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N o t e that although the small-population submodel is a stochastic version of the deterministic L o t k a - V o l t e r r a model used for large numbers, it m a y be a crude summary of the local interaction in these circumstances, thus optimal settings of the primed parameters m a y bear little relation t o their deterministic counterparts. 1. Multilevel Multiformalism Modeling: An Ecosystem Example 33 Indeed, this methodology suggests that a second-level spatial characterization of each orange could be built.

C a m b r i d g e Univ. Press, L o n d o n and New York. Whitehead, B. (1978). A neural network model of h u m a n pattern recognition. P h . D . Thesis, Univ. of Michigan, Ann Arbor. Zeigler, B. P. (1976a). " Wiley, New York. Zeigler, B. P. (1976b). T h e aggregation problem. In "Systems Analysis and Simulation in Ecology" (B. C. ), Vol. 4, pp. 2 9 9 - 3 1 1 . Academic Press, New York. Zeigler, B. P. (1977a). Persistence and patchiness of predator-prey systems induced by discrete event population exchange mechanisms.

This research was s u p p o r t e d in p a r t by the N a t i o n a l Science F o u n d a t i o n G r a n t N o . MCS76-04297. 54 Bernard P . Zeigler REFERENCES Bosworth, J. L. (1975). Software reliability by redundancy. P h . D . Thesis, Univ. of Michigan, Ann Arbor. Gurney, W. S. C , and Nisbet, R. M. (1978). F l u c t u a t i o n s in p r e d a t o r - p r e y populations in patchy environments. J. Anim. Ecol. 47, 8 5 - 1 0 2 . Hassel, M. , and May, R. M. (1974). Aggregation in predators and insect parasites and its effect on stability.

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