Analysis of the spatio-temporal evolution of dredging from satellite images: a case study in the Principality of Asturias (Spain)
Abstract
This work was funded by the Science, Technology and Innovation Plan of the Principality of Asturias (Spain) Ref: FC-GRUPIN-IDI/2018/000225, which is partly funded by the European Regional Development Fund (ERDF).
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Jou nal o
Ma ine Science
and Enginee ing
A icle
Analysis o he Spa io-Tempo al E olu ion o D edging om
Sa elli e Images: A Case S udy in he P incipali y o
As u ias (Spain)
Vanesa Ma eo-Pé ez 1, Ma ina Co al-Bobadilla 2,* , F ancisco O ega-Fe nández 1
and Vicen e Rod íguez-Mon equín1
Ci a ion: Ma eo-Pé ez, V.;
Co al-Bobadilla, M.;
O ega-Fe nández, F.;
Rod íguez-Mon equín, V. Analysis o
he Spa io-Tempo al E olu ion o
D edging om Sa elli e Images:
A Case S udy in he P incipali y o
As u ias (Spain). J. Ma . Sci. Eng.
2021,9, 267.
h ps://doi.o g/10.3390/jmse9030267
Academic Edi o : Rodge Tomlinson
Recei ed: 5 Feb ua y 2021
Accep ed: 25 Feb ua y 2021
Published: 2 Ma ch 2021
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 il-
ia ions.
Copy igh : © 2021 by he au ho s.
Licensee 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/).
1P ojec Enginee ing Depa men , Uni e si y o O iedo, 33004 O iedo, P incipali y o As u ias, Spain;
[email p o ec ed] (V.M.-P.); [email p o ec ed] (F.O.-F.); [email p o ec ed] (V.R.-M.)
2Depa men o Mechanical Enginee ing, Uni e si y o La Rioja, 26004 Log oño, La Rioja, Spain
*Co espondence: [email p o ec ed]; Tel.: +34-941-299-274
Abs ac :
One o he undamen al asks in he main enance o po ope a ions is pe iodic d edging.
These d edging ope a ions acili a e he elimina ion o sedimen s ha he coas al dynamics in oduce.
D edging ope a ions a e inc easingly es ic i e and cos ly due o en i onmen al equi emen s.
Unde s anding he condi ion o he seabed be o e and a e d edging is essen ial. In addi ion,
de e mining how he seabed has beha ed in ecen yea s is impo an o conside when planning
u u e d edging ope a ions. In o de o analyze he beha io o sedimen anspo and he changes o
he seabed due o sedimen a ion, s udies o li o al dynamics a e conduc ed o model he deposi ion
o sedimen s. Ano he me hodology ha could be used o analyze he eal beha io o sedimen s
would be o s udy and compa e po ba hyme ies collec ed pe iodically. The p oblem wi h his
me hodology is ha i equi es nume ous ba hyme ic su eys o p oduce a su icien ly signi ican
analysis. This s udy p o ides an e ec i e solu ion o ob aining a dense ime se ies o ba hyme y
mapping using sa elli e da a, and enables he pas beha io o he seabed o be examined. The
me hodology p oposed in his wo k uses Sen inel-2A (10 m esolu ion) sa elli e images o ob ain
his o ical ba hyme ic se ies by he de elopmen o a andom o es algo i hm. F om hese his o ical
ba hyme ic se ies, i is possible o de e mine how he seabed has beha ed and how he en y o
sedimen s in o he s udy a ea occu s. This me hodology is applied in he Po o Lua ca (P incipali y
o As u ias), ob aining sa elli e images and ex ac ing successi e ba hyme y mapping u ilizing he
andom o es algo i hm. This wo k e eals how once he dock was d edged, he sedimen s we e
edeposi ed and he seabed eco e ed i s le el p io o d edging in less han 2 mon hs.
Keywo ds: Lua ca po ; andom o es ; d edging ac i i ies; sedimen anspo ; sa elli e images
1. In oduc ion
D edging ac i i ies a e commonly used in coas al a eas o main ain he designed
dep h o na iga ion channels o basins and o emo e deposi ed sedimen s. These ac i i ies
include no only he p ocesses o emo ing sedimen om he bo om, bu also hei
subsequen anspo o ano he loca ion. D edging o po s imp o es access and exi
condi ions o ca go and passenge ships [
1
,
2
]. This is impo an o ma ine sa e y, emo ing
sedimen ha has accumula ed in channels in o de o main ain he designed dep hs o he
exis ing acili ies [
3
,
4
]. Howe e , despi e i s impo ance in ma i ime wo ks and i s e ec on
economic and social de elopmen , and he cu en ad ances in d edging echniques, he
sil a ion o po s con inues o be one o he leas unde s ood b anches o coas al enginee ing.
I is o g ea impo ance o po s, in main aining and imp o ing i s dep h and, also, in
de eloping new acili ies o c ea ing new po s [
5
]. Thus, i is pa icula ly impo an o
s udy he sedimen a ion ha akes place in he basins and en ance channels o po s.
Excessi e sedimen a ion can impai he unc ioning o he po and lead o a dec ease in
J. Ma . Sci. Eng. 2021,9, 267. h ps://doi.o g/10.3390/jmse9030267 h ps://www.mdpi.com/jou nal/jmse
J. Ma . Sci. Eng. 2021,9, 267 2 o 18
economic ac i i ies [
6
–
8
]. The cons uc ion o dikes and o he coas al p o ec ion wo ks
ha e a g ea in luence on hyd odynamic o ces and mo emen o sedimen in he o sho e
a ea [
9
]. Hyd odynamic and sedimen a y condi ions can cause sedimen a ion o he po
channel, which mus be emo ed by main enance d edging [10].
The Po o Lua ca is loca ed in he P incipali y o As u ias and is one o he mos
impo an po s in no he n Spain. In ecen yea s he e ha e been signi ican changes in
he ma ine dynamics o he po , as well as in he e osion–sedimen a ion p ocesses ha
ope a e he e. To main ain na iga ion, d edging is unde aken once a yea . Technical
speci ica ions include he es ima ion o sil a ion olume, loca ion, du a ion and phases
o d edging wo ks o be pe o med, he d edging me hod and he loca ion o sui able
sedimen dumping loca ions ha will no a ec he en i onmen ad e sely [
11
]. A Lua ca,
sandy bo oms p e ail, al hough se e al a eas a e p esen ly co e ed by mud [
12
]. The
pu pose o d edging he dock a ea is o gua an ee he unc ionali y o he po , which is
condi ioned by he dep h o he dock. The loca ion o he Po o Lua ca a he mou h
o he Rio Neg o a o s he accumula ion o sedimen a y ma e ials o lu ial o igin. The
dock’s loca ion o es alls he idal dynamics ha a e necessa y o wash away he deposi ed
sedimen s. Fo his eason, pe iodic d edging is necessa y o main ain he dock. This
enables op imal le els o use o he di e en po a eas o be achie ed. Th oughou i s
ope a ional li e, he po has aced signi ican sedimen a ion p oblems and a consequen
dec ease in he dep h o he d a in i s en ance channel. The p oblem o sedimen a ion is
inc easing due o he en i onmen al p oblems ha a e associa ed wi h d edging and he
es ic i e egula ions imposed as a esul . This sedimen a ion p oblem may be ela ed
o he posi ioning and layou o he po basin and i s en y loca ion [
13
,
14
]. Due o high
sedimen a ion a es, he basin and en ance channel o he Po o Lua ca mus be d edged
egula ly o he po o con inue i s ope a ion.
Many di e en me hodologies ha e been used in an e o o unde s and he beha io
o sedimen s. These ha e anged om he use o p obabilis ic design me hods [
15
–
18
]
o di ec nume ical simula ions [
19
–
21
]. Di ec nume ical simula ions p o ide a ough
unde s anding o he beha io o sedimen s. Howe e , i is a cos ly me hodology, because
i equi es he su ey o he en i e a ea in o de o unde s and i s 3D geome y. Ano he
echnique ha could be used o s udy he beha io o sedimen s is o conduc an analysis
o he ba hyme ies ha we e ob ained in he s udy a ea. I he e olu ion o he seabed
is known, i is possible o know whe e he sedimen deposi s a e p oduced and hei
sedimen a ion a e. This echnique would also help o de e mine he need o unde ake
d edging, as well as i s pe iodici y. The main limi a ion when analyzing he beha io o
he seabed is he a ailabili y o ba hyme ies. Ba hyme ies a e no mally conduc ed be o e
and a e d edging, bu no equen ly enough o unde s and he e olu ion o he seabed,
due o hei high cos and he di icul y o ca ying hem ou . This clea ly limi s hei
use in analyzing he beha io o he seabed. The e o e, o his pu pose, ba hyme ies
a e ob ained om sa elli e images using he simples echniques ha o e a high le el o
p ecision. In addi ion, he echniques mus be applicable in a eas o u bid and shallow
wa e and p o ide apidi y and lexibili y o use.
Con en ional ba hyme ic me hods usually p o ide dep h p o iles o poin measu e-
men s o accep able accu acy. Howe e , hei use is cos ly and ine icien . Ba hyme ic
es ima ion can be imp o ed by combining echo sounding and sa elli e da a. Remo e sens-
ing echnology is used in many opog aphical s udies. This is e y use ul o si ua ions in
which he dep hs o wa e a e equi ed on empo al and spa ial scales, bu a e di icul o
ob ain [
22
–
25
]. Simple me hods ha use op ical images in es ima ing dep hs a e used by
some in es iga o me hods, as well as linea eg ession algo i hms o es ima e he dep h
o wa e [
26
]. In ecen yea s, he use o machine lea ning echniques and op ical senso s
o es ima e ba hyme ies has gained popula i y. This can be a ibu ed o ad ances in he
de elopmen o algo i hms, as well as g ea e a ailabili y o da a and new sa elli es. Many
au ho s ha e sough o de e mine he dep hs o wa e dep hs om op ical senso s and he
use o eg ession models ha we e de i ed om machine lea ning echniques [
27
–
32
]. The
J. Ma . Sci. Eng. 2021,9, 267 3 o 18
andom o es algo i hm was used in his s udy o ob ain he ba hyme ies. This algo i hm
has a numbe o ad an ages, including, low-cos , simplici y, ime-e ec i eness, and i s
wide-co e age o shallow wa e . Thus, he andom o es algo i hm has been ound o
be applicable o cons uc eg ession models ha ely on ba hyme y da a om sa elli e
images [33–41].
Many s udies ha e concen a ed on mig a ion o sedimen s o e he long e m and
how his a ec s wa e quali y and he ecosys em condi ion. They model mo emen o
ma e ial ha is emo ed du ing he d edging ope a ion [
42
]. Howe e , op imizing he
d edging ope a ion has no been p oposed. The main objec i e o his wo k is o de e mine
i he beha io o sedimen a ion di e s wi h he dep h o d edging. In o he wo ds, is
he e a s able mean dep h ou side o which e osion and sedimen a ion occu mo e quickly?
This is possible due o he capaci y o he me hodology, which enables da a om he pas
wi h a equency o 1–2 mon hs o be analyzed. This p o ides g ea in o ma ion o he
seabed’s beha io .
2. S udy Si e
The Po o Lua ca is si ua ed in no hwes e n Spain on he coas o he Can ab ian
Sea a a longi ude o 6
◦
32’1” W and a la i ude o 43
◦
32’45” N (Figu e 1a). Lua ca has been
associa ed wi h ma i ime ac i i y since i began as a ishing encla e in he 10 h cen u y.
Se e al changes ha e occu ed h oughou pas yea s in Lua ca Po . In 1910, he Canouco
dike (Figu e 1b), 40 m in leng h, was buil o shel e he ou e basin o he po . In 1940 a
new dike, he La Enco onada dike, was buil (Figu e 1b), 124 m in leng h on he wes e n
side [
43
]. I is necessa y o conduc d edging o he dock annually. The lack o d a means
ha he boa s canno en e he po , as many cu en s a e gene a ed in he en ance channel.
Thus, na iga ion in his a ea is endange ed by he isk ha he boa s will be s anded,
especially du ing s o ms. The po is used gene ally by small boa s. Thus, he minimum
d a s in he na iga ion channel ange om 2 o 3 m, wi h an a e age idal un o 2 m. The
d a in he docking a ea is somewha less—2 m. Al hough d edging is conduc ed in he
inle channels, i also a ec s he inne basin. O he wo a eas, i is he inne basin ha
ecei es he mos in e en ions and is mos limi ed due o d a . Nalona, a d edge boa
(Suc ion Hoppe D edge , IMO 9047453) [
44
], has been used o d edge he bed su ounding
he po . A e he sand and mud ha e been collec ed om he bo om o he Po o Lua ca,
he sand is deposi ed in he a ea o Pun a Muye es, in on o he hi d beach o he illage,
in an e o o enew his a ea. Howe e , i is no e y clea whe he his discha ge loca ion
bene i s he po , since a la ge amoun o he sand ha is dumped he e will be mo ed by
he cu en s and e-en e he dikes. The mud, on he o he hand, is deposi ed a ano he
loca ion ha is a he om he beaches.
The da es on which he d edging is ca ied ou in he inne basin a e p o ided by he
Po Se ice o he P incipali y o As u ias. D edging ope a ions we e ca ied ou in 2017
and 2018. In 2017, he d edging began in Oc obe , bu was s opped because o a p oblem
wi h he d edge. I esumed in No embe and ended in Decembe , 2017. In 2018, d edging
began on No embe 15 and con inued un il he end o he yea . In 2019, he inle channel
was d edged, bu li le wo k was done in he inne basin.
J. Ma . Sci. Eng. 2021,9, 267 4 o 18
J. Ma . Sci. Eng. 2021, 9, x FOR PEER REVIEW 4 o 18
Figu e 1. The Po o Lua ca: (a) posi ion o he po on he Can ab ian Sea coas ; (b) he s udy si e
loca ion.
3. Da a and Me hodology
3.1. Da a In Si u Measu emen s and Sa elli e Da a
Field measu emen s a e gene ally necessa y o s udy he sedimen a ion in he po ,
including he hyd odynamic pa ame e s o he a ea, in his case only ba hyme ies will be
used as ield measu emen s, and hese ba hyme ies a e p o ided annually by he Po
Se ice o he P incipali y As u ias. The ba hyme ies we e conduc ed wi h he use o a
Na isound 210 single beam echo sounde , wi h a 1 cm e ical esolu ion and dual
equency (Reson, Inc.: Slange up, Denma k). The speci ica ions o echo sounde
Na isound 210 a e shown in Table 1.
Table 1. Cha ac e is ics o echo sounde Na isound 210.
Na isound 210/400 Speci ica ions
F equency 190–235 kHz
Po ency o ansmission 300 W
Impedance 100 Ohm
Echo app o al leng h 100 µs–210 kHz
Dep h ange 0.5–100/400/1200 m depending on he equency
Resolu ion 1 cm
Accu acy 1 cm a 210 kHz (1 σ) assuming co ec sound
eloci y, ansduce dep h e c.
The s udy’s echo sounding da a o Lua ca we e de e mined, on 28 June 2016, 10 May
2018 and 28 May 2019. Fo he p esen wo k, XY posi ions om he su ey da a we e
Figu e 1.
The Po o Lua ca: (
a
) posi ion o he po on he Can ab ian Sea coas ; (
b
) he s udy
si e loca ion.
3. Da a and Me hodology
3.1. Da a In Si u Measu emen s and Sa elli e Da a
Field measu emen s a e gene ally necessa y o s udy he sedimen a ion in he po ,
including he hyd odynamic pa ame e s o he a ea, in his case only ba hyme ies will
be used as ield measu emen s, and hese ba hyme ies a e p o ided annually by he
Po Se ice o he P incipali y As u ias. The ba hyme ies we e conduc ed wi h he
use o a Na isound 210 single beam echo sounde , wi h a 1 cm e ical esolu ion and
dual equency (Reson, Inc.: Slange up, Denma k). The speci ica ions o echo sounde
Na isound 210 a e shown in Table 1.
Table 1. Cha ac e is ics o echo sounde Na isound 210.
Na isound 210/400 Speci ica ions
F equency 190–235 kHz
Po ency o ansmission 300 W
Impedance 100 Ohm
Echo app o al leng h 100 µs–210 kHz
Dep h ange 0.5–100/400/1200 m depending on he equency
Resolu ion 1 cm
Accu acy 1 cm a 210 kHz (1 σ) assuming co ec sound eloci y,
ansduce dep h e c.
The s udy’s echo sounding da a o Lua ca we e de e mined, on 28 June 2016, 10 May
2018 and 28 May 2019. Fo he p esen wo k, XY posi ions om he su ey da a we e
J. Ma . Sci. Eng. 2021,9, 267 5 o 18
p ojec ed using UTM Zone 30N. As hey a e usually cos ly, hey a e no mally used only
o speci ic da es. The sa elli e Sen inel-2 p o ided he da a wi h which o p edic he
ba hyme y o he wa e dep h a he po (Table 2).
Table 2. Da es o acquisi ion o ba hyme ies.
Yea
2017 2018 2019 2020
05/01/2019 25/01/2020
24/02/2018 24/02/2019 19/02/2020
16/03/2018 10/03/2020
10/04/2018 20/04/2019
30/05/2019
24/06/2018 14/06/2019
04/07/2017 29/07/2018 24/07/2019
13/08/2017 18/08/2018 23/08/2019
02/09/2017 02/09/2018 12/09/2019
02/10/2017 02/10/2018 22/10/2019
21/11/2017 16/11/2018 21/11/2019
21/12/2017 31/12/2018
3.2. Me hodology
The p ocess o ob ain he ba hyme ies is shown schema ically in Figu e 2.
J. Ma . Sci. Eng. 2021, 9, x FOR PEER REVIEW 5 o 18
p ojec ed using UTM Zone 30N. As hey a e usually cos ly, hey a e no mally used only
o speci ic da es. The sa elli e Sen inel-2 p o ided he da a wi h which o p edic he
ba hyme y o he wa e dep h a he po (Table 2).
Table 2. Da es o acquisi ion o ba hyme ies.
Yea
2017 2018 2019 2020
05/01/2019 25/01/2020
24/02/2018 24/02/2019 19/02/2020
16/03/2018 10/03/2020
10/04/2018 20/04/2019
30/05/2019
24/06/2018 14/06/2019
04/07/2017 29/07/2018 24/07/2019
13/08/2017 18/08/2018 23/08/2019
02/09/2017 02/09/2018 12/09/2019
02/10/2017 02/10/2018 22/10/2019
21/11/2017 16/11/2018 21/11/2019
21/12/2017 31/12/2018
3.2. Me hodology
The p ocess o ob ain he ba hyme ies is shown schema ically in Figu e 2.
Figu e 2. Me hodological wo k low o de elopmen o ba hyme ic maps.
3.2.1. P ocessing Sa elli e Images
The p ocessing s ep conce ns using Sen inel-2A da a as ec o o a iables o
aining and i ing o he andom o es model (Figu e 2). Sen inel-2A sa elli e da a was
e ie ed om ESA Cope nicus Open Access Hub. SNAP (Sen inel Applica ion Pla o m)
so wa e was used o isualize and p ep ocess Sen inel-2A da a (10 m esolu ion) [45].
The da a om he Sen inel-2A sa elli e e lec ance bands (B1, B2, B3, B4, B5, B6, B7, B8,
Figu e 2. Me hodological wo k low o de elopmen o ba hyme ic maps.
3.2.1. P ocessing Sa elli e Images
The p ocessing s ep conce ns using Sen inel-2A da a as ec o o a iables o aining
and i ing o he andom o es model (Figu e 2). Sen inel-2A sa elli e da a was e ie ed
om ESA Cope nicus Open Access Hub. SNAP (Sen inel Applica ion Pla o m) so wa e
was used o isualize and p ep ocess Sen inel-2A da a (10 m esolu ion) [
45
]. The da a
om he Sen inel-2A sa elli e e lec ance bands (B1, B2, B3, B4, B5, B6, B7, B8, B8A, B9,
B11, and B12) we e used o p edic he dep h o he wa e a he s udy po . All spec al
bands in he Sen inel-2A images we e esampled o achie e a esolu ion o 10 m using he
SNAP S2 Resampling P ocesso [
15
,
46
,
47
]. As a esul , a da ase wi hou geo e e encing
J. Ma . Sci. Eng. 2021,9, 267 6 o 18
was ob ained, and o de e mine he posi ioning o he e e ence poin s, he geog aphical
loca ion o each poin was de ined by i s longi ude and la i ude using he SNAP p og am.
Then, using he WGS84 ellipsoid, a coo dina e p ojec ion was c ea ed in o de o ob ain
he coo dina es in ETRS89 [
48
]. This sys em was also used o p ojec he posi ions ha he
echo sounde p o ides. The ellipsoid p ojec ions had an a e age posi ion e o o 1 cm.
The da a ha was ob ained was compa ed o he ba hyme y ha had been p ojec ed. To
accomplish his, a geodesic calcula o was used o p ojec he coo dina es. This enabled he
au ho s o ob ain he da a o bands ha a e associa ed wi h UTM x-y coo dina es. The
andom o es algo i hm was used o assign he z coo dina e. F om hese poin s and using
he QGIS so wa e ( e sion 3.14), he su ace was ob ained by digi al models o he TIN
(T iangula ed I egula Ne wo k) e ain ype. T iangula ion was unde aken using linea
in e pola ion [
49
]. The e o ha his p ocess in ol ed was small due o he absence o
any g ea i egula i ies in he smoo h su aces o he seabed. The po ’s ze o se es as he
e e ence poin o he z coo dina es. The o me is he minimum measu ed le el o he
su ace o he wa e du ing he highes low ide in he las 15 yea s. Pixels we e assigned
dimensions on he basis o hei x-y loca ions.
3.2.2. The Random Fo es Algo i hm
The andom o es algo i hm [
50
] acili a es classi ica ion and eg ession by use o a
andomized subse o p edic o s ha enable i o c ea e a a ie y o classi ica ion ees [
51
].
Many o he ees s a as boo s apped aining da a samples. A andom subse o p e-
dic o a iables (z coo dina e) is used a each o k in he p ocess. This causes each ee o
be di e en . Al hough each ee is a poo p edic o , each pai o hem p o ides a di e -
en esponse. This agg ega es he p edic ions o unco ela ed ees, educing p edic ion
a iance and inc easing accu acy [
52
–
54
]. This wo k in ol ed 100 ees and 13 a iables
(Sen inel-2A sa elli e bands B1, B2, B3, B4, B5, B6, B7, B8, B8A, B9, B11, and B12, and idal).
The de aul alue was adop ed as he minimum size o nodes. The andom o es algo i hm
o p edic ion o ba hyme y was p o ided by he Random Fo es ( 4.6-2) R package [
55
].
3.2.3. T aining and Tes ing Da ase
In o de o e alua e he accu acy o he model, he da ase ha was ob ained om
Sen inel-2 was di ided in o wo g oups. T aining he andom o es algo i hm equi ed
80% o he da ase (1593 da a poin s), and es ing he model used he emaining 20%
(
388 da a poin s
). Da a om echo sounding measu emen s we e used o calib a e he
model wi hou any kind o elabo a ion [
56
]. To es he model, he da a ob ained wi h he
model we e compa ed wi h ield measu emen s o 20% o he poin s. As he ide a ec ed
he dep h measu emen esul s, he measu ed dep hs we e he mean sea le els (MSL) ha
se ed as e e ences. This was accomplished by deduc ing he measu ed dep h du ing
high ide om he MSL. The idal da a we e p o ided by he nea es idal s a ion [34].
Finally, in o de o de e mine he accu acy o he model’s es ima es o dep h, sa elli e
de i ed ba hyme y maps we e compa ed wi h ha o he ield measu emen s ob ained by
using he echo sounde . The esidual s a is ic be ween he sa elli e de i ed dep h (Zsa elli e)
and he echo sounding measu emen s (Zecho-sounde ) we e epo ed along h ee me ics.
They we e he mean absolu e e o (MAE), he oo mean squa ed e o (RMSE) and he
co ela ion coe icien (adjus ed R2). They a e calcula ed by he equa ions below.
MAE =1
n
n
∑
i=1
|ZSa elli e −Zecho−sounde |
RMSE =s1
n
n
∑
i=1
(ZSa elli e −Zecho−sounde )2
R2=∑n
i=1Zecho−sounde −Zecho−sounde ZSa elli e −ZSa elli e
q∑n
i=1Zecho−sounde −Zecho−sounde 2∑n
i=1Zecho−sounde −Zecho−sounde 2
J. Ma . Sci. Eng. 2021,9, 267 7 o 18
whe e Z
Sa elli e
a e he dep hs ha he andom o es me hodology p edic ed om Sen inel-2
images. Zecho-sounde deno e he in si u echo sounding dep hs and nis he numbe o da a.
4. Resul s
The andom o es algo i hm achie ed a good p edic i e pe o mance, wi h an MAE
o 0.37, an RMSE o 0.47 and an R2o 0.974. The es ing da a se esul s appea in Table 3.
Table 3. E o s a is ics epo ed in me e s p oduced by he andom o es algo i hm.
Algo i hm MAE (m) RMSE (m) R2
Random o es 0.37 0.47 0.974
Figu e 3p o ides a his og am o he ela ionship be ween mean absolu e e o (MAE)
and he dep h o he po o Lua ca ha was ob ained by he andom o es algo i hm. As
can be seen in Figu e 3, he maximum e o (60 cm) occu ed be ween
−
6 and
−
8 m and
he minimum (24 cm) occu ed a
−
10 m. This e o is accep able o he pu pose o his
s udy, which is o analyze he beha io o he seabed wi h espec o ime.
J. Ma . Sci. Eng. 2021, 9, x FOR PEER REVIEW 7 o 18
RMSE=1𝑛(𝑍−𝑍)
R=∑(𝑍−𝑍
)(𝑍−𝑍
)
∑(
𝑍−𝑍
)∑(
𝑍−𝑍
)
whe e ZSa elli e a e he dep hs ha he andom o es me hodology p edic ed om Sen inel-
2 images. Zecho-sounde deno e he in si u echo sounding dep hs and n is he numbe o da a.
4. Resul s
The andom o es algo i hm achie ed a good p edic i e pe o mance, wi h an MAE
o 0.37, an RMSE o 0.47 and an R² o 0.974. The es ing da a se esul s appea in Table 3.
Table 3. E o s a is ics epo ed in me e s p oduced by he andom o es algo i hm.
Algo i hm MAE (m) RMSE (m) R2
Random o es 0.37 0.47 0.974
Figu e 3 p o ides a his og am o he ela ionship be ween mean absolu e e o
(MAE) and he dep h o he po o Lua ca ha was ob ained by he andom o es
algo i hm. As can be seen in Figu e 3, he maximum e o (60 cm) occu ed be ween −6
and −8 m and he minimum (24 cm) occu ed a −10 m. This e o is accep able o he
pu pose o his s udy, which is o analyze he beha io o he seabed wi h espec o ime.
Figu e 3. Va ia ion o MAE e o s e sus dep h (m).
As an example o he esul s ha we e ob ained, he ba hyme ies be o e and a e
he 2017 d edging a e ep esen ed in 3D and 2D (Figu es 4 and 5). Figu e 4 ep esen s he
3D e olu ion o he seabed o 21/11/17 (Figu e 4a), 21/12/17 (Figu e 4b) and 24/02/18
(Figu e 4c). These show ha he ele a ion o he seabed was main ained in Figu e 4a,b,
bu had declined in Figu e 4c due o d edging.
Figu e 3. Va ia ion o MAE e o s e sus dep h (m).
As an example o he esul s ha we e ob ained, he ba hyme ies be o e and a e
he 2017 d edging a e ep esen ed in 3D and 2D (Figu es 4and 5). Figu e 4 ep esen s he
3D e olu ion o he seabed o 21/11/17 (Figu e 4a), 21/12/17 (Figu e 4b) and 24/02/18
(Figu e 4c). These show ha he ele a ion o he seabed was main ained in Figu e 4a,b, bu
had declined in Figu e 4c due o d edging.
Figu e 5 ep esen s one o he d edging episodes by a se ies o ba hyme ies ha we e
analyzed in he plane and p o ile iew. These indica e he e ec o he d edging ha was
unde aken. Fi s , when d edging is ca ied ou , he e is a dec ease in he ele a ion o he
basin and he inle channel (Figu e 5a,c). The ele a ion eco e s when he d edging s ops
(Figu e 5b,d). This e ec is seen in bo h he inne dock (sec ion AA’) and in he inle channel
(sec ion BB’). In bo h ep esen a ions (Figu es 4and 5), he a eas o g ea es a ia ion a e
he inne basin and he inle channel. These a e he a eas whe e d edging akes place.
Addi ionally, in Figu es 4and 5, he a eas in which he g ea es changes occu a e in he
lowe igh co ne (inne dock a ea and inle channel) and in he uppe le co ne ha
coincides wi h he beach a ea. Bo h a e a eas ha unde go many changes in opog aphy
due o coas al dynamics.
J. Ma . Sci. Eng. 2021,9, 267 8 o 18
J. Ma . Sci. Eng. 2021, 9, x FOR PEER REVIEW 8 o 18
Figu e 4. 3D ba hyme ies. Da es: (a) 21/11/17, (b) 21/12/17 and (c) 24/02/18.
Figu e 4. 3D ba hyme ies. Da es: (a) 21/11/17, (b) 21/12/17 and (c) 24/02/18.
J. Ma . Sci. Eng. 2021,9, 267 9 o 18
J. Ma . Sci. Eng. 2021, 9, x FOR PEER REVIEW 9 o 18
Figu e 5. A ep esen a ion o he beha io o he in e io basin he d edging on: (a) 02/10/17, (b) 21/11/17, (c) 21/12/17 and
(d) 24/02/18; and c oss-sec ional p o ile (e) AA’ o he inne dock, and ( ) BB’ o he inle channel.
Figu e 5.
A ep esen a ion o he beha io o he in e io basin he d edging on: (
a
) 02/10/17, (
b
) 21/11/17, (
c
) 21/12/17
and (d) 24/02/18; and c oss-sec ional p o ile (e) AA’ o he inne dock, and ( ) BB’ o he inle channel.
J. Ma . Sci. Eng. 2021,9, 267 16 o 18
eco e ed almos immedia ely (in he d edging o 2018 in 5 days) wi h illing a es o 589.90
and 3556.35 m
3
/day, o 2017 and 2018, espec i ely. I also can be s a ed ha he spo adic
a i al o sedimen abo e he mean dep h also disappea ed wi hou ex e nal in e en ion,
keeping he mean dep h be ween
−
3 and
−
4 m. As a esul , i can be concluded ha
lowe ing he ele a ion by d edging does no seem adequa e, unless he d edging dep h is
close o he a e age ele a ion ha is main ained na u ally.
Fo u u e wo k, i migh be use ul o ex end his in es iga ion o o he po s. Be o e
de e mining he need o d edging, i would be use ul o know i he e is a dep h beyond
which i is no app op ia e o conduc u he d edging due o he a e a which sedimen
e u ns. The analysis o he beha io o he bo om o he po s in ecen yea s p o ides
aluable in o ma ion o he planning o main enance asks and he knowledge o hei
beha io in he ace o li o al dynamics.
Au ho Con ibu ions:
Concep ualiza ion, V.M.-P. and F.O.-F.; so wa e and alida ion, V.M.-P.;
me hodology, M.C.-B.; da a cu a ion, V.M.-P.; w i ing—o iginal d a p epa a ion, M.C.-B.; w i ing—
e iew and edi ing, F.O.-F., and V.R.-M. All au ho s ha e ead and ag eed o he published e sion o
he manusc ip .
Funding:
This wo k was unded by he Science, Technology and Inno a ion Plan o he P incipali y
o As u ias (Spain) Re : FC-GRUPIN-IDI/2018/000225, which is pa ly unded by he Eu opean
Regional De elopmen Fund (ERDF).
Ins i u ional Re iew Boa d S a emen : No applicable.
In o med Consen S a emen : No applicable.
Acknowledgmen s:
The au ho s would like o hank he Po Se ice and T anspo In as uc u es
o he P incipali y o As u ias o hei collabo a ion in his wo k.
Con lic s o In e es : The au ho s decla e he e a e no con lic o in e es .
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