Redefining the Eddy Covariance Equation For Source-Associated Atmospheric Components: Implications For WPL Adjustments

We present a derivation of the transport equation from its initial form through to its eddy covariance form including WPL type parametrization for vertical velocity. In this derivation we introduce a more specific definition of the scalar gas being transported by differentiating between the background (inactive) trace gas components from the trace gas components actively associated with the scalar source term. The resulting equations (derived for different measurement methods) indicate that mixing ratio results in a difficult to parametrize equation set and that the effect of the typically employed WPL adjustment is too large by at least an order of magnitude.