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. 2014 Jan 31;111(6):2054–2055. doi: 10.1073/pnas.1323417111

Table 2.

Random effects multilevel models (MLM-RE)

3. Threshold 1000
4. Threshold 1000 with covariates
5. Threshold 25
6. Threshold 25 with covariates
Fixed Part Estimate SE Estimate SE Estimate SE Estimate SE
(Intercept) 9.668 8.248 5.916 6.058 −9.598 10.159 4.144 6.187
Temp B 0.384 1.557 −0.068 1.171 1.129 2.691 0.342 0.233
Temp W 0.045* 0.023 0.026 0.022 0.051 0.041 0.030 0.032
Tempt−1, B −0.392 1.561 0.061 1.173 −1.131 2.697 −0.342 0.233
Tempt−1 W 0.013 0.024 −0.008 0.023 −0.008 0.033 −0.011 0.033
Precip B 1.420 3.386 0.134 2.560 3.349 7.045 −0.166 0.448
Precip W 0.014 0.072 −0.026 0.060 0.118 0.092 0.050 0.065
Precipt−1 B −1.456 3.394 −0.154 2.560 −3.395 7.060 0.167 0.451
Precipt−1 W 0.029 0.073 0.018 0.073 −0.017 0.095 −0.049 0.081
Year W −0.005 0.004 −0.003 0.003 0.005 0.005 −0.002 0.003
Pol. exclusiont−1 B 0.128 0.087 0.020 0.014
Pol. exclusiont−1 W 0.195** 0.088 0.014 0.067
Ln GDP capitat−1 B 0.014 0.014 −0.005 0.005
Ln GDP capitat−1 W −0.119 0.076 −0.111*** 0.041
Post-cold war B −0.120 0.228 0.090 0.068
Post-cold war W −0.030 0.030 0.072* 0.039
Conflictt−1 B 0.531*** 0.099 0.997*** 0.011
Conflictt−1 W 0.271*** 0.061 0.443*** 0.077
Random Part
Level 2: σ2 0.042 0.010 0.091 0.000
Level 1: σ2 0.055 0.045 0.097 0.073
Country VPC 43.6% 18.4% 48.3% 0.0%
Conflicts 98 98 226 226
σresiduals 0.229 0.208 0.305 0.270
σ reduction 26.9% 33.6% 30.0% 38.0%

Models 3–4 extend Burke et al. (1) model 2, models 5–6 extend Buhaug (2) model 7. Significance codes: ***P < 0.01, **P < 0.05, *P < 0.1. B, between countries; W, within country; σ is SD. VPC is the variance partition coefficient = σ2country/(σ2country + σ2year). σ reduction (%) is the percentage decrease in the dependent variable (DV) σ compared to the residuals σ: (σDV - σres)/σDV. Linear MLM-RE models fit using maximum likelihood, 889 country–year observations. SEs are robust country-clustered.