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The dynamics of exploitation in ensembles of source and sink

Friedrich, T. (2012): The dynamics of exploitation in ensembles of source and sink.

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The ensemble is a new entity on a higher level of complexity composed of source and sink. When substrate is transferred from source to sink within the transfer space or the ensemble space non-linearity is observed. Saturating production functions of source and sink in combination with linear cost functions generate superadditivity and subadditivity in the productivity of the ensemble. In a reaction chain the source produces a product that will be used by the sink to produce a different product. The combined and interdependent productivity of the ensemble forms a surface similar to the Cobb-Douglas surface. Source and sink form a harmonic, synergistic ensemble. When source and sink use the same substrate there will be competition. Both parties may have different saturating production functions, different linear cost functions and different amounts of substrates in their compartment. In an active ensemble substrate is transferred following the concentration gradient in harmony or through brute force or information (education) and superadditivity or subadditivity will appear. The surface within the transfer space or the ensemble space in the active ensemble is in some regions above or below the surface of the inactive ensemble. When substrate is repeatedly transferred from source to sink the actual productivity of the ensemble moves along the surface to a stable point or one party is lost and the ensemble is destroyed. This movement is the dynamic aspect of the ensemble. The benefit to cost ratio of source, sink and ensemble can be interpreted as three-dimensional, non-linear coordinates of the ensemble appearing within the transfer space.

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