Correlation matrix (Eq_ 9) for Japan
| Correlation matrix | |||||
|---|---|---|---|---|---|
| ln Outmigration share | ln CPI | ln Unemployment rate | ln MP | ln Time distance | |
| ln Outmigration share | 1.000 | – | – | – | – |
| ln CPI | 0.443 | 1.000 | – | – | – |
| ln Unemployment rate | –0.041 | –0.365 | 1.000 | – | – |
| ln MP | 0.408 | 0.592 | –0.534 | 1.000 | – |
| ln Time distance | –0.481 | –0.119 | 0.175 | –0.261 | 1.000 |
Estimates table for the wage equation (Eq_ 11) for Poland
| Poland | ||
|---|---|---|
| Parameters | Dependent variables | Estimate |
| α0 | Constant term | 5.847 |
| (1.30) | ||
| Σ | Elasticity of substitution | 3.101** |
| (2.00) | ||
| Γ | Distance elasticity of migration cost | 0.149*** |
| (3.26) | ||
| No. of observations | 16 | |
| R2 | 0.683 | |
Estimates table for the NEG based migration equation (Eq_ 9) for Japan
| Japan | ||||
|---|---|---|---|---|
| Parameters | Dependent variables | Estimate | Estimate a | Estimate b |
| b0 | Constant term | –19.165*** | –63.711*** | –37.438*** |
| (–2.69) | (–7.34) | (–5.29) | ||
| b1 | Log (Market Potential) | 0.846*** | 2.537*** | –0.552* |
| (2.98) | (7.75) | (–1.84) | ||
| b2 | Log (Unemployment Rate) | 1.313*** | ||
| (8.65) | ||||
| b2 | Log (CPI) | 11.454*** | ||
| (11.78) | ||||
| Λ | Distance elasticity of migration cost | 0.815*** | 0.826*** | 0.819*** |
| (15.99) | (16.48) | (16.57) | ||
| bD | Influence of borders on migration cost | –0.856*** | –0.848*** | –0.854*** |
| (–29.94) | (–29.38) | (–30.60) | ||
| bT | Dummy variable for Tokyo metropolitan area | 2.142*** | 1.931*** | 1.829 |
| (23.42) | (20.71) | (19.72) | ||
| bO | Dummy variable for Osaka metropolitan area | 0.737*** | 0.567*** | 0.613*** |
| (9.97) | (7.54) | (8.47) | ||
| No. of observations | 2,162 | 2,162 | 2,162 | |
| R2 | 0.511 | 0.527 | 0.541 | |
Estimates table for the NEG based migration equation (Eq_ 8) for Poland
| Poland | ||||
|---|---|---|---|---|
| Parameters | Dependent variables | Estimate | Estimate a | Estimate b |
| α0 | Constant term | –53.448*** | –54.192*** | 275.240*** |
| (–7.68) | (–5.56) | (3.43) | ||
| α1 | Log (Market Potential) | 2.507*** | 2.538*** | 2.356*** |
| α2 | Log (Unemployment Rate) | (8.07) | (6.00) 0.024 | (7.77) |
| (0.11) | ||||
| α3 | Log (CPI) | –70.181*** | ||
| (4.10) | ||||
| Λ | Distance elasticity of migration cost | 0.684*** | 0.683*** | 0.776*** |
| (5.99) | (5.94) | (6.88) | ||
| bD | Influence of borders on migration cost | 2.373** | 2.382** | 1.702** |
| (2.06) | (2.05) | (2.37) | ||
| αW | Dummy variable for Warsaw metropolitan area | 0.419** | 0.412* | 0.284 |
| (2.06) | (1.93) | (1.42) | ||
| No. of observations | 240 | 240 | 240 | |
| R2 | 0.709 | 0.709 | 0.729 | |
Estimates table for the wage equation (Eq_ 11) for Japan
| Japan | ||
|---|---|---|
| Parameters | Dependent variables | Estimate |
| α0 | Constant term | –12.650 |
| (–0.31) | ||
| Σ | Elasticity of substitution | 2.327*** |
| (3.64) | ||
| Γ | Distance elasticity of migration cost | 0.306*** |
| (4.44) | ||
| No. of observations | 47 | |
| R2 | 0.399 | |
Estimates table for gravity-based migration equation (Eq_ 1) for Japan and Poland
| Parameters | Dependent variables | Japan | Poland | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 2000 | 2008 | 2000 | 2008 | ||||||
| Estimate | Estimate a | Estimate | Estimate a | Estimate | Estimate a | Estimate | Estimate a | ||
| b1 | Log population | 1.351*** | - | 1.444*** | - | 0.619*** | - | 0.632*** | - |
| (49.00) | - | (52.31) | - | (4.43) | - | (6.67) | - | ||
| b2 | Log employment probability | -1.501*** | 5.773*** | -1.623*** | 5.842*** | 1.758*** | 2.859*** | 1.877*** | 3.369*** |
| (-6.87) | (24.79) | (-8.33) | (29.22) | (3.94) | (7.42) | (5.63) | (12.52) | ||
| b3 | Log distance | -0.803*** | -0.598*** | -0.749*** | -0.555*** | -0.845*** | -0.956*** | -0.871*** | -0.971*** |
| (-34.36) | (17.89) | (-34.04) | (-16.98) | (-6.74) | (-7.49) | (-9.31) | (-9.66) | ||
| b4 | Dummy for no adjacency | -0.781*** | -1.084*** | -0.890*** | -1.166*** | -0.666*** | -0.607*** | -0.651*** | -0.597*** |
| (-12.17) | (-11.68) | (-14.59) | (-12.75) | (-5.07) | (-4.47) | (-6.59) | (-5.77) | ||
| b5 | Log size | -0.246*** | 0.235*** | -0.274*** | 0.145*** | 0.149 | 0.532*** | 0.505*** | 0.756*** |
| (-9.47) | (6.72) | (-11.54) | (4.30) | (0.96) | (3.99) | (4.96) | (7.34) | ||
| No. of observations | 2,162 | 2,162 | 2,162 | 2,162 | 240 | 240 | 240 | 240 | |
| R2 | 0.757 | 0.486 | 0.786 | 0.515 | 0.661 | 0.633 | 0.803 | 0.765 | |
Estimates table for gravity-based migration equation (Eq_ 2) for Japan and Poland
| Parameters | Dependent variables | Japan | Poland | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 2000 | 2008 | 2000 | 2008 | ||||||
| Estimate | Estimate a | Estimate | Estimate a | Estimate | Estimate a | Estimate | Estimate a | ||
| b1 | Log population | 1.230*** | - | 1.318*** | - | 0.671*** | - | 0.769*** | - |
| (45.19) | - | (48.06) | - | (6.45) | - | (9.20) | - | ||
| b2 | Log wage | -0.182 | 5.687*** | -0.487** | 5.953*** | 2.501*** | 4.093*** | 2.533*** | 4.880*** |
| (-0.92) | (27.26) | (-2.58) | (31.17) | (5.47) | (9.82) | (6.58) | (14.56) | ||
| b3 | Log distance | -0.781*** | -0.571*** | -0.742 | -0.543*** | -0.821*** | -0.881*** | -0.722*** | -0.811*** |
| (-32.88) | (-17.56) | (-32.94) | (-17.04) | (-7.02) | (-6.98) | (-7.64) | (-7.41) | ||
| b4 | Dummy for adjacency | 0.825*** | 1.140*** | 0.910*** | 1.203*** | 0.687*** | 0.691*** | 0.778*** | 0.752*** |
| (12.69) | (12.64) | (14.60) | (13.48) | (5.50) | (5.10) | (7.85) | (6.51) | ||
| No. of observations | 2,162 | 2,162 | 2,162 | 2,162 | 240 | 240 | 240 | 240 | |
| R2 | 0.748 | 0.509 | 0.773 | 0.513 | 0.679 | 0.622 | 0.800 | 0.728 | |
Correlation matrix (Eq_ 8) for Poland
| Correlation matrix | |||||
|---|---|---|---|---|---|
| ln Outmigration share | ln CPI | ln Unemployment rate | ln MP | ln Time distance | |
| ln Outmigration share | 1.000 | – | – | – | – |
| ln CPI | –0.235 | 1.000 | – | – | – |
| ln Unemployment rate | –0.377 | 0.242 | 1.000 | – | – |
| ln MP | 0.579 | –0.251 | –0.689 | 1.000 | – |
| ln Time distance | –0.667 | –0.102 | 0.154 | –0.241 | 1.000 |