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. 2004 Feb 25;101(10):3715–3720. doi: 10.1073/pnas.0305531101

Table 3. Regressions.

Regression model
1 2 3 4 5 6 7 8 9
Dependent variables ⇒ Ãn (T - Inline graphic) log yn log yn log yn log yn Quality of institutions Quality of institutions log yn
Geography 1.63 (0.08|0.00) 0.628 (0.07|0.00)
log geography 4.71 (0.23|0.00) 2.04 (0.18|0.00) 1.33 (0.39|0.00) 0.527 (0.03|0.06)
(T - Inline graphic) (1,000s) 0.38 (0.04|0.00) 1.80 (0.63|0.00) 2.50 (0.04|0.00) 5.61 (0.68|0.00)
(T - Inline graphic)2 −0.11 (0.04|0.01) −0.16 (0.03|0.00)
Quality of institutions 0.037 (0.003|0.00) 0.048 (0.20|0.00)
Adjusted R2 0.79 0.78 0.53 0.52 0.57 0.80 0.43 0.38 0.67

n = 112. The estimator is ordinary linear least-squares. The variables geography, biogeography (Ãn), thousands of years since the transition to agriculture (T - Inline graphic), log 1997 GDP per capita (log yn), and institutions are discussed in the main text. The inflection points implied by the quadratic specifications in (T - Inline graphic) always exceed the empirical maximum, and therefore the estimated functions are (slightly) concave over their whole range and never backward-bending. In parentheses are SE/P value of coefficient estimates. Regression intercept constants are not reported.