Helmholtz-Zentrum Geesthacht, 2012-02-11
http://www.hzg.de/institute/coastal_research/structure/operational_systems/KOE/topics/topics/002161/index_0002161.html

Adaptive Dynamics

In order to describe adaptive processes on the cellular, population or community level we derived and apply a general rule. It determines the dynamic regulation of any characteristics X which affects the relative growth rate. Similar mathematical laws are used for the generalized flow in thermodynamics or selection in evolutionary biology.

Gradient adaptive dynamics

Adaptation rate = Flexibility × Marginal growth benefit 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.

enlarge graphic

phytoplankton CHL:C and N:C stoichiometry

Chlorophyll to Carbon Ratio Chlorophyll to Carbon Ratio

Nitrogen 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  

Where we use adaptation rules

Ecosystem Dynamics


Human-nature interaction


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