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Regression methods for evaluation of the underwater noise levels in the Slovenian Sea Cover

Regression methods for evaluation of the underwater noise levels in the Slovenian Sea

By:   
Open Access
|Dec 2021

Figures & Tables

Table 1:

Examples of underwater noise levels related mainly to the ship traffic in the global seas and oceans.

Location, depth of the hydrophone and depth of the sea waterYear of studyUnderwater noise levels at different frequenciesLocation, depth of the hydrophone and depth of the sea waterYear of studyUnderwater noise levels at different frequencies
Scotian Shelf, Canada, hydrophone depth of 31 m and water depth of 79 m [3]1972–1985Winter average noise levels at zero wind speed [3]:
30 Hz: 90.8 dB re μPa2/Hz
45 Hz: 90.5 dB re μPa2/Hz
80 Hz: 87.9 dB re μPa2/Hz
150 Hz: 81.9 dB re μPa2/Hz
300 Hz: 74.1 dB re μPa2/Hz
600 Hz: 64.4 dB re μPa2/Hz
900 Hz: 64.3 dB re μPa2/Hz
Ramsey Sound, Pembrokeshire, West Wales, UK, hydrophone depth of 20 m and a water depth of 460 m [7]2009Sound pressure levels [7]:
Between 5 Hz and 10 Hz:
  • - 92.6 dB re 1 μPa ± 3.9 dB re 1 μPa during spring

  • - 104.7 dB re 1 μPa ± 2.2 dB re 1 μPa during summer

Around 100 Hz:
  • - 85.9 dB re 1 μPa ± 2.4 dB re 1 μPa during spring

  • - 104.6 dB re 1 μPa ± 2.4 dB re 1 μPa during summer

India, shallow water, hydrophone depth of 5 m and water depth of 25 m [4]2006Average noise levels [4]:
98 Hz: 130.3 dB re μPa/√Hz
195 Hz: 128.6 dB re μPa/√Hz
293 Hz: 127.3 dB re μPa/√Hz
586 Hz: 127.6 dB re μPa/√Hz
977 Hz: 127.4 dB re μPa/√Hz
3027 Hz: 127.1 dB re μPa/√Hz
4023 Hz: 127.1 dB re μPa/√Hz
Guanabara Bay, SE Brazil, hydrophone depth of 2 m and a water depth of 4 m [8]2011–2012The highest mean sound pressure level [8]):
At 187 Hz:
111.6 ± 9.0 dB re 1 μPa
At 15.89 kHz:
76.2 ± 8.3 dB re 1 μPa
Indian Ocean, the lagoon of a coral atoll, hydrophone depth of 2–15 m and water depth of 50 m [5]2005Spectral maxima observed at 1 kHz and 7.5 kHz [5]:
1,000 Hz: 72 dB re μPa/√Hz
2,000 Hz: 65 dB re μPa/√Hz
7,500 Hz: 80 dB re μPa/√Hz
Port of South Louisiana (H-3), Port of Houston (H-1), NE Gulf of Mexico, hydrophone depth from 250–1,370 m [9]2010–2012The highest values L01 (T = 1 h) at two sites (H-3 and H-1) nearest to high-shipping lanes [9] in LF band (10–500 Hz) were:
130 dB re 1 μPa and 128 dB re 1 μPa, respectively
(L01 = sound levels that were exceeded 1% of the time)
Northeast Pacific Ocean, SW of the San Nicolas Island, California, USA, hydrophone depth of 1,090–1,106 m [6]1966 – 2006Mean ambient noise levels:
−30–50 Hz in 1964–1966: 73–75 dB re 1 Pa2/Hz
−30–50 Hz in 2003–2004: 85 dB re 1 Pa2/Hz [6]
Celtic Sea, northern and southern North Sea in UK, hydrophone depth of 100 m and a water depth of 200 m [10]2013–2014Median noise levels for 1/3 octave bands from 63 Hz to 500 Hz [10]:
81.5–95.5 dB re 1μPa
Table 2:

The Pearson correlation coefficients between the dependent variable (Leq,63Hz) and the independent variables (ρL,2NM, ρL,5NM, ρL,Trieste, ρL,Venice., dreadg. act., clean. act., vv and hp) in all measuring periods.

Pearson's correlation coefficientFrom 13.02.2015 to 05.05.2015From 26.09.2015 to 31.12.2015From 18.08.2016 to 01.11.2016From 06.07.2017 to 07.08.2017From 18.08.2018 to 31.12.2018
r (vv)0.580.510.540.390.35
r (hp)−0.020.060.080.080.07
r (ρL,2NM)0.13−0.060.05−0.040.05
r (ρL,5NM)0.06−0.060.020.090.08
r (ρL,Trieste)−0.02−0.030.080.120.12
r (ρL,Venice)−0.10−0.05−0.050.01−0.11
r (dredg. act.)n.a.0.31n.a.n.a.n.a.
r (clean. act.)n.a.n.a.−0.10n.a.n.a.
Table 3:

The Pearson correlation coefficients between the dependent variable (Leq,125Hz) and the independent variables (ρL,2NM, ρL,5NM, ρL,Trieste, ρL,Venice, dreadg. act., clean. act., vv and hp) in all measuring periods.

Pearsons correlation coefficientsFrom 13.02.2015 to 05.05.2015From 26.09.2015 to 31.12.2015From 18.08.2016 to 01.11.2016From 06.07.2017 to 07.08.2017From 18.08.2018 to 31.12.2018
r (vv)0.390.180.550.240.15
r (hp)−0.020.010.090.040.02
r (ρL,2NM)0.110.060.070.020.12
r (ρL,5NM)0.050.05−0.040.170.02
r (ρL,Trieste)−0.020.020.010.180.04
r (ρL,Venice)−0.08−0.01−0.09−0.01−0.10
r (dredg. act.)n.a.0.10n.a.n.a.n.a.
r (clean. act.)n.a.n.a.−0.10n.a.n.a.
Table 4:

Multiple correlation coefficients (r) between dependent variables (Leq,63Hz and Leq,125Hz) and independent variables (ρL,2NM, ρL,5NM, ρL,Trieste, ρL,Venice, dreadg. act., clean. act., vv and hp) in all measuring periods.

Multiple correlation coefficientsFrom 13.02.2015 to 05.05.2015From 26.09.2015 to 31.12.2015From 18.08.2016 to 01.11.2016From 06.07.2017 to 07.08.2017From 18.08.2018 to 31.12.2018
r (Leq,63Hz)0.590.550.570.400.40
r (Leq,125Hz)0.410.210.590.290.23
Table 5:

Coefficients of determination (R2) between the dependent variables (Leq,63Hz and Leq,125Hz) and the independent variables (ρL,2NM, ρL,5NM, ρL,Trieste, ρL,Venice, dreadg. act., clean. act., vv and hp) in all measuring periods.

Coefficients of determinationFrom 13.02.2015 to 05.05.2015From 26.09.2015 to 31.12.2015From 18.08.2016 to 01.11.2016From 06.07.2017 to 07.08.2017From 18.08.2018 to 31.12.2018
R2 (Leq,63Hz)0.350.300.330.160.16
R2 (Leq,125Hz)0.170.050.340.090.05
Table 6:

Significant independent variables with p-values lower than 0.05, meaning that there was a more than 95 % probability that these variables were related to the dependent variable Leq,63Hz. The grey fields indicate insignificant independent variables, with p-values greater than 0.05. The abbreviation n.a. means not applicable.

p-valuesFrom 13.02.2015 to 05.05.2015From 26.09.2015 to 31.12.2015From 18.08.2016 to 01.11.2016From 06.07.2017 to 07.08.2017From 18.08.2018 to 31.12.2018
p (vv)0.0000.0000.0000.0000.000
p (hp)0.0010.0610.2400.9230.010
p (ρL,2NM)0.0050.6910.0480.0030.036
p (ρL,5NM)0.0070.0150.0000.5560.000
p (ρL,Trieste)0.3270.7940.0000.1190.000
p (ρL,Venice)0.0370.0870.0230.3420.000
p (dredg. act.)n.a.0.000n.a.n.a.n.a.
p (clean. act.)n.a.n.a.0.002n.a.n.a.
Table 7:

Significant independent variables with p-values less than 0.05, meaning that there was a more than 95 % probability that these variables were related to the dependent variable Leq,125Hz. The grey fields indicate insignificant independent variables with p-values greater than 0.05. The abbreviation n.a. means not applicable.

p-valuesFrom 13.02.2015 to 05.05.2015From 26.09.2015 to 31.12.2015From 18.08.2016 to 01.11.2016From 06.07.2017 to 07.08.2017From 18.08.2018 to 31.12.2018
p (vv)0.0000.0000.0000.0000.000
p (hp)0.0190.5090.1110.8670.599
p (ρL,2NM)0.0970.0220.0000.0330.000
p (ρL,5NM)0.0000.0000.0000.2150.002
p (ρL,Tireste)0.0010.0000.0000.0330.000
p (ρL,Venice)0.2560.1100.0360.0000.000
p (dredg. act.)n.a.0.000n.a.n.a.n.a.
p (clean. act.)n.a.n.a.0.021n.a.n.a.
Table 8:

Regression equations in which the dependent variable Leq,63Hz was predicted by the significant independent variables (ρL,2NM, ρL,5NM, ρL,Trieste, ρL,Venice, dreadg. act., clean. act., vv and hp).

Measuring periodsRegression equations
13.02.2015–05.05.2015Leq,63Hz = 1.378*vv − 3.898*hp + 0.357*ρL,2NM + 0.103*ρL,5NM – 0.014*ρL,Venice + 63.450
26.09.2015–31.12.2015Leq,63Hz = 1.117*vv − 0.093*ρL,5NM + 4.304*dred.act. + 67.800
18.08.2016–01.11.2016Leq,63Hz = 2.227*vv + 0.165*ρL,2NM – 0.627*ρL,5NM + 0.528*ρL,Trieste – 0.012*ρL,Venice – 3.1*clean.a. + 81.77
06.07.2017–07.08.2017Leq,63Hz = 2.762*vv − 0.196*ρL,2NM + 70.065
18.08.2018–31.12.2018Leq,63Hz = 1.555*vv + 1.116*hp + 0.112*ρL,2NM − 0.216*ρL,5NM + 0.268*ρL,Trieste – 0.022*ρL,Venice + 73.576
Table 9:

Regression equations in which the dependent variable Leq,125Hz was predicted by the significant independent variables (ρL,2NM, ρL,5NM, ρL,Trieste, ρL,Venice, dreadg. act., clean. act., vv and hp).

Measuring periodsRegression equations
13.02.2015–05.05.2015Leq,125Hz = 0.752*vv − 2.659*hp + 0.263*ρL,5NM – 0.153*ρL,Trieste + 77.786
26.09.2015–31.12.2015Leq,125Hz = 0.248*vv + 0.192*ρL,2NM + 0.167*ρL,5NM – 0.117*ρL,Trieste + 1.181*dred. + 77.375
18.08.2016–01.11.2016Leq,125Hz = 1.869*vv + 0.265*ρL,2NM – 0.551*ρL,5NM + 0.368*ρL,Trieste – 0.009*ρL,Venice – 1.87* clean.a. + 84.6
06.07.2017–07.08.2017Leq,125Hz = 1.063*vv − 0.122*ρL,2NM + 0.151*ρL,Triestre – 0.017*ρL,Venice + 71.912
18.08.2018–31.12.2018Leq,125Hz = 0.562*vv + 0.364*ρL,2NM − 0.126*ρL,5NM + 0.121*ρL,Trieste – 0.017*ρL,Venice + 91.705
Language: English
Page range: 17 - 27
Submitted on: Jul 12, 2021
Accepted on: Jul 15, 2021
Published on: Dec 11, 2021
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2021 Andreja Popit, published by Sciendo
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