Figures (14)  Tables (8)
    • Figure 1. 

      Flowchart of quantitative analysis of the efficiency dynamics of global liquefied natural gas shipping under COVID-19.

    • Figure 2. 

      AIS track chart of LNG carrier in 2021 (the global map is from ArcMap World map).

    • Figure 3. 

      Directed network of LNG shipping (the global map is from ArcMap World map).

    • Figure 4. 

      Statistical analysis of LNG shipping under the pandemic in 2020 and 2021.

    • Figure 5. 

      Daily change of global severity index and service time of LNG carriers.

    • Figure 6. 

      Impulse response analysis of the global VAR (15) model.

    • Figure 7. 

      The spatial distribution of impacts from COVID-19 in countries (the global map is from ArcMap World map).

    • Figure 8. 

      LNG trade countries with bidirectional effects.

    • Figure 9. 

      LNG trade countries with the unidirectional effects.

    • Figure 10. 

      LNG trade countries with the unidirectional effects.

    • Figure 11. 

      LNG trade terminals with bidirectional effects.

    • Figure 12. 

      LNG trade terminals with unidirectional effects.

    • Figure 13. 

      LNG trade terminals with unidirectional effects.

    • Figure 14. 

      The spatial distribution of impacts from COVID-19 in countries and LNG terminals (the global map is from ArcMap World map).

    • Reference Analytical method Specific method
      Hale & Angrist [ 1] Quantitative Quantitative indicators to assess the severity of the outbreak
      Wang et al. [ 15] Quantitative Dynamic time warping technique
      Dhaliwal et al. [ 25] Qualitative Closed questionnaire survey
      Zheng et al. [ 26] Quantitative Clustering algorithm
      Ihsan et al. [ 27] & Riess et al. [ 28] Qualitative Literature review and analysis
      March et al. [ 29] , Xu et al. [ 30] &
      Rožić et al. [ 34]
      Quantitative Data analysis/statistical methods
      Ge & Yang [ 31] Quantitative Comparative analysis, time series analysis, etc
      Dai & Liang [ 32] Quantitative Regression analysis
      Xu et al. [ 33] Quantitative Linear regression analysis
      Wan et al. [ 35] Quantitative analysis, combined with qualitative analysis Network analysis
      Dirzka & Acciaro [ 36] Quantitative analysis, combined with qualitative analysis Network analysis, time series analysis

      Table 1. 

      Analytical methods used in previous literature.

    • H0 Decision Distribution Statistic p-value Critical value
      Exclude lagged D in the I equation Reject H0 Chi-square Distribution 33.99 0.003416 24.996
      Exclude lagged I in the D equation Reject H0 Chi-square Distribution 74.349 7.4223e-10 24.996

      Table 2. 

      Granger causality test.

    • Countries VAR model No. p-value
      Angola (AGO) $\begin{aligned} \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}}\\ {\rm{y}}_{\rm{D},\rm{t}}\end{array}\right]=&\left[\begin{array}{c}0.0987\\ 0.4276\end{array}\right]+\left[\begin{array}{cc}1.2477& 0.0110\\ -0.1193& 0.1056\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-1}\\ {\rm{y}}_{\rm{D},\rm{t}-1}\end{array}\right]+\left[\begin{array}{cc}-0.3634& -0.1244\\ -0.1326& 0.0444\end{array}\right]\cdot \\&\left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-2}\\ {\rm{y}}_{\rm{D},\rm{t}-2}\end{array}\right]+\left[\begin{array}{c}{{\varepsilon }}_{\rm{I},\rm{t}}\\ {{\varepsilon }}_{\rm{D},\rm{t}}\end{array}\right] \end{aligned} $ (13) 0.045
      Russia (RUS) $ \begin{aligned}\left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}}\\ {\rm{y}}_{\rm{D},\rm{t}}\end{array}\right]=&\left[\begin{array}{c}0.2243\\ 0.2598\end{array}\right]+\left[\begin{array}{cc}1.0696& -0.0328\\ 01282& 0.0914\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-1}\\ {\rm{y}}_{\rm{D},\rm{t}-1}\end{array}\right]+\left[\begin{array}{cc}-0.2360& -0.0221\\ -0.5976& 0.2035\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-2}\\ {\rm{y}}_{\rm{D},\rm{t}-2}\end{array}\right]+\\&\left[\begin{array}{cc}0.0602& -0.1326\\ -0.1697& 0.0690\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-3}\\ {\rm{y}}_{\rm{D},\rm{t}-3}\end{array}\right]+\left[\begin{array}{cc}-0.1371& -0.0140\\ 0.5124& 0.2163\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-4}\\ {\rm{y}}_{\rm{D},\rm{t}-4}\end{array}\right]+\left[\begin{array}{c}{\rm{\epsilon }}_{\rm{I},\rm{t}}\\ {\rm{\epsilon }}_{\rm{D},\rm{t}}\end{array}\right]\end{aligned}$ (14) 0.046
      Spain (ESP) $\begin{aligned} \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}}\\ {\rm{y}}_{\rm{D},\rm{t}}\end{array}\right]=&\left[\begin{array}{c}0.0568\\ 0.2904\end{array}\right]+\left[\begin{array}{cc}1.1786& -0.0676\\ 0.2758& 0.1075\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-1}\\ {\rm{y}}_{\rm{D},\rm{t}-1}\end{array}\right]+\left[\begin{array}{cc}-0.2480& -0.0101\\ -0.8114& -0.0989\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-2}\\ {\rm{y}}_{\rm{D},\rm{t}-2}\end{array}\right]+\\&\left[\begin{array}{cc}0.0856& -0.0711\\ 1.6907& 0.1255\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-3}\\ {\rm{y}}_{\rm{D},\rm{t}-3}\end{array}\right]+\left[\begin{array}{cc}-0.0656& 0.0593\\ -1.1612& -0.0218\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-4}\\ {\rm{y}}_{\rm{D},\rm{t}-4}\end{array}\right]+\left[\begin{array}{c}{\rm{\epsilon }}_{\rm{I},\rm{t}}\\ {\rm{\epsilon }}_{\rm{D},\rm{t}}\end{array}\right]\end{aligned} $ (15) 0.039

      Table 3. 

      VAR models for LNG trade countries with bidirectional effects.

    • Country VAR models No. p-value
      Japan (JPN) $ {\rm{y}}_{\rm{D},\rm{t}}=0.7089-0.3462{\rm{y}}_{\rm{I},\rm{t}-1}-0.0782{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (16) 0.045
      France (FRA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.2924+0.9373{\rm{y}}_{\rm{I},\rm{t}-1}+0.3880{\rm{y}}_{\rm{D},\rm{t}-1}-0.8978{\rm{y}}_{\rm{I},\rm{t}-2}-0.0189{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (17) 0.037
      Gibraltar (GIB) $ {\rm{y}}_{\rm{D},\rm{t}}=0.6415-0.3850{\rm{y}}_{\rm{I},\rm{t}-1}-0.1292{\rm{y}}_{\rm{D},\rm{t}-1}+0.0845{\rm{y}}_{\rm{I},\rm{t}-2}-0.1165{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (18) 0.038
      Belgium (BEL) $\begin{aligned} {\rm{y}}_{\rm{D},\rm{t}}=\;&0.5767+0.7123{\rm{y}}_{\rm{I},\rm{t}-1}-0.0269{\rm{y}}_{\rm{D},\rm{t}-1}-1.3813{\rm{y}}_{\rm{I},\rm{t}-2}+0.0881{\rm{y}}_{\rm{D},\rm{t}-2}+0.5651{\rm{y}}_{\rm{I},\rm{t}-3}-\\&0.1666{\rm{y}}_{\rm{D},\rm{t}-3}+{{\varepsilon }}_{\rm{D},\rm{t}}\end{aligned} $ (19) 0.016
      Brazil (BRA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.0366+0.3695{\rm{y}}_{\rm{I},\rm{t}-1}+0.4148{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (20) 0.030
      Jamaica (JAM) $ {\rm{y}}_{\rm{D},\rm{t}}=0.2570-0.5282{\rm{y}}_{\rm{I},\rm{t}-1}+0.1874{\rm{y}}_{\rm{D},\rm{t}-1}+0.3536{\rm{y}}_{\rm{I},\rm{t}-2}+0.1969{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (21) 0.016
      Netherlands (NLD) $ {\rm{y}}_{\rm{D},\rm{t}}=0.5710-0.8500{\rm{y}}_{\rm{I},\rm{t}-1}-0.0341{\rm{y}}_{\rm{D},\rm{t}-1}+0.7375{\rm{y}}_{\rm{I},\rm{t}-2}-0.0909{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (22) 0.042
      The Republic of Turkey (TUR) $ \begin{aligned}{\rm{y}}_{\rm{D},\rm{t}}=\;&0.2526+0.0182{\rm{y}}_{\rm{I},\rm{t}-1}+0.3547{\rm{y}}_{\rm{D},\rm{t}-1}-0.4094{\rm{y}}_{\rm{I},\rm{t}-2}+0.0653{\rm{y}}_{\rm{D},\rm{t}-2}+0.9584{\rm{y}}_{\rm{I},\rm{t}-3}-\\&0.2432{\rm{y}}_{\rm{D},\rm{t}-3}-0.6571{\rm{y}}_{\rm{I},\rm{t}-4}+0.0492{\rm{y}}_{\rm{D},\rm{t}-4}+{{\varepsilon }}_{\rm{D},\rm{t}}\end{aligned} $ (23) 0.001

      Table 4. 

      VAR models for LNG trade countries with unidirectional effects.

    • Country VAR models No. p-value
      Australia (AUS) $ \begin{aligned}{\rm{y}}_{\rm{D},\rm{t}}=\;&0.0022+0.0666{\rm{y}}_{\rm{I},\rm{t}-1}+0.2705{\rm{y}}_{\rm{D},\rm{t}-1}+0.0817{\rm{y}}_{\rm{I},\rm{t}-2}+0.1347{\rm{y}}_{\rm{D},\rm{t}-2}-0.1475{\rm{y}}_{\rm{I},\rm{t}-3}+\\&0.1131{\rm{y}}_{\rm{D},\rm{t}-3}+0.2427{\rm{y}}_{\rm{I},\rm{t}-4}+0.1534{\rm{y}}_{\rm{D},\rm{t}-4}+{{\varepsilon }}_{\rm{D},\rm{t}}\end{aligned} $ (24) 0.031
      Qatar (QAT) $ \begin{aligned}{\rm{y}}_{\rm{D},\rm{t}}=\;&0.1406+1.0000{\rm{y}}_{\rm{I},\rm{t}-1}+0.1896{\rm{y}}_{\rm{D},\rm{t}-1}-1.5588{\rm{y}}_{\rm{I},\rm{t}-2}+0.0267{\rm{y}}_{\rm{D},\rm{t}-2}+\\&0.7354{\rm{y}}_{\rm{I},\rm{t}-3}+0.2484{\rm{y}}_{\rm{D},\rm{t}-3}+{{\varepsilon }}_{\rm{D},\rm{t}} \end{aligned}$ (25) 0.048
      The United States of America (USA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.7903-0.3672{\rm{y}}_{\rm{I},\rm{t}-1}+0.2552{\rm{y}}_{\rm{D},\rm{t}-1}-0.2243{\rm{y}}_{\rm{I},\rm{t}-2}-0.0257{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (26) 0.023
      Algeria (DZA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.0849+0.3148{\rm{y}}_{\rm{I},\rm{t}-1}+0.2820{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (27) 0.008
      Norway (NOR) $ {\rm{y}}_{\rm{D},\rm{t}}=0.1928-0.0231{\rm{y}}_{\rm{I},\rm{t}-1}-0.0066{\rm{y}}_{\rm{D},\rm{t}-1}-0.0664{\rm{y}}_{\rm{I},\rm{t}-2}-0.0394{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (28) 0.041
      Republic of Trinidad
      and Tobago (TTO)
      $ {\rm{y}}_{\rm{D},\rm{t}}=0.3134+0.3438{\rm{y}}_{\rm{I},\rm{t}-1}+0.1425{\rm{y}}_{\rm{D},\rm{t}-1}-0.2941{\rm{y}}_{\rm{I},\rm{t}-2}-0.1221{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (29) 0.019

      Table 5. 

      VAR models for LNG trade countries with unidirectional effects.

    • Country VAR models No. p-value
      Wheatstone (in AUS) $\begin{aligned} \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}}\\ {\rm{y}}_{\rm{D},\rm{t}}\end{array}\right]=\;&\left[\begin{array}{c}0.2149\\ 0.2195\end{array}\right]+\left[\begin{array}{cc}0.9943& -0.1503\\ 0.0583& 0.1290\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-1}\\ {\rm{y}}_{\rm{D},\rm{t}-1}\end{array}\right]+\left[\begin{array}{cc}-0.2033& -0.0349\\ -0.1242& 0.0727\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-2}\\ {\rm{y}}_{\rm{D},\rm{t}-2}\end{array}\right]+\\&\left[\begin{array}{cc}-0.2492& 0.0803\\ -0.5307& 0.0528\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-3}\\ {\rm{y}}_{\rm{D},\rm{t}-3}\end{array}\right]+\left[\begin{array}{cc}0.2894& -0.0732\\ 0.5183& -0.1099\end{array}\right]\cdot \left[\begin{array}{c}{\rm{y}}_{\rm{I},\rm{t}-4}\\ {\rm{y}}_{\rm{D},\rm{t}-4}\end{array}\right]+\left[\begin{array}{c}{{\varepsilon }}_{\rm{I},\rm{t}}\\ {{\varepsilon }}_{\rm{D},\rm{t}}\end{array}\right]\end{aligned} $ (30) 0.026

      Table 6. 

      VAR models for LNG trade terminals with bidirectional effects.

    • Country VAR models No. p-value
      RuDong (CHN) $ {\rm{y}}_{\rm{D},\rm{t}}=-0.0044+0.2351{\rm{y}}_{\rm{I},\rm{t}-1}+0.1944{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (31) 0.036
      WuHaoGou (CHN) $ {\rm{y}}_{\rm{D},\rm{t}}=0.1814+0.1611{\rm{y}}_{\rm{I},\rm{t}-1}+0.2823{\rm{y}}_{\rm{D},\rm{t}-1}-0.1776{\rm{y}}_{\rm{I},\rm{t}-2}-0.0726{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (32) 0.047
      YangShan (CHN) $ {\rm{y}}_{\rm{D},\rm{t}}=0.3060+0.2477{\rm{y}}_{\rm{I},\rm{t}-1}-0.0487{\rm{y}}_{\rm{D},\rm{t}-1}-0.1985{\rm{y}}_{\rm{I},\rm{t}-2}-0.0873{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (33) 0.021
      Dapeng (CHN) $ {\rm{y}}_{\rm{D},\rm{t}}=0.3496+0.1668{\rm{y}}_{\rm{I},\rm{t}-1}+0.0598{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (34) 0.025
      Tangguh (IDN) $ {\rm{y}}_{\rm{D},\rm{t}}=-0.1925+0.7286{\rm{y}}_{\rm{I},\rm{t}-1}+0.3988{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (35) 0.035
      Old Harbour (JAM) $ {\rm{y}}_{\rm{D},\rm{t}}=0.2729-0.6179{\rm{y}}_{\rm{I},\rm{t}-1}+0.2106{\rm{y}}_{\rm{D},\rm{t}-1}+0.4548{\rm{y}}_{\rm{I},\rm{t}-2}+0.1951{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (36) 0.017
      Ohgishima (JPN) $ {\rm{y}}_{\rm{D},\rm{t}}=-0.0869-0.3893{\rm{y}}_{\rm{I},\rm{t}-1}+0.2866{\rm{y}}_{\rm{D},\rm{t}-1}+0.8705{\rm{y}}_{\rm{I},\rm{t}-2}+0.2662{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (37) 0.034
      Himeji (JPN) $ {\rm{y}}_{\rm{D},\rm{t}}=0.4339+1.1299{\rm{y}}_{\rm{I},\rm{t}-1}+0.2915{\rm{y}}_{\rm{D},\rm{t}-1}-1.3366{\rm{y}}_{\rm{I},\rm{t}-2}-0.0446{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (38) 0.019
      Zeebrugge (BEL) $ \begin{aligned}{\rm{y}}_{\rm{D},\rm{t}}=\;&0.5767+0.7123{\rm{y}}_{\rm{I},\rm{t}-1}-0.0269{\rm{y}}_{\rm{D},\rm{t}-1}-1.3813{\rm{y}}_{\rm{I},\rm{t}-2}+0.0881{\rm{y}}_{\rm{D},\rm{t}-2}+\\&0.5651{\rm{y}}_{\rm{I},\rm{t}-3}-0.1666{\rm{y}}_{\rm{D},\rm{t}-3}+{{\varepsilon }}_{\rm{D},\rm{t}}\end{aligned} $ (39) 0.016
      Gate (NLD) $ {\rm{y}}_{\rm{D},\rm{t}}=0.5710-0.8500{\rm{y}}_{\rm{I},\rm{t}-1}-0.0341{\rm{y}}_{\rm{D},\rm{t}-1}+0.7375{\rm{y}}_{\rm{I},\rm{t}-2}-0.0909{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (40) 0.042
      Gibraltar (GIB) $ {\rm{y}}_{\rm{D},\rm{t}}=0.6415-0.3850{\rm{y}}_{\rm{I},\rm{t}-1}-0.1292{\rm{y}}_{\rm{D},\rm{t}-1}+0.0845{\rm{y}}_{\rm{I},\rm{t}-2}-0.1165{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (41) 0.038

      Table 7. 

      VAR models for LNG trade terminals with unidirectional effects.

    • Countries VAR model No. p-value
      Calcasieu Pass (USA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.1810+0.0503{\rm{y}}_{\rm{I},\rm{t}-1}-0.213{\rm{y}}_{\rm{D},\rm{t}-1}+0.0290{\rm{y}}_{\rm{I},\rm{t}-2}-0.0348{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (42) 0.034
      Sabine Pass (USA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.6854+0.2954{\rm{y}}_{\rm{I},\rm{t}-1}+0.0383{\rm{y}}_{\rm{D},\rm{t}-1}-0.5424{\rm{y}}_{\rm{I},\rm{t}-2}-0.1727{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (43)
      0.003
      Gladstone (AUS)
      $\begin{aligned} {\rm{y}}_{\rm{D},\rm{t}}=\;&0.1265-0.0496{\rm{y}}_{\rm{I},\rm{t}-1}+0.2311{\rm{y}}_{\rm{D},\rm{t}-1}-0.1505{\rm{y}}_{\rm{I},\rm{t}-2}+0.2017{\rm{y}}_{\rm{D},\rm{t}-2}-0.0681{\rm{y}}_{\rm{I},\rm{t}-3}+\\&0.0441{\rm{y}}_{\rm{D},\rm{t}-3}+0.4782{\rm{y}}_{\rm{I},\rm{t}-4}+0.0114{\rm{y}}_{\rm{D},\rm{t}-4}+{{\varepsilon }}_{\rm{D},\rm{t}} \end{aligned}$ (44) 0.001
      Atlantic LNG (TTO) $ {\rm{y}}_{\rm{D},\rm{t}}=0.3134+0.3438{\rm{y}}_{\rm{I},\rm{t}-1}+0.1425{\rm{y}}_{\rm{D},\rm{t}-1}-0.2941{\rm{y}}_{\rm{I},\rm{t}-2}-0.1221{\rm{y}}_{\rm{D},\rm{t}-2}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (45) 0.003
      Arzew (DZA) $ {\rm{y}}_{\rm{D},\rm{t}}=0.1302+0.3213{\rm{y}}_{\rm{I},\rm{t}-1}+0.0516{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (46) 0.094
      Ras Laffan (QAT) $ \begin{aligned}{\rm{y}}_{\rm{D},\rm{t}}=\;&0.1406+1.0000{\rm{y}}_{\rm{I},\rm{t}-1}+0.1896{\rm{y}}_{\rm{D},\rm{t}-1}-1.5588{\rm{y}}_{\rm{I},\rm{t}-2}+0.0267{\rm{y}}_{\rm{D},\rm{t}-2}+\\&0.7354{\rm{y}}_{\rm{I},\rm{t}-3}+0.2484{\rm{y}}_{\rm{D},\rm{t}-3}+{{\varepsilon }}_{\rm{D},\rm{t}} \end{aligned}$ (47) 0.048
      Yamal (RUS) $ {\rm{y}}_{\rm{D},\rm{t}}=0.3903-0.24120{\rm{y}}_{\rm{I},\rm{t}-1}+0.3309{\rm{y}}_{\rm{D},\rm{t}-1}+{{\varepsilon }}_{\rm{D},\rm{t}} $ (48) 0.050

      Table 8. 

      VAR models for LNG trade terminals with unidirectional effects.