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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Using semantic trajectories for spatio-temporal characterisation of underwater noise</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Giulia Rovinelli</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Davide Rocchesso</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marta Simeoni</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alessandra Rafaetà</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ca' Foscari University of Venice</institution>
          ,
          <addr-line>Venice</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>European Centre for Living Technology (ECLT)</institution>
          ,
          <addr-line>Venice</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Università degli studi di Milano Statale</institution>
          ,
          <addr-line>Milano</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Underwater noise pollution from human activities, particularly shipping, has been recognised as a serious threat to marine life. The sound generated by vessels can have various adverse efects on fish and aquatic ecosystems in general. In this setting, the estimation and analysis of the underwater noise produced by vessels is an important challenge for the preservation of the marine environment. In this paper, we propose a model for the spatio-temporal characterisation of the underwater noise generated by the fishing vessels in the Northern Adriatic Sea. The approach is based on the reconstruction of the vessels' trajectories from AIS data. Trajectories are enriched with semantic information like the acoustic characteristics of the vessels' engines or the activity performed by the vessels. This is then used to infer how noise propagates in the area of interest. The conceptual framework has been implemented using MobilityDB, an open source geospatial trajectory data management and analysis platform. We present some preliminary analyses obtained by applying the developed tool.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Semantic trajectories</kwd>
        <kwd>underwater noise</kwd>
        <kwd>fisheries</kwd>
        <kwd>spatio-temporal databases</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        kinds of seabed floor as well as environmental variables
such as temperature, salinity, waves height, etc., allow
The Northern Adriatic Sea area is one of the most ex- the simulation to be very accurate. Still, covering a wide
ploited areas of the Mediterranean Sea and the underwa- area, such that the one of the Northern Adriatic sea, is
ter noise pollution is certainly among the efects of the challenging and, in any case, the estimated noise values
intensive fishery activity. Underwater noise produced by are not guaranteed to be correct.
vessels has a significant short and long term impact on In this paper we focus on the noise generated by
fishanimal species. Among the adverse efects we can men- ing vessels and we propose an approach to provide a
tion communication interference, behavioural changes, characterisation of underwater noise produced by such
stranding and mortality [
        <xref ref-type="bibr" rid="ref12 ref13">1, 2</xref>
        ]. For this reason, the cre- vessels. Instead of using hydrophones at physical
listenation of underwater noise maps is of paramount impor- ing points our proposal is based on a reconstruction of
tance to monitor the quality of aquatic life, assess poten- vessels’ trajectories which, enriched with semantic
intial risks and inform ecologists and policymakers, so that formation like the acoustic characteristics of the vessels’
they can develop efective plans to ensure a productive engine and the activities performed by the vessel along
and healthy ecosystem. the trajectory, are used to deduce how the noise
gener
      </p>
      <p>
        However, determining underwater noise maps is a ated by the vessels spreads in the area of interest. We
complex and resource-intensive process. Gathering data build on our previous work [
        <xref ref-type="bibr" rid="ref14 ref15">3, 4</xref>
        ] which describes and
about underwater noise requires the use of hydrophones implements a spatio-temporal database of the fishing
ac(underwater microphones), which, in turn, requires a tivities in the Northern Adriatic Sea. The trajectories of
team of experts to be deployed and tuned. Once col- the fishing vessels are reconstructed starting from the
terlected, data need to be processed and analysed to extract restrial Automatic Identification System (AIS) data, sent
meaningful information. Computer simulation may be by ships and received by ground stations on the Italian
used to predict and estimate noise levels in areas where coast. The original database, spanning the years
2015data collection is infeasible, or to cover a wider area than 2018, is here extended to include also years 2019-2021.
the one monitored by hydrophones. Complex models In order to determine the acoustic characteristics of the
of sound propagation, taking into account the diferent vessels’ engines and fine tune the propagation model, we
Published in the Proceedings of the Workshops of the EDBT/ICDT 2024 also take advantage of the direct acoustic measurements
Joint Conference (March 25-28, 2024), Paestum, Italy produced by the Interreg project SOUNDSCAPE [
        <xref ref-type="bibr" rid="ref16">5</xref>
        ] that
* Corresponding author. carried out an acoustic monitoring in the North Adriatic
$ giulia.rovinelli@unive.it (G. Rovinelli); Sea from March 2020 to June 2021.
(dMav. iSdiem.reoocnchi)e;srsaofa@etua@nimuni.iivte(.Dit.(RAo.cRcahfaeestsào)); simeoni@unive.it We propose a model of underwater sound
propagaCopyright © 2024 for this paper by its authors. Use permitted under Creative Commons License tion and use it to infer the fishing vessels’ noise in the
Attribution 4.0 International (CC BY 4.0).
      </p>
      <p>
        Northern Adriatic Sea. Specifically, we associate each the higher the frequency, the faster the disappearance of
ifshing vessel with its estimated Sound Pressure Level the intensity along with increasing distance.
(SPL), computing the intensity of the produced underwa- Paper [
        <xref ref-type="bibr" rid="ref3">9</xref>
        ] presents a real-time low-cost Passive
Acouster noise. Then, we use the spatio-temporal database of tics Monitoring (PAM) system tailored to assess
anthrothe fishing vessels’ trajectories to evaluate the underwa- pogenic noise in marine environments. The system,
ter noise generated along the trajectories themselves. We which performs a real-time detection of the
underwapartition the Northern Adriatic Sea into a regular grid, ter noise, is an outcome of project CORMA (COntrollo
each cell having a size of 1km× 1km, to collect the noise Rumore MArino)1.
intensities in space and time. Instead of using physical In [
        <xref ref-type="bibr" rid="ref4">10</xref>
        ] the authors use an external database (available
listening points (hydrophones) we consider the centroid from the Canadian Guard Coast) containing the ships
of each cell as a virtual listening point where we calculate transits derived from AIS data and apply a sound
propathe perceived sound pressure level. gation model to derive the cumulative large-scale noise
      </p>
      <p>
        The proposal has been implemented in MobilityDB [
        <xref ref-type="bibr" rid="ref17">6</xref>
        ], map of the area of interest. The approach is similar to the
an open source geospatial trajectory data management one proposed in our paper. However, in [
        <xref ref-type="bibr" rid="ref4">10</xref>
        ] the focus is
and analysis platform. This is used to perform some just on readily obtaining the noise map images thanks
preliminary analyses. Specifically, we present the maps to data coming from an external database. In contrast,
of the average and peaks of the underwater noise in we aim at proposing a general framework for
underwaJanuary and April 2020. This choice permits to discuss ter noise characterisation, including the creation of a
the efects of the COVID-19 pandemic on the underwater spatio-temporal database, that can be used to answer any
noise pollution due to the fishing activities. In fact, in question about underwater noise. For instance, a user
January 2020 there were regular fishing activities while may request to visualise the noise produced by a single
in April 2020, during the lockdown period, the activities vessel along its trajectory, considering also the increase
were greatly reduced. of noise while fishing, or to show noise maps for a chosen
      </p>
      <p>
        The paper is organised as follows. Section 2 briefly area and time period, or to produce videos illustrating
presents the literature on underwater noise. Section 3 de- the underwater noise dynamics in timelapse.
scribes our model for the underwater sound propagation. Diferently, the aim of [
        <xref ref-type="bibr" rid="ref5">11</xref>
        ] is to carry out a multi-site
Section 4 outlines the construction of the fishing vessels validation of a large-scale shipping noise map constructed
trajectories and the computation of the underwater noise. using a generic shipping noise model. More recently, the
It also includes some preliminary analyses performed on Interreg project SOUNDSCAPE [
        <xref ref-type="bibr" rid="ref16">5</xref>
        ] carried out an acoustic
January and April 2020, before and during the COVID-19 monitoring of the Northern Adriatic sea and, in [
        <xref ref-type="bibr" rid="ref6">12</xref>
        ], the
pandemic. Some closing remarks are in Section 5. authors describe the spatial and temporal variations of
the ambient sound pressure levels recorded over one year.
      </p>
      <p>
        Summing up, many of the presented works use
mea2. Related works sures obtained via hydrophones to reconstruct
underwater sound. We propose a complementary approach
Underwater noise arising from human activities is known based on AIS data and on the construction of
semanto have a number of adverse efects on aquatic life. These tic trajectories. We use the information on the engine
can range from acute efects such as permanent or tem- power the fishing vessels are equipped with to
deterporary hearing impairment to chronic efects such as de- mine the source noise levels generated by the vessels and
velopmental deficiencies and physiological stress [
        <xref ref-type="bibr" rid="ref12 ref13">1, 2</xref>
        ]. then exploit their trajectories to deduce how such noise
In [
        <xref ref-type="bibr" rid="ref1">7</xref>
        ] the authors try to summarise the status regarding propagates. Having semantic information allows us to
continuous underwater radiated noise from shipping in distinguish between diferent behaviours of the fishing
European waters to provide recommendations on possi- vessels, in particular when they are fishing, an activity
ble future activities. The work is focused on four main which increases the generated noise.
topics: characteristics and quantification of noise sources
from various ship types, impacts on marine fauna,
existing policies, including guidelines, decisions, resolutions 3. Underwater noise model
and regulations and mitigation measures for the
abatement of ship noise and noise-related impact. In this section we describe a model for underwater sound
      </p>
      <p>
        The work in [
        <xref ref-type="bibr" rid="ref2">8</xref>
        ] analyses the noise generated by fishing propagation which is used in Section 4 to provide a
spatioboats. In particular, authors find out that the noise emit- temporal characterisation of underwater noise in the
ted by fishing boats is influenced by the characteristics of Northern Adriatic Sea. We present the theoretical laws
the engine type they are equipped with. Moreover, they governing the underwater sound propagation and we also
observe that noise intensity at a specific frequency can be describe how we obtain the estimation for source sound
detected at a certain distance with a decreasing pattern:
levels, propagation loss and ambient noise, necessary for and pressure [
        <xref ref-type="bibr" rid="ref10">16</xref>
        ], varying both during the day and with
the definition of the model. the seasons in the superficial part [
        <xref ref-type="bibr" rid="ref11">17</xref>
        ], and with depth.
      </p>
      <p>
        The estimation is based on real measurements. We The computation of the transmission loss considering
use the dataset delivered by the project SOUNDSCAPE, all these parameters is not a simple task and for this
which carried out an acoustic monitoring in the North reason various models have been introduced. Before
Adriatic Sea from March 2020 to June 2021. Nine monitor- discussing the transmission loss, however, we focus on
ing stations were set up encompassing diferent environ- how to evaluate the source level, that is, in our case, the
mental characteristics. Two datasets have been realised noise generated by the fishing vessels.
composed of 20 and 60 seconds averaged Sound
Pressure Levels (SPLs) data in a wide range of frequencies 3.2. Source level estimation
recorded at the nine stations. These datasets are available
on Zenodo (https://doi.org/10.5281/zenodo.7472152) and
some analyses are in [
        <xref ref-type="bibr" rid="ref6">12</xref>
        ]. Noise levels can vary based on
the frequency at which they are measured. The European
Marine Strategy Framework Directive (MSFD) adopts 63
Hz and 125 Hz frequencies as standard. In this paper, we
focus on the 63 Hz frequency for assessing vessel noise
and the dataset containing the 20 seconds SPL in such
a frequency. The 125 Hz frequency could be chosen as
well without any structural change to the model.
      </p>
      <p>The principal sources of underwater noise are machinery,
propellers, and cavitation. Our AIS dataset includes some
data of the fishing boats, such as the length overall (LOA)
of the boat, the horsepower of the engine and also the
ifshing gear used. However, the dataset does not include
direct measurements of the sound pressure levels of the
ifshing vessels. So, we need to infer such values
considering the general literature about underwater noise and the
measurements provided by the SOUNDSCAPE project.</p>
      <p>
        A first issue is how to evaluate the increase of noise
3.1. Sound propagation model when a trawler is in action. Measurements with
research vessels have 10dB of additional noise when
trawlThe basic objective of noise modelling is to assess how ing, regardless of speed, which can be much lower with
much noise a particular activity will generate in the sur- trawl [18]. We adopt the same increase in our model.
rounding area [
        <xref ref-type="bibr" rid="ref7">13</xref>
        ]: the aim is to model the received noise To recover the sound pressure level of a specific fishing
level (RL) at a given point (or points), based on the sound vessel, we consider a clean set of measurements coming
source level (SL) of the noise source, and the amount of from the SOUNDSCAPE project. In particular, we use the
sound energy which is lost as the sound wave propagates measurements of a hydrophone located at 13∘ 15.720
from the source to the receiver (transmission loss or prop- 44∘ 46.953 , in the middle of Adriatic Sea, with
42magation loss, TL). The relation between these quantities depth, terrigenous sandy seafloor, taken on March 31,
is encapsulated in the classic sonar equation [
        <xref ref-type="bibr" rid="ref8">14</xref>
        ]: 2021 between 17:40 and 17:55. Here, there is a unique
ifshing vessel crossing nearby the hydrophone. Thus,
 =  −   (1) the recorded noise is associated to the trip 1001 of MMSI
24705198 (length=27.45m, engine power=835Hp), while
trawling at about 3.9knots between 500m and 60m from
the hydrophone. This allows us, by linear regression on
SPL measurements, to assign a vessel of 835Hp engine
an estimated source level of 143dB when not trawling.
      </p>
      <p>Finally, in order to associate the source levels to all the
other vessels, we need to relate the sound pressure level
to the engine horsepower, the latter being available in our
dataset. If we assume that a constant fraction of engine
power gets converted into acoustic power (i.e. acoustic
power scales linearly with horsepower), this means that
3dB are added per doubling in engine power. We adopt
such a linear progression on logarithmic scale of engine
power. For example, for engines between 100Hp and
835Hp we obtain a range between 134dB and 143dB.</p>
      <sec id="sec-1-1">
        <title>This straightforward expression is fundamental to mod</title>
        <p>elling underwater noise, and its simplicity belies
considerable complexity in the task of computing the transmission
loss in order to estimate the received noise.</p>
        <p>
          Sound propagation is profoundly afected by some
factors such as the conditions of the surface and bottom
boundaries of the sea as well as by the variation of sound
speed within the ocean volume [
          <xref ref-type="bibr" rid="ref9">15</xref>
          ]. Air has a density
800 times lower than the density of water, therefore a
sound that propagates inside the water has a higher
propagation speed, equal to about 1500 /, against about
340 / of air. So, with a sampling period of 20 seconds
it makes sense to neglect propagation time within the
circle of influence and, within the sampling interval,
consider the noise level distribution as stationary. When a
boat switches the engine on, we consider the noise as
instantaneously propagated in the area of influence within
the sampling period, without actually propagating the
wavefront in space-time.
        </p>
        <p>Sound propagation speed is also influenced by various
chemical-physical factors such as temperature, salinity</p>
        <sec id="sec-1-1-1">
          <title>3.3. Transmission loss</title>
        </sec>
      </sec>
      <sec id="sec-1-2">
        <title>In the simplest scenario, transmission loss is modelled by</title>
        <p>
          a spherical spreading law, of the following form, where
 is the distance from the noise source in meters [
          <xref ref-type="bibr" rid="ref7">13</xref>
          ].
  = 20 × 10()
        </p>
      </sec>
      <sec id="sec-1-3">
        <title>At a measurement point that is equally distant from two</title>
        <p>If we consider again the measurements for trip 1001 equally-powerful sound sources, the two contributions
described in the previous section, a simple linear regres- would add up in magnitude and phase. However,
dission on log2() gives, with multiple R-squared equal to tinct and independent sources, such as two boats, can
0.77, the estimated slope of -6.15dB, which is close to be treated as incoherent sources. Even in a narrow
frethe theoretical -6dB per doubling of distance of spherical quency band, there will be a random phase diference
spreading [19] (inverse square law). In practice, given a between the two sources. Therefore, the noise in a 1/3
reference reliable measurement in realistic condition, we octave band around 63Hz (or in any other band) gets
can justify the adoption of simple spherical propagation. increased by 3dB if there are two equal contributions, by</p>
        <p>Simple geometric spreading does not take into account 6dB if there are four equal contribution, etc. [22]. More
the environmental characteristics that are needed for a precisely, what does add are the intensities, after
invermore accurate estimation of transmission loss. There- sion of the logarithmic function that defines the decibel.
fore, it can only be used in uncomplicated propagation Generally and precisely, if we have  sources reaching a
scenarios, or at frequencies that are barely afected by en- cell with  diferent values of RL, the total noise level is:
vironmental features. In more realistic models, what we
want to consider are all the environmental aspects that  = 10× 10(101/10 +. . .+10/10) (5)
influence the sound propagation underwater, by adding
a term proportional to distance from the source [19]:
  =   +  × 
(3)</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>4. Model implementation and preliminary results</title>
      <p>(2)
The received noise level (RL) at a given point is computed
starting from Equation 1. However, the formula does not
consider the ambient (or background) noise, which is
present in the marine environment. In fact, when the
noise generated by a source is the same as that of the
background, this noise is no longer distinguishable and,
consequently, it is no longer perceived. The formula for
calculating  then becomes the following:</p>
      <p>=  −   − 
where  is the sound source level,   the
transmission loss and  the ambient noise.</p>
      <p>
        We use the SOUNDSCAPE measurements [
        <xref ref-type="bibr" rid="ref6">12, 21</xref>
        ] also
to estimate the ambient noise. Being the
frequencydependent noise levels very diferent at the nine diferent
stations, for a general ambient noise of the Northern
Adriatic Sea, we decided to consider the overall median noise
level value at 63Hz, our reference frequency, which is
85dB according to their measurements (see Fig.2 in [
        <xref ref-type="bibr" rid="ref6">12</xref>
        ]).
      </p>
      <p>
        In the literature there are several models for predicting
the absorption of sound in sea water which retain the We develop a framework for the spatio-temporal
characessential dependence on temperature, pressure, salinity, terisation of underwater noise. We partition the Northern
acidity and other environmental features. In the Francois Adriatic Sea into a regular grid composed of square
spaand Garrison model [20] the general equation for the tial cells (1km× 1km) and we estimate the noise generated
absorption of sound in sea water, at a given frequency by the fishing vessels in any cell at regular time intervals
 , is given as the sum of contributions from boric acid, (every 20 seconds).
magnesium sulfate, and pure water. At a frequency below First, as described in Section 4.1, starting from the AIS
100Hz only the first contribution is relevant, although  data, we create a set of semantic trajectories representing
is approximately of the order of 10− 6/ [19]. the behaviour of the fishing vessels. For this task, we
build on our previous work [
        <xref ref-type="bibr" rid="ref14 ref15">3, 4</xref>
        ]. Then in Section 4.2 we
proceed with the description of the algorithm computing
3.4. Ambient noise the map of the underwater noise. Finally, in Section 4.3
we delve into the analyses and results, along with the
presentation of underwater noise maps generated through
our sound propagation model.
      </p>
      <sec id="sec-2-1">
        <title>4.1. Creation and enrichment of the trajectories of fishing vessels</title>
        <p>
          The first step consists in reconstructing the trajectories
of the fishing vessels starting from terrestrial Automatic
(4) Identification System (AIS) data, i.e., the AIS data sent by
ships and received by ground stations on the Italian coast
of Northern Adriatic Sea. AIS data contains the
identiifer of the vessel, called MMSI, its position and the time
instant of the bearing, together with other information,
like speed and course. Since boat positions are recorded
every 10-20 seconds, that correspond to a small spatial
displacement of the boat, trajectories are reconstructed
by linear interpolation of the AIS data. Next, in order
to organise the data into distinct trajectories followed
by the fishing vessels, also called trips, the continuous of the spatio-temporal point , i.e., its coordinates, and
movement of a vessel is split according to several criteria d(1, 2) for the Euclidean distance between two spatial
(see [
          <xref ref-type="bibr" rid="ref15">4</xref>
          ] for more details). points 1 and 2.
        </p>
        <p>A reconstructed trajectory consists of a sequence of
segments obtained by connecting consecutive AIS points. Algorithm 1 Given  ℛ, T, G and  , the algorithm
The next step is to enrich such trajectories with diferent computes the total received noise level for each  ∈ G
kinds of semantic information, called aspects, following 1: Let : map⟨cell , float⟩
the MASTER model [23]. The model distinguishes among 2: for each  ∈  ℛ do
long-term aspects, (associated with the full trajectory), 3: for each  ∈ T do
volatile aspects (associated with the segments) and perma- 4: p = ((), )
nent aspects (associated with the fishing vessel, derived 5:  = ..ℎ + 10 · . ℎ
from the MMSI). A long-term aspect is the length and the 6:  = 10(− )/20
duration of the trajectory whereas a permanent aspect, 7: for each  = (, ) ∈ G. d(.ctd ,  ↓ 1) &lt;  do
defined for this specific work, is the sound level asso- 8:  = d(.ctd ,  ↓ 1)
ciated with the engine horsepower of the vessel. This 9:  = − 20· log10()− . · − 
aspect is computed as specified in Section 3.2, and it is 10: [] = [] + 10/10
denoted by .hpSL. A crucial volatile aspect is the 11: for each  ∈ G do
activity carried out by the fishing vessel. We consider the 12: . = 10 · log10([])
following activities: in port, entering to and exiting from
the port, navigation and fishing . The in port, entering to The noise is estimated every 20 seconds, i.e., in the
port and exiting from port situations can be deduced from time instants belonging to T. The centroids of the grid
the position of the extremes of the segment w.r.t. the port cells are considered as listening points (we have 43, 386
area. If none of the previous cases applies, the fishing of these points), and consequently the noise perceived by
or navigation activities are established on the basis of a centroid models the noise in all the points of the cell at
the average speed of the boat. This aspect is of funda- a certain time instant.
mental importance for the underwater sound propaga- In order to build the noise maps, we get the positions
tion model, because when a boat is fishing it produces a of all the fishing vessels at the same time instants, i.e.
much more intense sound. Given a spatio-temporal point every 20 seconds. We use these points to calculate the
 = ((, ), ) belonging to a segment  ((, ) ∈ ) in noise generated by the fishing vessels (line 5) obtained
a certain time interval  ( ∈ ), we set .fishingto 1 by adding to the sound level associated with the boat
if the activity associated to the segment  during  is (mmsi.hpSL) the noise due to the fishing activity ( 10dB
ifshing , and to 0 otherwise. as explained in Section 3.2) if it occurs in . In line 6,
the sound propagation radius  (expressed in meters),
4.2. Construction of the noise map i.e. the distance at which the noise generated by the
ifshing vessel is no longer perceptible, is computed. This
is obtained by using Equation 4 and setting the received
noise () to 0:
In this section we describe the procedure for assigning
a noise level induced by the fishing vessels to the cells
of a regular grid, partitioning the Northern Adriatic Sea,
every 20 seconds. We define G = S × T as a set of
spatiotemporal cells, where S is a regular grid consisting of
1km× 1km spatial cells, and T is a set of time instants,
such that 0 is a fixed time instant and +1 =  + 20.</p>
        <p>Hence each spatio-temporal cell  ∈ G consists of two
components, (, ), representing the spatial cell  at
time instant , and it has three annotations: (i)  stores
the absorption of sound as defined in Section 3.3; (ii)
ctd contains the coordinates of the centroid of ; (iii) rl
records the total noise perceived in , i.e., by the centroid
of  at time instant .</p>
        <p>Let  ℛ be the set of the trajectories of the fishing
vessels, G be the spatio-temporal grid, and  be the
ambient noise for the Northern Adriatic Sea, equal to
85dB, as reported in Section 3.4. Algorithm 1 computes
the total received noise level for every cell  ∈ G. We
use  ↓ 1 to denote the projection on the first component
0 =  −   − 
In computing the radius we ignore the coeficient of
absorption  in Equation 3 for   and with some simple
mathematical steps we get  = 10(− )/20. Note
that since  is very small (on the order of 10− 7/)
ignoring its contribution simplifies the calculation while
producing a negligible approximation. Also observe that
in this way we overestimate  hence the approximation
is safe. Then, we propagate the noise in the cells that are
within the radius  (lines 7-10), summing up the received
noise levels. Finally, by using Equation 5, we combine all
the received sound levels to obtain the total noise level
to be associated with the cell.</p>
        <p>Concerning the complexity, let  = | ℛ|,  = |T|,
 = |G|,  be the area of a grid cell and  the largest
radius arising in line 7. Then the complexity is ( ·
 · 2/ + ). The factor 2/ is motivated by the fact
every 20 seconds in the cell and dividing it by the number
of values. Instead, Figure 2 reports the peak maps for
each month: each cell is characterised by the maximum
noise detected in that cell (the peak of the month in the
cell). It is worth recalling that Equation 4 is employed for
computing the received sound level in each cell. Thus,
the sound depicted in the maps represents the noise
exceeding the ambient noise perceived by each cell centroid.
that in line 7 we consider the cells in a neighbourhood
of radius . Note that  depends on the source level, Figure 1 shows that in April 2020 some zones in the
which is bounded by the maximum engine power of the central and in the central-southeast area are totally not
exmonitored fishing vessels (in our case  ≤ 3, 548). plored compared to January 2020. In particular, there are</p>
        <p>In order to process all this data and build our model, more cells with a medium-low underwater sound (0-3dB
we used a machine that features 32 Intel(R) Xeon(R) CPU on average) in April (3823 more). This perfectly reflects
E5-4610 v2 processors running at 2.30GHz, ofering mul- the reduction of boats and trips during the COVID-19
pantithread performance. It is equipped with 256GB of DDR4 demic period. Instead, in April, there is a slight increase
ECC RAM and it utilises a 500GB RAID 5 storage con- in cells characterised by a high average underwater sound
ifguration. We evaluated the time for constructing the value (&gt;4dB), 499 additional cells with respect to January,
model assuming a daily data processing and consider- located mainly near the coasts. This phenomenon could
ing 7 days in January 2020. With an average of 400, 499 be explained by the fact that, during COVID-19, vessels
AIS data and 1, 050, 651 timestamps (|T|) per day, the reduced the navigation time, preferably staying near the
construction of the model requires about 34 minutes. coast, thus limiting the fuel consumption and the related
costs. A consequence of this behaviour is the increase of
4.3. Preliminary analyses and results the average sound level in coast areas which have seen a
larger concentration of vessels.</p>
        <p>
          For the implementation, we used MobilityDB [
          <xref ref-type="bibr" rid="ref17">6</xref>
          ], a mov- These phenomena are even more evident in the map of
ing object database that extends the type system of Post- the noise peaks in Figure 2. In fact, we can observe that
greSQL and PostGIS with abstract data types supporting in April the number of cells characterised by high peaks
temporal types and spatio-temporal operators to manage is smaller than in January. In particular, the number of
moving objects. The ofered constructs perfectly suite the cells with peaks above 35dB in January exceeds that in
representation of trajectories, which can be reconstructed April by 5166 and even in this case in April the areas with
from a sequence of spatio-temporal data, and allow for larger peaks are near the coast.
semantic enrichment of trajectories. Moreover, it ofers Finally, our implementation provides also the
possispatial and temporal indexes to improve the eficiency of bility of visualizing the spreading of underwater noise
the general procedure described in Algorithm 1. in time for a set of vessels. By using QGIS
TimeMan
        </p>
        <p>We next present some analyses performed by using ager, it is possible to generate animations which, for a
our spatio-temporal characterization of the underwater selection of vessels, visualise the noise propagation
deternoise. For our experiments we focus on two months, mined by these vessels moving in the Northern Adriatic
January and April 2020, with the aim of investigating Sea. The user can choose the boats according to
sevthe efect of the COVID-19 pandemic outbreak on under- eral criteria, such as the range of horsepower, the MMSI,
water sound pressure levels due to the fishing activities the length overall, or the activity, and the time window
in the Northern Adriatic Sea. January 2020 represents of the analysis. In Figure 3 we can observe a diferent
a pre-COVID-19 period with normal fishing activities sound propagation depending on the engine power of
while April 2020 is a month where several containment the vessel and its activity. We focus on four vessels: 
measures were adopted. In particular in Italy a lockdown has engine power 959.4Hp (SL 146), vessel  246.4Hp
was imposed from March 9, 2020 until May 18, 2020. Ta- and  335Hp (having the same SL 140) and vessel 
ble 1 reports the number of vessels, AIS data and trips 679.6Hp (SL 143). Vessels  and  are navigating but
in these months. The first remark is that there is a clear not fishing (red dot) and, as expected, the sound
propdrop in the number of boats during the pandemic period, agation is limited and it is greater for vessel  which
leading to a dramatic reduction in AIS data and trips. has a greater engine power. Vessels  and  are fishing</p>
        <p>We generated two diferent maps to compare the un- (light blue dot): this increases the noise level and thus the
derwater sound in these two periods. Figure 1 reports the propagation radius. It is worth noticing the diference
average underwater noise value estimated in each cell between  and  having the same SL but  is fishing,
for January and April. The average value for a cell is cal- and between  and , with  having a greater engine
culated by summing up the underwater noise computed power and  fishing. These comparisons highlight how
(a) January.</p>
        <p>(b) April.
a fishing vessel generates more substantial underwater
noise than a boat merely sailing, even when the latter
has higher horsepower.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>5. Concluding remarks</title>
      <p>In this work we proposed an approach for the
characterisation of underwater noise in the Northern Adriatic Sea,
based on the reconstruction of the fishing vessels’
trajectories and on the propagation of their noise along the
trajectories. The approach has many advantages. Since
we reconstruct trajectories starting from AIS data, we
can readily obtain noise maps at diferent time
granularities, e.g., on a daily basis, or monthly (as shown in
the paper) or seasonally. The framework can be used
in absence of hydrophones, which can be expensive to
install and maintain and cover a limited area. Besides,
it allows for distinguishing contributions to the
underwater noise from diferent ship types, not only fishing
vessels but also tankers or cruise ships, provided that
the AIS data are available. The noise propagation model
used in our implementation, although very simple and
calibrated on a single measured trajectory, is suficient to
demonstrate the advantages of semantic trajectories for
a first and prompt characterisation of underwater noise.
More complex calculations, relaxing some of the
assumptions and exploiting the available geographic as well as
boat-related information, may actually be introduced for
a more accurate characterisation at diferent frequencies,
without altering the algorithmic and information
structure.</p>
      <p>A drawback of our approach is that the boats without
an AIS transceiver cannot be modelled. It is therefore
not possible to estimate their contribution to the total
noise, which, as a consequence, could be underestimated.
This means that areas of the sea showing high values
of underwater noise are surely risky for the underwater
world, whereas areas that result to be quiet could hide
some untracked noise.</p>
    </sec>
    <sec id="sec-4">
      <title>Acknowledgments</title>
      <sec id="sec-4-1">
        <title>This publication was supported by the European Union - Next Generation EU - Project ECS000043 - Innovation</title>
        <p>Ecosystem Program "Interconnected Northeast Innovation
Ecosystem (iNEST)", CUP H43C22000540006 and by the
MASTER project funded by the European Union’s
Horizon 2020 research and innovation programme under the
Marie-Sklodowska Curie grant agreement N. 777695. We
thank Fabio Pranovi for providing us the AIS data and
his valuable knowledge as domain expert.</p>
      </sec>
    </sec>
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