Algebra of Ecology

Abstract

This monograph examines issues that serve as theoretical prerequisites for constructing an algebra of ecology. These issues include: basic concepts; interactions of ecological factors; a formal definition of the ecological niche; the group-theoretical relationship of survival coefficient functions; and certain representations of the group. It also explores a variety of information models and ecological survival fields.
The results of investigating the aforementioned issues provide a basis for the following assertions:

• Ecological factors are, first, diverse (potentially unlimited) changing natural forces; second, the adaptive responses of biological objects to the impact of ecological factors constitute their survivability; third, the influence of environmental factors on individuals within a population should be considered through the concept of survival functions; fourth, despite the potentially infinite variety of ecological factors, their corresponding survival coefficient functions can be classified into six types.
• The interaction of environmental factors forms a kind of survivability hypervolume, created by the interaction of survival coefficient functions corresponding to the ecological factors of the environment.