Additional Robustness Checks for the Spatial Error Model
(a) | (b) | (c) | (d) | (e) | (f) | (g) | |
---|---|---|---|---|---|---|---|
Distance to nearest city center×Within 10 miles | −0.0086*** (0.0013) | −0.0103*** (0.0012) | −0.0094*** (0.0013) | −0.0096*** (0.0012) | −0.0099*** (0.0013) | −0.0093*** (0.0012) | −0.0106*** (0.0014) |
Distance to nearest city center×Within 10 miles×Post-2008 dummy | 0.0046* (0.0026) | 0.0022 (0.0027) | 0.0003 (0.0027) | 0.0045* (0.0025) | 0.0048* (0.0025) | 0.0046* (0.0025) | 0.0052** (0.0025) |
Distance to nearest city center×Beyond 10 miles | −0.0076*** (0.0012) | −0.0083*** (0.0011) | −0.0073*** (0.0012) | −0.0083*** (0.0011) | −0.0086*** (0.0012) | −0.0080*** (0.0011) | −0.0096*** (0.0013) |
Distance to nearest city center×Beyond 10 miles×Post-2008 dummy | 0.0067*** (0.0025) | 0.0028 (0.0024) | 0.0002 (0.0015) | 0.0064*** (0.0024) | 0.0063*** (0.0024) | 0.0064*** (0.0024) | 0.0066*** (0.0024) |
Incremental distance to second-nearest city center | −0.0036*** (0.0007) | −0.0043*** (0.0007) | −0.0044*** (0.0008) | −0.0044*** (0.0007) | −0.0045*** (0.0007) | −0.0042*** (0.0007) | −0.0049*** (0.0008) |
Incremental distance to second-nearest city center×Post-2008 dummy | 0.0038** (0.0017) | 0.0010 (0.0016) | 0.0004 (0.0010) | 0.0035** (0.0016) | 0.0034** (0.0016) | 0.0036** (0.0016) | 0.0030* (0.0016) |
Urban population within 25 miles | 0.0003*** (0.0000) | 0.0003*** (0.0000) | 0.0003*** (0.0000) | 0.0003*** (0.0000) | 0.0003*** (0.0000) | 0.0003*** (0.0000) | 0.0002*** (0.0000) |
Urban population within 25 miles×Post-2008 dummy | 1.00E–04 (0.0001) | −3.64E–04*** (0.0001) | −1.54E–04** (0.0001) | 1.56E–04 (0.0001) | 1.58E–04 (0.0001) | 1.33E–04 (0.0001) | 1.60E–04 (0.0001) |
Gravity index | 2.08E–05*** (0.0000) | 2.29E–05*** (0.0000) | 2.56E–05*** (0.0000) | 2.55E–05*** (0.0000) | 2.47E–05*** (0.0000) | 2.54E–05*** (0.0000) | 2.43E–05*** (0.0000) |
Gravity index×Post-2008 dummy | −2.14E–05*** (0.0000) | −2.28E–05*** (0.0000) | −2.55E–05*** (0.0000) | −2.61E–05*** (0.0000) | −2.50E–05*** (0.0000) | −2.60E–05*** (0.0000) | −2.50E–05*** (0.0000) |
Building area % of parcel | 0.1790*** (0.0542) | 0.0307 (0.0540) | 0.0402 (0.0498) | 0.1511** (0.0521) | 0.1437*** (0.0520) | 0.1534*** (0.0521) | 0.1498*** (0.0517) |
Distance to highway on-ramp | −0.0063* (0.0035) | −0.0076** (0.0033) | −0.0069** (0.0031) | −0.0052 (0.0034) | −0.0054 (0.0035) | −0.0056 (0.0033) | −0.0044 (0.0036) |
Distance to railway station | 0.0053 (0.0036) | 0.0021 (0.0034) | 0.0004 (0.0032) | 0.0036 (0.0036) | 0.0039 (0.0036) | 0.0043 (0.0035) | 0.0039 (0.0036) |
Prices with assessed building values | Yes | ||||||
The post period is 2008 only | Yes | ||||||
Shifting the year of change to 2005 | Yes | ||||||
Spatial weights matrix | 2nn | 2nn | 2nn | Scalar-normalized | Inverse-distance | 1nn | 4nn |
Spatial autocorrelation coefficient | 0.1255*** (0.0102) | 0.1459*** (0.0105) | 0.1454*** (0.0099) | 0.0673*** (0.0051) | 0.1814*** (0.0118) | 0.0844*** (0.0077) | 0.2827*** (0.0148) |
AIC | 20,692 | 17,035 | 19,189 | 19,878 | 19,821 | 19,931 | 19,711 |
Root mean squared error | 0.6517 | 0.5849 | 0.5836 | 0.6264 | 0.6240 | 0.6287 | 0.6197 |
Number of observations | 10,378 | 10,378 | 10,378 | 10,378 | 10,378 | 10,378 | 10,378 |
Note: In all models the dependent variable is the log of per-acre agricultural land prices without structures, except for column (a). In column (d), we use a scalar-normalized spatial weights matrix instead of a row-standardized one, following the suggestions of Kelejian and Prucha (2010), in which the scalar is the minimum of the maximum row sums and maximum column sums of the input weights. In column (e), we use an inverse-distance spatial weights matrix rather than a k-nearest-neighbor one. 1nn, 2nn, and 6nn denote a 1-nearest-neighbor, 2-nearest- neighbor, and 6-nearest-neighbor spatial weights matrix, respectively. The estimated standard errors of the spatial autocorrelation coefficients are in parentheses. AIC, Akaike information criterion.
*, **, and *** indicate the coefficient is significant at the 10%, 5%, and 1% levels, respectively.