A model for the diffuse attenuation coefficient of downwelling irradiance

The diffuse attenuation coefficient for downwelling irradiance (K-d) is an important parameter for ocean studies. For the vast ocean the only feasible means to get fine-scale measurements of K-d is by ocean color remote sensing. At present, values of K-d from remote sensing are estimated using empirical algorithms. Such an approach is insufficient to provide an understanding regarding the variation of K-d and contains large uncertainties in the derived values. In this study a semianalytical model for K-d is developed based on the radiative transfer equation, with values of the model parameters derived from Hydrolight simulations using the averaged particle phase function. The model is further tested with data simulated using significantly different particle phase functions, and the modeled K-d are found matching Hydrolight K-d very well (similar to 2% average error and similar to12% maximum error). Such a model provides an improved interpretation about the variation of K-d and a basis to more accurately determine K-d ( especially using data from remote sensing).