Submitted:
25 March 2026
Posted:
26 March 2026
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Abstract
Keywords:
1. Introduction
2. Literature Review
3. Hypotheses
4. Materials and Methods
4.1. Data
4.2. Variable Construction
4.3. Model Specification
4.4. Estimation Strategy
5. Results
5.1. Baseline Results

5.2. Results by Vessel Type
6. Discussion
7. Conclusions
Ethical Approval
Author Contributions
Data Availability Statement
Conflicts of Interest
References
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- Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
| Panel A: Description of variables | |||||
| Variable | Coding | Definition | |||
| Baltic Dry Index | Natural Logarithm of the weighted average of freight rates over 26 routes issued by the Baltic Exchange | ||||
| Price of Brent Oil | Natural logarithm of the Price of Brent crude oil in $/bbl | ||||
| Iron Ore | Iron Ore Spot price CFR, N.China, in $/tonne | ||||
| Fleet Growth Fleet Growth in Dry-Bulk/Tanker/General Cargo |
FGB |
Monthly increase in the total fleet Monthly increase in the Dry-Bulk/Tanker/General Cargo fleet |
|||
| IACS IACSB/IACST/IACSG |
LIACSB |
Natural logarithm of the number of ships detained with IACS classification Natural logarithm of the number of Dry-Bulk/Tanker/General Cargo detained with IACS classification |
|||
| Ships Detained | Natural logarithm of the number of ships detained across types | ||||
| Dry-Bulk/Tankers/General Cargo | Natural logarithm of the number of Dry-Bulk/Tankers/General Cargo ships detained | ||||
| Asian Ports |
LPASB/LPAST/LPASG |
Natural logarithm of the Asian Detention Ports, all ships Natural logarithm of the Asian Detention Ports, Dry-Bulk/Tanker/General Cargo ships |
|||
| European Ports |
LPERB/LPERT/LPERG |
Natural logarithm of the European Detention Ports all ships Natural logarithm of the European Detention Ports Dry-Bulk/Tanker/General Cargo ships |
|||
| Ships with White Flag |
LWFB/LWFT/LWFG |
Natural logarithm of the detained Ships with White Flag Natural logarithm of the detained Dry-Bulk/Tankers/General Cargo Ships with White Flag |
|||
|
Safety and Environment Dry-Bulk/Tankers/General Cargo Ships with Grey Flags American Ports |
LISMB/LISMT/LISMG GF PAM |
Natural Logarithm of the Number of Deficiencies associated with Safety and Environment Natural Logarithm of the Number of Deficiencies Dry-Bulk/Tankers/General Cargo associated with Safety and Environment Ships with Grey Flags Number of detentions by American Ports |
|||
| Panel B: Descriptive statistics | |||||
| Mean | Median | Max | Min | Std. Dev | |
| PARIS MoU | ALL SHIPS | ||||
| LSD | 3.741 | 3.773 | 4.644 | 1.098 | 0.380 |
| LPER | 3.678 | 3.701 | 4.454 | 0.000 | 0.426 |
| LPAS | 2.333 | 2.000 | 13.000 | 0.000 | 2.392 |
| LWF | 3.377 | 3.367 | 4.263 | 0.693 | 0.387 |
| LIACS | 3.877 | 3.892 | 4.290 | 3.496 | 0.190 |
| LISM | 6.265 | 6.359 | 7.360 | 3.583 | 0.522 |
| PARIS MoU | DRY-BULK | ||||
| LSDB | 3.556 | 3.583 | 4.466 | 1.098 | 0.399 |
| LPERB | 5.652 | 5.674 | 6.428 | 1.973 | 0.426 |
| PASB | 1.768 | 1.515 | 9.849 | 0.000 | 1.811 |
| LWFB | 3.068 | 3.059 | 3.954 | 0.385 | 0.387 |
| LIACSB | 3.478 | 3.450 | 4.04 | 0.303 | 0.690 |
| LISMB | |||||
| PARIS MoU | TANKERS | ||||
| LSDT | 1.333 | 1.386 | 2.398 | 0.000 | 0.554 |
| LPERT | 3.064 | 3.070 | 3.811 | 1.754 | 0.308 |
| PAST | 1.803 | 1.521 | 9.886 | 0.000 | 1.822 |
| LWFT | 3.100 | 3.070 | 3.965 | 1.900 | 0.324 |
| LIACST | 1.324 | 1.305 | 2.795 | 0.000 | 0.615 |
| LISMT | 5.061 | 5.136 | 5.945 | 2.895 | 0.422 |
| TOKYO MoU | ALL SHIPS | ||||
| LSD | 4.428 | 4.511 | 5.037 | 3.091 | 0.424 |
| LPER | 0.586 | 0.693 | 1.791 | 0.000 | 0.508 |
| LPAS | 4.405 | 4.499 | 5.010 | 2.990 | 0.437 |
| LWF | 4.125 | 4.277 | 4.779 | 1.609 | 0.489 |
| LIACS | 3.980 | 4.045 | 5.929 | 1.253 | 1.024 |
| LISM | 0.532 | 0.544 | 0.612 | 0.371 | 0.051 |
| TOKYO MoU | DRY-BULK | ||||
| LSDB | 3.338 | 3.401 | 3.912 | 2.398 | 0.312 |
| LPERB | -0.474 | -0.476 | 0.972 | -1.544 | 0.591 |
| LPASB | 3.338 | 3.393 | 3.905 | 2.302 | 0.292 |
| LWFB | 3.045 | 3.144 | 3.625 | 0.726 | 0.377 |
| LIACSB | 3.850 | 3.818 | 4.090 | 1.867 | 0.707 |
| LISMB | |||||
| TOKYO MoU | GEN. CARGO | ||||
| LSDG | 3.423 | 3.496 | 4.344 | 1.609 | 0.59 |
| LPERG | -0.371 | -0.364 | -0.909 | -1.670 | 0.624 |
| LPASG | 3.409 | 3.492 | 4.337 | 1.514 | 0.591 |
| LWFG | 3.137 | 3.282 | 3.984 | 0.624 | 0.594 |
| LIACSG | 3.981 | 4.045 | 5.929 | 1.253 | 1.024 |
| LISMG | 4.289 | 4.444 | 5.464 | 2.514 | 0.701 |
| SHIPPING | SECTOR | INDICATORS | |||
| LBDI | 7.090 | 7.042 | 8.480 | 5.726 | 0.527 |
| LIRON | 4.602 | 4.609 | 5.368 | 3.679 | 0.405 |
| LBRENT | 4.265 | 4.273 | 4.832 | 3.281 | 0.364 |
| FG | 4.097 | 3.600 | 9.800 | 2.300 | 2.339 |
| FGB | 6.673 | 4.300 | 17.600 | 1.900 | 4.902 |
| FGT | 2.090 | 1.873 | 12.373 | -4.980 | 3.117 |
| FGG | 6.539 | 3.950 | 16.70 | 1.60 | 5.096 |
| Estimation by GMM(TOKYO) (1) | Estimation by 3SLS(TOKYO) (2) | Estimation by GMM(PARIS) (3) | Estimation by 3SLS(PARIS) (4) | |||||
| Independent Variables | Dep.Var. LSD |
Dep.Var. LBDI |
Dep.Var. LSD |
Dep.Var. LBDI |
Dep.Var. LSD |
Dep.Var. LBDI |
Dep.Var. LSD |
Dep.Var. LBDI |
| C | 0.672*** (0.106) |
-6.021*** (2.010) |
0.652*** (0.193) |
-5.715** (2.710) |
1.111*** (0.242) |
-2.283 (1.564) |
1.137*** (0.365) |
-2.223 (1.433) |
| LBDI (-1) | 0.053** (0.024) |
0.057 (0.042) |
0.037*** (0.009) |
0.047*** (0.016) |
||||
| LPER | 0.028*** (0.003) |
0.029*** (0.006) |
0.734*** (0.036) |
0.684*** (0.035) |
||||
| PAS | - | - | 0.005*** (0.002) |
0.006* (0.004) |
||||
| LPAS | 0.984*** (0.005) |
0.985*** (0.012) |
- | - | ||||
| LWF | -0.075*** (0.009) |
-0.074*** (0.020) |
-0.193*** (0.033) |
-0.224*** (0.046) |
||||
| LIACS | -0.093*** (0.016) |
-0.089*** (0.031) |
-0.067** (0.035) |
-0.042 (0.061) |
||||
| LND | - | - | 0.084*** (0.021) |
0.098*** (0.023) |
||||
| LISM | 0.073*** (0.026) |
0.069 (0.069) |
0.498*** (0.210) |
0.527 (0.330) |
||||
| LSD (-1) | 1.329*** (0.333) |
1.221*** (0.465) |
1.257*** (0.245) |
1.237*** (0.232) |
||||
| LIRON | 2.714*** (0.406) |
2.637*** (0.537) |
1.699*** (0.303) |
1.841*** (0.287) |
||||
| FG (-1) | -0.126*** (0.030) |
-0.119*** (0.036) |
-0.389*** (0.200) |
-0.405** (0.179) |
||||
| LBRENT | -1.045** (0.333) |
-0.931*** (0.451) |
-0.589*** (0.225) |
-0.726*** (0.282) |
||||
| Prob(J-Stat) | 0.162 | 0.117 | ||||||
| Estimation by GMM(TOKYO) (1) | Estimation by 3SLS(TOKYO) (2) | Estimation by GMM(PARIS) (3) | Estimation by 3SLS(PARIS) (4) | |||||
| Independent Variables | Dep.Var. LSDB |
Dep.Var. LBDI |
Dep.Var. LSDB |
Dep.Var. LBDI |
Dep.Var. LSDB |
Dep.Var. LBDI |
Dep.Var. LSDB |
Dep.Var. LBDI |
| C | 0.991*** (0.209) |
-1.880*** (1.242) |
1.083*** (0.373) |
-1.898 (1.763) |
-1.259*** (0.337) |
-1.068 (0.917) |
-1.213*** (0.455) |
-1.539 (1.249) |
| LBDI (-1) | 0.599** (0.305) |
0.471 (0.512) |
0.081*** (0.025) |
0.111*** (0.036) |
||||
| LPERB | 0.029*** (0.003) |
0.975*** (0.01) |
0.729*** (0.032) |
0.702*** (0.032) |
||||
| PASB | - | - | 0.029*** (0.003) |
0.031*** (0.008) |
||||
| LPASB | 0.973*** (0.007) |
0.029*** (0.007) |
- | - | ||||
| LWFB | -0.12*** (0.021) |
-0.128*** (0.04) |
-0.004 (0.019) |
-0.016 (0.023) |
||||
| LIACSB | -0.16*** (0.035) |
-0.169*** (0.062) |
-0.094* (0.057) |
-0.143* (0.079) |
||||
| LISMB | 0.124*** (0.031) |
0.109* (0.065) |
0.175*** (0.036) |
0.209*** (0.055) |
||||
| LSDB (-1) | 0.945*** (0.305) |
0.879** (0.424) |
0.957*** (0.097) |
0.991*** (0.189) |
||||
| LIRON | 1.792*** (0.213) |
1.785 *** (0.309) |
1.545*** (0.250) |
1.703*** (0.269) |
||||
| FGB (-1) | -0.06*** (0.019) |
-0.061*** (0.023) |
-0.352** (0.153) |
-0.447*** (0.130) |
||||
| LBRENT | -0.498*** (0.262) |
-0.418*** (0.307) |
-0.404** (0.163) |
-0.447 (0.295) |
||||
| Prob(J-Stat) | 0.158 | 0.127 | ||||||
| Estimation by GMM(TOKYO) (1) | Estimation by 3SLS(TOKYO) (2) | Estimation by GMM(PARIS) (3) | Estimation by 3SLS(PARIS) (4) | ||||||
| Independent Variables | Dep.Var. LSDG |
Dep.Var. LBDI |
Dep.Var. LSDT |
Dep.Var. LBDI |
Dep.Var. LSDT |
Dep.Var. LBDI |
Dep.Var. LSDT |
Dep.Var. LBDI |
|
| C | 0.049 (0.045) |
-4.54*** (0.909) |
0.013 (0.115) |
-4.697*** (1.380) |
C | -1.899** (0.802) |
3.623*** (0.534) |
-2.207 (1.728) |
3.055*** (0.891) |
| LBDI (-1) | 0.764** (0.305) |
0.705 (0.539) |
LBDI (-1) | 0.294*** (0.084) |
0.294** (0.149) |
||||
| LPERG | 0.037*** (0.004) |
0.036*** (0.007) |
LPERT | 2.214*** (0.541) |
2.345** (0.996) |
||||
| PASG | - | - | PAST | 0.004 (0.030) |
0.019 (0.052) |
||||
| LPASG | 1.059*** (0.020) |
1.071*** (0.042) |
LPAST | - | |||||
| LWFG | -0.056*** (0.017) |
-0.059* (0.032) |
LWFT | -1.612** (0.683) |
-1.760 (1.145) |
||||
| LIACSG | -0.108*** (0.019) |
-0.123*** (0.041) |
LIACST | -0.418*** (0.142) |
-0.362 (0.246) |
||||
| LISMG | 0.055** (0.023) |
0.075 (0.065) |
LISMT | 0.188 (0.159) |
0.213 (0.217) |
||||
| LSDG (-1) | 1.106*** (0.115) |
1.111*** (0.191) |
LSDT(-1) | 0.709*** (0.159) |
0.810*** (0.220) |
||||
| LIRON | 2.579*** (0.225) |
2.636*** (0.327) |
LIRON | 1.359*** (0.227) |
1.624*** (0.209) |
||||
| FGG (-1) | -0.117*** (0.017) |
-0.115*** (0.024) |
FGT(-1) | - | - | ||||
| LBRENT(-1) | -1.003*** (0.170) |
-1.034*** (0.279) |
LBRENT(-1) | -0.807*** (0.239) |
-0.988*** (0.241) |
||||
| FGT(-1) | -1.052*** (0.302) |
-1.049 (0.420) |
|||||||
| Prob(J-Stat) | 0.135 | 0.122 | |||||||
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).