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. Author manuscript; available in PMC: 2014 Dec 10.
Published in final edited form as: Am Econ Rev. 2011 Aug;101(5):2003–2041. doi: 10.1257/aer.101.5.2003

Table D.3.

Robustness to Corrections for Spatial Autocorrelation

(1) (2) (3) (4) (5) (6)

Corrected OLS Spatial GMM Corrected OLS Spatial GMM Corrected OLS Spatial GMM

Full Sample Restricted Sample Full Sample Restricted Sample Full Sample Restricted Sample

Dependent Variable is Log Population Density in:
1500 CE 1000 CE 1 CE



Log Years since Neolithic Transition 1.087*** [0.184] 2.038*** [0.387] 1.480*** [0.213] 2.713*** [0.498] 1.930*** [0.316] 3.322*** [0.404]
Log Land Productivity 0.576*** [0.053] 0.583*** [0.092] 0.497*** [0.066] 0.575*** [0.095] 0.394*** [0.076] 0.448*** [0.093]
Log Absolute Latitude −0.314*** [0.108] −0.257* [0.141] −0.229* [0.123] −0.117 [0.138] 0.057 [0.101] 0.124 [0.115]
Mean Distance to Nearest Coast or River −0.392** [0.195] 0.318 [0.351] −0.528** [0.207] 0.373 [0.370] −0.685*** [0.168] −0.423 [0.294]
Percentage of Land within 100 km of Coast or River 0.899*** [0.319] 1.395*** [0.417] 0.716** [0.351] 1.550*** [0.409] 0.857** [0.371] 1.143** [0.461]

Continent Dummies Yes Yes Yes Yes Yes Yes
Observations 147 96 142 94 128 83
R-squared 0.73 0.70 0.67 0.62 0.69 0.72

Notes – (i) log land productivity is the first principal component of the log of the percentage of arable land and the log of an agricultural suitability index; (ii) the spatial GMM regressions employ the numbers of prehistoric domesticable species of plants and animals as instruments for log transition timing; (iii) a single continent dummy is used to represent the Americas, which is natural given the historical period examined; (iv) the spatial GMM regressions do not employ the Oceania dummy due to a single observation for this continent in the corresponding regression samples; (v) standard errors corrected for spatial autocorrelation are reported in square brackets; (vi) the spatial distribution of countries in ℜ2 is specified using aerial distances between geodesic centroids; (vii) the spatial autocorrelation in error terms is modelled as declining linearly along a 4,000 km radius from each observation; (viii) *** denotes statistical significance at the 1 percent level, ** at the 5 percent level, and * at the 10 percent level, all for two-sided hypothesis tests.