Poverty, disease and the ecology of complex systems: supporting information

where Y is total output (or income), t is time, H is the stock of capital, and L is the labor supply. The parameter α ∈ (0, 1) is a distribution parameter, and σ = 1/(1 − ρ) is the elasticity of substitution between capital and technology-augmented labor. The CES function is among the most commonly employed production functions, and was among the original models presented by [2]. The CES is a generalized production function, which collapses to: 1) the Cobb-Douglas production function [3] as ρ→ 0 or as σ → 1; 2) the linear production function as ρ→ 1 or as σ →∞; and 3) the Leontief production function [4] as ρ→∞ or as σ → 0. The standard neoclassical growth model [2] describes the rate of change of capital over time in accordance with the following equation: