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. 2019 Mar 25;116(17):8249–8254. doi: 10.1073/pnas.1814970116

Table 2.

Effect of the ratio of forest area (7.5-km radius) on access to clean drinking water (two-stage least-square estimation)

Regression stage 1 2 3 4
First-stage regression
Dependent variable Ratio of forest area
Latitude × time dummy 0.0297*** (0.00441) 0.0305*** (0.00445) 0.0305*** (0.00444) 0.0305*** (0.00444)
Log of rainfall −0.0987** (0.0421) −0.0919** (0.0419) −0.0922** (0.0419) −âĹŠ0.0925** (0.0418)
Kleibergen–Paap 45.45 46.95 47.16 47.23
R2 0.948 0.949 0.949 0.949
Second-stage regression
Dependent variable Clean drinking water dummy
Ratio of forest area 1.063** (0.494) 0.959** (0.465) 0.922** (0.455) 0.932** (0.453)
Log of rainfall 0.610*** (0.169) 0.569*** (0.163) 0.577*** (0.160) 0.566*** (0.159)
R2 0.252 0.256 0.263 0.266
Control variables
Log of population Yes Yes Yes
Temperature Yes Yes Yes
Demographic characteristics Yes Yes
Household wealth Yes
N 9,682 9,682 9,682 9,682

The clustering robust standard errors are in parentheses, assuming that the error terms are correlated within each cluster × year cell. The endogenous variable is the ratio of forest area and is instrumented by the latitude × time dummy. Top and middle sections display the results of the first- and second-stage regressions, respectively. All columns in top and middle sections include the cluster fixed effect, time fixed effect, log of rainfall, and cluster-level initial values×time dummy as control variables. Bottom section displays the specification of additional control variables. * indicates significant at 10%; ** indicates significant at 5%; *** indicates significant at 1%.