On the theory of advective effects on biological dynamics in the sea. II. Localization, light limitation, and nutrient saturation

The theory of advective effects is extended to include localization effects , due both to the attenuation of light with depth in the ocean and to nutri ent transport into the euphotic zone of finite duration in time and/or over a limited horizontal domain. Nutrient uptake is also generalized to nonlin ear Michaelis-Menten kinetics. The characteristic curves are solved for exp licitly, and a symbolic general solution is obtained for arbitrary biologic al dynamics. Some exemplary results are presented for the effect of light, nutrient, and grazing limitations on primary productivity in an NPZ model. The theory is now applicable to further studies of more realistic oceanic p rocesses.