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Analysis of the spatio-temporal evolution of dredging from satellite images: a case study in the Principality of Asturias (Spain)

Mateo Pérez, Vanesa,Corral Bobadilla, M.,Ortega Fernández, Francisco de Asís,Rodríguez Montequín, Vicente

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=1Zecho−sounde −Zecho−sounde ZSa elli e −ZSa elli e q∑n i=1Zecho−sounde −Zecho−sounde 2∑n i=1Zecho−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. 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