On The Theory Of Advective Effects On Biological Dynamics In The Sea, Proc. A: Math., Phy. & Engg. Sc.
A nonlinear model for biological and physical dynamical interactions in a laminar upwelling flow field in parts I and II of this study is extended to turbulent flow. In the previous studies, a prescription for obtaining quadrature solutions to the fundamental biodynamical equations was developed. In this study, we use a probability density function approach on these solutions to obtain statistics of the biodynamical state variables and their self-interaction for the case of turbulent advection. To illustrate the theory, a simple nutrient (N), phytoplankton (P) problem is considered, that of upwelling into a surface turbulent layer. (...)