## Static Models

Static models are designed to characterize the balance of energy, water, or nutrients flows within an ecosystem and their relation to ecosystem environment.

Balance Models

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.

Residence Times

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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