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. 2020 Apr 27;117(19):10225–10233. doi: 10.1073/pnas.1910719117

Table 3.

Impact of irrigation infrastructure on agricultural productivity and cropland expansion

Agricultural Productivity Cropland Area
X = 2 X = 3 X = 4
No. upstream dams 0.0743* 0.037420* 0.038960*** 0.028461***
(0.031) (0.015) (0.007) (0.005)
Wet anomaly 0.1886***
(0.022)
Wet anomaly × no. upstream dams −1.0743***
(0.220)
X + wet anomalies 0.000123 0.000528 0.001135*
(0.000) (0.000) (0.000)
X + wet anomalies × no. upstream dams 0.001480 −0.010607 −0.013812
(0.013) (0.013) (0.021)
Dry anomaly −0.1338***
(0.009)
Dry anomaly × no. upstream dams 0.1905**
(0.070)
X + dry anomalies 0.001124** 0.002153*** 0.001796***
(0.000) (0.000) (0.000)
X + dry anomalies × no. upstream dams −0.023459+ −0.04423*** −0.018970**
(0.014) (0.007) (0.006)
N 63,154 703,512 703,512 703,512
Kleibergen–Papp LM-stat 107.6 123.471 180.597 141.091
Kleibergen–Papp LM P value 0.000 0.0000 0.0000 0.0000
Kleibergen–Papp F-stat 25.32 30.491 44.888 35.107

Dependent variable in column 2 is the change in log NPP in a grid cell. Dependent variable in columns 3 to 5 is the 5-y average annual change in log cropland area in a grid cell. All regression models include controls for year and country fixed effects as well as temperature, population, country–year trends, terrain roughness, aquifer presence, and CTI. Columns 3 to 5 also control for annual precipitation. X + wet (dry) rainfall anomalies is a time-varying dummy variable indicating if rainfall was at least 1 SD higher (lower) than the long-run mean of the grid cell for X or more years out of the prior 10 y, where X is given in the second row. Upstream dams is a count variable which indicates the number of upstream dams from the grid cell. Statistical significance is given by +P < 0.10, *P < 0.05, **P < 0.01, and ***P < 0.001. Robust clustered SEs are in parentheses. The regressions pass diagnostic tests for instrument relevance (Kleibergen–Papp LM test) and the test for weak instruments (Kleibergen–Papp Wald test) providing supporting evidence about the validity of the instrumental variables. Additional details are provided in Materials and Methods and SI Appendix.