Translog function (2009–2013)
| Frontier | Coef | Std. Error | z | p > z |
|---|---|---|---|---|
| LnCommercial | −0.097 | 0.050 | −1.930 | 0.054 |
| LnPAX | −0.276 | 0.034 | −8.110 | 0.000 |
| LnATM | −0.068 | 0.071 | −0.960 | 0.338 |
| LnCargo | −0.058 | 0.011 | −5.210 | 0.000 |
| LnAirsideAssets | 0.010 | 0.007 | 1.360 | 0.175 |
| LnLandsideAssets | −0.011 | 0.010 | −1.130 | 0.259 |
| LnOperating | 0.669 | 0.123 | 5.420 | 0.000 |
| ½LnCommercial2 | 0.107 | 0.021 | 5.180 | 0.000 |
| ½LnPAX2 | −0.015 | 0.013 | −1.170 | 0.244 |
| ½LnATM2 | 0.056 | 0.061 | 0.910 | 0.363 |
| ½LnCargo2 | 0.004 | 0.003 | 1.450 | 0.147 |
| ½LnAirsideAssets2 | −0.001 | 0.001 | −0.690 | 0.488 |
| ½LnLandsideAssets2 | −0.001 | 0.001 | −0.690 | 0.489 |
| ½LnOperating2 | −0.103 | 0.124 | −0.820 | 0.409 |
| ½LnCommercialLnPAX | −0.190 | 0.032 | −5.900 | 0.000 |
| ½LnCommercialLnATM | 0.004 | 0.055 | 0.070 | 0.943 |
| ½LnCommercialLnCargo | −0.050 | 0.012 | −4.060 | 0.000 |
| ½LnPAXLnATM | 0.067 | 0.026 | 2.610 | 0.009 |
| ½LnPAXLnCargo | 0.024 | 0.012 | 2.010 | 0.045 |
| ½LnATMLnCargo | −0.011 | 0.023 | −0.470 | 0.637 |
| LnAirsideAssetsLnOperatingCosts | −0.002 | 0.019 | −0.080 | 0.935 |
| LnLandsideAssetsLnOperatingCosts | 0.031 | 0.014 | 2.230 | 0.026 |
| LnAirsideAssetsLnLandsideAssets | 0.000 | 0.001 | −0.250 | 0.800 |
| LnCommercialLnOperating | 0.062 | 0.046 | 1.340 | 0.182 |
| LnPAXLnOperating | 0.004 | 0.024 | 0.160 | 0.870 |
| LnATMLnOperating | 0.003 | 0.058 | 0.060 | 0.953 |
| LnCargoLnOperating | −0.011 | 0.017 | −0.650 | 0.518 |
| LnCommercialLnAirsideAssets | 0.002 | 0.004 | 0.530 | 0.595 |
| LnPAXLnAirsideAssets | −0.006 | 0.004 | −1.480 | 0.140 |
| LnATMLnAirsideAssets | −0.002 | 0.006 | −0.250 | 0.802 |
| LnCargoLnAirsideAssets | 0.002 | 0.001 | 1.610 | 0.107 |
| LnCommercialLnLandsideAssets | −0.010 | 0.004 | −2.480 | 0.013 |
| LnPAXLnLandsideAssets | 0.005 | 0.003 | 1.870 | 0.061 |
| LnATMLandsideAssets | 0.006 | 0.005 | 1.160 | 0.246 |
| LnCargoLnLandsideAssets | 0.000 | 0.001 | 0.020 | 0.986 |
| Fixed Effect Barcelona | −0.678 | 0.162 | −4.200 | 0.000 |
| Fixed Effect Madrid Barajas | −0.929 | 0.187 | −4.970 | 0.000 |
| Fixed Effect Malaga | −0.495 | 0.086 | −5.760 | 0.000 |
| Fixed Effect Palma de Mallorca | −0.321 | 0.106 | −3.040 | 0.002 |
| Fixed Effect Huesca-Pirineos | 0.496 | 0.105 | 4.740 | 0.000 |
| Fixed Effect Vitoria | −0.659 | 0.208 | −3.170 | 0.002 |
| Constant | 0.543 | 0.086 | 6.310 | 0.000 |
| Inefficiency (Mu) | ||||
| Capacity Utilisation | 0.2518 | 0.106 | 2.38 | 0.017 |
| Catchment Area | 0.002 | 0.043 | 0.05 | 0.962 |
| PSOs | 0.185 | 0.121 | 1.52 | 0.129 |
| Rail | 0.485 | 0.152 | 3.19 | 0.001 |
| Constant | −0.954 | 0.544 | −1.75 | 0.080 |
| U sigma Constant | −2.811 | 0.392 | −7.17 | 0.000 |
| V sigma Constant | −4.884 | 0.405 | −12.06 | 0.000 |
| Sigma_u | 0.245 | 0.048 | 5.10 | 0.000 |
| Sigma_v | 0.087 | 0.018 | 4.94 | 0.000 |
| Lambda | 2.818 | 0.052 | 53.99 | 0.000 |
| Frontier | Coef | Std. Error | z | |
|---|---|---|---|---|
| LnCommercial | −0.097 | 0.050 | −1.930 | 0.054 |
| LnPAX | −0.276 | 0.034 | −8.110 | 0.000 |
| LnATM | −0.068 | 0.071 | −0.960 | 0.338 |
| LnCargo | −0.058 | 0.011 | −5.210 | 0.000 |
| LnAirsideAssets | 0.010 | 0.007 | 1.360 | 0.175 |
| LnLandsideAssets | −0.011 | 0.010 | −1.130 | 0.259 |
| LnOperating | 0.669 | 0.123 | 5.420 | 0.000 |
| ½LnCommercial2 | 0.107 | 0.021 | 5.180 | 0.000 |
| ½LnPAX2 | −0.015 | 0.013 | −1.170 | 0.244 |
| ½LnATM2 | 0.056 | 0.061 | 0.910 | 0.363 |
| ½LnCargo2 | 0.004 | 0.003 | 1.450 | 0.147 |
| ½LnAirsideAssets2 | −0.001 | 0.001 | −0.690 | 0.488 |
| ½LnLandsideAssets2 | −0.001 | 0.001 | −0.690 | 0.489 |
| ½LnOperating2 | −0.103 | 0.124 | −0.820 | 0.409 |
| ½LnCommercialLnPAX | −0.190 | 0.032 | −5.900 | 0.000 |
| ½LnCommercialLnATM | 0.004 | 0.055 | 0.070 | 0.943 |
| ½LnCommercialLnCargo | −0.050 | 0.012 | −4.060 | 0.000 |
| ½LnPAXLnATM | 0.067 | 0.026 | 2.610 | 0.009 |
| ½LnPAXLnCargo | 0.024 | 0.012 | 2.010 | 0.045 |
| ½LnATMLnCargo | −0.011 | 0.023 | −0.470 | 0.637 |
| LnAirsideAssetsLnOperatingCosts | −0.002 | 0.019 | −0.080 | 0.935 |
| LnLandsideAssetsLnOperatingCosts | 0.031 | 0.014 | 2.230 | 0.026 |
| LnAirsideAssetsLnLandsideAssets | 0.000 | 0.001 | −0.250 | 0.800 |
| LnCommercialLnOperating | 0.062 | 0.046 | 1.340 | 0.182 |
| LnPAXLnOperating | 0.004 | 0.024 | 0.160 | 0.870 |
| LnATMLnOperating | 0.003 | 0.058 | 0.060 | 0.953 |
| LnCargoLnOperating | −0.011 | 0.017 | −0.650 | 0.518 |
| LnCommercialLnAirsideAssets | 0.002 | 0.004 | 0.530 | 0.595 |
| LnPAXLnAirsideAssets | −0.006 | 0.004 | −1.480 | 0.140 |
| LnATMLnAirsideAssets | −0.002 | 0.006 | −0.250 | 0.802 |
| LnCargoLnAirsideAssets | 0.002 | 0.001 | 1.610 | 0.107 |
| LnCommercialLnLandsideAssets | −0.010 | 0.004 | −2.480 | 0.013 |
| LnPAXLnLandsideAssets | 0.005 | 0.003 | 1.870 | 0.061 |
| LnATMLandsideAssets | 0.006 | 0.005 | 1.160 | 0.246 |
| LnCargoLnLandsideAssets | 0.000 | 0.001 | 0.020 | 0.986 |
| Fixed Effect Barcelona | −0.678 | 0.162 | −4.200 | 0.000 |
| Fixed Effect Madrid Barajas | −0.929 | 0.187 | −4.970 | 0.000 |
| Fixed Effect Malaga | −0.495 | 0.086 | −5.760 | 0.000 |
| Fixed Effect Palma de Mallorca | −0.321 | 0.106 | −3.040 | 0.002 |
| Fixed Effect Huesca-Pirineos | 0.496 | 0.105 | 4.740 | 0.000 |
| Fixed Effect Vitoria | −0.659 | 0.208 | −3.170 | 0.002 |
| Constant | 0.543 | 0.086 | 6.310 | 0.000 |
| Capacity Utilisation | 0.2518 | 0.106 | 2.38 | 0.017 |
| Catchment Area | 0.002 | 0.043 | 0.05 | 0.962 |
| PSOs | 0.185 | 0.121 | 1.52 | 0.129 |
| Rail | 0.485 | 0.152 | 3.19 | 0.001 |
| Constant | −0.954 | 0.544 | −1.75 | 0.080 |
| −2.811 | 0.392 | −7.17 | 0.000 | |
| −4.884 | 0.405 | −12.06 | 0.000 | |
| 0.245 | 0.048 | 5.10 | 0.000 | |
| 0.087 | 0.018 | 4.94 | 0.000 | |
| 2.818 | 0.052 | 53.99 | 0.000 | |
Source(s): Own elaboration
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