreational and patrimonial
landscapes from 1940s onwards and later, in the 1970s and 1980s, to
incorporate environmental, city growth control, and risk mitigation
properties. In the last 30 years, there has been municipal and community
interest in the recovery of ravines for recreational activities and
improving citizens' quality of life by implementing nature-based solutions
alongside urban development; however, its realisation and impact have been
small at the city scale, instead confined to planning-stage pilot projects
such as in the San Enrique de Velasco district in the northwest of Quito
(Salmon et al., 2021).</p>
      <p id="d1e474">The following section details our methodology to quantify Quito's historical
urban growth and investigation of future urban growth scenarios. We
investigate Quito's growth in conjunction with topographical information and
hazard datasets to reveal how Quito's exposure to hazards is changing
through time. We then define a methodology to map greenspace that is
potentially suitable for disaster risk reduction, considering the spatial
distribution in relation to socio-economic data and per person accessibility
if the spaces were used as an emergency refuge. These data are then used to
reveal optimum locations for the designation of new protected greenspaces to
enhance disaster risk resilience in Quito.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methodology</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Urban growth</title>
      <p id="d1e492">Urban growth for the period 1986 to 2020 was derived by applying a land
cover classification workflow to 30 m resolution Landsat satellite imagery
for the land cover AOI (Figs. 2a and 3a), including Landsat 4 Thematic Mapper
(TM), Landsat 7 Enhanced Thematic Mapper Plus (ETM<inline-formula><mml:math id="M19" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>), and Landsat 8
Operational Land Imager (OLI). Landsat imagery was selected June to
September to avoid cloud cover during the wet season
(Domínguez-Castro et al., 2018). Therefore, seasonal
spectral variations in land covers are not captured. Images were
pre-processed using Landsat-based detection of Trends in Disturbance and
Recovery (LandTrendr) and Google Earth Engine to create multi-image mosaics
with minimal cloud cover using a medoid pixel composite (Gorelick et al.,
2017; Kennedy et al., 2018). Training data were manually digitised as 500
polygons (median polygon area of 5400 m<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) with reference to the 1986
image using four classes: (1) urban, (2) woodland, (3) scrub vegetation and
bare ground, and (4) agriculture and grassland. Training data were masked
using the normalised difference vegetation index (NDVI) vegetation loss and
growth masks that are output from LandTrendr to leave areas of training data
that were spectrally consistent through time (1986–2020). Landsat
composites were stacked with elevation and slope layers derived from the 30 m Shuttle Radar Topography Mission (SRTM) digital elevation model (DEM)
(Farr et al., 2007) since these additional variables were shown
to improve land cover classification performance (Zhu et
al., 2016). We used a random forest classification, which is a decision tree
approach popular for land cover classifications owing to their high
accuracy, broad data handling, and low sensitivity to training data noise (Rodriguez-Galiano et al., 2012; Zhu et al., 2016). The Orfeo ToolBox
random forest classifier (Inglada and Christophe, 2009) (Table S1)
was run 50 times for each time period using 200 trees and a random sample of
training data to account for imbalance between classes (Millard and
Richardson, 2015) (Table S1). The modal value was used to produce the final
classification map, which was accuracy assessed using an independent
stratified random sample of 200 reference points in each class created using
high-resolution satellite imagery (Fig. S2). High-resolution multispectral
satellite imagery was not available in the 1980s, which reduces
classification confidence in training and reference data; however, a
panchromatic <inline-formula><mml:math id="M21" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 m resolution aerial orthophoto of Quito in
1977 from the Instituto Geográfico Militar (1977) was used for
reference. The accuracy assessment was used to produce an error-adjusted
area and confidence interval of each land cover classification (e.g.
Olofsson et al., 2013, 2014).</p>
      <p id="d1e518">Future urbanisation scenarios in Quito were assessed with reference to
Bonilla-Bedoya et al. (2020b) and Salazar et al. (2020).
Both studies used predictor variables to model future urbanisation scenarios
in Quito. Salazar et al. (2020) present a scenario to the year
2050, whereas Bonilla-Bedoya et al. (2020b) define an
“urbanisation probability” without a scenario end date. Nonetheless, the
spatial trends in both studies are similar. Predictors used to derive
urbanisation probability included biophysical (e.g. precipitation, slope,
and altitude), land cover and management (e.g. protected areas),
infrastructure and services (e.g. road network), socio-economic (e.g. land
value), and landscape metrics (e.g. landscape patch size and shape)
(Bonilla-Bedoya et al., 2020b). We used “high” (urbanisation probability:
55 %–79 %) and “very high” (urbanisation probability: 79 %–100 %)
classes from Bonilla-Bedoya et al. (2020b) in this study (Fig. S3)
to evaluate future land cover scenarios and the intersection of urban areas
with hazards.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Topography</title>
      <p id="d1e529">The 30 m SRTM DEM was used to extract statistics on the elevation and slope
within the land cover change area of interest (AOI), which encompasses the
smaller city AOI (Fig. 2a). A higher-resolution (2 and 10 m) DEM and
orthoimagery were created for a smaller AOI (Fig. 2a), which bounded the
administrative level 3 parishes of Quito, Cumbaya, Llano Chico, Calderon
(Carapungo), Conocoto, Zambiza, and Nayon. This AOI was covered by tri-stereo
Pleiades imagery, which was acquired on five separate dates (5 November 2019, 28 January 2020, 9 February 2020, 6 June 2020, and 28 July 2020) in both panchromatic (<inline-formula><mml:math id="M22" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.7 m)
and multispectral (<inline-formula><mml:math id="M23" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2.8 m RGB and near-infrared) modes
(Table S2). Tri-stereo acquisitions produce elevation models with lower
uncertainties compared to bi-stereo acquisitions due to greater point cloud
densities afforded by the extra viewing angle (Zhou et al., 2015). All
imagery was delivered with radiometric processing to surface reflectance and
processed using rational polynomial coefficients (RPCs) without ground
control points (GCPs) (e.g. Airbus Defence and Space, 2012; Zhou et al.,
2015). Agisoft Metashape v.1.6.5 was used to process the imagery to create a
digital surface model (DSM), digital terrain model (DTM), and orthorectified imagery. Briefly, (1)
the panchromatic and multispectral imagery was aligned in one bundle to
produce a sparse point cloud; (2) the sparse cloud was filtered to remove
outliers using Metashape's gradual selection tools; and (3) a dense point cloud
was constructed using the panchromatic imagery, which was used to create a 2 m resolution DEM and (4) orthorectify the satellite imagery. Metashape's
ground classification (maximum angle: 15<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; maximum distance: 0.5 m; cell size: 50 m) was applied to the dense cloud and used to create the
DTM. An additional DSM was output at 10 m resolution to reduce data gaps for
deriving a topographic wetness index (TWI) (Sect. 3.3).</p>
      <p id="d1e555">Since the Pleiades DEM was processed without GCPs, we assessed the accuracy
using Ice, Cloud and land Elevation Satellite (ICESAT-2) altimetry data.
ICESAT-2 data have an expected vertical accuracy that is lower than the error
expected from a Pleiades DEM created without ground control points
(<inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 3–5 m) (Passalacqua et al., 2015; Markus et al., 2017) and
were therefore used as an independent validation check. We extracted high
confidence returns from the Advanced Topographic Laser Altimeter System
(ATLAS) instrument ATL03 Global Geolocated Photon Height data acquired from
6 December 2018 to 3 June 2020 that intersected with the
Pleiades data (Neumann et al., 2019, 2020). Photons were
filtered to exclude slopes steeper than 20<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and aggregated into 5 m grid cell mean values. Cells containing <inline-formula><mml:math id="M27" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 2 photons with an elevation
range <inline-formula><mml:math id="M28" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 1 m were carried forward for the validation (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">922</mml:mn></mml:mrow></mml:math></inline-formula>). We
coregistered the Pleiades DEM and gridded ICESAT-2 data following the <inline-formula><mml:math id="M30" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M31" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M32" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>
shift correction of Nuth and Kääb (2011), and the
differences in elevation values were compared. The mean vertical difference
between the ICESAT-2 and Pleiades data was 0.38 m (1 standard deviation:
1.32 m) with a normalised median absolute deviation of 0.84 m.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Hazards</title>
      <p id="d1e633">Information on natural hazards affecting Quito were collated from published
sources and Ecuador's Open Government data. We used a global landslide
susceptibility model that was validated against local and global landslide
inventories, with an emphasis on rainfall-triggered events (Kirschbaum et
al., 2016; Stanley and Kirschbaum, 2017). Landslide susceptibility was
ranked on a scale of 1 (low) to 5 (high), and the model combined data on
slope, faults, geology, forest loss, and road networks, aggregated to
<inline-formula><mml:math id="M33" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 km grid cells (Stanley and Kirschbaum, 2017). Open
Government records of “accidents” 2006–2017 were used to identify the
geographic distribution of mass movement events (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1321</mml:mn></mml:mrow></mml:math></inline-formula>), which were
compared to the global landslide susceptibility model (Fig. S4)
(Ministry of Territory, 2020). We masked
Class 5 (high) of the landslide susceptibility model out of the future
urbanisation scenario of Bonilla-Bedoya et al. (2020b) to create a
restricted scenario of urban growth, which reflects DMQ's vision to remove
high risk areas from future land occupation. We also excluded development on
the slopes of Pichincha volcano (as unrealistically inaccessible given steep
slopes) and included an area of development spanning the metropolitan
district boundary in the south (Fig. S3). We refer to the original scenario
of future urbanisation and the modified scenario as F-U and M-U
respectively. Information on volcanic hazards was obtained from the
Geophysical Institute of the National Polytechnic School (IG-EPN) through
the National Information System (SNI) (SNI, 2020). Spatial variation in
earthquake hazard across Quito was not explored in this study due to the
coarse resolution (<inline-formula><mml:math id="M35" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 km) of available hazard information
(Fig. S1). However, the high regional seismic hazard (Alvarado et al.,
2014; Pagani et al., 2018) motivates our city-wide analysis of greenspace.</p>
      <p id="d1e662">The 10 m Pleiades DEM was hydrologically corrected by breaching sinks
(Lidberg et al., 2017), using the <italic>breach depressions least cost tool</italic> of Whitebox 1.4.0. The breached DEM
was used to derive a TWI, which was intersected with flood events in the
Open Government database (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1274</mml:mn></mml:mrow></mml:math></inline-formula>) to assess whether high TWI values
correspond to greater incidences of flood events and therefore was
indicative of potential flood hazard (Jalayer et al., 2014; Kelleher and
McPhillips, 2020).
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M37" display="block"><mml:mrow><mml:mi mathvariant="normal">TWI</mml:mi><mml:mo>=</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>a</mml:mi><mml:mrow><mml:mi>tan⁡</mml:mi><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M38" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> represents the specific catchment area, and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mi>tan⁡</mml:mi><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula> represents the
local DEM slope. Therefore, the TWI describes the tendency for a cell to
accumulate and evacuate water (Beven and Kirkby, 1979; Manfreda et al.,
2011; Mattivi et al., 2019).</p>
      <p id="d1e721">We assumed a positional uncertainty radius of 20 m in the flood event
records based on the observed positional spread of recorded traffic
collisions at road junctions in the same database (Fig. S5). The maximum TWI
value within a 20 m radius of the recorded point was extracted and compared
to the TWI for a random sample of 10 000 points to test whether there was a
statistically significant difference in the TWI at locations of flood events
(e.g. Kelleher and McPhillips, 2020). Notably, this method does not
account for the subsurface drainage network present in an urban setting and
therefore represents an assumption that this subsurface drainage network is
overwhelmed during the flood event such that all flow passes over the DEM
(Kelleher and McPhillips, 2020).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Greenspace</title>
      <p id="d1e732">Orthorectified multispectral Pleiades imagery was pan-sharpened in ArcGIS
Pro 2.6.0 using the Gram–Schmidt algorithm and Pleiades sensor band weights
to create a four-band (red, green, blue, and near-infrared (NIR)) 0.5 m
resolution multispectral image. Quito's vegetated greenspace distribution
was mapped using the NDVI applied to the NIR and red bands of the
pan-sharpened Pleiades satellite imagery (Fig. 3b).
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M40" display="block"><mml:mrow><mml:mi mathvariant="normal">NDVI</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">NIR</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Red</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">NIR</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Red</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
          Negative NDVI values correspond to areas lacking vegetation, whereas
increasingly positive values represent healthy vegetation (Tucker et al.,
1981; Pettorelli et al., 2005). In some cases, shadowed areas, for example
due to buildings, display similar NDVI values to vegetation (Leblon et
al., 1996; Yamazaki et al., 2009). We therefore used 100 randomly sampled
patches (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m) to evaluate the NDVI classification with
reference to the pan-sharpened Pleiades orthoimage. Incorrect classifications
had a small overall impact, accounting for 0.4 % of the evaluated NDVI
area (Table S3) with a mean patch size of 13 <inline-formula><mml:math id="M42" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 m<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Bright blue
roofs also displayed a high NDVI value and were masked out using a simple
“blueness” index of values <inline-formula><mml:math id="M44" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.2, which was derived through manual
inspection of blue roofs.
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M45" display="block"><mml:mrow><mml:mi mathvariant="normal">Blueness</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Blue</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Red</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Green</mml:mi></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e828">Whilst global coverage and daily observation are possible with the paired
constellation, Pleiades imagery is not routinely acquired nor open access.
Therefore, we also compared Pleiades NDVI values with those from an open-access Sentinel-2 image acquired on 6 February 2020 with the aim of
testing their consistency, noting that whilst the spectral bands overlap,
the bandwidth of Pleiades is greater (Pleiades: red 590–710 nm, NIR
740–940 nm; Sentinel-2: red 649–680 nm, NIR 780–886 nm).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e833"><bold>(a)</bold> Land cover classification and accuracy assessment workflow.
<bold>(b)</bold> Classification of greenspace that could potentially contribute to
disaster risk reduction (DRR), herein “DRR greenspace”.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f03.png"/>

        </fig>

<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>Disaster risk reduction (DRR) greenspace</title>
      <p id="d1e855">Greenspaces potentially suitable for providing safe spaces and contributing
towards disaster risk reduction were identified using an EO-based workflow
(Fig. 3b) for areas within 800 m (accessible within a <inline-formula><mml:math id="M46" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 min walk) (e.g. Dou and Zhan, 2011; Jeong et al., 2021) of
populations in Quito's urban extent. The workflow identified greenspace (1)
that is vegetated, (2) greater than 10 m from a road to exclude road verges,
(3) with slope <inline-formula><mml:math id="M47" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 4<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to provide a suitable gradient for “safe
spaces” (Kılcı et al., 2015; Liu et al., 2011), and (4) with a local
height (<inline-formula><mml:math id="M49" display="inline"><mml:mo lspace="0mm">≤</mml:mo></mml:math></inline-formula> 2 m) to identify open ground and exclude raised vegetation
such as trees. Expansion and contraction buffers of 10 m were applied to
connect adjacent patches of greenspace into greenspace “zones”, which for
example could represent multiple patches of classified greenspace within a
park. All areas of greenspace with a patch size <inline-formula><mml:math id="M50" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 100 m<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> within
these zones were summed, and zones totalling <inline-formula><mml:math id="M52" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 2000 m<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of greenspace
were classified as “potential DRR greenspace”. Space requirements in a
disaster situation are dynamic; however, a 100 m<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> patch size is
recommended to accommodate two people with communal space (cooking, access,
facilities, etc.) in a camp-style settlement following guidelines in the
Sphere Humanitarian Charter and Minimum Standards in Humanitarian Response
Handbook (Anhorn and Khazai, 2015; Sphere Association,
2018). Zones of 2000 m<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> approximate one quarter to one third of a
professional football pitch and so could be expected to already exist as
functional greenspaces (e.g. recreation parks) in an urban environment.
These spaces were evaluated alongside a list of safe spaces designated by
DMQ for use in an earthquake event (Metro Ecuador, 2019) (Table S4), in conjunction with population data projected to 2019 and socio-economic
classification data (Instituto Geográfico Militar, 2019). These
socio-economic classifications characterise a continuum of education, income,
and lifestyle factors into five classes, ranging from “high” to “low”, in which
“low” represents basic education and limited household facilities such as
rubbish collection and plumbing, whereas “high” represents higher education
and houses or apartments that are provisioned with state services
(Instituto Geográfico Militar, 2019).</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Greenspace capacity</title>
      <p id="d1e947">Quito's 2019 population data (Instituto Geográfico Militar, 2019)
were used to assess the population capacity of all DRR greenspace (Sect. 3.4.1) in
the event that they were to be used for accommodation following a disaster
such as an earthquake. We assessed the capacity of two types of greenspaces:
(1) DRR greenspace that overlapped with DMQ-designated greenspaces, which
included city parks and safe spaces (Sect. 3.4.1), and (2) all DRR greenspaces
identified in this study that were either designated or undesignated. These
two scenarios therefore represent the DRR capacity based on current
designations (1), compared to the potential maximum capacity (2). We
considered two separate cases of populations within 800 and 1600 m network
buffers of each greenspace. For each scenario, we used a network analysis to
assign population demand points to each greenspace based on their proximity,
up to the maximum buffer distance. The network was constructed as a grid at
100 m resolution and considered population demand points also gridded at 100 m resolution, which were uniformly disaggregated from census polygons. The
number of people that could be accommodated in each greenspace depends on
the capacity of the space and the population demand in the surrounding
buffer. We considered capacities based on Sphere Association (2018)
guidelines, which suggest an allocation of 45 m<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person
(recommended amount per person accounting for communal facilities and
infrastructure in an emergency shelter setting) and 3 m<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person
(minimum living space per person). All demand within the buffers was
allocated to the closest greenspaces; therefore, excess demand was reported
as overcapacity. We did not consider the possibility of people moving
greater distances around the city to distribute the population demand more
equally, which could occur following an initial disaster situation, or that
only a fraction of the population would require access to refuge space in a
disaster situation. Considering potential policy consideration, we also used
a maximum capacitated coverage network analysis (e.g.
Anhorn and Khazai, 2015) with the same datasets to find the “top 10” DRR
greenspaces in Quito based on a minimum space requirement of 3 m<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per
person and a travel distance of 800 m.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Urban growth</title>
      <p id="d1e995">Our land cover classifications showed that the urban area of Quito expanded
<inline-formula><mml:math id="M59" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 192 km<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> over the study period, more than doubling from
160 <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 50 km<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in 1986 to 352 <inline-formula><mml:math id="M63" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 47 km<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> in 2020 (Fig. 4, Table S5). Urban expansion was primarily aligned along-valley (north–south) and eastward (Fig. 5a) into areas of previously scrub
vegetation/bare and agricultural/grassland classes. The future urbanisation
scenario of Bonilla-Bedoya et al. (2020b) covered an urban area of
1232 km<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (F-U), whereas the M-U scenario covered 705 km<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Fig. 4a), which was still double the observed 2020 urban area. Future
urbanisation in the modelled scenarios was predominantly eastward, where
lower-density urbanisation interspersed with the scrub vegetation/bare
ground class was already apparent in 2020 (Fig. 5). The area of woodland and
agriculture/grassland classes also increased in 1986–2020. A notable example
of afforestation (4.8 km<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) was the park Metropolitano del Sur, which is
located on the southeast of the city limit (Fig. 5a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1076"><bold>(a)</bold> Mapped land cover classification results for 1986 and 2020
alongside modelled future land cover from two scenarios (superscript 1 and 2)  using
data from Bonilla-Bedoya et al. (2020b). <bold>(b)</bold> Error-adjusted (e.g. Olofsson et al., 2013, 2014) land cover classification results from
1986 and 2020.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1092"><bold>(a)</bold> 3D perspective showing urban growth for 1986–2020 and land cover.
<bold>(b)</bold> Quito's urban area in 2020 compared to modelled future urbanisation
(F-U) (Bonilla-Bedoya et al., 2020b) and a modified scenario (M-U).
Background is a hillshaded SRTM DEM.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f05.png"/>

        </fig>

      <p id="d1e1107">The median elevation of Quito's urban extent in 2020 (2780 m) was similar
to 1986 (2810 m); however, the city covered a broader elevation range in
2020, tending towards lower elevations (Fig. 6a), which was also apparent
for the F-U and M-U scenarios. The urban class displayed the smallest spread
of values for topographic slope (Fig. 6b). Here, the median slope of the
urban class was <inline-formula><mml:math id="M68" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in 1986 and 2020; however, this
increased to 11 and 7<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in the F-U and M-U scenarios
respectively, in addition to a broader spread of slope values. Woodland
featured the highest median slope of all land cover classes (<inline-formula><mml:math id="M71" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 28<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and a comparable median elevation to the urban class
(<inline-formula><mml:math id="M73" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2700–2800 m).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1161">Elevation <bold>(a)</bold> and slope <bold>(b)</bold> characteristics of the classified and
modelled land cover scenarios. Boxes show the interquartile range and the
median (horizontal line). Lines show values within 1.5 times the
interquartile range. Outliers are not shown. <bold>(c)</bold> 2020 land cover
intersections with landslide susceptibility and the percentage point change
since 1986. <bold>(d)</bold> Future land cover intersections with landslide
susceptibility using modified urbanisation probability (M-U) of
Bonilla-Bedoya et al. (2020b), as well as the difference compared to the unmodified
scenario (F-U).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Intersection with hazards</title>
      <p id="d1e1190">Landslides are one of the most common natural hazards in Quito (DMQ,
2018). We found good spatial association between observations of landslide
events in Ecuador's Open Government database (2006–2017) and a landslide
susceptibility model (Stanley and Kirschbaum, 2017) (Fig. S4). Of
1321 recorded events, 82 % (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1089</mml:mn></mml:mrow></mml:math></inline-formula>) fell within landslide
susceptibility categories 3–5, of which 44 % (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">576</mml:mn></mml:mrow></mml:math></inline-formula>) were in the
highest category (5). A total of 10 events were observed in the lowest category (1).
We observed a small change in the landslide susceptibility of the urban
class for 1986–2020. Here, the urban area in the highest landslide
susceptibility categories (4 and 5) increased by 2 percentage points for
1986–2020 (Fig. 6c). The largest change was observed in the
agriculture/grassland class, which featured a 9 percentage point increase in
category 5 (high) landslide susceptibility. Woodland mostly occurred within
the highest landslide susceptibility category 5 (87 %) (Fig. 6c). Regarding
future urbanisation, the M-U scenario restricted future urbanisation in
landslide susceptibility category 5; therefore, the observed percentage of
urban area in category 5 (6 %) was notably lower than in the F-U scenario
(47 %), which did not enforce any restrictions.</p>
      <p id="d1e1217">Flood events in Quito that were recorded in Ecuador's Open Government
database were evaluated alongside a TWI derived from the 10 m resolution
Pleiades DEM, noting that this does not account for subsurface drainage.
Median TWI values for all flood events (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1274</mml:mn></mml:mrow></mml:math></inline-formula>), clustered flood events
where two or more events were located within 40 m of each other (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">125</mml:mn></mml:mrow></mml:math></inline-formula>),
and a random sample (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula>) were 13.3, 14.4, and 12.1 respectively
(Fig. S6). Clustered flood events, which displayed the highest TWI, could
correspond to areas of nuisance flooding since multiple events are located
in close proximity (Kelleher and McPhillips, 2020). Two-sample
independent Welch <inline-formula><mml:math id="M79" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests (one-tailed) showed that the difference in TWI
values between all flood events and clustered floods events was
statistically significantly different from the random sample (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Therefore, the mean TWI value was observed to be larger in areas of
flood locations compared to the random sample.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1280">Examples of greenspace in Quito from photographs taken in October
2019 <bold>(a–d)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f07.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Greenspace</title>
      <p id="d1e1300">Quito includes multiple types of greenspace that provide ecological, social,
and disaster risk reduction benefits (Figs. 1a, 7). Within our AOI, 18.6 km<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of potential DRR greenspace was identified, which covered 6 % of
the urban zone (Fig. 8). DMQ-designated greenspace had an area of 36.9 km<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, of which 2.5 km<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (7 %) intersected with potential DRR
greenspace. Similarly, DMQ-designated safe spaces covered 17.3 km<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, of
which 1.7 km<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (10 %) intersected with potential DRR greenspace.
Comparing DRR greenspaces with hazard information revealed that 62 % of
DRR greenspace intersected with areas of high TWI values (<inline-formula><mml:math id="M86" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 14.4 (median value for clustered flood events; Sect. 4.2)), 10 %
intersected with areas of high (category 5) landslide susceptibility, and
6 % intersected with both hazards (Fig. 8b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1358"><bold>(a)</bold> Greenspace mapped using the NDVI applied to Pleiades satellite
imagery shown with classified potential DRR greenspace (black and red
circles, pink shading). Red circles indicate DRR greenspace that intersects
with landslide susceptibility class 5 (high) and a topographic wetness index
value of <inline-formula><mml:math id="M87" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 14.4 (median value for clustered flood events; Sect. 4.2). The inset of Carolina Park shows the similarity of
Pleiades-derived greenspace compared to greenspace mapped using Sentinel-2
imagery. The Pleiades inset shows the distribution of potential DRR
greenspace (pink) in Carolina Park. <bold>(b)</bold> Summary of greenspace availability
and hazard intersections.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f08.png"/>

        </fig>

      <p id="d1e1379">The association between population, socio-economic classification
(Instituto Geográfico Militar, 2019), and greenspace accessibility
was investigated for greenspaces <inline-formula><mml:math id="M88" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 2000 m<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The number of people
living within close proximity to designated greenspace was higher than for
DRR greenspace (Fig. 9a). For example, 2.3 million (98 %) of Quito's
population were within 800 m of a designated greenspace, compared to 2.1 million for the DRR greenspace (88 %). Distance to the nearest greenspace
was greater for “low” and “medium-low” socio-economic classifications
compared to “high” and “medium-high” (Fig. 9b). Here, the difference in
median values was greatest for designated greenspace (466 m), compared to
our classification of DRR greenspace (80 m). The amount of designated
greenspace per person was smaller for lower socio-economic classifications,
with a median of 3 m<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person for the “low” classification compared
to 8 m<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for “high”. However, the amount of DRR greenspace was
greatest for lower socio-economic classifications, with a median of 24 m<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person for “low” compared to 4 m<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for “high” (Fig. 9c).
This reflects lower population densities on the city margins (Fig. 9d) and
the persistence of agricultural land and undeveloped ground in these areas
following urbanisation.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1438"><bold>(a)</bold> Population proximity to designated and DRR greenspace. <bold>(b)</bold>
Violin plot showing distance to the nearest greenspace for each
socio-economic classification. Overlaid boxplots show the interquartile range
and the median (horizontal line). Lines show values within 1.5 times the
interquartile range. Outliers are excluded. <bold>(c)</bold> Violin plot showing
greenspace per person within 800 m for each socio-economic classification.
Boxplots are overlaid with outliers excluded, and values <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person are not shown. <bold>(d)</bold> Spatial variation in socio-economic
classification and population density for Quito using data from the Instituto
Geográfico Militar (2019). <bold>(e)</bold> Number of people that could be
accommodated in DRR greenspace based on an allocation of 45 m<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per
person capacity and <bold>(f)</bold> 3 m<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person capacity. Panels <bold>(e–f)</bold> show
capacitated populations for a network distance of 800 m (light grey bars)
and 1600 m (dark grey bars) from the greenspace centroid and for DRR
greenspace in designated spaces compared to all potential DRR greenspace
mapped in this study.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f09.png"/>

        </fig>

<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Greenspace capacity</title>
      <p id="d1e1512">We assessed the capacity of each space considering the surrounding
population demand. For populations within 800 m, DRR greenspace in currently
designated areas could accommodate 1.7 % (40 778) of Quito's population
(total 2.3 million) with an allocation of 45 m<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person or
13.5 % (318 556) with 3 m<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person (Figs. 9e–f, 10a). Considering
all potential DRR greenspace (Fig. 8a), these values are 7.7 % and
40.3 % respectively (Fig. 9e–f). The top 10 DRR strategies providing greenspaces are
shown in Figs. 10b and 11. Eight of these spaces overlap fully or
partially with currently designated greenspaces or safe spaces, and two did
not (Fig. 11). Of these 278 currently designated spaces, only 10 were not
over-capacity based on the population demand (Fig. 10b).
<?xmltex \hack{\newpage}?></p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1536"><bold>(a)</bold> Designated green areas and safe spaces (dashed blue polygons)
from Open Government data and their mean NDVI extracted using Pleiades
satellite data. <bold>(b)</bold> Overcapacity of DRR greenspace in currently designated
greenspaces or safe spaces. Green markers show the top 10 DRR greenspaces
based on a maximum capacitated coverage model.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f10.png"/>

          </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1552">Top 10 ranked DRR greenspaces (red) and other nearby DRR
greenspaces (pink) derived using a maximum capacitated coverage network
analysis, which finds the greenspaces capable of accommodating the most
people within 800 m using a minimum space requirement of 3 m<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per
person (Sect. 3.4.2).</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f11.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Urban growth and hazard intersections</title>
      <p id="d1e1587">Quito's historical urban expansion is largely aligned north–south, whereas
future urban expansion is focussed to the north and east (Fig. 5). Our study
captures a period of land occupations starting in the 1980s including the
settlement of Atucucho (Figs. 2b, 5a), which formed informally in 1988
(Testori, 2016). This occupation is visible in our land cover
classification (Fig. 5a). The formation date is labelled as 2003 in Open
Government data (Fig. 2b), which likely reflects its origins as an informal
settlement that was potentially not included in official maps until 2003. In
this case, satellite imagery can capture the urban sprawl of a city,
including occupations that may not be apparent in historical maps. However,
image classification methods usually only capture 2D sprawl and not
vertical high-rise developments or redevelopments that are important for
measuring exposure to natural hazards (e.g. Amey et al.,
2021). Quito's past and projected urban growth has been studied by several
authors in recent years (e.g. Bonilla-Bedoya et al., 2020b; Salazar et
al., 2020; Valencia et al., 2020). Cross-comparisons are complicated by the
use of different study areas since Quito's urban area now exceeds the
designated metropolitan district boundary, which has prompted investigations
to create a new district area (Salazar et al., 2021). By comparing
our urban classification (year 2020) to that of Bonilla-Bedoya et al. (2020b)
(year 2016) within the same area of interest, we find urban areas of 213 and 210 km<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> respectively, which indicates
classification consistency using EO data despite different methodological
approaches.</p>
      <p id="d1e1599">We observed that expansion of Quito and future projections tend towards
lower elevations (Fig. 6a) and steeper slopes (Fig. 6b), the latter of which
is associated with encroachment into areas of high landslide susceptibility
(Fig. 6c, d). Limited urban expansion to the west of Quito on the steep
slopes of Pichincha volcano suggests that a programme of protection to avoid
encroachment is working (Vidal et al., 2015). However, several of these areas
or their vicinities are inhabited because of previous land invasion dynamics
that affected the peripheral green belt. They can be characterised from a
spatial and socio-economic approach as a homogeneous space, in which the less
economically favoured classes experience greater possibilities of isolation
from other social groups (Bonilla-Bedoya et al., 2020a). Further
limiting eastward urban growth reduces the ashfall and lahar hazard in the
event of an eruption (Fig. 2c) and the hazard posed by landslides (Fig. 2d).
Additionally, the predominantly woodland slopes east of Quito (Fig. 5a)
featured the highest landslide susceptibility scores (87 % of woodland is
in class 5 (high) (Fig. 6c)) and are therefore a valuable target for
protection against urbanisation. Our observed decreasing elevation trend of
Quito's urban area (Fig. 6a) reflects north–south and eastward expansion
into lower-lying flatter areas such that at a city scale, Quito's landslide
susceptibility did not notably increase from 1986 to 2020 (Fig. 6c). These areas
are also the location of projected future expansion (Bonilla-Bedoya et
al., 2020b; Salazar et al., 2020; Valencia et al., 2020), predominantly
through conversion of scrub vegetation and bare ground (Fig. 5a). Notable
ravines exist in these areas; therefore, risk-informed planning to reduce
encroachment on steep slopes, which was reflected in our M-U future urban
scenario, is desirable to minimise landslide risk to future developments.
These areas are also likely to be most susceptible to multi-hazards such as
rainfall-triggered lahar remobilisation or landslides, as well as flood- and
earthquake-triggered landslides (Gill and Malamud, 2017). Similarly, the
filling of ravines from the 17th century onwards restricts the
drainage capacity during intensive rainfall and increases flood risk
(Aragundi et al., 2016); therefore, incorporating additional DRR
greenspaces here to attenuate run-off and store water could be beneficial.</p>
      <p id="d1e1602">While risk-informed urbanisation can mitigate some hazards such as
landslides, an intensive earthquake hazard exists in Quito (Fig. S1) such
that urban risk reduction requires building resilience at community to
city-wide levels (Alvarado et al., 2014; Valcárcel et al., 2017). A
key element of resilience is the access to “safe spaces” following an
earthquake event in which communities can avoid damaged buildings and
infrastructure and receive emergency aid (Sphere Association, 2018).
These spaces are increasingly viewed within a broader network of benefits to
society and ecosystems (e.g. Fig. 1a) and are framed within Eco-DRR strategies
(UNDRR, 2020). We therefore evaluated greenspaces in Quito that could
offer DRR capabilities by both considering existing designated greenspaces
and assessing other non-designated greenspaces.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Greenspace</title>
      <p id="d1e1613">Our study was designed to identify the basic requirements for sites that
could be designated or developed as DRR greenspace using an
earth-observation-based methodology that could be adapted and applied to
other cities. This is timely since greenspace is becoming increasingly
desirable to improve environment quality and contribute to addressing climate
breakdown, and greenspace within Eco-DRR strategies can simultaneously
mitigate against multiple hazards (Onuma and Tsuge, 2018; McVittie et
al., 2018; Sudmeier-Rieux et al., 2021). Our DRR greenspace primarily
addresses the basic requirements of people-space and amenable topography for
medium- to long-term accommodation requirements, such as following a major
earthquake. Examples are shown in Fig. 12 for areas in central Quito and on
the periphery. Regarding urban risk, green space in Quito has been thought
of from the perspective of threat. For example, interventions have been
developed on the slopes of Pichincha from a logic of risk mitigation
(Vidal et al., 2015). Recently, after the 2016 Ecuador earthquake, green
and open spaces were incorporated throughout the city as safe points in case
of evacuation (Rebotier, 2016) (Fig. 10a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e1618">3D perspective showing examples of potential DRR greenspace
identified in Quito. <bold>(a)</bold> Parque La Carolina is in central Quito amongst
commercial high-rise buildings. <bold>(b)</bold> San Luis De Miravalle is located on the
southeast of Quito and is characterised by lower-density urban development
and steep slopes. <bold>(c)</bold> Llano Chico is in the east of Quito with low-density
urban development mixed with agricultural land that is bounded by steep
ravines.</p></caption>
          <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/22/1699/2022/nhess-22-1699-2022-f12.png"/>

        </fig>

      <p id="d1e1636">We found that 7 % (2.5 km<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) of the DMQ-designated greenspace was
identified as potential DRR greenspace. Similarly, 10 % (1.7 km<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) of
the DMQ-designated safe spaces intersected with our classified DRR
greenspace (Figs. 8, 10a). The total area of potential DRR greenspace within
Quito was 18.6 km<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>; therefore, a large potential exists to incorporate new
greenspaces into a DRR framework, especially in the south and east of the
city, which are locations of projected future expansion and where urban
expansion and population densities are lower (Figs. 5b, 9d). New designation
of greenspaces could address some of the imbalance between greenspace access
since 98 % (<inline-formula><mml:math id="M105" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2.3 million) of Quito's population was within
800 m of a designated greenspace, compared to 2.1 million for the DRR
greenspace (88 %) (Fig. 9a). Lower socio-economic classifications had a
greater distance to travel to the nearest designated greenspace and a lower
greenspace area per person overall (Fig. 9b, c), which was also observed by
Cuvi et al. (2021), noting that informal developments have less access to
larger designated parks. We found a median designated greenspace of 3 m<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person for the “low” socio-economic classification. However, the
availability of potential DRR greenspace to these same communities (median
of 24 m<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) shows that additional designations could help address the
imbalance. This is also aligned with Quito's Vision 2040 document to
increase greenspace in urban areas to <inline-formula><mml:math id="M108" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 m<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>
per person (DMQ, 2018). Critical to addressing these inequalities is to
ensure that all formal and informal settlements are reflected in
socio-economic statistics and included in official maps.</p>
      <p id="d1e1709">Although we found high accessibility of greenspace within 800 m of
populations, the capacity to serve surrounding populations for emergency
refuge was 1.7 % considering the recommended space allocation of 45 m<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person (Fig. 9a) (Sphere Association, 2018). Incorporating
all additional spaces that are DRR suitable could increase this to 8 %  or
40 % using a minimum living allocation of 3 m<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person (Sphere Association, 2018). A network analysis producing the ranked top 10 DRR greenspaces (Fig. 11) showed that eight intersected with currently
designated greenspaces or safe spaces, and two did not. These two spaces
could be investigated for negotiating formal access to these spaces for use
in an emergency, such as the golf course forming Site 5 (Fig. 11e).</p>
      <p id="d1e1730">We focus on greenspace as an emergency refuge; however, these spaces can
also contribute to mitigating hazards both through physical processes such
as water retention or slope stabilisation (Phillips and Marden, 2005;
Maragno et al., 2018; Sandholz et al., 2018) and also through their existence in
places that would be hazardous if urbanised. We found that of the potential
DRR greenspace identified in Quito, 62 % intersected with TWI values
indicative of potential flooding (Sect. 4.2), 10 % with areas of high
landslide susceptibility, and 6 % with both hazards (Fig. 8, red
circles). Therefore, there is potential to mitigate future risk by
maintaining greenspace and therefore avoiding development in potentially
hazardous areas, as well as incorporating additional DRR greenspaces that are not
exposed to hazards for use as refuges.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Future work</title>
      <p id="d1e1741">Our study has provided a city-wide assessment of Quito's historical and
future growth projections, as well as the potential role of greenspace in reducing
disaster risk. The first-pass analysis of greenspace suitable for DRR could
be used for local community-scale evaluation and stakeholder engagement to
deliver improved resilience for the city. Subsequently, the methodology
could be expanded to define a continuum of greenspace suitability for DRR by
incorporating other important factors including site-specific suitability
trade-offs such as land value, ownership, and access to water, electricity,
and hospitals (Anhorn and Khazai, 2015; Hosseini et al., 2016).
Similarly, we focussed on greenspaces since these spaces are most likely to
be accessible, and they provide multiple benefits; however, concreted grey
spaces such as commercial car parks could also serve a role in providing
safe spaces for DRR, particularly if a disaster event occurred during work
hours. Methodological developments could include multi-temporal and
potentially higher-resolution datasets, for example landslide susceptibility
information that reflects changing land cover and therefore an evolving
hazard (Emberson et al., 2020). For example, a dynamic
landslide susceptibility map could consider a potentially increased
landslide hazard due to road cuttings in areas undergoing urban development (Froude and Petley, 2018) and the dynamic nature of
landslide hazard in response to precipitation events (Kirschbaum and Stanley, 2018). Additionally, our investigation of flood events
alongside a TWI would benefit from a better understanding of the capacity
and distribution of the subsurface drainage network within Quito,
particularly where natural drainage channels are blocked (e.g.
Aragundi et al., 2016). Nonetheless, our assumptions that all flood water
would flow on the surface represents a worst-case scenario during a flood
event in which the artificial drainage network is at capacity.</p>
      <p id="d1e1744">The use of EO-based datasets broadens the applicability of our methods to other
cities. Whilst other sources of multispectral satellite imagery (e.g. 3 m
resolution PlanetScope or 10 m resolution Sentinel-2) could still delineate
the types of greenspaces relevant to DRR (e.g. Fig. 8 inset), we relied on a
high-resolution Pleiades DEM to provide topographic relief information on
the greenspace DRR suitability. Global 30 m resolution DEMs could likely
substitute this in some cases, though they are potentially less suitable in
densely built urban environments where flat open greenspaces are interspaced
with tall buildings and trees for example (Fig. 12a), which cannot be
distinguished in 30 m elevation models. Here, elevation and slope values
derived from 30 m resolution DEM represent an average of features (for
example buildings, cars, and trees) within the 30 m cell. Therefore, the
topography of greenspaces is resolved in less detail.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e1756">In this study, we used a combination of satellite data analysis and
secondary datasets to quantify Quito's historical growth, future
intersection with hazards, and distribution of greenspace within the city.
Quito's historical growth (<inline-formula><mml:math id="M112" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 192 km<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> 1986 to 2020) was
primarily on flatter, former agricultural land; hence there was limited
encroachment towards hazards of Pichincha volcano and areas of higher
landslide susceptibility. However, our work shows that future urbanisation
projections suggest an increasing intersection between urban areas and areas
of high landslide susceptibility, which requires risk-informed planning to
mitigate. General accessibility of greenspaces is high, with 98 % (2.3 million) of Quito's population within 800 m of a designated greenspace and
88 % (2.1 million) for the DRR greenspace classification. However, within
800 m, the capacity of currently designated greenspaces and safe spaces
would only fulfil 2 % of Quito's population needs if required for emergency
refuge. Over 40 % could be accommodated by incorporating new DRR
greenspaces identified in this study. We also found a disparity between
access to greenspaces across socio-economic classifications, with low-medium
groups having less access to designated greenspace (3 m<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> per person for
the “low” classification compared to 8 m<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for “high”). In some cases,
these low-medium groups have the greatest opportunity for future designation
of DRR greenspace due to their location on the city periphery in areas of
lower population density. Our workflow uses satellite data to provide a
first-pass evaluation of DRR greenspace potential and could therefore be
adapted for application in other urbanising cities. The results provide the
foundation to evaluate these spaces with stakeholders at community to
city-wide scales since promoting equitable access to greenspaces,
communicating their multiple benefits, and considering their use to restrict
development in hazardous areas will be key to sustainable, risk-informed
urban growth.</p>
</sec>

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

      <p id="d1e1797">The data used to support the findings and results of this study are
available in the Supplement and in the Zenodo repository
<ext-link xlink:href="https://doi.org/10.5281/zenodo.5881876" ext-link-type="DOI">10.5281/zenodo.5881876</ext-link> (Watson et al., 2022). Pleiades imagery data
were provided through the CEOS Seismic Hazard Demonstrator and are
restricted by license.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1803">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/nhess-22-1699-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/nhess-22-1699-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1812">All authors have read and agreed to the published version of the manuscript.
CSW, ES, MAV, JRE, and SKE designed the concept. JRE, CZ, SBB, PC, and DFO
provided access to datasets. CSW performed the analysis and prepared the
figures. CSW wrote the manuscript with input from JRE, SKE, MAV, CZ, SBB, PC, DFO, MC, JM, and ES.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1818">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1824">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1831">The Committee on Earth Observation Satellites (CEOS) and Centre national
d'études spatiales (CNES) are thanked for providing access to the Pleiades
satellite imagery used in this study. Pleiades images were made available by
CNES in the framework of the CEOS Working Group for Disasters. © CNES (2018, 2019, 2020) and Airbus DS, all rights reserved. Commercial uses forbidden.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1836">This research has been supported the UK Research and Innovation (UKRI)
Global Challenges Research Fund (GCRF) Urban Disaster Risk Hub
(grant no. NE/S009000/1) (Tomorrow's Cities), a NERC Innovation award (grant no.
NE/S013911/1), and COMET. COMET is the NERC Centre for the Observation and
Modelling of Earthquakes, Volcanoes and Tectonics, a partnership between UK
Universities and the British Geological Survey. John Elliott is supported by
a Royal Society University Research fellowship (UF150282), and Susanna
Ebmeier is supported by a NERC Independent Research Fellowship
(NE/R015546/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1842">This paper was edited by Paolo Tarolli and reviewed by Esthela Salazar and one anonymous referee.</p>
  </notes><ref-list>
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