622
ΣXpresentsthesumofalltheobservations(x)inthe
populationof48whichsizeismarkedbyN:
X
N
(1)
Populationvariance(σ
2
)iscalculatedbyequation
(2):
22
1
1
σ()
N
i
i
x
N
(2)
Usingequations(1)and(2),realAtoNpopulation
meanis
1=‐2,7778whileV‐AtoNpopulationmean
is
2=‐0,3333. Population variance in case of real
AtoN is
2
1=68.61728 and in case of V‐AtoN is
2
2
=240.66667.
Squarerootofpopulationvariance(
2
),bringsthe
standarddeviation()incaseofrealAtoN
1=8.28355,
and in case of V‐Aton
2=15.51343. Values of XTD
withstandarddeviation()barsareshownonfigure
5.
Figure5. Comparison of average XTD [m] in real and V‐
AtoNenvironment
AsshowninFigure5,therearesomeoverlapping
ofstandarderrorbars,markedonX‐axisas1,2,4and
8. Intense overlapping in these areas means that
deviation from the middle of the fairway was not
muchdifferentinrealandvirtualenvironment.Also,
thereisaslight
overlappinginarea3.Inotherareas,
there is no overlapping at all. Deviations from the
middleofthefairwayareintensifiedinarea7,where
vessels are trying to get back on track, experiencing
highdriftanglesandROTs,whichculminatesinarea
9attheendofthe
markedfairway.
7 CONCLUSIONS
The objective of this study was to evaluate
manoeuvring patterns of vessel transiting through
deep water fairway marked with real and virtual
AtoN. Simulations using TRANSAS Navi Trainer
5000 and TRANSAS ECDIS 4000 simulators are
executed assuming that the ordinary seamanship
practice is applied all the time.
The results of this
study indicate that there is a difference in
manoeuvring trajectory of vessel sailing through the
fairway marked with real or virtual AtoN,
respectively.Analysingshiptrajectoriesuponrunning
totally48simulations,itisconcludedthatmovement
patterns in case of virtually marked fairway are
significantly different. Several important parameters
such as drift angle and ROT found with huge
discrepancies.Also,XTDundoubtfullyshowsthatoff
route deviations are larger in case of V‐AtoN
environment. Such results indicate that OOW feels
more relaxed in virtual AtoN environment thus
reducing overall level of safety at sea. Contrary, in
case when the fairway is marked with real AtoN,
passage is smoother, with smaller drift angles, ROT
andXTD.Despitealltheeffortsmadeinrecentyears
bytheIMOandotherstakeholdersforthesakeofthe
virtual maritime environment in order to improve
digitalization, connectivity, and reduce costs,
it is
necessary to make additional efforts, primarily in
terms of increasing awareness of the risks coming
from the V‐AtoN environment. Undoubtedly, one
way to achieve that is through implementation of
additional‐specific ECDIS training which will enable
OOW to become better acquainted with virtual
environment. Such specific training should
focus on
peculiaritiesofvirtualenvironmentanditsdifferences
in relation to physical one. Through different
scenarios OOW should be able to become more
competent,skilledandaware.Futureresearchshould
focusonfindingwaystomakeusageofV‐AtoNmore
usefulandsafer.
REFERENCES
[1]A.Weintrit,J.Pietraszkiewicz,W.Piotrzkowski,andW.
Tycholiz,“e‐Navigatinginhighly‐constrainedwaters:a
casestudyoftheVistulaLagoon,”J.Navig.,vol.74,no.
3, pp. 505–514, May 2021, doi:
10.1017/S0373463320000661.
[2]K. An, “E‐navigation Services for Non‐SOLAS Ships,”
Int.J.e‐NavigationMarit. Econ.,
vol. 4, pp. 13–22,Jun.
2016,doi:10.1016/j.enavi.2016.06.002.
[3]R.G.WrightandM. Baldauf,“VirtualElectronicAidsto
Navigation for Remote and Ecologically Sensitive
Regions,”J.Navig.,vol.70,no.2,pp.225–241,Mar.2017,
doi:10.1017/S0373463316000527.
[4]R. G. Wright and M. Baldauf, “Correlation of Virtual
Aids to
Navigation to the Physical Environment,”
TransNav, Int. J. Mar. Navig. Saf. Sea Transp., vol. 10,
no.2,pp.287–299,2016,doi:10.12716/1001.10.02.11.
[5]F.DiCiaccio,P.Menegazzo,andS.Troisi,“Optimization
of the Maritime Signaling System in the Lagoon of
Venice,”Sensors,vol.19,no.5,p.1216,Mar.2019,
doi:
10.3390/s19051216.
[6]F.Bojic,I.Karin,I.Juricevic,andM.Cipcic,“Designand
ApplicationofanAutomatedSmartBuoyinIncreasing
Navigation Safety and Environmental Standards in
Ports,” TransNav, Int. J. Mar. Navig. Saf. Sea Transp.,
vol. 15, no. 2, pp. 373–380, 2021, doi:
10.12716/1001.15.02.14.
[7]G. Fukuda, H.
Tamaru, and R. Shoji, “Estimation of
Changes in Marine Traffic Flow Due to Installation of
Virtual Buoys Based on the OZT Method,” TransNav,
Int. J. Mar. Navig. Saf. Sea Transp., vol. 15, no. 2, pp.
445–453,2021,doi:10.12716/1001.15.02.24.
[8]N.M.Quy,K.Łazuga,L.Gucma,J.K.Vrijling,and
P.H.
A. J. M. van Gelder, “Towards generalized ship’s
manoeuvremodelsbasedonrealtimesimulationresults
inportapproachareas,”OceanEng.,vol.209,p.107476,
Aug.2020,doi:10.1016/j.oceaneng.2020.107476.