Table 5.

Structural Parameters.

BaselineHistoric instrumentSpatial instrument
AllGreenbeltsGreenbeltAllGreenbeltsGreenbeltAllGreenbeltsGreenbelt
areasin 1973border < 1 kmareasin 1973border < 1 kmareasin 1973border < 1 km
(1)(2)(3)(4)(5)(6)(7)(8)(9)
Commuting parameters:
Elasticity of commuting time by road, |$\hat{\varkappa }_\mathcal{rd}$|0.0686***0.0686***0.0686***0.0670***0.0670***0.0670***0.0670***0.0670***0.0670***
(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)
Elasticity of commuting time by rail, |$\hat{\varkappa }_\mathcal{rw}$|0.0428***0.0428***0.0428***0.0445***0.0445***0.0445***0.0445***0.0445***0.0445***
(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)
Elasticity of commuting time by other mode,0.0121***0.0121***0.0121***0.0111***0.0111***0.0111***0.0111***0.0111***0.0111***
|$\hat{\varkappa }_\mathcal{oth}$|(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)
Commuting heterogeneity, |$\hat{\varepsilon }$|5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***
(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)
Greenbelt parameters:
Greenbelt restrictions, |$\hat{\phi }$|−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***
(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)
Share capital in construction costs, |$\hat{\mu }$|0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***
(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)
Greenbelt amenity effect, |$\hat{\zeta }$|0.0672***0.1530***0.1384***0.0830***0.1547***0.1563***0.0631***0.1522***0.1658***
(0.0046)(0.0143)(0.0072)(0.0051)(0.0128)(0.0147)(0.0155)(0.0155)(0.0147)
Greenbelt amenity decay, |$\hat{\theta }$|0.6534***0.8232***0.5517***0.5165***0.7648***0.5341***0.14860.7501***0.5984***
(0.0795)(0.1304)(0.0748)(0.0788)(0.1336)(0.0926)(0.1678)(0.1017)(0.0804)
Spillover parameters:
Household density elasticity, |$\hat{\psi }$|−0.0435***−0.0181***−0.0367***−0.0667***−0.0183***−0.0307***−0.0595***−0.0192***−0.0264***
(0.0015)(0.0023)(0.0039)(0.0021)(0.0036)(0.0084)(0.0139)(0.0042)(0.0083)
Agglomeration elasticity, |$\hat{\gamma }$|0.0464***0.0464***0.0464***0.0463***0.0463***0.0463***0.0413***0.0405***0.0405***
(0.0062)(0.0062)(0.0062)(0.0055)(0.0055)(0.0055)(0.0036)(0.0016)(0.0016)
Agglomeration decay, |$\hat{\delta }$|0.0306***0.0306***0.0306***0.0302***0.0302***0.0302***0.0221**0.0224**0.0224**
(0.0110)(0.0110)(0.0110)(0.0103)(0.0103)(0.0103)(0.0101)(0.0037)(0.0037)
Congestion elasticity, |$\hat{\lambda }$|0.1310***0.1310***0.1310***0.1304***0.1304***0.1304***0.1451***0.1451***0.1451***
(0.0033)(0.0033)(0.0033)(0.0050)(0.0050)(0.0050)(0.0038)(0.0038)(0.0038)
Greenbelt-by-government region fixed effectsYesYesYesYesYesYesYesYesYes
Number of areas6,7016,7016,7016,7016,7016,7016,7016,7016,701
Number of area pairs19,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,517
BaselineHistoric instrumentSpatial instrument
AllGreenbeltsGreenbeltAllGreenbeltsGreenbeltAllGreenbeltsGreenbelt
areasin 1973border < 1 kmareasin 1973border < 1 kmareasin 1973border < 1 km
(1)(2)(3)(4)(5)(6)(7)(8)(9)
Commuting parameters:
Elasticity of commuting time by road, |$\hat{\varkappa }_\mathcal{rd}$|0.0686***0.0686***0.0686***0.0670***0.0670***0.0670***0.0670***0.0670***0.0670***
(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)
Elasticity of commuting time by rail, |$\hat{\varkappa }_\mathcal{rw}$|0.0428***0.0428***0.0428***0.0445***0.0445***0.0445***0.0445***0.0445***0.0445***
(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)
Elasticity of commuting time by other mode,0.0121***0.0121***0.0121***0.0111***0.0111***0.0111***0.0111***0.0111***0.0111***
|$\hat{\varkappa }_\mathcal{oth}$|(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)
Commuting heterogeneity, |$\hat{\varepsilon }$|5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***
(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)
Greenbelt parameters:
Greenbelt restrictions, |$\hat{\phi }$|−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***
(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)
Share capital in construction costs, |$\hat{\mu }$|0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***
(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)
Greenbelt amenity effect, |$\hat{\zeta }$|0.0672***0.1530***0.1384***0.0830***0.1547***0.1563***0.0631***0.1522***0.1658***
(0.0046)(0.0143)(0.0072)(0.0051)(0.0128)(0.0147)(0.0155)(0.0155)(0.0147)
Greenbelt amenity decay, |$\hat{\theta }$|0.6534***0.8232***0.5517***0.5165***0.7648***0.5341***0.14860.7501***0.5984***
(0.0795)(0.1304)(0.0748)(0.0788)(0.1336)(0.0926)(0.1678)(0.1017)(0.0804)
Spillover parameters:
Household density elasticity, |$\hat{\psi }$|−0.0435***−0.0181***−0.0367***−0.0667***−0.0183***−0.0307***−0.0595***−0.0192***−0.0264***
(0.0015)(0.0023)(0.0039)(0.0021)(0.0036)(0.0084)(0.0139)(0.0042)(0.0083)
Agglomeration elasticity, |$\hat{\gamma }$|0.0464***0.0464***0.0464***0.0463***0.0463***0.0463***0.0413***0.0405***0.0405***
(0.0062)(0.0062)(0.0062)(0.0055)(0.0055)(0.0055)(0.0036)(0.0016)(0.0016)
Agglomeration decay, |$\hat{\delta }$|0.0306***0.0306***0.0306***0.0302***0.0302***0.0302***0.0221**0.0224**0.0224**
(0.0110)(0.0110)(0.0110)(0.0103)(0.0103)(0.0103)(0.0101)(0.0037)(0.0037)
Congestion elasticity, |$\hat{\lambda }$|0.1310***0.1310***0.1310***0.1304***0.1304***0.1304***0.1451***0.1451***0.1451***
(0.0033)(0.0033)(0.0033)(0.0050)(0.0050)(0.0050)(0.0038)(0.0038)(0.0038)
Greenbelt-by-government region fixed effectsYesYesYesYesYesYesYesYesYes
Number of areas6,7016,7016,7016,7016,7016,7016,7016,7016,701
Number of area pairs19,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,517

Notes: We estimate the parameters using data at the MSOA. Bold indicates instrumented. To identify |$\hat{\varkappa }_\mathcal{rd}$|⁠, |$\hat{\varkappa }_\mathcal{rw}$| and |$\hat{\varkappa }_\mathcal{oth}$|⁠, we use the Euclidean distance as an instrument in columns (4)–(9). To identify |$\hat{\mu }$|⁠, we use the distance to the nearest city centre and the distance to the nearest city centre squared as an instrument in all columns. For |$\hat{\lambda }$|⁠, |$\hat{\psi }$|⁠, |$\hat{\gamma }$| and |$\hat{\delta }$|⁠, we use (the log of) the population density in 1931 in columns (4)–(6), and the share of greenbelt land 10–25 km in columns (7)–(9). SEs are bootstrapped (250 replications) and in parentheses; *** |$p\lt 0.01$|⁠, ** |$p\lt 0.5$|⁠.

Table 5.

Structural Parameters.

BaselineHistoric instrumentSpatial instrument
AllGreenbeltsGreenbeltAllGreenbeltsGreenbeltAllGreenbeltsGreenbelt
areasin 1973border < 1 kmareasin 1973border < 1 kmareasin 1973border < 1 km
(1)(2)(3)(4)(5)(6)(7)(8)(9)
Commuting parameters:
Elasticity of commuting time by road, |$\hat{\varkappa }_\mathcal{rd}$|0.0686***0.0686***0.0686***0.0670***0.0670***0.0670***0.0670***0.0670***0.0670***
(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)
Elasticity of commuting time by rail, |$\hat{\varkappa }_\mathcal{rw}$|0.0428***0.0428***0.0428***0.0445***0.0445***0.0445***0.0445***0.0445***0.0445***
(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)
Elasticity of commuting time by other mode,0.0121***0.0121***0.0121***0.0111***0.0111***0.0111***0.0111***0.0111***0.0111***
|$\hat{\varkappa }_\mathcal{oth}$|(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)
Commuting heterogeneity, |$\hat{\varepsilon }$|5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***
(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)
Greenbelt parameters:
Greenbelt restrictions, |$\hat{\phi }$|−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***
(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)
Share capital in construction costs, |$\hat{\mu }$|0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***
(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)
Greenbelt amenity effect, |$\hat{\zeta }$|0.0672***0.1530***0.1384***0.0830***0.1547***0.1563***0.0631***0.1522***0.1658***
(0.0046)(0.0143)(0.0072)(0.0051)(0.0128)(0.0147)(0.0155)(0.0155)(0.0147)
Greenbelt amenity decay, |$\hat{\theta }$|0.6534***0.8232***0.5517***0.5165***0.7648***0.5341***0.14860.7501***0.5984***
(0.0795)(0.1304)(0.0748)(0.0788)(0.1336)(0.0926)(0.1678)(0.1017)(0.0804)
Spillover parameters:
Household density elasticity, |$\hat{\psi }$|−0.0435***−0.0181***−0.0367***−0.0667***−0.0183***−0.0307***−0.0595***−0.0192***−0.0264***
(0.0015)(0.0023)(0.0039)(0.0021)(0.0036)(0.0084)(0.0139)(0.0042)(0.0083)
Agglomeration elasticity, |$\hat{\gamma }$|0.0464***0.0464***0.0464***0.0463***0.0463***0.0463***0.0413***0.0405***0.0405***
(0.0062)(0.0062)(0.0062)(0.0055)(0.0055)(0.0055)(0.0036)(0.0016)(0.0016)
Agglomeration decay, |$\hat{\delta }$|0.0306***0.0306***0.0306***0.0302***0.0302***0.0302***0.0221**0.0224**0.0224**
(0.0110)(0.0110)(0.0110)(0.0103)(0.0103)(0.0103)(0.0101)(0.0037)(0.0037)
Congestion elasticity, |$\hat{\lambda }$|0.1310***0.1310***0.1310***0.1304***0.1304***0.1304***0.1451***0.1451***0.1451***
(0.0033)(0.0033)(0.0033)(0.0050)(0.0050)(0.0050)(0.0038)(0.0038)(0.0038)
Greenbelt-by-government region fixed effectsYesYesYesYesYesYesYesYesYes
Number of areas6,7016,7016,7016,7016,7016,7016,7016,7016,701
Number of area pairs19,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,517
BaselineHistoric instrumentSpatial instrument
AllGreenbeltsGreenbeltAllGreenbeltsGreenbeltAllGreenbeltsGreenbelt
areasin 1973border < 1 kmareasin 1973border < 1 kmareasin 1973border < 1 km
(1)(2)(3)(4)(5)(6)(7)(8)(9)
Commuting parameters:
Elasticity of commuting time by road, |$\hat{\varkappa }_\mathcal{rd}$|0.0686***0.0686***0.0686***0.0670***0.0670***0.0670***0.0670***0.0670***0.0670***
(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)(0.0002)
Elasticity of commuting time by rail, |$\hat{\varkappa }_\mathcal{rw}$|0.0428***0.0428***0.0428***0.0445***0.0445***0.0445***0.0445***0.0445***0.0445***
(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)(0.0001)
Elasticity of commuting time by other mode,0.0121***0.0121***0.0121***0.0111***0.0111***0.0111***0.0111***0.0111***0.0111***
|$\hat{\varkappa }_\mathcal{oth}$|(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)(0.0000)
Commuting heterogeneity, |$\hat{\varepsilon }$|5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***5.5274***
(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)(0.1269)
Greenbelt parameters:
Greenbelt restrictions, |$\hat{\phi }$|−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***−1.1600***−2.2111***−1.7926***
(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)(0.0408)(0.0374)(0.0199)
Share capital in construction costs, |$\hat{\mu }$|0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***0.7115***0.5624***0.7058***
(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)(0.0114)(0.0939)(0.1229)
Greenbelt amenity effect, |$\hat{\zeta }$|0.0672***0.1530***0.1384***0.0830***0.1547***0.1563***0.0631***0.1522***0.1658***
(0.0046)(0.0143)(0.0072)(0.0051)(0.0128)(0.0147)(0.0155)(0.0155)(0.0147)
Greenbelt amenity decay, |$\hat{\theta }$|0.6534***0.8232***0.5517***0.5165***0.7648***0.5341***0.14860.7501***0.5984***
(0.0795)(0.1304)(0.0748)(0.0788)(0.1336)(0.0926)(0.1678)(0.1017)(0.0804)
Spillover parameters:
Household density elasticity, |$\hat{\psi }$|−0.0435***−0.0181***−0.0367***−0.0667***−0.0183***−0.0307***−0.0595***−0.0192***−0.0264***
(0.0015)(0.0023)(0.0039)(0.0021)(0.0036)(0.0084)(0.0139)(0.0042)(0.0083)
Agglomeration elasticity, |$\hat{\gamma }$|0.0464***0.0464***0.0464***0.0463***0.0463***0.0463***0.0413***0.0405***0.0405***
(0.0062)(0.0062)(0.0062)(0.0055)(0.0055)(0.0055)(0.0036)(0.0016)(0.0016)
Agglomeration decay, |$\hat{\delta }$|0.0306***0.0306***0.0306***0.0302***0.0302***0.0302***0.0221**0.0224**0.0224**
(0.0110)(0.0110)(0.0110)(0.0103)(0.0103)(0.0103)(0.0101)(0.0037)(0.0037)
Congestion elasticity, |$\hat{\lambda }$|0.1310***0.1310***0.1310***0.1304***0.1304***0.1304***0.1451***0.1451***0.1451***
(0.0033)(0.0033)(0.0033)(0.0050)(0.0050)(0.0050)(0.0038)(0.0038)(0.0038)
Greenbelt-by-government region fixed effectsYesYesYesYesYesYesYesYesYes
Number of areas6,7016,7016,7016,7016,7016,7016,7016,7016,701
Number of area pairs19,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,51719,673,517

Notes: We estimate the parameters using data at the MSOA. Bold indicates instrumented. To identify |$\hat{\varkappa }_\mathcal{rd}$|⁠, |$\hat{\varkappa }_\mathcal{rw}$| and |$\hat{\varkappa }_\mathcal{oth}$|⁠, we use the Euclidean distance as an instrument in columns (4)–(9). To identify |$\hat{\mu }$|⁠, we use the distance to the nearest city centre and the distance to the nearest city centre squared as an instrument in all columns. For |$\hat{\lambda }$|⁠, |$\hat{\psi }$|⁠, |$\hat{\gamma }$| and |$\hat{\delta }$|⁠, we use (the log of) the population density in 1931 in columns (4)–(6), and the share of greenbelt land 10–25 km in columns (7)–(9). SEs are bootstrapped (250 replications) and in parentheses; *** |$p\lt 0.01$|⁠, ** |$p\lt 0.5$|⁠.

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