Detection of emergent situations in complex systems represented by algebras of transformations

Abstract

In this paper we will investigate emergent situations in complex systems represented by algebras of transformations. Though algebras of transformations seem to be rather distanced from a modeled complex system we show that it is representation very effective and for our application very appropriate. The paper continues in recent published works where the detection of an emergent situation was done by indication of violence of so called structural invariants. In this paper is used only one type of structural invariant Matroid and Matroid Bases (M, BM). A simple calculus for the emergent situation appearance computation is introduced. The application of the presented approach and computation method is demonstrated for the case of a possible collapse of the selected ecosystem.