Static models are designed to characterize the balance of energy, water, or nutrients flows within an ecosystem and their relation to ecosystem environment.
The balance of inflow and outflow to a given compartment is described by an algebraic equation n n
where fij is the intrasystem flow from jth to ith compartment, Zj is input from outside, and yi is ecosystem output.
A balance model allows us to estimate the period of time that the substance under concern resides in the system or in a given compartment.
Future residence time
Let gj denote the total throughflow of compartment j (which is equal to inflow and outflow), then the fraction of gj that gets compartment i is
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