By Mauk Mulder (auth.), B. van Rootselaar (eds.)
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2. Grinten, P. M. E. M. van der, Jong, P. J. de, World Dynamics, seen from the System and Control Engineering point of view (in Dutch). Chemisch Weekblad 10-12-1971, pp. 9-11. 3. Cuypers, J. G. , Two simplified versions of Forrester's model, Automatica, (1973), pp. 399-401. 4. Larson, R. , Korsak, A. , A dynamic programming successive approximations technique with convergence proofs. Automatica, vol. 6 (1970), pp. 245-260. 5. National project group Global Dynamics, coordinated by O. Rademaker, Techn.
0, which means the MSL cannot decrease below the level of 1970. 90 respectively. The optimal solutions in all the cases show the same characteristics. The population initially decreases, which can be made plausible as follows. The criterion to be optimized is J~ QL(t) . P(t)dt and QL(t) depends on pet) also according to its definition. Now consider o(QL(P)· P)/oP. For 1970 it appears that ~ (QL(P)· P) = QL(O)· {1-0,8 F6 . Cl(O) -0,5} = OP P(O) -0,3 and hence a decrease in the population gives an increase in the product QL .
The corpus of a componential transformation is the transformation that takes place in the Ctf set and the set of relation R, the restriction of R to arguments of the type Sti' For a componential transformation of type-I holds: L(tm) = L(tt) = L(t/) = Lti (11) The general model for each relation is r(tm) = (Sti' Stm, Stmlti) r(tt) = (Sti' Stm, Stmlti) (12) This holds fully for the general, substitution, case. Addition and subtraction 52 R. A. RASCH are limit cases for Stm = Stmltl = 0 and Stt = Stlltt = 0, respectively.