Environmental Impact Coefficient

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Definition

Environmental Impact Coefficient is a straightforward approach to account for pollution generation associated with interindustry activity.

Formula

Assume a matrix of pollution output or direct impact coefficients, Dp = [dkj p,

Each element of which is the amount of pollutant type k, e.g., sulfur dioxide, generated per dollar’s worth of industry j’s output. Hence, the level of pollution associated with a given vector of Total Output can be expressed as xp = Dp x

where x p∗ is the vector of pollution levels.

By adding the traditional Leontief Model, x = L f where L = (I - A)^{-1} , we can compute xp∗ as a function of final demand, that is, the total pollution of each type generated by the economy directly and indirectly in supporting that final demand:

x p∗ = [Dp L]f

We can view the bracketed quantity as a matrix of total environmental impact coefficients; that is, an element of this matrix is the total pollution impact generated per dollar’s worth of final demand presented to the economy.

Further Resources

References