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Turbulent fluxes in the atmospheric surface layer are key input for theprediction of weather, hydrology, and carbon dioxide concentration. Innumerical modelling of turbulent fluxes, a -7/3 power-law scaling in turbulencecospectra is usually assumed at high wavenumbers. In eddy-covariance (EC)measurements of turbulent fluxes, an assumed shape of turbulence cospectra istypically required for high-frequency spectral corrections, typically assuminga -7/3 power law. The derivation of -7/3 power-law scaling is based primarilyon dimensional analysis, and other cospectral scaling has also been observed.Here we examine the shape of turbulence cospectra at high wavenumbers fromextensive field measurements of wind velocity, temperature, water vapour andCO2 concentrations in various stably stratified atmospheric conditions. Wepropose a turbulence cospectral shape with -2 power law rather than -7/3 lawfor high wavenumber equilibrium range of the stable atmospheric boundary layer.This finding contributes to improved estimation of turbulent fluxes in bothmodelling and observation.

On the Power-law Scaling of Turbulence Cospectra Part 1: Stably Stratified Atmospheric Boundary Layer