Adaptive Dynamics
Adaptation rate = Flexibility × Marginal growth benefit
In the Gradient Adaptive Dynamics framework, only few important characteristics of a system are identified. The temporal evolution of this characteristic (X) then follows the gradient of the growth rate with respect to changes in the trait (this is commonly called marginal growth benefit) at a speed which is related to the variability in the trait.
An example system
Most models merely reduce biological dynamics to growth processes. We seek for an efficient representation of regulatory effects which are often more important than growth. In the three examples shown here the transitory response of different systems to a sudden nutrient shortage is simulated using the generic adaptation rule.
Chlorophyll to Carbon Ratio
Nitrogen to Carbon Ratio
Variations in the CHL:C and N:C stoichiometry reflect physiological changes in phytoplankton cells. These variations are important when simulating the specific light response of primary producers or the role of algae in biogeochemical cycles.
Using a new optimality approach, these physiological adaptations can be effectively incorporated into models, enhancing model accuracy and our understanding.
Wirtz & Pahlow (MEPS) 2010