| Abstrakt: |
Transformities as calculated by H.T. Odum1 (or the QEM or quality equivalent mechanism of M. Patterson2) are shown to be related to a certain inverse problem, namely finding a system of linear differential equations which have the same equilibrium point as the steady-state ecosystem. Of interest is the question of how, if at all, the dynamics of the system of linear differential equations is related to the dynamics of the real ecosystem and whether better inverse solutions can be found. As an example, consider an ecosystem with two process equations as follows:Here a steady-state flow input of 30 units of energy into process 1 results in a usable steady-state flow output of 15 units, and process 2 converts this 15 units into 8 units of a new steady-state flow output. The solution for the transformities of this system is x1 = 1, x2 = 2, and x3 = 3.75; however the system of linear differential equations and the input flow of 30 has the same equilibrium point as the original flows. It is shown that the system is completely controllable in terms of the input flow (30, this case) to the first variable (October 3, 1999). [Copyright &y& Elsevier] |
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