The correlated-k method for radiation calculations in nonhomogeneous atmospheres

The accuracy of the correlated-k method, which is a technique for radiation calculations with spectrally averaged data in nonhomogeneous atmospheres, is investigated. Comparisons are made for scattering and absorbing atmospheres containing CO2, H2O, and O3, and it is concluded that: (1) the errors in correlated-k are generally of order of magnitude 1 percent, (2) much larger errors occur only when a radiative quantity is very much smaller than its average value, (3) errors do not depend systematically on the gas molecule, the distributions of gases and aerosols, or on the aerosol optical properties, and (4) errors do not systematically increase with the order of differencing. It is shown that the multiplication property for transmission by overlapping bands can be incorporated into correlated-k, that temperature effects can be interpolated on a coarse grid, and that 10 quadrature points are often sufficient to average over complex spectral intervals containing thousands of lines.