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The economic impact of climate change on urban drainage master planning in Barcelona

Abstract

In the context of global change, urban drainage infrastructures must be planned considering future challenges such as new climate change and urban growth scenarios. Large cities require master plans to properly rank and schedule infrastructure development. The flood mitigation measures proposed in previous plans must be revised and updated to address future urban challenges with special regard to climate scenarios. Regarding risk assessment, there is no linear relationship between an increase in rainfall and an increase in risk value. For risk management, the relationship between an increase in rainfall increase and the budget for mitigation measures is even more complex. To investigate this relationship and the economic impact of the aforementioned up-date, a new plan should be elaborated. Urban drainage master plans have been developed in Barcelona city for the last 50 years. In terms of rainfall, the impact of climate change has been established to be an increase of 7–26% at peak intensity, depending on rainfall duration. The Integral Drainage Master Plan of Barcelona (PDISBA) addresses these new challenges. The modification of rainfall scenario planning and the typology of mitigation measures result in an important rise in investment budget, infrastructure life cycle, and operation and maintenance budgets for said infrastructure. The total cost of the planned measures outlined in the PDISBA has risen to €1.442 million, nearly double that of the previous plan developed in 2006. Ortiz, A.; Velasco, M.J.; Esbri, O.; Medina, V.; Russo, B.

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The economic impact of climate change on urban drainage master planning in Barcelona

Author: Ortiz, A.; Medina, V.; Velasco, M.J.; Russo, B.; Esbri, O.
Year: 2021
DOI: 10.3390/su13010071
Source: https://zaguan.unizar.es/record/99186/files/texto_completo.pdf
sus ainabili y
A icle
The Economic Impac o Clima e Change on U ban D ainage
Mas e Planning in Ba celona
Alejand o O iz 1, Ma ia JoséVelasco 1, Osca Esb i 1, Vicen e Medina 2,* and Beniamino Russo 3,4,5


Ci a ion: O iz, A.; Velasco, M.J.;
Esb i, O.; Medina, V.; Russo, B. The
Economic Impac o Clima e Change
on U ban D ainage Mas e Planning in
Ba celona. Sus ainabili y 2021,13, 71.
h ps://dx.doi.o g/10.3390/su13010071
Recei ed: 7 Oc obe 2020
Accep ed: 18 Decembe 2020
Published: 23 Decembe 2020
Publishe ’s No e: MDPI s ays neu-
al wi h ega d o ju isdic ional claims
in published maps and ins i u ional
a ilia ions.
Copy igh : © 2020 by he au ho s. Li-
censee MDPI, Basel, Swi ze land. This
a icle is an open access a icle dis ibu ed
unde he e ms and condi ions o he
C ea i e Commons A ibu ion (CC BY)
license (h ps://c ea i ecommons.o g/
licenses/by/4.0/).
1Ba celona Cicle de l’Aigua (BCASA), Ba celona Ci y Council, Ace 16, 08038 Ba celona, Spain;
[email p o ec ed] (A.O.); [email p o ec ed] (M.J.V.); [email p o ec ed] (O.E.)
2Ba celonaTech, Uni e si a Poli ècnica de Ca alunya (UPC), Jo di Gi ona 1-3, 08034 Ba celona, Spain
3AQUATEC (SUEZ G oup), Paseo de La Zona F anca, 46-48, 08038 Ba celona, Spain;
[email p o ec ed]
4G upo de Ingenie ía Hid áulica y Ambien al (GIHA), Escuela Poli écnica de La Almunia, EUPLA,
Uni e sidad de Za agoza, Calle Mayo , 5, La Almunia de Doña Godina, 50100 Za agoza, Spain
5Flumen Resea ch Ins i u e, Uni e si a Poli ècnica de Ca alunya (UPC), Jo di Gi ona 1-3,
08034 Ba celona, Spain
*Co espondence: [email p o ec ed]
Abs ac :
In he con ex o global change, u ban d ainage in as uc u es mus be planned conside ing
u u e challenges such as new clima e change and u ban g ow h scena ios. La ge ci ies equi e mas e
plans o p ope ly ank and schedule in as uc u e de elopmen . The lood mi iga ion measu es
p oposed in p e ious plans mus be e ised and upda ed o add ess u u e u ban challenges wi h
special ega d o clima e scena ios. Rega ding isk assessmen , he e is no linea ela ionship be ween
an inc ease in ain all and an inc ease in isk alue. Fo isk managemen , he ela ionship be ween
an inc ease in ain all inc ease and he budge o mi iga ion measu es is e en mo e complex. To
in es iga e his ela ionship and he economic impac o he a o emen ioned upda e, a new plan
should be elabo a ed. U ban d ainage mas e plans ha e been de eloped in Ba celona ci y o
he las 50 yea s. In e ms o ain all, he impac o clima e change has been es ablished o be an
inc ease o 7–26% a peak in ensi y, depending on ain all du a ion. The In eg al D ainage Mas e
Plan o Ba celona (PDISBA) add esses hese new challenges. The modi ica ion o ain all scena io
planning and he ypology o mi iga ion measu es esul in an impo an ise in in es men budge ,
in as uc u e li e cycle, and ope a ion and main enance budge s o said in as uc u e. The o al
cos o he planned measu es ou lined in he PDISBA has isen o
€
1.442 million, nea ly double ha
o he p e ious plan de eloped in 2006.
Keywo ds: lood isk managemen ; d ainage planning; cos –bene i analysis
1. In oduc ion
Cu en ly, 54% o he wo ld’s popula ion li es in u ban a eas, a p opo ion ha is
expec ed o inc ease o 66% by 2050 [
1
]. These u ban a eas a e, due o he concen a ion o
popula ion asse s and economic ac i i ies, some o he mos sensi i e egions o na u al
haza ds [
2
]. Indeed, he e is a common ag eemen ega ding he ele ance o he impac o
clima e change on ou socie y [
3
–
5
], wi h u ban looding being a good example [
6
–
8
]. In
his con ex , u ban d ainage sys ems can ail mainly due o a non-s a iona y clima e and
apid u baniza ion and may become less e icien ega ding c ucial issues such as sewe
o e lows and an inc ease in u ban looding [9].
The e o e, u ban lood and en i onmen al isk assessmen s plays a c ucial ole, due
o he need o plan and adop mi iga ion measu es. Speci ically, a comp ehensi e isk
assessmen ( ocused on he managemen o social, economic, and en i onmen al isks) is
he p ope way o quan i a i ely e alua e he bene i s o adap a ion measu es in he ield
o u ban d ainage [
9
–
12
], using i s ools, such as he expec ed annual damage (EAD) [
13
]
o cos –bene i analysis (CBA) [14].
Sus ainabili y 2021,13, 71. h ps://dx.doi.o g/10.3390/su13010071 h ps://www.mdpi.com/jou nal/sus ainabili y
Sus ainabili y 2021,13, 71 2 o 25
Clima e change mus be included in in as uc u e design [
15
,
16
]. In he lood isk
managemen cycle, clima e change modi ies he haza d esul s, al e ing o isk in he inal
alue (in e ms o EAD), and hence, modi ying he mi iga ion measu es as well. The design
c i e ia o such measu es could be he e u n pe iod, he CBA, o he knee/elbow poin ,
bu in all o hem, he e ec o clima e change will appea , he eby modi ying he inal
in es men budge . The complexi y o he comple e p ocess and i s pa icula s eps makes
i di icul o quan i a i ely ela e clima e change o in es men budge .
Big ci ies such as Ba celona ha e been managing u ban looding isk o a leas
50 yea s. This means ha he d ainage ne wo k has been homogeneously adap ed o
he egula ions and he p e e ed design c i e ia; he e o e, a small inc ease in ci cula ing
discha ge could signi ican ly a ec he ne wo k’s global pe o mance. Beyond he damage
cu es, his e ec g ea ly impac s any planned imp o emen s in he ne wo k. To p ope ly
in es iga e hese impac s, he whole isk managemen cycle has been ep oduced o
clima e change scena ios in he ci y o Ba celona. New lood managemen s a egies,
such as hose ela ed o imp o ing he wa e quali y o ecei ing wa e bodies ( om he
Medi e anean Sea and Bèsos Ri e , in his case), include elemen s such as sus ainable
d ainage sys ems (SUDSs) o low-impac de elopmen (LID), no p esen in p e ious plans,
bu which modi y mi iga ion budge s in acco dance wi h he haza d.
I is common o ind p e ious esea ch ha assesses he impac o clima e change
in ela ion o lood isk [
11
,
17
,
18
], bu i is no so common o ind comple e managemen
cycles, including de ailed measu emen s o he impac on big ci ies in e ms o he economy
and u ban planning o o he en i onmen al impac s conside ing he e ec s o combined
sewe o e lows on he ecei ing wa e bodies. Howe e , he e is p e ious esea ch on he
me hodology ega ding how o de elop i [12].
P e ious isk assessmen esea ch on he impac o clima e change e eals ha he
quan i a i e ela ionship be ween isk and p ecipi a ion is no simple [
11
,
13
], due o he
accumula ion o non-linea s eps. This ela ionship is expec ed o be mo e complex o he
mi iga ion budge .
2. PDISBA Mas e Plan
The ci y o Ba celona is loca ed along he wes Medi e anean sho eline and i is
con ined by i e s o he no h and sou h, moun ains o he wes , and sea o he eas . The
mos impo an challenges i will ha e o add ess in ela ion o clima e change (CC) a e
educed wa e a ailabili y, a ising sea le el, inc eased looding and eceding beaches, and
de e io a ion o wa e quali y in he ecei ing wa e bodies. The o ecas ed consequences
o CC will equi e a new pa adigm in u ban planning o his cen u y. A new ime scale
appea s linked o CC, and in as uc u es planned using p esen scena ios will be ou da ed
in he mid- e m. The PDISBA add esses hese challenges by e alua ing he impac o he
nex 80 yea s and p oposing adap a ion measu es o be implemen ed du ing he nex 20
yea s. Howe e , he amoun o he in es men and he complexi y o such p ojec s equi e
de ailed analysis in e ms o echnical de elopmen and economic impac .
In o de o pe o m a long- e m analysis, i is necessa y o include he ope a ion and
managemen ac i i ies and he li e cycle o exis ing and p ojec ed in as uc u es. All o
hese elemen s should be included in he economic e alua ion o he mas e plan. The
selec ed s a egy o execu e he analysis in Ba celona is o pe o m a CBA, which has been
p e iously applied [
19
]. Due o he c oss-in e ac ions be ween measu es, i is no possible
o e alua e hem as independen ac i i ies o o ank hem using he esul s o he CBA.
Mo eo e , i is no possible o co e he whole ange o possible measu e combina ions.
He ein, wo di e en g oups o measu es we e de ined as modeling scena ios and we e
e alua ed. The CBA esul s o he scena ios we e only used o jus i y he in es men s.
Addi ionally, he CBA esul s we e ob ained a he neighbo hood scale and used o he
p io i iza ion o in es men s.
The PDISBA is in ended o se e as an e ec i e u ban esis ance ool ha is capable o
o e ing a se o adap i e s a egies gea ed owa d educing he ulne abili y o he u ban
Sus ainabili y 2021,13, 71 3 o 25
en i onmen and p o ec ing people, asse s, and he en i onmen . The Comp ehensi e
Plan o Ba celona’s Sewe age Sys em (PICBA06), d awn up in 2006, is he plan cu en ly
in o ce. Howe e , i s p ojec ed imespan is no enough o p o ide answe s o he needs
posed by socie y on key issues such as he e ec s o CC and he social e u n on in es men .
Consequen ly, i was el ha he e was a need and jus i ica ion o upda ing he plan, wi h
he aim o esponding o he new social and en i onmen al eali y. Figu e 1shows he
di e en miles ones in he d ainage mas e plan o Ba celona.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 3 o 26
The PDISBA is in ended o se e as an e ec i e u ban esis ance ool ha is capable
o o e ing a se o adap i e s a egies gea ed owa d educing he ulne abili y o he
u ban en i onmen and p o ec ing people, asse s, and he en i onmen . The Comp ehen-
si e Plan o Ba celona’s Sewe age Sys em (PICBA06), d awn up in 2006, is he plan cu -
en ly in o ce. Howe e , i s p ojec ed imespan is no enough o p o ide answe s o he
needs posed by socie y on key issues such as he e ec s o CC and he social e u n on
in es men . Consequen ly, i was el ha he e was a need and jus i ica ion o upda ing
he plan, wi h he aim o esponding o he new social and en i onmen al eali y. Figu e
1 shows he di e en miles ones in he d ainage mas e plan o Ba celona.
Figu e 1. Di e en miles ones in he di e en Ba celona d ainage plans.
Wi h his commi men , he PDISBA is an ambi ious ci y plan capable o deli e ing a
esponse o he u u e challenges ha socie y is calling o , hus becoming he i s sewe -
age and d ainage plan o success ully achie e he ollowing speci ic goals:
• Conside a ion o CC o ecas in i s ain all modeling scena ios;
• Inclusion o a ba hing wa e coas al model;
• Ex ension o he impac analysis o include en i onmen al, social, and economic
damage;
• Inclusion o speci ic measu es o mi iga e CC;
• Conside a ion o sus ainable u ban d ainage sys ems, also known as low-impac de-
elopmen ;
• Inclusion o u ban esilience analysis;
• Inclusion o cos –bene i analysis and economic e iciency;
• Inclusion o long- e m analysis and mid- e m in es men .
3. De ini ion o Hyd ological Scena ios
Clima e change mi iga ion is one o he main goals o he PDISBA. The selec ed
me hod o include CC in he plan is h ough ex eme ain all scena ios [20,21]. Ins ead o
di ec ly using addi ional coe icien s o weigh he exis ing ain all scena ios, i was de-
cided o pe o m a comple e eanalysis o he a ailable ain all da a.
The en i onmen al impac o he u ban d ainage in Ba celona is mainly p o oked by
he combined sewe o e lows (CSOs) in he sea and in he i e s. In o de o p ope ly
analyze he e ec o he plan’s measu es on he CSO, a s anda d hyd ological yea was
de ined as ha ing mo e han 50 ain all e en s.
3.1. Rain all Time Se ies Reanalysis and S o m Design
To da e, s udies in o Ba celona’s ain all ha e been calcula ed using ain all da a om
he Fab a Obse a o y ain gauge s a ion. The ime se ies includes almos 100 yea s o
da a, bu he loca ion o he obse a o y in he moun ains abo e he ci y canno ensu e, a
Figu e 1. Di e en miles ones in he di e en Ba celona d ainage plans.
Wi h his commi men , he PDISBA is an ambi ious ci y plan capable o deli e ing a
esponse o he u u e challenges ha socie y is calling o , hus becoming he i s sewe age
and d ainage plan o success ully achie e he ollowing speci ic goals:
•Conside a ion o CC o ecas in i s ain all modeling scena ios;
•Inclusion o a ba hing wa e coas al model;
•
Ex ension o he impac analysis o include en i onmen al, social, and economic
damage;
•Inclusion o speci ic measu es o mi iga e CC;
•
Conside a ion o sus ainable u ban d ainage sys ems, also known as low-impac
de elopmen ;
•Inclusion o u ban esilience analysis;
•Inclusion o cos –bene i analysis and economic e iciency;
•Inclusion o long- e m analysis and mid- e m in es men .
3. De ini ion o Hyd ological Scena ios
Clima e change mi iga ion is one o he main goals o he PDISBA. The selec ed
me hod o include CC in he plan is h ough ex eme ain all scena ios [
20
,
21
]. Ins ead
o di ec ly using addi ional coe icien s o weigh he exis ing ain all scena ios, i was
decided o pe o m a comple e eanalysis o he a ailable ain all da a.
The en i onmen al impac o he u ban d ainage in Ba celona is mainly p o oked by
he combined sewe o e lows (CSOs) in he sea and in he i e s. In o de o p ope ly
analyze he e ec o he plan’s measu es on he CSO, a s anda d hyd ological yea was
de ined as ha ing mo e han 50 ain all e en s.
3.1. Rain all Time Se ies Reanalysis and S o m Design
To da e, s udies in o Ba celona’s ain all ha e been calcula ed using ain all da a om
he Fab a Obse a o y ain gauge s a ion. The ime se ies includes almos 100 yea s o da a,
bu he loca ion o he obse a o y in he moun ains abo e he ci y canno ensu e, a p io i,
ha i is ep esen a i e o he whole ci y. Mo eo e , he empo al esolu ion o he da a
is less accu a e han he new ain gauges’ ime s ep. Since 1994, he ci y has de eloped a
Sus ainabili y 2021,13, 71 4 o 25
managemen plan o con ol he sewe sys em, ins alling a o al o 25 new ain gauges ha
co e i s en i e su ace. Hence, a long ime se ies o ain all da a is a ailable (app oxima ely
24 yea s eco ded by 25 ain all g aphs achie ed by ipping bucke ain gauges), which
pe mi s he de elopmen o he en i e s a is ical me hodology based on eal da a.
The s a ing hypo hesis is ha he exis ing da a do no ye su e signi ican CC ends.
Subsequen ly, he in luence o he impac o clima e change can be conside ed explici ly
a e he ain all analysis, in acco dance wi h he u u e scena ios ob ained in ecen s udies
o he Ba celona Ci y Council and a ious clima e models.
I is possible o di ec ly es ima e he empi ical exceedance p obabili y o he ain all
da a eco ded in he ain gauges du ing he yea s conside ed. This me hod is a good
es ima ion o he maximum ain all in ensi y o e u n pe iods sho e han he eco ded
yea s. Fo his case, his me hod was assumed o be alid o e u n pe iods o up o
10 yea s, using 24 yea s o da a. The annual maximum in ensi y cu es o each e u n
pe iod be ween yea s 1 and 10 we e comple ed by in e pola ion o he a ailable da a om
he empi ical in ensi y–du a ion– equency (IDF) able.
Fo e u n pe iods abo e o equal o he numbe o a ailable da a, an ex apola ion
mus be pe o med. The maximum annual in ensi ies o he e u n pe iods o 20, 25, 30,
50, 75, 100, and 500 yea s we e calcula ed by ex apola ing he pa ame e s acco ding o
he Gumbel o ex eme ype I p obabili y dis ibu ion. Wi h he cu es co esponding o
he 95 h pe cen ile o each e u n pe iod, join IDF cu es o he ci y o Ba celona we e
cons uc ed o bo h he empi ical cu es and he cu es ex apola ed by Gumbel.
Figu e 2compa es he IDF cu es ob ained using he Fab a Obse a o y da ase and
he new da ase de eloped in he PDISBA using he new ain gauges’ da a. The plo shows
he 10-yea e u n pe iod plo s.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 4 o 26
p io i, ha i is ep esen a i e o he whole ci y. Mo eo e , he empo al esolu ion o he
da a is less accu a e han he new ain gauges’ ime s ep. Since 1994, he ci y has de eloped
a managemen plan o con ol he sewe sys em, ins alling a o al o 25 new ain gauges
ha co e i s en i e su ace. Hence, a long ime se ies o ain all da a is a ailable (app ox-
ima ely 24 yea s eco ded by 25 ain all g aphs achie ed by ipping bucke ain gauges),
which pe mi s he de elopmen o he en i e s a is ical me hodology based on eal da a.
The s a ing hypo hesis is ha he exis ing da a do no ye su e signi ican CC
ends. Subsequen ly, he in luence o he impac o clima e change can be conside ed ex-
plici ly a e he ain all analysis, in acco dance wi h he u u e scena ios ob ained in e-
cen s udies o he Ba celona Ci y Council and a ious clima e models.
I is possible o di ec ly es ima e he empi ical exceedance p obabili y o he ain all
da a eco ded in he ain gauges du ing he yea s conside ed. This me hod is a good es i-
ma ion o he maximum ain all in ensi y o e u n pe iods sho e han he eco ded
yea s. Fo his case, his me hod was assumed o be alid o e u n pe iods o up o 10
yea s, using 24 yea s o da a. The annual maximum in ensi y cu es o each e u n pe iod
be ween yea s 1 and 10 we e comple ed by in e pola ion o he a ailable da a om he
empi ical in ensi y–du a ion– equency (IDF) able.
Fo e u n pe iods abo e o equal o he numbe o a ailable da a, an ex apola ion
mus be pe o med. The maximum annual in ensi ies o he e u n pe iods o 20, 25, 30,
50, 75, 100, and 500 yea s we e calcula ed by ex apola ing he pa ame e s acco ding o
he Gumbel o ex eme ype I p obabili y dis ibu ion. Wi h he cu es co esponding o
he 95 h pe cen ile o each e u n pe iod, join IDF cu es o he ci y o Ba celona we e
cons uc ed o bo h he empi ical cu es and he cu es ex apola ed by Gumbel.
Figu e 2 compa es he IDF cu es ob ained using he Fab a Obse a o y da ase and
he new da ase de eloped in he PDISBA using he new ain gauges’ da a. The plo shows
he 10-yea e u n pe iod plo s.
Figu e 2. Compa ison be ween he In ensi y–Du a ion–F equency (IDF) cu es used in he p e ious mas e plans and he
new plan, PDISBA (“Fab a_*”). The maximum and minimum lines we e ob ained using he di e en ain gauges ac oss
he ci y. The selec ed in ensi y (“In ensi y_BCN_2018”) co esponds o he 95% con idence in e al.
Figu e 2.
Compa ison be ween he In ensi y–Du a ion–F equency (IDF) cu es used in he p e ious mas e plans and he
new plan, PDISBA (“Fab a_*”). The maximum and minimum lines we e ob ained using he di e en ain gauges ac oss he
ci y. The selec ed in ensi y (“In ensi y_BCN_2018”) co esponds o he 95% con idence in e al.
As has been s a ed, he selec ed in ensi y o he IDF cu es co esponds o he 95%
con idence in e al o he da a. The blue line in he plo shows he maximum obse ed
in ensi y and he cyan line co esponds o he minimum. The dispe sion co esponds o he
Sus ainabili y 2021,13, 71 5 o 25
25 a ailable ain gauges. I can be obse ed ha , o sho du a ions, he Fab a Obse a o y
IDF cu es o e es ima ed he ain all in ensi y, bu o long du a ions, hey unde es ima ed
he p ecipi a ion.
Figu e 3shows he IDF cu es ob ained by he empi ical me hod o e u n pe iods
equal o o less han 10 yea s, as well as he IDF cu es ob ained by ex apola ion using
he Gumbel dis ibu ion. The o me exhibi s a smoo he shape, due o he ma hema ical
ex apola ion.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 5 o 26
As has been s a ed, he selec ed in ensi y o he IDF cu es co esponds o he 95%
con idence in e al o he da a. The blue line in he plo shows he maximum obse ed
in ensi y and he cyan line co esponds o he minimum. The dispe sion co esponds o
he 25 a ailable ain gauges. I can be obse ed ha , o sho du a ions, he Fab a Obse -
a o y IDF cu es o e es ima ed he ain all in ensi y, bu o long du a ions, hey unde -
es ima ed he p ecipi a ion.
Figu e 3 shows he IDF cu es ob ained by he empi ical me hod o e u n pe iods
equal o o less han 10 yea s, as well as he IDF cu es ob ained by ex apola ion using
he Gumbel dis ibu ion. The o me exhibi s a smoo he shape, due o he ma hema ical
ex apola ion.
Figu e 3. IDF cu es ob ained using he da a om he 1994–2018 pe iod and i ed o he 95% con idence in e al o he
empi ical IDF cu es.
Hye og aphs, designed using syn he ic ain all scena ios, we e cons uc ed using he
al e na ing block me hod [22] and he S-cu es me hod [23]. Analysis o he empo al pa -
e n o he ain all was conduc ed on a selec ion o he ex eme ain all e en s eco ded in
he las 24 yea s. Acco ding o he s udy o he empo al dis ibu ion o he ain, he a e -
age du a ion a ied be ween 160 and 230 min o he di e en cu es. In he al e na ing
blocks hye og aphs, he ails co esponding o he di e ence be ween 160 and 230 min
we e analyzed and inally disca ded; he e o e, a ain all du a ion o 160 min was inally
selec ed. The p ecipi a ion du a ion o he p e ious plans was app oxima ely 60 min [24].
The second pa ame e o be es ablished was he in ensi y peak posi ion in he hye o-
g aph, o which he al e na ing block me hod pe mi ed o ansla e he cen al in ensi y
peak in o de o ad ance o delay i . The analysis was pe o med using he S-cu es S1,
S2, and S3 i ed o he ain gauge da a. I was obse ed ha o sho e e u n pe iods,
he ain showed a cen e ed peak. Fo ains co esponding o e u n pe iods g ea e han
T = 10 yea s, he e was a simila p obabili y o inding he h ee ypes o cu e (S1, S2, and
S3). To conclude which was he mos ha m ul, se e al model uns we e pe o med using
h ee p o o ypes o ain all empo al dis ibu ion. Fo he 10-yea e u n pe iod, i was
obse ed ha a delayed peak esul ed in highe discha ge.
Figu e 3.
IDF cu es ob ained using he da a om he 1994–2018 pe iod and i ed o he 95% con idence in e al o he
empi ical IDF cu es.
Hye og aphs, designed using syn he ic ain all scena ios, we e cons uc ed using he
al e na ing block me hod [
22
] and he S-cu es me hod [
23
]. Analysis o he empo al
pa e n o he ain all was conduc ed on a selec ion o he ex eme ain all e en s eco ded
in he las 24 yea s. Acco ding o he s udy o he empo al dis ibu ion o he ain, he
a e age du a ion a ied be ween 160 and 230 min o he di e en cu es. In he al e na ing
blocks hye og aphs, he ails co esponding o he di e ence be ween 160 and 230 min
we e analyzed and inally disca ded; he e o e, a ain all du a ion o 160 min was inally
selec ed. The p ecipi a ion du a ion o he p e ious plans was app oxima ely 60 min [
24
].
The second pa ame e o be es ablished was he in ensi y peak posi ion in he hye o-
g aph, o which he al e na ing block me hod pe mi ed o ansla e he cen al in ensi y
peak in o de o ad ance o delay i . The analysis was pe o med using he S-cu es S1, S2,
and S3 i ed o he ain gauge da a. I was obse ed ha o sho e e u n pe iods, he
ain showed a cen e ed peak. Fo ains co esponding o e u n pe iods g ea e han T = 10
yea s, he e was a simila p obabili y o inding he h ee ypes o cu e (S1, S2, and S3). To
conclude which was he mos ha m ul, se e al model uns we e pe o med using h ee
p o o ypes o ain all empo al dis ibu ion. Fo he 10-yea e u n pe iod, i was obse ed
ha a delayed peak esul ed in highe discha ge.
Figu e 4shows he inal hye og aph o he selec ed 10-yea e u n pe iod unde he
ac ual condi ions. The e ec o CC was applied o hese alues, and he peak in ensi y was
177.2 mm/h.

Sus ainabili y 2021,13, 71 6 o 25
Sus ainabili y 2021, 13, x FOR PEER REVIEW 6 o 26
Figu e 4 shows he inal hye og aph o he selec ed 10-yea e u n pe iod unde he
ac ual condi ions. The e ec o CC was applied o hese alues, and he peak in ensi y was
177.2 mm/h.
Figu e 4. Design s o m o Ba celona co esponding o a 10-yea e u n pe iod.
3.2. S anda d Yea o CSO E alua ion
As men ioned in he in oduc ion, a con inuous modeling o a one-yea du a ion o
ain all is equi ed o e alua e he educ ion o CSOs a e he implemen a ion o adap a-
ion measu es. The ypical indica o o e alua e he pe o mance o CSO measu es is using
he numbe o e en s pe yea [25]. All o he a ailable ime se ies we e analyzed in e ms
o o al p ecipi a ion, numbe o e en s, and dis ance be ween e en s. The yea 2009 was
selec ed as he mos ep esen a i e o he se ies. The o al ain all was 520 mm and he
numbe o e en s was 60. Figu e 5 shows he da a. The plo only includes non-ze o alues;
hence, he ho izon al axis is no a con inuous ime line.
Figu e 5. Time se ies used o e alua e he impac o combined sewe o e lows (CSO), wi h a o al
du a ion o one yea .
Figu e 4. Design s o m o Ba celona co esponding o a 10-yea e u n pe iod.
3.2. S anda d Yea o CSO E alua ion
As men ioned in he in oduc ion, a con inuous modeling o a one-yea du a ion o
ain all is equi ed o e alua e he educ ion o CSOs a e he implemen a ion o adap a ion
measu es. The ypical indica o o e alua e he pe o mance o CSO measu es is using he
numbe o e en s pe yea [
25
]. All o he a ailable ime se ies we e analyzed in e ms
o o al p ecipi a ion, numbe o e en s, and dis ance be ween e en s. The yea 2009 was
selec ed as he mos ep esen a i e o he se ies. The o al ain all was 520 mm and he
numbe o e en s was 60. Figu e 5shows he da a. The plo only includes non-ze o alues;
hence, he ho izon al axis is no a con inuous ime line.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 6 o 26
Figu e 4 shows he inal hye og aph o he selec ed 10-yea e u n pe iod unde he
ac ual condi ions. The e ec o CC was applied o hese alues, and he peak in ensi y was
177.2 mm/h.
Figu e 4. Design s o m o Ba celona co esponding o a 10-yea e u n pe iod.
3.2. S anda d Yea o CSO E alua ion
As men ioned in he in oduc ion, a con inuous modeling o a one-yea du a ion o
ain all is equi ed o e alua e he educ ion o CSOs a e he implemen a ion o adap a-
ion measu es. The ypical indica o o e alua e he pe o mance o CSO measu es is using
he numbe o e en s pe yea [25]. All o he a ailable ime se ies we e analyzed in e ms
o o al p ecipi a ion, numbe o e en s, and dis ance be ween e en s. The yea 2009 was
selec ed as he mos ep esen a i e o he se ies. The o al ain all was 520 mm and he
numbe o e en s was 60. Figu e 5 shows he da a. The plo only includes non-ze o alues;
hence, he ho izon al axis is no a con inuous ime line.
Figu e 5. Time se ies used o e alua e he impac o combined sewe o e lows (CSO), wi h a o al
du a ion o one yea .
Figu e 5.
Time se ies used o e alua e he impac o combined sewe o e lows (CSO), wi h a o al
du a ion o one yea .
Sus ainabili y 2021,13, 71 7 o 25
3.3. E ec s o Clima e Change on Ex eme and Mode a e Rain all E en s in Ba celona
The e ec s o clima e change on he u ban hyd ological cycle due o a po en ial
inc ease in ex eme ain all episodes should be conside ed in o de o p e en u u e
p oblems in u ban d ainage sys ems. IDF cu es a e commonly used o design di e en
ypes o hyd aulic s uc u es in he ield o u ban d ainage. IDF cu es could be al e ed
due o a p esumed inc ease in ex eme in ense ain all caused by clima e change. A gene al
o e iew abou his issue was p esen ed by Willems e al. [7].
Con a y o wha happens in he high-o mid-la i ude egions o he wo ld, in which
an inc ease in o al p ecipi a ion has been epo ed [
26
], se e al s udies ha e shown a
dec easing dominan end du ing he las decades in he Medi e anean a ea. Indeed, he
egional clima e change assessmen epo p epa ed by esea che s om he CLIVAR-Spain
ne wo k [
27
] concluded ha he annual ain all in he Ibe ian Peninsula in he las h ee
decades has dec eased signi ican ly compa ed o he 1960s and 1970s. Despi e his dec ease
in o al p ecipi a ion, an inc ease in ex eme p ecipi a ion has been obse ed. Simula ions
o he 21s cen u y ypically use clima e models o p edic signi ican dec eases in o al
p ecipi a ion in he Medi e anean a ea [
28
], al hough some p ojec ions o egional models
ha e shown a possible inc ease in o en ial ain all [
28
,
29
], wi h sho e and mo e in ense
p ecipi a ion episodes.
Acco ding o he V epo on clima e change o he In e go e nmen al Panel on
Clima e Change (IPCC), known as AR5 in English, in some a eas o he wo ld, he equency,
in ensi y, and/o amoun o s ong p ecipi a ion will inc ease, bu , due o high unce ain y,
local de ailed s udies a e equi ed [28,30].
The assessmen o he po en ial in luence o clima e change on he in ensi y o ex eme
ain all is e y in e es ing in he Medi e anean a ea, especially in densely popula ed u ban
a eas wi h complex sewe sys ems, ulne able in as uc u es, and u ban se ices in he
case o ex eme ain all episodes.
In Ba celona, he i s e alua ion o he possible in luence o clima e change on ex eme
p ecipi a ion was ca ied ou by Rod íguez e al. [
21
]. The au ho s analyzed u u e se ies
o daily p ecipi a ion o he pe iod o 2000–2099, ob ained h ough i e gene al ci cula ion
models unde ou u u e special epo s on emissions scena ios (SRES) clima e scena ios o
g eenhouse gas emissions (A1B, A2, B1, and B2) and applying he s a is ical downscaling
me hod o six ain all s a ions loca ed in he me opoli an a ea o Ba celona.
F om hese se ies, he u u e changes o be expec ed in he IDF cu es o Ba celona,
o each clima ic scena io conside ed, we e calcula ed. To achie e his, wo di e en ime
educ ion (o downscaling) me hods we e used. In he i s , i was assumed ha he ela i e
a ia ions o p ecipi a ion be ween he p esen and he u u e a e he same o any du a ion
less han 24 h. Meanwhile, o he second, which was based on he scale p ope ies o
p ecipi a ion, he es ima es o hese a ia ions depend on he du a ion.
In pa icula , in his s udy, he clima e change ac o s c
we e de ined by hou ly
in ensi y o di e en empo al ho izons, such as he a io be ween he ain all in ensi y
wi h a e u n pe iod Tand o a ce ain du a ion and he co esponding ain all in ensi y
o he u u e wi h he same Tand [31,32]:
c =I( ,T) u u
I( ,T)p esen
(1)
These ypes o alues can be applied di ec ly o he in ensi ies o he design p ojec
s o m, ob aining a new ain all hye og aph o u u e scena ios.
The empo al downscaling echnique, based on he ac al p ope ies o ain, was
applied up o a du a ion o 1 h, al hough clima ic change ac o s we e applied o he 5 min
in ensi ies as a be e app oxima ion a ailable on he da e o he s udy. Fo he pe iod o
2066–2099, unde scena ios A1B, A2, B1, and B2, he clima e change ac o s a ied om
1.02 o 1.20 o e u n pe iods be ween 1 and 500 yea s, hose o scena io B2 gene ally
being he g ea es [21].
Sus ainabili y 2021,13, 71 8 o 25
Rep esen a i e concen a ion pa hway (RCP) scena ios a e he new se o scena ios
de eloped by he IPCC o he Fi h Assessmen Repo (AR5) [
26
,
33
]. The pa hways
desc ibe ou possible clima e u u es based on adia i e o cing SRES.
Recen ly, in he con ex o he H2020 RESCCUE p ojec (Resilience o Cope wi h
Clima e Change in U ban A eas–A Mul i-Sec o ial App oach Focusing on Wa e ) (www.
esccue.es), new clima ic p ojec ions conce ning se e al clima e a iables ( empe a u e,
p ecipi a ion, sea le el ise, hea wa e, d ough , e c.) we e de eloped o se e al Eu opean
ci ies (Ba celona, B is ol, and Lisbon) [34].
Fo he case o Ba celona and he p ecipi a ion a iable, he his o ical se ies o 20
ipping bucke plu iome e s o he BCASA ain gauge ne wo k wi h a esolu ion o 5 min
we e used, such as he da a om he ERA-In e im eanalysis and he o 10 clima ic CMIP5
models p oposed by he V epo o he ICPP [
34
]. The p ojec ions conce ning 20 ain all
ime se ies co esponding o he ain all gauge s a ions in Ba celona we e achie ed h ough
a s a is ical wo-s ep analogue/ eg ession downscaling me hod success ully implemen ed
in o he ecen s udies in Spain [
35
,
36
]. The gene al a mosphe ic ci cula ion models we e
o ced by RCPs 4.5 and 8.5, and p e iously, hey we e alida ed o he his o ical con ol
pe iod o 1976–2005.
The analysis o ex eme ain all episodes on he plu iome ic ain all se ies ( o he pe-
iod o 2071–2100) o he mos ep esen a i e plu iome e o he BCASA ain gauge ne wo k
( he Facul y o Physics S a ion) allowed o achie e new maximum ain all in ensi ies and
new alues o clima e change coe icien s in he ange be ween 1.07 and 1.26, depending
on he equency and du a ion o each maximum ain all in ensi y (
Table 1
) [
37
,
38
]. These
alues ep esen he 50 h pe cen ile o he esul s ob ained by an ensemble s a egy consid-
e ing all o he ou pu s p o ided by he 10 gene al a mosphe ic ci cula ion models o ced by
RCPs 4.5 and 8.5 in o de o ake in o accoun he unce ain y ela ed o model/ un selec ion
and he RCP scena io conside ed. The new ange o clima e change coe icien s achie ed
in his s udy is qui e simila o he ange achie ed by
Rod iguez e al. [21]
, con i ming he
same end o he p ojec ions abou ex eme ain all e en s in Ba celona, no wi hs anding
he use o di e en gene al a mosphe ic ci cula ion models and di e en clima e change
scena ios (SRES and RCPs) ela ed o he IV and V epo s o ICCP.
Table 1.
Clima e change ac o s o he ime pe iod 2071–2100, including di e en e u n pe iod sand
du a ions up o 60 min o he ci y o Ba celona (Facul a d’Es acióde Física).
Re u n
Pe iod
Du a ion
5 10 15 20 25 30 35 40 45 50 55 60
1 yea
1.16
1.18 1.17
1.14
1.13 1.11
1.10
1.09 1.09 1.10 1.10 1.11
2 yea s
1.15
1.18 1.17
1.14
1.13 1.11
1.10
1.09 1.09 1.10 1.10 1.11
5 yea s
1.13
1.17 1.16
1.15
1.12 1.09
1.10
1.10 1.12 1.11 1.11 1.10
10 yea s
1.11
1.19 1.19
1.17
1.14 1.10
1.11
1.11 1.12 1.11 1.11 1.12
25 yea s
1.09
1.18 1.21
1.19
1.16 1.12
1.12
1.11 1.13 1.11 1.11 1.13
50 yea s
1.08
1.18 1.22
1.2
1.16 1.12
1.13
1.11 1.13 1.11 1.11 1.13
100 yea s
1.07
1.18 1.24
1.21
1.17 1.13
1.14
1.12 1.13 1.12 1.12 1.14
500 yea s
1.07
1.17 1.26
1.22
1.18 1.14
1.15
1.13 1.14 1.13 1.13 1.15
The clima ic change coe icien s ob ained o he u u e ime pe iod o 2071–2100 and
he e u n pe iods o T1, T10, T50, T100, and T500 we e applied di ec ly o he p ojec s o ms
p oposed in he PDISBA, in o de o ake in o accoun he e ec s o clima e change on he
IDF cu es, and consequen ly, on he d ainage capaci y o he ci y and he socioeconomic
impac s po en ially gene a ed om o he se ices.
The RESCCUE p ojec also p o ided his o ical and u u e ain all ime se ies o be
used as inpu in he u ban d ainage and sea wa e quali y models. Ten di e en clima e
Sus ainabili y 2021,13, 71 9 o 25
models we e used o p o ide 5 min downscaled ain all ime se ies in Ba celona, based
on his o ical (1976–2005) and u u e (2071–2100) pe iod simula ions o ced by bo h RCPs
8.5 and 4.5. The achie ed esul s show ha he simula ed annual ain all olume o he
his o ical 1997–2005 pe iod and he numbe o annual ain all e en s we e simila o he
obse ed mean alues, while he u u e simula ed annual ain all olumes and annual
numbe o e en s sligh ly dec eased compa ed o he his o ical simula ion pe iod.
Wi h hese analyses, i can be concluded ha he u u e ain all scena ios ele an o
he analysis o he impac s o CSOs on he sea wa e quali y o Ba celona a e unlikely o
ge wo se. The e o e, u u e con inuous ain all ime se ies wi h en i onmen al design
pu poses we e conside ed o be he same as he his o ical ain alls [
38
]. The a ailable
clima e change ac o s we e o du a ions o 5–60 min. In o de o be able o apply his
ans o ma ion o du a ions abo e 60 min, he end was p opaga ed o each o he e u n
pe iods.
While he a ailable clima e change ac o s did no co espond exac ly o he pe iod
calcula ed by he IDF (1994–2018), hey we e used as a e e ence o ob ain he o ecas o
he IDF cu es, including he in luence o clima e change. The u u e ain all o he e u n
pe iods o T1, T5, T10, T25, T100, and T500 was also calcula ed.
Figu e 6shows a compa ison be ween he design ain all o a 10-yea e u n pe iod
calcula ed wi h ain all da a up o 2018 and he o ecas o he pe iod 2071–2100 acco ding
o he clima e change coe icien s. The blue is he cu en ain, while ed indica es he
u u e inc ease in ain all.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 9 o 26
on his o ical (1976–2005) and u u e (2071–2100) pe iod simula ions o ced by bo h RCPs
8.5 and 4.5. The achie ed esul s show ha he simula ed annual ain all olume o he
his o ical 1997–2005 pe iod and he numbe o annual ain all e en s we e simila o he
obse ed mean alues, while he u u e simula ed annual ain all olumes and annual
numbe o e en s sligh ly dec eased compa ed o he his o ical simula ion pe iod.
Wi h hese analyses, i can be concluded ha he u u e ain all scena ios ele an o
he analysis o he impac s o CSOs on he sea wa e quali y o Ba celona a e unlikely o
ge wo se. The e o e, u u e con inuous ain all ime se ies wi h en i onmen al design
pu poses we e conside ed o be he same as he his o ical ain alls [38]. The a ailable cli-
ma e change ac o s we e o du a ions o 5–60 min. In o de o be able o apply his ans-
o ma ion o du a ions abo e 60 min, he end was p opaga ed o each o he e u n
pe iods.
While he a ailable clima e change ac o s did no co espond exac ly o he pe iod
calcula ed by he IDF (1994–2018), hey we e used as a e e ence o ob ain he o ecas o
he IDF cu es, including he in luence o clima e change. The u u e ain all o he e u n
pe iods o T1, T5, T10, T25, T100, and T500 was also calcula ed.
Figu e 6 shows a compa ison be ween he design ain all o a 10-yea e u n pe iod
calcula ed wi h ain all da a up o 2018 and he o ecas o he pe iod 2071–2100 acco d-
ing o he clima e change coe icien s. The blue is he cu en ain, while ed indica es he
u u e inc ease in ain all.
Figu e 6. Compa ison o cu en and u u e design ain all conside ing clima e change o T = 10
yea s.
4. Hyd aulic Model Cons uc ion
A model is a ma hema ical ep esen a ion o phenomena o p ocesses ha occu in
eali y in o de o analyze hem, o desc ibe and explain hei cu en beha io , and hus
o p edic hei u u e beha io unde o he condi ions. In he case o sewe sys ems, he
s uc u e o he model is buil a ound h ee basic sys ems: he pipeline ne wo k, he ea -
men plan s, and he ecei ing en i onmen . These h ee sys ems a e comple ely in e e-
la ed, so hey need o be s udied and managed oge he .
Figu e 6.
Compa ison o cu en and u u e design ain all conside ing clima e change o
T = 10 yea s.
4. Hyd aulic Model Cons uc ion
A model is a ma hema ical ep esen a ion o phenomena o p ocesses ha occu in
eali y in o de o analyze hem, o desc ibe and explain hei cu en beha io , and hus
o p edic hei u u e beha io unde o he condi ions. In he case o sewe sys ems,
he s uc u e o he model is buil a ound h ee basic sys ems: he pipeline ne wo k, he
ea men plan s, and he ecei ing en i onmen . These h ee sys ems a e comple ely
in e ela ed, so hey need o be s udied and managed oge he .
Sus ainabili y 2021,13, 71 16 o 25
he e ec s o he ne wo k’s aging is di ec ly linked o he loss o quali y o al e na i e wa e
esou ces due o he pollu ion o he unde g ound aqui e . The Ba celona Ci y Council
cu en ly sa is ies municipal wa e needs ha do no equi e d inking quali y by u ilizing
g oundwa e . Op imum ne wo k main enance he e o e di ec ly impac s he ese es o
al e na i e wa e esou ces.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 16 o 26
Figu e 11. S uc u al measu es planned o mi iga ion in he In eg al D ainage Mas e Plan o Ba celona (PDISBA).
5.3.3. Main enance as a Basic Value o Sus ainabili y
All o hese new in es men s equi e a sus ainable conse a ion plan o he sewe -
age and d ainage asse s ha conside s he e ec s o aging and he pace o eplacemen .
One o he e ec s o he ne wo k’s aging is di ec ly linked o he loss o quali y o al e na-
i e wa e esou ces due o he pollu ion o he unde g ound aqui e . The Ba celona Ci y
Council cu en ly sa is ies municipal wa e needs ha do no equi e d inking quali y by
u ilizing g oundwa e . Op imum ne wo k main enance he e o e di ec ly impac s he e-
se es o al e na i e wa e esou ces.
A p esen , he Ci y Council epai s he sewe sys em a an a e age a e o 7.2
km/yea , which means a eno a ion a e o 0.47%. Ne wo k main enance e o s he e o e
need o be doubled o each op imum main enance le els om he poin o iew o asse
sus ainabili y and p ese ing al e na i e wa e esou ces.
The Conse a ion and Main enance sec ion in he PDISBA s a es ha op imum, sus-
ainable main enance means mo ing owa d a eno a ion a e o 1%, i.e., epai ing 16 km
a yea . This inc eased epai a e would la en he aging cu e and ensu e an op imum
se ice le el a minimum cos , hus helping o main ain and p ese e he quali y o
g oundwa e ese es.
Figu e 12 shows he cu en le el o damage o Ba celona’s sewe age sys em, le els
4 and 5 being ully damaged pipes. Ten pe cen o he cu en ne wo k is no able o p o-
ide he equi ed le el o se ice.
Figu e 11. S uc u al measu es planned o mi iga ion in he In eg al D ainage Mas e Plan o Ba celona (PDISBA).
A p esen , he Ci y Council epai s he sewe sys em a an a e age a e o 7.2 km/yea ,
which means a eno a ion a e o 0.47%. Ne wo k main enance e o s he e o e need o be
doubled o each op imum main enance le els om he poin o iew o asse sus ainabili y
and p ese ing al e na i e wa e esou ces.
The Conse a ion and Main enance sec ion in he PDISBA s a es ha op imum, sus-
ainable main enance means mo ing owa d a eno a ion a e o 1%, i.e., epai ing 16
km a yea . This inc eased epai a e would la en he aging cu e and ensu e an op i-
mum se ice le el a minimum cos , hus helping o main ain and p ese e he quali y o
g oundwa e ese es.
Figu e 12 shows he cu en le el o damage o Ba celona’s sewe age sys em, le els 4
and 5 being ully damaged pipes. Ten pe cen o he cu en ne wo k is no able o p o ide
he equi ed le el o se ice.
5.4. Residual Risk Analysis
The p oposed measu es in he plan a e no able o comple ely elimina e he lood isk,
so he emainde o he isk is e alua ed unde di e en condi ions. Using he esidual isk,
i will be possible, in he ollowing, o es ima e he isk managemen bene i .
5.4.1. Ex ao dina y Hyd ological Scena ios o Flood Analysis
Fo he syn he ic ain all e en o a 10-yea e u n pe iod wi h clima e change, i is
e i ied ha he objec i es o p o ec ion o ope a ion o he ne wo k in low condi ions and
o a oid loods ha e no been able o each 100%, al hough he educ ions wi h espec o
diagnoses a e e y impo an . 98% o loods a e a oided and isk is p ac ically comple e
o his e u n pe iod (Table 3).

Sus ainabili y 2021,13, 71 17 o 25
Sus ainabili y 2021, 13, x FOR PEER REVIEW 17 o 26
Figu e 12. Le el o damage in he exis ing ne wo k. PDISBA includes Le el 4 and 5 ixing.
5.4. Residual Risk Analysis
The p oposed measu es in he plan a e no able o comple ely elimina e he lood
isk, so he emainde o he isk is e alua ed unde di e en condi ions. Using he esid-
ual isk, i will be possible, in he ollowing, o es ima e he isk managemen bene i .
5.4.1. Ex ao dina y Hyd ological Scena ios o Flood Analysis
Fo he syn he ic ain all e en o a 10-yea e u n pe iod wi h clima e change, i is
e i ied ha he objec i es o p o ec ion o ope a ion o he ne wo k in low condi ions
and o a oid loods ha e no been able o each 100%, al hough he educ ions wi h espec
o diagnoses a e e y impo an . 98% o loods a e a oided and isk is p ac ically comple e
o his e u n pe iod (Table 3).
Table 3. Compa ison o he imp o emen in he hyd aulic ope a ion be ween he diagnosis and
he o ecas s o T = 10 yea s wi h clima e change (me e s I% o ne wo k).
S age F ee Flow
Unde
P essu e
0.5 m
Unde g ound
On he
G ound
Diagnosis wi h clima e
change
672,738.99
(35.68%)
623,618.43
(33.07%)
65,936.03
(3.50%)
523,364.89
(27.76%)
Fo ecas 1 lood (SUDSs) 780,700.27
(41.37%)
613,473.03
(32.51%)
62,135.15
(3.29%)
430,682.16
(22.82%)
Fo ecas 2 lood (SUDSs +
s uc u es)
1,580,857.56
(82.96%)
263,066.76
(13.81%)
14,301.25
(0.75%)
47,244.55
(2.48%)
I is also impo an o no e ha he g ea imp o emen in he ope a ion o he ne wo k
be ween he p ognosis 1 scena io and he p ognosis 2 scena io was no caused exclusi ely
due o he planned s uc u al ac ions, bu pa ly hanks o he hypo hesis conside ing ha
he loods in he seconda y ne wo k a e sol ed by inc easing he capaci y o he seconda y
ne wo k.
The ope a ion o he ne wo k was also analyzed, bu only o he main ne wo k in
o de o elimina e he e ec o he imp o emen in unc ionali y due o he inc ease in he
capaci y o he seconda y ne wo k in he o ecas scena io 2. Thus, i was e i ied ha
coun ing he o al o he ne wo k by T10 in scena io 1 esul ed in a 780 km ee low ne -
Figu e 12. Le el o damage in he exis ing ne wo k. PDISBA includes Le el 4 and 5 ixing.
Table 3.
Compa ison o he imp o emen in he hyd aulic ope a ion be ween he diagnosis and he
o ecas s o T = 10 yea s wi h clima e change (me e s I% o ne wo k).
S age F ee Flow Unde P essu e 0.5 m
Unde g ound On he G ound
Diagnosis wi h
clima e change
672,738.99
(35.68%)
623,618.43
(33.07%)
65,936.03 (3.50%)
523,364.89
(27.76%)
Fo ecas 1 lood
(SUDSs)
780,700.27
(41.37%)
613,473.03
(32.51%)
62,135.15 (3.29%)
430,682.16
(22.82%)
Fo ecas 2 lood
(SUDSs +
s uc u es)
1,580,857.56
(82.96%)
263,066.76
(13.81%)
14,301.25 (0.75%) 47,244.55 (2.48%)
I is also impo an o no e ha he g ea imp o emen in he ope a ion o he ne wo k
be ween he p ognosis 1 scena io and he p ognosis 2 scena io was no caused exclusi ely
due o he planned s uc u al ac ions, bu pa ly hanks o he hypo hesis conside ing ha
he loods in he seconda y ne wo k a e sol ed by inc easing he capaci y o he seconda y
ne wo k.
The ope a ion o he ne wo k was also analyzed, bu only o he main ne wo k in
o de o elimina e he e ec o he imp o emen in unc ionali y due o he inc ease in
he capaci y o he seconda y ne wo k in he o ecas scena io 2. Thus, i was e i ied
ha coun ing he o al o he ne wo k by T10 in scena io 1 esul ed in a 780 km ee low
ne wo k, while in scena io 2, his inc eased o 1580 km (an imp o emen o mo e han
double). In con as , by coun ing only he main ne wo k, he imp o emen was smalle ,
going om 227 o 377 km o he ne wo k unc ioning unde he ee low condi ion.
5.4.2. O dina y Hyd ological Scena io o CSO Analysis
Fo each o he o ecas scena ios ( o ecas 1 ela ed o SUDS implemen a ion and
o ecas 2 ela ed o implemen a ion o SUDSs + s uc u al measu es), he yea 2009 was
simula ed as a e age ain all o ob ain he olumes and he pollu ion caused by he
o e low poin s. In addi ion, a 3D ma ine model simula ed he wa e quali y o he ba hing
Sus ainabili y 2021,13, 71 18 o 25
wa e s in Ba celona du ing he ba hing season o 2009. The model aimed o es ima e he
impac o spills on ba hing a eas in e ms o wa e quali y s anda ds.
The esul s p esen ed he e (Table 4) allow o he conclusion ha he objec i e ega d-
ing he educ ion o pollu ion discha ged by bo h he Besòs i e and he po was achie ed,
al hough, in his case, he educ ion was smalle due o he ac ha many spills a e no
ela ed o he main CSO poin s.
Table 4.
Pe cen ages o he pollu ion educ ion discha ged in he wo CSO p ognosis scena ios wi h
espec o diagnosis.
S age Ou all A ea Volume SS BOD5 NH4+
Fo ecas 1
(SUDSs)
Po 19% 19% 19% 19%
Beaches 37% 37% 37% 37%
Besòs Ri e 23% 23% 23% 23%
To al 28% 28% 28% 28%
Fo ecas 2
(SUDSs +
s uc u es)
Po 37% 67% 66% 57%
Beaches 65% 74% 73% 71%
Besòs Ri e 58% 71% 70% 66%
To al 52% 71% 70% 64%
The aim o he adap a ion measu es o he en i onmen al impac was o ocus on
he educ ion in he pollu an discha ge and he impac on he ba hing wa e egula ions.
Figu e 13 shows he wa e quali y impac o he CSOs be o e he plan and a e he
applica ion o all measu es.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 19 o 26
Figu e 13. Pe cen age o ime wi h low-quali y ba hing wa e s o Ba celona’s sho eline due o
CSOs. The esul s a e ou lined o e e y beach in he ci y.
5.5. 10-Yea Re u n Pe iod Damage Compu a ion
The esidual isk and an e ac ual isk we e bo h ans o med in o damage ollowing
he lood damage model de eloped in PDISBA. This s ep is necessa y o be able o pe o m
CBA. CBA is no used o ank measu es; ins ead, i is used o jus i y he p oposed in es -
men plan. The esul s a e p esen ed in Table 5.
Table 5. Flood and en i onmen damage o he di e en scena ios using he 10-yea e u n pe-
iod e en s. The concep o quan i y he lood impac is he expec ed annual damage (EAD).
Damage BAU (Business as Usual) SUDSs SUDSs + S uc u es
P ope y €44 million €23 million €2 million
Vehicles €4 million €2 million €0.34 million
Business in e up ion €13 million €7 million €0.73 million
En i onmen al €39 million €27 million €17 million
To al €100 million €59 million €20 million
6. Financial Analysis and In es men Planning
In his sec ion, he damage is ela ed o he in es men s, while inancial analysis is
applied o decide he alue o he p oposed mi iga ion measu es.
6.1. Summa ized In aes uc u e Cons uc ion Budge
Table 6 shows he adap a ion measu e budge , which o als €1422 million. In con as ,
he in es men associa ed wi h he en i onmen al impac (i.e., CSOs) is €206 million;
hence, he budge ela ed o lood managemen is €1226 million. The cos s we e es ima ed
h ough he p ices da abase o he Ci y Council, including all o he ci il wo ks de eloped
o e he las yea s. The o al olume o he planned s o m anks was abo e 1 million cubic
me e s, he cos pe cubic me e being app oxima ely 0.5 €/m3.
Figu e 13.
Pe cen age o ime wi h low-quali y ba hing wa e s o Ba celona’s sho eline due o CSOs.
The esul s a e ou lined o e e y beach in he ci y.
5.5. 10-Yea Re u n Pe iod Damage Compu a ion
The esidual isk and an e ac ual isk we e bo h ans o med in o damage ollowing he
lood damage model de eloped in PDISBA. This s ep is necessa y o be able o pe o m CBA.
Sus ainabili y 2021,13, 71 19 o 25
CBA is no used o ank measu es; ins ead, i is used o jus i y he p oposed in es men
plan. The esul s a e p esen ed in Table 5.
Table 5.
Flood and en i onmen damage o he di e en scena ios using he 10-yea e u n pe iod
e en s. The concep o quan i y he lood impac is he expec ed annual damage (EAD).
Damage BAU (Business as
Usual) SUDSs SUDSs + S uc u es
P ope y €44 million €23 million €2 million
Vehicles €4 million €2 million €0.34 million
Business in e up ion €13 million €7 million €0.73 million
En i onmen al €39 million €27 million €17 million
To al €100 million €59 million €20 million
6. Financial Analysis and In es men Planning
In his sec ion, he damage is ela ed o he in es men s, while inancial analysis is
applied o decide he alue o he p oposed mi iga ion measu es.
6.1. Summa ized In aes uc u e Cons uc ion Budge
Table 6shows he adap a ion measu e budge , which o als
€
1422 million. In con as ,
he in es men associa ed wi h he en i onmen al impac (i.e., CSOs) is
€
206 million; hence,
he budge ela ed o lood managemen is
€
1226 million. The cos s we e es ima ed h ough
he p ices da abase o he Ci y Council, including all o he ci il wo ks de eloped o e he
las yea s. The o al olume o he planned s o m anks was abo e 1 million cubic me e s,
he cos pe cubic me e being app oxima ely 0.5 €/m3.
Table 6. Summa y o he o al in es men in mi iga ion measu es de eloped in PDISBA.
Flood mi iga ion
measu es in he p ima y
ne wo k
S o m Tanks: 38 Uni s Equi alen o 1,017,400 m3€427,760,142
P ima y ne wo k
Replacemen o exis ing
condui s €13,261,471
New condui s €67,819,399
Hyd aulic s uc u es (wei s, spillways, and ga es) €6,643,490
To al €515,484,502 36%
CSO mi iga ion
measu es Fi s lush anks: 15 uni s, equi alen o 525,500 m3€206,248,046 15%
SUDS 182 Ha
In il a ion ench €85,509,743
Di e sion basins: 10 uni s, equi alen o 128,700 m3€12,870,000
G een oo €114,752,240
To al €213,131,983 15%
New gullies To al €83,520,104 6%
Seconda y ne wo k To al €208,005,077 15%
Ne wo k ehabili a ion To al €195,891,672 14%
TOTAL €1,422,281,384 100%
The SUDS in es men co esponds o 15% o he o al budge and i s de elopmen
will be in pa allel o o he u ban ci il wo ks.
Sus ainabili y 2021,13, 71 20 o 25
6.2. In es men Plan
The o al budge o he measu es planned in he PDISBA is app oxima ely
€
1500
million. The impac o his in es men on he economy o he ci y o ces o de elop an
in es men plan, easonable o he capabili ies o he Ci y Council. The ime span used in
he inancial analysis was 20 yea s o he implemen a ion o measu es and 80 yea s o
he li e cycle o he in as uc u es. The esidual alue was conside ed o compu e he ne
p esen alue (NPV) and he in e nal a e o e u n (RR) on in es men .
Table 7shows he planned in es men a e and compa es i wi h he ac ual a es. The
impac on he local economy is clea , and e ol es om an in es men a e o
€
14 million o
a new one o €45 million.
Table 7. In es men s a es in he nex 20 yea s o de elop he measu es planned in he PDISBA.
Budge Name To al Planed In es men
Ra e
Ac ual In es men
Ra e
Flood isk
managemen
in as uc u es
€500 million €25 million/yea €mllion/yea
CSO in as uc u es €200 million €10 million/yea €0 million/yea
SUDSs €200 million U ban planning U ban planning
Seconda y ne wo k €284 million U ban planning U ban planning
Rehabili a ion €195 million €9.6 million/yea €4.3 million/yea
6.3. In es men Ra ionaliza ion and Sus ainabili y
The o e all PDISBA budge , including he sus ainable u ban d ainage sys ems, con-
se a ion measu es, and ac ions o expand and imp o e he sewe age and d ainage sys em,
s ands a
€
1.4 billion. Tha is di ided in o
€
700 million o isk managemen and en i on-
men al p o ec ion measu es and
€
700 million on he local ne wo k and sus ainable u ban
d ainage sys ems. The budge is equi alen o app oxima ely 34% o he sys em’s he i age
alue, calcula ed a
€
4.6 billion. To pu i ano he way, he a e age age o Ba celona’s sew-
e age and d ainage sys em is 69 yea s, and i will equi e an in es men o app oxima ely
one hi d o i s asse alue o ackle he challenges o he nex 80 yea s in i s li espan. In
gene al e ms, he in es men plan, which s ems om he PDISBA’s o e all budge , means
an in es men a e o €175 million e e y 10 yea s.
The Ci y Council is cu en ly wo king on he block ela ing o in es men in isk
managemen and adap ing i o clima e change in he mos ulne able neighbo hoods by
means o he ollowing speci ic ac ions in he nex six yea s:
•
Di ision o he la ge A . de la Diagonal in e cep o , in he inal egula ed s e ch
be ween Ca e de Gi ona and Passeig de San Joan, o de end and p o ec he lowe
pa o G àcia, a ound he s ee s o Gi ona and Bailen—wi h an app oxima e budge
o €8 million.
•
The hi d phase o he A . Pa al
·
lel-Ca e Vila i Vila d ainage sha , in he i s
s age o Ca e Vila i Vila, o he de ense and p o ec ion o he neighbo hoods in he
con luence o Ciu a Vella, he lowe pa o Eixample Esque e, and Poble Sec—wi h
an app oxima e budge o €21 million.
•
Unde g ound egula ion ank o he ainwa e om he A . de P im d ainage
sha , o he de ense and p o ec ion o he La Sag e a a ea and he Besòs Ma esme
neighbo hoods—wi h an app oxima e budge o €55 million.
The e o e,
€
84 million—96% o he in es men en isaged unde he PDISBA in he
nex 10 yea s on he isk managemen and adap a ion o clima e change block—has al eady
been in es ed o he nex six yea s
Sus ainabili y 2021,13, 71 21 o 25
6.4. Cos –Bene i Analysis (CBA)
Due o he di e en ime spans and li e cycle du a ions o he in as uc u es planned,
he equi alen annual annui y (EAA) o he NPV was used o pe o m he CBA, labeled
as he annual equi alen p esen alue (AEPV). The a e o in e es used o he inancial
compu a ion was 1.23% [
42
], and he pe iod conside ed was 80 yea s, wi h an implemen-
a ion pe iod o 20 yea s. Fo he s uc u al measu es, he li e cycle was assumed o be
80 yea s, and o he SUDSs, 20 yea s was assumed. Meanwhile, he g een oo li e was
expec ed o be 70 yea s. The bene i was compu ed using he a oided damage, e alua ed
as he di e ence in he EAD [43] o he di e en scena ios.
The cos s used o he CBA included he implan a ion o measu es and he ope a ion
and managemen cos as well. In he case o s uc u es wi h smalle ime spans han he
analysis pe iod, ehabili a ion o e u bishmen was included in he cos .
As men ioned in he in oduc ion, he complexi y o he in e ac ions be ween manage-
men measu es did no pe mi o compu e hei e ec s independen ly. Mo eo e , i was
no possible o compu e he e ec o all combina ions; hence, wo g oups we e de ined as
sequen ial s eps:
1.
SUDS de elopmen : This scena io assumes ha all he SUDSs a e implemen ed in he
ci y.
2.
SUDSs + s uc u al measu es: This scena io occu s a e he p e ious one, in which
SUDSs a e inished and hen he s uc u al measu es a e implemen ed.
The Figu e 14 shows he esul s o he CBA when lood damage was conside ed. In
he ac ual scena io (i.e., business as usual (BAU)), he EAD was
€
63 million. A e applying
he SUDS plan, he EAD was educed o
€
39 million, wi h a cos o
€
10 million and a
bene i o €22 million.
Sus ainabili y 2021, 13, x FOR PEER REVIEW 23 o 27
Figu e 14. Resul s o he CBA o he isk managemen plan conside ing only he lood damage. AEE, annual equi alen
annui y; AEPV, annual equi alen p esen alue; EAD, expec ed annual damage.
When he s uc u al measu es we e applied, he EAD educed o €14 million, bu he
o al cos o he plan ose o €22 million pe yea . When he en i onmen damage was
analyzed o he CSOs, he annual damage was €4 million, and a e he SUDS plan, i
educed o €3 million/yea , and a e he s uc u al measu es ( i s lush anks), i educed
o €2.2 million. Figu e 15 shows hese esul s.
Figu e 15. Resul s o he CBA o he isk managemen plan conside ing only he en i onmen al damage.
The impac o SUDSs on lood and en i onmen al damage we e added, and he inal
esul s we e hen hen an SUDS implemen a ion cos o €10 million; when adding bo h
bene i s, he ne bene i was €32 million, which is he e o e he mos success ul measu e
in he plan. Howe e , o o e come i s limi a ion in e ms o impac , s uc u al measu es
a e manda o y.
BAU (Bussiness
As Usual) SUDS SUDS +
S uc u al
Annual EAD 63108344 39362159 14086518
Cos 9918794 22392823
AEE A oided damage 23746185 49021826
Bene i 32474983 57750624
AEE ne bene i 22556189 35357801
0
10
20
30
40
50
60
70
AEPV
(M€/any)
BAU
(Bussiness
As Usual)
SUDS SUDS +
S uc u al
En i onmen damage 41059536 31017845 22706969
Cos 9918794 16145628
Bene i 18997570 26996125
Ne bene i 0 9078777 10850497
0
5
10
15
20
25
30
35
40
45
AEPV
(M€/any)
Figu e 14.
Resul s o he CBA o he isk managemen plan conside ing only he lood damage. AEE, annual equi alen
annui y; AEPV, annual equi alen p esen alue; EAD, expec ed annual damage.
When he s uc u al measu es we e applied, he EAD educed o
€
14 million, bu he
o al cos o he plan ose o
€
22 million pe yea . When he en i onmen damage was
analyzed o he CSOs, he annual damage was
€
4 million, and a e he SUDS plan, i
educed o
€
3 million/yea , and a e he s uc u al measu es ( i s lush anks), i educed
o €2.2 million. Figu e 15 shows hese esul s.

Sus ainabili y 2021,13, 71 22 o 25
Sus ainabili y 2021, 13, x FOR PEER REVIEW 22 o 26
Figu e 14. Resul s o he CBA o he isk managemen plan conside ing only he lood damage. AEE, annual equi alen
annui y; AEPV, annual equi alen p esen alue; EAD, expec ed annual damage.
When he s uc u al measu es we e applied, he EAD educed o €14 million, bu he
o al cos o he plan ose o €22 million pe yea . When he en i onmen damage was
analyzed o he CSOs, he annual damage was €4 million, and a e he SUDS plan, i
educed o €3 million/yea , and a e he s uc u al measu es ( i s lush anks), i educed
o €2.2 million. Figu e 15 shows hese esul s.
Figu e 15. Resul s o he CBA o he isk managemen plan conside ing only he en i onmen al damage.
The impac o SUDSs on lood and en i onmen al damage we e added, and he inal
esul s we e hen hen an SUDS implemen a ion cos o €10 million; when adding bo h
bene i s, he ne bene i was €32 million, which is he e o e he mos success ul measu e
in he plan. Howe e , o o e come i s limi a ion in e ms o impac , s uc u al measu es
a e manda o y.
BAU (Bussiness
As Usual) SUDS SUDS +
S uc u al
Annual EAD 63108344 39362159 14086518
Cos 9918794 22392823
AEE A oided damage 23746185 49021826
Bene i 32474983 57750624
AEE ne bene i 22556189 35357801
0
10
20
30
40
50
60
70
AEPV
(M€/any)
BAU
(Bussiness
As Usual)
SUDS SUDS +
S uc u al
En i onmen damage 41059536 31017845 22706969
Cos 9918794 16145628
Bene i 18997570 26996125
Ne bene i 0 9078777 10850497
0
5
10
15
20
25
30
35
40
45
AEPV
(M€/any)
Figu e 15. Resul s o he CBA o he isk managemen plan conside ing only he en i onmen al damage.
The impac o SUDSs on lood and en i onmen al damage we e added, and he inal
esul s we e hen hen an SUDS implemen a ion cos o
€
10 million; when adding bo h
bene i s, he ne bene i was
€
32 million, which is he e o e he mos success ul measu e in
he plan. Howe e , o o e come i s limi a ion in e ms o impac , s uc u al measu es a e
manda o y.
7. Compa ison o PDISBA o he Cu en Plan
The new u ban d ainage Mas e Plan (i.e., he PDISBA) was compa ed o he cu en
plan in o ce (PICBA). Table 8shows he main g oups o he lood isk mi iga ion measu es
included in bo h plans. The pe cen age o di e ence, compu ed using he old plan alue as
a e e ence, is p esen ed in he hi d column o he able.
Table 8. Compa ison be ween he cu en plan and he new plan.
MEASURE PICBA (2006) PDISBA (2019) DIFF.
Flood mi iga ion
measu es in
p ima y ne wo k
S o m anks €181 million €428 million 136%
P ima y ne wo k
Replacemen o
exis ing condui s €12 million €13 million 8%
New condui s €101 million €68 million −32%
Hyd aulic s uc u es (wei s, spillways,
and ga es) €1 million €7 million 600%
CSO mi iga ion
measu es Fi s lush anks €203 million €206 million 1.5%
SUDSs
In il a ion ench - €86 million -
Di e sion basins: 10 uni s, equi alen o
128,700 m3-€13 million -
G een oo - €115 million -
New gullies Gullies €32 million €84 million 150%
Seconda y
ne wo k Condui s €184 million €208 million 13%
Ne wo k
ehabili a ion Condui s - €196 million -
Sus ainabili y 2021,13, 71 23 o 25
The SUDS in es men could no be di ec ly compa ed because i is a new elemen
in he budge . In he p e ious plan equi emen s, he e we e no e e ences o sus ainable
d ainage, being one o he main di e ences be ween he plans ega ding he s uc u al
measu es. In con as , a SUDS is a sys em o educe he di ec uno o he p ecipi a ion,
hence i is linked o he impac o loods and clima e change. The e o e, i s budge was
included in he compa ison o cos s.
A simila si ua ion occu ed o he ne wo k ehabili a ion plan, which was ecen ly
inished in he amewo k o he new plan. Ex ending he li e cycle o in as uc u es is a
equi emen o he new plan. Hence, he e is no di ec compa ison wi h he p e ious plan,
bu in his case, i is an elemen no ela ed o loods. The budge de o ed o ehabili a ion
is high, because ne wo k diagnosis e ealed a poo main enance condi ion.
The in es men o he i s CSO lush anks is simila in bo h plans, and i is mainly
ela ed o en i onmen al issues, no o clima e change o loods. The physical loca ions o
he anks, a ound he sho eline, educe i s impac on lood managemen ; hence, clima e
change and CSOs a e decoupled om a measu es poin o iew.
Mo eo e , he seconda y ne wo k in es men budge is qui e simila in bo h plans
and is no ela ed o clima e change because i is mainly alloca ed o he de elopmen o
new u ban a eas. The di e ence obse ed in he new condui s alue is jus i ied because
some o he measu es p oposed in he old plan ha e al eady been cons uc ed du ing his
pe iod o he new plan. In case o s o m anks, he PICBA plan conside s mo e han 50
anks, and jus 20% o hem ha e been cons uc ed. S o m anks ha e a di ec impac on
lood con ol, and hence hey should be added o he inal compa ison.
The o al budge , including all he measu es (en i onmen al, loods, and ope a ion)
was
€
714 million o old plan (PICBA) and
€
1424 million o he new plan (PDISBA), bu
hese alues could no be asc ibed o clima e change impac s, as desc ibed p e iously.
The e o e, hese alues should be il e ed.
Conside ing all o he p e ious assump ions, he calcula ion used o compa e he
budge o add ess he impac o clima e change- ela ed loods was SUDSs + Hyd. Es . +
condui s + s o m anks. The o al budge o he old plan (PICBA) was
€
295 million and
€
730 million o he new plan (PDISBA), wi h he di e ence be ween bo h plans being
€
435
million. This di e ence is mainly ela ed o he cons uc ion o he s o m anks, wi h and
in es men inc emen o
€
245 million. The second pa o he di e ence is a esul o he
SUDSs ecei ing an in es men highe han €150 million.
The e o e, i can be concluded ha unde he new ain all scena io, including clima e
change, he new lood managemen measu es o al cos is 147% highe han he old one.
8. Conclusions
Clima e change has an impo an impac in u ban d ainage mas e plan budge ing.
P e ious plans become ou da ed due o he e olu ion in he ain all scena ios. I he e u n
pe iod is used in he design c i e ia, upda ing he ain all scena ios in ol es adding ex a
s uc u al measu es o he p e ious plans.
Ba celona Ci y Council de eloped i s In eg al D ainage Mas e Plan (PDISBA), wi hin
which, i included he de ini ion o new ain all e en s linked o he RCP 8.5 clima e change
scena io. The o al cos o he p oposed measu es eached
€
1.4 billion. In o de o jus i y
his in es men , a CBA was pe o med.
To analyze he impac o he measu es, an 80-yea pe iod was conside ed. The du a ion
o he implemen a ion o he s uc u al measu es was 20 yea s. Due o he di e en ime
spans o he in as uc u es, an equi alen annual annui y was used. Two measu e g oups
we e p oposed, he i s included SUDS implemen a ion and he second included s o m
anks, i s lush anks, and condui s o he han he SUDSs. Hence, he second scena io
was he second s ep a e he de elopmen o he i s scena io, bo h being sequen ial.
Rega ding he impac , loods and en i onmen al losses we e included in o de o
quan i y he impac o loods is he EAD. To achie e his alue, i was necessa y o compu e
di e en e u n pe iods. The esidual isk ela ed o bo h measu e scena ios was used o
Sus ainabili y 2021,13, 71 24 o 25
ee alua e he EAD and o compu e he bene i s. The annual bene i o he i s g oup o
measu es was
€
32 million/yea o loods and
€
19 million/yea o en i onmen losses.
Rega ding he second g oup o measu es, including s uc u es, he ne bene i o loods
ose o
€
57 million/yea and o en i onmen al losses, i inc eased o
€
26 million/yea .
Thus, he o al cos o he i s measu e scena io was
€
10 million/yea and o he second
measu e scena io, i was €22 million/yea .
Compa ing he new and old plans, he budge de o ed o loods has inc eased by
150%, om
€
295 million o
€
730 million. The ain all scena io igge ed he inc ease, i s
main di e ences being he peak in ensi y due o clima e change and he o al du a ion.
Au ho Con ibu ions:
Concep ualiza ion, A.O. and V.M.; me hodology, O.E., B.R. and M.J.V.;
so wa e, O.E. and M.J.V.; alida ion, V.M. and A.O.; in es iga ion, B.R. and M.J.V.; w i ing—o iginal
d a p epa a ion, V.M.; w i ing— e iew and edi ing, V.M.; isualiza ion, O.E., M.J.V. and A.O.;
supe ision, V.M.; p ojec adminis a ion, A.O.; unding acquisi ion, A.O. All au ho s ha e ead and
ag eed o he published e sion o he manusc ip .
Funding: This esea ch was unded by he Ba celona Ci y Council, con ac numbe E18-0185.
In o med Consen S a emen : No applicable.
Da a A ailabili y S a emen : Da a a ailable on eques due o es ic ions.
Con lic s o In e es : The au ho s decla e no con lic o in e es .
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