Table 2 Partial derivatives of the...

Table 2

Partial derivatives of the directional distance function with respect to outputs

Good outputs	$\partial {\vec{D}}_{0} / \partial y$
SALR	−0.73043
SALIC	−0.33642

Bad outputs	$\partial {\vec{D}}_{0} / \partial \tilde{y}$
SO₂	0.06340
CO₂	0.00230
NO_X	0.00115

Note(s): Direction: $g_{y} = 1, - g_{\tilde{y}} = - 1$ ⁠. These partial derivatives are averages weighted for electricity sales (including residential and industrial-commercial) by utilities

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