In the case of static modeling, the process network is translated into a set of linear equations describing the flows and accumulations as dependent on one another. Emission factors and distribution factors over the various outputs for the economic processes and partition coefficients for the environmental compartments can be used as such variables. A limited amount of accounting data is required as well for a solution of the set of equations, but the modeling outcome is determined largely by the distribution pattern. The description of the system as such a matrix equation opens up possibilities for various types of analysis: the existence of solutions, the solution space and the robustness of the solution can be studied by means of standard algebraic techniques, as is shown by Bauer et al. (1997) and by Heijungs (1994, 1997a) for the related product life cycle assessment.
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